TSTP Solution File: BOO004-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 23:52:46 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n020.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 : Wed Jun 1 23:24:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.67/1.07 ********************************************************************************
% 0.67/1.07 * W A L D M E I S T E R \| \ / \|/ *
% 0.67/1.07 * |/ | \/ | *
% 0.67/1.07 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.67/1.07 * A. Jaeger and B. Loechner | | *
% 0.67/1.07 * <waldmeister@informatik.uni-kl.de> | *
% 0.67/1.07 ********************************************************************************
% 0.67/1.07
% 0.67/1.07
% 0.67/1.07 Goals:
% 0.67/1.07 ------
% 0.67/1.07
% 0.67/1.07 ( 1) true ?=? sum(x,x,x)
% 0.67/1.07
% 0.67/1.07 Detected structure: Orkus
% 0.67/1.07 ********************************************************************************
% 0.67/1.07 ****************************** COMPLETION - PROOF ******************************
% 0.67/1.07 ********************************************************************************
% 0.67/1.07
% 0.71/1.12 joined goal: 1 true ?= sum(x,x,x) to true
% 0.71/1.12 goal joined
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 #START OF PROOF
% 0.71/1.12 % SZS output start CNFRefutation
% 0.71/1.12 cnf('0.1.0.0',axiom,
% 0.71/1.12 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.1.1.0',plain,
% 0.71/1.12 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.71/1.12 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.1.2.0',plain,
% 0.71/1.12 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_1]).
% 0.71/1.12 cnf('0.2.0.0',axiom,
% 0.71/1.12 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.2.1.0',plain,
% 0.71/1.12 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.71/1.12 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.71/1.12 cnf('0.2.2.0',plain,
% 0.71/1.12 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_2]).
% 0.71/1.12 cnf('0.3.0.0',axiom,
% 0.71/1.12 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.3.1.0',plain,
% 0.71/1.12 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.71/1.12 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.71/1.12 cnf('0.3.2.0',plain,
% 0.71/1.12 ( ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_3]).
% 0.71/1.12 cnf('0.4.0.0',axiom,
% 0.71/1.12 ( X1 = ifeq2(sum(X2,X3,X1),true,ifeq2(sum(X2,X3,X4),true,X4,X1),X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.4.1.0',plain,
% 0.71/1.12 ( X1 = ifeq2(sum(X2,X3,X1),true,ifeq2(sum(X2,X3,X4),true,X4,X1),X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.71/1.12 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.71/1.12 cnf('0.4.2.0',plain,
% 0.71/1.12 ( ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_4]).
% 0.71/1.12 cnf('0.5.0.0',axiom,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.5.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.71/1.12 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.71/1.12 cnf('0.5.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_5]).
% 0.71/1.12 cnf('0.7.0.0',axiom,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.7.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.71/1.12 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.71/1.12 cnf('0.7.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_7]).
% 0.71/1.12 cnf('0.13.0.0',axiom,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.13.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.71/1.12 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.71/1.12 cnf('0.13.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_13]).
% 0.71/1.12 cnf('0.15.0.0',axiom,
% 0.71/1.12 ( true = product(X1,X2,multiply(X1,X2)) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.15.1.0',plain,
% 0.71/1.12 ( true = product(X1,X2,multiply(X1,X2)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.71/1.12 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.71/1.12 cnf('0.15.2.0',plain,
% 0.71/1.12 ( product(X1,X2,multiply(X1,X2)) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_15]).
% 0.71/1.12 cnf('0.16.0.0',axiom,
% 0.71/1.12 ( true = product(X1,multiplicative_identity,X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.16.1.0',plain,
% 0.71/1.12 ( true = product(X1,multiplicative_identity,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.71/1.12 [weight('<15,0,0,[0,0,0,16]>')]).
% 0.71/1.12 cnf('0.16.2.0',plain,
% 0.71/1.12 ( product(X1,multiplicative_identity,X1) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_16]).
% 0.71/1.12 cnf('0.18.0.0',axiom,
% 0.71/1.12 ( true = product(multiplicative_identity,X1,X1) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.18.1.0',plain,
% 0.71/1.12 ( true = product(multiplicative_identity,X1,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.71/1.12 [weight('<17,0,0,[0,0,0,18]>')]).
% 0.71/1.12 cnf('0.18.2.0',plain,
% 0.71/1.12 ( product(multiplicative_identity,X1,X1) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_18]).
