%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT004-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 04:40:09 EDT 2024
% Result : Unsatisfiable 90.74s 91.02s
% Output : CNFRefutation 90.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : CAT004-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Jun 18 12:06:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.59/0.64 start to proof:theBenchmark
% 90.74/91.01 %-------------------------------------------
% 90.74/91.01 % File :CSE---1.7
% 90.74/91.01 % Problem :theBenchmark
% 90.74/91.01 % Transform :cnf
% 90.74/91.01 % Format :tptp:raw
% 90.74/91.01 % Command :java -jar mcs_scs.jar %d %s
% 90.74/91.01
% 90.74/91.01 % Result :Theorem 90.100000s
% 90.74/91.01 % Output :CNFRefutation 90.100000s
% 90.74/91.01 %-------------------------------------------
% 90.74/91.02 %--------------------------------------------------------------------------
% 90.74/91.02 % File : CAT004-1 : TPTP v8.2.0. Released v1.0.0.
% 90.74/91.02 % Domain : Category Theory
% 90.74/91.02 % Problem : X and Y epimorphisms, XY well-defined => XY epimorphism
% 90.74/91.02 % Version : [Mit67] axioms.
% 90.74/91.02 % English : If x and y are epimorphisms and xy is well-defined, then
% 90.74/91.02 % xy is an epimorphism.
% 90.74/91.02
% 90.74/91.02 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 90.74/91.02 % Source : [ANL]
% 90.74/91.02 % Names : C4 [MOW76]
% 90.74/91.02 % : p4.ver1.in [ANL]
% 90.74/91.02
% 90.74/91.02 % Status : Unsatisfiable
% 90.74/91.02 % Rating : 0.00 v7.5.0, 0.10 v7.4.0, 0.11 v7.3.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.31 v5.4.0, 0.20 v5.3.0, 0.25 v5.1.0, 0.14 v4.1.0, 0.00 v4.0.0, 0.17 v3.5.0, 0.00 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.17 v2.2.1, 0.56 v2.2.0, 0.57 v2.1.0, 0.40 v2.0.0
% 90.74/91.02 % Syntax : Number of clauses : 24 ( 10 unt; 0 nHn; 18 RR)
% 90.74/91.02 % Number of literals : 55 ( 4 equ; 32 neg)
% 90.74/91.02 % Maximal clause size : 4 ( 2 avg)
% 90.74/91.02 % Maximal term depth : 2 ( 1 avg)
% 90.74/91.02 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 90.74/91.02 % Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% 90.74/91.02 % Number of variables : 58 ( 5 sgn)
% 90.74/91.02 % SPC : CNF_UNS_RFO_SEQ_HRN
% 90.74/91.02
% 90.74/91.02 % Comments :
% 90.74/91.02 %--------------------------------------------------------------------------
% 90.74/91.02 %----Include Mitchell's axioms for category theory
% 90.74/91.02 include('Axioms/CAT001-0.ax').
% 90.74/91.02 %--------------------------------------------------------------------------
% 90.74/91.02 cnf(cancellation_for_product1,hypothesis,
% 90.74/91.02 ( ~ product(X,a,W)
% 90.74/91.02 | ~ product(Y,a,W)
% 90.74/91.02 | X = Y ) ).
% 90.74/91.02
% 90.74/91.02 cnf(cancellation_for_product2,hypothesis,
% 90.74/91.02 ( ~ product(X,b,W)
% 90.74/91.02 | ~ product(Y,b,W)
% 90.74/91.02 | X = Y ) ).
% 90.74/91.02
% 90.74/91.02 cnf(ab_equals_c,hypothesis,
% 90.74/91.02 product(a,b,c) ).
% 90.74/91.02
% 90.74/91.02 cnf(hc_equals_d,hypothesis,
% 90.74/91.02 product(h,c,d) ).
% 90.74/91.02
% 90.74/91.02 cnf(gc_equals_d,hypothesis,
% 90.74/91.02 product(g,c,d) ).
