TSTP Solution File: GRP520-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 12:26:46 EDT 2022
% Result : Unsatisfiable 0.58s 0.98s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : woody %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 14 13:35:50 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) multiply(a,b) ?=? multiply(b,a)
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98 joined goal: 1 multiply(a,b) ?= multiply(b,a) to multiply(b,a)
% 0.58/0.98 goal joined
% 0.58/0.98 % SZS status Unsatisfiable
% 0.58/0.98 #START OF PROOF
% 0.58/0.98 % SZS output start CNFRefutation
% 0.58/0.98 cnf('0.1.0.0',axiom,
% 0.58/0.98 ( X1 = multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X1),X3)) ),
% 0.58/0.98 file('/tmp/WALDMEISTER_7424_n023')).
% 0.58/0.98 cnf('0.1.1.0',plain,
% 0.58/0.98 ( X1 = multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X1),X3)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/0.98 cnf('0.1.2.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(multiply(inverse(multiply(X1,X2)),X3),X2)) = X3 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_1]).
% 0.58/0.98 cnf('0.2.0.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.1','L')]).
% 0.58/0.98 cnf('0.2.1.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/0.98 [weight('<?,1,1,[0,0,0,3]>')]).
% 0.58/0.98 cnf('0.2.2.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_2]).
% 0.58/0.98 cnf('0.3.0.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.3.1.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/0.98 [weight('<131,2,1,[0,0,0,2]>')]).
% 0.58/0.98 cnf('0.3.2.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X2))) = X3 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_3]).
% 0.58/0.98 cnf('0.4.0.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X3,X2))),X3) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.4.1.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X3,X2))),X3) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/0.98 [weight('<155,3,3,[0,0,0,5]>')]).
% 0.58/0.98 cnf('0.4.2.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X3,X2))),X3) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_4]).
% 0.58/0.98 cnf('0.5.0.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(multiply(inverse(multiply(inverse(multiply(X1,X3)),X5)),X4),X5)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1.1.1','L')]).
% 0.58/0.98 cnf('0.5.0.1',plain,
% 0.58/0.98 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(X1,multiply(X4,X3))) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.5.0.0','0.2.2.0',theory(equality)]),
% 0.58/0.98 [pos('R.2','L')]).
% 0.58/0.98 cnf('0.5.1.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(X1,multiply(X4,X3))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.58/0.98 [weight('<175,2,1,[1,0,0,3]>')]).
% 0.58/0.98 cnf('0.5.2.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(X1),X2),multiply(X3,multiply(X1,X4))) = multiply(X3,multiply(X2,X4)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_5]).
% 0.58/0.98 cnf('0.6.0.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(X1),X2),multiply(X3,multiply(X1,X4))) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.6.0.1',plain,
% 0.58/0.98 ( multiply(X3,multiply(X2,X4)) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.6.0.0','0.5.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.6.1.0',plain,
% 0.58/0.98 ( multiply(X3,multiply(X2,X4)) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.58/0.98 [weight('<175,5,5,[0,0,0,5]>')]).
% 0.58/0.98 cnf('0.6.2.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(X1),X2),multiply(X1,multiply(X3,X4))) = multiply(X2,multiply(X3,X4)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_6]).
% 0.58/0.98 cnf('0.7.0.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X4),X3))) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2.2','L')]).
% 0.58/0.98 cnf('0.7.0.1',plain,
% 0.58/0.98 ( multiply(X1,X4) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.7.1.0',plain,
% 0.58/0.98 ( multiply(X1,X4) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.58/0.98 [weight('<107,6,1,[1,0,0,7]>')]).
% 0.58/0.98 cnf('0.7.2.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(X1),X2),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_7]).
% 0.58/0.98 cnf('0.8.0.0',plain,
% 0.58/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1','L')]).
% 0.58/0.98 cnf('0.8.1.0',plain,
% 0.58/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/0.98 [weight('<119,7,3,[1,0,0,1]>')]).
% 0.58/0.98 cnf('0.8.2.0',plain,
% 0.58/0.98 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_8]).
% 0.58/0.98 cnf('0.9.0.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(multiply(inverse(X2),X3),multiply(X2,X4))) = multiply(multiply(X1,X3),X4) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.9.0.1',plain,
% 0.58/0.98 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.9.1.0',plain,
% 0.58/0.98 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.58/0.98 [weight('<65,8,7,[1,0,0,0]>')]).
