TSTP Solution File: CAT011-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT011-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 0.90s 1.02s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT011-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n010.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 23:55:35 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.90/1.02 %-------------------------------------------
% 0.90/1.02 % File :CSE---1.6
% 0.90/1.02 % Problem :theBenchmark
% 0.90/1.02 % Transform :cnf
% 0.90/1.02 % Format :tptp:raw
% 0.90/1.02 % Command :java -jar mcs_scs.jar %d %s
% 0.90/1.02
% 0.90/1.02 % Result :Theorem 0.410000s
% 0.90/1.02 % Output :CNFRefutation 0.410000s
% 0.90/1.02 %-------------------------------------------
% 0.90/1.02 %--------------------------------------------------------------------------
% 0.90/1.02 % File : CAT011-3 : TPTP v8.1.2. Released v1.0.0.
% 0.90/1.02 % Domain : Category Theory
% 0.90/1.02 % Problem : domain(domain(x)) = domain(x)
% 0.90/1.02 % Version : [Sco79] axioms : Reduced > Complete.
% 0.90/1.02 % English :
% 0.90/1.02
% 0.90/1.02 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.90/1.02 % Source : [ANL]
% 0.90/1.02 % Names : p11.ver3.in [ANL]
% 0.90/1.02
% 0.90/1.02 % Status : Unsatisfiable
% 0.90/1.02 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.35 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.19 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.1, 0.44 v2.2.0, 0.56 v2.1.0, 0.56 v2.0.0
% 0.90/1.02 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 0.90/1.02 % Number of literals : 39 ( 16 equ; 18 neg)
% 0.90/1.02 % Maximal clause size : 4 ( 2 avg)
% 0.90/1.02 % Maximal term depth : 3 ( 1 avg)
% 0.90/1.02 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.90/1.02 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.90/1.02 % Number of variables : 31 ( 4 sgn)
% 0.90/1.02 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.90/1.02
% 0.90/1.02 % Comments : Axioms simplified by Art Quaife.
% 0.90/1.02 %--------------------------------------------------------------------------
% 0.90/1.02 %----Include Scott's axioms for category theory
% 0.90/1.02 include('Axioms/CAT003-0.ax').
% 0.90/1.02 %--------------------------------------------------------------------------
% 0.90/1.02 cnf(assume_domain_exists,hypothesis,
% 0.90/1.02 there_exists(domain(a)) ).
% 0.90/1.02
% 0.90/1.02 cnf(prove_domain_is_idempotent,negated_conjecture,
% 0.90/1.02 domain(domain(a)) != domain(a) ).
% 0.90/1.02
% 0.90/1.02 %--------------------------------------------------------------------------
% 0.90/1.02 %-------------------------------------------
% 0.90/1.02 % Proof found
% 0.90/1.02 % SZS status Theorem for theBenchmark
% 0.90/1.02 % SZS output start Proof
% 0.90/1.02 %ClaNum:30(EqnAxiom:12)
% 0.90/1.02 %VarNum:58(SingletonVarNum:27)
% 0.90/1.02 %MaxLitNum:3
% 0.90/1.02 %MaxfuncDepth:2
% 0.90/1.02 %SharedTerms:5
% 0.90/1.02 %goalClause: 17
% 0.90/1.02 %singleGoalClaCount:1
% 0.90/1.02 [13]P1(f2(a1))
% 0.90/1.02 [17]~E(f2(f2(a1)),f2(a1))
% 0.90/1.02 [14]E(f3(x141,f2(x141)),x141)
% 0.90/1.02 [15]E(f3(f4(x151),x151),x151)
% 0.90/1.02 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 0.90/1.02 [18]P1(x181)+~P1(f2(x181))
% 0.90/1.02 [19]P1(x191)+~P1(f4(x191))
% 0.90/1.02 [20]~P2(x201,x202)+E(x201,x202)
% 0.90/1.02 [22]P1(x221)+~P2(x222,x221)
% 0.90/1.02 [23]P1(x231)+~P2(x231,x232)
% 0.90/1.02 [25]E(x251,x252)+P1(f5(x251,x252))
% 0.90/1.02 [27]E(f4(x271),f2(x272))+~P1(f3(x272,x271))
% 0.90/1.02 [28]P1(f2(x281))+~P1(f3(x281,x282))
% 0.90/1.02 [29]P1(f4(x291))+~P1(f3(x291,x292))
% 0.90/1.02 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 0.90/1.02 [26]E(x261,x262)+E(f5(x261,x262),x262)+E(f5(x261,x262),x261)
% 0.90/1.02 [30]~E(f4(x302),f2(x301))+~P1(f2(x301))+P1(f3(x301,x302))
% 0.90/1.02 %EqnAxiom
% 0.90/1.02 [1]E(x11,x11)
% 0.90/1.02 [2]E(x22,x21)+~E(x21,x22)
% 0.90/1.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.90/1.02 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.90/1.02 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.90/1.02 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.90/1.02 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.90/1.02 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.90/1.02 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.90/1.02 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.90/1.02 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.90/1.02 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.90/1.02
% 0.90/1.02 %-------------------------------------------
% 0.90/1.03 cnf(31,plain,
% 0.90/1.03 (E(x311,f3(x311,f2(x311)))),
% 0.90/1.03 inference(scs_inference,[],[14,2])).
