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    : 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	  --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   : n104.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 06:48:24 CST 2018
19.82/20.02	% done 3653 iterations in 19.823s
19.82/20.02	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
19.82/20.02	% SZS output start Refutation
19.82/20.02	tff(conj_1, axiom,
19.82/20.02	  (pp(aa(dB,bool,it,
19.82/20.02	         aa(dB,dB,
19.82/20.02	            aa(dB,fun(dB,dB),app,
19.82/20.02	               foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),
19.82/20.02	            var(i)))))).
19.82/20.02	tff('0', plain,
19.82/20.02	    pp(
19.82/20.02	      aa(dB, bool, it, 
19.82/20.02	        aa(dB, dB, 
19.82/20.02	          aa(dB, fun(dB, dB), app, 
19.82/20.02	            foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)))),
19.82/20.02	    inference('cnf', [status(esa)], [conj_1])).
19.82/20.02	tff(fact_10_app__last, axiom,
19.82/20.02	  (![U2:dB,Ts:list(dB),Ta:dB]:
19.82/20.02	     (aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,Ta,Ts)),U2) =
19.82/20.02	      foldl(dB,dB,app,Ta,append(dB,Ts,cons(dB,U2,nil(dB))))))).
19.82/20.02	tff('1', plain,
19.82/20.02	    ![X41 : dB, X42 : list(dB), X43 : dB]:
19.82/20.02	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X41, X42)), X43)
19.82/20.02	       = foldl(dB, dB, app, X41, append(dB, X42, cons(dB, X43, nil(dB)))),
19.82/20.02	    inference('cnf', [status(esa)], [fact_10_app__last])).
19.82/20.02	tff(fact_2_Beta, axiom,
19.82/20.02	  (![Ss1:list(dB),S:dB,R:dB]:
19.82/20.02	     (pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R,S,zero_zero(nat)),Ss1))) =>
19.82/20.02	      (pp(aa(dB,bool,it,S)) =>
19.82/20.02	       pp(aa(dB,bool,it,
19.82/20.02	             foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R)),S),Ss1))))))).
19.82/20.02	tff('2', plain,
19.82/20.02	    ![X4 : dB, X5 : dB, X6 : list(dB)]:
19.82/20.02	      (~ pp(aa(dB, bool, it, X4))
19.82/20.02	       | ~ pp(
19.82/20.02	             aa(dB, bool, it, 
19.82/20.02	               foldl(dB, dB, app, subst(X5, X4, zero_zero(nat)), X6)))
19.82/20.02	       | pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             foldl(dB, dB, app, 
19.82/20.02	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X5)), X4), X6)))),
19.82/20.02	    inference('cnf', [status(esa)], [fact_2_Beta])).
19.82/20.02	tff('3', plain,
19.82/20.02	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
19.82/20.02	      (~ pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             aa(dB, dB, 
19.82/20.02	               aa(dB, fun(dB, dB), app, 
19.82/20.02	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
19.82/20.02	       | pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             foldl(dB, dB, app, 
19.82/20.02	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X3)), X2), 
19.82/20.02	               append(dB, X1, cons(dB, X0, nil(dB))))))
19.82/20.02	       | ~ pp(aa(dB, bool, it, X2))),
19.82/20.02	    inference('sup-', [status(thm)], ['1', '2'])).
19.82/20.02	tff('4', plain,
19.82/20.02	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
19.82/20.02	      (~ pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             aa(dB, dB, 
19.82/20.02	               aa(dB, fun(dB, dB), app, 
19.82/20.02	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
19.82/20.02	       | pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             aa(dB, dB, 
19.82/20.02	               aa(dB, fun(dB, dB), app, 
19.82/20.02	                 foldl(dB, dB, app, 
19.82/20.02	                   aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X3)), X2), X1)), 
19.82/20.02	               X0)))
19.82/20.02	       | ~ pp(aa(dB, bool, it, X2))),
19.82/20.02	    inference('demod', [status(thm)], ['3', '1'])).
19.82/20.02	tff(fact_39_foldl__Cons, axiom,
19.82/20.02	  (![A1:$tType,B:$tType,Xs1:list(B),X1:B,A:A1,F:fun(A1,fun(B,A1))]:
19.82/20.02	     (foldl(A1,B,F,A,cons(B,X1,Xs1)) =
19.82/20.02	      foldl(A1,B,F,aa(B,A1,aa(A1,fun(B,A1),F,A),X1),Xs1)))).
19.82/20.02	tff('5', plain,
19.82/20.02	    ![X157 : $tType, X158 : $tType, X159 : fun(X157, fun(X158, X157)), 
19.82/20.02	      X160 : X157, X161 : X158, X162 : list(X158)]:
19.82/20.02	      foldl(X157, X158, X159, X160, cons(X158, X161, X162))
19.82/20.02	       = foldl(X157, X158, X159, 
19.82/20.02	           aa(X158, X157, aa(X157, fun(X158, X157), X159, X160), X161), X162),
19.82/20.02	    inference('cnf', [status(esa)], [fact_39_foldl__Cons])).
