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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n039.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:48:38 CST 2018
8.24/8.47	% done 2403 iterations in 8.274s
8.24/8.47	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
8.24/8.47	% SZS output start Refutation
8.24/8.47	tff(conj_1, axiom,
8.24/8.47	  (pp(aa(dB,bool,it,
8.24/8.47	         aa(dB,dB,
8.24/8.47	            aa(dB,fun(dB,dB),app,
8.24/8.47	               foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),
8.24/8.47	            var(i)))))).
8.24/8.47	tff('0', plain,
8.24/8.47	    pp(
8.24/8.47	      aa(dB, bool, it, 
8.24/8.47	        aa(dB, dB, 
8.24/8.47	          aa(dB, fun(dB, dB), app, 
8.24/8.47	            foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)))),
8.24/8.47	    inference('cnf', [status(esa)], [conj_1])).
8.24/8.47	tff(fact_94_app__last, axiom,
8.24/8.47	  (![U:dB,Ts:list(dB),Ta:dB]:
8.24/8.47	     (aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,Ta,Ts)),U) =
8.24/8.47	      foldl(dB,dB,app,Ta,append(dB,Ts,cons(dB,U,nil(dB))))))).
8.24/8.47	tff('1', plain,
8.24/8.47	    ![X387 : dB, X388 : list(dB), X389 : dB]:
8.24/8.47	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X387, X388)), 
8.24/8.47	        X389)
8.24/8.47	       = foldl(dB, dB, app, X387, append(dB, X388, cons(dB, X389, nil(dB)))),
8.24/8.47	    inference('cnf', [status(esa)], [fact_94_app__last])).
8.24/8.47	tff(fact_98_rotate__simps, axiom,
8.24/8.47	  (![A:$tType,B:$tType,Xs:list(B),X:B]:
8.24/8.47	     ((rotate1(B,cons(B,X,Xs)) = append(B,Xs,cons(B,X,nil(B)))) & 
8.24/8.47	      (rotate1(A,nil(A)) = nil(A))))).
8.24/8.47	tff('2', plain,
8.24/8.47	    ![X397 : $tType, X398 : list(X397), X399 : X397]:
8.24/8.47	      rotate1(X397, cons(X397, X399, X398))
8.24/8.47	       = append(X397, X398, cons(X397, X399, nil(X397))),
8.24/8.47	    inference('cnf', [status(esa)], [fact_98_rotate__simps])).
8.24/8.47	tff('3', plain,
8.24/8.47	    ![X387 : dB, X388 : list(dB), X389 : dB]:
8.24/8.47	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X387, X388)), 
8.24/8.47	        X389)
8.24/8.47	       = foldl(dB, dB, app, X387, rotate1(dB, cons(dB, X389, X388))),
8.24/8.47	    inference('demod', [status(thm)], ['1', '2'])).
8.24/8.47	tff('4', plain,
8.24/8.47	    pp(
8.24/8.47	      aa(dB, bool, it, 
8.24/8.47	        foldl(dB, dB, app, subst(r, s, zero_zero(nat)), 
8.24/8.47	          rotate1(dB, cons(dB, var(i), ss))))),
8.24/8.47	    inference('demod', [status(thm)], ['0', '3'])).
8.24/8.47	tff(fact_2_Beta, axiom,
8.24/8.47	  (![Ss2:list(dB),S:dB,R:dB]:
8.24/8.47	     (pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R,S,zero_zero(nat)),Ss2))) =>
8.24/8.47	      (pp(aa(dB,bool,it,S)) =>
8.24/8.47	       pp(aa(dB,bool,it,
8.24/8.47	             foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R)),S),Ss2))))))).
8.24/8.47	tff('5', plain,
8.24/8.47	    ![X4 : dB, X5 : dB, X6 : list(dB)]:
8.24/8.47	      (~ pp(aa(dB, bool, it, X4))
8.24/8.47	       | ~ pp(
8.24/8.47	             aa(dB, bool, it, 
8.24/8.47	               foldl(dB, dB, app, subst(X5, X4, zero_zero(nat)), X6)))
8.24/8.47	       | pp(
8.24/8.47	           aa(dB, bool, it, 
8.24/8.47	             foldl(dB, dB, app, 
8.24/8.47	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X5)), X4), X6)))),
8.24/8.47	    inference('cnf', [status(esa)], [fact_2_Beta])).
8.24/8.47	tff(fact_75_mem__def, axiom,
8.24/8.47	  (![A:$tType,A1:fun(A,bool),X2:A]:
8.24/8.47	     (member(A,X2,A1) <=> pp(aa(A,bool,A1,X2))))).
