TSTP Solution File: BOO017-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 23:52:51 EDT 2022
% Result : Unsatisfiable 3.21s 3.63s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO017-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n028.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 21:34:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) true ?=? product(x,z,x)
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 3.21/3.63 joined goal: 1 true ?= product(x,z,x) to true
% 3.21/3.63 goal joined
% 3.21/3.63 % SZS status Unsatisfiable
% 3.21/3.63 #START OF PROOF
% 3.21/3.63 % SZS output start CNFRefutation
% 3.21/3.63 cnf('0.1.0.0',axiom,
% 3.21/3.63 ( X1 = ifeq(X2,X2,X1,X3) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.1.1.0',plain,
% 3.21/3.63 ( X1 = ifeq(X2,X2,X1,X3) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.1.0.0']),
% 3.21/3.63 [weight('<0,0,0,[0,0,0,1]>')]).
% 3.21/3.63 cnf('0.1.2.0',plain,
% 3.21/3.63 ( ifeq(X1,X1,X2,X3) = X2 ),
% 3.21/3.63 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_1]).
% 3.21/3.63 cnf('0.2.0.0',axiom,
% 3.21/3.63 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.2.1.0',plain,
% 3.21/3.63 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.2.0.0']),
% 3.21/3.63 [weight('<1,0,0,[0,0,0,2]>')]).
% 3.21/3.63 cnf('0.2.2.0',plain,
% 3.21/3.63 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 3.21/3.63 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_2]).
% 3.21/3.63 cnf('0.4.0.0',axiom,
% 3.21/3.63 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.4.1.0',plain,
% 3.21/3.63 ( X1 = ifeq2(product(X2,X3,X1),true,ifeq2(product(X2,X3,X4),true,X4,X1),X1) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.4.0.0']),
% 3.21/3.63 [weight('<3,0,0,[0,0,0,4]>')]).
% 3.21/3.63 cnf('0.4.2.0',plain,
% 3.21/3.63 ( ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3 ),
% 3.21/3.63 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_4]).
% 3.21/3.63 cnf('0.6.0.0',axiom,
% 3.21/3.63 ( true = ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.6.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.6.0.0']),
% 3.21/3.63 [weight('<5,0,0,[0,0,0,6]>')]).
% 3.21/3.63 cnf('0.6.2.0',plain,
% 3.21/3.63 ( ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_6]).
% 3.21/3.63 cnf('0.10.0.0',axiom,
% 3.21/3.63 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.10.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.10.0.0']),
% 3.21/3.63 [weight('<9,0,0,[0,0,0,10]>')]).
% 3.21/3.63 cnf('0.10.2.0',plain,
% 3.21/3.63 ( ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_10]).
% 3.21/3.63 cnf('0.16.0.0',axiom,
% 3.21/3.63 ( true = sum(X1,additive_identity,X1) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.16.1.0',plain,
% 3.21/3.63 ( true = sum(X1,additive_identity,X1) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.16.0.0']),
% 3.21/3.63 [weight('<15,0,0,[0,0,0,16]>')]).
% 3.21/3.63 cnf('0.16.2.0',plain,
% 3.21/3.63 ( sum(X1,additive_identity,X1) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_16]).
% 3.21/3.63 cnf('0.18.0.0',axiom,
% 3.21/3.63 ( true = sum(additive_identity,X1,X1) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.18.1.0',plain,
% 3.21/3.63 ( true = sum(additive_identity,X1,X1) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.18.0.0']),
% 3.21/3.63 [weight('<17,0,0,[0,0,0,18]>')]).
% 3.21/3.63 cnf('0.18.2.0',plain,
% 3.21/3.63 ( sum(additive_identity,X1,X1) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_18]).
% 3.21/3.63 cnf('0.20.0.0',axiom,
% 3.21/3.63 ( true = sum(x,y,z) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.20.1.0',plain,
% 3.21/3.63 ( true = sum(x,y,z) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.20.0.0']),
% 3.21/3.63 [weight('<19,0,0,[0,0,0,20]>')]).
% 3.21/3.63 cnf('0.20.2.0',plain,
% 3.21/3.63 ( sum(x,y,z) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_20]).
