TSTP Solution File: ALG030-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 18:25:02 EDT 2022
% Result : Unsatisfiable 0.54s 0.97s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.11 % Command : woody %s
% 0.11/0.30 % Computer : n025.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 8 23:00:20 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.54/0.96 ********************************************************************************
% 0.54/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.96 * |/ | \/ | *
% 0.54/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.96 * A. Jaeger and B. Loechner | | *
% 0.54/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.96 ********************************************************************************
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 Goals:
% 0.54/0.96 ------
% 0.54/0.96
% 0.54/0.96 ( 1) op1(sK2_ax3_U,sK1_ax3_V) ?=? op1(sK1_ax3_V,sK2_ax3_U)
% 0.54/0.96
% 0.54/0.96 Detected structure: Orkus
% 0.54/0.96 ********************************************************************************
% 0.54/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.96 ********************************************************************************
% 0.54/0.96
% 0.54/0.97 joined goal: 1 op1(sK2_ax3_U,sK1_ax3_V) ?= op1(sK1_ax3_V,sK2_ax3_U) to op1(sK1_ax3_V,sK2_ax3_U)
% 0.54/0.97 goal joined
% 0.54/0.97 % SZS status Unsatisfiable
% 0.54/0.97 #START OF PROOF
% 0.54/0.97 % SZS output start CNFRefutation
% 0.54/0.97 cnf('0.1.0.0',axiom,
% 0.54/0.97 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.1.1.0',plain,
% 0.54/0.97 ( X1 = ifeq2(X2,X2,X1,X3) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.54/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.54/0.97 cnf('0.1.2.0',plain,
% 0.54/0.97 ( ifeq2(X1,X1,X2,X3) = X2 ),
% 0.54/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_1]).
% 0.54/0.97 cnf('0.2.0.0',axiom,
% 0.54/0.97 ( X1 = ifeq2(sorti1(X1),true,j(h(X1)),X1) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.2.1.0',plain,
% 0.54/0.97 ( X1 = ifeq2(sorti1(X1),true,j(h(X1)),X1) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.54/0.97 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.54/0.97 cnf('0.2.2.0',plain,
% 0.54/0.97 ( ifeq2(sorti1(X1),true,j(h(X1)),X1) = X1 ),
% 0.54/0.97 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_2]).
% 0.54/0.97 cnf('0.4.0.0',axiom,
% 0.54/0.97 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.4.1.0',plain,
% 0.54/0.97 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.54/0.97 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.54/0.97 cnf('0.4.2.0',plain,
% 0.54/0.97 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.54/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_4]).
% 0.54/0.97 cnf('0.5.0.0',axiom,
% 0.54/0.97 ( true = sorti1(sK1_ax3_V) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.5.1.0',plain,
% 0.54/0.97 ( true = sorti1(sK1_ax3_V) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.54/0.97 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.54/0.97 cnf('0.5.2.0',plain,
% 0.54/0.97 ( sorti1(sK1_ax3_V) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_5]).
% 0.54/0.97 cnf('0.6.0.0',axiom,
% 0.54/0.97 ( true = sorti1(sK2_ax3_U) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.6.1.0',plain,
% 0.54/0.97 ( true = sorti1(sK2_ax3_U) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.54/0.97 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.54/0.97 cnf('0.6.2.0',plain,
% 0.54/0.97 ( sorti1(sK2_ax3_U) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_6]).
% 0.54/0.97 cnf('0.7.0.0',axiom,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,sorti2(h(X1)),true) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.7.1.0',plain,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,sorti2(h(X1)),true) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.54/0.97 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.54/0.97 cnf('0.7.2.0',plain,
% 0.54/0.97 ( ifeq(sorti1(X1),true,sorti2(h(X1)),true) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_7]).
% 0.54/0.97 cnf('0.8.0.0',axiom,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,ifeq(sorti1(X2),true,sorti1(op1(X2,X1)),true),true) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.8.1.0',plain,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,ifeq(sorti1(X2),true,sorti1(op1(X2,X1)),true),true) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.54/0.97 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.54/0.97 cnf('0.8.2.0',plain,
% 0.54/0.97 ( ifeq(sorti1(X1),true,ifeq(sorti1(X2),true,sorti1(op1(X2,X1)),true),true) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_8]).
% 0.54/0.97 cnf('0.11.0.0',axiom,
% 0.54/0.97 ( op2(X1,X2) = ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op2(X2,X1),op2(X1,X2)),op2(X1,X2)) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.11.1.0',plain,
% 0.54/0.97 ( op2(X1,X2) = ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op2(X2,X1),op2(X1,X2)),op2(X1,X2)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.54/0.97 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.54/0.97 cnf('0.11.2.0',plain,
% 0.54/0.97 ( ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op2(X2,X1),op2(X1,X2)),op2(X1,X2)) = op2(X1,X2) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_11]).