8.24/8.47	tff('6', plain,
8.24/8.47	    ![X289 : $tType, X290 : fun(X289, bool), X292 : X289]:
8.24/8.47	      (member(X289, X292, X290) | ~ pp(aa(X289, bool, X290, X292))),
8.24/8.47	    inference('cnf', [status(esa)], [fact_75_mem__def])).
8.24/8.47	tff('7', plain,
8.24/8.47	    ![X0 : list(dB), X1 : dB, X2 : dB]:
8.24/8.47	      (~ $true
8.24/8.47	       | ~ pp(
8.24/8.47	             aa(dB, bool, it, 
8.24/8.47	               foldl(dB, dB, app, subst(X2, X1, zero_zero(nat)), X0)))
8.24/8.47	       | ~ pp(aa(dB, bool, it, X1))
8.24/8.47	       | member(dB, 
8.24/8.47	           foldl(dB, dB, app, 
8.24/8.47	             aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X2)), X1), X0), it)),
8.24/8.47	    inference('sup-', [status(thm)], ['5', '6'])).
8.24/8.47	tff('8', plain,
8.24/8.47	    ![X0 : list(dB), X1 : dB, X2 : dB]:
8.24/8.47	      (member(dB, 
8.24/8.47	         foldl(dB, dB, app, 
8.24/8.47	           aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X2)), X1), X0), it)
8.24/8.47	       | ~ pp(aa(dB, bool, it, X1))
8.24/8.47	       | ~ pp(
8.24/8.47	             aa(dB, bool, it, 
8.24/8.47	               foldl(dB, dB, app, subst(X2, X1, zero_zero(nat)), X0)))),
8.24/8.47	    inference('simplify', [status(thm)], ['7'])).
8.24/8.47	tff(fact_58_foldl__Cons, axiom,
8.24/8.47	  (![A:$tType,B:$tType,Xs1:list(B),X2:B,A2:A,F:fun(A,fun(B,A))]:
8.24/8.47	     (foldl(A,B,F,A2,cons(B,X2,Xs1)) =
8.24/8.47	      foldl(A,B,F,aa(B,A,aa(A,fun(B,A),F,A2),X2),Xs1)))).
8.24/8.47	tff('9', plain,
8.24/8.47	    ![X210 : $tType, X211 : $tType, X212 : fun(X210, fun(X211, X210)), 
8.24/8.47	      X213 : X210, X214 : X211, X215 : list(X211)]:
8.24/8.47	      foldl(X210, X211, X212, X213, cons(X211, X214, X215))
8.24/8.47	       = foldl(X210, X211, X212, 
8.24/8.47	           aa(X211, X210, aa(X210, fun(X211, X210), X212, X213), X214), X215),
8.24/8.47	    inference('cnf', [status(esa)], [fact_58_foldl__Cons])).
8.24/8.47	tff(fact_41_foldl__Nil, axiom,
8.24/8.47	  (![B:$tType,A:$tType,A2:A,F:fun(A,fun(B,A))]: (foldl(A,B,F,A2,nil(B)) = A2))).
8.24/8.47	tff('10', plain,
8.24/8.47	    ![X138 : $tType, X139 : X138, X140 : $tType, 
8.24/8.47	      X141 : fun(X138, fun(X140, X138))]:
8.24/8.47	      foldl(X138, X140, X141, X139, nil(X140)) = X139,
8.24/8.47	    inference('cnf', [status(esa)], [fact_41_foldl__Nil])).
8.24/8.47	tff('11', plain,
8.24/8.47	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X0, X4 : fun(X0, fun(X1, X0))]:
8.24/8.47	      foldl(X0, X1, X4, X3, cons(X1, X2, nil(X1)))
8.24/8.47	       = aa(X1, X0, aa(X0, fun(X1, X0), X4, X3), X2),
8.24/8.47	    inference('sup+', [status(thm)], ['9', '10'])).
8.24/8.47	tff(fact_80_foldl__append, axiom,
8.24/8.47	  (![A:$tType,B:$tType,Ys1:list(B),Xs1:list(B),A2:A,F:fun(A,fun(B,A))]:
8.24/8.47	     (foldl(A,B,F,A2,append(B,Xs1,Ys1)) =
8.24/8.47	      foldl(A,B,F,foldl(A,B,F,A2,Xs1),Ys1)))).
