TSTP Solution File: BOO013-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 14 23:52:50 EDT 2022
% Result : Unsatisfiable 0.47s 0.84s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.10 % Command : woody %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 1 15:09:59 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.47/0.84 ********************************************************************************
% 0.47/0.84 * W A L D M E I S T E R \| \ / \|/ *
% 0.47/0.84 * |/ | \/ | *
% 0.47/0.84 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.47/0.84 * A. Jaeger and B. Loechner | | *
% 0.47/0.84 * <waldmeister@informatik.uni-kl.de> | *
% 0.47/0.84 ********************************************************************************
% 0.47/0.84
% 0.47/0.84
% 0.47/0.84 Goals:
% 0.47/0.84 ------
% 0.47/0.84
% 0.47/0.84 ( 1) b ?=? c
% 0.47/0.84
% 0.47/0.84 Detected structure: BoolescheAlgebra
% 0.47/0.84 ********************************************************************************
% 0.47/0.84 ****************************** COMPLETION - PROOF ******************************
% 0.47/0.84 ********************************************************************************
% 0.47/0.84
% 0.47/0.84 joined goal: 1 b ?= c to c
% 0.47/0.84 goal joined
% 0.47/0.84 % SZS status Unsatisfiable
% 0.47/0.84 #START OF PROOF
% 0.47/0.84 % SZS output start CNFRefutation
% 0.47/0.84 cnf('0.1.0.0',axiom,
% 0.47/0.84 ( X1 = add(X1,additive_identity) ),
% 0.47/0.84 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.84 cnf('0.1.1.0',plain,
% 0.47/0.84 ( X1 = add(X1,additive_identity) ),
% 0.47/0.84 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.47/0.84 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.47/0.84 cnf('0.1.2.0',plain,
% 0.47/0.84 ( add(X1,additive_identity) = X1 ),
% 0.47/0.84 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.47/0.84 [x,rule_1]).
% 0.47/0.84 cnf('0.3.0.0',axiom,
% 0.47/0.84 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.47/0.84 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.84 cnf('0.3.1.0',plain,
% 0.47/0.84 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.47/0.84 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.47/0.84 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.47/0.84 cnf('0.3.2.0',plain,
% 0.47/0.84 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.47/0.84 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.47/0.84 [x,rule_3]).
% 0.47/0.84 cnf('0.5.0.0',axiom,
% 0.47/0.85 ( add(X1,X2) = add(X2,X1) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.5.1.0',plain,
% 0.47/0.85 ( add(X1,X2) = add(X2,X1) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.47/0.85 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.47/0.85 cnf('0.5.2.0',plain,
% 0.47/0.85 ( add(X1,X2) = add(X2,X1) ),
% 0.47/0.85 inference(activate,[status(thm)],['0.5.1.0']),
% 0.47/0.85 [equation_1]).
% 0.47/0.85 cnf('0.6.0.0',axiom,
% 0.47/0.85 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.6.1.0',plain,
% 0.47/0.85 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.47/0.85 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.47/0.85 cnf('0.6.2.0',plain,
% 0.47/0.85 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.47/0.85 [x,rule_5]).
% 0.47/0.85 cnf('0.9.0.0',axiom,
% 0.47/0.85 ( add(a,b) = multiplicative_identity ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.9.1.0',plain,
% 0.47/0.85 ( add(a,b) = multiplicative_identity ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.47/0.85 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.47/0.85 cnf('0.9.1.1',plain,
% 0.47/0.85 ( add(b,a) = multiplicative_identity ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.9.1.0','0.5.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.9.2.0',plain,
% 0.47/0.85 ( add(b,a) = multiplicative_identity ),
% 0.47/0.85 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 0.47/0.85 [u,rule_8]).
% 0.47/0.85 cnf('0.10.0.0',axiom,
% 0.47/0.85 ( add(a,c) = multiplicative_identity ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.10.1.0',plain,
% 0.47/0.85 ( add(a,c) = multiplicative_identity ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.47/0.85 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.47/0.85 cnf('0.10.1.1',plain,
% 0.47/0.85 ( add(c,a) = multiplicative_identity ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.10.1.0','0.5.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.10.2.0',plain,
% 0.47/0.85 ( add(c,a) = multiplicative_identity ),
% 0.47/0.85 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 0.47/0.85 [u,rule_9]).
% 0.47/0.85 cnf('0.11.0.0',axiom,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.11.1.0',plain,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.47/0.85 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.47/0.85 cnf('0.11.2.0',plain,
% 0.47/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.47/0.85 inference(activate,[status(thm)],['0.11.1.0']),
% 0.47/0.85 [equation_2]).
% 0.47/0.85 cnf('0.15.0.0',axiom,
% 0.47/0.85 ( multiply(a,b) = additive_identity ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.15.1.0',plain,
% 0.47/0.85 ( multiply(a,b) = additive_identity ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.47/0.85 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.47/0.85 cnf('0.15.1.1',plain,
% 0.47/0.85 ( multiply(b,a) = additive_identity ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.15.1.0','0.11.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.15.2.0',plain,
% 0.47/0.85 ( multiply(b,a) = additive_identity ),
% 0.47/0.85 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 0.47/0.85 [u,rule_13]).
% 0.47/0.85 cnf('0.16.0.0',axiom,
% 0.47/0.85 ( multiply(a,c) = additive_identity ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032')).
% 0.47/0.85 cnf('0.16.1.0',plain,
% 0.47/0.85 ( multiply(a,c) = additive_identity ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.47/0.85 [weight('<16,0,0,[0,0,0,17]>')]).