% 0.54/0.97 cnf('0.12.0.0',axiom,
% 0.54/0.97 ( ifeq2(sorti1(X1),true,ifeq2(sorti1(X2),true,op2(h(X2),h(X1)),h(op1(X2,X1))),h(op1(X2,X1))) = h(op1(X2,X1)) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.12.1.0',plain,
% 0.54/0.97 ( ifeq2(sorti1(X1),true,ifeq2(sorti1(X2),true,op2(h(X2),h(X1)),h(op1(X2,X1))),h(op1(X2,X1))) = h(op1(X2,X1)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.54/0.97 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.54/0.97 cnf('0.12.2.0',plain,
% 0.54/0.97 ( ifeq2(sorti1(X1),true,ifeq2(sorti1(X2),true,op2(h(X2),h(X1)),h(op1(X2,X1))),h(op1(X2,X1))) = h(op1(X2,X1)) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.54/0.97 [u,rule_12]).
% 0.54/0.97 cnf('0.13.0.0',axiom,
% 0.54/0.97 ( ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op1(j(X2),j(X1)),j(op2(X2,X1))),j(op2(X2,X1))) = j(op2(X2,X1)) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025')).
% 0.54/0.97 cnf('0.13.1.0',plain,
% 0.54/0.97 ( ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op1(j(X2),j(X1)),j(op2(X2,X1))),j(op2(X2,X1))) = j(op2(X2,X1)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.54/0.97 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.54/0.97 cnf('0.13.2.0',plain,
% 0.54/0.97 ( ifeq2(sorti2(X1),true,ifeq2(sorti2(X2),true,op1(j(X2),j(X1)),j(op2(X2,X1))),j(op2(X2,X1))) = j(op2(X2,X1)) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.54/0.97 [u,rule_13]).
% 0.54/0.97 cnf('0.14.0.0',plain,
% 0.54/0.97 ( sK1_ax3_V = ifeq2(true,true,j(h(sK1_ax3_V)),sK1_ax3_V) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.14.0.1',plain,
% 0.54/0.97 ( sK1_ax3_V = j(h(sK1_ax3_V)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.14.0.0','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.14.1.0',plain,
% 0.54/0.97 ( sK1_ax3_V = j(h(sK1_ax3_V)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.54/0.97 [weight('<19,5,2,[0,0,0,1]>')]).
% 0.54/0.97 cnf('0.14.2.0',plain,
% 0.54/0.97 ( j(h(sK1_ax3_V)) = sK1_ax3_V ),
% 0.54/0.97 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_14]).
% 0.54/0.97 cnf('0.15.0.0',plain,
% 0.54/0.97 ( sK2_ax3_U = ifeq2(true,true,j(h(sK2_ax3_U)),sK2_ax3_U) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.15.0.1',plain,
% 0.54/0.97 ( sK2_ax3_U = j(h(sK2_ax3_U)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.15.0.0','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.15.1.0',plain,
% 0.54/0.97 ( sK2_ax3_U = j(h(sK2_ax3_U)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.54/0.97 [weight('<19,6,2,[0,0,0,1]>')]).
% 0.54/0.97 cnf('0.15.2.0',plain,
% 0.54/0.97 ( j(h(sK2_ax3_U)) = sK2_ax3_U ),
% 0.54/0.97 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_15]).
% 0.54/0.97 cnf('0.16.0.0',plain,
% 0.54/0.97 ( true = ifeq(true,true,sorti2(h(sK1_ax3_V)),true) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.16.0.1',plain,
% 0.54/0.97 ( true = sorti2(h(sK1_ax3_V)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.16.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.16.1.0',plain,
% 0.54/0.97 ( true = sorti2(h(sK1_ax3_V)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.54/0.97 [weight('<19,7,5,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.16.2.0',plain,
% 0.54/0.97 ( sorti2(h(sK1_ax3_V)) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_16]).
% 0.54/0.97 cnf('0.17.0.0',plain,
% 0.54/0.97 ( true = ifeq(true,true,sorti2(h(sK2_ax3_U)),true) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.17.0.1',plain,
% 0.54/0.97 ( true = sorti2(h(sK2_ax3_U)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.17.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.17.1.0',plain,
% 0.54/0.97 ( true = sorti2(h(sK2_ax3_U)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.54/0.97 [weight('<19,7,6,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.17.2.0',plain,
% 0.54/0.97 ( sorti2(h(sK2_ax3_U)) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_17]).
