TSTP Solution File: CAT014-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT014-4 : 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 : n005.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 18:13:47 EDT 2023
% Result : Unsatisfiable 0.85s 0.91s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT014-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 00:15:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.77/0.90 %-------------------------------------------
% 0.77/0.90 % File :CSE---1.6
% 0.77/0.90 % Problem :theBenchmark
% 0.77/0.90 % Transform :cnf
% 0.77/0.90 % Format :tptp:raw
% 0.77/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.77/0.90
% 0.77/0.91 % Result :Theorem 0.280000s
% 0.77/0.91 % Output :CNFRefutation 0.280000s
% 0.77/0.91 %-------------------------------------------
% 0.77/0.91 %--------------------------------------------------------------------------
% 0.77/0.91 % File : CAT014-4 : TPTP v8.1.2. Released v1.0.0.
% 0.77/0.91 % Domain : Category Theory
% 0.77/0.91 % Problem : codomain(codomain(x)) = codomain(x)
% 0.77/0.91 % Version : [Sco79] axioms : Reduced > Complete.
% 0.77/0.91 % English :
% 0.77/0.91
% 0.77/0.91 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.77/0.91 % Source : [TPTP]
% 0.77/0.91 % Names :
% 0.77/0.91
% 0.77/0.91 % Status : Unsatisfiable
% 0.77/0.91 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.77/0.91 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.85/0.91 % Number of literals : 23 ( 8 equ; 11 neg)
% 0.85/0.91 % Maximal clause size : 3 ( 1 avg)
% 0.85/0.91 % Maximal term depth : 3 ( 1 avg)
% 0.85/0.91 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.85/0.91 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.85/0.91 % Number of variables : 19 ( 2 sgn)
% 0.85/0.91 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.85/0.91
% 0.85/0.91 % Comments : The dependent axioms have been removed.
% 0.85/0.91 %--------------------------------------------------------------------------
% 0.85/0.91 %----Include Scott's axioms for category theory
% 0.85/0.91 include('Axioms/CAT004-0.ax').
% 0.85/0.91 %--------------------------------------------------------------------------
% 0.85/0.91 cnf(assume_codomain_exists,hypothesis,
% 0.85/0.91 there_exists(codomain(a)) ).
% 0.85/0.91
% 0.85/0.91 cnf(prove_codomain_is_idempotent,negated_conjecture,
% 0.85/0.91 codomain(codomain(a)) != codomain(a) ).
% 0.85/0.91
% 0.85/0.91 %--------------------------------------------------------------------------
% 0.85/0.91 %-------------------------------------------
% 0.85/0.91 % Proof found
% 0.85/0.91 % SZS status Theorem for theBenchmark
% 0.85/0.91 % SZS output start Proof
% 0.85/0.91 %ClaNum:23(EqnAxiom:10)
% 0.85/0.91 %VarNum:40(SingletonVarNum:19)
% 0.85/0.91 %MaxLitNum:3
% 0.85/0.91 %MaxfuncDepth:2
% 0.85/0.91 %SharedTerms:5
% 0.85/0.91 %goalClause: 15
% 0.85/0.91 %singleGoalClaCount:1
% 0.85/0.91 [11]P1(f2(a1))
% 0.85/0.91 [15]~E(f2(f2(a1)),f2(a1))
% 0.85/0.91 [12]E(f4(x121,f3(x121)),x121)
% 0.85/0.91 [13]E(f4(f2(x131),x131),x131)
% 0.85/0.91 [14]E(f4(f4(x141,x142),x143),f4(x141,f4(x142,x143)))
% 0.85/0.91 [16]P1(x161)+~P1(f3(x161))
% 0.85/0.91 [17]P1(x171)+~P1(f2(x171))
% 0.85/0.91 [18]~P2(x181,x182)+E(x181,x182)
% 0.85/0.91 [20]P1(x201)+~P2(x201,x202)
% 0.85/0.91 [21]E(f2(x211),f3(x212))+~P1(f4(x212,x211))
% 0.85/0.91 [22]P1(f3(x221))+~P1(f4(x221,x222))
% 0.85/0.91 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.85/0.91 [23]~E(f2(x232),f3(x231))+~P1(f3(x231))+P1(f4(x231,x232))
% 0.85/0.91 %EqnAxiom
% 0.85/0.91 [1]E(x11,x11)
% 0.85/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.91 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.85/0.91 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.85/0.91 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.85/0.91 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.85/0.91 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.85/0.91 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.85/0.91 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.85/0.91
% 0.85/0.91 %-------------------------------------------
% 0.85/0.92 cnf(24,plain,
% 0.85/0.92 (E(x241,f4(x241,f3(x241)))),
% 0.85/0.92 inference(scs_inference,[],[12,2])).