% 90.74/91.02
% 90.74/91.02 cnf(prove_h_equals_g,negated_conjecture,
% 90.74/91.02 h != g ).
% 90.74/91.02
% 90.74/91.02 %--------------------------------------------------------------------------
% 90.74/91.02 %-------------------------------------------
% 90.74/91.02 % Proof found
% 90.74/91.02 % SZS status Theorem for theBenchmark
% 90.74/91.02 % SZS output start Proof
% 90.74/91.02 %ClaNum:37(EqnAxiom:13)
% 90.74/91.03 %VarNum:120(SingletonVarNum:58)
% 90.74/91.03 %MaxLitNum:4
% 90.74/91.03 %MaxfuncDepth:1
% 90.74/91.03 %SharedTerms:10
% 90.74/91.03 %goalClause: 23
% 90.74/91.03 %singleGoalClaCount:1
% 90.74/91.03 [18]P3(a3,a4,a5)
% 90.74/91.03 [19]P3(a8,a5,a6)
% 90.74/91.03 [20]P3(a9,a5,a6)
% 90.74/91.03 [23]~E(a9,a8)
% 90.74/91.03 [14]P1(f1(x141))
% 90.74/91.03 [15]P1(f2(x151))
% 90.74/91.03 [16]P2(x161,f1(x161))
% 90.74/91.03 [17]P2(f2(x171),x171)
% 90.74/91.03 [21]P3(x211,f1(x211),x211)
% 90.74/91.03 [22]P3(f2(x221),x221,x221)
% 90.74/91.03 [28]~P2(x281,x282)+P3(x281,x282,f7(x281,x282))
% 90.74/91.03 [27]P2(x271,x272)+~P3(x271,x272,x273)
% 90.74/91.03 [25]~P1(x251)+~P2(x251,x252)+P3(x251,x252,x252)
% 90.74/91.03 [26]~P1(x262)+~P2(x261,x262)+P3(x261,x262,x261)
% 90.74/91.03 [31]E(x311,x312)+~P3(x311,a3,x313)+~P3(x312,a3,x313)
% 90.74/91.03 [32]E(x321,x322)+~P3(x321,a4,x323)+~P3(x322,a4,x323)
% 90.74/91.03 [29]P2(x291,x292)+~P3(x292,x294,x293)+~P2(x291,x293)
% 90.74/91.03 [30]P2(x301,x302)+~P3(x304,x301,x303)+~P2(x303,x302)
% 90.74/91.03 [33]~P3(x333,x334,x331)+E(x331,x332)+~P3(x333,x334,x332)
% 90.74/91.03 [24]~P2(x243,x242)+~P2(x241,x243)+P2(x241,x242)+~P1(x243)
% 90.74/91.03 [34]~P3(x345,x342,x344)+P2(x341,x342)+~P3(x343,x345,x341)+~P2(x343,x344)
% 90.74/91.03 [35]~P3(x351,x355,x353)+P2(x351,x352)+~P3(x355,x354,x352)+~P2(x353,x354)
% 90.74/91.03 [36]~P3(x366,x362,x365)+P3(x361,x362,x363)+~P3(x364,x365,x363)+~P3(x364,x366,x361)
% 90.74/91.03 [37]~P3(x371,x376,x374)+P3(x371,x372,x373)+~P3(x374,x375,x373)+~P3(x376,x375,x372)
% 90.74/91.03 %EqnAxiom
% 90.74/91.03 [1]E(x11,x11)
% 90.74/91.03 [2]E(x22,x21)+~E(x21,x22)
% 90.74/91.03 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 90.74/91.03 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 90.74/91.03 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 90.74/91.03 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 90.74/91.03 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 90.74/91.03 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 90.74/91.03 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 90.74/91.03 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 90.74/91.03 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 90.74/91.03 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 90.74/91.03 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 90.74/91.03
% 90.74/91.03 %-------------------------------------------
% 90.82/91.04 cnf(38,plain,
% 90.82/91.04 (P2(f1(x381),f1(x381))),
% 90.82/91.04 inference(scs_inference,[],[21,16,30])).
