TSTP Solution File: CAT011-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT011-4 : 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 : n022.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 18:13:44 EDT 2023
% Result : Unsatisfiable 1.21s 1.36s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:14:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 1.21/1.35 %-------------------------------------------
% 1.21/1.35 % File :CSE---1.6
% 1.21/1.35 % Problem :theBenchmark
% 1.21/1.35 % Transform :cnf
% 1.21/1.35 % Format :tptp:raw
% 1.21/1.35 % Command :java -jar mcs_scs.jar %d %s
% 1.21/1.35
% 1.21/1.35 % Result :Theorem 0.730000s
% 1.21/1.35 % Output :CNFRefutation 0.730000s
% 1.21/1.35 %-------------------------------------------
% 1.21/1.36 %--------------------------------------------------------------------------
% 1.21/1.36 % File : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 1.21/1.36 % Domain : Category Theory
% 1.21/1.36 % Problem : domain(domain(x)) = domain(x)
% 1.21/1.36 % Version : [Sco79] axioms : Reduced > Complete.
% 1.21/1.36 % English :
% 1.21/1.36
% 1.21/1.36 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 1.21/1.36 % Source : [TPTP]
% 1.21/1.36 % Names :
% 1.21/1.36
% 1.21/1.36 % Status : Unsatisfiable
% 1.21/1.36 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 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
% 1.21/1.36 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 1.21/1.36 % Number of literals : 23 ( 8 equ; 11 neg)
% 1.21/1.36 % Maximal clause size : 3 ( 1 avg)
% 1.21/1.36 % Maximal term depth : 3 ( 1 avg)
% 1.21/1.36 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.21/1.36 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 1.21/1.36 % Number of variables : 19 ( 2 sgn)
% 1.21/1.36 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.21/1.36
% 1.21/1.36 % Comments : The dependent axioms have been removed.
% 1.21/1.36 %--------------------------------------------------------------------------
% 1.21/1.36 %----Include Scott's axioms for category theory
% 1.21/1.36 include('Axioms/CAT004-0.ax').
% 1.21/1.36 %--------------------------------------------------------------------------
% 1.21/1.36 cnf(assume_domain_exists,hypothesis,
% 1.21/1.36 there_exists(domain(a)) ).
% 1.21/1.36
% 1.21/1.36 cnf(prove_domain_is_idempotent,negated_conjecture,
% 1.21/1.36 domain(domain(a)) != domain(a) ).
% 1.21/1.36
% 1.21/1.36 %--------------------------------------------------------------------------
% 1.21/1.36 %-------------------------------------------
% 1.21/1.36 % Proof found
% 1.21/1.36 % SZS status Theorem for theBenchmark
% 1.21/1.36 % SZS output start Proof
% 1.21/1.36 %ClaNum:23(EqnAxiom:10)
% 1.21/1.36 %VarNum:40(SingletonVarNum:19)
% 1.21/1.36 %MaxLitNum:3
% 1.21/1.36 %MaxfuncDepth:2
% 1.21/1.36 %SharedTerms:5
% 1.21/1.36 %goalClause: 15
% 1.21/1.36 %singleGoalClaCount:1
% 1.21/1.36 [11]P1(f2(a1))
% 1.21/1.36 [15]~E(f2(f2(a1)),f2(a1))
% 1.21/1.36 [12]E(f3(x121,f2(x121)),x121)
% 1.21/1.36 [13]E(f3(f4(x131),x131),x131)
% 1.21/1.36 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 1.21/1.36 [16]P1(x161)+~P1(f2(x161))
% 1.21/1.36 [17]P1(x171)+~P1(f4(x171))
% 1.21/1.36 [18]~P2(x181,x182)+E(x181,x182)
% 1.21/1.36 [20]P1(x201)+~P2(x201,x202)
% 1.21/1.36 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 1.21/1.36 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 1.21/1.36 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 1.21/1.36 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 1.21/1.36 %EqnAxiom
% 1.21/1.36 [1]E(x11,x11)
% 1.21/1.36 [2]E(x22,x21)+~E(x21,x22)
% 1.21/1.36 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.21/1.36 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 1.30/1.36 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.30/1.36 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 1.30/1.36 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 1.30/1.36 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 1.30/1.36 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 1.30/1.36 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 1.30/1.36
% 1.30/1.36 %-------------------------------------------
% 1.30/1.36 cnf(24,plain,
% 1.30/1.36 (E(x241,f3(x241,f2(x241)))),
% 1.30/1.36 inference(scs_inference,[],[12,2])).