% 0.85/0.92 cnf(25,plain,
% 0.85/0.92 (~P2(f2(f2(a1)),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[15,12,2,18])).
% 0.85/0.92 cnf(27,plain,
% 0.85/0.92 (P1(a1)),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,2,18,17])).
% 0.85/0.92 cnf(29,plain,
% 0.85/0.92 (~E(f2(a1),a1)),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,2,18,17,4])).
% 0.85/0.92 cnf(30,plain,
% 0.85/0.92 (P1(f4(f2(a1),f3(f2(a1))))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,2,18,17,4,8])).
% 0.85/0.92 cnf(31,plain,
% 0.85/0.92 (~E(f2(f2(a1)),f4(f2(f2(a1)),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,13,2,18,17,4,8,3])).
% 0.85/0.92 cnf(32,plain,
% 0.85/0.92 (E(f4(f2(x321),x321),x321)),
% 0.85/0.92 inference(rename_variables,[],[13])).
% 0.85/0.92 cnf(33,plain,
% 0.85/0.92 (P2(f2(a1),f4(f2(a1),f3(f2(a1))))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,13,2,18,17,4,8,3,19])).
% 0.85/0.92 cnf(35,plain,
% 0.85/0.92 (E(f4(x351,f4(f2(x352),x352)),f4(x351,x352))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,13,32,2,18,17,4,8,3,19,7])).
% 0.85/0.92 cnf(36,plain,
% 0.85/0.92 (E(f4(f4(f2(x361),x361),x362),f4(x361,x362))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,13,32,2,18,17,4,8,3,19,7,6])).
% 0.85/0.92 cnf(37,plain,
% 0.85/0.92 (E(f3(f4(f2(x371),x371)),f3(x371))),
% 0.85/0.92 inference(scs_inference,[],[15,11,12,13,32,2,18,17,4,8,3,19,7,6,5])).
% 0.85/0.92 cnf(47,plain,
% 0.85/0.92 (~E(f2(a1),f2(f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[15,2])).
% 0.85/0.92 cnf(48,plain,
% 0.85/0.92 (E(f2(f4(f2(x481),x481)),f2(x481))),
% 0.85/0.92 inference(scs_inference,[],[15,13,2,4])).
% 0.85/0.92 cnf(49,plain,
% 0.85/0.92 (~E(f4(f2(a1),f3(f2(a1))),a1)),
% 0.85/0.92 inference(scs_inference,[],[15,13,24,29,2,4,3])).
% 0.85/0.92 cnf(50,plain,
% 0.85/0.92 (E(x501,f4(x501,f3(x501)))),
% 0.85/0.92 inference(rename_variables,[],[24])).
% 0.85/0.92 cnf(51,plain,
% 0.85/0.92 (P2(f2(a1),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[15,13,12,24,33,29,2,4,3,10])).
% 0.85/0.92 cnf(53,plain,
% 0.85/0.92 (P1(f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[15,13,12,24,50,33,29,27,2,4,3,10,8])).
% 0.85/0.92 cnf(55,plain,
% 0.85/0.92 (P2(f4(f2(x551),x551),x551)+~P1(f4(f2(x551),x551))),
% 0.85/0.92 inference(scs_inference,[],[15,13,12,24,50,33,29,27,2,4,3,10,8,19])).
% 0.85/0.92 cnf(60,plain,
% 0.85/0.92 (E(f4(x601,f4(x602,x603)),f4(f4(x601,x602),x603))),
% 0.85/0.92 inference(scs_inference,[],[14,2])).
% 0.85/0.92 cnf(61,plain,
% 0.85/0.92 (~E(a1,f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[14,47,2,4])).
% 0.85/0.92 cnf(62,plain,
% 0.85/0.92 (E(f4(f2(x621),x621),f4(x621,f3(x621)))),
% 0.85/0.92 inference(scs_inference,[],[24,14,13,47,2,4,3])).
% 0.85/0.92 cnf(64,plain,
% 0.85/0.92 (~E(f4(f2(f2(a1)),f2(a1)),f2(f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[31,2])).
