TSTP Solution File: CAT004-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 : 300s
% DateTime : Wed Aug 30 18:13:40 EDT 2023
% Result : Unsatisfiable 0.81s 0.85s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 00:41:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.72/0.85 %-------------------------------------------
% 0.72/0.85 % File :CSE---1.6
% 0.72/0.85 % Problem :theBenchmark
% 0.72/0.85 % Transform :cnf
% 0.72/0.85 % Format :tptp:raw
% 0.72/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.85
% 0.72/0.85 % Result :Theorem 0.260000s
% 0.72/0.85 % Output :CNFRefutation 0.260000s
% 0.72/0.85 %-------------------------------------------
% 0.72/0.85 %--------------------------------------------------------------------------
% 0.72/0.85 % File : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.72/0.85 % Domain : Category Theory
% 0.72/0.85 % Problem : X and Y epimorphisms, XY well-defined => XY epimorphism
% 0.72/0.85 % Version : [Sco79] axioms : Reduced > Complete.
% 0.72/0.85 % English : If x and y are epimorphisms and xy is well-defined, then
% 0.72/0.85 % xy is an epimorphism.
% 0.72/0.85
% 0.72/0.85 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.72/0.85 % Source : [ANL]
% 0.72/0.85 % Names : p4.ver3.in [ANL]
% 0.72/0.85
% 0.72/0.85 % Status : Unsatisfiable
% 0.81/0.85 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.43 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.21 v3.2.0, 0.38 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.50 v2.4.0, 0.44 v2.2.1, 0.44 v2.2.0, 0.22 v2.1.0, 0.56 v2.0.0
% 0.81/0.85 % Syntax : Number of clauses : 23 ( 7 unt; 2 nHn; 18 RR)
% 0.81/0.85 % Number of literals : 47 ( 23 equ; 22 neg)
% 0.81/0.85 % Maximal clause size : 4 ( 2 avg)
% 0.81/0.85 % Maximal term depth : 3 ( 1 avg)
% 0.81/0.85 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.81/0.85 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.81/0.85 % Number of variables : 37 ( 4 sgn)
% 0.81/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.81/0.85
% 0.81/0.85 % Comments : Axioms simplified by Art Quaife.
% 0.81/0.85 %--------------------------------------------------------------------------
% 0.81/0.85 %----Include Scott's axioms for category theory
% 0.81/0.85 include('Axioms/CAT003-0.ax').
% 0.81/0.85 %--------------------------------------------------------------------------
% 0.81/0.85 cnf(assume_ab_exists,hypothesis,
% 0.81/0.85 there_exists(compose(a,b)) ).
% 0.81/0.85
% 0.81/0.85 cnf(cancellation_for_product1,hypothesis,
% 0.81/0.85 ( compose(X,a) != Y
% 0.81/0.85 | compose(Z,a) != Y
% 0.81/0.85 | X = Z ) ).
% 0.81/0.85
% 0.81/0.85 cnf(cancellation_for_product2,hypothesis,
% 0.81/0.85 ( compose(X,b) != Y
% 0.81/0.85 | compose(Z,b) != Y
% 0.81/0.85 | X = Z ) ).
% 0.81/0.85
% 0.81/0.85 cnf(assume_h_exists,hypothesis,
% 0.81/0.85 there_exists(h) ).
% 0.81/0.85
% 0.81/0.85 cnf(h_ab_equals_g_ab,hypothesis,
% 0.81/0.85 compose(h,compose(a,b)) = compose(g,compose(a,b)) ).
% 0.81/0.85
% 0.81/0.85 cnf(prove_h_equals_g,negated_conjecture,
% 0.81/0.85 h != g ).
