0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n172.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 15:49:54 CST 2018
2.06/2.26	% done 570 iterations in 2.060s
2.06/2.26	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
2.06/2.26	% SZS output start Refutation
2.06/2.26	tff(cPROB757, conjecture,
2.06/2.26	  (((![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	       ((el1(Xx1,cHH_2) & el1(Xx2,cHH_2) & el1(Xy1,cHH_2) & el1(Xy2,cHH_2) & 
2.06/2.26	         (Xx1 = Xx2) & (Xy1 = Xy2)) =>
2.06/2.26	        (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 
2.06/2.26	    (![Xx1,Xx2]:
2.06/2.26	       ((el1(Xx1,cSS_PRIME) & el1(Xx2,cSS_PRIME)) =>
2.06/2.26	        el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 
2.06/2.26	    (![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	       ((el1(Xx1,cHH_1) & el1(Xx2,cHH_1) & el1(Xy1,cHH_1) & el1(Xy2,cHH_1) & 
2.06/2.26	         (Xx1 = Xx2) & (Xy1 = Xy2)) =>
2.06/2.26	        (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 
2.06/2.26	    (![Xphi:($i > $i)]:
2.06/2.26	       (cHOM_FROM_SS_PRIME(Xphi) <=>
2.06/2.26	        (![Xx,Xy]:
2.06/2.26	           ((el1(Xx,cSS_PRIME) & el1(Xy,cSS_PRIME)) =>
2.06/2.26	            (Xphi(cTIMES(Xx,Xy)) = cTIMES(Xphi(Xx),Xphi(Xy))))))) & 
2.06/2.26	    (cHOM_FROM_HH_1(cBIGPHI) <=>
2.06/2.26	     (![Xx,Xy]:
2.06/2.26	        ((el1(Xx,cHH_1) & el1(Xy,cHH_1)) =>
2.06/2.26	         (cBIGPHI(cTIMES(Xx,Xy)) = cTIMES(cBIGPHI(Xx),cBIGPHI(Xy)))))) & 
2.06/2.26	    (![Xx,Xy]: ((el1(Xx,cHH_1) & el1(Xy,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 
2.06/2.26	    (![Xx,Xy]:
2.06/2.26	       ((el1(Xx,cHH_1) & el1(Xy,cHH_1) & (Xx = Xy)) =>
2.06/2.26	        (cBIGHI(Xx) = cBIGPHI(Xy)))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 
2.06/2.26	    (![Xy]:
2.06/2.26	       (el1(Xy,cHH_1) => (?[Xx]: (el1(Xx,cSS_PRIME) & (cPHI_1(Xx) = Xy))))) & 
2.06/2.26	    cHOM_FROM_SS_PRIME(cPHI_1) & cHOM_FROM_SS_PRIME(cPHI_2)) =>
2.06/2.26	   cHOM_FROM_HH_1(cBIGPHI))).
2.06/2.26	tff(zf_stmt_0, type, zip_tseitin3 : ($i * $i) > $o).
2.06/2.26	tff(zf_stmt_1, axiom,
2.06/2.26	  (zip_tseitin3(Xy,Xx) <=>
2.06/2.26	   (zip_tseitin2(Xy,Xx) =>
2.06/2.26	    (cBIGPHI(cTIMES(Xx,Xy)) = cTIMES(cBIGPHI(Xx),cBIGPHI(Xy)))))).
2.06/2.26	tff(zf_stmt_2, type, zip_tseitin2 : ($i * $i) > $o).
2.06/2.26	tff(zf_stmt_3, axiom,
2.06/2.26	  (zip_tseitin2(Xy,Xx) <=> (el1(Xy,cHH_1) & el1(Xx,cHH_1)))).
2.06/2.26	tff(zf_stmt_4, type, zip_tseitin1 : ($i * $i * $i > $i) > $o).
2.06/2.26	tff(zf_stmt_5, axiom,
2.06/2.26	  (zip_tseitin1(Xy,Xx,Xphi) <=>
2.06/2.26	   (zip_tseitin0(Xy,Xx) => (Xphi(cTIMES(Xx,Xy)) = cTIMES(Xphi(Xx),Xphi(Xy)))))).
