TSTP Solution File: COL001-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 00:47:25 EDT 2022
% Result : Unsatisfiable 0.39s 0.80s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.01/0.08 % Command : woody %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Tue May 31 10:40:28 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.39/0.80 ********************************************************************************
% 0.39/0.80 * W A L D M E I S T E R \| \ / \|/ *
% 0.39/0.80 * |/ | \/ | *
% 0.39/0.80 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.39/0.80 * A. Jaeger and B. Loechner | | *
% 0.39/0.80 * <waldmeister@informatik.uni-kl.de> | *
% 0.39/0.80 ********************************************************************************
% 0.39/0.80
% 0.39/0.80
% 0.39/0.80 Goals:
% 0.39/0.80 ------
% 0.39/0.80
% 0.39/0.80 ( 1) true ?= false
% 0.39/0.80 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.39/0.80
% 0.39/0.80 Detected structure: KombinatorlogikB
% 0.39/0.80 ********************************************************************************
% 0.39/0.80 ****************************** COMPLETION - PROOF ******************************
% 0.39/0.80 ********************************************************************************
% 0.39/0.80
% 0.39/0.80 joined goal: 1 x1 ?= apply(combinator,x1) to false
% 0.39/0.80 goal joined
% 0.39/0.80 % SZS status Unsatisfiable
% 0.39/0.80 #START OF PROOF
% 0.39/0.80 % SZS output start CNFRefutation
% 0.39/0.80 cnf('0.2.0.0',axiom,
% 0.39/0.80 ( X1 = apply(i,X1) ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032')).
% 0.39/0.80 cnf('0.2.1.0',plain,
% 0.39/0.80 ( X1 = apply(i,X1) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.39/0.80 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.39/0.80 cnf('0.2.2.0',plain,
% 0.39/0.80 ( apply(i,X1) = X1 ),
% 0.39/0.80 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.39/0.80 [x,rule_2]).
% 0.39/0.80 cnf('0.3.0.0',axiom,
% 0.39/0.80 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032')).
% 0.39/0.80 cnf('0.3.1.0',plain,
% 0.39/0.80 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.39/0.80 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.39/0.80 cnf('0.3.2.0',plain,
% 0.39/0.80 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.39/0.80 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.39/0.80 [x,rule_3]).
% 0.39/0.80 cnf('0.4.0.0',axiom,
% 0.39/0.80 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032')).
% 0.39/0.80 cnf('0.4.1.0',plain,
% 0.39/0.80 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.39/0.80 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.39/0.80 cnf('0.4.2.0',plain,
% 0.39/0.80 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.39/0.80 inference(activate,[status(thm)],['0.4.1.0']),
% 0.39/0.80 [equation_1]).
% 0.39/0.80 cnf('0.6.0.0',axiom,
% 0.39/0.80 ( eq(X1,X1) = true ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032')).
% 0.39/0.80 cnf('0.6.1.0',plain,
% 0.39/0.80 ( eq(X1,X1) = true ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.39/0.80 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.39/0.80 cnf('0.6.2.0',plain,
% 0.39/0.80 ( eq(X1,X1) = true ),
% 0.39/0.80 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.39/0.80 [u,rule_5]).
% 0.39/0.80 cnf('0.7.0.0',axiom,
% 0.39/0.80 ( eq(X1,apply(combinator,X1)) = false ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032')).
% 0.39/0.80 cnf('0.7.1.0',plain,
% 0.39/0.80 ( eq(X1,apply(combinator,X1)) = false ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.39/0.80 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.39/0.80 cnf('0.7.2.0',plain,
% 0.39/0.80 ( eq(X1,apply(combinator,X1)) = false ),
% 0.39/0.80 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.39/0.80 [u,rule_6]).
% 0.39/0.80 cnf('0.13.0.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,X1),i),X2) = apply(apply(X1,X2),X2) ),
% 0.39/0.80 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.39/0.80 [pos('L.2','L')]).
% 0.39/0.80 cnf('0.13.1.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,X1),i),X2) = apply(apply(X1,X2),X2) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.39/0.80 [weight('<12,4,2,[1,0,0,4]>')]).
% 0.39/0.80 cnf('0.13.2.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,X1),i),X2) = apply(apply(X1,X2),X2) ),
% 0.39/0.80 inference(activate,[status(thm)],['0.13.1.0']),
% 0.39/0.80 [equation_4]).
% 0.39/0.80 cnf('0.24.0.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,apply(b,X1)),i),X2) = apply(X1,apply(X2,X2)) ),
% 0.39/0.80 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 0.39/0.80 [pos('R','L')]).