% 0.81/0.85
% 0.81/0.85 %--------------------------------------------------------------------------
% 0.81/0.85 %-------------------------------------------
% 0.81/0.85 % Proof found
% 0.81/0.85 % SZS status Theorem for theBenchmark
% 0.81/0.85 % SZS output start Proof
% 0.81/0.85 %ClaNum:34(EqnAxiom:12)
% 0.81/0.85 %VarNum:70(SingletonVarNum:33)
% 0.81/0.85 %MaxLitNum:3
% 0.81/0.85 %MaxfuncDepth:2
% 0.81/0.85 %SharedTerms:11
% 0.81/0.85 %goalClause: 19
% 0.81/0.85 %singleGoalClaCount:1
% 0.81/0.85 [13]P1(a1)
% 0.81/0.85 [19]~E(a1,a7)
% 0.81/0.85 [16]P1(f3(a5,a6))
% 0.81/0.85 [17]E(f3(a1,f3(a5,a6)),f3(a7,f3(a5,a6)))
% 0.81/0.85 [14]E(f3(x141,f2(x141)),x141)
% 0.81/0.85 [15]E(f3(f4(x151),x151),x151)
% 0.81/0.85 [18]E(f3(f3(x181,x182),x183),f3(x181,f3(x182,x183)))
% 0.81/0.85 [20]P1(x201)+~P1(f2(x201))
% 0.81/0.85 [21]P1(x211)+~P1(f4(x211))
% 0.81/0.85 [22]~P2(x221,x222)+E(x221,x222)
% 0.81/0.85 [24]P1(x241)+~P2(x242,x241)
% 0.81/0.85 [25]P1(x251)+~P2(x251,x252)
% 0.81/0.85 [27]E(x271,x272)+P1(f8(x271,x272))
% 0.81/0.85 [31]E(f4(x311),f2(x312))+~P1(f3(x312,x311))
% 0.81/0.85 [32]P1(f2(x321))+~P1(f3(x321,x322))
% 0.81/0.85 [33]P1(f4(x331))+~P1(f3(x331,x332))
% 0.81/0.85 [23]~E(x231,x232)+~P1(x231)+P2(x231,x232)
% 0.81/0.85 [28]E(x281,x282)+E(f8(x281,x282),x282)+E(f8(x281,x282),x281)
% 0.81/0.85 [34]~E(f4(x342),f2(x341))+~P1(f2(x341))+P1(f3(x341,x342))
% 0.81/0.85 [29]E(x291,x292)+~E(f3(x291,a5),x293)+~E(f3(x292,a5),x293)
% 0.81/0.85 [30]E(x301,x302)+~E(f3(x301,a6),x303)+~E(f3(x302,a6),x303)
% 0.81/0.85 %EqnAxiom
% 0.81/0.85 [1]E(x11,x11)
% 0.81/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.85 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.81/0.85 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.81/0.85 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.81/0.85 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.81/0.85 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 0.81/0.85 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 0.81/0.85 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.81/0.85 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.81/0.85 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.81/0.85
% 0.81/0.85 %-------------------------------------------
% 0.81/0.86 cnf(35,plain,
% 0.81/0.86 (E(f3(a7,f3(a5,a6)),f3(a1,f3(a5,a6)))),
% 0.81/0.86 inference(scs_inference,[],[17,2])).
% 0.81/0.86 cnf(36,plain,
% 0.81/0.86 (~P2(a1,a7)),
% 0.81/0.86 inference(scs_inference,[],[19,17,2,22])).
% 0.81/0.86 cnf(38,plain,
% 0.81/0.86 (E(f4(a6),f2(a5))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,2,22,31])).
% 0.81/0.86 cnf(40,plain,
% 0.81/0.86 (~E(a1,f3(a7,f2(a7)))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,2,22,31,3])).
% 0.81/0.86 cnf(41,plain,
% 0.81/0.86 (E(f3(x411,f2(x411)),x411)),
% 0.81/0.86 inference(rename_variables,[],[14])).
% 0.81/0.86 cnf(42,plain,
% 0.81/0.86 (E(f8(x421,f3(x422,f2(x422))),f8(x421,x422))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9])).
% 0.81/0.86 cnf(43,plain,
% 0.81/0.86 (E(f8(f3(x431,f2(x431)),x432),f8(x431,x432))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9,8])).
% 0.81/0.86 cnf(44,plain,
% 0.81/0.86 (E(f4(f3(x441,f2(x441))),f4(x441))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9,8,7])).
% 0.81/0.86 cnf(45,plain,
% 0.81/0.86 (E(f3(x451,f3(x452,f2(x452))),f3(x451,x452))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9,8,7,6])).
% 0.81/0.86 cnf(46,plain,
% 0.81/0.86 (E(f3(f3(x461,f2(x461)),x462),f3(x461,x462))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9,8,7,6,5])).
% 0.81/0.86 cnf(50,plain,
% 0.81/0.86 (P1(f2(a5))),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,2,22,31,3,9,8,7,6,5,4,33,32])).
% 0.81/0.86 cnf(55,plain,
% 0.81/0.86 (~P2(f3(f4(a1),a1),a7)),
% 0.81/0.86 inference(scs_inference,[],[19,16,17,14,41,15,2,22,31,3,9,8,7,6,5,4,33,32,27,12,11])).
% 0.81/0.86 cnf(56,plain,
% 0.81/0.86 (~E(a1,x561)+P1(x561)),
% 0.81/0.86 inference(scs_inference,[],[19,13,16,17,14,41,15,2,22,31,3,9,8,7,6,5,4,33,32,27,12,11,10])).
% 0.81/0.86 cnf(57,plain,
% 0.81/0.86 (~E(a1,f3(f4(a1),a1))+~E(f3(f4(a1),a1),a7)),
% 0.81/0.86 inference(scs_inference,[],[19,13,16,17,14,41,15,2,22,31,3,9,8,7,6,5,4,33,32,27,12,11,10,23])).
% 0.81/0.86 cnf(59,plain,
% 0.81/0.86 (~E(a1,f3(f4(a1),a1))+~E(f3(a7,a6),f3(f4(a1),f3(a1,a6)))),
% 0.81/0.86 inference(scs_inference,[],[19,13,16,17,14,41,15,18,2,22,31,3,9,8,7,6,5,4,33,32,27,12,11,10,23,30])).
