TSTP Solution File: SYN143-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 13:30:15 EDT 2022
% Result : Unsatisfiable 0.79s 1.41s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.34 % Computer : n016.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 : Tue Jul 12 02:46:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.16 ********************************************************************************
% 0.74/1.16 * W A L D M E I S T E R \| \ / \|/ *
% 0.74/1.16 * |/ | \/ | *
% 0.74/1.16 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.74/1.16 * A. Jaeger and B. Loechner | | *
% 0.74/1.16 * <waldmeister@informatik.uni-kl.de> | *
% 0.74/1.16 ********************************************************************************
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Goals:
% 0.74/1.16 ------
% 0.74/1.16
% 0.74/1.16 ( 1) true ?=? m5(d,d)
% 0.74/1.16
% 0.74/1.16 Detected structure: Orkus
% 0.74/1.16 ********************************************************************************
% 0.74/1.16 ****************************** COMPLETION - PROOF ******************************
% 0.74/1.16 ********************************************************************************
% 0.74/1.16
% 0.79/1.41 joined goal: 1 true ?= m5(d,d) to true
% 0.79/1.41 goal joined
% 0.79/1.41 % SZS status Unsatisfiable
% 0.79/1.41 #START OF PROOF
% 0.79/1.41 % SZS output start CNFRefutation
% 0.79/1.41 cnf('0.1.0.0',axiom,
% 0.79/1.41 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.1.1.0',plain,
% 0.79/1.41 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.79/1.41 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.1.2.0',plain,
% 0.79/1.41 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1]).
% 0.79/1.41 cnf('0.53.0.0',axiom,
% 0.79/1.41 ( true = ifeq(n1(X1,X2,X1),true,ifeq(l0(X3),true,ifeq(l1(X3,X1),true,n1(X1,X2,X2),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.53.1.0',plain,
% 0.79/1.41 ( true = ifeq(n1(X1,X2,X1),true,ifeq(l0(X3),true,ifeq(l1(X3,X1),true,n1(X1,X2,X2),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.79/1.41 [weight('<56,0,0,[0,0,0,57]>')]).
% 0.79/1.41 cnf('0.53.2.0',plain,
% 0.79/1.41 ( ifeq(n1(X1,X2,X1),true,ifeq(l0(X3),true,ifeq(l1(X3,X1),true,n1(X1,X2,X2),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_53]).
% 0.79/1.41 cnf('0.74.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p1(X1,X2,X3),true,ifeq(m0(X1,X2,X3),true,p1(X2,X4,X1),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.74.1.0',plain,
% 0.79/1.41 ( true = ifeq(p1(X1,X2,X3),true,ifeq(m0(X1,X2,X3),true,p1(X2,X4,X1),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.79/1.41 [weight('<77,0,0,[0,0,0,78]>')]).
% 0.79/1.41 cnf('0.74.2.0',plain,
% 0.79/1.41 ( ifeq(p1(X1,X2,X3),true,ifeq(m0(X1,X2,X3),true,p1(X2,X4,X1),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_74]).
% 0.79/1.41 cnf('0.76.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.76.1.0',plain,
% 0.79/1.41 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.79/1.41 [weight('<79,0,0,[0,0,0,80]>')]).
% 0.79/1.41 cnf('0.76.2.0',plain,
% 0.79/1.41 ( ifeq(p1(X1,X2,X3),true,n2(X3),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_76]).
% 0.79/1.41 cnf('0.78.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p1(X1,X1,X1),true,ifeq(k0(X2),true,q2(X1,X2,X2),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.78.1.0',plain,
% 0.79/1.41 ( true = ifeq(p1(X1,X1,X1),true,ifeq(k0(X2),true,q2(X1,X2,X2),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.78.0.0']),
% 0.79/1.41 [weight('<81,0,0,[0,0,0,82]>')]).
% 0.79/1.41 cnf('0.78.2.0',plain,
% 0.79/1.41 ( ifeq(p1(X1,X1,X1),true,ifeq(k0(X2),true,q2(X1,X2,X2),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_78]).
% 0.79/1.41 cnf('0.87.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,ifeq(r0(X3),true,ifeq(m0(X4,X2,X1),true,l1(X2,X4),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.87.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,ifeq(r0(X3),true,ifeq(m0(X4,X2,X1),true,l1(X2,X4),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.87.0.0']),
% 0.79/1.41 [weight('<90,0,0,[0,0,0,91]>')]).
% 0.79/1.41 cnf('0.87.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X2),true,ifeq(r0(X3),true,ifeq(m0(X4,X2,X1),true,l1(X2,X4),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_87]).
% 0.79/1.41 cnf('0.96.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.96.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.79/1.41 [weight('<99,0,0,[0,0,0,100]>')]).
% 0.79/1.41 cnf('0.96.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_96]).
% 0.79/1.41 cnf('0.97.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X1),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.97.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.97.0.0']),
% 0.79/1.41 [weight('<100,0,0,[0,0,0,101]>')]).
% 0.79/1.41 cnf('0.97.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X2),true,p1(X2,X2,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_97]).
% 0.79/1.41 cnf('0.101.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p0(X1,X1),true,s1(X1),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.101.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X1),true,s1(X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.79/1.41 [weight('<104,0,0,[0,0,0,105]>')]).
% 0.79/1.41 cnf('0.101.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X1),true,s1(X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_101]).
% 0.79/1.41 cnf('0.141.0.0',axiom,
% 0.79/1.41 ( true = ifeq(l0(X1),true,ifeq(p0(b,X2),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.141.1.0',plain,
% 0.79/1.41 ( true = ifeq(l0(X1),true,ifeq(p0(b,X2),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.141.0.0']),
% 0.79/1.41 [weight('<150,0,0,[0,0,0,151]>')]).
