TSTP Solution File: COL026-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:47:31 EDT 2022
% Result : Unsatisfiable 0.62s 1.04s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n018.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 13:25:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) true ?= false
% 0.59/0.98 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.59/0.98
% 0.59/0.98 Detected structure: KombinatorlogikB
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.62/1.04 joined goal: 1 x1 ?= apply(combinator,x1) to false
% 0.62/1.04 goal joined
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04 #START OF PROOF
% 0.62/1.04 % SZS output start CNFRefutation
% 0.62/1.04 cnf('0.1.0.0',axiom,
% 0.62/1.04 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15098_n018')).
% 0.62/1.04 cnf('0.1.1.0',plain,
% 0.62/1.04 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.1.2.0',plain,
% 0.62/1.04 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_1]).
% 0.62/1.04 cnf('0.2.0.0',axiom,
% 0.62/1.04 ( apply(apply(X1,X2),X2) = apply(apply(w1,X2),X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15098_n018')).
% 0.62/1.04 cnf('0.2.1.0',plain,
% 0.62/1.04 ( apply(apply(X1,X2),X2) = apply(apply(w1,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( apply(apply(X1,X2),X2) = apply(apply(w1,X2),X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.2.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.3.0.0',axiom,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15098_n018')).
% 0.62/1.04 cnf('0.3.1.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.04 cnf('0.3.2.0',plain,
% 0.62/1.04 ( eq(X1,X1) = true ),
% 0.62/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_2]).
% 0.62/1.04 cnf('0.4.0.0',axiom,
% 0.62/1.04 ( eq(X1,apply(combinator,X1)) = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15098_n018')).
% 0.62/1.04 cnf('0.4.1.0',plain,
% 0.62/1.04 ( eq(X1,apply(combinator,X1)) = false ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.4.2.0',plain,
% 0.62/1.04 ( eq(X1,apply(combinator,X1)) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_3]).
% 0.62/1.04 cnf('0.21.0.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.21.1.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.62/1.04 [weight('<16,2,1,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.21.2.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.21.1.0']),
% 0.62/1.04 [equation_7]).
% 0.62/1.04 cnf('0.87.0.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,apply(b,X2)),X3)) = apply(X2,apply(apply(X3,X1),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.21.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.87.1.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,apply(b,X2)),X3)) = apply(X2,apply(apply(X3,X1),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.87.0.0']),
% 0.62/1.04 [weight('<18,21,1,[1,1,0,0]>')]).
% 0.62/1.04 cnf('0.87.2.0',plain,
% 0.62/1.04 ( apply(apply(w1,X1),apply(apply(b,apply(b,X2)),X3)) = apply(X2,apply(apply(X3,X1),X1)) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.87.1.0']),
% 0.62/1.04 [equation_27]).
% 0.62/1.04 cnf('0.88.0.0',plain,
% 0.62/1.04 ( false = eq(apply(apply(X1,X2),X2),apply(apply(w1,X2),apply(apply(b,apply(b,combinator)),X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.4.2.0','0.87.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','R')]).
% 0.62/1.04 cnf('0.88.1.0',plain,
% 0.62/1.04 ( false = eq(apply(apply(X1,X2),X2),apply(apply(w1,X2),apply(apply(b,apply(b,combinator)),X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.88.0.0']),
% 0.62/1.04 [weight('<0,87,4,[0,1,0,2]>')]).
% 0.62/1.04 cnf('0.88.2.0',plain,
% 0.62/1.04 ( eq(apply(apply(X1,X2),X2),apply(apply(w1,X2),apply(apply(b,apply(b,combinator)),X1))) = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_61]).
% 0.62/1.04 cnf('0.89.0.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(cp,[status(thm)],['0.88.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.89.1.0',plain,
% 0.62/1.04 ( false = true ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.89.0.0']),
% 0.62/1.04 [weight('<2,88,3,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.89.2.0',plain,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_62]).
% 0.62/1.04 cnf('1.0.0.0',conjecture,
% 0.62/1.04 ( true = false ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15098_n018',conjecture_1)).
% 0.62/1.04 cnf('1.0.0.1',plain,
% 0.62/1.04 ( false = false ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.89.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('1.0.0.2',plain,
% 0.62/1.04 ( $true ),
% 0.62/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.04 [conjecture_1]).
% 0.62/1.04
% 0.62/1.04 Proved Goals:
% 0.62/1.04 No. 1: true ?= false, current false ?= false
% 0.62/1.04 using narrowing to prove x1 ?= apply(combinator,x1)
% 0.62/1.04
% 0.62/1.04 1 goal was specified, which was proved.
% 0.62/1.04 % SZS output end CNFRefutation
% 0.62/1.04 #END OF PROOF
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_15098_n018
% 0.62/1.04 CPs.gen 5779
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 184
% 0.62/1.04 R 62
% 0.62/1.04 E 27
% 0.62/1.04 vsize 6.4M
% 0.62/1.04 rss 3.6M
% 0.62/1.04 process.time 0.057s
% 0.62/1.04 wallclock.time 0.058s
% 0.62/1.04 status S
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Waldmeister states: Goal proved.
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_15098_n018
% 0.62/1.04 CPs.gen 0
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 0
% 0.62/1.04 R 0
% 0.62/1.04 E 0
% 0.62/1.04 vsize 6.0M
% 0.62/1.04 rss 3.1M
% 0.62/1.04 process.time 0.001s
% 0.62/1.04 wallclock.time 0.057s
% 0.62/1.04 status S
%------------------------------------------------------------------------------