%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO002-1 : 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 : Thu Jul 14 23:52:45 EDT 2022
% Result : Unsatisfiable 0.57s 0.99s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 19:38:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(a,inverse(a),b) ?=? b
% 0.57/0.98
% 0.57/0.98 Detected structure: TernaereBoolescheAlgebra
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.99 joined goal: 1 multiply(a,inverse(a),b) ?= b to b
% 0.57/0.99 goal joined
% 0.57/0.99 % SZS status Unsatisfiable
% 0.57/0.99 #START OF PROOF
% 0.57/0.99 % SZS output start CNFRefutation
% 0.57/0.99 cnf('0.1.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(X2,X1,X1) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23798_n018')).
% 0.57/0.99 cnf('0.1.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,X1,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.1.2.0',plain,
% 0.57/0.99 ( multiply(X1,X2,X2) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_1]).
% 0.57/0.99 cnf('0.2.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(X1,X1,X2) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23798_n018')).
% 0.57/0.99 cnf('0.2.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X1,X1,X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.2.2.0',plain,
% 0.57/0.99 ( multiply(X1,X1,X2) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_2]).
% 0.57/0.99 cnf('0.3.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23798_n018')).
% 0.57/0.99 cnf('0.3.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),X2,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.3.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1,X2) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_3]).
% 0.57/0.99 cnf('0.4.0.0',axiom,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23798_n018')).
% 0.57/0.99 cnf('0.4.1.0',plain,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X5)) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.99 cnf('0.4.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_4]).
% 0.57/0.99 cnf('0.5.0.0',plain,
% 0.57/0.99 ( multiply(X1,X1,multiply(X2,X3,X4)) = multiply(X1,X3,multiply(X1,X1,X4)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.5.0.1',plain,
% 0.57/0.99 ( X1 = multiply(X1,X3,multiply(X1,X1,X4)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.5.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.5.0.2',plain,
% 0.57/0.99 ( X1 = multiply(X1,X3,X1) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.5.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.3','L')]).
% 0.57/0.99 cnf('0.5.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X1,X3,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.5.0.2']),
% 0.57/0.99 [weight('<4,4,2,[1,0,0,1]>')]).
% 0.57/0.99 cnf('0.5.2.0',plain,
% 0.57/0.99 ( multiply(X1,X2,X1) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_5]).
% 0.57/0.99 cnf('0.6.0.0',plain,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.3','L')]).
% 0.57/0.99 cnf('0.6.1.0',plain,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.99 [weight('<7,4,1,[1,0,0,6]>')]).
% 0.57/0.99 cnf('0.6.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_6]).
% 0.57/0.99 cnf('0.7.0.0',plain,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.4.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.3','L')]).
% 0.57/0.99 cnf('0.7.1.0',plain,
% 0.57/0.99 ( multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.99 [weight('<7,5,4,[0,0,0,6]>')]).
% 0.57/0.99 cnf('0.7.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,X1) = multiply(X1,X2,multiply(X3,X4,X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_7]).
% 0.57/0.99 cnf('0.13.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X2,X5,X4)) = multiply(multiply(X1,X2,multiply(X3,X4,X2)),X5,X4) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.13.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X2,X5,X4)) = multiply(multiply(X1,X2,multiply(X3,X4,X2)),X5,X4) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.57/0.99 [weight('<10,6,6,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.13.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,multiply(X3,X4,X2)),X5,X4) = multiply(multiply(X1,X2,X3),X4,multiply(X2,X5,X4)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_13]).
% 0.57/0.99 cnf('0.14.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X5,X4)) = multiply(multiply(X1,X2,multiply(X3,X4,X1)),X5,X4) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.14.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X5,X4)) = multiply(multiply(X1,X2,multiply(X3,X4,X1)),X5,X4) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.57/0.99 [weight('<10,7,6,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.14.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,multiply(X3,X4,X1)),X5,X4) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X5,X4)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_14]).
% 0.57/0.99 cnf('0.25.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X2,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.13.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.3','L')]).
% 0.57/0.99 cnf('0.25.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X2,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.57/0.99 [weight('<10,13,2,[1,0,0,4]>')]).
% 0.57/0.99 cnf('0.25.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X2,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_25]).
% 0.57/0.99 cnf('0.27.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X2),X3),X2,X3) = multiply(multiply(X1,inverse(X2),X3),X3,X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.25.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.3','L')]).
% 0.57/0.99 cnf('0.27.0.1',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X2),X3),X2,X3) = X3 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.27.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.27.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X2),X3),X2,X3) = X3 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.57/0.99 [weight('<8,25,3,[1,0,0,6]>')]).
% 0.57/0.99 cnf('0.27.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X2),X3),X2,X3) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_27]).
% 0.57/0.99 cnf('0.33.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X1,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.3','L')]).
% 0.57/0.99 cnf('0.33.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X1,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.57/0.99 [weight('<10,14,2,[1,0,0,4]>')]).
% 0.57/0.99 cnf('0.33.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X3,multiply(X1,X4,X3)) = multiply(multiply(X1,X2,X3),X4,X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_33]).
% 0.57/0.99 cnf('0.34.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X1,X3) = multiply(multiply(X1,X2,X3),X3,X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.33.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.3','L')]).
% 0.57/0.99 cnf('0.34.0.1',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,multiply(X3,X3,X1)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.34.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.34.0.2',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.34.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.3','L')]).
% 0.57/0.99 cnf('0.34.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.57/0.99 [weight('<7,33,2,[1,0,0,6]>')]).
% 0.57/0.99 cnf('0.34.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_34]).
% 0.57/0.99 cnf('0.35.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1),X2) = X2 ),
% 0.57/0.99 inference(cp,[status(thm)],['0.34.2.0','0.27.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.35.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1),X2) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.57/0.99 [weight('<5,34,27,[1,0,0,0]>')]).
% 0.57/0.99 cnf('0.35.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1),X2) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_35]).
% 0.57/0.99 cnf('1.0.0.0',conjecture,
% 0.57/0.99 ( multiply(a,inverse(a),b) = b ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23798_n018',conjecture_1)).
% 0.57/0.99 cnf('1.0.0.1',plain,
% 0.57/0.99 ( b = b ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('1.0.0.2',plain,
% 0.57/0.99 ( $true ),
% 0.57/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.99 [conjecture_1]).
% 0.57/0.99
% 0.57/0.99 Proved Goals:
% 0.57/0.99 No. 1: multiply(a,inverse(a),b) ?= b joined, current: b = b
% 0.57/0.99 1 goal was specified, which was proved.
% 0.57/0.99 % SZS output end CNFRefutation
% 0.57/0.99 #END OF PROOF
% 0.57/0.99
% 0.57/0.99 Problem WALDMEISTER_23798_n018
% 0.57/0.99 CPs.gen 1719
% 0.57/0.99 CPs.reexp 0
% 0.57/0.99 Select 42
% 0.57/0.99 R 35
% 0.57/0.99 E 0
% 0.57/0.99 vsize 6.4M
% 0.57/0.99 rss 3.7M
% 0.57/0.99 process.time 0.010s
% 0.57/0.99 wallclock.time 0.010s
% 0.57/0.99 status S
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Waldmeister states: Goal proved.
% 0.57/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------