% 1.30/1.36 cnf(25,plain,
% 1.30/1.36 (~P2(f2(f2(a1)),f2(a1))),
% 1.30/1.36 inference(scs_inference,[],[15,12,2,18])).
% 1.30/1.36 cnf(27,plain,
% 1.30/1.36 (P1(a1)),
% 1.30/1.36 inference(scs_inference,[],[15,11,12,2,18,16])).
% 1.30/1.36 cnf(29,plain,
% 1.30/1.37 (~E(f2(a1),a1)),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,2,18,16,4])).
% 1.30/1.37 cnf(30,plain,
% 1.30/1.37 (P1(f3(f2(a1),f2(f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,2,18,16,4,8])).
% 1.30/1.37 cnf(31,plain,
% 1.30/1.37 (~E(f2(f2(a1)),f3(f4(f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,2,18,16,4,8,3])).
% 1.30/1.37 cnf(32,plain,
% 1.30/1.37 (E(f3(f4(x321),x321),x321)),
% 1.30/1.37 inference(rename_variables,[],[13])).
% 1.30/1.37 cnf(35,plain,
% 1.30/1.37 (E(f3(x351,f3(f4(x352),x352)),f3(x351,x352))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,32,2,18,16,4,8,3,19,7])).
% 1.30/1.37 cnf(36,plain,
% 1.30/1.37 (E(f3(f3(f4(x361),x361),x362),f3(x361,x362))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,32,2,18,16,4,8,3,19,7,6])).
% 1.30/1.37 cnf(37,plain,
% 1.30/1.37 (E(f4(f3(f4(x371),x371)),f4(x371))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,32,2,18,16,4,8,3,19,7,6,5])).
% 1.30/1.37 cnf(42,plain,
% 1.30/1.37 (P2(f2(a1),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,32,2,18,16,4,8,3,19,7,6,5,22,23,10])).
% 1.30/1.37 cnf(44,plain,
% 1.30/1.37 (~P2(f3(f3(x441,x442),x443),x444)+P2(f3(x441,f3(x442,x443)),x444)),
% 1.30/1.37 inference(scs_inference,[],[15,11,12,13,32,14,2,18,16,4,8,3,19,7,6,5,22,23,10,9])).
% 1.30/1.37 cnf(45,plain,
% 1.30/1.37 (E(f2(f3(f4(x451),x451)),f2(x451))),
% 1.30/1.37 inference(scs_inference,[],[13,4])).
% 1.30/1.37 cnf(46,plain,
% 1.30/1.37 (~E(f2(a1),f2(f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[13,25,42,4,9])).
% 1.30/1.37 cnf(47,plain,
% 1.30/1.37 (~E(f3(f2(a1),f2(f2(a1))),a1)),
% 1.30/1.37 inference(scs_inference,[],[13,24,25,42,29,4,9,3])).
% 1.30/1.37 cnf(48,plain,
% 1.30/1.37 (E(x481,f3(x481,f2(x481)))),
% 1.30/1.37 inference(rename_variables,[],[24])).
% 1.30/1.37 cnf(49,plain,
% 1.30/1.37 (~E(f3(f4(f2(a1)),f2(a1)),f2(f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[13,24,25,31,42,29,4,9,3,2])).
% 1.30/1.37 cnf(50,plain,
% 1.30/1.37 (P1(f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[13,24,48,25,31,42,29,27,4,9,3,2,8])).
% 1.30/1.37 cnf(52,plain,
% 1.30/1.37 (E(f4(f2(a1)),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[13,24,48,25,31,42,29,27,4,9,3,2,8,21])).
