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_ext
0.00/0.00	% Ordering    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n111.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:50:08 CST 2018
0.00/0.32	% done 163 iterations in 0.123s
0.00/0.32	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.32	% SZS output start Refutation
0.00/0.33	tff(conj_1, axiom,
0.00/0.33	  (pp(aa(dB,bool,it,
0.00/0.33	         aa(dB,dB,
0.00/0.33	            aa(dB,fun(dB,dB),app,
0.00/0.33	               foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),
0.00/0.33	            var(i)))))).
0.00/0.33	tff('0', plain,
0.00/0.33	    pp(
0.00/0.33	      aa(dB, bool, it, 
0.00/0.33	        aa(dB, dB, 
0.00/0.33	          aa(dB, fun(dB, dB), app, 
0.00/0.33	            foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)))),
0.00/0.33	    inference('cnf', [status(esa)], [conj_1])).
0.00/0.33	tff(fact_34_foldl__Nil, axiom,
0.00/0.33	  (![B:$tType,A1:$tType,A:A1,F:fun(A1,fun(B,A1))]:
0.00/0.33	     (foldl(A1,B,F,A,nil(B)) = A))).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X143 : $tType, X144 : X143, X145 : $tType, 
0.00/0.33	      X146 : fun(X143, fun(X145, X143))]:
0.00/0.33	      foldl(X143, X145, X146, X144, nil(X145)) = X144,
0.00/0.33	    inference('cnf', [status(esa)], [fact_34_foldl__Nil])).
0.00/0.33	tff(fact_5_App__eq__foldl__conv, axiom,
0.00/0.33	  (![Ts:list(dB),Ta:dB,S:dB,R:dB]:
0.00/0.33	     ((aa(dB,dB,aa(dB,fun(dB,dB),app,R),S) = foldl(dB,dB,app,Ta,Ts)) <=>
0.00/0.33	      (((Ts != nil(dB)) =>
0.00/0.33	        (?[Ss2:list(dB)]:
0.00/0.33	           ((R = foldl(dB,dB,app,Ta,Ss2)) & 
0.00/0.33	            (Ts = append(dB,Ss2,cons(dB,S,nil(dB))))))) & 
0.00/0.33	       ((Ts = nil(dB)) => (aa(dB,dB,aa(dB,fun(dB,dB),app,R),S) = Ta)))))).
0.00/0.33	tff('2', plain,
0.00/0.33	    ![X19 : list(dB), X21 : dB, X22 : dB, X23 : dB, X24 : list(dB)]:
0.00/0.33	      (aa(dB, dB, aa(dB, fun(dB, dB), app, X23), X21)
0.00/0.33	        = foldl(dB, dB, app, X22, X19)
0.00/0.33	       | X19 = nil(dB)
0.00/0.33	       | X23 != foldl(dB, dB, app, X22, X24)
0.00/0.33	       | X19 != append(dB, X24, cons(dB, X21, nil(dB)))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_5_App__eq__foldl__conv])).
0.00/0.33	tff('3', plain,
0.00/0.33	    ![X21 : dB, X22 : dB, X24 : list(dB)]:
0.00/0.33	      (append(dB, X24, cons(dB, X21, nil(dB))) = nil(dB)
0.00/0.33	       | aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X22, X24)), 
0.00/0.33	           X21)
0.00/0.33	          = foldl(dB, dB, app, X22, append(dB, X24, cons(dB, X21, nil(dB))))),
0.00/0.33	    inference('simplify', [status(thm)], ['2'])).
0.00/0.33	tff(fact_51_rotate__simps, axiom,
0.00/0.33	  (![A1:$tType,B:$tType,Xs1:list(B),X1:B]:
0.00/0.33	     ((rotate1(B,cons(B,X1,Xs1)) = append(B,Xs1,cons(B,X1,nil(B)))) & 
0.00/0.33	      (rotate1(A1,nil(A1)) = nil(A1))))).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X196 : $tType, X197 : list(X196), X198 : X196]:
0.00/0.33	      rotate1(X196, cons(X196, X198, X197))
0.00/0.33	       = append(X196, X197, cons(X196, X198, nil(X196))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_51_rotate__simps])).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X21 : dB, X22 : dB, X24 : list(dB)]:
0.00/0.33	      (rotate1(dB, cons(dB, X21, X24)) = nil(dB)
0.00/0.33	       | aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X22, X24)), 
0.00/0.33	           X21)
0.00/0.33	          = foldl(dB, dB, app, X22, rotate1(dB, cons(dB, X21, X24)))),
0.00/0.33	    inference('demod', [status(thm)], ['3', '4', '4'])).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X0 : dB, X1 : dB]:
0.00/0.33	      (aa(dB, dB, aa(dB, fun(dB, dB), app, X0), X1)
0.00/0.33	        = foldl(dB, dB, app, X0, rotate1(dB, cons(dB, X1, nil(dB))))
0.00/0.33	       | rotate1(dB, cons(dB, X1, nil(dB))) = nil(dB)),
0.00/0.33	    inference('sup+', [status(thm)], ['1', '5'])).