% 0.85/0.92 cnf(65,plain,
% 0.85/0.92 (E(f2(x651),f2(f4(x651,f3(x651))))),
% 0.85/0.92 inference(scs_inference,[],[24,31,2,4])).
% 0.85/0.92 cnf(66,plain,
% 0.85/0.92 (~E(a1,f2(f4(f2(a1),a1)))),
% 0.85/0.92 inference(scs_inference,[],[24,48,31,61,2,4,3])).
% 0.85/0.92 cnf(68,plain,
% 0.85/0.92 (E(x681,f4(f2(x681),x681))),
% 0.85/0.92 inference(scs_inference,[],[13,2])).
% 0.85/0.92 cnf(69,plain,
% 0.85/0.92 (~E(f4(a1,f3(a1)),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[24,13,61,2,3])).
% 0.85/0.92 cnf(73,plain,
% 0.85/0.92 (P1(f3(a1))),
% 0.85/0.92 inference(scs_inference,[],[24,13,53,61,2,3,21,22])).
% 0.85/0.92 cnf(80,plain,
% 0.85/0.92 (E(f2(f4(x801,f3(x801))),f2(x801))),
% 0.85/0.92 inference(scs_inference,[],[12,24,13,64,53,61,2,3,21,22,18,7,6,5,4])).
% 0.85/0.92 cnf(82,plain,
% 0.85/0.92 (E(x821,f4(x821,f3(x821)))),
% 0.85/0.92 inference(rename_variables,[],[24])).
% 0.85/0.92 cnf(83,plain,
% 0.85/0.92 (~E(a1,f4(f2(a1),f3(f2(a1))))),
% 0.85/0.92 inference(scs_inference,[],[24,51,49,9,2])).
% 0.85/0.92 cnf(84,plain,
% 0.85/0.92 (E(f4(f4(f2(x841),x841),f3(x841)),x841)),
% 0.85/0.92 inference(scs_inference,[],[12,24,36,51,49,9,2,3])).
% 0.85/0.92 cnf(89,plain,
% 0.85/0.92 (~P2(x891,f4(f4(x892,x893),x894))+P2(x891,f4(x892,f4(x893,x894)))),
% 0.85/0.92 inference(scs_inference,[],[12,14,24,82,36,51,49,73,9,2,3,19,10])).
% 0.85/0.92 cnf(90,plain,
% 0.85/0.92 (P1(f2(f4(a1,f3(a1))))),
% 0.85/0.92 inference(scs_inference,[],[12,14,24,82,65,36,51,49,73,11,9,2,3,19,10,8])).
% 0.85/0.92 cnf(92,plain,
% 0.85/0.92 (P2(a1,f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,24,19])).
% 0.85/0.92 cnf(93,plain,
% 0.85/0.92 (E(x931,f4(x931,f3(x931)))),
% 0.85/0.92 inference(rename_variables,[],[24])).
% 0.85/0.92 cnf(95,plain,
% 0.85/0.92 (P1(f4(f3(a1),f3(f3(a1))))),
% 0.85/0.92 inference(scs_inference,[],[27,24,93,73,19,8])).
% 0.85/0.92 cnf(96,plain,
% 0.85/0.92 (E(x961,f4(x961,f3(x961)))),
% 0.85/0.92 inference(rename_variables,[],[24])).
% 0.85/0.92 cnf(97,plain,
% 0.85/0.92 (E(f4(x971,f3(x971)),f4(f2(x971),x971))),
% 0.85/0.92 inference(scs_inference,[],[27,24,93,62,73,19,8,2])).
% 0.85/0.92 cnf(98,plain,
% 0.85/0.92 (~E(a1,f4(f2(f2(a1)),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,24,93,62,83,73,19,8,2,3])).
% 0.85/0.92 cnf(100,plain,
% 0.85/0.92 (P2(f4(a1,f3(a1)),f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,24,93,96,62,83,73,19,8,2,3,9])).
% 0.85/0.92 cnf(102,plain,
% 0.85/0.92 (~P2(f2(f2(a1)),f4(f2(f2(a1)),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[13,27,25,24,93,96,62,83,73,19,8,2,3,9,10])).
% 0.85/0.92 cnf(105,plain,
% 0.85/0.92 (~E(f4(a1,f3(a1)),f4(f2(f2(a1)),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[24,66,98,2,3])).
