0.00/0.00	% File    : /export/starexec/sandbox2/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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n119.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:50:53 CST 2018
0.00/0.33	% done 188 iterations in 0.127s
0.00/0.33	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff(conj_1, axiom,
0.00/0.33	  (pp(aa(dB,bool,it,
0.00/0.33	         aa(dB,dB,
0.00/0.33	            aa(dB,fun(dB,dB),app,
0.00/0.33	               foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),
0.00/0.33	            var(i)))))).
0.00/0.33	tff('0', plain,
0.00/0.33	    pp(
0.00/0.33	      aa(dB, bool, it, 
0.00/0.33	        aa(dB, dB, 
0.00/0.33	          aa(dB, fun(dB, dB), app, 
0.00/0.33	            foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)))),
0.00/0.33	    inference('cnf', [status(esa)], [conj_1])).
0.00/0.33	tff(fact_75_mem__def, axiom,
0.00/0.33	  (![A1:$tType,A2:fun(A1,bool),X1:A1]:
0.00/0.33	     (member(A1,X1,A2) <=> pp(aa(A1,bool,A2,X1))))).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X286 : $tType, X287 : fun(X286, bool), X289 : X286]:
0.00/0.33	      (member(X286, X289, X287) | ~ pp(aa(X286, bool, X287, X289))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_75_mem__def])).
0.00/0.33	tff('2', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | member(dB, 
0.00/0.33	         aa(dB, dB, 
0.00/0.33	           aa(dB, fun(dB, dB), app, 
0.00/0.33	             foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)), 
0.00/0.33	         it)),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.33	tff('3', plain,
0.00/0.33	    member(dB, 
0.00/0.33	      aa(dB, dB, 
0.00/0.33	        aa(dB, fun(dB, dB), app, 
0.00/0.33	          foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)), it),
0.00/0.33	    inference('simplify', [status(thm)], ['2'])).
0.00/0.33	tff(fact_9_App__eq__foldl__conv, axiom,
0.00/0.33	  (![Ts:list(dB),Ta:dB,S:dB,R:dB]:
0.00/0.33	     ((aa(dB,dB,aa(dB,fun(dB,dB),app,R),S) = foldl(dB,dB,app,Ta,Ts)) <=>
0.00/0.33	      (((Ts != nil(dB)) =>
0.00/0.33	        (?[Ss2:list(dB)]:
0.00/0.33	           ((R = foldl(dB,dB,app,Ta,Ss2)) & 
0.00/0.33	            (Ts = append(dB,Ss2,cons(dB,S,nil(dB))))))) & 
0.00/0.33	       ((Ts = nil(dB)) => (aa(dB,dB,aa(dB,fun(dB,dB),app,R),S) = Ta)))))).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X35 : list(dB), X37 : dB, X38 : dB, X39 : dB, X40 : list(dB)]:
0.00/0.33	      (aa(dB, dB, aa(dB, fun(dB, dB), app, X39), X37)
0.00/0.33	        = foldl(dB, dB, app, X38, X35)
0.00/0.33	       | X35 = nil(dB)
0.00/0.33	       | X39 != foldl(dB, dB, app, X38, X40)
0.00/0.33	       | X35 != append(dB, X40, cons(dB, X37, nil(dB)))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_9_App__eq__foldl__conv])).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X37 : dB, X38 : dB, X40 : list(dB)]:
0.00/0.33	      (append(dB, X40, cons(dB, X37, nil(dB))) = nil(dB)
0.00/0.33	       | aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X38, X40)), 
0.00/0.33	           X37)
0.00/0.33	          = foldl(dB, dB, app, X38, append(dB, X40, cons(dB, X37, nil(dB))))),
0.00/0.33	    inference('simplify', [status(thm)], ['4'])).
0.00/0.33	tff(fact_88_rotate__simps, axiom,
0.00/0.33	  (![A1:$tType,B:$tType,Xs:list(B),X:B]:
0.00/0.33	     ((rotate1(B,cons(B,X,Xs)) = append(B,Xs,cons(B,X,nil(B)))) & 
0.00/0.33	      (rotate1(A1,nil(A1)) = nil(A1))))).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X362 : $tType, X363 : list(X362), X364 : X362]:
0.00/0.33	      rotate1(X362, cons(X362, X364, X363))
0.00/0.33	       = append(X362, X363, cons(X362, X364, nil(X362))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_88_rotate__simps])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X37 : dB, X38 : dB, X40 : list(dB)]:
0.00/0.33	      (rotate1(dB, cons(dB, X37, X40)) = nil(dB)
0.00/0.33	       | aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X38, X40)), 
0.00/0.33	           X37)
0.00/0.33	          = foldl(dB, dB, app, X38, rotate1(dB, cons(dB, X37, X40)))),
0.00/0.33	    inference('demod', [status(thm)], ['5', '6', '6'])).