% 0.79/1.41 cnf('0.141.2.0',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(p0(b,X2),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.141.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_141]).
% 0.79/1.41 cnf('0.156.0.0',axiom,
% 0.79/1.41 ( true = ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.156.1.0',plain,
% 0.79/1.41 ( true = ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.156.0.0']),
% 0.79/1.41 [weight('<165,0,0,[0,0,0,166]>')]).
% 0.79/1.41 cnf('0.156.2.0',plain,
% 0.79/1.41 ( ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_156]).
% 0.79/1.41 cnf('0.162.0.0',axiom,
% 0.79/1.41 ( true = ifeq(n0(X1,X2),true,l1(X2,X2),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.162.1.0',plain,
% 0.79/1.41 ( true = ifeq(n0(X1,X2),true,l1(X2,X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.162.0.0']),
% 0.79/1.41 [weight('<171,0,0,[0,0,0,172]>')]).
% 0.79/1.41 cnf('0.162.2.0',plain,
% 0.79/1.41 ( ifeq(n0(X1,X2),true,l1(X2,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_162]).
% 0.79/1.41 cnf('0.163.0.0',axiom,
% 0.79/1.41 ( true = ifeq(q2(X1,X2,X3),true,ifeq(p1(X3,X3,X2),true,ifeq(n1(X1,X3,X2),true,q2(X3,X1,X3),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.163.1.0',plain,
% 0.79/1.41 ( true = ifeq(q2(X1,X2,X3),true,ifeq(p1(X3,X3,X2),true,ifeq(n1(X1,X3,X2),true,q2(X3,X1,X3),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.163.0.0']),
% 0.79/1.41 [weight('<172,0,0,[0,0,0,173]>')]).
% 0.79/1.41 cnf('0.163.2.0',plain,
% 0.79/1.41 ( ifeq(q2(X1,X2,X3),true,ifeq(p1(X3,X3,X2),true,ifeq(n1(X1,X3,X2),true,q2(X3,X1,X3),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_163]).
% 0.79/1.41 cnf('0.170.0.0',axiom,
% 0.79/1.41 ( true = ifeq(q2(b,X1,b),true,ifeq(s1(b),true,s2(X1),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.170.1.0',plain,
% 0.79/1.41 ( true = ifeq(q2(b,X1,b),true,ifeq(s1(b),true,s2(X1),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.170.0.0']),
% 0.79/1.41 [weight('<179,0,0,[0,0,0,180]>')]).
% 0.79/1.41 cnf('0.170.2.0',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,ifeq(s1(b),true,s2(X1),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_170]).
% 0.79/1.41 cnf('0.210.0.0',axiom,
% 0.79/1.41 ( true = ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.210.1.0',plain,
% 0.79/1.41 ( true = ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.210.0.0']),
% 0.79/1.41 [weight('<220,0,0,[0,0,0,221]>')]).
% 0.79/1.41 cnf('0.210.2.0',plain,
% 0.79/1.41 ( ifeq(p3(X1,X2,X3),true,ifeq(l1(X4,X2),true,s4(X4),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.210.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_210]).
% 0.79/1.41 cnf('0.223.0.0',axiom,
% 0.79/1.41 ( true = ifeq(s1(X1),true,ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.223.1.0',plain,
% 0.79/1.41 ( true = ifeq(s1(X1),true,ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.223.0.0']),
% 0.79/1.41 [weight('<233,0,0,[0,0,0,234]>')]).
% 0.79/1.41 cnf('0.223.2.0',plain,
% 0.79/1.41 ( ifeq(s1(X1),true,ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_223]).
% 0.79/1.41 cnf('0.224.0.0',axiom,
% 0.79/1.41 ( true = ifeq(s1(X1),true,ifeq(q0(X2,X3),true,s1(X2),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.224.1.0',plain,
% 0.79/1.41 ( true = ifeq(s1(X1),true,ifeq(q0(X2,X3),true,s1(X2),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.224.0.0']),
% 0.79/1.41 [weight('<234,0,0,[0,0,0,235]>')]).
% 0.79/1.41 cnf('0.224.2.0',plain,
% 0.79/1.41 ( ifeq(s1(X1),true,ifeq(q0(X2,X3),true,s1(X2),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_224]).
% 0.79/1.41 cnf('0.252.0.0',axiom,
% 0.79/1.41 ( true = ifeq(n2(X1),true,p3(X1,X1,X1),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.252.1.0',plain,
% 0.79/1.41 ( true = ifeq(n2(X1),true,p3(X1,X1,X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.252.0.0']),
% 0.79/1.41 [weight('<262,0,0,[0,0,0,263]>')]).
% 0.79/1.41 cnf('0.252.2.0',plain,
% 0.79/1.41 ( ifeq(n2(X1),true,p3(X1,X1,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.252.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_252]).
% 0.79/1.41 cnf('0.254.0.0',axiom,
% 0.79/1.41 ( true = ifeq(s2(X1),true,ifeq(q2(X2,X1,X2),true,ifeq(m0(X2,X3,X4),true,s3(X1,X4),true),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.254.1.0',plain,
% 0.79/1.41 ( true = ifeq(s2(X1),true,ifeq(q2(X2,X1,X2),true,ifeq(m0(X2,X3,X4),true,s3(X1,X4),true),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.254.0.0']),
% 0.79/1.41 [weight('<264,0,0,[0,0,0,265]>')]).