% 3.21/3.63 cnf('0.21.0.0',axiom,
% 3.21/3.63 ( true = product(X1,X2,multiply(X1,X2)) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.21.1.0',plain,
% 3.21/3.63 ( true = product(X1,X2,multiply(X1,X2)) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.21.0.0']),
% 3.21/3.63 [weight('<20,0,0,[0,0,0,21]>')]).
% 3.21/3.63 cnf('0.21.2.0',plain,
% 3.21/3.63 ( product(X1,X2,multiply(X1,X2)) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_21]).
% 3.21/3.63 cnf('0.25.0.0',axiom,
% 3.21/3.63 ( true = product(inverse(X1),X1,additive_identity) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028')).
% 3.21/3.63 cnf('0.25.1.0',plain,
% 3.21/3.63 ( true = product(inverse(X1),X1,additive_identity) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.25.0.0']),
% 3.21/3.63 [weight('<24,0,0,[0,0,0,25]>')]).
% 3.21/3.63 cnf('0.25.2.0',plain,
% 3.21/3.63 ( product(inverse(X1),X1,additive_identity) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_25]).
% 3.21/3.63 cnf('0.59.0.0',plain,
% 3.21/3.63 ( additive_identity = ifeq2(true,true,ifeq2(product(inverse(X1),X1,X2),true,X2,additive_identity),additive_identity) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.4.2.0','0.25.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.1','L')]).
% 3.21/3.63 cnf('0.59.0.1',plain,
% 3.21/3.63 ( additive_identity = ifeq2(product(inverse(X1),X1,X2),true,X2,additive_identity) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.59.0.0','0.2.2.0',theory(equality)]),
% 3.21/3.63 [pos('R','L')]).
% 3.21/3.63 cnf('0.59.1.0',plain,
% 3.21/3.63 ( additive_identity = ifeq2(product(inverse(X1),X1,X2),true,X2,additive_identity) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.59.0.1']),
% 3.21/3.63 [weight('<109,25,4,[0,0,0,1]>')]).
% 3.21/3.63 cnf('0.59.2.0',plain,
% 3.21/3.63 ( ifeq2(product(inverse(X1),X1,X2),true,X2,additive_identity) = additive_identity ),
% 3.21/3.63 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_59]).
% 3.21/3.63 cnf('0.141.0.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(true,true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X4,X3),true),true),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3.1','L')]).
% 3.21/3.63 cnf('0.141.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X4,X3),true),true),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.141.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R.3','L')]).
% 3.21/3.63 cnf('0.141.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X4,X3),true),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.141.0.1']),
% 3.21/3.63 [weight('<701,16,6,[0,0,0,7]>')]).
% 3.21/3.63 cnf('0.141.2.0',plain,
% 3.21/3.63 ( ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X4,X3),true),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_139]).
% 3.21/3.63 cnf('0.235.0.0',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,X1,additive_identity),true,ifeq(sum(X2,X1,X3),true,ifeq(true,true,product(X2,X3,X2),true),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.141.2.0','0.16.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3.3.1','L')]).
% 3.21/3.63 cnf('0.235.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,X1,additive_identity),true,ifeq(sum(X2,X1,X3),true,product(X2,X3,X2),true),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.235.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R.3.3','L')]).
% 3.21/3.63 cnf('0.235.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,X1,additive_identity),true,ifeq(sum(X2,X1,X3),true,product(X2,X3,X2),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.235.0.1']),
% 3.21/3.63 [weight('<379,141,16,[1,0,0,13]>')]).
% 3.21/3.63 cnf('0.235.2.0',plain,
% 3.21/3.63 ( ifeq(product(additive_identity,X1,additive_identity),true,ifeq(sum(X2,X1,X3),true,product(X2,X3,X2),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_233]).
% 3.21/3.63 cnf('0.237.0.0',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,y,additive_identity),true,ifeq(true,true,product(x,z,x),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.235.2.0','0.20.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3.1','L')]).
% 3.21/3.63 cnf('0.237.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,y,additive_identity),true,product(x,z,x),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.237.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R.3','L')]).
% 3.21/3.63 cnf('0.237.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,y,additive_identity),true,product(x,z,x),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.237.0.1']),
% 3.21/3.63 [weight('<155,235,20,[1,0,0,7]>')]).
% 3.21/3.63 cnf('0.237.2.0',plain,
% 3.21/3.63 ( ifeq(product(additive_identity,y,additive_identity),true,product(x,z,x),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_235]).