0.00/0.33	tff(fact_38_append__Nil, axiom,
0.00/0.33	  (![A1:$tType,Ys:list(A1)]: (append(A1,nil(A1),Ys) = Ys))).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X155 : $tType, X156 : list(X155)]: append(X155, nil(X155), X156) = X156,
0.00/0.33	    inference('cnf', [status(esa)], [fact_38_append__Nil])).
0.00/0.33	tff(fact_17_append__assoc, axiom,
0.00/0.33	  (![A1:$tType,Zs2:list(A1),Ys:list(A1),Xs:list(A1)]:
0.00/0.33	     (append(A1,append(A1,Xs,Ys),Zs2) = append(A1,Xs,append(A1,Ys,Zs2))))).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X69 : $tType, X70 : list(X69), X71 : list(X69), X72 : list(X69)]:
0.00/0.33	      append(X69, append(X69, X70, X71), X72)
0.00/0.33	       = append(X69, X70, append(X69, X71, X72)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_17_append__assoc])).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0, X2 : list(X0), X3 : list(X0)]:
0.00/0.33	      rotate1(X0, cons(X0, X1, append(X0, X3, X2)))
0.00/0.33	       = append(X0, X3, append(X0, X2, cons(X0, X1, nil(X0)))),
0.00/0.33	    inference('sup+', [status(thm)], ['9', '6'])).
0.00/0.33	tff(fact_21_append__Cons, axiom,
0.00/0.33	  (![A1:$tType,Ys:list(A1),Xs:list(A1),X:A1]:
0.00/0.33	     (append(A1,cons(A1,X,Xs),Ys) = cons(A1,X,append(A1,Xs,Ys))))).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X84 : $tType, X85 : X84, X86 : list(X84), X87 : list(X84)]:
0.00/0.33	      append(X84, cons(X84, X85, X86), X87)
0.00/0.33	       = cons(X84, X85, append(X84, X86, X87)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_21_append__Cons])).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0, X2 : list(X0), X3 : list(X0)]:
0.00/0.33	      rotate1(X0, append(X0, cons(X0, X1, X3), X2))
0.00/0.33	       = append(X0, X3, rotate1(X0, cons(X0, X1, X2))),
0.00/0.33	    inference('demod', [status(thm)], ['10', '11', '6'])).
0.00/0.33	tff(fact_90_rotate1__is__Nil__conv, axiom,
0.00/0.33	  (![A1:$tType,Xs1:list(A1)]:
0.00/0.33	     ((rotate1(A1,Xs1) = nil(A1)) <=> (Xs1 = nil(A1))))).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X371 : $tType, X372 : list(X371)]:
0.00/0.33	      (X372 = nil(X371) | rotate1(X371, X372) != nil(X371)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_90_rotate1__is__Nil__conv])).
0.00/0.33	tff('14', plain,
0.00/0.33	    ![X0 : $tType, X1 : list(X0), X2 : X0, X3 : list(X0)]:
0.00/0.33	      (append(X0, X3, rotate1(X0, cons(X0, X2, X1))) != nil(X0)
0.00/0.33	       | append(X0, cons(X0, X2, X3), X1) = nil(X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['12', '13'])).
0.00/0.33	tff(fact_33_list_Osimps_I3_J, axiom,
0.00/0.33	  (![A1:$tType,List2:list(A1),A5:A1]: (cons(A1,A5,List2) != nil(A1)))).
0.00/0.33	tff('15', plain,
0.00/0.33	    ![X138 : $tType, X139 : X138, X140 : list(X138)]:
0.00/0.33	      cons(X138, X139, X140) != nil(X138),
0.00/0.33	    inference('cnf', [status(esa)], [fact_33_list_Osimps_I3_J])).
0.00/0.33	tff('16', plain,
0.00/0.33	    ![X0 : $tType, X1 : list(X0), X2 : list(X0), X3 : X0]:
0.00/0.33	      append(X0, cons(X0, X3, X2), X1) != nil(X0),
0.00/0.33	    inference('sup-', [status(thm)], ['11', '15'])).
0.00/0.33	tff('17', plain,
0.00/0.33	    ![X0 : $tType, X1 : list(X0), X2 : X0, X3 : list(X0)]:
0.00/0.33	      append(X0, X3, rotate1(X0, cons(X0, X2, X1))) != nil(X0),
0.00/0.33	    inference('simplify_reflect-', [status(thm)], ['14', '16'])).
0.00/0.33	tff('18', plain,
0.00/0.33	    ![X0 : $tType, X1 : list(X0), X2 : X0]:
0.00/0.33	      rotate1(X0, cons(X0, X2, X1)) != nil(X0),
0.00/0.33	    inference('sup-', [status(thm)], ['8', '17'])).