% 0.71/1.12 cnf('0.20.0.0',axiom,
% 0.71/1.12 ( true = sum(X1,X2,add(X1,X2)) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.20.1.0',plain,
% 0.71/1.12 ( true = sum(X1,X2,add(X1,X2)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.71/1.12 [weight('<19,0,0,[0,0,0,20]>')]).
% 0.71/1.12 cnf('0.20.2.0',plain,
% 0.71/1.12 ( sum(X1,X2,add(X1,X2)) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_20]).
% 0.71/1.12 cnf('0.22.0.0',axiom,
% 0.71/1.12 ( true = sum(X1,inverse(X1),multiplicative_identity) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020')).
% 0.71/1.12 cnf('0.22.1.0',plain,
% 0.71/1.12 ( true = sum(X1,inverse(X1),multiplicative_identity) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.71/1.12 [weight('<21,0,0,[0,0,0,22]>')]).
% 0.71/1.12 cnf('0.22.2.0',plain,
% 0.71/1.12 ( sum(X1,inverse(X1),multiplicative_identity) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_22]).
% 0.71/1.12 cnf('0.25.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,product(X1,X2,multiply(X2,X1)),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.13.2.0','0.15.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.25.0.1',plain,
% 0.71/1.12 ( true = product(X1,X2,multiply(X2,X1)) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.25.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.25.1.0',plain,
% 0.71/1.12 ( true = product(X1,X2,multiply(X2,X1)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.71/1.12 [weight('<55,15,13,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.25.2.0',plain,
% 0.71/1.12 ( product(X1,X2,multiply(X2,X1)) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_25]).
% 0.71/1.12 cnf('0.27.0.0',plain,
% 0.71/1.12 ( X1 = ifeq2(true,true,ifeq2(product(X1,multiplicative_identity,X2),true,X2,X1),X1) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.3.2.0','0.16.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.27.0.1',plain,
% 0.71/1.12 ( X1 = ifeq2(product(X1,multiplicative_identity,X2),true,X2,X1) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.27.0.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.27.1.0',plain,
% 0.71/1.12 ( X1 = ifeq2(product(X1,multiplicative_identity,X2),true,X2,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.71/1.12 [weight('<89,16,3,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.27.2.0',plain,
% 0.71/1.12 ( ifeq2(product(X1,multiplicative_identity,X2),true,X2,X1) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_27]).
% 0.71/1.12 cnf('0.30.0.0',plain,
% 0.71/1.12 ( X1 = ifeq2(true,true,multiply(multiplicative_identity,X1),X1) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.27.2.0','0.25.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.30.0.1',plain,
% 0.71/1.12 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.30.0.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.30.1.0',plain,
% 0.71/1.12 ( X1 = multiply(multiplicative_identity,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.71/1.12 [weight('<19,27,25,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.30.2.0',plain,
% 0.71/1.12 ( multiply(multiplicative_identity,X1) = X1 ),
% 0.71/1.12 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_30]).
% 0.71/1.12 cnf('0.47.0.0',plain,
% 0.71/1.12 ( multiplicative_identity = ifeq2(true,true,ifeq2(sum(X1,inverse(X1),X2),true,X2,multiplicative_identity),multiplicative_identity) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.4.2.0','0.22.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.47.0.1',plain,
% 0.71/1.12 ( multiplicative_identity = ifeq2(sum(X1,inverse(X1),X2),true,X2,multiplicative_identity) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.47.0.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.47.1.0',plain,
% 0.71/1.12 ( multiplicative_identity = ifeq2(sum(X1,inverse(X1),X2),true,X2,multiplicative_identity) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.71/1.12 [weight('<109,22,4,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.47.2.0',plain,
% 0.71/1.12 ( ifeq2(sum(X1,inverse(X1),X2),true,X2,multiplicative_identity) = multiplicative_identity ),
% 0.71/1.12 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_47]).
% 0.71/1.12 cnf('0.95.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,multiplicative_identity),true,ifeq(sum(X4,X1,X5),true,sum(X4,X3,X5),true),true),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.5.2.0','0.16.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.95.0.1',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,multiplicative_identity),true,ifeq(sum(X4,X1,X5),true,sum(X4,X3,X5),true),true),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.95.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.95.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,multiplicative_identity),true,ifeq(sum(X4,X1,X5),true,sum(X4,X3,X5),true),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.95.0.1']),
% 0.71/1.12 [weight('<701,16,5,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.95.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,multiplicative_identity),true,ifeq(sum(X4,X1,X5),true,sum(X4,X3,X5),true),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_93]).