8.24/8.47	tff('12', plain,
8.24/8.47	    ![X309 : $tType, X310 : $tType, X311 : fun(X309, fun(X310, X309)), 
8.24/8.47	      X312 : X309, X313 : list(X310), X314 : list(X310)]:
8.24/8.47	      foldl(X309, X310, X311, X312, append(X310, X313, X314))
8.24/8.47	       = foldl(X309, X310, X311, foldl(X309, X310, X311, X312, X313), X314),
8.24/8.47	    inference('cnf', [status(esa)], [fact_80_foldl__append])).
8.24/8.47	tff(fact_87_append__Nil, axiom,
8.24/8.47	  (![A:$tType,Ys3:list(A)]: (append(A,nil(A),Ys3) = Ys3))).
8.24/8.47	tff('13', plain,
8.24/8.47	    ![X348 : $tType, X349 : list(X348)]: append(X348, nil(X348), X349) = X349,
8.24/8.47	    inference('cnf', [status(esa)], [fact_87_append__Nil])).
8.24/8.47	tff(fact_71_append__Cons, axiom,
8.24/8.47	  (![A:$tType,Ys3:list(A),Xs:list(A),X:A]:
8.24/8.47	     (append(A,cons(A,X,Xs),Ys3) = cons(A,X,append(A,Xs,Ys3))))).
8.24/8.47	tff('14', plain,
8.24/8.47	    ![X273 : $tType, X274 : X273, X275 : list(X273), X276 : list(X273)]:
8.24/8.47	      append(X273, cons(X273, X274, X275), X276)
8.24/8.47	       = cons(X273, X274, append(X273, X275, X276)),
8.24/8.47	    inference('cnf', [status(esa)], [fact_71_append__Cons])).
8.24/8.47	tff('15', plain,
8.24/8.47	    ![X0 : $tType, X1 : list(X0), X2 : X0]:
8.24/8.47	      append(X0, cons(X0, X2, nil(X0)), X1) = cons(X0, X2, X1),
8.24/8.47	    inference('sup+', [status(thm)], ['13', '14'])).
8.24/8.47	tff('16', plain,
8.24/8.47	    ![X0 : list(dB), X1 : dB, X2 : dB]:
8.24/8.47	      (member(dB, foldl(dB, dB, app, abs(X2), cons(dB, X1, X0)), it)
8.24/8.47	       | ~ pp(aa(dB, bool, it, X1))
8.24/8.47	       | ~ pp(
8.24/8.47	             aa(dB, bool, it, 
8.24/8.47	               foldl(dB, dB, app, subst(X2, X1, zero_zero(nat)), X0)))),
8.24/8.47	    inference('demod', [status(thm)], ['8', '11', '12', '15'])).
8.24/8.47	tff('17', plain,
8.24/8.47	    (~ $true
8.24/8.47	     | ~ pp(aa(dB, bool, it, s))
8.24/8.47	     | member(dB, 
8.24/8.47	         foldl(dB, dB, app, abs(r), 
8.24/8.47	           cons(dB, s, rotate1(dB, cons(dB, var(i), ss)))), it)),
8.24/8.47	    inference('sup-', [status(thm)], ['4', '16'])).
8.24/8.47	tff(conj_2, axiom, (pp(aa(dB,bool,it,s)))).
8.24/8.47	tff('18', plain, pp(aa(dB, bool, it, s)),
8.24/8.47	    inference('cnf', [status(esa)], [conj_2])).
8.24/8.47	tff('19', plain,
8.24/8.47	    (~ $true
8.24/8.47	     | ~ $true
8.24/8.47	     | member(dB, 
8.24/8.47	         foldl(dB, dB, app, abs(r), 
8.24/8.47	           cons(dB, s, rotate1(dB, cons(dB, var(i), ss)))), it)),
8.24/8.47	    inference('demod', [status(thm)], ['17', '18'])).
8.24/8.47	tff('20', plain,
8.24/8.47	    member(dB, 
8.24/8.47	      foldl(dB, dB, app, abs(r), 
8.24/8.47	        cons(dB, s, rotate1(dB, cons(dB, var(i), ss)))), it),
8.24/8.47	    inference('simplify', [status(thm)], ['19'])).
8.24/8.47	tff('21', plain,
8.24/8.47	    ![X289 : $tType, X290 : fun(X289, bool), X291 : X289]:
8.24/8.47	      (pp(aa(X289, bool, X290, X291)) | ~ member(X289, X291, X290)),
8.24/8.47	    inference('cnf', [status(esa)], [fact_75_mem__def])).
8.24/8.47	tff(conj_4, conjecture,
8.24/8.47	  (pp(aa(dB,bool,it,
8.24/8.47	         aa(dB,dB,
8.24/8.47	            aa(dB,fun(dB,dB),app,
8.24/8.47	               foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),ss)),
8.24/8.47	            var(i)))))).
