TSTP Solution File: ALG005-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ALG005-1 : TPTP v8.1.0. Released v2.2.0.
% 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 18:24:58 EDT 2022
% Result : Unsatisfiable 0.43s 0.85s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG005-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.10 % 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 8 11:02:21 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.43/0.83 ********************************************************************************
% 0.43/0.83 * W A L D M E I S T E R \| \ / \|/ *
% 0.43/0.83 * |/ | \/ | *
% 0.43/0.83 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.43/0.83 * A. Jaeger and B. Loechner | | *
% 0.43/0.83 * <waldmeister@informatik.uni-kl.de> | *
% 0.43/0.83 ********************************************************************************
% 0.43/0.83
% 0.43/0.83
% 0.43/0.83 Goals:
% 0.43/0.83 ------
% 0.43/0.83
% 0.43/0.83 ( 1) multiply(multiply(a,b),c) ?=? multiply(a,multiply(b,c))
% 0.43/0.83
% 0.43/0.83 Detected structure: Orkus
% 0.43/0.83 ********************************************************************************
% 0.43/0.83 ****************************** COMPLETION - PROOF ******************************
% 0.43/0.83 ********************************************************************************
% 0.43/0.83
% 0.43/0.85 joined goal: 1 multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) to multiply(a,multiply(c,b))
% 0.43/0.85 goal joined
% 0.43/0.85 % SZS status Unsatisfiable
% 0.43/0.85 #START OF PROOF
% 0.43/0.85 % SZS output start CNFRefutation
% 0.43/0.85 cnf('0.1.0.0',axiom,
% 0.43/0.85 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_30784_n032')).
% 0.43/0.85 cnf('0.1.1.0',plain,
% 0.43/0.85 ( X1 = difference(X1,difference(X2,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.43/0.85 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.1.2.0',plain,
% 0.43/0.85 ( difference(X1,difference(X2,X1)) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_1]).
% 0.43/0.85 cnf('0.2.0.0',axiom,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_30784_n032')).
% 0.43/0.85 cnf('0.2.1.0',plain,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.43/0.85 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.2.2.0',plain,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.43/0.85 inference(activate,[status(thm)],['0.2.1.0']),
% 0.43/0.85 [equation_1]).
% 0.43/0.85 cnf('0.3.0.0',axiom,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = multiply(X1,X2) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_30784_n032')).
% 0.43/0.85 cnf('0.3.1.0',plain,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = multiply(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.43/0.85 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.43/0.85 cnf('0.3.2.0',plain,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = multiply(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_2]).
% 0.43/0.85 cnf('0.4.0.0',axiom,
% 0.43/0.85 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_30784_n032')).
% 0.43/0.85 cnf('0.4.1.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),X3) = difference(difference(X1,X3),difference(X2,X3)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.43/0.85 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.4.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X3),X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_3]).
% 0.43/0.85 cnf('0.6.0.0',plain,
% 0.43/0.85 ( difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)) ),
% 0.43/0.85 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.43/0.85 cnf('0.6.0.1',plain,
% 0.43/0.85 ( multiply(X1,X2) = difference(X2,difference(X2,X1)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.6.0.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.6.0.2',plain,
% 0.43/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.6.0.1','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.6.1.0',plain,
% 0.43/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.6.0.2']),
% 0.43/0.85 [weight('<48,2,3,[0,0,0,0]>')]).
% 0.43/0.85 cnf('0.6.2.0',plain,
% 0.43/0.85 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.43/0.85 inference(activate,[status(thm)],['0.6.1.0']),
% 0.43/0.85 [equation_2]).
% 0.43/0.85 cnf('0.7.0.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,X2),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.7.1.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,X2),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.43/0.85 [weight('<53,1,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.7.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),X2) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_5]).
% 0.43/0.85 cnf('0.8.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X1)) = difference(X1,X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.8.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X1)) = difference(X1,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.43/0.85 [weight('<53,3,1,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.8.2.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X1)) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_6]).
% 0.43/0.85 cnf('0.9.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,multiply(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.9.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,multiply(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.43/0.85 [weight('<65,3,3,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.9.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X1,X2)) = multiply(X1,difference(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_7]).