% 0.90/1.03 cnf(32,plain,
% 0.90/1.03 (~P2(f2(f2(a1)),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[17,14,2,20])).
% 0.90/1.03 cnf(34,plain,
% 0.90/1.03 (P1(a1)),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,2,20,18])).
% 0.90/1.03 cnf(36,plain,
% 0.90/1.03 (~E(f2(a1),a1)),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,2,20,18,4])).
% 0.90/1.03 cnf(37,plain,
% 0.90/1.03 (P1(f3(f2(a1),f2(f2(a1))))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,2,20,18,4,10])).
% 0.90/1.03 cnf(38,plain,
% 0.90/1.03 (~E(f2(f2(a1)),f3(f4(f2(a1)),f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,2,20,18,4,10,3])).
% 0.90/1.03 cnf(39,plain,
% 0.90/1.03 (E(f3(f4(x391),x391),x391)),
% 0.90/1.03 inference(rename_variables,[],[15])).
% 0.90/1.03 cnf(40,plain,
% 0.90/1.03 (P2(f2(a1),f3(f2(a1),f2(f2(a1))))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,2,20,18,4,10,3,21])).
% 0.90/1.03 cnf(42,plain,
% 0.90/1.03 (E(f5(x421,f3(f4(x422),x422)),f5(x421,x422))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9])).
% 0.90/1.03 cnf(44,plain,
% 0.90/1.03 (E(f3(x441,f3(f4(x442),x442)),f3(x441,x442))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7])).
% 0.90/1.03 cnf(45,plain,
% 0.90/1.03 (E(f3(f3(f4(x451),x451),x452),f3(x451,x452))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6])).
% 0.90/1.03 cnf(46,plain,
% 0.90/1.03 (E(f4(f3(f4(x461),x461)),f4(x461))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6,5])).
% 0.90/1.03 cnf(47,plain,
% 0.90/1.03 (P1(f4(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6,5,29])).
% 0.90/1.03 cnf(49,plain,
% 0.90/1.03 (P1(f2(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6,5,29,28])).
% 0.90/1.03 cnf(53,plain,
% 0.90/1.03 (~E(f4(x531),f2(a1))+P1(f3(a1,x531))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6,5,29,28,25,30])).
% 0.90/1.03 cnf(55,plain,
% 0.90/1.03 (P2(f2(a1),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,2,20,18,4,10,3,21,9,8,7,6,5,29,28,25,30,12])).
% 0.90/1.03 cnf(57,plain,
% 0.90/1.03 (~P2(f3(f3(x571,x572),x573),x574)+P2(f3(x571,f3(x572,x573)),x574)),
% 0.90/1.03 inference(scs_inference,[],[17,13,14,15,39,16,2,20,18,4,10,3,21,9,8,7,6,5,29,28,25,30,12,11])).
% 0.90/1.03 cnf(60,plain,
% 0.90/1.03 (~E(f2(a1),f2(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[32,55,11])).
% 0.90/1.03 cnf(61,plain,
% 0.90/1.03 (P1(f3(a1,f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,32,55,34,11,10])).
% 0.90/1.03 cnf(62,plain,
% 0.90/1.03 (E(x621,f3(x621,f2(x621)))),
% 0.90/1.03 inference(rename_variables,[],[31])).
% 0.90/1.03 cnf(65,plain,
% 0.90/1.03 (~E(f3(f4(f2(a1)),f2(a1)),f2(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,62,32,38,55,36,34,11,10,3,2])).
% 0.90/1.03 cnf(66,plain,
% 0.90/1.03 (E(f2(f3(f4(x661),x661)),f2(x661))),
% 0.90/1.03 inference(scs_inference,[],[15,31,62,32,38,55,36,34,11,10,3,2,4])).
% 0.90/1.03 cnf(67,plain,
% 0.90/1.03 (E(f4(f2(a1)),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[15,31,62,32,38,55,36,34,11,10,3,2,4,27])).
% 0.90/1.03 cnf(70,plain,
% 0.90/1.03 (E(f3(f4(x701),x701),x701)),
% 0.90/1.03 inference(rename_variables,[],[15])).