% 0.81/0.86 cnf(60,plain,
% 0.81/0.86 (E(f3(f3(x601,x602),x603),f3(x601,f3(x602,x603)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(62,plain,
% 0.81/0.86 (~E(a1,f3(f4(a1),a1))+~E(f3(a7,a5),f3(f4(a1),f3(a1,a5)))),
% 0.81/0.86 inference(scs_inference,[],[19,13,16,17,14,41,15,18,60,2,22,31,3,9,8,7,6,5,4,33,32,27,12,11,10,23,30,29])).
% 0.81/0.86 cnf(71,plain,
% 0.81/0.86 (~E(f3(a1,a6),f3(a7,f3(f2(a7),a6)))),
% 0.81/0.86 inference(scs_inference,[],[18,40,30])).
% 0.81/0.86 cnf(72,plain,
% 0.81/0.86 (E(f3(f3(x721,x722),x723),f3(x721,f3(x722,x723)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(73,plain,
% 0.81/0.86 (E(x731,x732)+~E(f3(x732,a6),x733)+~E(f3(x731,a6),x733)),
% 0.81/0.86 inference(rename_variables,[],[30])).
% 0.81/0.86 cnf(75,plain,
% 0.81/0.86 (E(f3(f3(x751,x752),x753),f3(x751,f3(x752,x753)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(76,plain,
% 0.81/0.86 (E(x761,x762)+~E(f3(x762,a5),x763)+~E(f3(x761,a5),x763)),
% 0.81/0.86 inference(rename_variables,[],[29])).
% 0.81/0.86 cnf(77,plain,
% 0.81/0.86 (~E(a7,a1)),
% 0.81/0.86 inference(scs_inference,[],[19,18,72,40,30,29,2])).
% 0.81/0.86 cnf(78,plain,
% 0.81/0.86 (~P2(f3(a1,f2(a1)),a7)),
% 0.81/0.86 inference(scs_inference,[],[19,14,18,72,36,40,30,29,2,11])).
% 0.81/0.86 cnf(80,plain,
% 0.81/0.86 (~P2(a1,f3(f4(a7),a7))),
% 0.81/0.86 inference(scs_inference,[],[19,14,15,18,72,36,40,30,29,2,11,12])).
% 0.81/0.86 cnf(84,plain,
% 0.81/0.86 (~E(f3(a1,a6),x841)+~E(f3(a7,a6),x841)),
% 0.81/0.86 inference(scs_inference,[],[19,14,15,18,72,36,40,50,30,29,2,11,12,20,73])).
% 0.81/0.86 cnf(86,plain,
% 0.81/0.86 (~E(a1,x861)+~E(f3(a7,a6),f3(x861,a6))),
% 0.81/0.86 inference(scs_inference,[],[19,14,15,18,72,36,40,50,30,29,2,11,12,20,73,5])).
% 0.81/0.86 cnf(87,plain,
% 0.81/0.86 (E(f3(f3(a1,a5),a6),f3(a7,f3(a5,a6)))+~E(f3(a7,a6),f3(x871,a6))),
% 0.81/0.86 inference(scs_inference,[],[19,17,14,15,18,72,75,36,40,50,30,29,2,11,12,20,73,5,3])).
% 0.81/0.86 cnf(91,plain,
% 0.81/0.86 (~E(f3(a1,a5),x911)+~E(f3(a7,a6),f3(x912,a6))+~E(f3(a7,a5),x911)),
% 0.81/0.86 inference(scs_inference,[],[19,17,14,15,18,72,75,36,40,50,30,29,2,11,12,20,73,5,3,23,76])).
% 0.81/0.86 cnf(93,plain,
% 0.81/0.86 (~E(a5,x931)+~E(f3(a7,a6),f3(x932,a6))+~E(f3(a7,a5),f3(a1,x931))),
% 0.81/0.86 inference(scs_inference,[],[19,17,14,15,18,72,75,36,40,50,30,29,2,11,12,20,73,5,3,23,76,6])).
% 0.81/0.86 cnf(94,plain,
% 0.81/0.86 (E(f3(f3(a1,a5),a6),f3(a7,f3(a5,a6)))),
% 0.81/0.86 inference(equality_inference,[],[87])).
% 0.81/0.86 cnf(96,plain,
% 0.81/0.86 (~E(a7,f3(a1,f2(a1)))),
% 0.81/0.86 inference(scs_inference,[],[14,77,3])).
% 0.81/0.86 cnf(97,plain,
% 0.81/0.86 (E(f3(x971,f2(x971)),x971)),
% 0.81/0.86 inference(rename_variables,[],[14])).
% 0.81/0.86 cnf(98,plain,
% 0.81/0.86 (E(x981,f3(x981,f2(x981)))),
% 0.81/0.86 inference(scs_inference,[],[14,97,77,3,2])).
% 0.81/0.86 cnf(99,plain,
% 0.81/0.86 (E(f3(x991,f3(f4(x992),x992)),f3(x991,x992))),
% 0.81/0.86 inference(scs_inference,[],[14,97,15,77,3,2,6])).