% 90.82/91.04 cnf(41,plain,
% 90.82/91.04 (P3(a5,f1(a4),a5)),
% 90.82/91.04 inference(scs_inference,[],[21,16,18,30,36])).
% 90.82/91.04 cnf(44,plain,
% 90.82/91.04 (P3(f2(a3),a5,a5)),
% 90.82/91.04 inference(scs_inference,[],[21,22,16,18,30,36,37])).
% 90.82/91.04 cnf(56,plain,
% 90.82/91.04 (P3(f2(x561),x561,x561)),
% 90.82/91.04 inference(rename_variables,[],[22])).
% 90.82/91.04 cnf(58,plain,
% 90.82/91.04 (P2(f1(a4),f1(a5))),
% 90.82/91.04 inference(scs_inference,[],[38,41,22,16,29,30])).
% 90.82/91.04 cnf(61,plain,
% 90.82/91.04 (P2(a5,f1(a4))),
% 90.82/91.04 inference(scs_inference,[],[17,38,41,22,56,16,29,30,34])).
% 90.82/91.04 cnf(63,plain,
% 90.82/91.04 (P3(f2(x631),x631,x631)),
% 90.82/91.04 inference(rename_variables,[],[22])).
% 90.82/91.04 cnf(65,plain,
% 90.82/91.04 (P3(f2(f2(a3)),a5,a5)),
% 90.82/91.04 inference(scs_inference,[],[17,38,41,44,22,56,63,16,29,30,34,37])).
% 90.82/91.04 cnf(68,plain,
% 90.82/91.04 (P3(a5,f1(f1(a4)),a5)),
% 90.82/91.04 inference(scs_inference,[],[17,38,41,44,22,56,63,16,21,29,30,34,37,36])).
% 90.82/91.04 cnf(87,plain,
% 90.82/91.04 (P3(a6,f1(f1(a4)),a6)),
% 90.82/91.04 inference(scs_inference,[],[17,61,65,68,19,41,29,35,36])).
% 90.82/91.04 cnf(89,plain,
% 90.82/91.04 (P3(f2(a8),a6,a6)),
% 90.82/91.04 inference(scs_inference,[],[17,61,65,68,19,22,41,29,35,36,37])).
% 90.82/91.04 cnf(108,plain,
% 90.82/91.04 (P2(a6,f1(f1(a4)))),
% 90.82/91.04 inference(scs_inference,[],[17,87,21,22,30,34])).
% 90.82/91.04 cnf(132,plain,
% 90.82/91.04 (P3(x1321,f1(x1321),x1321)),
% 90.82/91.04 inference(rename_variables,[],[21])).
% 90.82/91.04 cnf(134,plain,
% 90.82/91.04 (P2(a5,f1(f1(a4)))),
% 90.82/91.04 inference(scs_inference,[],[38,61,17,20,41,21,132,29,30,34])).
% 90.82/91.04 cnf(139,plain,
% 90.82/91.04 (P2(f2(a3),a5)),
% 90.82/91.04 inference(scs_inference,[],[38,61,17,20,44,41,21,132,29,30,34,36,35])).
% 90.82/91.04 cnf(154,plain,
% 90.82/91.04 (P3(x1541,f1(x1541),x1541)),
% 90.82/91.04 inference(rename_variables,[],[21])).
% 90.82/91.04 cnf(156,plain,
% 90.82/91.04 (P2(f2(a8),a6)),
% 90.82/91.04 inference(scs_inference,[],[58,16,17,89,21,154,29,30,35])).
% 90.82/91.04 cnf(174,plain,
% 90.82/91.04 (P2(f1(f2(a3)),a5)),
% 90.82/91.04 inference(scs_inference,[],[17,44,139,21,29,30])).