2.06/2.26	tff(zf_stmt_6, type, zip_tseitin0 : ($i * $i) > $o).
2.06/2.26	tff(zf_stmt_7, axiom,
2.06/2.26	  (zip_tseitin0(Xy,Xx) <=> (el1(Xy,cSS_PRIME) & el1(Xx,cSS_PRIME)))).
2.06/2.26	tff(zf_stmt_8, conjecture,
2.06/2.26	  ((cHOM_FROM_SS_PRIME(cPHI_2) & cHOM_FROM_SS_PRIME(cPHI_1) & 
2.06/2.26	    (![Xy]:
2.06/2.26	       (el1(Xy,cHH_1) => (?[Xx]: ((cPHI_1(Xx) = Xy) & el1(Xx,cSS_PRIME))))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 
2.06/2.26	    (![Xx,Xy]:
2.06/2.26	       (((Xx = Xy) & el1(Xy,cHH_1) & el1(Xx,cHH_1)) =>
2.06/2.26	        (cBIGHI(Xx) = cBIGPHI(Xy)))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 
2.06/2.26	    (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 
2.06/2.26	    (![Xx,Xy]: ((el1(Xy,cHH_1) & el1(Xx,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 
2.06/2.26	    (cHOM_FROM_HH_1(cBIGPHI) <=> (![Xx,Xy]: zip_tseitin3(Xy,Xx))) & 
2.06/2.26	    (![Xphi:($i > $i)]:
2.06/2.26	       (cHOM_FROM_SS_PRIME(Xphi) <=> (![Xx,Xy]: zip_tseitin1(Xy,Xx,Xphi)))) & 
2.06/2.26	    (![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	       (((Xy1 = Xy2) & (Xx1 = Xx2) & el1(Xy2,cHH_1) & el1(Xy1,cHH_1) & 
2.06/2.26	         el1(Xx2,cHH_1) & el1(Xx1,cHH_1)) =>
2.06/2.26	        (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 
2.06/2.26	    (![Xx1,Xx2]:
2.06/2.26	       ((el1(Xx2,cSS_PRIME) & el1(Xx1,cSS_PRIME)) =>
2.06/2.26	        el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 
2.06/2.26	    (![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	       (((Xy1 = Xy2) & (Xx1 = Xx2) & el1(Xy2,cHH_2) & el1(Xy1,cHH_2) & 
2.06/2.26	         el1(Xx2,cHH_2) & el1(Xx1,cHH_2)) =>
2.06/2.26	        (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2))))) =>
2.06/2.26	   cHOM_FROM_HH_1(cBIGPHI))).
2.06/2.26	tff(zf_stmt_9, negated_conjecture,
2.06/2.26	  (~
2.06/2.26	    ((cHOM_FROM_SS_PRIME(cPHI_2) & cHOM_FROM_SS_PRIME(cPHI_1) & 
2.06/2.26	      (![Xy]:
2.06/2.26	         (el1(Xy,cHH_1) => (?[Xx]: ((cPHI_1(Xx) = Xy) & el1(Xx,cSS_PRIME))))) & 
2.06/2.26	      (![Xx]: (el1(Xx,cSS_PRIME) => (cBIGPHI(cPHI_1(Xx)) = cPHI_2(Xx)))) & 
2.06/2.26	      (![Xx,Xy]:
2.06/2.26	         (((Xx = Xy) & el1(Xy,cHH_1) & el1(Xx,cHH_1)) =>
2.06/2.26	          (cBIGHI(Xx) = cBIGPHI(Xy)))) & 
2.06/2.26	      (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_1(Xx),cHH_1))) & 
2.06/2.26	      (![Xx]: (el1(Xx,cHH_1) => el1(cBIGPHI(Xx),cHH_2))) & 
2.06/2.26	      (![Xx]: (el1(Xx,cSS_PRIME) => el1(cPHI_2(Xx),cHH_2))) & 
2.06/2.26	      (![Xx,Xy]:
2.06/2.26	         ((el1(Xy,cHH_1) & el1(Xx,cHH_1)) => el1(cTIMES(Xx,Xy),cHH_1))) & 
