%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT002-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 04:40:08 EDT 2024
% Result : Unsatisfiable 58.79s 58.84s
% Output : CNFRefutation 58.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT002-3 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jun 18 12:23:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 58.79/58.82 %-------------------------------------------
% 58.79/58.82 % File :CSE---1.7
% 58.79/58.82 % Problem :theBenchmark
% 58.79/58.82 % Transform :cnf
% 58.79/58.82 % Format :tptp:raw
% 58.79/58.82 % Command :java -jar mcs_scs.jar %d %s
% 58.79/58.82
% 58.79/58.82 % Result :Theorem 58.250000s
% 58.79/58.82 % Output :CNFRefutation 58.250000s
% 58.79/58.82 %-------------------------------------------
% 58.79/58.83 %--------------------------------------------------------------------------
% 58.79/58.83 % File : CAT002-3 : TPTP v8.2.0. Released v1.0.0.
% 58.79/58.83 % Domain : Category Theory
% 58.79/58.83 % Problem : X and Y monomorphisms, XY well-defined => XY monomorphism
% 58.79/58.83 % Version : [Sco79] axioms : Reduced > Complete.
% 58.79/58.83 % English : If x and y are monomorphisms and xy is well-defined then
% 58.79/58.83 % xy is a monomorphism.
% 58.79/58.83
% 58.79/58.83 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 58.79/58.83 % Source : [ANL]
% 58.79/58.83 % Names : p2.ver3.in [ANL]
% 58.79/58.83
% 58.79/58.83 % Status : Unsatisfiable
% 58.79/58.83 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.18 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.11 v2.2.1, 0.44 v2.2.0, 0.22 v2.1.0, 0.44 v2.0.0
% 58.79/58.83 % Syntax : Number of clauses : 23 ( 7 unt; 2 nHn; 18 RR)
% 58.79/58.83 % Number of literals : 47 ( 23 equ; 22 neg)
% 58.79/58.83 % Maximal clause size : 4 ( 2 avg)
% 58.79/58.83 % Maximal term depth : 3 ( 1 avg)
% 58.79/58.83 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 58.79/58.83 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 58.79/58.83 % Number of variables : 37 ( 4 sgn)
% 58.79/58.83 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.79/58.83
% 58.79/58.83 % Comments : Axioms simplified by Art Quaife.
% 58.79/58.83 %--------------------------------------------------------------------------
% 58.79/58.83 %----Include Scott's axioms for category theory
% 58.79/58.83 include('Axioms/CAT003-0.ax').
% 58.79/58.83 %--------------------------------------------------------------------------
% 58.79/58.83 cnf(assume_ab_exists,hypothesis,
% 58.79/58.83 there_exists(compose(a,b)) ).
% 58.79/58.83
% 58.79/58.83 cnf(cancellation_for_compose1,hypothesis,
% 58.79/58.83 ( compose(a,X) != Y
% 58.79/58.83 | compose(a,Z) != Y
% 58.79/58.83 | X = Z ) ).
% 58.79/58.83
% 58.79/58.83 cnf(cancellation_for_compose2,hypothesis,
% 58.79/58.83 ( compose(b,X) != Y
% 58.79/58.83 | compose(b,Z) != Y
% 58.79/58.83 | X = Z ) ).
% 58.79/58.83
% 58.79/58.83 cnf(assume_h_exists,hypothesis,
% 58.79/58.83 there_exists(h) ).
% 58.79/58.83
% 58.79/58.83 cnf(ab_h_equals_ab_g,hypothesis,
% 58.79/58.83 compose(compose(a,b),h) = compose(compose(a,b),g) ).
% 58.79/58.84
% 58.79/58.84 cnf(prove_g_equals_h,negated_conjecture,
% 58.79/58.84 g != h ).