% 90.82/91.04 cnf(177,plain,
% 90.82/91.04 (P2(a8,a5)),
% 90.82/91.04 inference(scs_inference,[],[17,44,19,139,156,21,22,29,30,34])).
% 90.82/91.04 cnf(202,plain,
% 90.82/91.04 (P2(a3,a4)),
% 90.82/91.04 inference(scs_inference,[],[18,16,17,139,22,29,30,34])).
% 90.82/91.04 cnf(218,plain,
% 90.82/91.04 (P2(a5,f1(a6))),
% 90.82/91.04 inference(scs_inference,[],[19,16,30])).
% 90.82/91.04 cnf(233,plain,
% 90.82/91.04 (P2(f2(a8),f2(a8))),
% 90.82/91.04 inference(scs_inference,[],[89,156,29])).
% 90.82/91.04 cnf(235,plain,
% 90.82/91.04 (P2(f1(a3),a4)),
% 90.82/91.04 inference(scs_inference,[],[89,202,156,21,29,30])).
% 90.82/91.04 cnf(253,plain,
% 90.82/91.04 (P3(f2(x2531),x2531,x2531)),
% 90.82/91.04 inference(rename_variables,[],[22])).
% 90.82/91.04 cnf(255,plain,
% 90.82/91.04 (P2(f2(f2(a8)),a6)),
% 90.82/91.04 inference(scs_inference,[],[61,89,22,253,156,29,35])).
% 90.82/91.04 cnf(281,plain,
% 90.82/91.04 (P2(a8,f2(a3))),
% 90.82/91.04 inference(scs_inference,[],[44,156,177,21,30,29])).
% 90.82/91.04 cnf(314,plain,
% 90.82/91.04 (P2(f1(a8),a5)),
% 90.82/91.04 inference(scs_inference,[],[177,21,30])).
% 90.82/91.04 cnf(346,plain,
% 90.82/91.04 (~P3(f2(a8),a8,a9)),
% 90.82/91.04 inference(scs_inference,[],[23,22,33])).
% 90.82/91.04 cnf(361,plain,
% 90.82/91.04 (P3(x3611,f1(x3611),x3611)),
% 90.82/91.04 inference(rename_variables,[],[21])).
% 90.82/91.05 cnf(364,plain,
% 90.82/91.05 (P3(x3641,f1(x3641),x3641)),
% 90.82/91.05 inference(rename_variables,[],[21])).
% 90.82/91.05 cnf(368,plain,
% 90.82/91.05 (~E(a8,a9)),
% 90.82/91.05 inference(scs_inference,[],[23,44,21,361,364,233,174,33,30,29,11])).
% 90.82/91.05 cnf(480,plain,
% 90.82/91.05 (P2(a5,f2(f1(a6)))),
% 90.82/91.05 inference(scs_inference,[],[22,218,29])).
% 90.82/91.05 cnf(1318,plain,
% 90.82/91.05 (P2(a8,a3)),
% 90.82/91.05 inference(scs_inference,[],[18,134,177,30,29])).
% 90.82/91.05 cnf(1329,plain,
% 90.82/91.05 (P2(a4,f1(a6))),
% 90.82/91.05 inference(scs_inference,[],[18,218,30])).
% 90.82/91.05 cnf(1345,plain,
% 90.82/91.05 (P2(f1(a8),a3)),
% 90.82/91.05 inference(scs_inference,[],[18,314,480,30,29])).
% 90.82/91.05 cnf(1356,plain,
% 90.82/91.05 (P2(f1(a4),f1(a6))),
% 90.82/91.05 inference(scs_inference,[],[21,1329,30])).
% 90.82/91.05 cnf(1514,plain,
% 90.82/91.05 (P2(a4,f1(a3))+~P3(f1(a8),a3,a5)),
% 90.82/91.05 inference(scs_inference,[],[18,21,1345,34,30])).
% 90.82/91.05 cnf(1888,plain,
% 90.82/91.05 (P2(f2(a8),a9)),
% 90.82/91.05 inference(scs_inference,[],[20,156,29])).