% 0.81/0.86 cnf(100,plain,
% 0.81/0.86 (E(f3(f3(f4(x1001),x1001),x1002),f3(x1001,x1002))),
% 0.81/0.86 inference(scs_inference,[],[14,97,15,77,3,2,6,5])).
% 0.81/0.86 cnf(101,plain,
% 0.81/0.86 (~E(f3(a7,a6),f3(f3(a1,a6),f2(f3(a1,a6))))),
% 0.81/0.86 inference(scs_inference,[],[14,97,15,77,3,2,6,5,84])).
% 0.81/0.86 cnf(103,plain,
% 0.81/0.86 (P2(f3(a5,a6),x1031)+~E(f3(a5,a6),x1031)),
% 0.81/0.86 inference(scs_inference,[],[14,97,15,16,77,3,2,6,5,84,23])).
% 0.81/0.86 cnf(111,plain,
% 0.81/0.86 (P2(f3(a5,a6),f3(a5,a6))),
% 0.81/0.86 inference(equality_inference,[],[103])).
% 0.81/0.86 cnf(113,plain,
% 0.81/0.86 (E(x1131,f3(x1131,f2(x1131)))),
% 0.81/0.86 inference(rename_variables,[],[98])).
% 0.81/0.86 cnf(115,plain,
% 0.81/0.86 (P1(f3(a1,f2(a1)))),
% 0.81/0.86 inference(scs_inference,[],[98,113,103,56])).
% 0.81/0.86 cnf(116,plain,
% 0.81/0.86 (E(x1161,f3(x1161,f2(x1161)))),
% 0.81/0.86 inference(rename_variables,[],[98])).
% 0.81/0.86 cnf(117,plain,
% 0.81/0.86 (P1(f3(f3(a5,a6),f2(f3(a5,a6))))),
% 0.81/0.86 inference(scs_inference,[],[98,113,103,56,24])).
% 0.81/0.86 cnf(119,plain,
% 0.81/0.86 (~E(f3(a1,a6),f3(f3(a7,a6),f2(f3(a7,a6))))),
% 0.81/0.86 inference(scs_inference,[],[98,113,116,103,56,24,84])).
% 0.81/0.86 cnf(120,plain,
% 0.81/0.86 (E(x1201,f3(x1201,f2(x1201)))),
% 0.81/0.86 inference(rename_variables,[],[98])).
% 0.81/0.86 cnf(124,plain,
% 0.81/0.86 (~E(f3(a1,f2(a1)),a7)),
% 0.81/0.86 inference(scs_inference,[],[98,113,116,101,78,103,56,24,84,22,23])).
% 0.81/0.86 cnf(126,plain,
% 0.81/0.86 (~P2(f3(a1,f2(a1)),f3(f4(a7),a7))),
% 0.81/0.86 inference(scs_inference,[],[14,98,113,116,101,78,80,103,56,24,84,22,23,11])).
% 0.81/0.86 cnf(127,plain,
% 0.81/0.86 (E(f3(x1271,f2(x1271)),x1271)),
% 0.81/0.86 inference(rename_variables,[],[14])).
% 0.81/0.86 cnf(128,plain,
% 0.81/0.86 (~E(f3(f3(a1,a6),f2(f3(a1,a6))),f3(a7,a6))),
% 0.81/0.86 inference(scs_inference,[],[14,98,113,116,101,78,80,103,56,24,84,22,23,11,2])).
% 0.81/0.86 cnf(130,plain,
% 0.81/0.86 (E(f3(f3(x1301,x1302),x1303),f3(x1301,f3(x1302,x1303)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(131,plain,
% 0.81/0.86 (~P2(f3(f4(a1),a1),f3(a7,f2(a7)))),
% 0.81/0.86 inference(scs_inference,[],[35,18,14,127,98,113,116,101,55,78,80,103,56,24,84,22,23,11,2,3,12])).
% 0.81/0.86 cnf(134,plain,
% 0.81/0.86 (E(x1341,f3(x1341,f2(x1341)))),
% 0.81/0.86 inference(rename_variables,[],[98])).
% 0.81/0.86 cnf(139,plain,
% 0.81/0.86 (E(f3(f3(x1391,x1392),x1393),f3(x1391,f3(x1392,x1393)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(141,plain,
% 0.81/0.86 (~E(f3(a1,a5),f3(f3(a7,a5),f2(f3(a7,a5))))),
% 0.81/0.86 inference(scs_inference,[],[35,18,130,139,14,127,98,113,116,120,134,101,55,78,80,103,56,24,84,22,23,11,2,3,12,86,91,30,29])).
% 0.81/0.86 cnf(143,plain,
% 0.81/0.86 (E(f3(x1431,f2(x1431)),x1431)),
% 0.81/0.86 inference(rename_variables,[],[14])).
% 0.81/0.86 cnf(146,plain,
% 0.81/0.86 (E(f3(f3(x1461,f2(x1461)),x1462),f3(x1461,x1462))),
% 0.81/0.86 inference(rename_variables,[],[46])).