% 0.85/0.92 cnf(107,plain,
% 0.85/0.92 (E(x1071,f4(f4(f2(x1071),x1071),f3(x1071)))),
% 0.85/0.92 inference(scs_inference,[],[84,2])).
% 0.85/0.92 cnf(108,plain,
% 0.85/0.92 (E(x1081,f4(f2(x1081),f4(x1081,f3(x1081))))),
% 0.85/0.92 inference(scs_inference,[],[14,84,2,3])).
% 0.85/0.92 cnf(112,plain,
% 0.85/0.92 (~P2(f2(a1),a1)),
% 0.85/0.92 inference(scs_inference,[],[14,29,84,95,2,3,22,18])).
% 0.85/0.92 cnf(115,plain,
% 0.85/0.92 (E(f4(x1151,x1152),f4(f4(x1151,f3(x1151)),x1152))),
% 0.85/0.92 inference(scs_inference,[],[14,29,24,84,95,2,3,22,18,7,6])).
% 0.85/0.92 cnf(122,plain,
% 0.85/0.92 (~E(f4(f2(f2(a1)),f2(a1)),f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[80,105,112,9,2])).
% 0.85/0.92 cnf(125,plain,
% 0.85/0.92 (~E(f2(f4(a1,f3(a1))),a1)),
% 0.85/0.92 inference(scs_inference,[],[14,80,115,105,90,112,9,2,3,19])).
% 0.85/0.92 cnf(128,plain,
% 0.85/0.92 (E(f4(x1281,f3(x1281)),f4(f2(x1281),x1281))),
% 0.85/0.92 inference(rename_variables,[],[97])).
% 0.85/0.92 cnf(130,plain,
% 0.85/0.92 (E(f4(x1301,f3(x1301)),f4(f2(x1301),x1301))),
% 0.85/0.92 inference(rename_variables,[],[97])).
% 0.85/0.92 cnf(131,plain,
% 0.85/0.92 (E(f4(f2(x1311),f4(x1311,f3(x1311))),x1311)),
% 0.85/0.92 inference(scs_inference,[],[97,128,108,100,10,9,2])).
% 0.85/0.92 cnf(134,plain,
% 0.85/0.92 (P1(f4(f2(f2(a1)),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[30,97,128,130,108,37,100,10,9,2,19,8])).
% 0.85/0.92 cnf(135,plain,
% 0.85/0.92 (E(f4(x1351,f3(x1351)),f4(f2(x1351),x1351))),
% 0.85/0.92 inference(rename_variables,[],[97])).
% 0.85/0.92 cnf(138,plain,
% 0.85/0.92 (P1(f4(f2(a1),a1))),
% 0.85/0.92 inference(scs_inference,[],[30,97,128,130,135,108,37,100,69,10,9,2,19,8,3,20])).
% 0.85/0.92 cnf(140,plain,
% 0.85/0.92 (P2(f3(f4(f2(x1401),x1401)),f3(x1401))+~P1(f4(f4(f2(x1401),x1401),x1402))),
% 0.85/0.92 inference(scs_inference,[],[30,97,128,130,135,108,37,100,69,10,9,2,19,8,3,20,22])).
% 0.85/0.92 cnf(142,plain,
% 0.85/0.92 (P2(f4(f2(f2(a1)),f2(a1)),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[134,55])).
% 0.85/0.92 cnf(144,plain,
% 0.85/0.92 (E(f2(a1),f3(f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[134,138,55,21])).
% 0.85/0.92 cnf(151,plain,
% 0.85/0.92 (P1(f2(f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[29,131,134,138,125,55,21,22,2,3,16])).
% 0.85/0.92 cnf(155,plain,
% 0.85/0.92 (E(x1551,f4(f4(f2(x1551),x1551),f3(x1551)))),
% 0.85/0.92 inference(rename_variables,[],[107])).
% 0.85/0.92 cnf(157,plain,
% 0.85/0.92 (P2(f4(f4(f2(a1),a1),f3(a1)),f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,92,19,9])).
% 0.85/0.92 cnf(158,plain,
% 0.85/0.92 (E(x1581,f4(f4(f2(x1581),x1581),f3(x1581)))),
% 0.85/0.92 inference(rename_variables,[],[107])).
% 0.85/0.92 cnf(159,plain,
% 0.85/0.92 (E(f4(x1591,x1592),f4(x1591,f4(f2(x1592),x1592)))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,35,92,19,9,2])).
