TSTP Solution File: GRP601-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP601-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n015.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 12:27:05 EDT 2022
% Result : Unsatisfiable 0.57s 0.97s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP601-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n015.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 21:25:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.57/0.97
% 0.57/0.97 Detected structure: Orkus
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(b1,inverse(b1))
% 0.57/0.97 goal joined
% 0.57/0.97 % SZS status Unsatisfiable
% 0.57/0.97 #START OF PROOF
% 0.57/0.97 % SZS output start CNFRefutation
% 0.57/0.97 cnf('0.1.0.0',axiom,
% 0.57/0.97 ( X1 = inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3))))),X3)) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_16849_n015')).
% 0.57/0.97 cnf('0.1.1.0',plain,
% 0.57/0.97 ( X1 = inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3))))),X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.1.2.0',plain,
% 0.57/0.97 ( inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_1]).
% 0.57/0.97 cnf('0.2.0.0',axiom,
% 0.57/0.97 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.97 file('/tmp/WALDMEISTER_16849_n015')).
% 0.57/0.97 cnf('0.2.1.0',plain,
% 0.57/0.97 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.2.2.0',plain,
% 0.57/0.97 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_2]).
% 0.57/0.97 cnf('0.3.0.0',plain,
% 0.57/0.97 ( inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.97 cnf('0.3.0.1',plain,
% 0.57/0.97 ( multiply(X3,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3)))))) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.3.0.2',plain,
% 0.57/0.97 ( multiply(X3,multiply(inverse(double_divide(X2,double_divide(X1,X3))),X1)) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.3.0.3',plain,
% 0.57/0.97 ( multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.3.0.2','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1','L')]).
% 0.57/0.97 cnf('0.3.1.0',plain,
% 0.57/0.97 ( multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.3.0.3']),
% 0.57/0.97 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.3.2.0',plain,
% 0.57/0.97 ( multiply(X1,multiply(multiply(double_divide(X2,X1),X3),X2)) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_3]).
% 0.57/0.97 cnf('0.4.0.0',plain,
% 0.57/0.97 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1','L')]).
% 0.57/0.97 cnf('0.4.1.0',plain,
% 0.57/0.97 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.97 [weight('<149,3,3,[0,0,0,3]>')]).
% 0.57/0.97 cnf('0.4.2.0',plain,
% 0.57/0.97 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_4]).
% 0.57/0.97 cnf('0.5.0.0',plain,
% 0.57/0.97 ( X1 = multiply(double_divide(X2,X3),multiply(X3,multiply(X1,X2))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.5.1.0',plain,
% 0.57/0.97 ( X1 = multiply(double_divide(X2,X3),multiply(X3,multiply(X1,X2))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.97 [weight('<109,4,3,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.5.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_5]).
% 0.57/0.97 cnf('0.6.0.0',plain,
% 0.57/0.97 ( X1 = multiply(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.6.1.0',plain,
% 0.57/0.97 ( X1 = multiply(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.97 [weight('<109,5,5,[0,0,0,4]>')]).
% 0.57/0.97 cnf('0.6.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(multiply(X1,X2),double_divide(X2,X3)),X1) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_6]).
% 0.57/0.97 cnf('0.7.0.0',plain,
% 0.57/0.97 ( double_divide(X1,X2) = multiply(double_divide(multiply(X2,multiply(X3,X1)),X4),multiply(X4,X3)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.2','L')]).
% 0.57/0.97 cnf('0.7.1.0',plain,
% 0.57/0.97 ( double_divide(X1,X2) = multiply(double_divide(multiply(X2,multiply(X3,X1)),X4),multiply(X4,X3)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.97 [weight('<179,5,5,[0,0,0,6]>')]).
% 0.57/0.97 cnf('0.7.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(multiply(X1,multiply(X2,X3)),X4),multiply(X4,X2)) = double_divide(X3,X1) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_7]).
% 0.57/0.97 cnf('0.8.0.0',plain,
% 0.57/0.97 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 0.57/0.97 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.8.1.0',plain,
% 0.57/0.97 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.97 [weight('<109,7,6,[1,0,0,0]>')]).
% 0.57/0.97 cnf('0.8.2.0',plain,
% 0.57/0.97 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_8]).