% 0.39/0.80 cnf('0.24.1.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,apply(b,X1)),i),X2) = apply(X1,apply(X2,X2)) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.39/0.80 [weight('<14,13,3,[1,1,0,0]>')]).
% 0.39/0.80 cnf('0.24.2.0',plain,
% 0.39/0.80 ( apply(apply(apply(s,apply(b,X1)),i),X2) = apply(X1,apply(X2,X2)) ),
% 0.39/0.80 inference(activate,[status(thm)],['0.24.1.0']),
% 0.39/0.80 [equation_7]).
% 0.39/0.80 cnf('0.25.0.0',plain,
% 0.39/0.80 ( false = eq(apply(X1,X1),apply(apply(apply(s,apply(b,combinator)),i),X1)) ),
% 0.39/0.80 inference(cp,[status(thm)],['0.7.2.0','0.24.2.0',theory(equality)]),
% 0.39/0.80 [pos('L.2','R')]).
% 0.39/0.80 cnf('0.25.1.0',plain,
% 0.39/0.80 ( false = eq(apply(X1,X1),apply(apply(apply(s,apply(b,combinator)),i),X1)) ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.39/0.80 [weight('<0,24,7,[0,1,0,2]>')]).
% 0.39/0.80 cnf('0.25.2.0',plain,
% 0.39/0.80 ( eq(apply(X1,X1),apply(apply(apply(s,apply(b,combinator)),i),X1)) = false ),
% 0.39/0.80 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.39/0.80 [x,rule_18]).
% 0.39/0.80 cnf('0.26.0.0',plain,
% 0.39/0.80 ( false = true ),
% 0.39/0.80 inference(cp,[status(thm)],['0.25.2.0','0.6.2.0',theory(equality)]),
% 0.39/0.80 [pos('L','L')]).
% 0.39/0.80 cnf('0.26.1.0',plain,
% 0.39/0.80 ( false = true ),
% 0.39/0.80 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.39/0.80 [weight('<2,25,6,[1,0,0,0]>')]).
% 0.39/0.80 cnf('0.26.2.0',plain,
% 0.39/0.80 ( true = false ),
% 0.39/0.80 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.39/0.80 [x,rule_19]).
% 0.39/0.80 cnf('1.0.0.0',conjecture,
% 0.39/0.80 ( true = false ),
% 0.39/0.80 file('/tmp/WALDMEISTER_11791_n032',conjecture_1)).
% 0.39/0.80 cnf('1.0.0.1',plain,
% 0.39/0.80 ( false = false ),
% 0.39/0.80 inference(reduction,[status(thm)],['1.0.0.0','0.26.2.0',theory(equality)]),
% 0.39/0.80 [pos('L','L')]).
% 0.39/0.80 cnf('1.0.0.2',plain,
% 0.39/0.80 ( $true ),
% 0.39/0.80 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.39/0.80 [conjecture_1]).
% 0.39/0.80
% 0.39/0.80 Proved Goals:
% 0.39/0.80 No. 1: true ?= false, current false ?= false
% 0.39/0.80 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.39/0.80
% 0.39/0.80 1 goal was specified, which was proved.
% 0.39/0.80 % SZS output end CNFRefutation
% 0.39/0.80 #END OF PROOF
% 0.39/0.80
% 0.39/0.80 Problem WALDMEISTER_11791_n032
% 0.39/0.80 CPs.gen 371
% 0.39/0.80 CPs.reexp 0
% 0.39/0.80 Select 29
% 0.39/0.80 R 19
% 0.39/0.80 E 7
% 0.39/0.80 vsize 6.5M
% 0.39/0.80 rss 3.7M
% 0.39/0.80 process.time 0.003s
% 0.39/0.80 wallclock.time 0.004s
% 0.39/0.80 status S
% 0.39/0.80
% 0.39/0.80
% 0.39/0.80 Waldmeister states: Goal proved.
% 0.39/0.80 % SZS status Unsatisfiable
% 0.39/0.80
% 0.39/0.80 Problem WALDMEISTER_11791_n032
% 0.39/0.80 CPs.gen 0
% 0.39/0.80 CPs.reexp 0
% 0.39/0.80 Select 0
% 0.39/0.80 R 0
% 0.39/0.80 E 0
% 0.39/0.80 vsize 6.0M
% 0.39/0.80 rss 3.2M
% 0.39/0.80 process.time 0.001s
% 0.39/0.80 wallclock.time 0.003s
% 0.39/0.81 status S
%------------------------------------------------------------------------------