% 0.85/0.92 cnf(160,plain,
% 0.85/0.92 (E(f4(f2(x1601),f4(f2(x1601),x1601)),x1601)),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,35,92,13,19,9,2,3])).
% 0.85/0.92 cnf(164,plain,
% 0.85/0.92 (~P2(f4(f2(f2(a1)),f2(a1)),f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,35,122,92,13,19,9,2,3,89,18])).
% 0.85/0.92 cnf(167,plain,
% 0.85/0.92 (E(f3(x1671),f3(f4(f2(x1671),x1671)))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,35,122,92,68,13,19,9,2,3,89,18,6,5])).
% 0.85/0.92 cnf(170,plain,
% 0.85/0.92 (P2(f3(f4(f2(a1),a1)),f3(a1))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,158,35,122,92,68,13,19,9,2,3,89,18,6,5,8,140])).
% 0.85/0.92 cnf(172,plain,
% 0.85/0.92 (~E(f2(a1),f4(a1,f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[27,107,155,158,35,122,142,92,68,13,19,9,2,3,89,18,6,5,8,140,10])).
% 0.85/0.92 cnf(182,plain,
% 0.85/0.92 (~P2(f4(f2(f2(a1)),f2(a1)),f4(f2(a1),a1))),
% 0.85/0.92 inference(scs_inference,[],[164,144,62,11,19,10])).
% 0.85/0.92 cnf(184,plain,
% 0.85/0.92 (P2(f3(a1),f3(a1))),
% 0.85/0.92 inference(scs_inference,[],[164,170,144,37,62,11,19,10,9])).
% 0.85/0.92 cnf(186,plain,
% 0.85/0.92 (E(x1861,f4(f2(x1861),f4(f2(x1861),x1861)))),
% 0.85/0.92 inference(scs_inference,[],[160,164,170,144,37,62,11,19,10,9,2])).
% 0.85/0.92 cnf(187,plain,
% 0.85/0.92 (~E(f2(a1),f4(f2(a1),f4(f2(a1),a1)))),
% 0.85/0.92 inference(scs_inference,[],[29,160,164,170,144,37,62,11,19,10,9,2,3])).
% 0.85/0.92 cnf(191,plain,
% 0.85/0.92 (~E(f4(f2(a1),f4(f2(a1),a1)),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[182,187,134,19,2])).
% 0.85/0.92 cnf(192,plain,
% 0.85/0.92 (E(x1921,f4(f4(f2(x1921),f2(x1921)),x1921))),
% 0.85/0.92 inference(scs_inference,[],[186,60,182,187,134,19,2,3])).
% 0.85/0.92 cnf(194,plain,
% 0.85/0.92 (P2(f4(f2(a1),a1),a1)),
% 0.85/0.92 inference(scs_inference,[],[186,60,182,187,138,134,19,2,3,55])).
% 0.85/0.92 cnf(201,plain,
% 0.85/0.92 (P2(a1,f4(f4(f2(a1),f2(a1)),a1))),
% 0.85/0.92 inference(scs_inference,[],[192,27,19])).
% 0.85/0.92 cnf(202,plain,
% 0.85/0.92 (E(x2021,f4(f4(f2(x2021),f2(x2021)),x2021))),
% 0.85/0.92 inference(rename_variables,[],[192])).
% 0.85/0.92 cnf(204,plain,
% 0.85/0.92 (~P2(f2(a1),f4(f4(f2(a1),a1),f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[192,84,112,27,19,10])).
% 0.85/0.92 cnf(206,plain,
% 0.85/0.92 (E(f4(f4(f2(x2061),f2(x2061)),x2061),x2061)),
% 0.85/0.92 inference(scs_inference,[],[192,202,84,112,27,19,10,2])).
% 0.85/0.92 cnf(212,plain,
% 0.85/0.92 (P1(f4(f4(f2(a1),f2(a1)),a1))),
% 0.85/0.92 inference(scs_inference,[],[192,202,172,84,97,105,112,27,19,10,2,3,89,18,8])).
% 0.85/0.92 cnf(214,plain,
% 0.85/0.92 (~E(f4(f4(f2(a1),a1),f3(a1)),f2(a1))),
% 0.85/0.92 inference(scs_inference,[],[192,202,172,157,84,97,105,112,27,19,10,2,3,89,18,8,9])).