% 0.43/0.85 cnf('0.10.0.0',plain,
% 0.43/0.85 ( difference(difference(X1,difference(X1,X2)),X2) = multiply(difference(X1,X2),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.10.0.1',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X2) = multiply(difference(X1,X2),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.10.0.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.10.1.0',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X2) = multiply(difference(X1,X2),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.43/0.85 [weight('<65,4,3,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.10.1.1',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X2) = multiply(X2,difference(X1,X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.10.1.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.10.1.2',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.10.1.1','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.10.2.0',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.10.1.2',theory(equality)]),
% 0.43/0.85 [u,rule_8]).
% 0.43/0.85 cnf('0.11.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(multiply(X1,X2),X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.11.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(multiply(X1,X2),X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.43/0.85 [weight('<53,10,6,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.11.2.0',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X1) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_9]).
% 0.43/0.85 cnf('0.12.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,multiply(X2,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.12.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,multiply(X2,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.43/0.85 [weight('<65,9,6,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.12.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,X1)) = multiply(X1,difference(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_10]).
% 0.43/0.85 cnf('0.13.0.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,X2),multiply(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.13.1.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,X2),multiply(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.43/0.85 [weight('<87,3,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.13.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),multiply(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_11]).
% 0.43/0.85 cnf('0.15.0.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X3) = difference(difference(X1,X3),difference(X3,X3)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.15.0.1',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X3) = difference(difference(X1,X3),X3) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.15.0.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.15.0.2',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X3) = difference(X1,X3) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.15.0.1','0.7.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.15.1.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X3) = difference(X1,X3) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.15.0.2']),
% 0.43/0.85 [weight('<87,10,4,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.15.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X3) = difference(X1,X3) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_13]).
% 0.43/0.85 cnf('0.16.0.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X2) = difference(difference(X1,X2),difference(X2,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.16.0.1',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X2) = difference(difference(X1,X2),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.16.0.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.16.0.2',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X2) = difference(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.16.0.1','0.7.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.16.1.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X2) = difference(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.16.0.2']),
% 0.43/0.85 [weight('<87,11,4,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.16.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),X2) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_14]).
% 0.43/0.85 cnf('0.22.0.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,difference(X2,X2)),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.16.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1.2','L')]).
% 0.43/0.85 cnf('0.22.1.0',plain,
% 0.43/0.85 ( difference(X1,X2) = difference(difference(X1,difference(X2,X2)),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.43/0.85 [weight('<87,16,8,[1,0,0,3]>')]).
% 0.43/0.85 cnf('0.22.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,difference(X2,X2)),X2) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_20]).
% 0.43/0.85 cnf('0.25.0.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X2)),X2) = difference(difference(difference(X2,X2),difference(X2,X2)),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.22.2.0','0.10.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.25.0.1',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X2)),X2) = difference(difference(X2,X2),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.25.0.0','0.22.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.25.0.2',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X2)),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.25.0.1','0.7.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.25.1.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X2)),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.43/0.85 [weight('<87,22,10,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.25.2.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X2)),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_23]).
% 0.43/0.85 cnf('0.27.0.0',plain,
% 0.43/0.85 ( multiply(multiply(X1,difference(X2,X2)),X2) = difference(multiply(X1,difference(X2,X2)),difference(X2,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.25.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.27.0.1',plain,
% 0.43/0.85 ( multiply(multiply(X1,difference(X2,X2)),X2) = difference(difference(X2,X2),difference(X2,X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.27.0.0','0.10.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.27.0.2',plain,
% 0.43/0.85 ( multiply(multiply(X1,difference(X2,X2)),X2) = difference(difference(X2,X2),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.27.0.1','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.27.0.3',plain,
% 0.43/0.85 ( multiply(multiply(X1,difference(X2,X2)),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.27.0.2','0.7.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.27.1.0',plain,
% 0.43/0.85 ( multiply(multiply(X1,difference(X2,X2)),X2) = difference(X2,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.27.0.3']),
% 0.43/0.85 [weight('<87,25,3,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.27.1.1',plain,
% 0.43/0.85 ( multiply(X2,multiply(X1,difference(X2,X2))) = difference(X2,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.27.1.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.27.2.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,difference(X1,X1))) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.27.1.1',theory(equality)]),
% 0.43/0.85 [u,rule_25]).