% 0.90/1.03 cnf(71,plain,
% 0.90/1.03 (P2(f3(f4(x711),x711),x711)+~P1(f3(f4(x711),x711))),
% 0.90/1.03 inference(scs_inference,[],[15,70,31,62,32,38,55,36,34,11,10,3,2,4,27,12,21])).
% 0.90/1.03 cnf(77,plain,
% 0.90/1.03 (~E(a1,f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[60,4])).
% 0.90/1.03 cnf(78,plain,
% 0.90/1.03 (E(f3(f4(x781),x781),f3(x781,f2(x781)))),
% 0.90/1.03 inference(scs_inference,[],[31,15,60,4,3])).
% 0.90/1.03 cnf(80,plain,
% 0.90/1.03 (E(f3(x801,f3(x802,x803)),f3(f3(x801,x802),x803))),
% 0.90/1.03 inference(scs_inference,[],[31,16,15,60,4,3,2])).
% 0.90/1.03 cnf(81,plain,
% 0.90/1.03 (E(f2(x811),f2(f3(x811,f2(x811))))),
% 0.90/1.03 inference(scs_inference,[],[31,4])).
% 0.90/1.03 cnf(82,plain,
% 0.90/1.03 (~E(a1,f4(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,67,77,4,3])).
% 0.90/1.03 cnf(84,plain,
% 0.90/1.03 (~E(f3(a1,f2(a1)),f4(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,82,3])).
% 0.90/1.03 cnf(86,plain,
% 0.90/1.03 (E(x861,f3(f4(x861),x861))),
% 0.90/1.03 inference(scs_inference,[],[31,15,82,3,2])).
% 0.90/1.03 cnf(89,plain,
% 0.90/1.03 (P1(f4(a1))),
% 0.90/1.03 inference(scs_inference,[],[31,15,61,82,3,2,25,29])).
% 0.90/1.03 cnf(92,plain,
% 0.90/1.03 (E(f3(x921,f3(x922,f2(x922))),f3(x921,x922))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,61,82,3,2,25,29,9,7])).
% 0.90/1.03 cnf(93,plain,
% 0.90/1.03 (E(f3(f3(x931,f2(x931)),x932),f3(x931,x932))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,61,82,3,2,25,29,9,7,6])).
% 0.90/1.03 cnf(94,plain,
% 0.90/1.03 (~P2(f3(f4(f2(a1)),f2(a1)),f2(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,65,61,82,3,2,25,29,9,7,6,20])).
% 0.90/1.03 cnf(96,plain,
% 0.90/1.03 (E(f5(f3(x961,f2(x961)),x962),f5(x961,x962))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,65,61,82,3,2,25,29,9,7,6,20,8])).
% 0.90/1.03 cnf(97,plain,
% 0.90/1.03 (E(f4(f3(x971,f2(x971))),f4(x971))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,65,61,82,3,2,25,29,9,7,6,20,8,5])).
% 0.90/1.03 cnf(98,plain,
% 0.90/1.03 (E(f2(f3(x981,f2(x981))),f2(x981))),
% 0.90/1.03 inference(scs_inference,[],[14,31,15,65,61,82,3,2,25,29,9,7,6,20,8,5,4])).
% 0.90/1.03 cnf(99,plain,
% 0.90/1.03 (P2(f2(a1),f2(f3(a1,f2(a1))))),
% 0.90/1.03 inference(scs_inference,[],[81,55,12])).
% 0.90/1.03 cnf(101,plain,
% 0.90/1.03 (E(f3(f3(f4(x1011),x1011),f2(x1011)),x1011)),
% 0.90/1.03 inference(scs_inference,[],[14,81,45,55,12,3])).
% 0.90/1.03 cnf(103,plain,
% 0.90/1.03 (~E(f4(f2(a1)),f3(a1,f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[14,81,45,84,55,12,3,2])).
% 0.90/1.03 cnf(104,plain,
% 0.90/1.03 (P1(f2(f3(a1,f2(a1))))),
% 0.90/1.03 inference(scs_inference,[],[14,81,45,84,55,12,3,2,22])).
% 0.90/1.03 cnf(106,plain,
% 0.90/1.03 (P2(f3(f2(a1),f2(f2(a1))),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[14,81,45,84,37,55,12,3,2,22,21])).
% 0.90/1.03 cnf(109,plain,
% 0.90/1.03 (~P2(f3(f4(x1091),x1091),x1092)+P2(f3(x1091,f2(x1091)),x1092)),
% 0.90/1.03 inference(scs_inference,[],[14,78,81,45,84,37,55,12,3,2,22,21,11])).
% 0.90/1.03 cnf(110,plain,
% 0.90/1.03 (P1(f3(f4(a1),f2(f4(a1))))),
% 0.90/1.03 inference(scs_inference,[],[14,31,78,81,45,84,37,89,55,12,3,2,22,21,11,10])).