% 0.85/0.92 cnf(216,plain,
% 0.85/0.92 (E(f4(f4(f2(x2161),f2(x2161)),x2161),x2161)),
% 0.85/0.92 inference(rename_variables,[],[206])).
% 0.85/0.92 cnf(221,plain,
% 0.85/0.92 (E(f4(f4(f2(x2211),f2(x2211)),x2211),x2211)),
% 0.85/0.92 inference(rename_variables,[],[206])).
% 0.85/0.92 cnf(222,plain,
% 0.85/0.92 (~E(f2(a1),f4(f4(f2(a1),a1),f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[206,216,159,212,214,194,201,19,9,10,2])).
% 0.85/0.92 cnf(223,plain,
% 0.85/0.92 (~E(f2(a1),f4(f4(f2(a1),f2(a1)),a1))),
% 0.85/0.92 inference(scs_inference,[],[29,206,216,221,159,212,214,194,201,19,9,10,2,3])).
% 0.85/0.92 cnf(225,plain,
% 0.85/0.92 (E(f2(a1),f3(f4(f2(a1),f2(a1))))),
% 0.85/0.92 inference(scs_inference,[],[29,206,216,221,159,212,214,194,201,19,9,10,2,3,21])).
% 0.85/0.92 cnf(227,plain,
% 0.85/0.92 (P1(f3(f4(f2(a1),f2(a1))))),
% 0.85/0.92 inference(scs_inference,[],[29,206,216,221,159,212,214,194,201,19,9,10,2,3,21,22])).
% 0.85/0.92 cnf(229,plain,
% 0.85/0.92 (P1(f4(f2(a1),f2(a1)))),
% 0.85/0.92 inference(scs_inference,[],[227,16])).
% 0.85/0.92 cnf(244,plain,
% 0.85/0.92 (~E(f3(f2(a1)),f4(f4(f2(a1),a1),f3(a1)))),
% 0.85/0.92 inference(scs_inference,[],[222,223,131,144,112,10,2,3])).
% 0.85/0.92 cnf(258,plain,
% 0.85/0.92 (~E(f4(f4(f2(a1),a1),f3(a1)),f3(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[167,244,184,10,2])).
% 0.85/0.93 cnf(259,plain,
% 0.85/0.93 (E(f2(f2(a1)),f3(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[167,229,244,184,10,2,21])).
% 0.85/0.93 cnf(261,plain,
% 0.85/0.93 (P2(f2(f2(a1)),f3(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[259,151,19])).
% 0.85/0.93 cnf(266,plain,
% 0.85/0.93 (E(f3(f2(a1)),f2(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[259,151,206,112,19,9,10,2])).
% 0.85/0.93 cnf(273,plain,
% 0.85/0.93 (P2(f2(f2(a1)),f2(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[261,266,102,9,10])).
% 0.85/0.93 cnf(274,plain,
% 0.85/0.93 (~E(f4(f2(f2(a1)),f2(a1)),f3(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[261,266,102,64,9,10,3])).
% 0.85/0.93 cnf(281,plain,
% 0.85/0.93 (P2(f3(f2(a1)),f2(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[225,273,259,11,19,9])).
% 0.85/0.93 cnf(284,plain,
% 0.85/0.93 (E(f3(f4(f2(a1),f2(a1))),f2(a1))),
% 0.85/0.93 inference(scs_inference,[],[36,225,258,273,259,11,19,9,3,2])).
% 0.85/0.93 cnf(285,plain,
% 0.85/0.93 (~P2(f2(a1),f2(f2(a1)))),
% 0.85/0.93 inference(scs_inference,[],[47,36,225,258,273,259,11,19,9,3,2,18])).
% 0.85/0.93 cnf(296,plain,
% 0.85/0.93 (E(f4(f2(a1),a1),f4(f4(f2(a1),a1),f3(a1)))),
% 0.85/0.93 inference(scs_inference,[],[35,281,284,285,107,227,98,194,14,19,9,10,3,2,18])).
% 0.85/0.93 cnf(305,plain,
% 0.85/0.93 ($false),
% 0.85/0.93 inference(scs_inference,[],[48,296,191,274,204,108,144,112,27,13,18,8,9,10,3]),
% 0.85/0.93 ['proof']).
% 0.85/0.93 % SZS output end Proof
% 0.85/0.93 % Total time :0.280000s
%------------------------------------------------------------------------------