% 3.21/3.63 cnf('0.1748.0.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X4),true,ifeq(true,true,ifeq(sum(X3,X1,X5),true,product(X5,X2,X4),true),true),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3.3.1','L')]).
% 3.21/3.63 cnf('0.1748.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X2,X4),true),true),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.1748.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R.3.3','L')]).
% 3.21/3.63 cnf('0.1748.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X2,X4),true),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.1748.0.1']),
% 3.21/3.63 [weight('<?,16,10,[0,0,0,13]>')]).
% 3.21/3.63 cnf('0.1748.2.0',plain,
% 3.21/3.63 ( ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X2,X4),true),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.1748.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_1746]).
% 3.21/3.63 cnf('0.3614.0.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(additive_identity,X2,X3),true,ifeq(true,true,product(X1,X2,X3),true),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.1748.2.0','0.18.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3.3.1','L')]).
% 3.21/3.63 cnf('0.3614.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(additive_identity,X2,X3),true,product(X1,X2,X3),true),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3614.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R.3.3','L')]).
% 3.21/3.63 cnf('0.3614.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(additive_identity,X2,X3),true,product(X1,X2,X3),true),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3614.0.1']),
% 3.21/3.63 [weight('<379,1748,18,[1,0,0,13]>')]).
% 3.21/3.63 cnf('0.3614.2.0',plain,
% 3.21/3.63 ( ifeq(product(X1,X2,additive_identity),true,ifeq(product(additive_identity,X2,X3),true,product(X1,X2,X3),true),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3614.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_3577]).
% 3.21/3.63 cnf('0.3616.0.0',plain,
% 3.21/3.63 ( true = ifeq(true,true,ifeq(product(additive_identity,X1,X2),true,product(inverse(X1),X1,X2),true),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.3614.2.0','0.25.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.1','L')]).
% 3.21/3.63 cnf('0.3616.0.1',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,X1,X2),true,product(inverse(X1),X1,X2),true) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3616.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R','L')]).
% 3.21/3.63 cnf('0.3616.1.0',plain,
% 3.21/3.63 ( true = ifeq(product(additive_identity,X1,X2),true,product(inverse(X1),X1,X2),true) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3616.0.1']),
% 3.21/3.63 [weight('<181,3614,25,[1,0,0,1]>')]).
% 3.21/3.63 cnf('0.3616.2.0',plain,
% 3.21/3.63 ( ifeq(product(additive_identity,X1,X2),true,product(inverse(X1),X1,X2),true) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3616.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_3579]).
% 3.21/3.63 cnf('0.3617.0.0',plain,
% 3.21/3.63 ( true = ifeq(true,true,product(inverse(X1),X1,multiply(additive_identity,X1)),true) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.3616.2.0','0.21.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.1','L')]).
% 3.21/3.63 cnf('0.3617.0.1',plain,
% 3.21/3.63 ( true = product(inverse(X1),X1,multiply(additive_identity,X1)) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3617.0.0','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('R','L')]).
% 3.21/3.63 cnf('0.3617.1.0',plain,
% 3.21/3.63 ( true = product(inverse(X1),X1,multiply(additive_identity,X1)) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3617.0.1']),
% 3.21/3.63 [weight('<71,3616,21,[1,0,0,1]>')]).
% 3.21/3.63 cnf('0.3617.2.0',plain,
% 3.21/3.63 ( product(inverse(X1),X1,multiply(additive_identity,X1)) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3617.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_3580]).
% 3.21/3.63 cnf('0.3618.0.0',plain,
% 3.21/3.63 ( additive_identity = ifeq2(true,true,multiply(additive_identity,X1),additive_identity) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.59.2.0','0.3617.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.1','L')]).
% 3.21/3.63 cnf('0.3618.0.1',plain,
% 3.21/3.63 ( additive_identity = multiply(additive_identity,X1) ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3618.0.0','0.2.2.0',theory(equality)]),
% 3.21/3.63 [pos('R','L')]).
% 3.21/3.63 cnf('0.3618.1.0',plain,
% 3.21/3.63 ( additive_identity = multiply(additive_identity,X1) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3618.0.1']),
% 3.21/3.63 [weight('<19,3617,59,[0,0,0,1]>')]).