% 58.79/58.84
% 58.79/58.84 %--------------------------------------------------------------------------
% 58.79/58.84 %-------------------------------------------
% 58.79/58.84 % Proof found
% 58.79/58.84 % SZS status Theorem for theBenchmark
% 58.79/58.84 % SZS output start Proof
% 58.79/58.84 %ClaNum:34(EqnAxiom:12)
% 58.79/58.84 %VarNum:70(SingletonVarNum:33)
% 58.79/58.84 %MaxLitNum:3
% 58.79/58.84 %MaxfuncDepth:2
% 58.79/58.84 %SharedTerms:11
% 58.79/58.84 %goalClause: 19
% 58.79/58.84 %singleGoalClaCount:1
% 58.79/58.84 [13]P1(a1)
% 58.79/58.84 [19]~E(a1,a7)
% 58.79/58.84 [16]P1(f3(a5,a6))
% 58.79/58.84 [17]E(f3(f3(a5,a6),a1),f3(f3(a5,a6),a7))
% 58.79/58.84 [14]E(f3(x141,f2(x141)),x141)
% 58.79/58.84 [15]E(f3(f4(x151),x151),x151)
% 58.79/58.84 [18]E(f3(f3(x181,x182),x183),f3(x181,f3(x182,x183)))
% 58.79/58.84 [20]P1(x201)+~P1(f2(x201))
% 58.79/58.84 [21]P1(x211)+~P1(f4(x211))
% 58.79/58.84 [22]~P2(x221,x222)+E(x221,x222)
% 58.79/58.84 [24]P1(x241)+~P2(x242,x241)
% 58.79/58.84 [25]P1(x251)+~P2(x251,x252)
% 58.79/58.84 [27]E(x271,x272)+P1(f8(x271,x272))
% 58.79/58.84 [31]E(f4(x311),f2(x312))+~P1(f3(x312,x311))
% 58.79/58.84 [32]P1(f2(x321))+~P1(f3(x321,x322))
% 58.79/58.84 [33]P1(f4(x331))+~P1(f3(x331,x332))
% 58.79/58.84 [23]~E(x231,x232)+~P1(x231)+P2(x231,x232)
% 58.79/58.84 [28]E(x281,x282)+E(f8(x281,x282),x282)+E(f8(x281,x282),x281)
% 58.79/58.84 [34]~E(f4(x342),f2(x341))+~P1(f2(x341))+P1(f3(x341,x342))
% 58.79/58.84 [29]E(x291,x292)+~E(f3(a5,x291),x293)+~E(f3(a5,x292),x293)
% 58.79/58.84 [30]E(x301,x302)+~E(f3(a6,x301),x303)+~E(f3(a6,x302),x303)
% 58.79/58.84 %EqnAxiom
% 58.79/58.84 [1]E(x11,x11)
% 58.79/58.84 [2]E(x22,x21)+~E(x21,x22)
% 58.79/58.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.79/58.84 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 58.79/58.84 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 58.79/58.84 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 58.79/58.84 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 58.79/58.84 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83))
% 58.79/58.84 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92))
% 58.79/58.84 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 58.79/58.84 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 58.79/58.84 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 58.79/58.84
% 58.79/58.84 %-------------------------------------------
% 58.79/58.85 cnf(35,plain,
% 58.79/58.85 (~P1(x351)+P2(x351,x351)),
% 58.79/58.85 inference(equality_inference,[],[23])).
% 58.79/58.85 cnf(36,plain,
% 58.79/58.85 (~P2(a1,a7)),
% 58.79/58.85 inference(scs_inference,[],[19,22])).
% 58.79/58.85 cnf(38,plain,
% 58.79/58.85 (E(x381,f3(x381,f2(x381)))),
% 58.79/58.85 inference(scs_inference,[],[19,14,22,2])).
% 58.79/58.85 cnf(39,plain,
% 58.79/58.85 (E(f4(a6),f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[19,14,16,22,2,31])).
% 58.79/58.85 cnf(41,plain,
% 58.79/58.85 (P2(f3(a5,a6),f3(f3(a5,a6),f2(f3(a5,a6))))),
% 58.79/58.85 inference(scs_inference,[],[19,14,16,22,2,31,23])).
% 58.79/58.85 cnf(43,plain,
% 58.79/58.85 (~E(a1,f3(f4(a7),a7))),
% 58.79/58.85 inference(scs_inference,[],[19,14,15,16,22,2,31,23,3])).
% 58.79/58.85 cnf(48,plain,
% 58.79/58.85 (P2(f3(f3(a5,a6),f2(f3(a5,a6))),f3(a5,a6))),
% 58.79/58.85 inference(scs_inference,[],[19,14,15,16,22,2,31,23,3,10,12,11])).