% 0.43/0.85 cnf('0.28.0.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X1))) = difference(difference(X1,multiply(X2,difference(X1,X1))),difference(X1,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.13.2.0','0.27.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.28.0.1',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X1))) = difference(X1,difference(X1,X1)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.28.0.0','0.15.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.28.0.2',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X1))) = X1 ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.28.0.1','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.28.1.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X1))) = X1 ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.28.0.2']),
% 0.43/0.85 [weight('<71,27,13,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.28.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X1))) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_26]).
% 0.43/0.85 cnf('0.29.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X2)) = difference(multiply(X1,difference(X2,X2)),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.28.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.29.0.1',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X2)) = difference(X2,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.29.0.0','0.25.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.29.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X2)) = difference(X2,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.43/0.85 [weight('<53,28,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.29.2.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,X2)) = difference(X2,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_27]).
% 0.43/0.85 cnf('0.30.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = multiply(difference(X1,X1),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.29.2.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.30.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = multiply(difference(X1,X1),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.43/0.85 [weight('<53,29,6,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.30.2.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X1),X2) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_28]).
% 0.43/0.85 cnf('0.31.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(X2,X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.30.2.0','0.29.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.31.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(X2,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.43/0.85 [weight('<48,30,29,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.31.2.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(X2,X2) ),
% 0.43/0.85 inference(activate,[status(thm)],['0.31.1.0']),
% 0.43/0.85 [equation_3]).
% 0.43/0.85 cnf('0.31.2.1',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(c,c) ),
% 0.43/0.85 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.43/0.85 cnf('0.31.2.2',plain,
% 0.43/0.85 ( difference(c,c) = difference(X1,X1) ),
% 0.43/0.85 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.43/0.85 cnf('0.32.0.0',plain,
% 0.43/0.85 ( X1 = difference(X1,difference(X2,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.31.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.32.1.0',plain,
% 0.43/0.85 ( X1 = difference(X1,difference(X2,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.43/0.85 [weight('<41,31,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.32.2.0',plain,
% 0.43/0.85 ( difference(X1,difference(X2,X2)) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_29]).
% 0.43/0.85 cnf('0.33.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X1),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.32.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.33.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X1),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.43/0.85 [weight('<53,32,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.33.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X1),X2) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_30]).
% 0.43/0.85 cnf('0.34.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X2),X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.33.2.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.34.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X2),X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.43/0.85 [weight('<53,33,4,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.34.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),X1) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_31]).
% 0.43/0.85 cnf('0.35.0.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),X1) = difference(difference(X1,X2),difference(X1,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.34.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.35.0.1',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),X1) = difference(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.35.0.0','0.32.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.35.1.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),X1) = difference(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.43/0.85 [weight('<53,34,3,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.35.1.1',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.35.1.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.35.2.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.43/0.85 [u,rule_32]).
% 0.43/0.85 cnf('0.36.0.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X1,X2)) = multiply(X1,difference(X1,X2)) ),
% 0.43/0.85 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.43/0.85 cnf('0.36.0.1',plain,
% 0.43/0.85 ( difference(X1,multiply(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.36.0.0','0.35.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.36.1.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.43/0.85 [weight('<53,9,35,[0,0,0,0]>')]).
% 0.43/0.85 cnf('0.36.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X1,X2)) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_33]).
% 0.43/0.85 cnf('0.37.0.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,X1)) = multiply(X1,difference(X1,X2)) ),
% 0.43/0.85 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.43/0.85 cnf('0.37.0.1',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,X1)) = difference(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.37.0.0','0.35.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.37.1.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,X1)) = difference(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.43/0.85 [weight('<53,12,35,[0,0,0,0]>')]).
% 0.43/0.85 cnf('0.37.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,X1)) = difference(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_34]).
% 0.43/0.85 cnf('0.39.0.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X1)) = difference(X1,difference(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.37.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.39.0.1',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X1)) = multiply(X1,X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.39.0.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.39.1.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X1)) = multiply(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.43/0.85 [weight('<53,37,3,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.39.2.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X1)) = multiply(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_36]).