0.00/0.33	tff(fact_32_append__Nil, axiom,
0.00/0.33	  (![A1:$tType,Ys1:list(A1)]: (append(A1,nil(A1),Ys1) = Ys1))).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X135 : $tType, X136 : list(X135)]: append(X135, nil(X135), X136) = X136,
0.00/0.33	    inference('cnf', [status(esa)], [fact_32_append__Nil])).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0]:
0.00/0.33	      rotate1(X0, cons(X0, X1, nil(X0))) = cons(X0, X1, nil(X0)),
0.00/0.33	    inference('sup+', [status(thm)], ['4', '7'])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0 : dB, X1 : dB]:
0.00/0.33	      (aa(dB, dB, aa(dB, fun(dB, dB), app, X0), X1)
0.00/0.33	        = foldl(dB, dB, app, X0, cons(dB, X1, nil(dB)))
0.00/0.33	       | cons(dB, X1, nil(dB)) = nil(dB)),
0.00/0.33	    inference('demod', [status(thm)], ['6', '8', '8'])).
0.00/0.33	tff(fact_23_not__Cons__self2, axiom,
0.00/0.33	  (![A1:$tType,Xs1:list(A1),X1:A1]: (cons(A1,X1,Xs1) != Xs1))).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X98 : $tType, X99 : list(X98), X100 : X98]: cons(X98, X100, X99) != X99,
0.00/0.33	    inference('cnf', [status(esa)], [fact_23_not__Cons__self2])).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X0 : dB, X1 : dB]:
0.00/0.33	      aa(dB, dB, aa(dB, fun(dB, dB), app, X0), X1)
0.00/0.33	       = foldl(dB, dB, app, X0, cons(dB, X1, nil(dB))),
0.00/0.33	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
0.00/0.33	tff(fact_6_app__last, axiom,
0.00/0.33	  (![U2:dB,Ts:list(dB),Ta:dB]:
0.00/0.33	     (aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,Ta,Ts)),U2) =
0.00/0.33	      foldl(dB,dB,app,Ta,append(dB,Ts,cons(dB,U2,nil(dB))))))).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X25 : dB, X26 : list(dB), X27 : dB]:
0.00/0.33	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X25, X26)), X27)
0.00/0.33	       = foldl(dB, dB, app, X25, append(dB, X26, cons(dB, X27, nil(dB)))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_6_app__last])).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X25 : dB, X26 : list(dB), X27 : dB]:
0.00/0.33	      foldl(dB, dB, app, foldl(dB, dB, app, X25, X26), 
0.00/0.33	        cons(dB, X27, nil(dB)))
0.00/0.33	       = foldl(dB, dB, app, X25, rotate1(dB, cons(dB, X27, X26))),
0.00/0.33	    inference('demod', [status(thm)], ['12', '11', '4'])).
0.00/0.33	tff('14', plain,
0.00/0.33	    pp(
0.00/0.33	      aa(dB, bool, it, 
0.00/0.33	        foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.33	          rotate1(dB, cons(dB, var(i), ss))))),
0.00/0.33	    inference('demod', [status(thm)], ['0', '11', '13'])).
0.00/0.33	tff(conj_4, conjecture,
0.00/0.33	  (pp(aa(dB,bool,it,
0.00/0.33	         foldl(dB,dB,app,subst(r,s,zero_zero(nat)),
0.00/0.33	               append(dB,ss,cons(dB,var(i),nil(dB)))))))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (~
0.00/0.33	    pp(aa(dB,bool,it,
0.00/0.33	          foldl(dB,dB,app,subst(r,s,zero_zero(nat)),
0.00/0.33	                append(dB,ss,cons(dB,var(i),nil(dB)))))))).
0.00/0.33	tff('15', plain,
0.00/0.33	    ~ pp(
0.00/0.33	        aa(dB, bool, it, 
0.00/0.33	          foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.33	            append(dB, ss, cons(dB, var(i), nil(dB)))))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('16', plain,
0.00/0.33	    ~ pp(
0.00/0.33	        aa(dB, bool, it, 
0.00/0.33	          foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.33	            rotate1(dB, cons(dB, var(i), ss))))),
0.00/0.33	    inference('demod', [status(thm)], ['15', '4'])).
0.00/0.33	tff('17', plain, ~ $true, inference('sup-', [status(thm)], ['14', '16'])).
0.00/0.33	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
0.00/0.33	
0.00/0.33	% SZS output end Refutation
0.00/0.33	EOF