% 0.81/0.86 cnf(149,plain,
% 0.81/0.86 (E(f3(f3(x1491,f2(x1491)),x1492),f3(x1491,x1492))),
% 0.81/0.86 inference(rename_variables,[],[46])).
% 0.81/0.86 cnf(151,plain,
% 0.81/0.86 (~E(f3(a7,a6),f3(a1,a6))),
% 0.81/0.86 inference(scs_inference,[],[14,46,146,117,128,23,30,29,5])).
% 0.81/0.86 cnf(154,plain,
% 0.81/0.86 (E(f3(x1541,f3(x1542,x1543)),f3(f3(x1541,x1542),x1543))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,46,146,117,128,23,30,29,5,3,2])).
% 0.81/0.86 cnf(155,plain,
% 0.81/0.86 (~P2(f3(f4(a1),a1),f3(f3(a7,f2(a7)),f2(a7)))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,46,146,149,117,131,128,23,30,29,5,3,2,12])).
% 0.81/0.86 cnf(159,plain,
% 0.81/0.86 (P1(f2(f3(a5,a6)))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,46,146,149,117,131,128,115,23,30,29,5,3,2,12,31,32])).
% 0.81/0.86 cnf(162,plain,
% 0.81/0.86 (E(f4(f3(f4(x1621),x1621)),f4(x1621))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,15,46,146,149,117,131,128,115,23,30,29,5,3,2,12,31,32,8,7])).
% 0.81/0.86 cnf(166,plain,
% 0.81/0.86 (P1(f8(a7,f3(a1,f2(a1))))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,15,46,146,149,117,131,128,115,96,23,30,29,5,3,2,12,31,32,8,7,4,33,27])).
% 0.81/0.86 cnf(168,plain,
% 0.81/0.86 (E(f8(x1681,f3(f4(x1682),x1682)),f8(x1681,x1682))),
% 0.81/0.86 inference(scs_inference,[],[14,143,18,15,46,146,149,117,131,128,115,96,23,30,29,5,3,2,12,31,32,8,7,4,33,27,9])).
% 0.81/0.86 cnf(170,plain,
% 0.81/0.86 (~E(f3(a7,a5),f3(f3(a1,a5),f2(f3(a1,a5))))+~E(f3(a7,a6),f3(x1701,a6))),
% 0.81/0.86 inference(scs_inference,[],[14,143,35,18,15,46,146,149,117,131,128,115,96,98,23,30,29,5,3,2,12,31,32,8,7,4,33,27,9,11,91])).
% 0.81/0.86 cnf(174,plain,
% 0.81/0.86 (E(f3(f3(x1741,x1742),x1743),f3(x1741,f3(x1742,x1743)))),
% 0.81/0.86 inference(rename_variables,[],[18])).
% 0.81/0.86 cnf(180,plain,
% 0.81/0.87 (E(f8(x1801,f3(x1802,f2(x1802))),f8(x1801,x1802))),
% 0.81/0.87 inference(rename_variables,[],[42])).
% 0.81/0.87 cnf(183,plain,
% 0.81/0.87 (P2(f8(a7,a1),f8(a7,a1))),
% 0.81/0.87 inference(scs_inference,[],[18,174,42,180,151,166,38,30,29,23,5,11])).
% 0.81/0.87 cnf(184,plain,
% 0.81/0.87 (E(f8(x1841,f3(x1842,f2(x1842))),f8(x1841,x1842))),
% 0.81/0.87 inference(rename_variables,[],[42])).
% 0.81/0.87 cnf(185,plain,
% 0.81/0.87 (~E(f3(a1,f2(a1)),f3(a7,f2(a7)))),
% 0.81/0.87 inference(scs_inference,[],[14,18,174,42,180,151,166,124,38,30,29,23,5,11,3])).
% 0.81/0.87 cnf(188,plain,
% 0.81/0.87 (P2(f8(a7,a1),f3(f8(a7,a1),f2(f8(a7,a1))))),
% 0.81/0.87 inference(scs_inference,[],[14,18,174,42,180,141,151,166,124,38,98,30,29,23,5,11,3,2,12])).
% 0.81/0.87 cnf(192,plain,
% 0.81/0.87 (P1(f8(a7,a1))),
% 0.81/0.87 inference(scs_inference,[],[14,18,174,42,180,184,159,141,151,166,124,38,98,30,29,23,5,11,3,2,12,34,10])).
% 0.81/0.87 cnf(200,plain,
% 0.81/0.87 (E(f3(f4(x2001),x2001),x2001)),
% 0.81/0.87 inference(rename_variables,[],[15])).
% 0.81/0.87 cnf(201,plain,
% 0.81/0.87 (E(x2011,f3(f4(x2011),x2011))),
% 0.81/0.87 inference(scs_inference,[],[15,200,38,126,115,23,3,2])).
% 0.81/0.87 cnf(202,plain,
% 0.81/0.87 (~P2(f3(f4(a1),a1),f3(f4(a7),a7))),
% 0.81/0.87 inference(scs_inference,[],[15,200,38,126,115,80,23,3,2,11])).