% 1.30/1.37 cnf(54,plain,
% 1.30/1.37 (P2(f3(f4(x541),x541),x541)+~P1(f3(f4(x541),x541))),
% 1.30/1.37 inference(scs_inference,[],[13,24,48,25,31,42,29,27,4,9,3,2,8,21,19])).
% 1.30/1.37 cnf(56,plain,
% 1.30/1.37 (~P2(f2(f2(a1)),f3(f4(f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[13,24,48,25,31,42,29,27,4,9,3,2,8,21,19,10])).
% 1.30/1.37 cnf(60,plain,
% 1.30/1.37 (E(f3(f4(x601),x601),f3(x601,f2(x601)))),
% 1.30/1.37 inference(scs_inference,[],[24,13,3])).
% 1.30/1.37 cnf(62,plain,
% 1.30/1.37 (~E(a1,f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[24,13,46,3,4])).
% 1.30/1.37 cnf(63,plain,
% 1.30/1.37 (E(f3(x631,f3(x632,x633)),f3(f3(x631,x632),x633))),
% 1.30/1.37 inference(scs_inference,[],[24,14,13,46,3,4,2])).
% 1.30/1.37 cnf(64,plain,
% 1.30/1.37 (~E(a1,f4(f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[52,62,3])).
% 1.30/1.37 cnf(65,plain,
% 1.30/1.37 (~E(a1,f3(f2(a1),f2(f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[52,47,62,3,2])).
% 1.30/1.37 cnf(66,plain,
% 1.30/1.37 (E(f2(x661),f2(f3(x661,f2(x661))))),
% 1.30/1.37 inference(scs_inference,[],[24,52,47,62,3,2,4])).
% 1.30/1.37 cnf(67,plain,
% 1.30/1.37 (~E(f3(a1,f2(a1)),f4(f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[24,64,3])).
% 1.30/1.37 cnf(69,plain,
% 1.30/1.37 (E(x691,f3(f4(x691),x691))),
% 1.30/1.37 inference(scs_inference,[],[24,13,64,3,2])).
% 1.30/1.37 cnf(70,plain,
% 1.30/1.37 (E(f4(f3(x701,f2(x701))),f4(x701))),
% 1.30/1.37 inference(scs_inference,[],[12,24,13,64,3,2,5])).
% 1.30/1.37 cnf(71,plain,
% 1.30/1.37 (~P2(f3(f4(f2(a1)),f2(a1)),f2(f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[12,24,13,49,64,3,2,5,18])).
% 1.30/1.37 cnf(73,plain,
% 1.30/1.37 (E(f3(x731,f3(x732,f2(x732))),f3(x731,x732))),
% 1.30/1.37 inference(scs_inference,[],[12,24,13,49,64,3,2,5,18,7])).
% 1.30/1.37 cnf(75,plain,
% 1.30/1.37 (E(f2(f3(x751,f2(x751))),f2(x751))),
% 1.30/1.37 inference(scs_inference,[],[12,24,13,49,64,3,2,5,18,7,6,4])).
% 1.30/1.37 cnf(76,plain,
% 1.30/1.37 (P2(f2(a1),f2(f3(a1,f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[66,42,10])).
% 1.30/1.37 cnf(78,plain,
% 1.30/1.37 (E(f3(f3(f4(x781),x781),f2(x781)),x781)),
% 1.30/1.37 inference(scs_inference,[],[12,66,36,42,10,3])).
% 1.30/1.37 cnf(80,plain,
% 1.30/1.37 (~E(f4(f2(a1)),f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[12,66,36,67,42,10,3,2])).
% 1.30/1.37 cnf(84,plain,
% 1.30/1.37 (~P2(f3(f4(x841),x841),x842)+P2(f3(x841,f2(x841)),x842)),
% 1.30/1.37 inference(scs_inference,[],[12,60,66,36,67,30,42,10,3,2,19,9])).
% 1.30/1.37 cnf(85,plain,
% 1.30/1.37 (P2(a1,f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[27,24,19])).