% 0.90/1.03 cnf(112,plain,
% 0.90/1.03 (P1(f2(f4(a1)))),
% 0.90/1.03 inference(scs_inference,[],[110,28])).
% 0.90/1.03 cnf(115,plain,
% 0.90/1.03 (E(x1151,f3(x1151,f2(x1151)))),
% 0.90/1.03 inference(rename_variables,[],[31])).
% 0.90/1.03 cnf(117,plain,
% 0.90/1.03 (P2(f3(a1,f2(a1)),f3(a1,f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[34,31,115,110,28,21,11])).
% 0.90/1.03 cnf(118,plain,
% 0.90/1.03 (E(x1181,f3(x1181,f2(x1181)))),
% 0.90/1.03 inference(rename_variables,[],[31])).
% 0.90/1.03 cnf(119,plain,
% 0.90/1.03 (~E(f4(f2(a1)),a1)),
% 0.90/1.03 inference(scs_inference,[],[34,31,115,118,103,110,28,21,11,3])).
% 0.90/1.03 cnf(121,plain,
% 0.90/1.03 (E(x1211,f3(f3(f4(x1211),x1211),f2(x1211)))),
% 0.90/1.03 inference(scs_inference,[],[34,31,115,118,101,103,110,28,21,11,3,2])).
% 0.90/1.03 cnf(122,plain,
% 0.90/1.03 (~P1(f3(f3(x1221,x1222),x1223))+P1(f3(x1221,f3(x1222,x1223)))),
% 0.90/1.03 inference(scs_inference,[],[34,16,31,115,118,101,103,110,28,21,11,3,2,10])).
% 0.90/1.03 cnf(123,plain,
% 0.90/1.03 (~P1(f3(f3(x1231,x1232),x1233))+E(f4(f3(x1232,x1233)),f2(x1231))),
% 0.90/1.03 inference(scs_inference,[],[34,16,31,115,118,101,103,110,28,21,11,3,2,10,27])).
% 0.90/1.03 cnf(125,plain,
% 0.90/1.03 (~E(f3(a1,f2(a1)),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[31,77,3])).
% 0.90/1.03 cnf(127,plain,
% 0.90/1.03 (~E(f2(a1),f3(a1,f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,77,3,2])).
% 0.90/1.03 cnf(136,plain,
% 0.90/1.03 (E(x1361,f3(f4(x1361),x1361))),
% 0.90/1.03 inference(rename_variables,[],[86])).
% 0.90/1.03 cnf(137,plain,
% 0.90/1.03 (E(x1371,f3(f4(x1371),f3(x1371,f2(x1371))))),
% 0.90/1.03 inference(scs_inference,[],[16,121,86,94,11,3])).
% 0.90/1.03 cnf(138,plain,
% 0.90/1.03 (E(x1381,f3(f3(f4(x1381),x1381),f2(x1381)))),
% 0.90/1.03 inference(rename_variables,[],[121])).
% 0.90/1.03 cnf(140,plain,
% 0.90/1.03 (E(f4(x1401),f4(f3(f4(x1401),x1401)))),
% 0.90/1.03 inference(scs_inference,[],[16,121,46,86,94,11,3,2])).
% 0.90/1.03 cnf(145,plain,
% 0.90/1.03 (~P2(f2(a1),a1)),
% 0.90/1.03 inference(scs_inference,[],[16,36,121,46,86,94,110,11,3,2,25,29,20])).
% 0.90/1.03 cnf(148,plain,
% 0.90/1.03 (E(f3(x1481,x1482),f3(x1481,f3(x1482,f2(x1482))))),
% 0.90/1.03 inference(scs_inference,[],[16,36,31,121,46,86,94,110,11,3,2,25,29,20,9,7])).
% 0.90/1.03 cnf(149,plain,
% 0.90/1.03 (E(f3(x1491,x1492),f3(f3(x1491,f2(x1491)),x1492))),
% 0.90/1.03 inference(scs_inference,[],[16,36,31,121,46,86,94,110,11,3,2,25,29,20,9,7,6])).
% 0.90/1.03 cnf(151,plain,
% 0.90/1.03 (E(f5(x1511,x1512),f5(f3(x1511,f2(x1511)),x1512))),
% 0.90/1.03 inference(scs_inference,[],[16,36,31,121,46,86,94,110,11,3,2,25,29,20,9,7,6,5,8])).
% 0.90/1.03 cnf(153,plain,
% 0.90/1.03 (P1(f3(f3(f4(a1),a1),f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[16,36,34,31,121,138,46,86,94,99,110,11,3,2,25,29,20,9,7,6,5,8,12,10])).