% 90.82/91.05 cnf(1890,plain,
% 90.82/91.05 (P2(a9,a5)),
% 90.82/91.05 inference(scs_inference,[],[20,68,156,108,29,35])).
% 90.82/91.05 cnf(1910,plain,
% 90.82/91.05 (P2(f2(a9),a6)),
% 90.82/91.05 inference(scs_inference,[],[20,22,255,1890,29,35])).
% 90.82/91.05 cnf(1919,plain,
% 90.82/91.05 (P2(f1(a9),a5)),
% 90.82/91.05 inference(scs_inference,[],[21,1890,30])).
% 90.82/91.05 cnf(2521,plain,
% 90.82/91.05 (P3(x25211,f1(x25211),x25211)),
% 90.82/91.05 inference(rename_variables,[],[21])).
% 90.82/91.05 cnf(2524,plain,
% 90.82/91.05 (P3(x25241,f1(x25241),x25241)),
% 90.82/91.05 inference(rename_variables,[],[21])).
% 90.82/91.05 cnf(2526,plain,
% 90.82/91.05 (P2(a6,f1(a5))),
% 90.82/91.05 inference(scs_inference,[],[21,2521,2524,20,19,61,177,30,36,34])).
% 90.82/91.05 cnf(2541,plain,
% 90.82/91.05 (P2(f1(a5),f1(a6))),
% 90.82/91.05 inference(scs_inference,[],[21,218,30])).
% 90.82/91.05 cnf(2614,plain,
% 90.82/91.05 (P2(f1(a6),f1(a5))),
% 90.82/91.05 inference(scs_inference,[],[21,2526,30])).
% 90.82/91.05 cnf(2962,plain,
% 90.82/91.05 (P2(a8,f2(a5))),
% 90.82/91.05 inference(scs_inference,[],[22,177,29])).
% 90.82/91.05 cnf(2980,plain,
% 90.82/91.05 (P2(f2(a8),f2(a6))),
% 90.82/91.05 inference(scs_inference,[],[22,156,29])).
% 90.82/91.05 cnf(2994,plain,
% 90.82/91.05 (P2(f2(a3),f2(a5))),
% 90.82/91.05 inference(scs_inference,[],[22,139,29])).
% 90.82/91.05 cnf(3109,plain,
% 90.82/91.05 (P2(a9,f2(a5))),
% 90.82/91.05 inference(scs_inference,[],[22,1890,29])).
% 90.82/91.05 cnf(3137,plain,
% 90.82/91.05 (P2(f1(a9),f2(a5))),
% 90.82/91.05 inference(scs_inference,[],[22,1919,29])).
% 90.82/91.05 cnf(3434,plain,
% 90.82/91.05 (P2(f2(a9),f2(a8))),
% 90.82/91.05 inference(scs_inference,[],[89,1910,29])).
% 90.82/91.05 cnf(3587,plain,
% 90.82/91.05 (P2(a6,f1(a4))),
% 90.82/91.05 inference(scs_inference,[],[41,19,177,34])).
% 90.82/91.05 cnf(4164,plain,
% 90.82/91.05 (~P3(f1(a8),a3,x41641)+~E(x41641,a5)+P2(a4,f1(a3))),
% 90.82/91.05 inference(scs_inference,[],[1514,11])).
% 90.82/91.05 cnf(4857,plain,
% 90.82/91.05 (P3(a8,a3,f7(a8,a3))),
% 90.82/91.05 inference(scs_inference,[],[1318,28])).
% 90.82/91.05 cnf(4859,plain,
% 90.82/91.05 (P3(f2(a9),f2(a8),f2(a9))),
% 90.82/91.05 inference(scs_inference,[],[15,3434,1318,28,26])).
% 90.82/91.05 cnf(4862,plain,
% 90.82/91.05 (~P3(a9,a3,f7(a8,a3))),
% 90.82/91.05 inference(scs_inference,[],[368,15,3434,1318,28,26,31])).