% 0.71/1.12 cnf('0.99.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,ifeq(sum(X1,X2,multiplicative_identity),true,ifeq(sum(X1,multiplicative_identity,X3),true,sum(X1,X2,X3),true),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.95.2.0','0.18.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.99.0.1',plain,
% 0.71/1.12 ( true = ifeq(sum(X1,X2,multiplicative_identity),true,ifeq(sum(X1,multiplicative_identity,X3),true,sum(X1,X2,X3),true),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.99.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.99.1.0',plain,
% 0.71/1.12 ( true = ifeq(sum(X1,X2,multiplicative_identity),true,ifeq(sum(X1,multiplicative_identity,X3),true,sum(X1,X2,X3),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.99.0.1']),
% 0.71/1.12 [weight('<379,95,18,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.99.2.0',plain,
% 0.71/1.12 ( ifeq(sum(X1,X2,multiplicative_identity),true,ifeq(sum(X1,multiplicative_identity,X3),true,sum(X1,X2,X3),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_97]).
% 0.71/1.12 cnf('0.110.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,ifeq(sum(X1,multiplicative_identity,X2),true,sum(X1,inverse(X1),X2),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.99.2.0','0.22.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.110.0.1',plain,
% 0.71/1.12 ( true = ifeq(sum(X1,multiplicative_identity,X2),true,sum(X1,inverse(X1),X2),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.110.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.110.1.0',plain,
% 0.71/1.12 ( true = ifeq(sum(X1,multiplicative_identity,X2),true,sum(X1,inverse(X1),X2),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.110.0.1']),
% 0.71/1.12 [weight('<181,99,22,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.110.2.0',plain,
% 0.71/1.12 ( ifeq(sum(X1,multiplicative_identity,X2),true,sum(X1,inverse(X1),X2),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_108]).
% 0.71/1.12 cnf('0.111.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,sum(X1,inverse(X1),add(X1,multiplicative_identity)),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.110.2.0','0.20.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.111.0.1',plain,
% 0.71/1.12 ( true = sum(X1,inverse(X1),add(X1,multiplicative_identity)) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.111.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.111.1.0',plain,
% 0.71/1.12 ( true = sum(X1,inverse(X1),add(X1,multiplicative_identity)) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.111.0.1']),
% 0.71/1.12 [weight('<71,110,20,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.111.2.0',plain,
% 0.71/1.12 ( sum(X1,inverse(X1),add(X1,multiplicative_identity)) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_109]).
% 0.71/1.12 cnf('0.112.0.0',plain,
% 0.71/1.12 ( multiplicative_identity = ifeq2(true,true,add(X1,multiplicative_identity),multiplicative_identity) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.47.2.0','0.111.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.112.0.1',plain,
% 0.71/1.12 ( multiplicative_identity = add(X1,multiplicative_identity) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.112.0.0','0.2.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.112.1.0',plain,
% 0.71/1.12 ( multiplicative_identity = add(X1,multiplicative_identity) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.112.0.1']),
% 0.71/1.12 [weight('<19,111,47,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.112.2.0',plain,
% 0.71/1.12 ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.71/1.12 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_110]).
% 0.71/1.12 cnf('0.114.0.0',plain,
% 0.71/1.12 ( true = sum(X1,multiplicative_identity,multiplicative_identity) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.20.2.0','0.112.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.3','L')]).
% 0.71/1.12 cnf('0.114.1.0',plain,
% 0.71/1.12 ( true = sum(X1,multiplicative_identity,multiplicative_identity) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.114.0.0']),
% 0.71/1.12 [weight('<29,112,20,[0,0,0,3]>')]).
% 0.71/1.12 cnf('0.114.2.0',plain,
% 0.71/1.12 ( sum(X1,multiplicative_identity,multiplicative_identity) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_112]).
% 0.71/1.12 cnf('0.319.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X4,X1,X6),true,sum(X5,X3,multiply(X6,X2)),true),true),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.7.2.0','0.15.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.319.0.1',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X4,X1,X6),true,sum(X5,X3,multiply(X6,X2)),true),true),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.319.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.319.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X4,X1,X6),true,sum(X5,X3,multiply(X6,X2)),true),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.319.0.1']),
% 0.71/1.12 [weight('<?,15,7,[0,0,0,1]>')]).
% 0.71/1.12 cnf('0.319.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X4,X1,X6),true,sum(X5,X3,multiply(X6,X2)),true),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_317]).
% 0.71/1.12 cnf('0.327.0.0',plain,
% 0.71/1.12 ( true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(true,true,sum(X4,X2,multiply(multiplicative_identity,X1)),true),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.319.2.0','0.114.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.3.3.1','L')]).