% 0.90/1.03 cnf(155,plain,
% 0.90/1.03 (E(f2(x1551),f2(f3(f4(x1551),x1551)))),
% 0.90/1.03 inference(scs_inference,[],[16,36,34,31,121,138,46,86,136,94,99,110,11,3,2,25,29,20,9,7,6,5,8,12,10,4])).
% 0.90/1.03 cnf(156,plain,
% 0.90/1.03 (P1(f3(f4(a1),f3(a1,f2(a1))))),
% 0.90/1.03 inference(scs_inference,[],[16,36,34,31,121,138,46,86,136,94,99,110,11,3,2,25,29,20,9,7,6,5,8,12,10,4,122])).
% 0.90/1.03 cnf(157,plain,
% 0.90/1.03 (P2(f3(f3(a1,f2(a1)),f2(a1)),f3(a1,f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[149,117,11])).
% 0.90/1.03 cnf(162,plain,
% 0.90/1.03 (E(f3(f4(x1621),f3(x1621,f2(x1621))),x1621)),
% 0.90/1.03 inference(scs_inference,[],[137,2])).
% 0.90/1.03 cnf(166,plain,
% 0.90/1.03 (~E(f2(f3(f4(a1),a1)),a1)),
% 0.90/1.03 inference(scs_inference,[],[31,36,137,155,89,2,21,3])).
% 0.90/1.03 cnf(168,plain,
% 0.90/1.03 (P1(f3(f3(a1,f2(a1)),f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,36,137,155,157,89,2,21,3,23])).
% 0.90/1.03 cnf(170,plain,
% 0.90/1.03 (P1(f2(f3(f4(a1),a1)))),
% 0.90/1.03 inference(scs_inference,[],[31,36,137,155,157,153,89,2,21,3,23,28])).
% 0.90/1.03 cnf(172,plain,
% 0.90/1.03 (P1(f3(f4(a1),a1))),
% 0.90/1.03 inference(scs_inference,[],[170,18])).
% 0.90/1.03 cnf(174,plain,
% 0.90/1.03 (P2(f3(f4(a1),f3(a1,f2(a1))),a1)),
% 0.90/1.03 inference(scs_inference,[],[162,156,170,18,21])).
% 0.90/1.03 cnf(175,plain,
% 0.90/1.03 (E(f3(f4(x1751),f3(x1751,f2(x1751))),x1751)),
% 0.90/1.03 inference(rename_variables,[],[162])).
% 0.90/1.03 cnf(177,plain,
% 0.90/1.03 (~P2(f2(f2(a1)),f4(f2(a1)))),
% 0.90/1.03 inference(scs_inference,[],[32,162,156,170,67,18,21,12])).
% 0.90/1.03 cnf(178,plain,
% 0.90/1.03 (~E(f3(f4(a1),f3(a1,f2(a1))),f2(a1))),
% 0.90/1.03 inference(scs_inference,[],[32,162,156,170,145,67,18,21,12,11])).
% 0.90/1.03 cnf(182,plain,
% 0.90/1.04 (E(f4(f3(f2(a1),f2(a1))),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[32,36,162,175,156,168,170,166,145,67,18,21,12,11,3,2,123])).
% 0.90/1.04 cnf(186,plain,
% 0.90/1.04 (E(f4(a1),f2(f4(a1)))),
% 0.90/1.04 inference(scs_inference,[],[32,36,162,175,156,168,170,166,145,67,18,21,12,11,3,2,123,53,27])).
% 0.90/1.04 cnf(188,plain,
% 0.90/1.04 (P2(f3(f4(a1),a1),a1)),
% 0.90/1.04 inference(scs_inference,[],[32,36,162,175,156,168,170,166,145,67,18,21,12,11,3,2,123,53,27,71])).
% 0.90/1.04 cnf(190,plain,
% 0.90/1.04 (~E(f2(f2(a1)),f4(f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[177,49,21])).
% 0.90/1.04 cnf(192,plain,
% 0.90/1.04 (P2(f3(f4(a1),a1),f3(f3(f4(a1),a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[177,188,49,121,21,12])).
% 0.90/1.04 cnf(196,plain,
% 0.90/1.04 (E(f3(f4(x1961),f3(f4(x1961),x1961)),x1961)),
% 0.90/1.04 inference(scs_inference,[],[66,44,177,188,49,121,145,15,21,12,11,3])).
% 0.90/1.04 cnf(201,plain,
% 0.90/1.04 (P1(f4(f3(a1,f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[66,42,44,177,188,49,121,168,145,15,21,12,11,3,2,109,29])).
% 0.90/1.04 cnf(203,plain,
% 0.90/1.04 (~P2(f3(a1,f2(a1)),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[66,42,44,125,177,188,49,121,168,145,15,21,12,11,3,2,109,29,20])).
