TSTP Solution File: GRP435-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 : Sat Jul 16 12:26:15 EDT 2022
% Result : Unsatisfiable 0.62s 1.03s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 21:48:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/1.02 ********************************************************************************
% 0.62/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.02 * |/ | \/ | *
% 0.62/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.02 * A. Jaeger and B. Loechner | | *
% 0.62/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.02 ********************************************************************************
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Goals:
% 0.62/1.02 ------
% 0.62/1.02
% 0.62/1.02 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.62/1.02
% 0.62/1.02 Detected structure: Orkus
% 0.62/1.02 ********************************************************************************
% 0.62/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.02 ********************************************************************************
% 0.62/1.02
% 0.62/1.03 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.62/1.03 goal joined
% 0.62/1.03 % SZS status Unsatisfiable
% 0.62/1.03 #START OF PROOF
% 0.62/1.03 % SZS output start CNFRefutation
% 0.62/1.03 cnf('0.1.0.0',axiom,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X1)),X2),X3),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_10019_n011')).
% 0.62/1.03 cnf('0.1.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X1)),X2),X3),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.1.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2),multiply(X4,inverse(X4)))) = X3 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_1]).
% 0.62/1.03 cnf('0.2.0.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.2.1.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.03 [weight('<?,1,1,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.2.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X3,X4),X2)),X3)),X4),multiply(X5,inverse(X5)))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.2.1.0']),
% 0.62/1.03 [equation_1]).
% 0.62/1.03 cnf('0.2.2.1',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(multiply(c3,multiply(inverse(multiply(multiply(c3,c3),c3)),c3)),c3),multiply(c3,inverse(c3)))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.2.2.2',plain,
% 0.62/1.03 ( multiply(c3,inverse(c3)) = inverse(multiply(multiply(multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2)),X3),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.3.0.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','R')]).
% 0.62/1.03 cnf('0.3.1.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.03 [weight('<80,2,2,[1,1,1,0]>')]).
% 0.62/1.03 cnf('0.3.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.3.1.0']),
% 0.62/1.03 [equation_2]).
% 0.62/1.03 cnf('0.3.2.1',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = multiply(c3,inverse(c3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.3.2.2',plain,
% 0.62/1.03 ( multiply(c3,inverse(c3)) = multiply(X1,inverse(X1)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.4.0.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,inverse(X3))),X1),X2),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.4.1.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,inverse(X3))),X1),X2),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.03 [weight('<319,3,1,[0,0,0,5]>')]).
% 0.62/1.03 cnf('0.4.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),X3),multiply(X4,inverse(X4)))) = inverse(multiply(X2,X3)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_2]).
% 0.62/1.03 cnf('0.5.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X1)),X3),inverse(X3)),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.5.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X1)),X3),inverse(X3)),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.03 [weight('<379,3,1,[0,0,0,6]>')]).
% 0.62/1.03 cnf('0.5.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(X1)),X2)),X3),inverse(X3)),multiply(X4,inverse(X4)))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_3]).
% 0.62/1.03 cnf('0.6.0.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','R')]).
% 0.62/1.03 cnf('0.6.1.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.03 [weight('<399,4,2,[1,0,1,0]>')]).
% 0.62/1.03 cnf('0.6.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(X4,inverse(X4)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.6.1.0']),
% 0.62/1.03 [equation_3]).
% 0.62/1.03 cnf('0.6.2.1',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(X3))))),X1),X2)) = multiply(c3,inverse(c3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.6.2.2',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(c3,c3),inverse(multiply(c3,inverse(c3))))),c3),c3)) = multiply(X1,inverse(X1)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.7.0.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.7.1.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.03 [weight('<255,6,3,[1,0,0,4]>')]).
% 0.62/1.03 cnf('0.7.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(X3))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.7.1.0']),
% 0.62/1.03 [equation_4]).
% 0.62/1.03 cnf('0.7.2.1',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),c3),inverse(c3))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.7.2.2',plain,
% 0.62/1.03 ( multiply(c3,inverse(c3)) = inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),inverse(X2))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.9.0.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))),X1),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','R')]).
% 0.62/1.03 cnf('0.9.1.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))),X1),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.03 [weight('<398,7,1,[0,1,0,4]>')]).
% 0.62/1.03 cnf('0.9.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X4,inverse(X4)))) = inverse(X3) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_4]).
% 0.62/1.03 cnf('0.10.0.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X1),multiply(X3,inverse(X3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.10.1.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X1),multiply(X3,inverse(X3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.62/1.03 [weight('<194,9,3,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.10.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_5]).
% 0.62/1.03 cnf('0.12.0.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.62/1.03 inference(cp,[status(thm)],['0.10.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.12.1.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.03 [weight('<131,10,5,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.12.2.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_7]).
% 0.62/1.03 cnf('0.13.0.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))))))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.13.0.1',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.13.0.0','0.12.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.13.1.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.62/1.03 [weight('<120,12,9,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.13.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.13.1.0']),
% 0.62/1.03 [equation_6]).
% 0.62/1.03 cnf('0.13.2.1',plain,
% 0.62/1.03 ( multiply(X1,inverse(X1)) = inverse(inverse(multiply(c3,inverse(c3)))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.13.2.2',plain,
% 0.62/1.03 ( multiply(c3,inverse(c3)) = inverse(inverse(multiply(X1,inverse(X1)))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.14.0.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))),X1),multiply(X4,inverse(X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.10.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.2','R')]).