% 0.81/0.87 cnf(207,plain,
% 0.81/0.87 (~E(f3(f4(a1),a1),a7)),
% 0.81/0.87 inference(scs_inference,[],[15,200,38,126,115,80,23,3,2,11,12,62,59,57])).
% 0.81/0.87 cnf(213,plain,
% 0.81/0.87 (E(x2131,f3(f4(x2131),x2131))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(216,plain,
% 0.81/0.87 (E(x2161,f3(f4(x2161),x2161))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(217,plain,
% 0.81/0.87 (E(f3(f4(f3(x2171,a5)),x2171),x2171)),
% 0.81/0.87 inference(scs_inference,[],[16,18,201,213,216,84,10,29])).
% 0.81/0.87 cnf(218,plain,
% 0.81/0.87 (E(x2181,f3(f4(x2181),x2181))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(219,plain,
% 0.81/0.87 (E(f3(f3(x2191,x2192),x2193),f3(x2191,f3(x2192,x2193)))),
% 0.81/0.87 inference(rename_variables,[],[18])).
% 0.81/0.87 cnf(221,plain,
% 0.81/0.87 (E(f3(f4(f3(x2211,a6)),x2211),x2211)),
% 0.81/0.87 inference(scs_inference,[],[16,18,219,201,213,216,218,84,10,29,30])).
% 0.81/0.87 cnf(222,plain,
% 0.81/0.87 (E(x2221,f3(f4(x2221),x2221))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(231,plain,
% 0.81/0.87 (E(x2311,f3(f4(x2311),x2311))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(232,plain,
% 0.81/0.87 (~E(f3(f3(a7,a6),f2(f3(a7,a6))),f3(a1,a6))),
% 0.81/0.87 inference(scs_inference,[],[15,16,38,18,219,201,213,216,218,222,119,84,10,29,30,22,23,3,2])).
% 0.81/0.87 cnf(234,plain,
% 0.81/0.87 (E(x2341,f3(f4(x2341),x2341))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(235,plain,
% 0.81/0.87 (P1(f3(f4(f8(a7,a1)),f8(a7,a1)))),
% 0.81/0.87 inference(scs_inference,[],[15,16,38,18,219,201,213,216,218,222,231,119,183,84,10,29,30,22,23,3,2,11,25])).
% 0.81/0.87 cnf(240,plain,
% 0.81/0.87 (E(x2401,f3(f4(x2401),x2401))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(242,plain,
% 0.81/0.87 (P1(f3(f4(a1),a1))),
% 0.81/0.87 inference(scs_inference,[],[15,16,38,18,219,201,213,216,218,222,231,234,240,119,183,188,84,10,29,30,22,23,3,2,11,25,24,103,56])).
% 0.81/0.87 cnf(243,plain,
% 0.81/0.87 (E(x2431,f3(f4(x2431),x2431))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(244,plain,
% 0.81/0.87 (~E(f3(a7,a6),f3(f3(f4(a1),a1),a6))),
% 0.81/0.87 inference(scs_inference,[],[15,16,38,18,219,201,213,216,218,222,231,234,240,243,119,183,188,84,10,29,30,22,23,3,2,11,25,24,103,56,86])).
% 0.81/0.87 cnf(252,plain,
% 0.81/0.87 (~E(f3(a7,a6),f3(f4(f3(a1,a6)),f3(a1,a6)))),
% 0.81/0.87 inference(scs_inference,[],[201,84])).
% 0.81/0.87 cnf(253,plain,
% 0.81/0.87 (E(x2531,f3(f4(x2531),x2531))),
% 0.81/0.87 inference(rename_variables,[],[201])).
% 0.81/0.87 cnf(258,plain,
% 0.81/0.87 (~E(f3(f3(a7,f2(a7)),a6),f3(a1,a6))),
% 0.81/0.87 inference(scs_inference,[],[100,185,207,201,46,84,29,30])).
% 0.81/0.87 cnf(261,plain,
% 0.81/0.87 (~E(f3(f4(a1),a1),f3(f4(a7),a7))),
% 0.81/0.87 inference(scs_inference,[],[100,242,185,202,207,201,46,84,29,30,23])).
% 0.81/0.87 cnf(263,plain,
% 0.81/0.87 (E(f3(x2631,x2632),f3(f3(f4(x2631),x2631),x2632))),
% 0.81/0.87 inference(scs_inference,[],[100,242,185,202,207,201,253,46,84,29,30,23,5])).
% 0.81/0.87 cnf(264,plain,
% 0.81/0.87 (~E(f3(a1,a6),f3(f3(a7,f2(a7)),a6))),
% 0.81/0.87 inference(scs_inference,[],[18,100,242,185,202,71,207,201,253,46,84,29,30,23,5,3])).
% 0.81/0.87 cnf(266,plain,
% 0.81/0.87 (E(f2(a5),f4(a6))),
% 0.81/0.87 inference(scs_inference,[],[38,18,100,242,185,202,71,207,201,253,46,84,29,30,23,5,3,2])).