% 3.21/3.63 cnf('0.3618.2.0',plain,
% 3.21/3.63 ( multiply(additive_identity,X1) = additive_identity ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3618.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_3581]).
% 3.21/3.63 cnf('0.3624.0.0',plain,
% 3.21/3.63 ( true = product(additive_identity,X1,additive_identity) ),
% 3.21/3.63 inference(cp,[status(thm)],['0.21.2.0','0.3618.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.3','L')]).
% 3.21/3.63 cnf('0.3624.1.0',plain,
% 3.21/3.63 ( true = product(additive_identity,X1,additive_identity) ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3624.0.0']),
% 3.21/3.63 [weight('<29,3618,21,[0,0,0,3]>')]).
% 3.21/3.63 cnf('0.3624.2.0',plain,
% 3.21/3.63 ( product(additive_identity,X1,additive_identity) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3624.1.0',theory(equality)]),
% 3.21/3.63 [x,rule_3587]).
% 3.21/3.63 cnf('0.3625.0.0',plain,
% 3.21/3.63 ( ifeq(product(additive_identity,y,additive_identity),true,product(x,z,x),true) = true ),
% 3.21/3.63 inference(interreduction_right,[status(thm)],['0.237.2.0'])).
% 3.21/3.63 cnf('0.3625.0.1',plain,
% 3.21/3.63 ( ifeq(true,true,product(x,z,x),true) = true ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3625.0.0','0.3624.2.0',theory(equality)]),
% 3.21/3.63 [pos('L.1','L')]).
% 3.21/3.63 cnf('0.3625.0.2',plain,
% 3.21/3.63 ( product(x,z,x) = true ),
% 3.21/3.63 inference(reduction,[status(thm)],['0.3625.0.1','0.1.2.0',theory(equality)]),
% 3.21/3.63 [pos('L','L')]).
% 3.21/3.63 cnf('0.3625.1.0',plain,
% 3.21/3.63 ( product(x,z,x) = true ),
% 3.21/3.63 inference(weigh,[status(thm)],['0.3625.0.2']),
% 3.21/3.63 [weight('<29,237,3624,[0,0,0,0]>')]).
% 3.21/3.63 cnf('0.3625.2.0',plain,
% 3.21/3.63 ( product(x,z,x) = true ),
% 3.21/3.63 inference(orient,[status(thm)],['0.3625.1.0',theory(equality)]),
% 3.21/3.63 [u,rule_3588]).
% 3.21/3.63 cnf('1.0.0.0',conjecture,
% 3.21/3.63 ( true = product(x,z,x) ),
% 3.21/3.63 file('/tmp/WALDMEISTER_8928_n028',conjecture_1)).
% 3.21/3.63 cnf('1.0.0.1',plain,
% 3.21/3.63 ( true = true ),
% 3.21/3.63 inference(reduction,[status(thm)],['1.0.0.0','0.3625.2.0',theory(equality)]),
% 3.21/3.63 [pos('R','L')]).
% 3.21/3.63 cnf('1.0.0.2',plain,
% 3.21/3.63 ( $true ),
% 3.21/3.63 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 3.21/3.63 [conjecture_1]).
% 3.21/3.63
% 3.21/3.63 Proved Goals:
% 3.21/3.63 No. 1: true ?= product(x,z,x) joined, current: true = true
% 3.21/3.63 1 goal was specified, which was proved.
% 3.21/3.63 % SZS output end CNFRefutation
% 3.21/3.63 #END OF PROOF
% 3.21/3.63
% 3.21/3.63 Problem WALDMEISTER_8928_n028
% 3.21/3.63 CPs.gen 619888
% 3.21/3.63 CPs.reexp 0
% 3.21/3.63 Select 37320
% 3.21/3.63 R 3588
% 3.21/3.63 E 37
% 3.21/3.63 vsize 12.1M
% 3.21/3.63 rss 7.6M
% 3.21/3.63 process.time 2.653s
% 3.21/3.63 wallclock.time 2.653s
% 3.21/3.63 status S
% 3.21/3.63
% 3.21/3.63
% 3.21/3.63 Waldmeister states: Goal proved.
% 3.21/3.63 % SZS status Unsatisfiable
%------------------------------------------------------------------------------