% 90.82/91.05 cnf(4864,plain,
% 90.82/91.05 (P3(f1(a8),a3,a3)),
% 90.82/91.05 inference(scs_inference,[],[14,368,15,3434,1318,1345,28,26,31,25])).
% 90.82/91.05 cnf(4867,plain,
% 90.82/91.05 (P3(f1(a8),a5,a5)),
% 90.82/91.05 inference(scs_inference,[],[14,368,15,3434,1318,1345,18,28,26,31,25,37])).
% 90.82/91.05 cnf(4869,plain,
% 90.82/91.05 (P3(f7(a8,a3),a4,a6)),
% 90.82/91.05 inference(scs_inference,[],[14,368,15,3434,1318,1345,19,18,28,26,31,25,37,36])).
% 90.82/91.05 cnf(4872,plain,
% 90.82/91.05 (P3(x48721,f1(x48721),x48721)),
% 90.82/91.05 inference(rename_variables,[],[21])).
% 90.82/91.05 cnf(4874,plain,
% 90.82/91.05 (P2(f1(a6),f1(a4))),
% 90.82/91.05 inference(scs_inference,[],[14,368,15,3587,3434,1318,1345,19,18,21,4872,28,26,31,25,37,36,35,30])).
% 90.82/91.05 cnf(4877,plain,
% 90.82/91.05 (P2(f2(a9),a8)),
% 90.82/91.05 inference(scs_inference,[],[14,368,15,3587,3434,1318,1345,1910,19,18,21,4872,28,26,31,25,37,36,35,30,29])).
% 90.82/91.05 cnf(4883,plain,
% 90.82/91.05 (P3(a9,a5,f7(a9,a5))),
% 90.82/91.05 inference(scs_inference,[],[1890,28])).
% 90.82/91.05 cnf(4886,plain,
% 90.82/91.05 (P1(f1(x48861))),
% 90.82/91.05 inference(rename_variables,[],[14])).
% 90.82/91.05 cnf(4893,plain,
% 90.82/91.05 (P2(f2(a8),f7(a8,a3))),
% 90.82/91.05 inference(scs_inference,[],[4874,4862,4857,4864,14,4886,1318,1890,22,28,25,26,37,35])).
% 90.82/91.05 cnf(4901,plain,
% 90.82/91.05 (P3(a8,a5,f7(a8,a5))),
% 90.82/91.05 inference(scs_inference,[],[177,28])).
% 90.82/91.05 cnf(4903,plain,
% 90.82/91.05 (P3(a8,f2(a5),a8)),
% 90.82/91.05 inference(scs_inference,[],[15,2962,177,28,26])).
% 90.82/91.05 cnf(4904,plain,
% 90.82/91.05 (P1(f2(x49041))),
% 90.82/91.05 inference(rename_variables,[],[15])).
% 90.82/91.05 cnf(4907,plain,
% 90.82/91.05 (P1(f2(x49071))),
% 90.82/91.05 inference(rename_variables,[],[15])).
% 90.82/91.05 cnf(4911,plain,
% 90.82/91.05 (P2(f2(a9),f7(a8,a3))),
% 90.82/91.05 inference(scs_inference,[],[4893,368,15,4904,4907,3434,2962,177,28,26,25,33,24])).
% 90.82/91.05 cnf(4914,plain,
% 90.82/91.05 (P2(f7(a9,a5),f1(a5))),
% 90.82/91.05 inference(scs_inference,[],[4893,4883,368,15,4904,4907,3434,2962,1890,177,21,28,26,25,33,24,34])).
% 90.82/91.05 cnf(4923,plain,
% 90.82/91.05 (P3(a3,a4,f7(a3,a4))),
% 90.82/91.05 inference(scs_inference,[],[202,28])).
% 90.82/91.05 cnf(4944,plain,
% 90.82/91.05 (P3(f2(a9),a8,a8)),
% 90.82/91.05 inference(scs_inference,[],[4877,15,25])).