19.82/20.02	tff(fact_40_foldl__Nil, axiom,
19.82/20.02	  (![B:$tType,A1:$tType,A:A1,F:fun(A1,fun(B,A1))]:
19.82/20.02	     (foldl(A1,B,F,A,nil(B)) = A))).
19.82/20.02	tff('6', plain,
19.82/20.02	    ![X163 : $tType, X164 : X163, X165 : $tType, 
19.82/20.02	      X166 : fun(X163, fun(X165, X163))]:
19.82/20.02	      foldl(X163, X165, X166, X164, nil(X165)) = X164,
19.82/20.02	    inference('cnf', [status(esa)], [fact_40_foldl__Nil])).
19.82/20.02	tff('7', plain,
19.82/20.02	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X0, X4 : fun(X0, fun(X1, X0))]:
19.82/20.02	      foldl(X0, X1, X4, X3, cons(X1, X2, nil(X1)))
19.82/20.02	       = aa(X1, X0, aa(X0, fun(X1, X0), X4, X3), X2),
19.82/20.02	    inference('sup+', [status(thm)], ['5', '6'])).
19.82/20.02	tff(fact_28_foldl__append, axiom,
19.82/20.02	  (![A1:$tType,B:$tType,Ys2:list(B),Xs1:list(B),A:A1,F:fun(A1,fun(B,A1))]:
19.82/20.02	     (foldl(A1,B,F,A,append(B,Xs1,Ys2)) =
19.82/20.02	      foldl(A1,B,F,foldl(A1,B,F,A,Xs1),Ys2)))).
19.82/20.02	tff('8', plain,
19.82/20.02	    ![X112 : $tType, X113 : $tType, X114 : fun(X112, fun(X113, X112)), 
19.82/20.02	      X115 : X112, X116 : list(X113), X117 : list(X113)]:
19.82/20.02	      foldl(X112, X113, X114, X115, append(X113, X116, X117))
19.82/20.02	       = foldl(X112, X113, X114, foldl(X112, X113, X114, X115, X116), X117),
19.82/20.02	    inference('cnf', [status(esa)], [fact_28_foldl__append])).
19.82/20.02	tff('9', plain,
19.82/20.02	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X0, X4 : fun(X0, fun(X1, X0)), 
19.82/20.02	      X5 : list(X1)]:
19.82/20.02	      foldl(X0, X1, X4, X3, append(X1, cons(X1, X2, nil(X1)), X5))
19.82/20.02	       = foldl(X0, X1, X4, aa(X1, X0, aa(X0, fun(X1, X0), X4, X3), X2), X5),
19.82/20.02	    inference('sup+', [status(thm)], ['7', '8'])).
19.82/20.02	tff('10', plain,
19.82/20.02	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
19.82/20.02	      (~ pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             aa(dB, dB, 
19.82/20.02	               aa(dB, fun(dB, dB), app, 
19.82/20.02	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
19.82/20.02	       | pp(
19.82/20.02	           aa(dB, bool, it, 
19.82/20.02	             aa(dB, dB, 
19.82/20.02	               aa(dB, fun(dB, dB), app, 
19.82/20.02	                 foldl(dB, dB, app, abs(X3), 
19.82/20.02	                   append(dB, cons(dB, X2, nil(dB)), X1))), X0)))
19.82/20.02	       | ~ pp(aa(dB, bool, it, X2))),
19.82/20.02	    inference('demod', [status(thm)], ['4', '9'])).
19.82/20.02	tff('11', plain,
19.82/20.02	    (~ $true
19.82/20.02	     | ~ pp(aa(dB, bool, it, s))
19.82/20.02	     | pp(
19.82/20.02	         aa(dB, bool, it, 
19.82/20.02	           aa(dB, dB, 
19.82/20.02	             aa(dB, fun(dB, dB), app, 
19.82/20.02	               foldl(dB, dB, app, abs(r), 
19.82/20.02	                 append(dB, cons(dB, s, nil(dB)), ss))), var(i))))),
19.82/20.02	    inference('sup-', [status(thm)], ['0', '10'])).
19.82/20.02	tff(conj_2, axiom, (pp(aa(dB,bool,it,s)))).
19.82/20.02	tff('12', plain, pp(aa(dB, bool, it, s)),
19.82/20.02	    inference('cnf', [status(esa)], [conj_2])).
