TSTP Solution File: COL070-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 00:47:41 EDT 2022
% Result : Unsatisfiable 0.66s 1.03s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : woody %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 12:46:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.66/1.02 ********************************************************************************
% 0.66/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.66/1.02 * |/ | \/ | *
% 0.66/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.66/1.02 * A. Jaeger and B. Loechner | | *
% 0.66/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.66/1.02 ********************************************************************************
% 0.66/1.02
% 0.66/1.02
% 0.66/1.02 Goals:
% 0.66/1.02 ------
% 0.66/1.02
% 0.66/1.02 ( 1) true ?= false
% 0.66/1.02 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.66/1.02
% 0.66/1.02 Detected structure: KombinatorlogikB
% 0.66/1.02 ********************************************************************************
% 0.66/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.66/1.02 ********************************************************************************
% 0.66/1.02
% 0.66/1.03 joined goal: 1 x1 ?= apply(combinator,x1) to false
% 0.66/1.03 goal joined
% 0.66/1.03 % SZS status Unsatisfiable
% 0.66/1.03 #START OF PROOF
% 0.66/1.03 % SZS output start CNFRefutation
% 0.66/1.03 cnf('0.1.0.0',axiom,
% 0.66/1.03 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.66/1.03 file('/tmp/WALDMEISTER_29805_n018')).
% 0.66/1.03 cnf('0.1.1.0',plain,
% 0.66/1.03 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.66/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.66/1.03 cnf('0.1.2.0',plain,
% 0.66/1.03 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.66/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.66/1.03 [x,rule_1]).
% 0.66/1.03 cnf('0.2.0.0',axiom,
% 0.66/1.03 ( apply(apply(apply(X1,X2),X2),X3) = apply(apply(apply(n1,X1),X2),X3) ),
% 0.66/1.03 file('/tmp/WALDMEISTER_29805_n018')).
% 0.66/1.03 cnf('0.2.1.0',plain,
% 0.66/1.03 ( apply(apply(apply(X1,X2),X2),X3) = apply(apply(apply(n1,X1),X2),X3) ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.66/1.03 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.66/1.03 cnf('0.2.2.0',plain,
% 0.66/1.03 ( apply(apply(apply(X1,X2),X2),X3) = apply(apply(apply(n1,X1),X2),X3) ),
% 0.66/1.03 inference(activate,[status(thm)],['0.2.1.0']),
% 0.66/1.03 [equation_1]).
% 0.66/1.03 cnf('0.3.0.0',axiom,
% 0.66/1.03 ( eq(X1,X1) = true ),
% 0.66/1.03 file('/tmp/WALDMEISTER_29805_n018')).
% 0.66/1.03 cnf('0.3.1.0',plain,
% 0.66/1.03 ( eq(X1,X1) = true ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.66/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.66/1.03 cnf('0.3.2.0',plain,
% 0.66/1.03 ( eq(X1,X1) = true ),
% 0.66/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.66/1.03 [u,rule_2]).
% 0.66/1.03 cnf('0.4.0.0',axiom,
% 0.66/1.03 ( eq(X1,apply(combinator,X1)) = false ),
% 0.66/1.03 file('/tmp/WALDMEISTER_29805_n018')).
% 0.66/1.03 cnf('0.4.1.0',plain,
% 0.66/1.03 ( eq(X1,apply(combinator,X1)) = false ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.66/1.03 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.66/1.03 cnf('0.4.2.0',plain,
% 0.66/1.03 ( eq(X1,apply(combinator,X1)) = false ),
% 0.66/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.66/1.03 [u,rule_3]).
% 0.66/1.03 cnf('0.8.0.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X2,X2)),X3) ),
% 0.66/1.03 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.03 [pos('L.1','L')]).
% 0.66/1.03 cnf('0.8.1.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X2,X2)),X3) ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.66/1.03 [weight('<16,2,1,[1,0,0,1]>')]).
% 0.66/1.03 cnf('0.8.2.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X2,X2)),X3) ),
% 0.66/1.03 inference(activate,[status(thm)],['0.8.1.0']),
% 0.66/1.03 [equation_4]).
% 0.66/1.03 cnf('0.17.0.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X2,X2),X3)) ),
% 0.66/1.03 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 0.66/1.03 [pos('R','L')]).