% 0.71/1.12 cnf('0.327.0.1',plain,
% 0.71/1.12 ( true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,sum(X4,X2,multiply(multiplicative_identity,X1)),true),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.327.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.3.3','L')]).
% 0.71/1.12 cnf('0.327.0.2',plain,
% 0.71/1.12 ( true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,sum(X4,X2,X1),true),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.327.0.1','0.30.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.3.3.3','L')]).
% 0.71/1.12 cnf('0.327.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,sum(X4,X2,X1),true),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.327.0.2']),
% 0.71/1.12 [weight('<379,319,114,[1,0,0,13]>')]).
% 0.71/1.12 cnf('0.327.2.0',plain,
% 0.71/1.12 ( ifeq(product(multiplicative_identity,X1,X2),true,ifeq(product(X3,X1,X4),true,sum(X4,X2,X1),true),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.327.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_325]).
% 0.71/1.12 cnf('0.328.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,ifeq(product(X1,X2,X3),true,sum(X3,multiply(multiplicative_identity,X2),X2),true),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.327.2.0','0.15.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.328.0.1',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,sum(X3,multiply(multiplicative_identity,X2),X2),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.328.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.328.0.2',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,sum(X3,X2,X2),true) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.328.0.1','0.30.2.0',theory(equality)]),
% 0.71/1.12 [pos('R.3.2','L')]).
% 0.71/1.12 cnf('0.328.1.0',plain,
% 0.71/1.12 ( true = ifeq(product(X1,X2,X3),true,sum(X3,X2,X2),true) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.328.0.2']),
% 0.71/1.12 [weight('<155,327,15,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.328.2.0',plain,
% 0.71/1.12 ( ifeq(product(X1,X2,X3),true,sum(X3,X2,X2),true) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.328.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_326]).
% 0.71/1.12 cnf('0.329.0.0',plain,
% 0.71/1.12 ( true = ifeq(true,true,sum(X1,X1,X1),true) ),
% 0.71/1.12 inference(cp,[status(thm)],['0.328.2.0','0.18.2.0',theory(equality)]),
% 0.71/1.12 [pos('L.1','L')]).
% 0.71/1.12 cnf('0.329.0.1',plain,
% 0.71/1.12 ( true = sum(X1,X1,X1) ),
% 0.71/1.12 inference(reduction,[status(thm)],['0.329.0.0','0.1.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('0.329.1.0',plain,
% 0.71/1.12 ( true = sum(X1,X1,X1) ),
% 0.71/1.12 inference(weigh,[status(thm)],['0.329.0.1']),
% 0.71/1.12 [weight('<29,328,18,[1,0,0,1]>')]).
% 0.71/1.12 cnf('0.329.2.0',plain,
% 0.71/1.12 ( sum(X1,X1,X1) = true ),
% 0.71/1.12 inference(orient,[status(thm)],['0.329.1.0',theory(equality)]),
% 0.71/1.12 [x,rule_327]).
% 0.71/1.12 cnf('1.0.0.0',conjecture,
% 0.71/1.12 ( true = sum(x,x,x) ),
% 0.71/1.12 file('/tmp/WALDMEISTER_1920_n020',conjecture_1)).
% 0.71/1.12 cnf('1.0.0.1',plain,
% 0.71/1.12 ( true = true ),
% 0.71/1.12 inference(reduction,[status(thm)],['1.0.0.0','0.329.2.0',theory(equality)]),
% 0.71/1.12 [pos('R','L')]).
% 0.71/1.12 cnf('1.0.0.2',plain,
% 0.71/1.12 ( $true ),
% 0.71/1.12 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.71/1.12 [conjecture_1]).
% 0.71/1.12
% 0.71/1.12 Proved Goals:
% 0.71/1.12 No. 1: true ?= sum(x,x,x) joined, current: true = true
% 0.71/1.12 1 goal was specified, which was proved.
% 0.71/1.12 % SZS output end CNFRefutation
% 0.71/1.12 #END OF PROOF
% 0.71/1.12
% 0.71/1.12 Problem WALDMEISTER_1920_n020
% 0.71/1.12 CPs.gen 5657
% 0.71/1.12 CPs.reexp 0
% 0.71/1.12 Select 621
% 0.71/1.12 R 327
% 0.71/1.12 E 2
% 0.71/1.12 vsize 6.8M
% 0.71/1.12 rss 3.9M
% 0.71/1.12 process.time 0.051s
% 0.71/1.12 wallclock.time 0.051s
% 0.71/1.12 status S
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Waldmeister states: Goal proved.
% 0.71/1.12 % SZS status Unsatisfiable
%------------------------------------------------------------------------------