TSTP Solution File: BOO007-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:52:47 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
% 0.12/0.12 % Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 17:52:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) multiply(multiply(a,b),c) ?=? multiply(a,multiply(b,c))
% 0.60/0.99
% 0.60/0.99 Detected structure: BoolescheAlgebra
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.62/1.03 joined goal: 1 multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) to multiply(c,multiply(b,a))
% 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('0.3.0.0',axiom,
% 0.62/1.03 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.3.1.0',plain,
% 0.62/1.03 ( X1 = multiply(X1,multiplicative_identity) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.03 cnf('0.3.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiplicative_identity) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_3]).
% 0.62/1.03 cnf('0.4.0.0',axiom,
% 0.62/1.03 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.4.1.0',plain,
% 0.62/1.03 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.03 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.4.2.0',plain,
% 0.62/1.03 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_4]).
% 0.62/1.03 cnf('0.5.0.0',axiom,
% 0.62/1.03 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.5.1.0',plain,
% 0.62/1.03 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.03 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.03 cnf('0.5.2.0',plain,
% 0.62/1.03 ( add(X1,X2) = add(X2,X1) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.5.1.0']),
% 0.62/1.03 [equation_1]).
% 0.62/1.03 cnf('0.6.0.0',axiom,
% 0.62/1.03 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.6.1.0',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.03 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.03 cnf('0.6.2.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_5]).
% 0.62/1.03 cnf('0.7.0.0',axiom,
% 0.62/1.03 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.7.1.0',plain,
% 0.62/1.03 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.03 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.62/1.03 cnf('0.7.2.0',plain,
% 0.62/1.03 ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.62/1.03 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_6]).
% 0.62/1.03 cnf('0.8.0.0',axiom,
% 0.62/1.03 ( add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.8.1.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.03 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.62/1.03 cnf('0.8.2.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_7]).
% 0.62/1.03 cnf('0.9.0.0',axiom,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.9.1.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.03 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/1.03 cnf('0.9.2.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_8]).
% 0.62/1.03 cnf('0.10.0.0',axiom,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.10.1.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.62/1.03 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.62/1.03 cnf('0.10.2.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_9]).
% 0.62/1.03 cnf('0.11.0.0',axiom,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029')).
% 0.62/1.03 cnf('0.11.1.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.03 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.62/1.03 cnf('0.11.2.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.11.1.0']),
% 0.62/1.03 [equation_2]).
% 0.62/1.03 cnf('0.15.0.0',plain,
% 0.62/1.03 ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.15.1.0',plain,
% 0.62/1.03 ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.62/1.03 [weight('<5,9,4,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.15.2.0',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_13]).
% 0.62/1.03 cnf('0.16.0.0',plain,
% 0.62/1.03 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.16.1.0',plain,
% 0.62/1.03 ( multiply(X1,add(multiplicative_identity,X2)) = add(X1,multiply(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.03 [weight('<5,10,3,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.16.2.0',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_14]).
% 0.62/1.03 cnf('0.20.0.0',plain,
% 0.62/1.03 ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.20.0.1',plain,
% 0.62/1.03 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.20.1.0',plain,
% 0.62/1.03 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.62/1.03 [weight('<6,7,6,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.20.2.0',plain,
% 0.62/1.03 ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_18]).
% 0.62/1.03 cnf('0.21.0.0',plain,
% 0.62/1.03 ( add(X1,multiplicative_identity) = add(X1,inverse(X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.21.0.1',plain,
% 0.62/1.03 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.21.1.0',plain,
% 0.62/1.03 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.62/1.03 [weight('<3,20,3,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.21.2.0',plain,
% 0.62/1.03 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.62/1.03 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_19]).
% 0.62/1.03 cnf('0.23.0.0',plain,
% 0.62/1.03 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.21.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.23.1.0',plain,
% 0.62/1.03 ( multiplicative_identity = add(multiplicative_identity,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.62/1.03 [weight('<3,21,5,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.23.2.0',plain,
% 0.62/1.03 ( add(multiplicative_identity,X1) = multiplicative_identity ),
% 0.62/1.03 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_21]).
% 0.62/1.03 cnf('0.25.0.0',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.62/1.03 cnf('0.25.0.1',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = multiply(multiplicative_identity,X1) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.25.0.0','0.23.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.25.0.2',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.25.0.1','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.25.1.0',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.62/1.03 [weight('<5,15,23,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.25.2.0',plain,
% 0.62/1.03 ( add(X1,multiply(X2,X1)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_23]).