% 0.90/1.04 cnf(205,plain,
% 0.90/1.04 (P1(f5(f3(a1,f2(a1)),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[66,42,44,125,177,188,49,121,168,145,15,21,12,11,3,2,109,29,20,25])).
% 0.90/1.04 cnf(207,plain,
% 0.90/1.04 (E(f3(x2071,x2072),f3(x2071,f3(f4(x2072),x2072)))),
% 0.90/1.04 inference(scs_inference,[],[66,42,44,125,177,188,49,121,86,168,145,15,21,12,11,3,2,109,29,20,25,7])).
% 0.90/1.04 cnf(212,plain,
% 0.90/1.04 (~P2(f3(f4(a1),a1),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[203,109])).
% 0.90/1.04 cnf(213,plain,
% 0.90/1.04 (E(f3(f4(a1),a1),f3(f3(f4(a1),a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[192,203,109,20])).
% 0.90/1.04 cnf(215,plain,
% 0.90/1.04 (P2(a1,f3(f4(a1),f3(a1,f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[34,192,203,137,109,20,21])).
% 0.90/1.04 cnf(220,plain,
% 0.90/1.04 (P2(f3(f3(f4(a1),a1),f2(a1)),a1)),
% 0.90/1.04 inference(scs_inference,[],[34,196,80,192,203,174,137,145,109,20,21,12,11])).
% 0.90/1.04 cnf(225,plain,
% 0.90/1.04 (~P1(f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[34,196,92,80,192,190,203,178,174,137,145,109,20,21,12,11,2,3,27])).
% 0.90/1.04 cnf(227,plain,
% 0.90/1.04 (~P1(f4(f3(f2(a1),f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[34,196,92,80,192,190,203,178,174,137,145,109,20,21,12,11,2,3,27,19])).
% 0.90/1.04 cnf(229,plain,
% 0.90/1.04 (~P1(f2(f3(f2(a1),f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[34,196,92,80,192,190,203,178,174,137,145,109,20,21,12,11,2,3,27,19,18])).
% 0.90/1.04 cnf(231,plain,
% 0.90/1.04 (~P2(f3(f2(a1),f2(a1)),x2311)),
% 0.90/1.04 inference(scs_inference,[],[34,196,92,80,192,190,203,178,174,137,145,109,20,21,12,11,2,3,27,19,18,23])).
% 0.90/1.04 cnf(233,plain,
% 0.90/1.04 (~P1(f3(f3(f2(a1),f2(a1)),x2331))),
% 0.90/1.04 inference(scs_inference,[],[34,196,92,80,192,190,203,178,174,137,145,109,20,21,12,11,2,3,27,19,18,23,29])).
% 0.90/1.04 cnf(235,plain,
% 0.90/1.04 (~P2(x2351,f3(f3(f2(a1),f2(a1)),x2352))),
% 0.90/1.04 inference(scs_inference,[],[233,22])).
% 0.90/1.04 cnf(237,plain,
% 0.90/1.04 (P2(f3(a1,f2(a1)),f3(f3(f4(a1),a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[233,192,22,109])).
% 0.90/1.04 cnf(238,plain,
% 0.90/1.04 (~P2(f2(a1),f3(a1,f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[233,127,192,22,109,20])).
% 0.90/1.04 cnf(240,plain,
% 0.90/1.04 (P1(f4(f3(f4(a1),a1)))),
% 0.90/1.04 inference(scs_inference,[],[233,127,192,153,22,109,20,29])).
% 0.90/1.04 cnf(242,plain,
% 0.90/1.04 (P2(f4(f3(a1,f2(a1))),f4(a1))),
% 0.90/1.04 inference(scs_inference,[],[97,201,233,127,192,153,22,109,20,29,21])).
% 0.90/1.04 cnf(245,plain,
% 0.90/1.04 (P2(a1,a1)),
% 0.90/1.04 inference(scs_inference,[],[97,201,233,127,215,162,192,153,22,109,20,29,21,12])).
% 0.90/1.04 cnf(247,plain,
% 0.90/1.04 (~E(f2(a1),f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[40,97,201,233,231,127,215,162,192,153,22,109,20,29,21,12,11])).
% 0.90/1.04 cnf(260,plain,
% 0.90/1.04 (~P2(x2601,f3(f3(f2(a1),f2(a1)),x2602))),
% 0.90/1.04 inference(rename_variables,[],[235])).
% 0.90/1.04 cnf(262,plain,
% 0.90/1.04 (~E(a1,f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[34,235,225,21,10])).
% 0.90/1.04 cnf(263,plain,
% 0.90/1.04 (~E(f4(a1),f3(f3(f2(a1),f2(a1)),x2631))),
% 0.90/1.04 inference(scs_inference,[],[34,235,260,225,242,21,10,12])).
