TSTP Solution File: COL035-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:47:32 EDT 2022
% Result : Unsatisfiable 0.58s 0.97s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 09:47:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) true ?= false
% 0.58/0.97 using narrowing to prove x1 ?= apply(const1,x1)
% 0.58/0.97
% 0.58/0.97 Detected structure: KombinatorlogikQ
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97 joined goal: 1 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.58/0.97 goal joined
% 0.58/0.97 % SZS status Unsatisfiable
% 0.58/0.97 #START OF PROOF
% 0.58/0.97 % SZS output start CNFRefutation
% 0.58/0.97 cnf('0.1.0.0',axiom,
% 0.58/0.97 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022')).
% 0.58/0.97 cnf('0.1.1.0',plain,
% 0.58/0.97 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.97 cnf('0.1.2.0',plain,
% 0.58/0.97 ( apply(apply(apply(q,X1),X2),X3) = apply(X2,apply(X1,X3)) ),
% 0.58/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_1]).
% 0.58/0.97 cnf('0.2.0.0',axiom,
% 0.58/0.97 ( apply(X1,apply(X2,X2)) = apply(apply(l,X1),X2) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022')).
% 0.58/0.97 cnf('0.2.1.0',plain,
% 0.58/0.97 ( apply(X1,apply(X2,X2)) = apply(apply(l,X1),X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/0.97 cnf('0.2.2.0',plain,
% 0.58/0.97 ( apply(X1,apply(X2,X2)) = apply(apply(l,X1),X2) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.2.1.0']),
% 0.58/0.97 [equation_1]).
% 0.58/0.97 cnf('0.3.0.0',axiom,
% 0.58/0.97 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022')).
% 0.58/0.97 cnf('0.3.1.0',plain,
% 0.58/0.97 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.97 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/0.97 cnf('0.3.2.0',plain,
% 0.58/0.97 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.3.1.0']),
% 0.58/0.97 [equation_2]).
% 0.58/0.97 cnf('0.4.0.0',axiom,
% 0.58/0.97 ( eq(X1,X1) = true ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022')).
% 0.58/0.97 cnf('0.4.1.0',plain,
% 0.58/0.97 ( eq(X1,X1) = true ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/0.97 cnf('0.4.2.0',plain,
% 0.58/0.97 ( eq(X1,X1) = true ),
% 0.58/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_2]).
% 0.58/0.97 cnf('0.5.0.0',axiom,
% 0.58/0.97 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022')).
% 0.58/0.97 cnf('0.5.1.0',plain,
% 0.58/0.97 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/0.97 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.58/0.97 cnf('0.5.2.0',plain,
% 0.58/0.97 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.58/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.97 [u,rule_3]).
% 0.58/0.97 cnf('0.12.0.0',plain,
% 0.58/0.97 ( apply(apply(w,apply(q,X1)),X2) = apply(X2,apply(X1,X2)) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.12.1.0',plain,
% 0.58/0.97 ( apply(apply(w,apply(q,X1)),X2) = apply(X2,apply(X1,X2)) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.58/0.97 [weight('<12,3,1,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.12.2.0',plain,
% 0.58/0.97 ( apply(apply(w,apply(q,X1)),X2) = apply(X2,apply(X1,X2)) ),
% 0.58/0.97 inference(activate,[status(thm)],['0.12.1.0']),
% 0.58/0.97 [equation_6]).
% 0.58/0.97 cnf('0.13.0.0',plain,
% 0.58/0.97 ( false = eq(apply(X1,f(X1)),apply(apply(w,apply(q,X1)),f(X1))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.5.2.0','0.12.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2','R')]).
% 0.58/0.97 cnf('0.13.1.0',plain,
% 0.58/0.97 ( false = eq(apply(X1,f(X1)),apply(apply(w,apply(q,X1)),f(X1))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/0.97 [weight('<72,12,5,[0,1,0,5]>')]).
% 0.58/0.97 cnf('0.13.2.0',plain,
% 0.58/0.97 ( eq(apply(X1,f(X1)),apply(apply(w,apply(q,X1)),f(X1))) = false ),
% 0.58/0.97 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_7]).
% 0.58/0.97 cnf('0.15.0.0',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(w,apply(apply(l,q),X1)),f(apply(X1,X1)))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.13.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.2.1.2','L')]).
% 0.58/0.97 cnf('0.15.1.0',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(w,apply(apply(l,q),X1)),f(apply(X1,X1)))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.58/0.97 [weight('<60,13,2,[1,0,0,8]>')]).