% 0.57/0.97 cnf('0.9.0.0',plain,
% 0.57/0.97 ( X1 = double_divide(multiply(X2,X3),double_divide(X3,multiply(X1,X2))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.9.1.0',plain,
% 0.57/0.97 ( X1 = double_divide(multiply(X2,X3),double_divide(X3,multiply(X1,X2))) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.97 [weight('<109,8,7,[1,0,0,2]>')]).
% 0.57/0.97 cnf('0.9.2.0',plain,
% 0.57/0.97 ( double_divide(multiply(X1,X2),double_divide(X2,multiply(X3,X1))) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_9]).
% 0.57/0.97 cnf('0.11.0.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.11.1.0',plain,
% 0.57/0.97 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.98 [weight('<119,9,2,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.11.2.0',plain,
% 0.57/0.98 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_11]).
% 0.57/0.98 cnf('0.12.0.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(multiply(X3,X1),multiply(inverse(X3),X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2.1','L')]).
% 0.57/0.98 cnf('0.12.1.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(multiply(X3,X1),multiply(inverse(X3),X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.98 [weight('<107,11,3,[0,0,0,3]>')]).
% 0.57/0.98 cnf('0.12.2.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,X2),multiply(inverse(X1),X3)) = multiply(X2,X3) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_12]).
% 0.57/0.98 cnf('0.13.0.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(inverse(double_divide(X3,X1)),X4)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.12.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.13.0.1',plain,
% 0.57/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.2.1','L')]).
% 0.57/0.98 cnf('0.13.1.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.57/0.98 [weight('<119,12,5,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.13.2.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_13]).
% 0.57/0.98 cnf('0.14.0.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(multiply(X2,X3),multiply(inverse(X2),X4))) = multiply(multiply(X1,X3),X4) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.13.2.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.14.0.1',plain,
% 0.57/0.98 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.14.0.0','0.12.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.14.1.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.57/0.98 [weight('<65,13,12,[1,0,0,0]>')]).
% 0.57/0.98 cnf('0.14.2.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_14]).
% 0.57/0.98 cnf('0.15.0.0',plain,
% 0.57/0.98 ( multiply(multiply(X1,X2),multiply(inverse(X1),X3)) = multiply(X2,X3) ),
% 0.57/0.98 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.57/0.98 cnf('0.15.0.1',plain,
% 0.57/0.98 ( multiply(X1,multiply(X2,multiply(inverse(X1),X3))) = multiply(X2,X3) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.15.1.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(X2,multiply(inverse(X1),X3))) = multiply(X2,X3) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.57/0.98 [weight('<107,12,14,[0,0,0,0]>')]).
% 0.57/0.98 cnf('0.15.2.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(X2,multiply(inverse(X1),X3))) = multiply(X2,X3) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_15]).
% 0.57/0.98 cnf('0.16.0.0',plain,
% 0.57/0.98 ( multiply(double_divide(X1,inverse(X2)),multiply(X3,X1)) = multiply(X2,X3) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.15.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.16.1.0',plain,
% 0.57/0.98 ( multiply(double_divide(X1,inverse(X2)),multiply(X3,X1)) = multiply(X2,X3) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.57/0.98 [weight('<107,15,5,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.16.2.0',plain,
% 0.57/0.98 ( multiply(double_divide(X1,inverse(X2)),multiply(X3,X1)) = multiply(X2,X3) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_16]).
% 0.57/0.98 cnf('0.17.0.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(multiply(double_divide(X2,X1),X3),X2)) = X3 ),
% 0.57/0.98 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.57/0.98 cnf('0.17.0.1',plain,
% 0.57/0.98 ( multiply(X1,multiply(double_divide(X2,X1),multiply(X3,X2))) = X3 ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.17.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.17.1.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(double_divide(X2,X1),multiply(X3,X2))) = X3 ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.57/0.98 [weight('<109,3,14,[0,0,0,0]>')]).
% 0.57/0.98 cnf('0.17.2.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(double_divide(X2,X1),multiply(X3,X2))) = X3 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_17]).
% 0.57/0.98 cnf('0.18.0.0',plain,
% 0.57/0.98 ( X1 = multiply(double_divide(multiply(double_divide(X2,X1),multiply(X3,X2)),X4),multiply(X4,X3)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.5.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2.2','L')]).
% 0.57/0.98 cnf('0.18.0.1',plain,
% 0.57/0.98 ( X1 = double_divide(X2,double_divide(X2,X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.18.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.18.1.0',plain,
% 0.57/0.98 ( X1 = double_divide(X2,double_divide(X2,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.57/0.98 [weight('<41,17,5,[0,0,0,6]>')]).