% 1.30/1.37 cnf(86,plain,
% 1.30/1.37 (E(x861,f3(x861,f2(x861)))),
% 1.30/1.37 inference(rename_variables,[],[24])).
% 1.30/1.37 cnf(88,plain,
% 1.30/1.37 (P2(f3(a1,f2(a1)),f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[27,24,86,19,9])).
% 1.30/1.37 cnf(89,plain,
% 1.30/1.37 (E(x891,f3(x891,f2(x891)))),
% 1.30/1.37 inference(rename_variables,[],[24])).
% 1.30/1.37 cnf(90,plain,
% 1.30/1.37 (E(x901,f3(f3(f4(x901),x901),f2(x901)))),
% 1.30/1.37 inference(scs_inference,[],[27,24,86,78,19,9,2])).
% 1.30/1.37 cnf(91,plain,
% 1.30/1.37 (~E(f4(f2(a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[27,24,86,89,78,80,19,9,2,3])).
% 1.30/1.37 cnf(96,plain,
% 1.30/1.37 (~E(f3(a1,f2(a1)),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[24,62,3])).
% 1.30/1.37 cnf(98,plain,
% 1.30/1.37 (~E(f2(a1),f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[24,62,3,2])).
% 1.30/1.37 cnf(102,plain,
% 1.30/1.37 (E(x1021,f3(f4(x1021),x1021))),
% 1.30/1.37 inference(rename_variables,[],[69])).
% 1.30/1.37 cnf(103,plain,
% 1.30/1.37 (E(f4(x1031),f4(f3(f4(x1031),x1031)))),
% 1.30/1.37 inference(scs_inference,[],[37,69,71,9,2])).
% 1.30/1.37 cnf(104,plain,
% 1.30/1.37 (E(x1041,f3(f4(x1041),f3(x1041,f2(x1041))))),
% 1.30/1.37 inference(scs_inference,[],[14,90,37,69,71,9,2,3])).
% 1.30/1.37 cnf(107,plain,
% 1.30/1.37 (~P2(f2(a1),a1)),
% 1.30/1.37 inference(scs_inference,[],[14,29,90,37,69,71,9,2,3,18])).
% 1.30/1.37 cnf(109,plain,
% 1.30/1.37 (E(f4(x1091),f4(f3(x1091,f2(x1091))))),
% 1.30/1.37 inference(scs_inference,[],[14,29,24,90,37,69,71,9,2,3,18,5])).
% 1.30/1.37 cnf(110,plain,
% 1.30/1.37 (E(f3(x1101,x1102),f3(f3(x1101,f2(x1101)),x1102))),
% 1.30/1.37 inference(scs_inference,[],[14,29,24,90,37,69,71,9,2,3,18,5,6])).
% 1.30/1.37 cnf(111,plain,
% 1.30/1.37 (E(f3(x1111,x1112),f3(x1111,f3(x1112,f2(x1112))))),
% 1.30/1.37 inference(scs_inference,[],[14,29,24,90,37,69,71,9,2,3,18,5,6,7])).
% 1.30/1.37 cnf(113,plain,
% 1.30/1.37 (E(f2(x1131),f2(f3(f4(x1131),x1131)))),
% 1.30/1.37 inference(scs_inference,[],[14,29,24,90,37,69,102,71,76,9,2,3,18,5,6,7,10,4])).
% 1.30/1.37 cnf(114,plain,
% 1.30/1.37 (P2(f3(f3(a1,f2(a1)),f2(a1)),f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[110,88,9])).
% 1.30/1.37 cnf(115,plain,
% 1.30/1.37 (E(f3(x1151,x1152),f3(f3(x1151,f2(x1151)),x1152))),
% 1.30/1.37 inference(rename_variables,[],[110])).
% 1.30/1.37 cnf(116,plain,
% 1.30/1.37 (E(f3(f3(x1161,x1162),x1163),f3(f3(x1161,f2(x1161)),f3(x1162,x1163)))),
% 1.30/1.37 inference(scs_inference,[],[14,110,115,88,9,3])).
% 1.30/1.37 cnf(119,plain,
% 1.30/1.37 (E(f3(f4(x1191),f3(x1191,f2(x1191))),x1191)),
% 1.30/1.37 inference(scs_inference,[],[104,2])).