2.06/2.26	      (cHOM_FROM_HH_1(cBIGPHI) <=> (![Xx,Xy]: zip_tseitin3(Xy,Xx))) & 
2.06/2.26	      (![Xphi:($i > $i)]:
2.06/2.26	         (cHOM_FROM_SS_PRIME(Xphi) <=> (![Xx,Xy]: zip_tseitin1(Xy,Xx,Xphi)))) & 
2.06/2.26	      (![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	         (((Xy1 = Xy2) & (Xx1 = Xx2) & el1(Xy2,cHH_1) & el1(Xy1,cHH_1) & 
2.06/2.26	           el1(Xx2,cHH_1) & el1(Xx1,cHH_1)) =>
2.06/2.26	          (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2)))) & 
2.06/2.26	      (![Xx1,Xx2]:
2.06/2.26	         ((el1(Xx2,cSS_PRIME) & el1(Xx1,cSS_PRIME)) =>
2.06/2.26	          el1(cTIMES(Xx1,Xx2),cSS_PRIME))) & 
2.06/2.26	      (![Xx1,Xx2,Xy1,Xy2]:
2.06/2.26	         (((Xy1 = Xy2) & (Xx1 = Xx2) & el1(Xy2,cHH_2) & el1(Xy1,cHH_2) & 
2.06/2.26	           el1(Xx2,cHH_2) & el1(Xx1,cHH_2)) =>
2.06/2.26	          (cTIMES(Xx1,Xy1) = cTIMES(Xx2,Xy2))))) =>
2.06/2.26	     cHOM_FROM_HH_1(cBIGPHI)))).
2.06/2.26	tff('0', plain, ![X5]: (cPHI_1(sk_Xx2(X5)) = X5 | ~ el1(X5, cHH_1)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('1', plain,
2.06/2.26	    ![X6]: (cBIGPHI(cPHI_1(X6)) = cPHI_2(X6) | ~ el1(X6, cSS_PRIME)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('2', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (zip_tseitin0(X0, X1) | ~ el1(X1, cSS_PRIME) | ~ el1(X0, cSS_PRIME)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_7])).
2.06/2.26	tff('3', plain,
2.06/2.26	    ![X0, X1, X2 : $i > $i]:
2.06/2.26	      (~ zip_tseitin0(X0, X1)
2.06/2.26	       | X2(cTIMES(X1, X0)) = cTIMES(X2(X1), X2(X0))
2.06/2.26	       | ~ zip_tseitin1(X0, X1, X2)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.06/2.26	tff('4', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cPHI_1(cTIMES(X1, X0))) = cTIMES(cPHI_2(X1), cPHI_2(X0))
2.06/2.26	       | ~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | ~ zip_tseitin1(X0, X1, cPHI_2)
2.06/2.26	       | ~ zip_tseitin0(X0, X1)),
2.06/2.26	    inference('sup+', [status(thm)], ['1', '3'])).
2.06/2.26	tff('5', plain, cHOM_FROM_SS_PRIME(cPHI_2),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('6', plain,
2.06/2.26	    ![X17, X18, X19 : $i > $i]:
2.06/2.26	      (zip_tseitin1(X17, X18, X19) | ~ cHOM_FROM_SS_PRIME(X19)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('7', plain, ![X0, X1]: (~ $true | zip_tseitin1(X1, X0, cPHI_2)),
2.06/2.26	    inference('sup-', [status(thm)], ['5', '6'])).
2.06/2.26	tff('8', plain, ![X0, X1]: zip_tseitin1(X1, X0, cPHI_2),
2.06/2.26	    inference('simplify', [status(thm)], ['7'])).