% 0.62/1.03 cnf('0.26.0.0',plain,
% 0.62/1.03 ( X1 = add(X1,X1) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.25.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.26.1.0',plain,
% 0.62/1.03 ( X1 = add(X1,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.62/1.03 [weight('<3,25,4,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.26.2.0',plain,
% 0.62/1.03 ( add(X1,X1) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_24]).
% 0.62/1.03 cnf('0.27.0.0',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = multiply(X1,add(multiplicative_identity,X2)) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.16.2.0'])).
% 0.62/1.03 cnf('0.27.0.1',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = multiply(X1,multiplicative_identity) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.27.0.0','0.23.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.27.0.2',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.27.0.1','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.27.1.0',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.62/1.03 [weight('<5,16,23,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.27.2.0',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_25]).
% 0.62/1.03 cnf('0.31.0.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),X1) = multiply(X1,add(X2,X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.31.1.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),X1) = multiply(X1,add(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.62/1.03 [weight('<5,26,8,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.31.1.1',plain,
% 0.62/1.03 ( add(X1,multiply(X1,X2)) = multiply(X1,add(X2,X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.31.1.0','0.5.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.31.1.2',plain,
% 0.62/1.03 ( X1 = multiply(X1,add(X2,X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.31.1.1','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.31.2.0',plain,
% 0.62/1.03 ( multiply(X1,add(X2,X1)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.31.1.2',theory(equality)]),
% 0.62/1.03 [x,rule_29]).
% 0.62/1.03 cnf('0.34.0.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(multiply(X1,X2),X2) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.31.2.0','0.25.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.34.1.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(multiply(X1,X2),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.62/1.03 [weight('<5,31,25,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.34.1.1',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,multiply(X1,X2)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.34.1.0','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.34.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X1)) = multiply(X2,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.34.1.1',theory(equality)]),
% 0.62/1.03 [x,rule_32]).
% 0.62/1.03 cnf('0.59.0.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),X3) = add(multiply(X3,X1),multiply(X2,X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.9.2.0','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.59.1.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),X3) = add(multiply(X3,X1),multiply(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.62/1.03 [weight('<7,11,9,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.59.2.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X3,X1)) = multiply(add(X2,X3),X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_57]).
% 0.62/1.03 cnf('0.60.0.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X3,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.9.2.0','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.60.1.0',plain,
% 0.62/1.03 ( multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X3,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.62/1.03 [weight('<7,11,9,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.60.2.0',plain,
% 0.62/1.03 ( add(multiply(X1,X2),multiply(X2,X3)) = multiply(add(X1,X3),X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_58]).
% 0.62/1.03 cnf('0.78.0.0',plain,
% 0.62/1.03 ( multiply(X1,add(multiply(X2,X1),X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.10.2.0','0.34.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.78.1.0',plain,
% 0.62/1.03 ( multiply(X1,add(multiply(X2,X1),X3)) = add(multiply(X2,X1),multiply(X1,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.62/1.03 [weight('<7,34,10,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.78.1.1',plain,
% 0.62/1.03 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(add(X2,X3),X1) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.78.1.0','0.60.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.78.2.0',plain,
% 0.62/1.03 ( multiply(X1,add(multiply(X2,X1),X3)) = multiply(add(X2,X3),X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.78.1.1',theory(equality)]),
% 0.62/1.03 [u,rule_76]).
% 0.62/1.03 cnf('0.121.0.0',plain,
% 0.62/1.03 ( multiply(add(X1,multiply(X1,X2)),X3) = multiply(X3,multiply(X1,add(X3,X2))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.78.2.0','0.10.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.121.0.1',plain,
% 0.62/1.03 ( multiply(X1,X3) = multiply(X3,multiply(X1,add(X3,X2))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.121.0.0','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.121.1.0',plain,
% 0.62/1.03 ( multiply(X1,X3) = multiply(X3,multiply(X1,add(X3,X2))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.121.0.1']),
% 0.62/1.03 [weight('<7,78,10,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.121.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,add(X1,X3))) = multiply(X2,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_118]).