% 1.30/1.37 cnf(120,plain,
% 1.30/1.37 (~E(f2(f3(f4(a1),a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[29,104,113,2,3])).
% 1.30/1.37 cnf(122,plain,
% 1.30/1.37 (P1(f3(f3(a1,f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[29,104,113,114,2,3,20])).
% 1.30/1.37 cnf(127,plain,
% 1.30/1.37 (P1(f2(f3(a1,f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[122,22])).
% 1.30/1.37 cnf(131,plain,
% 1.30/1.37 (P2(f3(a1,f2(a1)),f3(f3(a1,f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[24,122,85,110,22,10,9])).
% 1.30/1.37 cnf(136,plain,
% 1.30/1.37 (E(a1,f3(f3(a1,f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[24,29,119,122,120,85,110,22,10,9,2,3,18])).
% 1.30/1.37 cnf(141,plain,
% 1.30/1.37 (E(f2(f3(x1411,f2(x1411))),f2(x1411))),
% 1.30/1.37 inference(rename_variables,[],[75])).
% 1.30/1.37 cnf(143,plain,
% 1.30/1.37 (~E(f3(f3(a1,f2(a1)),f2(a1)),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[75,127,131,96,18,19,10])).
% 1.30/1.37 cnf(146,plain,
% 1.30/1.37 (E(f3(x1461,x1462),f3(x1461,f3(f4(x1462),x1462)))),
% 1.30/1.37 inference(scs_inference,[],[75,141,35,127,131,96,107,18,19,10,9,2])).
% 1.30/1.37 cnf(147,plain,
% 1.30/1.37 (E(f3(f4(x1471),f3(f4(x1471),x1471)),x1471)),
% 1.30/1.37 inference(scs_inference,[],[75,141,35,127,131,96,107,13,18,19,10,9,2,3])).
% 1.30/1.37 cnf(150,plain,
% 1.30/1.37 (E(f3(x1501,x1502),f3(f3(f4(x1501),x1501),x1502))),
% 1.30/1.37 inference(scs_inference,[],[75,141,35,127,131,96,107,69,13,18,19,10,9,2,3,6])).
% 1.30/1.37 cnf(151,plain,
% 1.30/1.37 (~P2(f3(f4(a1),a1),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[75,141,35,127,131,96,107,69,13,18,19,10,9,2,3,6,84])).
% 1.30/1.37 cnf(154,plain,
% 1.30/1.37 (~P2(f3(f4(a1),f3(a1,f2(a1))),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[147,73,151,107,10,9])).
% 1.30/1.37 cnf(157,plain,
% 1.30/1.37 (~E(f3(a1,f3(f2(a1),f2(a1))),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[147,73,151,143,107,14,10,9,2,3])).
% 1.30/1.37 cnf(163,plain,
% 1.30/1.37 (~P2(f2(a1),f3(a1,f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[98,18])).
% 1.30/1.37 cnf(165,plain,
% 1.30/1.37 (P2(a1,f3(f3(f4(a1),a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[27,98,90,18,19])).
% 1.30/1.37 cnf(168,plain,
% 1.30/1.37 (~P2(f2(a1),f3(f4(a1),a1))),
% 1.30/1.37 inference(scs_inference,[],[27,98,60,90,18,19,10])).
% 1.30/1.37 cnf(171,plain,
% 1.30/1.37 (~E(f2(a1),f3(f3(f4(a1),a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[27,29,116,98,60,78,90,18,19,10,2,3])).
% 1.30/1.37 cnf(177,plain,
% 1.30/1.37 (~E(f3(f3(f4(a1),a1),f2(a1)),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[171,2])).
% 1.30/1.37 cnf(178,plain,
% 1.30/1.37 (E(f3(x1781,x1782),f3(f3(x1781,x1782),f2(x1782)))),
% 1.30/1.37 inference(scs_inference,[],[111,63,171,2,3])).