% 0.58/0.97 cnf('0.15.2.0',plain,
% 0.58/0.97 ( eq(apply(apply(X1,X1),f(apply(X1,X1))),apply(apply(w,apply(apply(l,q),X1)),f(apply(X1,X1)))) = false ),
% 0.58/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_8]).
% 0.58/0.97 cnf('0.17.0.0',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,apply(X2,apply(apply(q,X2),X1))),f(apply(apply(apply(q,X2),X1),apply(apply(q,X2),X1)))),apply(apply(w,apply(apply(l,q),apply(apply(q,X2),X1))),f(apply(apply(apply(q,X2),X1),apply(apply(q,X2),X1))))) ),
% 0.58/0.97 inference(cp,[status(thm)],['0.15.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('L.1.1','L')]).
% 0.58/0.97 cnf('0.17.0.1',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,apply(X2,apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1))))),apply(apply(w,apply(apply(l,q),apply(apply(q,X2),X1))),f(apply(apply(apply(q,X2),X1),apply(apply(q,X2),X1))))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.1.2.1','L')]).
% 0.58/0.97 cnf('0.17.0.2',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,apply(X2,apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1))))),apply(apply(w,apply(apply(l,q),apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1)))))) ),
% 0.58/0.97 inference(reduction,[status(thm)],['0.17.0.1','0.1.2.0',theory(equality)]),
% 0.58/0.97 [pos('R.2.2.1','L')]).
% 0.58/0.97 cnf('0.17.1.0',plain,
% 0.58/0.97 ( false = eq(apply(apply(X1,apply(X2,apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1))))),apply(apply(w,apply(apply(l,q),apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1)))))) ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.17.0.2']),
% 0.58/0.97 [weight('<0,15,1,[1,0,0,2]>')]).
% 0.58/0.97 cnf('0.17.2.0',plain,
% 0.58/0.97 ( eq(apply(apply(X1,apply(X2,apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1))))),apply(apply(w,apply(apply(l,q),apply(apply(q,X2),X1))),f(apply(X1,apply(X2,apply(apply(q,X2),X1)))))) = false ),
% 0.58/0.97 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_9]).
% 0.58/0.97 cnf('0.18.0.0',plain,
% 0.58/0.97 ( false = true ),
% 0.58/0.97 inference(cp,[status(thm)],['0.17.2.0','0.4.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('0.18.1.0',plain,
% 0.58/0.97 ( false = true ),
% 0.58/0.97 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.58/0.97 [weight('<2,17,4,[1,0,0,0]>')]).
% 0.58/0.97 cnf('0.18.2.0',plain,
% 0.58/0.97 ( true = false ),
% 0.58/0.97 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/0.97 [x,rule_10]).
% 0.58/0.97 cnf('1.0.0.0',conjecture,
% 0.58/0.97 ( true = false ),
% 0.58/0.97 file('/tmp/WALDMEISTER_20028_n022',conjecture_1)).
% 0.58/0.97 cnf('1.0.0.1',plain,
% 0.58/0.97 ( false = false ),
% 0.58/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 0.58/0.97 [pos('L','L')]).
% 0.58/0.97 cnf('1.0.0.2',plain,
% 0.58/0.97 ( $true ),
% 0.58/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.97 [conjecture_1]).
% 0.58/0.97
% 0.58/0.97 Proved Goals:
% 0.58/0.97 No. 1: true ?= false, current false ?= false
% 0.58/0.97 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.58/0.97
% 0.58/0.97 1 goal was specified, which was proved.
% 0.58/0.97 % SZS output end CNFRefutation
% 0.58/0.97 #END OF PROOF
% 0.58/0.97
% 0.58/0.97 Problem WALDMEISTER_20028_n022
% 0.58/0.97 CPs.gen 210
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 23
% 0.58/0.97 R 10
% 0.58/0.97 E 8
% 0.58/0.97 vsize 6.5M
% 0.58/0.97 rss 3.7M
% 0.58/0.97 process.time 0.005s
% 0.58/0.97 wallclock.time 0.005s
% 0.58/0.97 status S
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Waldmeister states: Goal proved.
% 0.58/0.97 % SZS status Unsatisfiable
% 0.58/0.97
% 0.58/0.97 Problem WALDMEISTER_20028_n022
% 0.58/0.97 CPs.gen 0
% 0.58/0.97 CPs.reexp 0
% 0.58/0.97 Select 0
% 0.58/0.97 R 0
% 0.58/0.97 E 0
% 0.58/0.97 vsize 6.0M
% 0.58/0.97 rss 3.2M
% 0.58/0.97 process.time 0.001s
% 0.58/0.97 wallclock.time 0.005s
% 0.58/0.97 status S
%------------------------------------------------------------------------------