2.06/2.26	tff('9', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cPHI_1(cTIMES(X1, X0))) = cTIMES(cPHI_2(X1), cPHI_2(X0))
2.06/2.26	       | ~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | ~ $true
2.06/2.26	       | ~ zip_tseitin0(X0, X1)),
2.06/2.26	    inference('demod', [status(thm)], ['4', '8'])).
2.06/2.26	tff('10', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ zip_tseitin0(X0, X1)
2.06/2.26	       | ~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | cBIGPHI(cPHI_1(cTIMES(X1, X0))) = cTIMES(cPHI_2(X1), cPHI_2(X0))),
2.06/2.26	    inference('simplify', [status(thm)], ['9'])).
2.06/2.26	tff('11', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(cPHI_1(X1), cPHI_1(X0)))
2.06/2.26	        = cTIMES(cPHI_2(X1), cPHI_2(X0))
2.06/2.26	       | ~ zip_tseitin1(X0, X1, cPHI_1)
2.06/2.26	       | ~ zip_tseitin0(X0, X1)
2.06/2.26	       | ~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | ~ zip_tseitin0(X0, X1)),
2.06/2.26	    inference('sup+', [status(thm)], ['3', '10'])).
2.06/2.26	tff('12', plain, cHOM_FROM_SS_PRIME(cPHI_1),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('13', plain, ![X0, X1]: (~ $true | zip_tseitin1(X1, X0, cPHI_1)),
2.06/2.26	    inference('sup-', [status(thm)], ['12', '6'])).
2.06/2.26	tff('14', plain, ![X0, X1]: zip_tseitin1(X1, X0, cPHI_1),
2.06/2.26	    inference('simplify', [status(thm)], ['13'])).
2.06/2.26	tff('15', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(cPHI_1(X1), cPHI_1(X0)))
2.06/2.26	        = cTIMES(cPHI_2(X1), cPHI_2(X0))
2.06/2.26	       | ~ $true
2.06/2.26	       | ~ zip_tseitin0(X0, X1)
2.06/2.26	       | ~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | ~ zip_tseitin0(X0, X1)),
2.06/2.26	    inference('demod', [status(thm)], ['11', '14'])).
2.06/2.26	tff('16', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(cTIMES(X1, X0), cSS_PRIME)
2.06/2.26	       | ~ zip_tseitin0(X0, X1)
2.06/2.26	       | cBIGPHI(cTIMES(cPHI_1(X1), cPHI_1(X0)))
2.06/2.26	          = cTIMES(cPHI_2(X1), cPHI_2(X0))),
2.06/2.26	    inference('simplify', [status(thm)], ['15'])).
2.06/2.26	tff('17', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ $true
2.06/2.26	       | ~ el1(X1, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | cBIGPHI(cTIMES(cPHI_1(X0), cPHI_1(X1)))
2.06/2.26	          = cTIMES(cPHI_2(X0), cPHI_2(X1))
2.06/2.26	       | ~ el1(cTIMES(X0, X1), cSS_PRIME)),
2.06/2.26	    inference('sup-', [status(thm)], ['2', '16'])).
2.06/2.26	tff('18', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(cTIMES(X0, X1), cSS_PRIME)
2.06/2.26	       | cBIGPHI(cTIMES(cPHI_1(X0), cPHI_1(X1)))
2.06/2.26	          = cTIMES(cPHI_2(X0), cPHI_2(X1))
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | ~ el1(X1, cSS_PRIME)),
2.06/2.26	    inference('simplify', [status(thm)], ['17'])).
2.06/2.26	tff('19', plain,
2.06/2.26	    ![X24, X25]:
2.06/2.26	      (~ el1(X24, cSS_PRIME)
2.06/2.26	       | ~ el1(X25, cSS_PRIME)
2.06/2.26	       | el1(cTIMES(X24, X25), cSS_PRIME)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('20', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | cBIGPHI(cTIMES(cPHI_1(X0), cPHI_1(X1)))
2.06/2.26	          = cTIMES(cPHI_2(X0), cPHI_2(X1))),
2.06/2.26	    inference('clc', [status(thm)], ['18', '19'])).
