TSTP Solution File: SYN116-10 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SYN116-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n009.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 21 13:30:05 EDT 2022
% Result : Unsatisfiable 0.76s 1.22s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN116-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 19:43:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.76/1.14 ********************************************************************************
% 0.76/1.14 * W A L D M E I S T E R \| \ / \|/ *
% 0.76/1.14 * |/ | \/ | *
% 0.76/1.14 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.76/1.14 * A. Jaeger and B. Loechner | | *
% 0.76/1.14 * <waldmeister@informatik.uni-kl.de> | *
% 0.76/1.14 ********************************************************************************
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Goals:
% 0.76/1.14 ------
% 0.76/1.14
% 0.76/1.14 ( 1) true ?=? k5(b)
% 0.76/1.14
% 0.76/1.14 Detected structure: Orkus
% 0.76/1.14 ********************************************************************************
% 0.76/1.14 ****************************** COMPLETION - PROOF ******************************
% 0.76/1.14 ********************************************************************************
% 0.76/1.14
% 0.76/1.22 joined goal: 1 true ?= k5(b) to true
% 0.76/1.22 goal joined
% 0.76/1.22 % SZS status Unsatisfiable
% 0.76/1.22 #START OF PROOF
% 0.76/1.22 % SZS output start CNFRefutation
% 0.76/1.22 cnf('0.1.0.0',axiom,
% 0.76/1.22 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.1.1.0',plain,
% 0.76/1.22 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.76/1.22 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.1.2.0',plain,
% 0.76/1.22 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.76/1.22 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_1]).
% 0.76/1.22 cnf('0.5.0.0',axiom,
% 0.76/1.22 ( true = ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.5.1.0',plain,
% 0.76/1.22 ( true = ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.76/1.22 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.76/1.22 cnf('0.5.2.0',plain,
% 0.76/1.22 ( ifeq(p2(X1,X2,X3),true,r3(X1,X3,X1),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_5]).
% 0.76/1.22 cnf('0.23.0.0',axiom,
% 0.76/1.22 ( true = ifeq(m0(X1,X2,X3),true,q1(X3,X3,X3),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.23.1.0',plain,
% 0.76/1.22 ( true = ifeq(m0(X1,X2,X3),true,q1(X3,X3,X3),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.76/1.22 [weight('<23,0,0,[0,0,0,24]>')]).
% 0.76/1.22 cnf('0.23.2.0',plain,
% 0.76/1.22 ( ifeq(m0(X1,X2,X3),true,q1(X3,X3,X3),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_23]).
% 0.76/1.22 cnf('0.65.0.0',axiom,
% 0.76/1.22 ( true = ifeq(q1(X1,X1,X1),true,p2(X1,X1,X1),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.65.1.0',plain,
% 0.76/1.22 ( true = ifeq(q1(X1,X1,X1),true,p2(X1,X1,X1),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.76/1.22 [weight('<68,0,0,[0,0,0,69]>')]).
% 0.76/1.22 cnf('0.65.2.0',plain,
% 0.76/1.22 ( ifeq(q1(X1,X1,X1),true,p2(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_65]).
% 0.76/1.22 cnf('0.76.0.0',axiom,
% 0.76/1.22 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.76.1.0',plain,
% 0.76/1.22 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.76/1.22 [weight('<79,0,0,[0,0,0,80]>')]).
% 0.76/1.22 cnf('0.76.2.0',plain,
% 0.76/1.22 ( ifeq(p1(X1,X2,X3),true,n2(X3),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_76]).
% 0.76/1.22 cnf('0.96.0.0',axiom,
% 0.76/1.22 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.96.1.0',plain,
% 0.76/1.22 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.76/1.22 [weight('<99,0,0,[0,0,0,100]>')]).
% 0.76/1.22 cnf('0.96.2.0',plain,
% 0.76/1.22 ( ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_96]).
% 0.76/1.22 cnf('0.162.0.0',axiom,
% 0.76/1.22 ( true = ifeq(n0(X1,X2),true,l1(X2,X2),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.162.1.0',plain,
% 0.76/1.22 ( true = ifeq(n0(X1,X2),true,l1(X2,X2),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.162.0.0']),
% 0.76/1.22 [weight('<171,0,0,[0,0,0,172]>')]).