% 1.30/1.37 cnf(181,plain,
% 1.30/1.37 (~E(f2(a1),f3(f4(a1),a1))),
% 1.30/1.37 inference(scs_inference,[],[168,11,19])).
% 1.30/1.37 cnf(183,plain,
% 1.30/1.37 (E(f3(f3(x1831,x1832),f2(x1832)),f3(x1831,x1832))),
% 1.30/1.37 inference(scs_inference,[],[178,168,11,19,2])).
% 1.30/1.37 cnf(184,plain,
% 1.30/1.37 (~E(f3(f4(f2(a1)),f2(a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[29,178,168,69,11,19,2,3])).
% 1.30/1.37 cnf(187,plain,
% 1.30/1.37 (~E(f2(a1),f3(f4(a1),f3(f4(a1),a1)))),
% 1.30/1.37 inference(scs_inference,[],[35,184,181,2,3])).
% 1.30/1.37 cnf(191,plain,
% 1.30/1.37 (E(f3(f3(a1,f2(a1)),f2(a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[136,122,14,8,2])).
% 1.30/1.37 cnf(192,plain,
% 1.30/1.37 (E(f3(f3(f4(f3(x1921,x1922)),f3(x1921,x1922)),f2(x1922)),f3(x1921,x1922))),
% 1.30/1.37 inference(scs_inference,[],[36,183,136,122,14,8,2,3])).
% 1.30/1.37 cnf(194,plain,
% 1.30/1.37 (~P2(a1,f3(f2(a1),f2(f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[36,183,136,65,122,14,8,2,3,18])).
% 1.30/1.37 cnf(196,plain,
% 1.30/1.37 (E(f4(f3(f2(a1),f2(a1))),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[36,183,136,65,122,14,8,2,3,18,21])).
% 1.30/1.37 cnf(201,plain,
% 1.30/1.37 (~E(f3(f4(a1),a1),f2(a1))),
% 1.30/1.37 inference(scs_inference,[],[177,191,183,122,19,3])).
% 1.30/1.37 cnf(204,plain,
% 1.30/1.37 (P1(f3(f4(a1),f3(a1,f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[187,177,191,104,183,122,27,19,3,2,8])).
% 1.30/1.37 cnf(207,plain,
% 1.30/1.37 (P1(f2(f4(a1)))),
% 1.30/1.37 inference(scs_inference,[],[187,177,191,104,183,122,27,19,3,2,8,44,22])).
% 1.30/1.37 cnf(209,plain,
% 1.30/1.37 (E(f3(a1,f3(f2(a1),f2(a1))),a1)),
% 1.30/1.37 inference(scs_inference,[],[187,177,191,104,183,122,27,19,3,2,8,44,22,18])).
% 1.30/1.37 cnf(211,plain,
% 1.30/1.37 (P1(f4(a1))),
% 1.30/1.37 inference(scs_inference,[],[207,16])).
% 1.30/1.37 cnf(213,plain,
% 1.30/1.37 (~P2(f4(f2(a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[91,207,16,18])).
% 1.30/1.37 cnf(218,plain,
% 1.30/1.37 (~E(f4(f2(a1)),f3(f3(f4(a1),a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[36,192,204,91,207,154,80,16,18,19,2,3])).
% 1.30/1.37 cnf(219,plain,
% 1.30/1.37 (E(f3(f3(f4(x2191),x2191),x2192),f3(x2191,x2192))),
% 1.30/1.37 inference(rename_variables,[],[36])).
% 1.30/1.37 cnf(220,plain,
% 1.30/1.37 (~P2(f2(a1),f3(f3(f4(a1),a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[36,219,192,204,91,163,207,154,80,16,18,19,2,3,10])).
% 1.30/1.37 cnf(225,plain,
% 1.30/1.37 (E(f3(f3(x2251,f4(x2252)),x2252),f3(x2251,x2252))),
% 1.30/1.37 inference(scs_inference,[],[35,157,220,63,14,10,2,3])).
% 1.30/1.37 cnf(229,plain,
% 1.30/1.37 (E(f3(x2291,x2292),f3(f3(x2291,f4(x2292)),x2292))),
% 1.30/1.37 inference(scs_inference,[],[225,2])).