% 0.79/1.41 cnf('0.254.2.0',plain,
% 0.79/1.41 ( ifeq(s2(X1),true,ifeq(q2(X2,X1,X2),true,ifeq(m0(X2,X3,X4),true,s3(X1,X4),true),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_254]).
% 0.79/1.41 cnf('0.297.0.0',axiom,
% 0.79/1.41 ( true = ifeq(s4(X1),true,ifeq(m4(e,e),true,m5(X1,X1),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.297.1.0',plain,
% 0.79/1.41 ( true = ifeq(s4(X1),true,ifeq(m4(e,e),true,m5(X1,X1),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.297.0.0']),
% 0.79/1.41 [weight('<307,0,0,[0,0,0,308]>')]).
% 0.79/1.41 cnf('0.297.2.0',plain,
% 0.79/1.41 ( ifeq(s4(X1),true,ifeq(m4(e,e),true,m5(X1,X1),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.297.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_297]).
% 0.79/1.41 cnf('0.313.0.0',axiom,
% 0.79/1.41 ( true = ifeq(s3(a,X1),true,ifeq(l2(X2,X3),true,m4(X1,X3),true),true) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.313.1.0',plain,
% 0.79/1.41 ( true = ifeq(s3(a,X1),true,ifeq(l2(X2,X3),true,m4(X1,X3),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.313.0.0']),
% 0.79/1.41 [weight('<323,0,0,[0,0,0,324]>')]).
% 0.79/1.41 cnf('0.313.2.0',plain,
% 0.79/1.41 ( ifeq(s3(a,X1),true,ifeq(l2(X2,X3),true,m4(X1,X3),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.313.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_313]).
% 0.79/1.41 cnf('0.314.0.0',axiom,
% 0.79/1.41 ( true = m0(X1,d,X2) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.314.1.0',plain,
% 0.79/1.41 ( true = m0(X1,d,X2) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.314.0.0']),
% 0.79/1.41 [weight('<324,0,0,[0,0,0,325]>')]).
% 0.79/1.41 cnf('0.314.2.0',plain,
% 0.79/1.41 ( m0(X1,d,X2) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_314]).
% 0.79/1.41 cnf('0.320.0.0',axiom,
% 0.79/1.41 ( true = m0(a,X1,a) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.320.1.0',plain,
% 0.79/1.41 ( true = m0(a,X1,a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.320.0.0']),
% 0.79/1.41 [weight('<332,0,0,[0,0,0,333]>')]).
% 0.79/1.41 cnf('0.320.2.0',plain,
% 0.79/1.41 ( m0(a,X1,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_320]).
% 0.79/1.41 cnf('0.322.0.0',axiom,
% 0.79/1.41 ( true = p0(b,X1) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.322.1.0',plain,
% 0.79/1.41 ( true = p0(b,X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.322.0.0']),
% 0.79/1.41 [weight('<334,0,0,[0,0,0,335]>')]).
% 0.79/1.41 cnf('0.322.2.0',plain,
% 0.79/1.41 ( p0(b,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_322]).
% 0.79/1.41 cnf('0.324.0.0',axiom,
% 0.79/1.41 ( true = q0(X1,d) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.324.1.0',plain,
% 0.79/1.41 ( true = q0(X1,d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.324.0.0']),
% 0.79/1.41 [weight('<338,0,0,[0,0,0,339]>')]).
% 0.79/1.41 cnf('0.324.2.0',plain,
% 0.79/1.41 ( q0(X1,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_324]).
% 0.79/1.41 cnf('0.330.0.0',axiom,
% 0.79/1.41 ( true = r0(b) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.330.1.0',plain,
% 0.79/1.41 ( true = r0(b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.330.0.0']),
% 0.79/1.41 [weight('<346,0,0,[0,0,0,347]>')]).
% 0.79/1.41 cnf('0.330.2.0',plain,
% 0.79/1.41 ( r0(b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.330.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_330]).
% 0.79/1.41 cnf('0.332.0.0',axiom,
% 0.79/1.41 ( true = s0(b) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.332.1.0',plain,
% 0.79/1.41 ( true = s0(b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.332.0.0']),
% 0.79/1.41 [weight('<348,0,0,[0,0,0,349]>')]).
% 0.79/1.41 cnf('0.332.2.0',plain,
% 0.79/1.41 ( s0(b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.332.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_332]).
% 0.79/1.41 cnf('0.335.0.0',axiom,
% 0.79/1.41 ( true = l0(a) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.335.1.0',plain,
% 0.79/1.41 ( true = l0(a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.335.0.0']),
% 0.79/1.41 [weight('<351,0,0,[0,0,0,352]>')]).
% 0.79/1.41 cnf('0.335.2.0',plain,
% 0.79/1.41 ( l0(a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_335]).
% 0.79/1.41 cnf('0.336.0.0',axiom,
% 0.79/1.41 ( true = n0(b,a) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.336.1.0',plain,
% 0.79/1.41 ( true = n0(b,a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.336.0.0']),
% 0.79/1.41 [weight('<352,0,0,[0,0,0,353]>')]).
% 0.79/1.41 cnf('0.336.2.0',plain,
% 0.79/1.41 ( n0(b,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_336]).
% 0.79/1.41 cnf('0.342.0.0',axiom,
% 0.79/1.41 ( true = n0(c,d) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.342.1.0',plain,
% 0.79/1.41 ( true = n0(c,d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.342.0.0']),
% 0.79/1.41 [weight('<358,0,0,[0,0,0,359]>')]).
% 0.79/1.41 cnf('0.342.2.0',plain,
% 0.79/1.41 ( n0(c,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_342]).
% 0.79/1.41 cnf('0.344.0.0',axiom,
% 0.79/1.41 ( true = k0(b) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016')).