% 0.57/0.98 cnf('0.18.2.0',plain,
% 0.57/0.98 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_18]).
% 0.57/0.98 cnf('0.19.0.0',plain,
% 0.57/0.98 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.17.2.0','0.15.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('0.19.1.0',plain,
% 0.57/0.98 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.57/0.98 [weight('<47,17,15,[1,0,0,0]>')]).
% 0.57/0.98 cnf('0.19.2.0',plain,
% 0.57/0.98 ( multiply(double_divide(X1,X2),X1) = inverse(X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_19]).
% 0.57/0.98 cnf('0.20.0.0',plain,
% 0.57/0.98 ( X1 = multiply(multiply(X2,X1),inverse(X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.17.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.20.0.1',plain,
% 0.57/0.98 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.20.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.20.1.0',plain,
% 0.57/0.98 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.57/0.98 [weight('<55,17,11,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.20.2.0',plain,
% 0.57/0.98 ( multiply(X1,multiply(X2,inverse(X1))) = X2 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_20]).
% 0.57/0.98 cnf('0.21.0.0',plain,
% 0.57/0.98 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.20.2.0','0.19.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.21.1.0',plain,
% 0.57/0.98 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.57/0.98 [weight('<44,20,19,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.21.2.0',plain,
% 0.57/0.98 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_21]).
% 0.57/0.98 cnf('0.22.0.0',plain,
% 0.57/0.98 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.17.2.0','0.16.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.22.1.0',plain,
% 0.57/0.98 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.57/0.98 [weight('<55,17,16,[1,0,0,2]>')]).
% 0.57/0.98 cnf('0.22.2.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_22]).
% 0.57/0.98 cnf('0.23.0.0',plain,
% 0.57/0.98 ( X1 = multiply(double_divide(X2,inverse(X1)),X2) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.5.2.0','0.22.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.23.0.1',plain,
% 0.57/0.98 ( X1 = inverse(inverse(X1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.23.0.0','0.19.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.23.1.0',plain,
% 0.57/0.98 ( X1 = inverse(inverse(X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.57/0.98 [weight('<19,22,5,[0,0,0,4]>')]).
% 0.57/0.98 cnf('0.23.2.0',plain,
% 0.57/0.98 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_23]).
% 0.57/0.98 cnf('0.24.0.0',plain,
% 0.57/0.98 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.24.1.0',plain,
% 0.57/0.98 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.57/0.98 [weight('<39,23,2,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.24.2.0',plain,
% 0.57/0.98 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_24]).
% 0.57/0.98 cnf('0.25.0.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.21.2.0','0.23.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.25.1.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.57/0.98 [weight('<53,23,21,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.25.2.0',plain,
% 0.57/0.98 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_25]).
% 0.57/0.98 cnf('0.27.0.0',plain,
% 0.57/0.98 ( inverse(X1) = multiply(double_divide(inverse(X2),X3),multiply(X3,double_divide(X1,X2))) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.5.2.0','0.25.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2.2','L')]).
% 0.57/0.98 cnf('0.27.0.1',plain,
% 0.57/0.98 ( inverse(X1) = multiply(multiply(X2,inverse(X3)),multiply(X3,double_divide(X1,X2))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.27.0.0','0.21.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.1','L')]).
% 0.57/0.98 cnf('0.27.0.2',plain,
% 0.57/0.98 ( inverse(X1) = multiply(X2,multiply(inverse(X3),multiply(X3,double_divide(X1,X2)))) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.27.0.1','0.14.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.27.0.3',plain,
% 0.57/0.98 ( inverse(X1) = multiply(X2,double_divide(X1,X2)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.27.0.2','0.22.2.0',theory(equality)]),
% 0.57/0.98 [pos('R.2','L')]).
% 0.57/0.98 cnf('0.27.1.0',plain,
% 0.57/0.98 ( inverse(X1) = multiply(X2,double_divide(X1,X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.27.0.3']),
% 0.57/0.98 [weight('<47,25,5,[0,0,0,6]>')]).
% 0.57/0.98 cnf('0.27.2.0',plain,
% 0.57/0.98 ( multiply(X1,double_divide(X2,X1)) = inverse(X2) ),
% 0.57/0.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_27]).