% 0.90/1.04 cnf(265,plain,
% 0.90/1.04 (~P2(f3(f3(a1,f2(a1)),f2(a1)),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[34,93,235,260,225,242,203,21,10,12,11])).
% 0.90/1.04 cnf(266,plain,
% 0.90/1.04 (E(f3(f3(x2661,f2(x2661)),x2662),f3(x2661,x2662))),
% 0.90/1.04 inference(rename_variables,[],[93])).
% 0.90/1.04 cnf(268,plain,
% 0.90/1.04 (E(f3(f3(x2681,f2(x2681)),f2(x2681)),x2681)),
% 0.90/1.04 inference(scs_inference,[],[34,93,266,235,260,225,242,247,203,14,21,10,12,11,2,3])).
% 0.90/1.04 cnf(273,plain,
% 0.90/1.04 (E(f5(f3(x2731,f2(x2731)),x2732),f5(x2731,x2732))),
% 0.90/1.04 inference(rename_variables,[],[96])).
% 0.90/1.04 cnf(276,plain,
% 0.90/1.04 (E(f5(f3(x2761,f2(x2761)),x2762),f5(x2761,x2762))),
% 0.90/1.04 inference(rename_variables,[],[96])).
% 0.90/1.04 cnf(277,plain,
% 0.90/1.04 (~P2(f2(a1),f3(f3(a1,f2(a1)),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[268,96,273,205,145,21,10,12])).
% 0.90/1.04 cnf(278,plain,
% 0.90/1.04 (E(f3(f3(x2781,f2(x2781)),f2(x2781)),x2781)),
% 0.90/1.04 inference(rename_variables,[],[268])).
% 0.90/1.04 cnf(279,plain,
% 0.90/1.04 (P2(f5(a1,f2(a1)),f5(a1,f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[268,96,273,276,205,145,21,10,12,11])).
% 0.90/1.04 cnf(281,plain,
% 0.90/1.04 (E(x2811,f3(f3(x2811,f2(x2811)),f2(x2811)))),
% 0.90/1.04 inference(scs_inference,[],[268,278,96,273,276,205,145,21,10,12,11,2])).
% 0.90/1.04 cnf(288,plain,
% 0.90/1.04 (~P1(f3(f3(f4(f2(a1)),f2(a1)),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[186,45,225,89,21,10])).
% 0.90/1.04 cnf(292,plain,
% 0.90/1.04 (~E(f3(a1,f2(a1)),f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[151,237,186,279,45,231,225,89,21,10,12,11])).
% 0.90/1.04 cnf(295,plain,
% 0.90/1.04 (~E(f2(a1),f3(f4(a1),f3(f4(a1),a1)))),
% 0.90/1.04 inference(scs_inference,[],[36,151,237,186,279,263,196,45,231,225,89,21,10,12,11,2,3])).
% 0.90/1.04 cnf(297,plain,
% 0.90/1.04 (~P2(f4(f3(f2(a1),f2(a1))),x2971)),
% 0.90/1.04 inference(scs_inference,[],[36,151,237,227,186,279,263,196,45,231,225,89,21,10,12,11,2,3,23])).
% 0.90/1.04 cnf(303,plain,
% 0.90/1.04 (~P2(a1,f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[281,277,265,106,235,13,21,12,11])).
% 0.90/1.04 cnf(305,plain,
% 0.90/1.04 (E(f3(f3(f4(a1),a1),f2(a1)),f3(f4(a1),a1))),
% 0.90/1.04 inference(scs_inference,[],[281,213,277,265,106,235,13,21,12,11,2])).
% 0.90/1.04 cnf(306,plain,
% 0.90/1.04 (E(f3(x3061,x3062),f3(f3(x3061,x3062),f2(x3062)))),
% 0.90/1.04 inference(scs_inference,[],[281,148,213,277,265,106,80,235,13,21,12,11,2,3])).
% 0.90/1.04 cnf(308,plain,
% 0.90/1.04 (~P2(x3081,f3(f3(f4(f2(a1)),f2(a1)),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[281,148,213,288,277,265,106,80,235,13,21,12,11,2,3,22])).
% 0.90/1.04 cnf(312,plain,
% 0.90/1.04 (~P2(f3(f4(a1),a1),f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[281,148,292,213,288,277,265,106,80,235,13,21,12,11,2,3,22,20,109])).
% 0.90/1.04 cnf(313,plain,
% 0.90/1.04 (P2(f2(f3(a1,f2(a1))),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[98,104,21])).
% 0.90/1.04 cnf(318,plain,
% 0.90/1.04 (P2(f4(a1),f4(a1))),
% 0.90/1.04 inference(scs_inference,[],[238,98,78,97,242,104,21,12,11])).