% 0.79/1.41 cnf('0.344.1.0',plain,
% 0.79/1.41 ( true = k0(b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.344.0.0']),
% 0.79/1.41 [weight('<360,0,0,[0,0,0,361]>')]).
% 0.79/1.41 cnf('0.344.2.0',plain,
% 0.79/1.41 ( k0(b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.344.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_344]).
% 0.79/1.41 cnf('0.346.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,s1(b),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.101.2.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.346.0.1',plain,
% 0.79/1.41 ( true = s1(b) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.346.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.346.1.0',plain,
% 0.79/1.41 ( true = s1(b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.346.0.1']),
% 0.79/1.41 [weight('<11,322,101,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.346.2.0',plain,
% 0.79/1.41 ( s1(b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_346]).
% 0.79/1.41 cnf('0.353.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,l1(a,a),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.162.2.0','0.336.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.353.0.1',plain,
% 0.79/1.41 ( true = l1(a,a) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.353.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.353.1.0',plain,
% 0.79/1.41 ( true = l1(a,a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.353.0.1']),
% 0.79/1.41 [weight('<19,336,162,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.353.2.0',plain,
% 0.79/1.41 ( l1(a,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_353]).
% 0.79/1.41 cnf('0.358.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,l1(d,d),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.162.2.0','0.342.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.358.0.1',plain,
% 0.79/1.41 ( true = l1(d,d) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.358.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.358.1.0',plain,
% 0.79/1.41 ( true = l1(d,d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.358.0.1']),
% 0.79/1.41 [weight('<19,342,162,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.358.2.0',plain,
% 0.79/1.41 ( l1(d,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.358.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_358]).
% 0.79/1.41 cnf('0.382.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,p1(X1,X1,X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.96.2.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.382.0.1',plain,
% 0.79/1.41 ( true = p1(X1,X1,X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.382.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.382.1.0',plain,
% 0.79/1.41 ( true = p1(X1,X1,X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.382.0.1']),
% 0.79/1.41 [weight('<29,322,96,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.382.2.0',plain,
% 0.79/1.41 ( p1(X1,X1,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_382]).
% 0.79/1.41 cnf('0.383.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,n2(X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.76.2.0','0.382.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.383.0.1',plain,
% 0.79/1.41 ( true = n2(X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.383.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.383.1.0',plain,
% 0.79/1.41 ( true = n2(X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.383.0.1']),
% 0.79/1.41 [weight('<11,382,76,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.383.2.0',plain,
% 0.79/1.41 ( n2(X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_383]).
% 0.79/1.41 cnf('0.386.0.0',plain,
% 0.79/1.41 ( ifeq(n2(X1),true,p3(X1,X1,X1),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.252.2.0'])).
% 0.79/1.41 cnf('0.386.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,p3(X1,X1,X1),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.386.0.0','0.383.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.386.0.2',plain,
% 0.79/1.41 ( p3(X1,X1,X1) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.386.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.386.1.0',plain,
% 0.79/1.41 ( p3(X1,X1,X1) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.386.0.2']),
% 0.79/1.41 [weight('<29,252,383,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.386.2.0',plain,
% 0.79/1.41 ( p3(X1,X1,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.386.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_386]).
% 0.79/1.41 cnf('0.389.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,p1(X1,X1,b),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.97.2.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.389.0.1',plain,
% 0.79/1.41 ( true = p1(X1,X1,b) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.389.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.389.1.0',plain,
% 0.79/1.41 ( true = p1(X1,X1,b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.389.0.1']),
% 0.79/1.41 [weight('<29,322,97,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.389.2.0',plain,
% 0.79/1.41 ( p1(X1,X1,b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.389.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_389]).
% 0.79/1.41 cnf('0.424.0.0',plain,
% 0.79/1.41 ( true = ifeq(s1(X1),true,ifeq(true,true,s1(X2),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.224.2.0','0.324.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.424.0.1',plain,
% 0.79/1.41 ( true = ifeq(s1(X1),true,s1(X2),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.424.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.424.1.0',plain,
% 0.79/1.41 ( true = ifeq(s1(X1),true,s1(X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.424.0.1']),
% 0.79/1.41 [weight('<71,324,224,[0,0,0,5]>')]).
% 0.79/1.41 cnf('0.424.2.0',plain,
% 0.79/1.41 ( ifeq(s1(X1),true,s1(X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.424.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_424]).
% 0.79/1.41 cnf('0.425.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,s1(X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.424.2.0','0.346.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.425.0.1',plain,
% 0.79/1.41 ( true = s1(X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.425.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.425.1.0',plain,
% 0.79/1.41 ( true = s1(X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.425.0.1']),
% 0.79/1.41 [weight('<11,424,346,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.425.2.0',plain,
% 0.79/1.41 ( s1(X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.425.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_425]).
% 0.79/1.41 cnf('0.462.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(l1(X1,X2),true,s4(X1),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.210.2.0','0.386.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.462.0.1',plain,
% 0.79/1.41 ( true = ifeq(l1(X1,X2),true,s4(X1),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.462.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.462.1.0',plain,
% 0.79/1.41 ( true = ifeq(l1(X1,X2),true,s4(X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.462.0.1']),
% 0.79/1.41 [weight('<89,386,210,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.462.2.0',plain,
% 0.79/1.41 ( ifeq(l1(X1,X2),true,s4(X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.462.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_462]).
% 0.79/1.41 cnf('0.467.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,s4(d),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.462.2.0','0.358.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.467.0.1',plain,
% 0.79/1.41 ( true = s4(d) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.467.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.467.1.0',plain,
% 0.79/1.41 ( true = s4(d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.467.0.1']),
% 0.79/1.41 [weight('<11,462,358,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.467.2.0',plain,
% 0.79/1.41 ( s4(d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.467.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_467]).