% 0.76/1.22 cnf('0.162.2.0',plain,
% 0.76/1.22 ( ifeq(n0(X1,X2),true,l1(X2,X2),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_162]).
% 0.76/1.22 cnf('0.210.0.0',axiom,
% 0.76/1.22 ( true = ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.210.1.0',plain,
% 0.76/1.22 ( true = ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.210.0.0']),
% 0.76/1.22 [weight('<220,0,0,[0,0,0,221]>')]).
% 0.76/1.22 cnf('0.210.2.0',plain,
% 0.76/1.22 ( ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_210]).
% 0.76/1.22 cnf('0.252.0.0',axiom,
% 0.76/1.22 ( true = ifeq(n2(X1),true,p3(X1,X1,X1),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.252.1.0',plain,
% 0.76/1.22 ( true = ifeq(n2(X1),true,p3(X1,X1,X1),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.252.0.0']),
% 0.76/1.22 [weight('<262,0,0,[0,0,0,263]>')]).
% 0.76/1.22 cnf('0.252.2.0',plain,
% 0.76/1.22 ( ifeq(n2(X1),true,p3(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.252.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_252]).
% 0.76/1.22 cnf('0.294.0.0',axiom,
% 0.76/1.22 ( true = ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.294.1.0',plain,
% 0.76/1.22 ( true = ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.294.0.0']),
% 0.76/1.22 [weight('<304,0,0,[0,0,0,305]>')]).
% 0.76/1.22 cnf('0.294.2.0',plain,
% 0.76/1.22 ( ifeq(s4(X1),true,ifeq(r3(X2,X3,X3),true,k5(X3),true),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.294.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_294]).
% 0.76/1.22 cnf('0.314.0.0',axiom,
% 0.76/1.22 ( true = m0(X1,d,X2) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.314.1.0',plain,
% 0.76/1.22 ( true = m0(X1,d,X2) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.314.0.0']),
% 0.76/1.22 [weight('<324,0,0,[0,0,0,325]>')]).
% 0.76/1.22 cnf('0.314.2.0',plain,
% 0.76/1.22 ( m0(X1,d,X2) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_314]).
% 0.76/1.22 cnf('0.322.0.0',axiom,
% 0.76/1.22 ( true = p0(b,X1) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.322.1.0',plain,
% 0.76/1.22 ( true = p0(b,X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.322.0.0']),
% 0.76/1.22 [weight('<334,0,0,[0,0,0,335]>')]).
% 0.76/1.22 cnf('0.322.2.0',plain,
% 0.76/1.22 ( p0(b,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_322]).
% 0.76/1.22 cnf('0.336.0.0',axiom,
% 0.76/1.22 ( true = n0(b,a) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009')).
% 0.76/1.22 cnf('0.336.1.0',plain,
% 0.76/1.22 ( true = n0(b,a) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.336.0.0']),
% 0.76/1.22 [weight('<352,0,0,[0,0,0,353]>')]).
% 0.76/1.22 cnf('0.336.2.0',plain,
% 0.76/1.22 ( n0(b,a) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_336]).
% 0.76/1.22 cnf('0.353.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,l1(a,a),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.162.2.0','0.336.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.353.0.1',plain,
% 0.76/1.22 ( true = l1(a,a) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.353.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.353.1.0',plain,
% 0.76/1.22 ( true = l1(a,a) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.353.0.1']),
% 0.76/1.22 [weight('<19,336,162,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.353.2.0',plain,
% 0.76/1.22 ( l1(a,a) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_353]).
% 0.76/1.22 cnf('0.368.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,q1(X1,X1,X1),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.23.2.0','0.314.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.368.0.1',plain,
% 0.76/1.22 ( true = q1(X1,X1,X1) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.368.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.368.1.0',plain,
% 0.76/1.22 ( true = q1(X1,X1,X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.368.0.1']),
% 0.76/1.22 [weight('<29,314,23,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.368.2.0',plain,
% 0.76/1.22 ( q1(X1,X1,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.368.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_368]).