% 58.79/58.85 cnf(49,plain,
% 58.79/58.85 (~P2(a1,f3(f4(a7),a7))),
% 58.79/58.85 inference(scs_inference,[],[43,22])).
% 58.79/58.85 cnf(51,plain,
% 58.79/58.85 (E(f2(a5),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[43,39,22,2])).
% 58.79/58.85 cnf(52,plain,
% 58.79/58.85 (E(f4(a6),f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[38,43,39,22,2,3])).
% 58.79/58.85 cnf(54,plain,
% 58.79/58.85 (~P1(f4(a6))+P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[38,43,39,22,2,3,10])).
% 58.79/58.85 cnf(55,plain,
% 58.79/58.85 (~P2(x551,f4(a6))+P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[38,43,39,22,2,3,10,24])).
% 58.79/58.85 cnf(57,plain,
% 58.79/58.85 (~P2(f4(a6),x571)+P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[38,43,39,22,2,3,10,24,25])).
% 58.79/58.85 cnf(64,plain,
% 58.79/58.85 (E(f3(f2(a5),f2(f2(a5))),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[52,2])).
% 58.79/58.85 cnf(65,plain,
% 58.79/58.85 (E(f3(f4(f2(a5)),f2(a5)),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[52,51,15,2,3])).
% 58.79/58.85 cnf(67,plain,
% 58.79/58.85 (~P1(f4(a6))+P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[52,51,15,2,3,10])).
% 58.79/58.85 cnf(70,plain,
% 58.79/58.85 (~P2(x701,f4(a6))+P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[52,51,15,2,3,10,33,24])).
% 58.79/58.85 cnf(74,plain,
% 58.79/58.85 (~E(f3(f3(a5,a6),f2(f3(a5,a6))),f4(a6))+P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[52,51,41,15,2,3,10,33,24,25,34,12])).
% 58.79/58.85 cnf(75,plain,
% 58.79/58.85 (~E(f3(a5,a6),f4(a6))+P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[52,51,41,16,15,2,3,10,33,24,25,34,12,23])).
% 58.79/58.85 cnf(77,plain,
% 58.79/58.85 (E(f4(a6),f3(f4(f2(a5)),f2(a5)))),
% 58.79/58.85 inference(scs_inference,[],[65,2])).
% 58.79/58.85 cnf(82,plain,
% 58.79/58.85 (~P1(f3(f2(a5),f2(f2(a5))))+P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,14,2,3,22,10])).
% 58.79/58.85 cnf(83,plain,
% 58.79/58.85 (P1(f4(a6))+~E(f3(a5,a6),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,14,2,3,22,10,75])).
% 58.79/58.85 cnf(84,plain,
% 58.79/58.85 (P1(f4(a6))+~E(f3(f3(a5,a6),f2(f3(a5,a6))),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,14,2,3,22,10,75,74])).
% 58.79/58.85 cnf(85,plain,
% 58.79/58.85 (~P2(x851,f3(f2(a5),f2(f2(a5))))+P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,14,2,3,22,10,75,74,24])).
% 58.79/58.85 cnf(87,plain,
% 58.79/58.85 (~P2(f3(f2(a5),f2(f2(a5))),x871)+P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,14,2,3,22,10,75,74,24,25])).
% 58.79/58.85 cnf(89,plain,
% 58.79/58.85 (~E(f3(a5,a6),f3(f2(a5),f2(f2(a5))))+P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[19,64,65,48,14,2,3,22,10,75,74,24,25,34,12])).
% 58.79/58.85 cnf(90,plain,
% 58.79/58.85 (E(f3(x901,f3(x902,x903)),f3(f3(x901,x902),x903))),
% 58.79/58.85 inference(scs_inference,[],[18,2])).
% 58.79/58.85 cnf(100,plain,
% 58.79/58.85 (P1(f3(f4(f2(a5)),f2(a5)))+~P1(f3(a6,x1001))),
% 58.79/58.85 inference(scs_inference,[],[77,18,2,10,83,82,84,85,87,89,22,33])).
% 58.79/58.85 cnf(107,plain,
% 58.79/58.85 (E(f3(f3(a5,a6),a7),f3(f3(a5,a6),a1))),
% 58.79/58.85 inference(scs_inference,[],[17,2])).