% 0.79/1.41 cnf('0.505.0.0',plain,
% 0.79/1.41 ( ifeq(p1(X1,X1,X1),true,ifeq(k0(X2),true,q2(X1,X2,X2),true),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.78.2.0'])).
% 0.79/1.41 cnf('0.505.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,ifeq(k0(X2),true,q2(X1,X2,X2),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.505.0.0','0.382.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.505.0.2',plain,
% 0.79/1.41 ( ifeq(k0(X2),true,q2(X1,X2,X2),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.505.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.505.1.0',plain,
% 0.79/1.41 ( ifeq(k0(X2),true,q2(X1,X2,X2),true) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.505.0.2']),
% 0.79/1.41 [weight('<109,78,382,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.505.2.0',plain,
% 0.79/1.41 ( ifeq(k0(X1),true,q2(X2,X1,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.505.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_505]).
% 0.79/1.41 cnf('0.506.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,q2(X1,b,b),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.505.2.0','0.344.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.506.0.1',plain,
% 0.79/1.41 ( true = q2(X1,b,b) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.506.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.506.1.0',plain,
% 0.79/1.41 ( true = q2(X1,b,b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.506.0.1']),
% 0.79/1.41 [weight('<29,505,344,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.506.2.0',plain,
% 0.79/1.41 ( q2(X1,b,b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.506.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_506]).
% 0.79/1.41 cnf('0.508.0.0',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,ifeq(s1(b),true,s2(X1),true),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.170.2.0'])).
% 0.79/1.41 cnf('0.508.0.1',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,ifeq(true,true,s2(X1),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.508.0.0','0.346.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.508.0.2',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,s2(X1),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.508.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3','L')]).
% 0.79/1.41 cnf('0.508.1.0',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,s2(X1),true) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.508.0.2']),
% 0.79/1.41 [weight('<109,170,346,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.508.2.0',plain,
% 0.79/1.41 ( ifeq(q2(b,X1,b),true,s2(X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.508.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_508]).
% 0.79/1.41 cnf('0.603.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.297.2.0','0.467.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.603.0.1',plain,
% 0.79/1.41 ( true = ifeq(m4(e,e),true,m5(d,d),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.603.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.603.1.0',plain,
% 0.79/1.41 ( true = ifeq(m4(e,e),true,m5(d,d),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.603.0.1']),
% 0.79/1.41 [weight('<109,467,297,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.603.2.0',plain,
% 0.79/1.41 ( ifeq(m4(e,e),true,m5(d,d),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.603.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_603]).
% 0.79/1.41 cnf('0.821.0.0',plain,
% 0.79/1.41 ( true = ifeq(p1(a,X1,a),true,ifeq(true,true,p1(X1,X2,a),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.74.2.0','0.320.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.821.0.1',plain,
% 0.79/1.41 ( true = ifeq(p1(a,X1,a),true,p1(X1,X2,a),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.821.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.821.1.0',plain,
% 0.79/1.41 ( true = ifeq(p1(a,X1,a),true,p1(X1,X2,a),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.821.0.1']),
% 0.79/1.41 [weight('<155,320,74,[0,0,0,7]>')]).
% 0.79/1.41 cnf('0.821.2.0',plain,
% 0.79/1.41 ( ifeq(p1(a,X1,a),true,p1(X1,X2,a),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.821.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_821]).
% 0.79/1.41 cnf('0.822.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,p1(a,X1,a),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.821.2.0','0.382.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.822.0.1',plain,
% 0.79/1.41 ( true = p1(a,X1,a) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.822.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.822.1.0',plain,
% 0.79/1.41 ( true = p1(a,X1,a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.822.0.1']),
% 0.79/1.41 [weight('<29,821,382,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.822.2.0',plain,
% 0.79/1.41 ( p1(a,X1,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.822.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_822]).
% 0.79/1.41 cnf('0.823.0.0',plain,
% 0.79/1.41 ( ifeq(p1(a,X1,a),true,p1(X1,X2,a),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.821.2.0'])).
% 0.79/1.41 cnf('0.823.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,p1(X1,X2,a),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.823.0.0','0.822.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.823.0.2',plain,
% 0.79/1.41 ( p1(X1,X2,a) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.823.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.823.1.0',plain,
% 0.79/1.41 ( p1(X1,X2,a) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.823.0.2']),
% 0.79/1.41 [weight('<29,821,822,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.823.2.0',plain,
% 0.79/1.41 ( p1(X1,X2,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.823.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_823]).
% 0.79/1.41 cnf('0.850.0.0',plain,
% 0.79/1.41 ( true = ifeq(n1(a,X1,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X1,X1),true),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.53.2.0','0.353.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.3.1','L')]).
% 0.79/1.41 cnf('0.850.0.1',plain,
% 0.79/1.41 ( true = ifeq(n1(a,X1,a),true,ifeq(true,true,ifeq(true,true,n1(a,X1,X1),true),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.850.0.0','0.335.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3.1','L')]).
% 0.79/1.41 cnf('0.850.0.2',plain,
% 0.79/1.41 ( true = ifeq(n1(a,X1,a),true,ifeq(true,true,n1(a,X1,X1),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.850.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.850.0.3',plain,
% 0.79/1.41 ( true = ifeq(n1(a,X1,a),true,n1(a,X1,X1),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.850.0.2','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.850.1.0',plain,
% 0.79/1.41 ( true = ifeq(n1(a,X1,a),true,n1(a,X1,X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.850.0.3']),
% 0.79/1.41 [weight('<155,353,53,[0,0,0,11]>')]).