% 1.30/1.37 cnf(230,plain,
% 1.30/1.37 (~E(f4(f2(a1)),f3(f4(a1),a1))),
% 1.30/1.37 inference(scs_inference,[],[225,218,178,2,3])).
% 1.30/1.37 cnf(237,plain,
% 1.30/1.37 (E(f4(f3(f4(x2371),x2371)),f4(x2371))),
% 1.30/1.37 inference(rename_variables,[],[37])).
% 1.30/1.37 cnf(239,plain,
% 1.30/1.37 (P1(f3(f4(a1),a1))),
% 1.30/1.37 inference(scs_inference,[],[37,103,230,211,136,64,8,2,3,19,17])).
% 1.30/1.37 cnf(241,plain,
% 1.30/1.37 (E(f4(a1),f2(f4(a1)))),
% 1.30/1.37 inference(scs_inference,[],[37,103,230,211,136,64,8,2,3,19,17,21])).
% 1.30/1.37 cnf(245,plain,
% 1.30/1.37 (P2(f4(a1),f4(a1))),
% 1.30/1.37 inference(scs_inference,[],[37,237,103,230,211,136,64,8,2,3,19,17,21,18,9])).
% 1.30/1.37 cnf(249,plain,
% 1.30/1.37 (~P2(f4(f3(f2(a1),f2(a1))),a1)),
% 1.30/1.37 inference(scs_inference,[],[196,107,9])).
% 1.30/1.37 cnf(251,plain,
% 1.30/1.37 (E(a1,f3(a1,f3(f2(a1),f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[209,196,107,9,10,2])).
% 1.30/1.37 cnf(252,plain,
% 1.30/1.37 (P2(f3(f4(a1),a1),a1)),
% 1.30/1.37 inference(scs_inference,[],[239,209,196,107,9,10,2,54])).
% 1.30/1.37 cnf(255,plain,
% 1.30/1.37 (E(f4(x2551),f4(f3(x2551,f2(x2551))))),
% 1.30/1.37 inference(rename_variables,[],[109])).
% 1.30/1.37 cnf(257,plain,
% 1.30/1.37 (P1(f4(f3(a1,f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[109,255,239,209,196,211,107,9,10,2,54,19,8])).
% 1.30/1.37 cnf(262,plain,
% 1.30/1.37 (P2(f3(f4(a1),f3(f4(a1),a1)),a1)),
% 1.30/1.37 inference(scs_inference,[],[146,252,9])).
% 1.30/1.37 cnf(275,plain,
% 1.30/1.37 (E(f3(f3(f4(x2751),x2751),f3(x2752,x2753)),f3(f3(x2751,x2752),x2753))),
% 1.30/1.37 inference(scs_inference,[],[36,245,251,241,63,27,19,9,10,3])).
% 1.30/1.37 cnf(284,plain,
% 1.30/1.37 (E(f3(f3(f4(f4(x2841)),f4(x2841)),f3(x2841,x2842)),f3(x2841,x2842))),
% 1.30/1.37 inference(scs_inference,[],[36,45,275,257,70,107,19,9,3])).
% 1.30/1.37 cnf(290,plain,
% 1.30/1.37 (P2(a1,a1)),
% 1.30/1.37 inference(scs_inference,[],[262,147,9])).
% 1.30/1.37 cnf(293,plain,
% 1.30/1.37 (P1(f3(f3(f4(a1),f4(a1)),a1))),
% 1.30/1.37 inference(scs_inference,[],[229,239,8])).
% 1.30/1.37 cnf(294,plain,
% 1.30/1.37 (E(f3(x2941,x2942),f3(f3(x2941,f4(x2942)),x2942))),
% 1.30/1.37 inference(rename_variables,[],[229])).
% 1.30/1.37 cnf(297,plain,
% 1.30/1.37 (~E(a1,f4(f3(f2(a1),f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[229,294,290,201,239,249,8,3,9])).