% 58.79/58.85 cnf(123,plain,
% 58.79/58.85 (E(x1231,f3(f4(x1231),x1231))),
% 58.79/58.85 inference(scs_inference,[],[15,2])).
% 58.79/58.85 cnf(124,plain,
% 58.79/58.85 (E(f3(a5,f3(a6,a7)),f3(f3(a5,a6),a1))),
% 58.79/58.85 inference(scs_inference,[],[107,90,15,2,3])).
% 58.79/58.85 cnf(171,plain,
% 58.79/58.85 (~P1(f2(a5))+P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[51,10])).
% 58.79/58.85 cnf(192,plain,
% 58.79/58.85 (P2(f3(a1,f2(a1)),a1)),
% 58.79/58.85 inference(scs_inference,[],[13,38,35,11])).
% 58.79/58.85 cnf(193,plain,
% 58.79/58.85 (P2(f3(a1,f2(a1)),f3(a1,f2(a1)))),
% 58.79/58.85 inference(scs_inference,[],[38,192,12])).
% 58.79/58.85 cnf(195,plain,
% 58.79/58.85 (P1(f3(f4(a1),a1))),
% 58.79/58.85 inference(scs_inference,[],[13,38,123,192,12,10])).
% 58.79/58.85 cnf(200,plain,
% 58.79/58.85 (~P1(f3(f2(a5),f2(f2(a5))))+P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[54,82])).
% 58.79/58.85 cnf(211,plain,
% 58.79/58.85 (P1(f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[16,171,32])).
% 58.79/58.85 cnf(212,plain,
% 58.79/58.85 (P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[211,54])).
% 58.79/58.85 cnf(213,plain,
% 58.79/58.85 (P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[211,67])).
% 58.79/58.85 cnf(215,plain,
% 58.79/58.85 (P1(a6)),
% 58.79/58.85 inference(scs_inference,[],[211,21])).
% 58.79/58.85 cnf(217,plain,
% 58.79/58.85 (P2(f4(a6),f3(f4(f2(a5)),f2(a5)))),
% 58.79/58.85 inference(scs_inference,[],[77,211,21,23])).
% 58.79/58.85 cnf(220,plain,
% 58.79/58.85 (P2(f3(f4(f2(a5)),f2(a5)),f4(a6))),
% 58.79/58.85 inference(scs_inference,[],[65,77,211,21,23,12,11])).
% 58.79/58.85 cnf(227,plain,
% 58.79/58.85 (P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[220,55])).
% 58.79/58.85 cnf(228,plain,
% 58.79/58.85 (P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[217,57])).
% 58.79/58.85 cnf(229,plain,
% 58.79/58.85 (P1(f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[220,70])).
% 58.79/58.85 cnf(234,plain,
% 58.79/58.85 (P1(f2(a5))),
% 58.79/58.85 inference(scs_inference,[],[213,200])).
% 58.79/58.85 cnf(236,plain,
% 58.79/58.85 (P1(a5)),
% 58.79/58.85 inference(scs_inference,[],[212,20])).
% 58.79/58.85 cnf(248,plain,
% 58.79/58.85 (P1(f8(a7,a1))),
% 58.79/58.85 inference(scs_inference,[],[19,27,2])).
% 58.79/58.85 cnf(249,plain,
% 58.79/58.85 (P2(f8(a7,a1),f3(f8(a7,a1),f2(f8(a7,a1))))),
% 58.79/58.85 inference(scs_inference,[],[38,248,23])).
% 58.79/58.85 cnf(253,plain,
% 58.79/58.85 (P2(f2(a5),f3(f2(a5),f2(f2(a5))))),
% 58.79/58.85 inference(scs_inference,[],[38,227,23])).
% 58.79/58.85 cnf(258,plain,
% 58.79/58.85 (P2(a6,f3(a6,f2(a6)))),
% 58.79/58.86 inference(scs_inference,[],[38,215,23])).
% 58.79/58.86 cnf(271,plain,
% 58.79/58.86 (E(f3(x2711,f2(x2711)),x2711)),
% 58.79/58.86 inference(rename_variables,[],[14])).