% 0.79/1.41 cnf('0.850.2.0',plain,
% 0.79/1.41 ( ifeq(n1(a,X1,a),true,n1(a,X1,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.850.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_850]).
% 0.79/1.41 cnf('0.878.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(p1(b,b,b),true,ifeq(n1(X1,b,b),true,q2(b,X1,b),true),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.163.2.0','0.506.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.878.0.1',plain,
% 0.79/1.41 ( true = ifeq(p1(b,b,b),true,ifeq(n1(X1,b,b),true,q2(b,X1,b),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.878.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.878.0.2',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(n1(X1,b,b),true,q2(b,X1,b),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.878.0.1','0.389.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.1','L')]).
% 0.79/1.41 cnf('0.878.0.3',plain,
% 0.79/1.41 ( true = ifeq(n1(X1,b,b),true,q2(b,X1,b),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.878.0.2','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.878.1.0',plain,
% 0.79/1.41 ( true = ifeq(n1(X1,b,b),true,q2(b,X1,b),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.878.0.3']),
% 0.79/1.41 [weight('<155,506,163,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.878.2.0',plain,
% 0.79/1.41 ( ifeq(n1(X1,b,b),true,q2(b,X1,b),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.878.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_878]).
% 0.79/1.41 cnf('0.986.0.0',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(p0(b,X2),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.141.2.0'])).
% 0.79/1.41 cnf('0.986.0.1',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(true,true,ifeq(s0(b),true,n1(X1,X2,X1),true),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.986.0.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.986.0.2',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.986.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3','L')]).
% 0.79/1.41 cnf('0.986.1.0',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(s0(b),true,n1(X1,X2,X1),true),true) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.986.0.2']),
% 0.79/1.41 [weight('<239,141,322,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.986.1.1',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,ifeq(true,true,n1(X1,X2,X1),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.986.1.0','0.332.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.986.1.2',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,n1(X1,X2,X1),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.986.1.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3','L')]).
% 0.79/1.41 cnf('0.986.2.0',plain,
% 0.79/1.41 ( ifeq(l0(X1),true,n1(X1,X2,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.986.1.2',theory(equality)]),
% 0.79/1.41 [u,rule_986]).
% 0.79/1.41 cnf('0.989.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,n1(a,X1,a),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.986.2.0','0.335.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.989.0.1',plain,
% 0.79/1.41 ( true = n1(a,X1,a) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.989.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.989.1.0',plain,
% 0.79/1.41 ( true = n1(a,X1,a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.989.0.1']),
% 0.79/1.41 [weight('<29,986,335,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.989.2.0',plain,
% 0.79/1.41 ( n1(a,X1,a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.989.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_989]).
% 0.79/1.41 cnf('0.991.0.0',plain,
% 0.79/1.41 ( ifeq(n1(a,X1,a),true,n1(a,X1,X1),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.850.2.0'])).
% 0.79/1.41 cnf('0.991.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,n1(a,X1,X1),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.991.0.0','0.989.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.991.0.2',plain,
% 0.79/1.41 ( n1(a,X1,X1) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.991.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.991.1.0',plain,
% 0.79/1.41 ( n1(a,X1,X1) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.991.0.2']),
% 0.79/1.41 [weight('<29,850,989,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.991.2.0',plain,
% 0.79/1.41 ( n1(a,X1,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.991.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_991]).
% 0.79/1.41 cnf('0.994.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,q2(b,a,b),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.878.2.0','0.991.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.994.0.1',plain,
% 0.79/1.41 ( true = q2(b,a,b) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.994.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.994.1.0',plain,
% 0.79/1.41 ( true = q2(b,a,b) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.994.0.1']),
% 0.79/1.41 [weight('<29,991,878,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.994.2.0',plain,
% 0.79/1.41 ( q2(b,a,b) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.994.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_994]).
% 0.79/1.41 cnf('0.995.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,s2(a),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.508.2.0','0.994.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.995.0.1',plain,
% 0.79/1.41 ( true = s2(a) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.995.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.995.1.0',plain,
% 0.79/1.41 ( true = s2(a) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.995.0.1']),
% 0.79/1.41 [weight('<11,994,508,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.995.2.0',plain,
% 0.79/1.41 ( s2(a) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.995.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_995]).
% 0.79/1.41 cnf('0.1050.0.0',plain,
% 0.79/1.41 ( true = ifeq(q2(a,a,X1),true,ifeq(p1(X1,X1,a),true,ifeq(true,true,q2(X1,a,X1),true),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.163.2.0','0.989.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.3.1','L')]).
% 0.79/1.41 cnf('0.1050.0.1',plain,
% 0.79/1.41 ( true = ifeq(q2(a,a,X1),true,ifeq(true,true,ifeq(true,true,q2(X1,a,X1),true),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1050.0.0','0.823.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3.1','L')]).
% 0.79/1.41 cnf('0.1050.0.2',plain,
% 0.79/1.41 ( true = ifeq(q2(a,a,X1),true,ifeq(true,true,q2(X1,a,X1),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1050.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.1050.0.3',plain,
% 0.79/1.41 ( true = ifeq(q2(a,a,X1),true,q2(X1,a,X1),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1050.0.2','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.1050.1.0',plain,
% 0.79/1.41 ( true = ifeq(q2(a,a,X1),true,q2(X1,a,X1),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1050.0.3']),
% 0.79/1.41 [weight('<155,989,163,[0,0,0,13]>')]).
% 0.79/1.41 cnf('0.1050.2.0',plain,
% 0.79/1.41 ( ifeq(q2(a,a,X1),true,q2(X1,a,X1),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1050.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1050]).