% 1.30/1.37 cnf(304,plain,
% 1.30/1.37 (P1(f2(f3(f4(a1),f4(a1))))),
% 1.30/1.37 inference(scs_inference,[],[284,293,150,21,2,3,22])).
% 1.30/1.37 cnf(310,plain,
% 1.30/1.37 (P1(f3(f4(a1),f4(a1)))),
% 1.30/1.37 inference(scs_inference,[],[304,16])).
% 1.30/1.37 cnf(323,plain,
% 1.30/1.37 (~P2(a1,f3(f4(f2(a1)),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[297,194,60,18,10])).
% 1.30/1.37 cnf(330,plain,
% 1.30/1.37 (E(f4(f4(a1)),f2(f4(a1)))),
% 1.30/1.37 inference(scs_inference,[],[310,213,191,10,21])).
% 1.30/1.37 cnf(333,plain,
% 1.30/1.37 (P2(a1,f3(f4(a1),a1))),
% 1.30/1.37 inference(scs_inference,[],[165,183,10])).
% 1.30/1.37 cnf(337,plain,
% 1.30/1.37 (~P1(f3(f2(a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[52,165,183,15,10,3,2,21])).
% 1.30/1.37 cnf(339,plain,
% 1.30/1.37 (~E(f3(a1,f2(a1)),f3(f2(a1),f2(a1)))),
% 1.30/1.37 inference(scs_inference,[],[50,52,165,183,15,10,3,2,21,8])).
% 1.30/1.37 cnf(342,plain,
% 1.30/1.37 (~P2(f3(f2(a1),f2(a1)),x3421)),
% 1.30/1.37 inference(scs_inference,[],[337,20])).
% 1.30/1.37 cnf(344,plain,
% 1.30/1.37 (~P1(f2(f3(f2(a1),f2(a1))))),
% 1.30/1.37 inference(scs_inference,[],[337,20,16])).
% 1.30/1.38 cnf(346,plain,
% 1.30/1.38 (E(f4(f2(a1)),f3(f4(f2(a1)),f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[52,337,69,20,16,3])).
% 1.30/1.38 cnf(348,plain,
% 1.30/1.38 (E(f2(a1),f4(f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[52,337,69,20,16,3,2])).
% 1.30/1.38 cnf(351,plain,
% 1.30/1.38 (~P2(f3(a1,f2(a1)),f3(f2(a1),f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[52,339,337,69,20,16,3,2,17,18])).
% 1.30/1.38 cnf(353,plain,
% 1.30/1.38 (~E(f3(f4(a1),a1),f3(f4(f2(a1)),f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[52,339,323,333,337,69,20,16,3,2,17,18,10])).
% 1.30/1.38 cnf(360,plain,
% 1.30/1.38 (~P2(f3(f4(a1),a1),f3(f2(a1),f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[351,84])).
% 1.30/1.38 cnf(361,plain,
% 1.30/1.38 (~E(f3(f4(a1),a1),f3(f2(a1),f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[351,239,84,19])).
% 1.30/1.38 cnf(366,plain,
% 1.30/1.38 (P1(f4(f2(a1)))),
% 1.30/1.38 inference(scs_inference,[],[353,351,348,239,42,84,19,9,10,2,20])).
% 1.30/1.38 cnf(374,plain,
% 1.30/1.38 (E(f2(f4(a1)),f4(f4(a1)))),
% 1.30/1.38 inference(scs_inference,[],[56,344,330,346,366,154,104,20,8,9,10,2])).
% 1.30/1.38 cnf(377,plain,
% 1.30/1.38 (P2(f3(f4(f2(a1)),f2(a1)),f2(a1))),
% 1.30/1.38 inference(scs_inference,[],[56,344,330,346,366,154,104,20,8,9,10,2,22,54])).
% 1.30/1.38 cnf(388,plain,
% 1.30/1.38 ($false),
% 1.30/1.38 inference(scs_inference,[],[52,360,361,342,374,377,252,207,241,19,9,10,3,2,6]),
% 1.30/1.38 ['proof']).
% 1.30/1.38 % SZS output end Proof
% 1.30/1.38 % Total time :0.730000s
%------------------------------------------------------------------------------