% 58.79/58.86 cnf(274,plain,
% 58.79/58.86 (E(f3(x2741,f2(x2741)),x2741)),
% 58.79/58.86 inference(rename_variables,[],[14])).
% 58.79/58.86 cnf(275,plain,
% 58.79/58.86 (P2(a1,a1)),
% 58.79/58.86 inference(scs_inference,[],[14,271,274,253,192,229,23,12,11])).
% 58.79/58.86 cnf(276,plain,
% 58.79/58.86 (E(f3(x2761,f2(x2761)),x2761)),
% 58.79/58.86 inference(rename_variables,[],[14])).
% 58.79/58.86 cnf(279,plain,
% 58.79/58.86 (P1(f3(f8(a7,a1),f2(f8(a7,a1))))),
% 58.79/58.86 inference(scs_inference,[],[14,271,274,276,38,248,253,39,192,229,23,12,11,3,10])).
% 58.79/58.86 cnf(284,plain,
% 58.79/58.86 (E(f3(x2841,f2(x2841)),x2841)),
% 58.79/58.86 inference(rename_variables,[],[14])).
% 58.79/58.86 cnf(287,plain,
% 58.79/58.86 (E(f3(x2871,f2(x2871)),x2871)),
% 58.79/58.86 inference(rename_variables,[],[14])).
% 58.79/58.86 cnf(288,plain,
% 58.79/58.86 (P2(a1,f3(a1,f2(a1)))),
% 58.79/58.86 inference(scs_inference,[],[14,284,287,249,279,193,23,12,11])).
% 58.79/58.86 cnf(305,plain,
% 58.79/58.86 (E(f2(x3051),f2(f3(x3051,f2(x3051))))),
% 58.79/58.86 inference(scs_inference,[],[14,4,2])).
% 58.79/58.86 cnf(312,plain,
% 58.79/58.86 (E(f4(f2(a5)),f2(a5))),
% 58.79/58.86 inference(scs_inference,[],[36,234,305,288,2,12,10,20,31])).
% 58.79/58.86 cnf(317,plain,
% 58.79/58.86 (E(f2(a5),f4(f2(a5)))),
% 58.79/58.86 inference(scs_inference,[],[312,2])).
% 58.79/58.86 cnf(319,plain,
% 58.79/58.86 (P1(f4(f2(a5)))),
% 58.79/58.86 inference(scs_inference,[],[49,212,312,288,2,12,10])).
% 58.79/58.86 cnf(328,plain,
% 58.79/58.86 (P2(f3(f4(a1),a1),a1)),
% 58.79/58.86 inference(scs_inference,[],[15,195,23])).
% 58.79/58.86 cnf(329,plain,
% 58.79/58.86 (E(f3(f4(x3291),x3291),x3291)),
% 58.79/58.86 inference(rename_variables,[],[15])).
% 58.79/58.86 cnf(331,plain,
% 58.79/58.86 (E(f3(f4(f2(a5)),f2(a5)),f4(f2(a5)))),
% 58.79/58.86 inference(scs_inference,[],[15,329,317,195,23,3])).
% 58.79/58.86 cnf(390,plain,
% 58.79/58.86 (~P1(f3(a6,x3901))+P1(f4(f4(f2(a5))))),
% 58.79/58.86 inference(scs_inference,[],[100,33])).
% 58.79/58.86 cnf(398,plain,
% 58.79/58.86 (E(f3(x3981,f2(f3(a5,x3981))),x3981)),
% 58.79/58.86 inference(scs_inference,[],[90,38,29])).
% 58.79/58.86 cnf(399,plain,
% 58.79/58.86 (E(x3991,f3(x3991,f2(x3991)))),
% 58.79/58.86 inference(rename_variables,[],[38])).
% 58.85/58.86 cnf(400,plain,
% 58.85/58.86 (E(f3(x4001,f3(x4002,x4003)),f3(f3(x4001,x4002),x4003))),
% 58.85/58.86 inference(rename_variables,[],[90])).
% 58.85/58.86 cnf(402,plain,
% 58.85/58.86 (E(f3(x4021,f2(f3(a6,x4021))),x4021)),
% 58.85/58.86 inference(scs_inference,[],[90,400,38,399,29,30])).