% 0.79/1.41 cnf('0.1064.0.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,d),true,ifeq(r0(X2),true,ifeq(true,true,l1(d,X3),true),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.87.2.0','0.314.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.3.1','L')]).
% 0.79/1.41 cnf('0.1064.0.1',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,d),true,ifeq(r0(X2),true,l1(d,X3),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1064.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3.3','L')]).
% 0.79/1.41 cnf('0.1064.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,d),true,ifeq(r0(X2),true,l1(d,X3),true),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1064.0.1']),
% 0.79/1.41 [weight('<239,314,87,[0,0,0,10]>')]).
% 0.79/1.41 cnf('0.1064.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,d),true,ifeq(r0(X2),true,l1(d,X3),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1064.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1064]).
% 0.79/1.41 cnf('0.1065.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(r0(X1),true,l1(d,X2),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1064.2.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1065.0.1',plain,
% 0.79/1.41 ( true = ifeq(r0(X1),true,l1(d,X2),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1065.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1065.1.0',plain,
% 0.79/1.41 ( true = ifeq(r0(X1),true,l1(d,X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1065.0.1']),
% 0.79/1.41 [weight('<89,1064,322,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.1065.2.0',plain,
% 0.79/1.41 ( ifeq(r0(X1),true,l1(d,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1065.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1065]).
% 0.79/1.41 cnf('0.1066.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,l1(d,X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1065.2.0','0.330.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1066.0.1',plain,
% 0.79/1.41 ( true = l1(d,X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1066.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1066.1.0',plain,
% 0.79/1.41 ( true = l1(d,X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1066.0.1']),
% 0.79/1.41 [weight('<19,1065,330,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.1066.2.0',plain,
% 0.79/1.41 ( l1(d,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1066.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1066]).
% 0.79/1.41 cnf('0.1067.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,q2(X1,X1,d),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.156.2.0','0.1066.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1067.0.1',plain,
% 0.79/1.41 ( true = q2(X1,X1,d) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1067.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1067.1.0',plain,
% 0.79/1.41 ( true = q2(X1,X1,d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1067.0.1']),
% 0.79/1.41 [weight('<29,1066,156,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.1067.2.0',plain,
% 0.79/1.41 ( q2(X1,X1,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1067.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1067]).
% 0.79/1.41 cnf('0.1070.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,q2(d,a,d),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1050.2.0','0.1067.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1070.0.1',plain,
% 0.79/1.41 ( true = q2(d,a,d) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1070.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1070.1.0',plain,
% 0.79/1.41 ( true = q2(d,a,d) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1070.0.1']),
% 0.79/1.41 [weight('<29,1067,1050,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.1070.2.0',plain,
% 0.79/1.41 ( q2(d,a,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1070.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1070]).
% 0.79/1.41 cnf('0.1075.0.0',plain,
% 0.79/1.41 ( true = ifeq(s2(a),true,ifeq(true,true,ifeq(m0(d,X1,X2),true,s3(a,X2),true),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.254.2.0','0.1070.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.1075.0.1',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(true,true,ifeq(m0(d,X1,X2),true,s3(a,X2),true),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1075.0.0','0.995.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.1','L')]).
% 0.79/1.41 cnf('0.1075.0.2',plain,
% 0.79/1.41 ( true = ifeq(true,true,ifeq(m0(d,X1,X2),true,s3(a,X2),true),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1075.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1075.0.3',plain,
% 0.79/1.41 ( true = ifeq(m0(d,X1,X2),true,s3(a,X2),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1075.0.2','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1075.1.0',plain,
% 0.79/1.41 ( true = ifeq(m0(d,X1,X2),true,s3(a,X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1075.0.3']),
% 0.79/1.41 [weight('<131,1070,254,[0,0,0,5]>')]).
% 0.79/1.41 cnf('0.1075.2.0',plain,
% 0.79/1.41 ( ifeq(m0(d,X1,X2),true,s3(a,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1075.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1075]).
% 0.79/1.41 cnf('0.1076.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,s3(a,X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1075.2.0','0.314.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1076.0.1',plain,
% 0.79/1.41 ( true = s3(a,X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1076.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1076.1.0',plain,
% 0.79/1.41 ( true = s3(a,X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1076.0.1']),
% 0.79/1.41 [weight('<19,1075,314,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.1076.2.0',plain,
% 0.79/1.41 ( s3(a,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1076.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1076]).
% 0.79/1.41 cnf('0.1089.0.0',plain,
% 0.79/1.41 ( ifeq(s3(a,X1),true,ifeq(l2(X2,X3),true,m4(X1,X3),true),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.313.2.0'])).
% 0.79/1.41 cnf('0.1089.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,ifeq(l2(X2,X3),true,m4(X1,X3),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1089.0.0','0.1076.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1089.0.2',plain,
% 0.79/1.41 ( ifeq(l2(X2,X3),true,m4(X1,X3),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1089.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.1089.1.0',plain,
% 0.79/1.41 ( ifeq(l2(X2,X3),true,m4(X1,X3),true) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1089.0.2']),
% 0.79/1.41 [weight('<109,313,1076,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.1089.2.0',plain,
% 0.79/1.41 ( ifeq(l2(X1,X2),true,m4(X3,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1089.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_1089]).
% 0.79/1.41 cnf('0.1440.0.0',plain,
% 0.79/1.41 ( ifeq(s1(X1),true,ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.223.2.0'])).