% 0.54/0.97 cnf('0.18.0.0',plain,
% 0.54/0.97 ( true = ifeq(true,true,ifeq(sorti1(X1),true,sorti1(op1(X1,sK1_ax3_V)),true),true) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.8.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.18.0.1',plain,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,sorti1(op1(X1,sK1_ax3_V)),true) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.18.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.18.1.0',plain,
% 0.54/0.97 ( true = ifeq(sorti1(X1),true,sorti1(op1(X1,sK1_ax3_V)),true) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.54/0.97 [weight('<109,8,5,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.18.2.0',plain,
% 0.54/0.97 ( ifeq(sorti1(X1),true,sorti1(op1(X1,sK1_ax3_V)),true) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_18]).
% 0.54/0.97 cnf('0.20.0.0',plain,
% 0.54/0.97 ( true = ifeq(true,true,sorti1(op1(sK2_ax3_U,sK1_ax3_V)),true) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.18.2.0','0.6.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.20.0.1',plain,
% 0.54/0.97 ( true = sorti1(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.20.1.0',plain,
% 0.54/0.97 ( true = sorti1(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.54/0.97 [weight('<29,18,6,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.20.2.0',plain,
% 0.54/0.97 ( sorti1(op1(sK2_ax3_U,sK1_ax3_V)) = true ),
% 0.54/0.97 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_20]).
% 0.54/0.97 cnf('0.24.0.0',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = ifeq2(true,true,j(h(op1(sK2_ax3_U,sK1_ax3_V))),op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.2.2.0','0.20.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.24.0.1',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = j(h(op1(sK2_ax3_U,sK1_ax3_V))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.24.0.0','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.24.1.0',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = j(h(op1(sK2_ax3_U,sK1_ax3_V))) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.54/0.97 [weight('<53,20,2,[0,0,0,1]>')]).
% 0.54/0.97 cnf('0.24.2.0',plain,
% 0.54/0.97 ( j(h(op1(sK2_ax3_U,sK1_ax3_V))) = op1(sK2_ax3_U,sK1_ax3_V) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_24]).
% 0.54/0.97 cnf('0.161.0.0',plain,
% 0.54/0.97 ( h(op1(X1,sK1_ax3_V)) = ifeq2(true,true,ifeq2(sorti1(X1),true,op2(h(X1),h(sK1_ax3_V)),h(op1(X1,sK1_ax3_V))),h(op1(X1,sK1_ax3_V))) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.12.2.0','0.5.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.161.0.1',plain,
% 0.54/0.97 ( h(op1(X1,sK1_ax3_V)) = ifeq2(sorti1(X1),true,op2(h(X1),h(sK1_ax3_V)),h(op1(X1,sK1_ax3_V))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.161.0.0','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.161.1.0',plain,
% 0.54/0.97 ( h(op1(X1,sK1_ax3_V)) = ifeq2(sorti1(X1),true,op2(h(X1),h(sK1_ax3_V)),h(op1(X1,sK1_ax3_V))) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.161.0.1']),
% 0.54/0.97 [weight('<?,12,5,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.161.2.0',plain,
% 0.54/0.97 ( ifeq2(sorti1(X1),true,op2(h(X1),h(sK1_ax3_V)),h(op1(X1,sK1_ax3_V))) = h(op1(X1,sK1_ax3_V)) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_161]).
% 0.54/0.97 cnf('0.163.0.0',plain,
% 0.54/0.97 ( h(op1(sK2_ax3_U,sK1_ax3_V)) = ifeq2(true,true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK2_ax3_U,sK1_ax3_V))) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.161.2.0','0.6.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.163.0.1',plain,
% 0.54/0.97 ( h(op1(sK2_ax3_U,sK1_ax3_V)) = op2(h(sK2_ax3_U),h(sK1_ax3_V)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.163.0.0','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.163.1.0',plain,
% 0.54/0.97 ( h(op1(sK2_ax3_U,sK1_ax3_V)) = op2(h(sK2_ax3_U),h(sK1_ax3_V)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.163.0.1']),
% 0.54/0.97 [weight('<59,161,6,[1,0,0,1]>')]).
% 0.54/0.97 cnf('0.163.2.0',plain,
% 0.54/0.97 ( op2(h(sK2_ax3_U),h(sK1_ax3_V)) = h(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_163]).
% 0.54/0.97 cnf('0.164.0.0',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.11.2.0','0.163.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.3.3','L')]).
% 0.54/0.97 cnf('0.164.0.1',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(true,true,ifeq2(sorti2(h(sK2_ax3_U)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.164.0.0','0.16.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.1','L')]).
% 0.54/0.97 cnf('0.164.0.2',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(sorti2(h(sK2_ax3_U)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.164.0.1','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.164.0.3',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(true,true,h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.164.0.2','0.17.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.1','L')]).
% 0.54/0.97 cnf('0.164.0.4',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.164.0.3','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.164.1.0',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.164.0.4']),
% 0.54/0.97 [weight('<59,163,11,[0,0,0,8]>')]).