% 58.85/58.86 cnf(419,plain,
% 58.85/58.86 (E(x4191,f3(x4191,f2(f3(a5,x4191))))),
% 58.85/58.86 inference(scs_inference,[],[398,2])).
% 58.85/58.86 cnf(426,plain,
% 58.85/58.86 (E(x4261,f3(x4261,f2(f3(a6,x4261))))),
% 58.85/58.86 inference(scs_inference,[],[402,2])).
% 58.85/58.86 cnf(433,plain,
% 58.85/58.86 (E(x4331,f3(f4(x4331),x4331))),
% 58.85/58.86 inference(rename_variables,[],[123])).
% 58.85/58.86 cnf(435,plain,
% 58.85/58.86 (P2(f3(f4(a6),a6),f3(a6,f2(a6)))),
% 58.85/58.86 inference(scs_inference,[],[123,433,248,258,23,11])).
% 58.85/58.86 cnf(483,plain,
% 58.85/58.86 (P1(f3(a6,f2(a6)))),
% 58.85/58.86 inference(scs_inference,[],[215,38,10])).
% 58.85/58.86 cnf(487,plain,
% 58.85/58.86 (E(f4(f2(a6)),f2(a6))),
% 58.85/58.86 inference(scs_inference,[],[215,38,10,390,31])).
% 58.85/58.86 cnf(492,plain,
% 58.85/58.86 (P1(f3(f4(f2(a5)),f2(a5)))),
% 58.85/58.86 inference(scs_inference,[],[483,100])).
% 58.85/58.86 cnf(501,plain,
% 58.85/58.86 (P1(f3(a6,f2(f3(a5,a6))))),
% 58.85/58.86 inference(scs_inference,[],[215,419,10])).
% 58.85/58.86 cnf(514,plain,
% 58.85/58.86 (E(f2(a6),f4(f2(f3(a6,a6))))),
% 58.85/58.86 inference(scs_inference,[],[215,426,10,31,2])).
% 58.85/58.86 cnf(546,plain,
% 58.85/58.86 (~P1(f2(a6))+P1(f4(f2(f3(a6,a6))))),
% 58.85/58.86 inference(scs_inference,[],[514,10])).
% 58.85/58.86 cnf(591,plain,
% 58.85/58.86 (P1(f2(f3(a6,a6)))+~P1(f2(a6))),
% 58.85/58.86 inference(scs_inference,[],[546,21])).
% 58.85/58.86 cnf(592,plain,
% 58.85/58.86 (P1(f3(a6,a6))+~P1(f2(a6))),
% 58.85/58.86 inference(scs_inference,[],[591,20])).
% 58.85/58.86 cnf(593,plain,
% 58.85/58.86 (~P1(f2(a6))+E(f4(a6),f2(a6))),
% 58.85/58.86 inference(scs_inference,[],[592,31])).
% 58.85/58.86 cnf(594,plain,
% 58.85/58.86 (E(f4(a6),f2(a6))),
% 58.85/58.86 inference(scs_inference,[],[501,593,32])).
% 58.85/58.86 cnf(595,plain,
% 58.85/58.86 (E(f2(a6),f4(a6))),
% 58.85/58.86 inference(scs_inference,[],[594,2])).
% 58.85/58.86 cnf(622,plain,
% 58.85/58.86 (E(f2(f4(a5)),f4(a5))),
% 58.85/58.86 inference(scs_inference,[],[236,123,10,31,2])).
% 58.85/58.86 cnf(628,plain,
% 58.85/58.86 (E(f2(a5),f4(f2(f3(a5,a5))))),
% 58.85/58.86 inference(scs_inference,[],[236,419,10,31,2])).
% 58.85/58.86 cnf(637,plain,
% 58.85/58.86 (E(f2(a5),f4(f2(f3(a6,a5))))),
% 58.85/58.86 inference(scs_inference,[],[236,426,10,31,2])).
% 58.85/58.86 cnf(649,plain,
% 58.85/58.86 (E(f2(a5),f4(a5))),
% 58.85/58.86 inference(scs_inference,[],[628,228,10,21,20,31,2])).
% 58.85/58.86 cnf(661,plain,
% 58.85/58.86 (E(f2(a6),f4(a5))),
% 58.85/58.86 inference(scs_inference,[],[637,234,10,21,20,31,2])).