% 0.81/0.87 cnf(275,plain,
% 0.81/0.87 (P1(f8(a1,f3(a7,f2(a7))))),
% 0.81/0.87 inference(scs_inference,[],[40,36,38,18,100,242,185,202,217,71,207,201,253,46,84,29,30,23,5,3,2,12,170,32,31,27])).
% 0.81/0.87 cnf(281,plain,
% 0.81/0.87 (~E(a1,f3(f4(a7),a7))),
% 0.81/0.87 inference(scs_inference,[],[40,36,38,18,100,242,185,202,217,71,207,201,253,46,84,29,30,23,5,3,2,12,170,32,31,27,8,4,33,86])).
% 0.81/0.87 cnf(286,plain,
% 0.81/0.87 (E(x2861,f3(x2861,f2(x2861)))),
% 0.81/0.87 inference(rename_variables,[],[98])).
% 0.81/0.87 cnf(287,plain,
% 0.81/0.87 (~E(f3(a7,a5),f3(a1,f3(a5,f2(a5))))),
% 0.81/0.87 inference(scs_inference,[],[40,36,38,18,100,242,185,202,217,71,207,201,253,46,183,98,286,84,29,30,23,5,3,2,12,170,32,31,27,8,4,33,86,7,9,11,93])).
% 0.81/0.87 cnf(292,plain,
% 0.81/0.87 (~E(f3(a1,a5),x2921)+~E(f3(a7,a5),x2921)),
% 0.81/0.87 inference(scs_inference,[],[263,91])).
% 0.81/0.87 cnf(293,plain,
% 0.81/0.87 (~E(f3(a7,a5),f3(a1,x2931))+~E(a5,x2931)),
% 0.81/0.87 inference(scs_inference,[],[263,93])).
% 0.81/0.87 cnf(298,plain,
% 0.81/0.87 (E(f3(x2981,x2982),f3(f3(f4(x2981),x2981),x2982))),
% 0.81/0.87 inference(rename_variables,[],[263])).
% 0.81/0.87 cnf(304,plain,
% 0.81/0.87 (E(f3(f3(x3041,x3042),x3043),f3(x3041,f3(x3042,x3043)))),
% 0.81/0.87 inference(rename_variables,[],[18])).
% 0.81/0.87 cnf(311,plain,
% 0.81/0.87 (~E(f3(a7,f2(a7)),a1)),
% 0.81/0.87 inference(scs_inference,[],[18,304,263,298,264,258,155,201,242,293,292,84,29,30,23,5])).
% 0.81/0.87 cnf(316,plain,
% 0.81/0.87 (E(f3(f4(f3(x3161,a6)),x3161),x3161)),
% 0.81/0.87 inference(rename_variables,[],[221])).
% 0.81/0.87 cnf(317,plain,
% 0.81/0.87 (~P2(a1,f3(f4(f3(a7,a6)),a7))),
% 0.81/0.87 inference(scs_inference,[],[36,18,304,38,44,263,298,261,221,316,264,258,155,201,242,293,292,84,29,30,23,5,3,2,11,12])).
% 0.81/0.87 cnf(323,plain,
% 0.81/0.87 (E(f3(x3231,x3232),f3(f3(f4(x3231),x3231),x3232))),
% 0.81/0.87 inference(rename_variables,[],[263])).
% 0.81/0.87 cnf(325,plain,
% 0.81/0.87 (P2(f8(a1,f3(a7,f2(a7))),f8(a1,a7))),
% 0.81/0.87 inference(scs_inference,[],[42,275,263,292,23])).
% 0.81/0.87 cnf(326,plain,
% 0.81/0.87 (E(f8(x3261,f3(x3262,f2(x3262))),f8(x3261,x3262))),
% 0.81/0.87 inference(rename_variables,[],[42])).
% 0.81/0.87 cnf(331,plain,
% 0.81/0.87 (E(f8(x3311,x3312),f8(x3311,f3(x3312,f2(x3312))))),
% 0.81/0.87 inference(scs_inference,[],[42,326,38,162,275,263,266,292,23,5,3,2])).
% 0.81/0.87 cnf(334,plain,
% 0.81/0.87 (P2(f3(a5,a6),f3(f3(f4(a5),a5),a6))),
% 0.81/0.87 inference(scs_inference,[],[42,326,36,38,162,275,111,263,323,217,266,292,23,5,3,2,11,12])).
% 0.81/0.87 cnf(340,plain,
% 0.81/0.87 (~E(f3(a7,a5),f3(f4(f3(a1,a5)),f3(a1,a5)))),
% 0.81/0.87 inference(scs_inference,[],[201,292])).
% 0.81/0.87 cnf(344,plain,
% 0.81/0.87 (E(f3(f3(x3441,f2(x3441)),x3442),f3(x3441,x3442))),
% 0.81/0.87 inference(rename_variables,[],[46])).
% 0.81/0.87 cnf(354,plain,
% 0.81/0.87 (P2(f8(a1,a7),f8(a1,a7))),
% 0.81/0.87 inference(scs_inference,[],[42,18,331,192,232,325,287,46,344,201,292,29,30,23,3,11])).