% 0.66/1.03 cnf('0.17.1.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X2,X2),X3)) ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.66/1.03 [weight('<18,8,1,[1,1,0,0]>')]).
% 0.66/1.03 cnf('0.17.2.0',plain,
% 0.66/1.03 ( apply(apply(apply(n1,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X2,X2),X3)) ),
% 0.66/1.03 inference(activate,[status(thm)],['0.17.1.0']),
% 0.66/1.03 [equation_11]).
% 0.66/1.03 cnf('0.18.0.0',plain,
% 0.66/1.03 ( false = eq(apply(apply(X1,X1),X2),apply(apply(apply(n1,apply(b,apply(b,combinator))),X1),X2)) ),
% 0.66/1.03 inference(cp,[status(thm)],['0.4.2.0','0.17.2.0',theory(equality)]),
% 0.66/1.03 [pos('L.2','R')]).
% 0.66/1.03 cnf('0.18.1.0',plain,
% 0.66/1.03 ( false = eq(apply(apply(X1,X1),X2),apply(apply(apply(n1,apply(b,apply(b,combinator))),X1),X2)) ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.66/1.03 [weight('<0,17,4,[0,1,0,2]>')]).
% 0.66/1.03 cnf('0.18.2.0',plain,
% 0.66/1.03 ( eq(apply(apply(X1,X1),X2),apply(apply(apply(n1,apply(b,apply(b,combinator))),X1),X2)) = false ),
% 0.66/1.03 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.66/1.03 [x,rule_7]).
% 0.66/1.03 cnf('0.19.0.0',plain,
% 0.66/1.03 ( false = true ),
% 0.66/1.03 inference(cp,[status(thm)],['0.18.2.0','0.3.2.0',theory(equality)]),
% 0.66/1.03 [pos('L','L')]).
% 0.66/1.03 cnf('0.19.1.0',plain,
% 0.66/1.03 ( false = true ),
% 0.66/1.03 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.66/1.03 [weight('<2,18,3,[1,0,0,0]>')]).
% 0.66/1.03 cnf('0.19.2.0',plain,
% 0.66/1.03 ( true = false ),
% 0.66/1.03 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.66/1.03 [x,rule_8]).
% 0.66/1.03 cnf('1.0.0.0',conjecture,
% 0.66/1.03 ( true = false ),
% 0.66/1.03 file('/tmp/WALDMEISTER_29805_n018',conjecture_1)).
% 0.66/1.03 cnf('1.0.0.1',plain,
% 0.66/1.03 ( false = false ),
% 0.66/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.19.2.0',theory(equality)]),
% 0.66/1.03 [pos('L','L')]).
% 0.66/1.03 cnf('1.0.0.2',plain,
% 0.66/1.03 ( $true ),
% 0.66/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.66/1.03 [conjecture_1]).
% 0.66/1.03
% 0.66/1.03 Proved Goals:
% 0.66/1.03 No. 1: true ?= false, current false ?= false
% 0.66/1.03 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.66/1.03
% 0.66/1.03 1 goal was specified, which was proved.
% 0.66/1.03 % SZS output end CNFRefutation
% 0.66/1.03 #END OF PROOF
% 0.66/1.03
% 0.66/1.03 Problem WALDMEISTER_29805_n018
% 0.66/1.03 CPs.gen 650
% 0.66/1.03 CPs.reexp 0
% 0.66/1.03 Select 26
% 0.66/1.03 R 8
% 0.66/1.03 E 11
% 0.66/1.03 vsize 6.4M
% 0.66/1.03 rss 3.6M
% 0.66/1.03 process.time 0.006s
% 0.66/1.03 wallclock.time 0.007s
% 0.66/1.03 status S
% 0.66/1.03
% 0.66/1.03
% 0.66/1.03 Waldmeister states: Goal proved.
% 0.66/1.03 % SZS status Unsatisfiable
% 0.66/1.03
% 0.66/1.03 Problem WALDMEISTER_29805_n018
% 0.66/1.03 CPs.gen 0
% 0.66/1.03 CPs.reexp 0
% 0.66/1.03 Select 0
% 0.66/1.03 R 0
% 0.66/1.03 E 0
% 0.66/1.03 vsize 6.0M
% 0.66/1.03 rss 3.1M
% 0.66/1.03 process.time 0.001s
% 0.66/1.03 wallclock.time 0.006s
% 0.66/1.03 status S
%------------------------------------------------------------------------------