% 90.82/91.05 cnf(4951,plain,
% 90.82/91.05 (P2(f1(a8),f7(a3,a4))),
% 90.82/91.05 inference(scs_inference,[],[4877,4923,368,4864,15,25,33,37,27])).
% 90.82/91.05 cnf(4960,plain,
% 90.82/91.05 (P3(f2(a8),a9,a9)),
% 90.82/91.05 inference(scs_inference,[],[1888,15,25])).
% 90.82/91.05 cnf(4966,plain,
% 90.82/91.05 (P2(f7(a3,a4),f1(a4))),
% 90.82/91.05 inference(scs_inference,[],[4923,1888,15,21,25,36,27])).
% 90.82/91.05 cnf(4970,plain,
% 90.82/91.05 (P2(f2(a3),f1(a8))),
% 90.82/91.05 inference(scs_inference,[],[4867,4923,4864,1888,15,139,21,25,36,27,4164,29])).
% 90.82/91.05 cnf(4980,plain,
% 90.82/91.05 (P2(f2(a3),f7(a3,a4))),
% 90.82/91.05 inference(scs_inference,[],[23,4951,4970,4960,14,15,25,33,24])).
% 90.82/91.05 cnf(4985,plain,
% 90.82/91.05 (P3(f7(a8,a3),a4,f7(a8,a5))),
% 90.82/91.05 inference(scs_inference,[],[23,4951,4970,4960,4944,4901,4857,14,15,18,25,33,24,37,36])).
% 90.82/91.05 cnf(4996,plain,
% 90.82/91.05 (P2(a8,f7(a3,a4))),
% 90.82/91.05 inference(scs_inference,[],[4980,281,15,24])).
% 90.82/91.05 cnf(5009,plain,
% 90.82/91.05 (P2(f7(a3,a4),f1(a6))),
% 90.82/91.05 inference(scs_inference,[],[4966,14,1356,24])).
% 90.82/91.05 cnf(5015,plain,
% 90.82/91.05 (P2(f2(a8),f7(a9,a5))),
% 90.82/91.05 inference(scs_inference,[],[4966,4985,4960,4883,14,1356,1890,21,24,36,35])).
% 90.82/91.05 cnf(5019,plain,
% 90.82/91.05 (P2(f2(a5),f7(a3,a4))),
% 90.82/91.05 inference(scs_inference,[],[4966,4996,4985,4960,4903,4883,14,1356,1890,21,24,36,35,27,30])).
% 90.82/91.05 cnf(5098,plain,
% 90.82/91.05 (P3(f2(a8),f2(a6),f2(a8))),
% 90.82/91.05 inference(scs_inference,[],[2980,15,26])).
% 90.82/91.05 cnf(5099,plain,
% 90.82/91.05 (P1(f2(x50991))),
% 90.82/91.05 inference(rename_variables,[],[15])).
% 90.82/91.05 cnf(5104,plain,
% 90.82/91.05 (P2(f2(a6),f7(a9,a5))),
% 90.82/91.05 inference(scs_inference,[],[5015,2980,15,5099,26,25,30])).
% 90.82/91.05 cnf(5115,plain,
% 90.82/91.05 (P1(f2(x51151))),
% 90.82/91.05 inference(rename_variables,[],[15])).
% 90.82/91.05 cnf(5122,plain,
% 90.82/91.05 (P3(f2(a9),f2(a6),f2(a9))),
% 90.82/91.05 inference(scs_inference,[],[5104,5098,4859,4960,3137,15,5115,346,25,26,37,36])).
% 90.82/91.05 cnf(5134,plain,
% 90.82/91.05 (P2(f7(a9,a5),f1(a6))),
% 90.82/91.05 inference(scs_inference,[],[4914,3434,2541,14,15,25,24])).
% 90.82/91.05 cnf(5146,plain,
% 90.82/91.05 (P1(f1(x51461))),
% 90.82/91.05 inference(rename_variables,[],[14])).