% 0.43/0.85 cnf('0.49.0.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X2),difference(difference(X1,X3),X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.49.0.1',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,difference(X1,X3)),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.49.0.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.49.0.2',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.49.0.1','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.1','L')]).
% 0.43/0.85 cnf('0.49.1.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.49.0.2']),
% 0.43/0.85 [weight('<103,4,3,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.49.2.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_46]).
% 0.43/0.85 cnf('0.60.0.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X3)),X3) = multiply(difference(X1,X3),difference(X2,X3)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.49.2.0','0.7.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.60.0.1',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X3)),X3) = difference(multiply(X1,X2),X3) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.60.0.0','0.49.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.60.1.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X3)),X3) = difference(multiply(X1,X2),X3) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.43/0.85 [weight('<103,49,7,[1,0,0,4]>')]).
% 0.43/0.85 cnf('0.60.2.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X3)),X3) = difference(multiply(X1,X2),X3) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_57]).
% 0.43/0.85 cnf('0.80.0.0',plain,
% 0.43/0.85 ( difference(difference(X1,multiply(X2,X3)),difference(X1,multiply(X2,X3))) = difference(difference(X1,X3),difference(X1,multiply(X2,X3))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.34.2.0','0.15.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.80.0.1',plain,
% 0.43/0.85 ( difference(difference(X1,X1),multiply(X2,X3)) = difference(difference(X1,X3),difference(X1,multiply(X2,X3))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.80.0.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.80.0.2',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X3),difference(X1,multiply(X2,X3))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.80.0.1','0.33.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.80.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(difference(X1,X3),difference(X1,multiply(X2,X3))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.80.0.2']),
% 0.43/0.85 [weight('<129,34,15,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.80.2.0',plain,
% 0.43/0.85 ( difference(difference(X1,X2),difference(X1,multiply(X3,X2))) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_76]).
% 0.43/0.85 cnf('0.81.0.0',plain,
% 0.43/0.85 ( difference(X1,X1) = difference(X1,difference(X1,multiply(X2,difference(X3,X1)))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.80.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.81.0.1',plain,
% 0.43/0.85 ( difference(X1,X1) = multiply(X1,multiply(X2,difference(X3,X1))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.81.0.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.81.1.0',plain,
% 0.43/0.85 ( difference(X1,X1) = multiply(X1,multiply(X2,difference(X3,X1))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.81.0.1']),
% 0.43/0.85 [weight('<87,80,1,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.81.2.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,difference(X3,X1))) = difference(X1,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_77]).
% 0.43/0.85 cnf('0.82.0.0',plain,
% 0.43/0.85 ( difference(multiply(X1,difference(X2,X3)),X3) = difference(multiply(X1,difference(X2,X3)),difference(X3,X3)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.37.2.0','0.81.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.82.0.1',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X3) = difference(multiply(X1,difference(X2,X3)),difference(X3,X3)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.82.0.0','0.60.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.82.0.2',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X3) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.82.0.1','0.32.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.82.1.0',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X3) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.82.0.2']),
% 0.43/0.85 [weight('<65,81,37,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.82.2.0',plain,
% 0.43/0.85 ( difference(multiply(X1,X2),X3) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_78]).
% 0.43/0.85 cnf('0.100.0.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = difference(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.43/0.85 cnf('0.100.0.1',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = multiply(X1,difference(X3,X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.100.0.0','0.82.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.100.1.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = multiply(X1,difference(X3,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.100.0.1']),
% 0.43/0.85 [weight('<103,49,82,[0,0,0,0]>')]).
% 0.43/0.85 cnf('0.100.2.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = multiply(X1,difference(X3,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_96]).