% 58.85/58.86 cnf(666,plain,
% 58.85/58.86 (P1(f4(a5))),
% 58.85/58.86 inference(scs_inference,[],[649,212,10])).
% 58.85/58.86 cnf(702,plain,
% 58.85/58.86 (P2(f2(a5),f2(f3(a5,f2(a5))))),
% 58.85/58.86 inference(scs_inference,[],[305,227,23])).
% 58.85/58.86 cnf(740,plain,
% 58.85/58.86 (P2(f4(f2(a5)),f2(a5))),
% 58.85/58.86 inference(scs_inference,[],[312,319,23])).
% 58.85/58.86 cnf(745,plain,
% 58.85/58.86 (E(f4(f2(a5)),f4(a5))),
% 58.85/58.86 inference(scs_inference,[],[312,649,3])).
% 58.85/58.86 cnf(771,plain,
% 58.85/58.86 (E(f4(a5),f3(f4(f2(a5)),f2(a5)))),
% 58.85/58.86 inference(scs_inference,[],[331,745,3,2])).
% 58.85/58.86 cnf(814,plain,
% 58.85/58.86 (E(x8141,f3(x8141,f2(f3(a6,x8141))))),
% 58.85/58.86 inference(rename_variables,[],[426])).
% 58.85/58.86 cnf(816,plain,
% 58.85/58.86 (P2(f3(a1,f2(f3(a6,a1))),a1)),
% 58.85/58.86 inference(scs_inference,[],[426,814,275,236,23,11])).
% 58.85/58.86 cnf(839,plain,
% 58.85/58.86 (E(f4(a5),f4(f2(a6)))),
% 58.85/58.86 inference(scs_inference,[],[487,661,3,2])).
% 58.85/58.86 cnf(942,plain,
% 58.85/58.86 (E(f2(a6),f2(a5))),
% 58.85/58.86 inference(scs_inference,[],[595,39,3])).
% 58.85/58.86 cnf(1007,plain,
% 58.85/58.86 (~P2(a7,a1)),
% 58.85/58.86 inference(scs_inference,[],[19,2,22])).
% 58.85/58.86 cnf(1009,plain,
% 58.85/58.86 (~E(f3(f4(a1),a1),a7)),
% 58.85/58.86 inference(scs_inference,[],[622,1007,771,328,3,11])).
% 58.85/58.86 cnf(1092,plain,
% 58.85/58.86 (~E(f3(a6,a7),f3(f3(a6,a1),f2(f3(a6,a1))))),
% 58.85/58.86 inference(scs_inference,[],[19,38,2,30])).
% 58.85/58.86 cnf(1172,plain,
% 58.85/58.86 (E(f4(f2(a6)),f2(a5))),
% 58.85/58.86 inference(scs_inference,[],[649,839,702,740,3,12,11,2])).
% 58.85/58.86 cnf(1236,plain,
% 58.85/58.86 (P1(f3(f4(f4(a5)),f4(a5)))),
% 58.85/58.86 inference(scs_inference,[],[666,123,10])).
% 58.85/58.86 cnf(1400,plain,
% 58.85/58.86 (P1(f3(a5,f2(a6)))),
% 58.85/58.86 inference(scs_inference,[],[16,1172,32,34])).
% 58.85/58.86 cnf(1480,plain,
% 58.85/58.86 (~E(f3(f4(a1),a1),f3(f4(a7),a7))),
% 58.85/58.86 inference(scs_inference,[],[1009,15,3])).
% 58.85/58.86 cnf(1555,plain,
% 58.85/58.86 (~E(f3(a6,a7),f3(a6,a1))),
% 58.85/58.86 inference(scs_inference,[],[1092,38,3])).
% 58.85/58.86 cnf(1762,plain,
% 58.85/58.86 ($false),
% 58.85/58.86 inference(scs_inference,[],[435,492,1236,1400,1480,1555,942,816,124,90,15,35,4,7,5,8,9,6,32,27,33,22,25,2,29]),
% 58.85/58.86 ['proof']).
% 58.85/58.86 % SZS output end Proof
% 58.85/58.86 % Total time :58.250000s
%------------------------------------------------------------------------------