% 90.82/91.05 cnf(5148,plain,
% 90.82/91.05 (P2(f7(a9,a5),f1(a4))),
% 90.82/91.05 inference(scs_inference,[],[5134,4874,14,5146,26,24])).
% 90.82/91.05 cnf(5157,plain,
% 90.82/91.05 (P1(f1(x51571))),
% 90.82/91.06 inference(rename_variables,[],[14])).
% 90.82/91.06 cnf(5159,plain,
% 90.82/91.06 (P2(f7(a3,a4),f1(a5))),
% 90.82/91.06 inference(scs_inference,[],[5148,5009,2614,14,5157,26,24])).
% 90.82/91.06 cnf(5177,plain,
% 90.82/91.06 (P2(f2(a6),f7(a8,a3))),
% 90.82/91.06 inference(scs_inference,[],[5159,5122,4911,14,26,30])).
% 90.82/91.06 cnf(5186,plain,
% 90.82/91.06 (P1(f2(x51861))),
% 90.82/91.06 inference(rename_variables,[],[15])).
% 90.82/91.06 cnf(5191,plain,
% 90.82/91.06 (~P3(a9,f2(a5),a8)),
% 90.82/91.06 inference(scs_inference,[],[23,5177,3109,15,5186,26,25,33])).
% 90.82/91.06 cnf(5220,plain,
% 90.82/91.06 (P3(f2(a3),f2(a5),f2(a5))),
% 90.82/91.06 inference(scs_inference,[],[2994,15,25])).
% 90.82/91.06 cnf(5233,plain,
% 90.82/91.06 (~P3(a9,f2(a3),a8)),
% 90.82/91.06 inference(scs_inference,[],[5220,5191,4903,37])).
% 90.82/91.06 cnf(5259,plain,
% 90.82/91.06 (~P3(f7(a8,a3),f2(a3),a8)+~P3(a9,a3,x52591)+~P3(f7(a8,a3),a3,x52591)),
% 90.82/91.06 inference(scs_inference,[],[5233,4869,9,2,32,31])).
% 90.82/91.06 cnf(5345,plain,
% 90.82/91.06 (P1(f2(x53451))),
% 90.82/91.06 inference(rename_variables,[],[15])).
% 90.82/91.06 cnf(5347,plain,
% 90.82/91.06 (P2(f1(a9),f7(a3,a4))),
% 90.82/91.06 inference(scs_inference,[],[5019,281,3137,15,5345,26,24])).
% 90.82/91.06 cnf(5429,plain,
% 90.82/91.06 (P2(f1(a9),a3)),
% 90.82/91.06 inference(scs_inference,[],[5347,4923,29])).
% 90.82/91.06 cnf(5446,plain,
% 90.82/91.06 (P1(f1(x54461))),
% 90.82/91.06 inference(rename_variables,[],[14])).
% 90.82/91.06 cnf(5452,plain,
% 90.82/91.06 (P3(a9,a3,f7(a9,a3))),
% 90.82/91.06 inference(scs_inference,[],[5429,14,5446,16,25,24,28])).
% 90.82/91.06 cnf(5454,plain,
% 90.82/91.06 (~P3(a8,a3,f7(a9,a3))),
% 90.82/91.06 inference(scs_inference,[],[23,5429,14,5446,16,25,24,28,31])).
% 90.82/91.06 cnf(5473,plain,
% 90.82/91.06 (~P3(f7(a9,a3),a4,a6)),
% 90.82/91.06 inference(scs_inference,[],[5454,5452,4869,235,4857,14,25,11,2,5259,32])).
% 90.82/91.06 cnf(6367,plain,
% 90.82/91.06 ($false),
% 90.82/91.06 inference(scs_inference,[],[20,5473,5452,18,36]),
% 90.82/91.06 ['proof']).
% 90.82/91.06 % SZS output end Proof
% 90.82/91.06 % Total time :90.100000s
%------------------------------------------------------------------------------