% 0.47/0.85 cnf('0.16.1.1',plain,
% 0.47/0.85 ( multiply(c,a) = additive_identity ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.16.1.0','0.11.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.16.2.0',plain,
% 0.47/0.85 ( multiply(c,a) = additive_identity ),
% 0.47/0.85 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 0.47/0.85 [u,rule_14]).
% 0.47/0.85 cnf('0.22.0.0',plain,
% 0.47/0.85 ( add(b,multiply(X1,a)) = multiply(add(b,X1),multiplicative_identity) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.22.0.1',plain,
% 0.47/0.85 ( add(b,multiply(X1,a)) = add(b,X1) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.22.0.0','0.3.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.22.1.0',plain,
% 0.47/0.85 ( add(b,multiply(X1,a)) = add(b,X1) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.47/0.85 [weight('<5,9,6,[0,0,0,4]>')]).
% 0.47/0.85 cnf('0.22.2.0',plain,
% 0.47/0.85 ( add(b,multiply(X1,a)) = add(b,X1) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_20]).
% 0.47/0.85 cnf('0.24.0.0',plain,
% 0.47/0.85 ( add(b,c) = add(b,additive_identity) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.22.2.0','0.16.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.24.0.1',plain,
% 0.47/0.85 ( add(b,c) = b ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.24.0.0','0.1.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.24.1.0',plain,
% 0.47/0.85 ( add(b,c) = b ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.47/0.85 [weight('<3,22,16,[1,0,0,2]>')]).
% 0.47/0.85 cnf('0.24.1.1',plain,
% 0.47/0.85 ( add(c,b) = b ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.24.1.0','0.5.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.24.2.0',plain,
% 0.47/0.85 ( add(c,b) = b ),
% 0.47/0.85 inference(orient,[status(thm)],['0.24.1.1',theory(equality)]),
% 0.47/0.85 [u,rule_22]).
% 0.47/0.85 cnf('0.33.0.0',plain,
% 0.47/0.85 ( add(c,multiply(X1,a)) = multiply(add(c,X1),multiplicative_identity) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.33.0.1',plain,
% 0.47/0.85 ( add(c,multiply(X1,a)) = add(c,X1) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.33.0.0','0.3.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.33.1.0',plain,
% 0.47/0.85 ( add(c,multiply(X1,a)) = add(c,X1) ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.47/0.85 [weight('<5,10,6,[0,0,0,4]>')]).
% 0.47/0.85 cnf('0.33.2.0',plain,
% 0.47/0.85 ( add(c,multiply(X1,a)) = add(c,X1) ),
% 0.47/0.85 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_31]).
% 0.47/0.85 cnf('0.34.0.0',plain,
% 0.47/0.85 ( add(c,b) = add(c,additive_identity) ),
% 0.47/0.85 inference(cp,[status(thm)],['0.33.2.0','0.15.2.0',theory(equality)]),
% 0.47/0.85 [pos('L.2','L')]).
% 0.47/0.85 cnf('0.34.0.1',plain,
% 0.47/0.85 ( b = add(c,additive_identity) ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.34.0.0','0.24.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('0.34.0.2',plain,
% 0.47/0.85 ( b = c ),
% 0.47/0.85 inference(reduction,[status(thm)],['0.34.0.1','0.1.2.0',theory(equality)]),
% 0.47/0.85 [pos('R','L')]).
% 0.47/0.85 cnf('0.34.1.0',plain,
% 0.47/0.85 ( b = c ),
% 0.47/0.85 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.47/0.85 [weight('<1,33,15,[1,0,0,2]>')]).
% 0.47/0.85 cnf('0.34.2.0',plain,
% 0.47/0.85 ( b = c ),
% 0.47/0.85 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.47/0.85 [u,rule_32]).
% 0.47/0.85 cnf('1.0.0.0',conjecture,
% 0.47/0.85 ( b = c ),
% 0.47/0.85 file('/tmp/WALDMEISTER_12743_n032',conjecture_1)).
% 0.47/0.85 cnf('1.0.0.1',plain,
% 0.47/0.85 ( c = c ),
% 0.47/0.85 inference(reduction,[status(thm)],['1.0.0.0','0.34.2.0',theory(equality)]),
% 0.47/0.85 [pos('L','L')]).
% 0.47/0.85 cnf('1.0.0.2',plain,
% 0.47/0.85 ( $true ),
% 0.47/0.85 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.47/0.85 [conjecture_1]).
% 0.47/0.85
% 0.47/0.85 Proved Goals:
% 0.47/0.85 No. 1: b ?= c joined, current: c = c
% 0.47/0.85 1 goal was specified, which was proved.
% 0.47/0.85 % SZS output end CNFRefutation
% 0.47/0.85 #END OF PROOF
% 0.47/0.85
% 0.47/0.85 Problem WALDMEISTER_12743_n032
% 0.47/0.85 CPs.gen 169
% 0.47/0.85 CPs.reexp 0
% 0.47/0.85 Select 37
% 0.47/0.85 R 32
% 0.47/0.85 E 2
% 0.47/0.85 vsize 6.5M
% 0.47/0.85 rss 3.8M
% 0.47/0.85 process.time 0.003s
% 0.47/0.85 wallclock.time 0.003s
% 0.47/0.85 status S
% 0.47/0.85
% 0.47/0.85
% 0.47/0.85 Waldmeister states: Goal proved.
% 0.47/0.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------