% 0.79/1.41 cnf('0.1440.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1440.0.0','0.425.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1440.0.2',plain,
% 0.79/1.41 ( ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1440.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.1440.1.0',plain,
% 0.79/1.41 ( ifeq(p0(X2,X2),true,ifeq(m0(X3,X1,X4),true,l2(X4,X4),true),true) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1440.0.2']),
% 0.79/1.41 [weight('<305,223,425,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.1440.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X1),true,ifeq(m0(X2,X3,X4),true,l2(X4,X4),true),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1440.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_1440]).
% 0.79/1.41 cnf('0.1441.0.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X1),true,ifeq(true,true,l2(X2,X2),true),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1440.2.0','0.314.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.3.1','L')]).
% 0.79/1.41 cnf('0.1441.0.1',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X1),true,l2(X2,X2),true) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1441.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R.3','L')]).
% 0.79/1.41 cnf('0.1441.1.0',plain,
% 0.79/1.41 ( true = ifeq(p0(X1,X1),true,l2(X2,X2),true) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1441.0.1']),
% 0.79/1.41 [weight('<109,1440,314,[1,0,0,6]>')]).
% 0.79/1.41 cnf('0.1441.2.0',plain,
% 0.79/1.41 ( ifeq(p0(X1,X1),true,l2(X2,X2),true) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1441.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1441]).
% 0.79/1.41 cnf('0.1442.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,l2(X1,X1),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1441.2.0','0.322.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1442.0.1',plain,
% 0.79/1.41 ( true = l2(X1,X1) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1442.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1442.1.0',plain,
% 0.79/1.41 ( true = l2(X1,X1) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1442.0.1']),
% 0.79/1.41 [weight('<19,1441,322,[1,0,0,1]>')]).
% 0.79/1.41 cnf('0.1442.2.0',plain,
% 0.79/1.41 ( l2(X1,X1) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1442.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1442]).
% 0.79/1.41 cnf('0.1444.0.0',plain,
% 0.79/1.41 ( true = ifeq(true,true,m4(X1,X2),true) ),
% 0.79/1.41 inference(cp,[status(thm)],['0.1089.2.0','0.1442.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1444.0.1',plain,
% 0.79/1.41 ( true = m4(X1,X2) ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1444.0.0','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('0.1444.1.0',plain,
% 0.79/1.41 ( true = m4(X1,X2) ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1444.0.1']),
% 0.79/1.41 [weight('<19,1442,1089,[0,0,0,1]>')]).
% 0.79/1.41 cnf('0.1444.2.0',plain,
% 0.79/1.41 ( m4(X1,X2) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1444.1.0',theory(equality)]),
% 0.79/1.41 [x,rule_1444]).
% 0.79/1.41 cnf('0.1446.0.0',plain,
% 0.79/1.41 ( ifeq(m4(e,e),true,m5(d,d),true) = true ),
% 0.79/1.41 inference(interreduction_right,[status(thm)],['0.603.2.0'])).
% 0.79/1.41 cnf('0.1446.0.1',plain,
% 0.79/1.41 ( ifeq(true,true,m5(d,d),true) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1446.0.0','0.1444.2.0',theory(equality)]),
% 0.79/1.41 [pos('L.1','L')]).
% 0.79/1.41 cnf('0.1446.0.2',plain,
% 0.79/1.41 ( m5(d,d) = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['0.1446.0.1','0.1.2.0',theory(equality)]),
% 0.79/1.41 [pos('L','L')]).
% 0.79/1.41 cnf('0.1446.1.0',plain,
% 0.79/1.41 ( m5(d,d) = true ),
% 0.79/1.41 inference(weigh,[status(thm)],['0.1446.0.2']),
% 0.79/1.41 [weight('<19,603,1444,[0,0,0,0]>')]).
% 0.79/1.41 cnf('0.1446.2.0',plain,
% 0.79/1.41 ( m5(d,d) = true ),
% 0.79/1.41 inference(orient,[status(thm)],['0.1446.1.0',theory(equality)]),
% 0.79/1.41 [u,rule_1446]).
% 0.79/1.41 cnf('1.0.0.0',conjecture,
% 0.79/1.41 ( true = m5(d,d) ),
% 0.79/1.41 file('/tmp/WALDMEISTER_22877_n016',conjecture_1)).
% 0.79/1.41 cnf('1.0.0.1',plain,
% 0.79/1.41 ( true = true ),
% 0.79/1.41 inference(reduction,[status(thm)],['1.0.0.0','0.1446.2.0',theory(equality)]),
% 0.79/1.41 [pos('R','L')]).
% 0.79/1.41 cnf('1.0.0.2',plain,
% 0.79/1.41 ( $true ),
% 0.79/1.41 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.79/1.41 [conjecture_1]).
% 0.79/1.41
% 0.79/1.41 Proved Goals:
% 0.79/1.41 No. 1: true ?= m5(d,d) joined, current: true = true
% 0.79/1.41 1 goal was specified, which was proved.
% 0.79/1.41 % SZS output end CNFRefutation
% 0.79/1.41 #END OF PROOF
% 0.79/1.41
% 0.79/1.41 Problem WALDMEISTER_22877_n016
% 0.79/1.41 CPs.gen 6995
% 0.79/1.41 CPs.reexp 0
% 0.79/1.41 Select 2113
% 0.79/1.41 R 1446
% 0.79/1.41 E 0
% 0.79/1.41 vsize 12.1M
% 0.79/1.41 rss 9.2M
% 0.79/1.41 process.time 0.250s
% 0.79/1.41 wallclock.time 0.250s
% 0.79/1.41 status S
% 0.79/1.41
% 0.79/1.41
% 0.79/1.41 Waldmeister states: Goal proved.
% 0.79/1.41 % SZS status Unsatisfiable
%------------------------------------------------------------------------------