% 0.76/1.22 cnf('0.369.0.0',plain,
% 0.76/1.22 ( ifeq(q1(X1,X1,X1),true,p2(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 0.76/1.22 cnf('0.369.0.1',plain,
% 0.76/1.22 ( ifeq(true,true,p2(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.369.0.0','0.368.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.369.0.2',plain,
% 0.76/1.22 ( p2(X1,X1,X1) = true ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.369.0.1','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('L','L')]).
% 0.76/1.22 cnf('0.369.1.0',plain,
% 0.76/1.22 ( p2(X1,X1,X1) = true ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.369.0.2']),
% 0.76/1.22 [weight('<29,65,368,[0,0,0,0]>')]).
% 0.76/1.22 cnf('0.369.2.0',plain,
% 0.76/1.22 ( p2(X1,X1,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.369.1.0',theory(equality)]),
% 0.76/1.22 [u,rule_369]).
% 0.76/1.22 cnf('0.382.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,p1(X1,X1,X1),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.96.2.0','0.322.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.382.0.1',plain,
% 0.76/1.22 ( true = p1(X1,X1,X1) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.382.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.382.1.0',plain,
% 0.76/1.22 ( true = p1(X1,X1,X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.382.0.1']),
% 0.76/1.22 [weight('<29,322,96,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.382.2.0',plain,
% 0.76/1.22 ( p1(X1,X1,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_382]).
% 0.76/1.22 cnf('0.383.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,n2(X1),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.76.2.0','0.382.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.383.0.1',plain,
% 0.76/1.22 ( true = n2(X1) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.383.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.383.1.0',plain,
% 0.76/1.22 ( true = n2(X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.383.0.1']),
% 0.76/1.22 [weight('<11,382,76,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.383.2.0',plain,
% 0.76/1.22 ( n2(X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_383]).
% 0.76/1.22 cnf('0.386.0.0',plain,
% 0.76/1.22 ( ifeq(n2(X1),true,p3(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(interreduction_right,[status(thm)],['0.252.2.0'])).
% 0.76/1.22 cnf('0.386.0.1',plain,
% 0.76/1.22 ( ifeq(true,true,p3(X1,X1,X1),true) = true ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.386.0.0','0.383.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.386.0.2',plain,
% 0.76/1.22 ( p3(X1,X1,X1) = true ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.386.0.1','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('L','L')]).
% 0.76/1.22 cnf('0.386.1.0',plain,
% 0.76/1.22 ( p3(X1,X1,X1) = true ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.386.0.2']),
% 0.76/1.22 [weight('<29,252,383,[0,0,0,0]>')]).
% 0.76/1.22 cnf('0.386.2.0',plain,
% 0.76/1.22 ( p3(X1,X1,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.386.1.0',theory(equality)]),
% 0.76/1.22 [u,rule_386]).
% 0.76/1.22 cnf('0.395.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,r3(X1,X1,X1),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.5.2.0','0.369.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.395.0.1',plain,
% 0.76/1.22 ( true = r3(X1,X1,X1) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.395.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.395.1.0',plain,
% 0.76/1.22 ( true = r3(X1,X1,X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.395.0.1']),
% 0.76/1.22 [weight('<29,369,5,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.395.2.0',plain,
% 0.76/1.22 ( r3(X1,X1,X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.395.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_395]).
% 0.76/1.22 cnf('0.432.0.0',plain,
% 0.76/1.22 ( true = ifeq(s4(X1),true,ifeq(true,true,k5(X2),true),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.294.2.0','0.395.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.3.1','L')]).
% 0.76/1.22 cnf('0.432.0.1',plain,
% 0.76/1.22 ( true = ifeq(s4(X1),true,k5(X2),true) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.432.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R.3','L')]).
% 0.76/1.22 cnf('0.432.1.0',plain,
% 0.76/1.22 ( true = ifeq(s4(X1),true,k5(X2),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.432.0.1']),
% 0.76/1.22 [weight('<71,395,294,[0,0,0,5]>')]).