% 0.81/0.87 cnf(359,plain,
% 0.81/0.87 (P1(f3(f3(f4(a5),a5),a6))),
% 0.81/0.87 inference(scs_inference,[],[42,18,45,331,244,192,232,334,325,287,46,344,80,201,292,29,30,23,3,11,2,12,24])).
% 0.81/0.87 cnf(361,plain,
% 0.81/0.87 (E(f3(x3611,x3612),f3(f3(x3611,f2(x3611)),x3612))),
% 0.81/0.87 inference(scs_inference,[],[42,18,45,331,244,192,232,334,325,287,46,344,80,201,98,292,29,30,23,3,11,2,12,24,5])).
% 0.81/0.87 cnf(363,plain,
% 0.81/0.87 (E(f3(x3631,x3632),f3(f3(x3631,f2(x3631)),x3632))),
% 0.81/0.87 inference(rename_variables,[],[361])).
% 0.81/0.87 cnf(369,plain,
% 0.81/0.87 (E(f3(f3(x3691,x3692),x3693),f3(x3691,f3(x3692,x3693)))),
% 0.81/0.87 inference(rename_variables,[],[18])).
% 0.81/0.87 cnf(371,plain,
% 0.81/0.87 (E(f3(f3(x3711,x3712),x3713),f3(x3711,f3(x3712,x3713)))),
% 0.81/0.87 inference(rename_variables,[],[18])).
% 0.81/0.87 cnf(374,plain,
% 0.81/0.87 (E(f3(f3(x3741,x3742),x3743),f3(x3741,f3(x3742,x3743)))),
% 0.81/0.87 inference(rename_variables,[],[18])).
% 0.81/0.87 cnf(379,plain,
% 0.81/0.87 (E(f3(x3791,f3(f4(x3792),x3792)),f3(x3791,x3792))),
% 0.81/0.87 inference(rename_variables,[],[99])).
% 0.81/0.87 cnf(380,plain,
% 0.81/0.87 (E(f3(f3(x3801,f4(x3802)),x3802),f3(x3801,x3802))),
% 0.81/0.87 inference(scs_inference,[],[18,369,371,374,99,379,361,363,281,359,317,55,13,103,292,10,29,30,23,11,3])).
% 0.81/0.87 cnf(383,plain,
% 0.81/0.87 (E(f8(x3831,x3832),f8(f3(x3831,f2(x3831)),x3832))),
% 0.81/0.87 inference(scs_inference,[],[18,369,371,374,43,99,379,361,363,281,359,317,55,13,103,292,10,29,30,23,11,3,2])).
% 0.81/0.87 cnf(388,plain,
% 0.81/0.87 (P1(f8(a1,f3(f4(a7),a7)))),
% 0.81/0.87 inference(scs_inference,[],[18,369,371,374,43,99,379,361,363,235,281,359,317,55,13,103,292,10,29,30,23,11,3,2,32,20,27])).
% 0.81/0.87 cnf(403,plain,
% 0.81/0.87 (E(f3(x4031,x4032),f3(f3(x4031,f2(x4031)),x4032))),
% 0.81/0.87 inference(rename_variables,[],[361])).
% 0.81/0.87 cnf(406,plain,
% 0.81/0.87 (E(f3(x4061,x4062),f3(f3(x4061,f2(x4061)),x4062))),
% 0.81/0.87 inference(rename_variables,[],[361])).
% 0.81/0.87 cnf(407,plain,
% 0.81/0.87 (E(f3(f3(x4071,f4(x4072)),x4072),f3(x4071,x4072))),
% 0.81/0.87 inference(rename_variables,[],[380])).
% 0.81/0.87 cnf(419,plain,
% 0.81/0.87 (E(f8(x4191,x4192),f8(f3(x4191,f2(x4191)),x4192))),
% 0.81/0.87 inference(rename_variables,[],[383])).
% 0.81/0.87 cnf(427,plain,
% 0.81/0.87 (E(f3(x4271,x4272),f3(x4271,f3(f4(x4272),x4272)))),
% 0.81/0.87 inference(scs_inference,[],[35,168,380,407,383,419,154,252,354,388,361,403,406,201,292,29,22,30,23,11,2,3,12,25,6])).
% 0.81/0.87 cnf(434,plain,
% 0.81/0.87 (E(f3(x4341,x4342),f3(x4341,f3(f4(x4342),x4342)))),
% 0.81/0.87 inference(rename_variables,[],[427])).
% 0.81/0.87 cnf(439,plain,
% 0.81/0.87 (~E(f3(a1,a5),f3(a7,a5))),
% 0.81/0.87 inference(scs_inference,[],[427,434,311,46,292,84,29])).
% 0.81/0.87 cnf(458,plain,
% 0.81/0.87 ($false),
% 0.81/0.87 inference(scs_inference,[],[439,340,94,100,18,29,30]),
% 0.81/0.87 ['proof']).
% 0.81/0.87 % SZS output end Proof
% 0.81/0.87 % Total time :0.260000s
%------------------------------------------------------------------------------