% 0.54/0.97 cnf('0.164.2.0',plain,
% 0.54/0.97 ( op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK2_ax3_U,sK1_ax3_V)) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 0.54/0.97 [u,rule_164]).
% 0.54/0.97 cnf('0.165.0.0',plain,
% 0.54/0.97 ( j(op2(h(sK1_ax3_V),h(sK2_ax3_U))) = ifeq2(sorti2(h(sK2_ax3_U)),true,ifeq2(sorti2(h(sK1_ax3_V)),true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) ),
% 0.54/0.97 inference(cp,[status(thm)],['0.13.2.0','0.164.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.3.4.1','L')]).
% 0.54/0.97 cnf('0.165.0.1',plain,
% 0.54/0.97 ( j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK2_ax3_U)),true,ifeq2(sorti2(h(sK1_ax3_V)),true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.0','0.164.2.0',theory(equality)]),
% 0.54/0.97 [pos('L.1','L')]).
% 0.54/0.97 cnf('0.165.0.2',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = ifeq2(sorti2(h(sK2_ax3_U)),true,ifeq2(sorti2(h(sK1_ax3_V)),true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.1','0.24.2.0',theory(equality)]),
% 0.54/0.97 [pos('L','L')]).
% 0.54/0.97 cnf('0.165.0.3',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = ifeq2(true,true,ifeq2(sorti2(h(sK1_ax3_V)),true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(op2(h(sK1_ax3_V),h(sK2_ax3_U)))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.2','0.17.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.1','L')]).
% 0.54/0.97 cnf('0.165.0.4',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = ifeq2(sorti2(h(sK1_ax3_V)),true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.3','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.165.0.5',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = ifeq2(true,true,op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.4','0.16.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.1','L')]).
% 0.54/0.97 cnf('0.165.0.6',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = op1(j(h(sK1_ax3_V)),j(h(sK2_ax3_U))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.5','0.1.2.0',theory(equality)]),
% 0.54/0.97 [pos('R','L')]).
% 0.54/0.97 cnf('0.165.0.7',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,j(h(sK2_ax3_U))) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.6','0.14.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.1','L')]).
% 0.54/0.97 cnf('0.165.0.8',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U) ),
% 0.54/0.97 inference(reduction,[status(thm)],['0.165.0.7','0.15.2.0',theory(equality)]),
% 0.54/0.97 [pos('R.2','L')]).
% 0.54/0.97 cnf('0.165.1.0',plain,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U) ),
% 0.54/0.97 inference(weigh,[status(thm)],['0.165.0.8']),
% 0.54/0.97 [weight('<27,164,13,[0,0,0,14]>')]).
% 0.54/0.97 cnf('0.165.2.0',plain,
% 0.54/0.97 ( op1(sK1_ax3_V,sK2_ax3_U) = op1(sK2_ax3_U,sK1_ax3_V) ),
% 0.54/0.97 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 0.54/0.97 [x,rule_165]).
% 0.54/0.97 cnf('1.0.0.0',conjecture,
% 0.54/0.97 ( op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U) ),
% 0.54/0.97 file('/tmp/WALDMEISTER_9145_n025',conjecture_1)).
% 0.54/0.97 cnf('1.0.0.1',plain,
% 0.54/0.97 ( op1(sK1_ax3_V,sK2_ax3_U) = op1(sK1_ax3_V,sK2_ax3_U) ),
% 0.54/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.165.2.0',theory(equality)]),
% 0.54/0.97 [pos('L','R')]).
% 0.54/0.97 cnf('1.0.0.2',plain,
% 0.54/0.97 ( $true ),
% 0.54/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.54/0.97 [conjecture_1]).
% 0.54/0.97
% 0.54/0.97 Proved Goals:
% 0.54/0.97 No. 1: op1(sK2_ax3_U,sK1_ax3_V) ?= op1(sK1_ax3_V,sK2_ax3_U) joined, current: op1(sK1_ax3_V,sK2_ax3_U) = op1(sK1_ax3_V,sK2_ax3_U)
% 0.54/0.97 1 goal was specified, which was proved.
% 0.54/0.97 % SZS output end CNFRefutation
% 0.54/0.97 #END OF PROOF
% 0.54/0.97
% 0.54/0.97 Problem WALDMEISTER_9145_n025
% 0.54/0.97 CPs.gen 1619
% 0.54/0.97 CPs.reexp 0
% 0.54/0.97 Select 199
% 0.54/0.97 R 165
% 0.54/0.97 E 0
% 0.54/0.97 vsize 6.6M
% 0.54/0.97 rss 3.9M
% 0.54/0.97 process.time 0.010s
% 0.54/0.97 wallclock.time 0.010s
% 0.54/0.97 status S
% 0.54/0.97
% 0.54/0.97
% 0.54/0.97 Waldmeister states: Goal proved.
% 0.54/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------