% 0.62/1.03 cnf('0.122.0.0',plain,
% 0.62/1.03 ( multiply(add(X1,multiply(X2,X1)),X3) = multiply(X3,multiply(add(X3,X2),X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.78.2.0','0.59.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.122.0.1',plain,
% 0.62/1.03 ( multiply(X1,X3) = multiply(X3,multiply(add(X3,X2),X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.122.0.0','0.25.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.122.1.0',plain,
% 0.62/1.03 ( multiply(X1,X3) = multiply(X3,multiply(add(X3,X2),X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.122.0.1']),
% 0.62/1.03 [weight('<7,78,59,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.122.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(add(X1,X2),X3)) = multiply(X3,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_119]).
% 0.62/1.03 cnf('0.125.0.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,multiply(X1,add(X3,X2))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.121.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2','L')]).
% 0.62/1.03 cnf('0.125.1.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,multiply(X1,add(X3,X2))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.62/1.03 [weight('<7,121,5,[1,0,0,4]>')]).
% 0.62/1.03 cnf('0.125.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,add(X3,X1))) = multiply(X2,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_122]).
% 0.62/1.03 cnf('0.126.0.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,multiply(add(X3,X2),X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.122.2.0','0.5.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.1','L')]).
% 0.62/1.03 cnf('0.126.1.0',plain,
% 0.62/1.03 ( multiply(X1,X2) = multiply(X2,multiply(add(X3,X2),X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.126.0.0']),
% 0.62/1.03 [weight('<7,122,5,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.126.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(add(X2,X1),X3)) = multiply(X3,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_123]).
% 0.62/1.03 cnf('0.132.0.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X3),multiply(X1,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.125.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2','L')]).
% 0.62/1.03 cnf('0.132.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X3),multiply(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.132.0.0']),
% 0.62/1.03 [weight('<7,125,27,[1,0,0,4]>')]).
% 0.62/1.03 cnf('0.132.2.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),multiply(X3,X1)) = multiply(X3,multiply(X1,X2)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_129]).
% 0.62/1.03 cnf('0.133.0.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X3),multiply(X3,X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.126.2.0','0.25.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.1','L')]).
% 0.62/1.03 cnf('0.133.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X2,X3),multiply(X3,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.133.0.0']),
% 0.62/1.03 [weight('<7,126,25,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.133.2.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),multiply(X2,X3)) = multiply(X3,multiply(X1,X2)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_130]).
% 0.62/1.03 cnf('0.137.0.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(X2,X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.132.2.0','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.137.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),multiply(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.137.0.0']),
% 0.62/1.03 [weight('<7,132,11,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.137.1.1',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X1,X2)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.137.1.0','0.133.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.137.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X1,X2)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.137.1.1']),
% 0.62/1.03 [equation_5]).
% 0.62/1.03 cnf('1.0.0.0',conjecture,
% 0.62/1.03 ( multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_26347_n029',conjecture_1)).
% 0.62/1.03 cnf('1.0.0.1',plain,
% 0.62/1.03 ( multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('1.0.0.2',plain,
% 0.62/1.03 ( multiply(c,multiply(b,a)) = multiply(a,multiply(b,c)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.1','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('1.0.0.3',plain,
% 0.62/1.03 ( multiply(c,multiply(b,a)) = multiply(b,multiply(c,a)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.2','0.137.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','R')]).
% 0.62/1.03 cnf('1.0.0.4',plain,
% 0.62/1.03 ( multiply(c,multiply(b,a)) = multiply(c,multiply(a,b)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.3','0.137.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','R')]).
% 0.62/1.03 cnf('1.0.0.5',plain,
% 0.62/1.03 ( multiply(c,multiply(b,a)) = multiply(c,multiply(b,a)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.4','0.11.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('1.0.0.6',plain,
% 0.62/1.03 ( $true ),
% 0.62/1.03 inference(trivial,[status(thm)],['1.0.0.5',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(a,b),c) ?= multiply(a,multiply(b,c)) joined, current: multiply(c,multiply(b,a)) = multiply(c,multiply(b,a))
% 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_26347_n029
% 0.62/1.03 CPs.gen 11051
% 0.62/1.03 CPs.reexp 0
% 0.62/1.03 Select 1129
% 0.62/1.03 R 132
% 0.62/1.03 E 5
% 0.62/1.03 vsize 6.5M
% 0.62/1.03 rss 3.8M
% 0.62/1.03 process.time 0.038s
% 0.62/1.03 wallclock.time 0.038s
% 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
%------------------------------------------------------------------------------