% 0.62/1.03 cnf('0.14.0.1',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.14.1.0',plain,
% 0.62/1.03 ( inverse(X1) = inverse(multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.62/1.03 [weight('<79,13,10,[0,1,0,5]>')]).
% 0.62/1.03 cnf('0.14.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(X1,inverse(X1)),X2)) = inverse(X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_8]).
% 0.62/1.03 cnf('0.15.0.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2))))) = X2 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.62/1.03 cnf('0.15.0.1',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(X2)))) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.15.1.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(X2)))) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.62/1.03 [weight('<41,12,14,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.15.2.0',plain,
% 0.62/1.03 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_9]).
% 0.62/1.03 cnf('0.16.0.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(inverse(inverse(X2)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.15.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.16.0.1',plain,
% 0.62/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.16.0.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.16.1.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.62/1.03 [weight('<55,15,14,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.16.2.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_10]).
% 0.62/1.03 cnf('0.18.0.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.10.2.0'])).
% 0.62/1.03 cnf('0.18.0.1',plain,
% 0.62/1.03 ( inverse(multiply(X2,multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.18.0.0','0.16.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.18.1.0',plain,
% 0.62/1.03 ( inverse(multiply(X2,multiply(X3,inverse(X3)))) = inverse(X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.62/1.03 [weight('<79,10,16,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.18.2.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_12]).
% 0.62/1.03 cnf('0.19.0.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(X1)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.15.2.0','0.18.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.19.0.1',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.19.0.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.19.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.62/1.03 [weight('<55,18,15,[0,0,0,3]>')]).
% 0.62/1.03 cnf('0.19.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_13]).
% 0.62/1.03 cnf('0.27.0.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2),multiply(X4,inverse(X4)))) = X3 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.62/1.03 cnf('0.27.0.1',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.27.0.0','0.18.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.27.1.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.62/1.03 [weight('<155,1,18,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.27.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2)) = X3 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_19]).
% 0.62/1.03 cnf('0.28.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X3,inverse(X3))),X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.27.2.0','0.16.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.28.0.1',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),X2)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.28.0.0','0.19.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1.1','L')]).
% 0.62/1.03 cnf('0.28.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.62/1.03 [weight('<71,27,16,[1,0,0,5]>')]).
% 0.62/1.03 cnf('0.28.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_20]).
% 0.62/1.03 cnf('0.29.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.28.2.0','0.16.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.29.0.1',plain,
% 0.62/1.03 ( X1 = inverse(inverse(X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.29.0.0','0.19.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.29.1.0',plain,
% 0.62/1.03 ( X1 = inverse(inverse(X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.62/1.03 [weight('<19,28,16,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.29.2.0',plain,
% 0.62/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_21]).
% 0.62/1.03 cnf('0.32.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.29.2.0','0.28.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.32.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.62/1.03 [weight('<62,29,28,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.32.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_24]).
% 0.62/1.03 cnf('0.33.0.0',plain,
% 0.62/1.03 ( inverse(X1) = multiply(inverse(inverse(X2)),inverse(multiply(X1,X2))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.32.2.0','0.32.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.33.0.1',plain,
% 0.62/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.33.0.0','0.29.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.33.1.0',plain,
% 0.62/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.62/1.03 [weight('<62,32,32,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.33.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_25]).
% 0.62/1.03 cnf('0.45.0.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,multiply(X2,X3))) = inverse(multiply(multiply(inverse(inverse(X1)),X2),X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.27.2.0','0.33.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.45.0.1',plain,
% 0.62/1.03 ( inverse(multiply(X1,multiply(X2,X3))) = inverse(multiply(multiply(X1,X2),X3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.45.0.0','0.29.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1.1.1','L')]).
% 0.62/1.03 cnf('0.45.1.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,multiply(X2,X3))) = inverse(multiply(multiply(X1,X2),X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.62/1.03 [weight('<90,33,27,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.45.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(X1,X2),X3)) = inverse(multiply(X1,multiply(X2,X3))) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_36]).
% 0.62/1.03 cnf('0.46.0.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = inverse(inverse(multiply(X1,multiply(X2,X3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.29.2.0','0.45.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.46.0.1',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.46.0.0','0.29.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.46.1.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.62/1.03 [weight('<65,45,29,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.46.2.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_37]).
% 0.62/1.03 cnf('1.0.0.0',conjecture,
% 0.62/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_10019_n011',conjecture_1)).
% 0.62/1.03 cnf('1.0.0.1',plain,
% 0.62/1.03 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.46.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('1.0.0.2',plain,
% 0.62/1.03 ( $true ),
% 0.62/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.03 [conjecture_1]).
% 0.62/1.03
% 0.62/1.03 Proved Goals:
% 0.62/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.62/1.03 1 goal was specified, which was proved.
% 0.62/1.03 % SZS output end CNFRefutation
% 0.62/1.03 #END OF PROOF
% 0.62/1.03
% 0.62/1.03 Problem WALDMEISTER_10019_n011
% 0.62/1.03 CPs.gen 1261
% 0.62/1.03 CPs.reexp 0
% 0.62/1.03 Select 190
% 0.62/1.03 R 37
% 0.62/1.03 E 9
% 0.62/1.03 vsize 6.4M
% 0.62/1.03 rss 3.8M
% 0.62/1.03 process.time 0.009s
% 0.62/1.03 wallclock.time 0.009s
% 0.62/1.03 status S
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Waldmeister states: Goal proved.
% 0.62/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------