% 0.57/0.98 cnf('0.28.0.0',plain,
% 0.57/0.98 ( double_divide(double_divide(X1,X2),X2) = inverse(inverse(X1)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.24.2.0','0.27.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.28.0.1',plain,
% 0.57/0.98 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.57/0.98 inference(reduction,[status(thm)],['0.28.0.0','0.23.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('0.28.1.0',plain,
% 0.57/0.98 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.57/0.98 [weight('<41,27,24,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.28.2.0',plain,
% 0.57/0.98 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.98 [u,rule_28]).
% 0.57/0.98 cnf('0.30.0.0',plain,
% 0.57/0.98 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.28.2.0','0.18.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.30.1.0',plain,
% 0.57/0.98 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/0.98 [weight('<41,28,18,[1,0,0,1]>')]).
% 0.57/0.98 cnf('0.30.2.0',plain,
% 0.57/0.98 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.57/0.98 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.98 [x,rule_30]).
% 0.57/0.98 cnf('0.34.0.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.6.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.1','L')]).
% 0.57/0.98 cnf('0.34.1.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.57/0.98 [weight('<48,30,6,[0,0,0,1]>')]).
% 0.57/0.98 cnf('0.34.2.0',plain,
% 0.57/0.98 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.98 inference(activate,[status(thm)],['0.34.1.0']),
% 0.57/0.98 [equation_2]).
% 0.57/0.98 cnf('0.44.0.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.98 inference(cp,[status(thm)],['0.15.2.0','0.20.2.0',theory(equality)]),
% 0.57/0.98 [pos('L.2','L')]).
% 0.57/0.98 cnf('0.44.1.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.98 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.57/0.98 [weight('<80,20,15,[0,0,0,2]>')]).
% 0.57/0.98 cnf('0.44.2.0',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.98 inference(activate,[status(thm)],['0.44.1.0']),
% 0.57/0.98 [equation_4]).
% 0.57/0.98 cnf('0.44.2.1',plain,
% 0.57/0.98 ( multiply(X1,inverse(X1)) = multiply(b1,inverse(b1)) ),
% 0.57/0.98 inference(instr,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.57/0.98 cnf('0.44.2.2',plain,
% 0.57/0.98 ( multiply(b1,inverse(b1)) = multiply(X1,inverse(X1)) ),
% 0.57/0.98 inference(instl,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.57/0.98 cnf('1.0.0.0',conjecture,
% 0.57/0.98 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.57/0.98 file('/tmp/WALDMEISTER_16849_n015',conjecture_1)).
% 0.57/0.98 cnf('1.0.0.1',plain,
% 0.57/0.98 ( multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
% 0.57/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.34.2.0',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('1.0.0.2',plain,
% 0.57/0.98 ( multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['1.0.0.1','0.34.2.0',theory(equality)]),
% 0.57/0.98 [pos('R','L')]).
% 0.57/0.98 cnf('1.0.0.3',plain,
% 0.57/0.98 ( multiply(b1,inverse(b1)) = multiply(b1,inverse(b1)) ),
% 0.57/0.98 inference(reduction,[status(thm)],['1.0.0.2','0.44.2.1',theory(equality)]),
% 0.57/0.98 [pos('L','L')]).
% 0.57/0.98 cnf('1.0.0.4',plain,
% 0.57/0.98 ( $true ),
% 0.57/0.98 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.57/0.98 [conjecture_1]).
% 0.57/0.98
% 0.57/0.98 Proved Goals:
% 0.57/0.98 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(b1,inverse(b1)) = multiply(b1,inverse(b1))
% 0.57/0.98 1 goal was specified, which was proved.
% 0.57/0.98 % SZS output end CNFRefutation
% 0.57/0.98 #END OF PROOF
% 0.57/0.98
% 0.57/0.98 Problem WALDMEISTER_16849_n015
% 0.57/0.98 CPs.gen 789
% 0.57/0.98 CPs.reexp 0
% 0.57/0.98 Select 106
% 0.57/0.98 R 40
% 0.57/0.98 E 4
% 0.57/0.98 vsize 6.4M
% 0.57/0.98 rss 3.8M
% 0.57/0.98 process.time 0.006s
% 0.57/0.98 wallclock.time 0.006s
% 0.57/0.98 status S
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Waldmeister states: Goal proved.
% 0.57/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------