2.06/2.26	tff('21', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(cPHI_1(X0), cPHI_1(X1)))
2.06/2.26	        = cTIMES(cBIGPHI(cPHI_1(X0)), cPHI_2(X1))
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | ~ el1(X1, cSS_PRIME)),
2.06/2.26	    inference('sup+', [status(thm)], ['1', '20'])).
2.06/2.26	tff('22', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | cBIGPHI(cTIMES(cPHI_1(X0), cPHI_1(X1)))
2.06/2.26	          = cTIMES(cBIGPHI(cPHI_1(X0)), cPHI_2(X1))),
2.06/2.26	    inference('simplify', [status(thm)], ['21'])).
2.06/2.26	tff('23', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(X0, cPHI_1(X1)))
2.06/2.26	        = cTIMES(cBIGPHI(cPHI_1(sk_Xx2(X0))), cPHI_2(X1))
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(sk_Xx2(X0), cSS_PRIME)
2.06/2.26	       | ~ el1(X1, cSS_PRIME)),
2.06/2.26	    inference('sup+', [status(thm)], ['0', '22'])).
2.06/2.26	tff('24', plain, ![X5]: (el1(sk_Xx2(X5), cSS_PRIME) | ~ el1(X5, cHH_1)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('25', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | cBIGPHI(cTIMES(X0, cPHI_1(X1)))
2.06/2.26	          = cTIMES(cBIGPHI(cPHI_1(sk_Xx2(X0))), cPHI_2(X1))),
2.06/2.26	    inference('clc', [status(thm)], ['23', '24'])).
2.06/2.26	tff('26', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(X0, cPHI_1(X1))) = cTIMES(cBIGPHI(X0), cPHI_2(X1))
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(X1, cSS_PRIME)),
2.06/2.26	    inference('sup+', [status(thm)], ['0', '25'])).
2.06/2.26	tff('27', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cSS_PRIME)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | cBIGPHI(cTIMES(X0, cPHI_1(X1))) = cTIMES(cBIGPHI(X0), cPHI_2(X1))),
2.06/2.26	    inference('simplify', [status(thm)], ['26'])).
2.06/2.26	tff('28', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(X1, cPHI_1(X0)))
2.06/2.26	        = cTIMES(cBIGPHI(X1), cBIGPHI(cPHI_1(X0)))
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | ~ el1(X1, cHH_1)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)),
2.06/2.26	    inference('sup+', [status(thm)], ['1', '27'])).
2.06/2.26	tff('29', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cHH_1)
2.06/2.26	       | ~ el1(X0, cSS_PRIME)
2.06/2.26	       | cBIGPHI(cTIMES(X1, cPHI_1(X0)))
2.06/2.26	          = cTIMES(cBIGPHI(X1), cBIGPHI(cPHI_1(X0)))),
2.06/2.26	    inference('simplify', [status(thm)], ['28'])).
2.06/2.26	tff('30', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(X1, X0))
2.06/2.26	        = cTIMES(cBIGPHI(X1), cBIGPHI(cPHI_1(sk_Xx2(X0))))
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(sk_Xx2(X0), cSS_PRIME)
2.06/2.26	       | ~ el1(X1, cHH_1)),
2.06/2.26	    inference('sup+', [status(thm)], ['0', '29'])).
2.06/2.26	tff('31', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cHH_1)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | cBIGPHI(cTIMES(X1, X0))
2.06/2.26	          = cTIMES(cBIGPHI(X1), cBIGPHI(cPHI_1(sk_Xx2(X0))))),
2.06/2.26	    inference('clc', [status(thm)], ['30', '24'])).
2.06/2.26	tff('32', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (cBIGPHI(cTIMES(X1, X0)) = cTIMES(cBIGPHI(X1), cBIGPHI(X0))
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | ~ el1(X1, cHH_1)),
2.06/2.26	    inference('sup+', [status(thm)], ['0', '31'])).