% 0.76/1.22 cnf('0.432.2.0',plain,
% 0.76/1.22 ( ifeq(s4(X1),true,k5(X2),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.432.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_432]).
% 0.76/1.22 cnf('0.462.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,ifeq(l1(X1,X2),true,s4(X1),true),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.210.2.0','0.386.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.462.0.1',plain,
% 0.76/1.22 ( true = ifeq(l1(X1,X2),true,s4(X1),true) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.462.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.462.1.0',plain,
% 0.76/1.22 ( true = ifeq(l1(X1,X2),true,s4(X1),true) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.462.0.1']),
% 0.76/1.22 [weight('<89,386,210,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.462.2.0',plain,
% 0.76/1.22 ( ifeq(l1(X1,X2),true,s4(X1),true) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.462.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_462]).
% 0.76/1.22 cnf('0.463.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,s4(a),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.462.2.0','0.353.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.463.0.1',plain,
% 0.76/1.22 ( true = s4(a) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.463.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.463.1.0',plain,
% 0.76/1.22 ( true = s4(a) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.463.0.1']),
% 0.76/1.22 [weight('<11,462,353,[1,0,0,1]>')]).
% 0.76/1.22 cnf('0.463.2.0',plain,
% 0.76/1.22 ( s4(a) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.463.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_463]).
% 0.76/1.22 cnf('0.468.0.0',plain,
% 0.76/1.22 ( true = ifeq(true,true,k5(X1),true) ),
% 0.76/1.22 inference(cp,[status(thm)],['0.432.2.0','0.463.2.0',theory(equality)]),
% 0.76/1.22 [pos('L.1','L')]).
% 0.76/1.22 cnf('0.468.0.1',plain,
% 0.76/1.22 ( true = k5(X1) ),
% 0.76/1.22 inference(reduction,[status(thm)],['0.468.0.0','0.1.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('0.468.1.0',plain,
% 0.76/1.22 ( true = k5(X1) ),
% 0.76/1.22 inference(weigh,[status(thm)],['0.468.0.1']),
% 0.76/1.22 [weight('<11,463,432,[0,0,0,1]>')]).
% 0.76/1.22 cnf('0.468.2.0',plain,
% 0.76/1.22 ( k5(X1) = true ),
% 0.76/1.22 inference(orient,[status(thm)],['0.468.1.0',theory(equality)]),
% 0.76/1.22 [x,rule_468]).
% 0.76/1.22 cnf('1.0.0.0',conjecture,
% 0.76/1.22 ( true = k5(b) ),
% 0.76/1.22 file('/tmp/WALDMEISTER_11022_n009',conjecture_1)).
% 0.76/1.22 cnf('1.0.0.1',plain,
% 0.76/1.22 ( true = true ),
% 0.76/1.22 inference(reduction,[status(thm)],['1.0.0.0','0.468.2.0',theory(equality)]),
% 0.76/1.22 [pos('R','L')]).
% 0.76/1.22 cnf('1.0.0.2',plain,
% 0.76/1.22 ( $true ),
% 0.76/1.22 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.76/1.22 [conjecture_1]).
% 0.76/1.22
% 0.76/1.22 Proved Goals:
% 0.76/1.22 No. 1: true ?= k5(b) joined, current: true = true
% 0.76/1.22 1 goal was specified, which was proved.
% 0.76/1.22 % SZS output end CNFRefutation
% 0.76/1.22 #END OF PROOF
% 0.76/1.22
% 0.76/1.22 Problem WALDMEISTER_11022_n009
% 0.76/1.22 CPs.gen 1575
% 0.76/1.22 CPs.reexp 0
% 0.76/1.22 Select 627
% 0.76/1.22 R 468
% 0.76/1.22 E 0
% 0.76/1.22 vsize 11.5M
% 0.76/1.22 rss 8.7M
% 0.76/1.22 process.time 0.078s
% 0.76/1.22 wallclock.time 0.078s
% 0.76/1.22 status S
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Waldmeister states: Goal proved.
% 0.76/1.22 % SZS status Unsatisfiable
%------------------------------------------------------------------------------