% 0.43/0.85 cnf('0.101.0.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),difference(X3,X2)) = multiply(difference(X1,X2),multiply(X3,difference(X1,X2))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.39.2.0','0.100.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.101.0.1',plain,
% 0.43/0.85 ( multiply(X1,difference(X3,X2)) = multiply(difference(X1,X2),multiply(X3,difference(X1,X2))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.101.0.0','0.100.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.101.0.2',plain,
% 0.43/0.85 ( multiply(X1,difference(X3,X2)) = multiply(difference(X1,X2),X3) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.101.0.1','0.39.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.101.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X3,X2)) = multiply(difference(X1,X2),X3) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.101.0.2']),
% 0.43/0.85 [weight('<65,100,39,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.101.2.0',plain,
% 0.43/0.85 ( multiply(difference(X1,X2),X3) = multiply(X1,difference(X3,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_97]).
% 0.43/0.85 cnf('0.103.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,difference(X1,X3))) = multiply(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.101.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.103.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,difference(X1,X3))) = multiply(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.43/0.85 [weight('<103,101,3,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.103.2.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,difference(X1,X3))) = multiply(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_98]).
% 0.43/0.85 cnf('0.104.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,multiply(X1,X3))) = multiply(difference(X1,X3),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.101.2.0','0.36.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.104.0.1',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,multiply(X1,X3))) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.104.0.0','0.101.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.104.1.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,multiply(X1,X3))) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.104.0.1']),
% 0.43/0.85 [weight('<103,101,36,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.104.2.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,multiply(X1,X3))) = multiply(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_99]).
% 0.43/0.85 cnf('0.106.0.0',plain,
% 0.43/0.85 ( difference(X1,difference(X2,X3)) = difference(X1,multiply(X2,difference(X1,X3))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.37.2.0','0.101.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.106.1.0',plain,
% 0.43/0.85 ( difference(X1,difference(X2,X3)) = difference(X1,multiply(X2,difference(X1,X3))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.43/0.85 [weight('<103,101,37,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.106.2.0',plain,
% 0.43/0.85 ( difference(X1,multiply(X2,difference(X1,X3))) = difference(X1,difference(X2,X3)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_101]).
% 0.43/0.85 cnf('0.107.0.0',plain,
% 0.43/0.85 ( multiply(X1,difference(X2,difference(X2,X3))) = multiply(X1,difference(X2,difference(X1,X3))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.104.2.0','0.106.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.107.0.1',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X3)) = multiply(X1,difference(X2,difference(X1,X3))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.107.0.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.107.0.2',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.107.0.1','0.103.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.107.1.0',plain,
% 0.43/0.85 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.107.0.2']),
% 0.43/0.85 [weight('<65,106,104,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.107.2.0',plain,
% 0.43/0.85 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_102]).
% 0.43/0.85 cnf('1.0.0.0',conjecture,
% 0.43/0.85 ( multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_30784_n032',conjecture_1)).
% 0.43/0.85 cnf('1.0.0.1',plain,
% 0.43/0.85 ( multiply(multiply(a,b),c) = multiply(a,multiply(c,b)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2','L')]).
% 0.43/0.85 cnf('1.0.0.2',plain,
% 0.43/0.85 ( multiply(a,multiply(c,b)) = multiply(a,multiply(c,b)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['1.0.0.1','0.107.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('1.0.0.3',plain,
% 0.43/0.85 ( $true ),
% 0.43/0.85 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.43/0.85 [conjecture_1]).
% 0.43/0.85
% 0.43/0.85 Proved Goals:
% 0.43/0.85 No. 1: multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) joined, current: multiply(a,multiply(c,b)) = multiply(a,multiply(c,b))
% 0.43/0.85 1 goal was specified, which was proved.
% 0.43/0.85 % SZS output end CNFRefutation
% 0.43/0.85 #END OF PROOF
% 0.43/0.85
% 0.43/0.85 Problem WALDMEISTER_30784_n032
% 0.43/0.85 CPs.gen 6769
% 0.43/0.85 CPs.reexp 0
% 0.43/0.85 Select 744
% 0.43/0.85 R 102
% 0.43/0.85 E 5
% 0.43/0.85 vsize 6.4M
% 0.43/0.85 rss 3.8M
% 0.43/0.85 process.time 0.026s
% 0.43/0.85 wallclock.time 0.026s
% 0.43/0.85 status S
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Waldmeister states: Goal proved.
% 0.43/0.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------