8.24/8.47	tff(zf_stmt_0, negated_conjecture,
8.24/8.47	  (~
8.24/8.47	    pp(aa(dB,bool,it,
8.24/8.47	          aa(dB,dB,
8.24/8.47	             aa(dB,fun(dB,dB),app,
8.24/8.47	                foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),ss)),
8.24/8.47	             var(i)))))).
8.24/8.47	tff('22', plain,
8.24/8.47	    ~ pp(
8.24/8.47	        aa(dB, bool, it, 
8.24/8.47	          aa(dB, dB, 
8.24/8.47	            aa(dB, fun(dB, dB), app, 
8.24/8.47	              foldl(dB, dB, app, 
8.24/8.47	                aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), ss)), 
8.24/8.47	            var(i)))),
8.24/8.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.24/8.47	tff('23', plain,
8.24/8.47	    (~ $true
8.24/8.47	     | ~ member(dB, 
8.24/8.47	           aa(dB, dB, 
8.24/8.47	             aa(dB, fun(dB, dB), app, 
8.24/8.47	               foldl(dB, dB, app, 
8.24/8.47	                 aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), ss)), 
8.24/8.47	             var(i)), it)),
8.24/8.47	    inference('sup-', [status(thm)], ['21', '22'])).
8.24/8.47	tff('24', plain,
8.24/8.47	    ~ member(dB, 
8.24/8.47	        aa(dB, dB, 
8.24/8.47	          aa(dB, fun(dB, dB), app, 
8.24/8.47	            foldl(dB, dB, app, 
8.24/8.47	              aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), ss)), 
8.24/8.47	          var(i)), it),
8.24/8.47	    inference('simplify', [status(thm)], ['23'])).
8.24/8.47	tff('25', plain,
8.24/8.47	    ~ member(dB, 
8.24/8.47	        foldl(dB, dB, app, aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), 
8.24/8.47	          rotate1(dB, cons(dB, var(i), ss))), it),
8.24/8.47	    inference('demod', [status(thm)], ['24', '3'])).
8.24/8.47	tff('26', plain,
8.24/8.47	    ![X0 : dB, X1 : dB]:
8.24/8.47	      aa(dB, dB, aa(dB, fun(dB, dB), app, X0), X1)
8.24/8.47	       = foldl(dB, dB, app, X0, rotate1(dB, cons(dB, X1, nil(dB)))),
8.24/8.47	    inference('sup+', [status(thm)], ['10', '3'])).
8.24/8.47	tff('27', plain,
8.24/8.47	    ![X0 : $tType, X1 : X0]:
8.24/8.47	      rotate1(X0, cons(X0, X1, nil(X0))) = cons(X0, X1, nil(X0)),
8.24/8.47	    inference('sup+', [status(thm)], ['2', '13'])).
8.24/8.47	tff('28', plain,
8.24/8.47	    ![X0 : dB, X1 : dB]:
8.24/8.47	      aa(dB, dB, aa(dB, fun(dB, dB), app, X0), X1)
8.24/8.47	       = foldl(dB, dB, app, X0, cons(dB, X1, nil(dB))),
8.24/8.47	    inference('demod', [status(thm)], ['26', '27'])).
8.24/8.47	tff('29', plain,
8.24/8.47	    ~ member(dB, 
8.24/8.47	        foldl(dB, dB, app, foldl(dB, dB, app, abs(r), cons(dB, s, nil(dB))), 
8.24/8.47	          rotate1(dB, cons(dB, var(i), ss))), it),
8.24/8.47	    inference('demod', [status(thm)], ['25', '28'])).
8.24/8.47	tff('30', plain,
8.24/8.47	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
8.24/8.47	      foldl(dB, dB, app, X1, cons(dB, X0, X2))
8.24/8.47	       = foldl(dB, dB, app, foldl(dB, dB, app, X1, cons(dB, X0, nil(dB))), 
8.24/8.47	           X2),
8.24/8.47	    inference('sup+', [status(thm)], ['28', '9'])).
8.24/8.47	tff('31', plain,
8.24/8.47	    ~ member(dB, 
8.24/8.47	        foldl(dB, dB, app, abs(r), 
8.24/8.47	          cons(dB, s, rotate1(dB, cons(dB, var(i), ss)))), it),
8.24/8.47	    inference('demod', [status(thm)], ['29', '30'])).
8.24/8.47	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['20', '31'])).
8.24/8.47	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
8.24/8.47	
8.24/8.47	% SZS output end Refutation
8.24/8.48	EOF