0.00/0.33	tff('19', plain,
0.00/0.33	    ![X37 : dB, X38 : dB, X40 : list(dB)]:
0.00/0.33	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X38, X40)), X37)
0.00/0.33	       = foldl(dB, dB, app, X38, rotate1(dB, cons(dB, X37, X40))),
0.00/0.33	    inference('simplify_reflect-', [status(thm)], ['7', '18'])).
0.00/0.33	tff('20', plain,
0.00/0.33	    member(dB, 
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))), it),
0.00/0.33	    inference('demod', [status(thm)], ['3', '19'])).
0.00/0.33	tff('21', plain,
0.00/0.33	    ![X286 : $tType, X287 : fun(X286, bool), X288 : X286]:
0.00/0.33	      (pp(aa(X286, bool, X287, X288)) | ~ member(X286, X288, X287)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_75_mem__def])).
0.00/0.33	tff(fact_2_Beta, axiom,
0.00/0.33	  (![Ss1:list(dB),S:dB,R:dB]:
0.00/0.33	     (pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R,S,zero_zero(nat)),Ss1))) =>
0.00/0.33	      (pp(aa(dB,bool,it,S)) =>
0.00/0.33	       pp(aa(dB,bool,it,
0.00/0.33	             foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R)),S),Ss1))))))).
0.00/0.33	tff('22', plain,
0.00/0.33	    ![X4 : dB, X5 : dB, X6 : list(dB)]:
0.00/0.33	      (~ pp(aa(dB, bool, it, X4))
0.00/0.33	       | ~ pp(
0.00/0.33	             aa(dB, bool, it, 
0.00/0.33	               foldl(dB, dB, app, subst(X5, X4, zero_zero(nat)), X6)))
0.00/0.33	       | pp(
0.00/0.33	           aa(dB, bool, it, 
0.00/0.33	             foldl(dB, dB, app, 
0.00/0.33	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X5)), X4), X6)))),
0.00/0.33	    inference('cnf', [status(esa)], [fact_2_Beta])).
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,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),
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,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),
0.00/0.33	                append(dB,ss,cons(dB,var(i),nil(dB)))))))).
0.00/0.33	tff('23', plain,
0.00/0.33	    ~ pp(
0.00/0.33	        aa(dB, bool, it, 
0.00/0.33	          foldl(dB, dB, app, 
0.00/0.33	            aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), 
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('24', plain,
0.00/0.33	    ~ pp(
0.00/0.33	        aa(dB, bool, it, 
0.00/0.33	          foldl(dB, dB, app, 
0.00/0.33	            aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), 
0.00/0.33	            rotate1(dB, cons(dB, var(i), ss))))),
0.00/0.33	    inference('demod', [status(thm)], ['23', '6'])).
0.00/0.33	tff('25', plain,
0.00/0.33	    (~ $true
0.00/0.34	     | ~ pp(
0.00/0.34	           aa(dB, bool, it, 
0.00/0.34	             foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.34	               rotate1(dB, cons(dB, var(i), ss)))))
0.00/0.34	     | ~ pp(aa(dB, bool, it, s))),
0.00/0.34	    inference('sup-', [status(thm)], ['22', '24'])).
0.00/0.34	tff(conj_2, axiom, (pp(aa(dB,bool,it,s)))).
0.00/0.34	tff('26', plain, pp(aa(dB, bool, it, s)),
0.00/0.34	    inference('cnf', [status(esa)], [conj_2])).
0.00/0.34	tff('27', plain,
0.00/0.34	    (~ $true
0.00/0.34	     | ~ pp(
0.00/0.34	           aa(dB, bool, it, 
0.00/0.34	             foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.34	               rotate1(dB, cons(dB, var(i), ss)))))
0.00/0.34	     | ~ $true),
0.00/0.34	    inference('demod', [status(thm)], ['25', '26'])).
0.00/0.34	tff('28', plain,
0.00/0.34	    ~ pp(
0.00/0.34	        aa(dB, bool, it, 
0.00/0.34	          foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.34	            rotate1(dB, cons(dB, var(i), ss))))),
0.00/0.34	    inference('simplify', [status(thm)], ['27'])).
0.00/0.34	tff('29', plain,
0.00/0.34	    (~ $true
0.00/0.34	     | ~ member(dB, 
0.00/0.34	           foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.34	             rotate1(dB, cons(dB, var(i), ss))), it)),
0.00/0.34	    inference('sup-', [status(thm)], ['21', '28'])).
0.00/0.34	tff('30', plain,
0.00/0.34	    ~ member(dB, 
0.00/0.34	        foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
0.00/0.34	          rotate1(dB, cons(dB, var(i), ss))), it),
0.00/0.34	    inference('simplify', [status(thm)], ['29'])).
0.00/0.34	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['20', '30'])).
0.00/0.34	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
0.00/0.34	
0.00/0.34	% SZS output end Refutation
0.00/0.34	EOF