% 0.58/0.98 cnf('0.9.2.0',plain,
% 0.58/0.98 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_9]).
% 0.58/0.98 cnf('0.10.0.0',plain,
% 0.58/0.98 ( multiply(multiply(inverse(X1),X2),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.58/0.98 cnf('0.10.0.1',plain,
% 0.58/0.98 ( multiply(inverse(X1),multiply(X2,multiply(X1,X3))) = multiply(X2,X3) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.10.0.0','0.9.2.0',theory(equality)]),
% 0.58/0.98 [pos('L','L')]).
% 0.58/0.98 cnf('0.10.1.0',plain,
% 0.58/0.98 ( multiply(inverse(X1),multiply(X2,multiply(X1,X3))) = multiply(X2,X3) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.58/0.98 [weight('<107,7,9,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.10.2.0',plain,
% 0.58/0.98 ( multiply(inverse(X1),multiply(X2,multiply(X1,X3))) = multiply(X2,X3) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_10]).
% 0.58/0.98 cnf('0.11.0.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(X1,X2)),multiply(X3,X2)) = multiply(inverse(X1),X3) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.2','L')]).
% 0.58/0.98 cnf('0.11.1.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(X1,X2)),multiply(X3,X2)) = multiply(inverse(X1),X3) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/0.98 [weight('<116,10,3,[1,0,0,3]>')]).
% 0.58/0.98 cnf('0.11.2.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(X1,X2)),multiply(X3,X2)) = multiply(inverse(X1),X3) ),
% 0.58/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_11]).
% 0.58/0.98 cnf('0.12.0.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X3,X2))),X3) = X1 ),
% 0.58/0.98 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.58/0.98 cnf('0.12.0.1',plain,
% 0.58/0.98 ( multiply(inverse(multiply(inverse(X1),X3)),X3) = X1 ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.12.0.0','0.11.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1.1','L')]).
% 0.58/0.98 cnf('0.12.1.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(inverse(X1),X3)),X3) = X1 ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.58/0.98 [weight('<71,4,11,[0,0,0,0]>')]).
% 0.58/0.98 cnf('0.12.2.0',plain,
% 0.58/0.98 ( multiply(inverse(multiply(inverse(X1),X2)),X2) = X1 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.58/0.98 [u,rule_12]).
% 0.58/0.98 cnf('0.13.0.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(X2),multiply(inverse(multiply(inverse(X2),X3)),multiply(X1,X3))) ),
% 0.58/0.98 inference(cp,[status(thm)],['0.3.2.0','0.12.2.0',theory(equality)]),
% 0.58/0.98 [pos('L.1.1','L')]).
% 0.58/0.98 cnf('0.13.0.1',plain,
% 0.58/0.98 ( X1 = multiply(inverse(X2),multiply(inverse(inverse(X2)),X1)) ),
% 0.58/0.98 inference(reduction,[status(thm)],['0.13.0.0','0.11.2.0',theory(equality)]),
% 0.58/0.98 [pos('R.2','L')]).
% 0.58/0.98 cnf('0.13.1.0',plain,
% 0.58/0.98 ( X1 = multiply(inverse(X2),multiply(inverse(inverse(X2)),X1)) ),
% 0.58/0.98 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.58/0.98 [weight('<89,12,3,[0,0,0,2]>')]).
% 0.58/0.98 cnf('0.13.2.0',plain,
% 0.58/0.98 ( multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2 ),
% 0.58/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/0.98 [x,rule_13]).
% 0.58/0.98 cnf('0.14.0.0',plain,
% 0.58/0.98 ( inverse(inverse(X1)) = multiply(inverse(multiply(inverse(X1),X2)),X2) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.3.2.0','0.13.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2','L')]).
% 0.58/0.99 cnf('0.14.0.1',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.14.0.0','0.12.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.14.1.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.58/0.99 [weight('<19,13,3,[0,0,0,5]>')]).
% 0.58/0.99 cnf('0.14.2.0',plain,
% 0.58/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_14]).