2.06/2.26	tff('33', plain,
2.06/2.26	    ![X0, X1]:
2.06/2.26	      (~ el1(X1, cHH_1)
2.06/2.26	       | ~ el1(X0, cHH_1)
2.06/2.26	       | cBIGPHI(cTIMES(X1, X0)) = cTIMES(cBIGPHI(X1), cBIGPHI(X0))),
2.06/2.26	    inference('simplify', [status(thm)], ['32'])).
2.06/2.26	tff('34', plain,
2.06/2.26	    ![X3, X4]:
2.06/2.26	      (zip_tseitin3(X3, X4)
2.06/2.26	       | cBIGPHI(cTIMES(X4, X3)) != cTIMES(cBIGPHI(X4), cBIGPHI(X3))),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.06/2.26	tff('35', plain, (cHOM_FROM_HH_1(cBIGPHI) | ~ zip_tseitin3(sk_Xy1, sk_Xx1)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('36', plain, ~ cHOM_FROM_HH_1(cBIGPHI),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.06/2.26	tff('37', plain, ~ zip_tseitin3(sk_Xy1, sk_Xx1),
2.06/2.26	    inference('clc', [status(thm)], ['35', '36'])).
2.06/2.26	tff('38', plain,
2.06/2.26	    (~ $true
2.06/2.26	     | cBIGPHI(cTIMES(sk_Xx1, sk_Xy1))
2.06/2.26	        != cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1))),
2.06/2.26	    inference('sup-', [status(thm)], ['34', '37'])).
2.06/2.26	tff('39', plain,
2.06/2.26	    cBIGPHI(cTIMES(sk_Xx1, sk_Xy1))
2.06/2.26	     != cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1)),
2.06/2.26	    inference('simplify', [status(thm)], ['38'])).
2.06/2.26	tff('40', plain,
2.06/2.26	    (cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1))
2.06/2.26	      != cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1))
2.06/2.26	     | ~ el1(sk_Xy1, cHH_1)
2.06/2.26	     | ~ el1(sk_Xx1, cHH_1)),
2.06/2.26	    inference('sup-', [status(thm)], ['33', '39'])).
2.06/2.26	tff('41', plain, ![X3, X4]: (zip_tseitin3(X3, X4) | zip_tseitin2(X3, X4)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.06/2.26	tff('42', plain, (~ $true | zip_tseitin2(sk_Xy1, sk_Xx1)),
2.06/2.26	    inference('sup-', [status(thm)], ['41', '37'])).
2.06/2.26	tff('43', plain, zip_tseitin2(sk_Xy1, sk_Xx1),
2.06/2.26	    inference('simplify', [status(thm)], ['42'])).
2.06/2.26	tff('44', plain, ![X3, X4]: (el1(X3, cHH_1) | ~ zip_tseitin2(X3, X4)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.06/2.26	tff('45', plain, (~ $true | el1(sk_Xy1, cHH_1)),
2.06/2.26	    inference('sup-', [status(thm)], ['43', '44'])).
2.06/2.26	tff('46', plain, el1(sk_Xy1, cHH_1),
2.06/2.26	    inference('simplify', [status(thm)], ['45'])).
2.06/2.26	tff('47', plain, ![X3, X4]: (el1(X4, cHH_1) | ~ zip_tseitin2(X3, X4)),
2.06/2.26	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.06/2.26	tff('48', plain, (~ $true | el1(sk_Xx1, cHH_1)),
2.06/2.26	    inference('sup-', [status(thm)], ['43', '47'])).
2.06/2.26	tff('49', plain, el1(sk_Xx1, cHH_1),
2.06/2.26	    inference('simplify', [status(thm)], ['48'])).
2.06/2.26	tff('50', plain,
2.06/2.26	    (cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1))
2.06/2.26	      != cTIMES(cBIGPHI(sk_Xx1), cBIGPHI(sk_Xy1))
2.06/2.26	     | ~ $true
2.06/2.26	     | ~ $true),
2.06/2.26	    inference('demod', [status(thm)], ['40', '46', '49'])).
2.06/2.26	tff('51', plain, $false, inference('simplify', [status(thm)], ['50'])).
2.06/2.26	
2.06/2.26	% SZS output end Refutation
2.06/2.26	EOF