% 0.90/1.04 cnf(323,plain,
% 0.90/1.04 (P2(f3(f3(f4(a1),a1),f2(a1)),f3(f4(a1),a1))),
% 0.90/1.04 inference(scs_inference,[],[305,153,21])).
% 0.90/1.04 cnf(328,plain,
% 0.90/1.04 (~E(f2(a1),f4(f3(f2(a1),f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[40,140,305,297,318,229,153,89,21,10,12,11])).
% 0.90/1.04 cnf(330,plain,
% 0.90/1.04 (E(f3(f3(x3301,x3302),f2(x3302)),f3(x3301,x3302))),
% 0.90/1.04 inference(scs_inference,[],[40,140,306,305,297,318,229,153,89,21,10,12,11,2])).
% 0.90/1.04 cnf(331,plain,
% 0.90/1.04 (~E(f4(f2(a1)),f3(f3(a1,f2(a1)),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[40,140,306,305,297,119,318,268,229,153,89,21,10,12,11,2,3])).
% 0.90/1.04 cnf(335,plain,
% 0.90/1.04 (~E(f3(f4(a1),a1),f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[312,172,21])).
% 0.90/1.04 cnf(339,plain,
% 0.90/1.04 (~P2(f3(f4(a1),f3(f4(a1),a1)),f2(a1))),
% 0.90/1.04 inference(scs_inference,[],[44,312,212,308,313,172,21,12,11])).
% 0.90/1.04 cnf(340,plain,
% 0.90/1.04 (E(f3(x3401,f3(f4(x3402),x3402)),f3(x3401,x3402))),
% 0.90/1.04 inference(rename_variables,[],[44])).
% 0.90/1.04 cnf(342,plain,
% 0.90/1.04 (~P2(f3(f3(f4(f2(a1)),f2(a1)),f2(a1)),x3421)),
% 0.90/1.04 inference(scs_inference,[],[44,312,212,308,331,313,172,288,21,12,11,2,23])).
% 0.90/1.04 cnf(344,plain,
% 0.90/1.04 (E(f3(f3(x3441,f4(x3442)),x3442),f3(x3441,x3442))),
% 0.90/1.04 inference(scs_inference,[],[44,340,312,212,308,331,313,172,288,16,21,12,11,2,23,3])).
% 0.90/1.04 cnf(355,plain,
% 0.90/1.04 (P2(f3(f3(f4(a1),a1),f2(a1)),f3(a1,f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[45,153,21])).
% 0.90/1.04 cnf(356,plain,
% 0.90/1.04 (E(f3(f3(f4(x3561),x3561),x3562),f3(x3561,x3562))),
% 0.90/1.04 inference(rename_variables,[],[45])).
% 0.90/1.04 cnf(359,plain,
% 0.90/1.04 (P2(f3(a1,f2(a1)),f3(f4(a1),a1))),
% 0.90/1.04 inference(scs_inference,[],[45,356,182,303,323,153,21,12,11])).
% 0.90/1.04 cnf(365,plain,
% 0.90/1.04 (~P2(x3651,f4(f3(f2(a1),f2(a1))))),
% 0.90/1.04 inference(scs_inference,[],[45,356,207,344,182,339,295,303,323,227,153,21,12,11,3,2,57,22])).
% 0.90/1.04 cnf(370,plain,
% 0.90/1.04 (E(f3(a1,f2(a1)),f3(f4(a1),a1))),
% 0.90/1.04 inference(scs_inference,[],[359,20])).
% 0.90/1.04 cnf(380,plain,
% 0.90/1.04 (~E(f3(f3(a1,f2(a1)),f2(a1)),f3(f2(a1),f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[359,335,342,262,245,66,92,281,215,170,20,21,12,11,2,3])).
% 0.90/1.04 cnf(390,plain,
% 0.90/1.04 (E(f2(f4(a1)),f4(a1))),
% 0.90/1.04 inference(scs_inference,[],[380,365,220,186,265,303,101,168,20,21,12,11,2])).
% 0.90/1.04 cnf(400,plain,
% 0.90/1.04 (P2(f3(f4(a1),a1),f3(a1,f2(a1)))),
% 0.90/1.04 inference(scs_inference,[],[46,240,355,330,98,303,21,12,11])).
% 0.90/1.04 cnf(411,plain,
% 0.90/1.04 ($false),
% 0.90/1.04 inference(scs_inference,[],[47,400,370,328,390,112,182,225,10,21,12,2]),
% 0.90/1.04 ['proof']).
% 0.90/1.04 % SZS output end Proof
% 0.90/1.04 % Total time :0.410000s
%------------------------------------------------------------------------------