% 0.58/0.99 cnf('0.15.0.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2 ),
% 0.58/0.99 inference(interreduction_right,[status(thm)],['0.13.2.0'])).
% 0.58/0.99 cnf('0.15.0.1',plain,
% 0.58/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.2.1','L')]).
% 0.58/0.99 cnf('0.15.1.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.58/0.99 [weight('<55,13,14,[0,0,0,0]>')]).
% 0.58/0.99 cnf('0.15.2.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/0.99 [u,rule_15]).
% 0.58/0.99 cnf('0.16.0.0',plain,
% 0.58/0.99 ( X1 = multiply(inverse(X2),multiply(inverse(X3),multiply(X1,multiply(X3,X2)))) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.3.2.0','0.15.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.1','L')]).
% 0.58/0.99 cnf('0.16.0.1',plain,
% 0.58/0.99 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.16.0.0','0.10.2.0',theory(equality)]),
% 0.58/0.99 [pos('R.2','L')]).
% 0.58/0.99 cnf('0.16.1.0',plain,
% 0.58/0.99 ( X1 = multiply(inverse(X2),multiply(X1,X2)) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.58/0.99 [weight('<55,15,3,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.16.2.0',plain,
% 0.58/0.99 ( multiply(inverse(X1),multiply(X2,X1)) = X2 ),
% 0.58/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/0.99 [x,rule_16]).
% 0.58/0.99 cnf('0.17.0.0',plain,
% 0.58/0.99 ( multiply(inverse(inverse(X1)),X2) = multiply(inverse(X3),multiply(X2,multiply(X3,X1))) ),
% 0.58/0.99 inference(cp,[status(thm)],['0.11.2.0','0.16.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1.1','L')]).
% 0.58/0.99 cnf('0.17.0.1',plain,
% 0.58/0.99 ( multiply(X1,X2) = multiply(inverse(X3),multiply(X2,multiply(X3,X1))) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.0','0.14.2.0',theory(equality)]),
% 0.58/0.99 [pos('L.1','L')]).
% 0.58/0.99 cnf('0.17.0.2',plain,
% 0.58/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.99 inference(reduction,[status(thm)],['0.17.0.1','0.10.2.0',theory(equality)]),
% 0.58/0.99 [pos('R','L')]).
% 0.58/0.99 cnf('0.17.1.0',plain,
% 0.58/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.99 inference(weigh,[status(thm)],['0.17.0.2']),
% 0.58/0.99 [weight('<48,16,11,[0,0,0,2]>')]).
% 0.58/0.99 cnf('0.17.2.0',plain,
% 0.58/0.99 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/0.99 inference(activate,[status(thm)],['0.17.1.0']),
% 0.58/0.99 [equation_1]).
% 0.58/0.99 cnf('1.0.0.0',conjecture,
% 0.58/0.99 ( multiply(a,b) = multiply(b,a) ),
% 0.58/0.99 file('/tmp/WALDMEISTER_7424_n023',conjecture_1)).
% 0.58/0.99 cnf('1.0.0.1',plain,
% 0.58/0.99 ( multiply(b,a) = multiply(b,a) ),
% 0.58/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.58/0.99 [pos('L','L')]).
% 0.58/0.99 cnf('1.0.0.2',plain,
% 0.58/0.99 ( $true ),
% 0.58/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/0.99 [conjecture_1]).
% 0.58/0.99
% 0.58/0.99 Proved Goals:
% 0.58/0.99 No. 1: multiply(a,b) ?= multiply(b,a) joined, current: multiply(b,a) = multiply(b,a)
% 0.58/0.99 1 goal was specified, which was proved.
% 0.58/0.99 % SZS output end CNFRefutation
% 0.58/0.99 #END OF PROOF
% 0.58/0.99
% 0.58/0.99 Problem WALDMEISTER_7424_n023
% 0.58/0.99 CPs.gen 236
% 0.58/0.99 CPs.reexp 0
% 0.58/0.99 Select 18
% 0.58/0.99 R 16
% 0.58/0.99 E 1
% 0.58/0.99 vsize 6.4M
% 0.58/0.99 rss 3.7M
% 0.58/0.99 process.time 0.003s
% 0.58/0.99 wallclock.time 0.003s
% 0.58/0.99 status S
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Waldmeister states: Goal proved.
% 0.58/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------