19.82/20.02	tff('13', plain,
19.82/20.02	    (~ $true
19.82/20.02	     | ~ $true
19.82/20.02	     | pp(
19.82/20.02	         aa(dB, bool, it, 
19.82/20.02	           aa(dB, dB, 
19.82/20.02	             aa(dB, fun(dB, dB), app, 
19.82/20.02	               foldl(dB, dB, app, abs(r), 
19.82/20.02	                 append(dB, cons(dB, s, nil(dB)), ss))), var(i))))),
19.82/20.02	    inference('demod', [status(thm)], ['11', '12'])).
19.82/20.02	tff('14', plain,
19.82/20.02	    pp(
19.82/20.02	      aa(dB, bool, it, 
19.82/20.02	        aa(dB, dB, 
19.82/20.02	          aa(dB, fun(dB, dB), app, 
19.82/20.02	            foldl(dB, dB, app, abs(r), append(dB, cons(dB, s, nil(dB)), ss))), 
19.82/20.02	          var(i)))),
19.82/20.02	    inference('simplify', [status(thm)], ['13'])).
19.82/20.02	tff(conj_4, conjecture,
19.82/20.02	  (pp(aa(dB,bool,it,
19.82/20.02	         foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),
19.82/20.02	               append(dB,ss,cons(dB,var(i),nil(dB)))))))).
19.82/20.02	tff(zf_stmt_0, negated_conjecture,
19.82/20.02	  (~
19.82/20.02	    pp(aa(dB,bool,it,
19.82/20.02	          foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),
19.82/20.02	                append(dB,ss,cons(dB,var(i),nil(dB)))))))).
19.82/20.02	tff('15', plain,
19.82/20.02	    ~ pp(
19.82/20.02	        aa(dB, bool, it, 
19.82/20.02	          foldl(dB, dB, app, 
19.82/20.02	            aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), 
19.82/20.02	            append(dB, ss, cons(dB, var(i), nil(dB)))))),
19.82/20.02	    inference('cnf', [status(esa)], [zf_stmt_0])).
19.82/20.02	tff('16', plain,
19.82/20.02	    ~ pp(
19.82/20.02	        aa(dB, bool, it, 
19.82/20.02	          aa(dB, dB, 
19.82/20.02	            aa(dB, fun(dB, dB), app, 
19.82/20.02	              foldl(dB, dB, app, 
19.82/20.02	                aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), ss)), 
19.82/20.02	            var(i)))),
19.82/20.02	    inference('demod', [status(thm)], ['15', '1'])).
19.82/20.02	tff(fact_38_append__Nil, axiom,
19.82/20.02	  (![A1:$tType,Ys:list(A1)]: (append(A1,nil(A1),Ys) = Ys))).
19.82/20.02	tff('17', plain,
19.82/20.02	    ![X155 : $tType, X156 : list(X155)]: append(X155, nil(X155), X156) = X156,
19.82/20.02	    inference('cnf', [status(esa)], [fact_38_append__Nil])).
19.82/20.02	tff('18', plain,
19.82/20.02	    ![X0 : dB, X1 : dB]:
19.82/20.02	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X1, nil(dB))), 
19.82/20.02	        X0)
19.82/20.02	       = foldl(dB, dB, app, X1, cons(dB, X0, nil(dB))),
19.82/20.02	    inference('sup+', [status(thm)], ['17', '1'])).
19.82/20.02	tff('19', plain,
19.82/20.02	    ![X0 : dB, X1 : dB]:
19.82/20.02	      aa(dB, dB, aa(dB, fun(dB, dB), app, X1), X0)
19.82/20.02	       = foldl(dB, dB, app, X1, cons(dB, X0, nil(dB))),
19.82/20.02	    inference('demod', [status(thm)], ['18', '6'])).
19.82/20.02	tff('20', plain,
19.82/20.02	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
19.82/20.02	      foldl(dB, dB, app, X1, append(dB, cons(dB, X0, nil(dB)), X2))
19.82/20.02	       = foldl(dB, dB, app, aa(dB, dB, aa(dB, fun(dB, dB), app, X1), X0), X2),
19.82/20.02	    inference('sup+', [status(thm)], ['19', '8'])).
19.82/20.02	tff('21', plain,
19.82/20.02	    ~ pp(
19.82/20.02	        aa(dB, bool, it, 
19.82/20.02	          aa(dB, dB, 
19.82/20.02	            aa(dB, fun(dB, dB), app, 
19.82/20.02	              foldl(dB, dB, app, abs(r), 
19.82/20.02	                append(dB, cons(dB, s, nil(dB)), ss))), var(i)))),
19.82/20.02	    inference('demod', [status(thm)], ['16', '20'])).
19.82/20.02	tff('22', plain, ~ $true, inference('sup-', [status(thm)], ['14', '21'])).
19.82/20.02	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
19.82/20.02	
19.82/20.02	% SZS output end Refutation
19.82/20.03	EOF
