TSTP Solution File: GRP182-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP182-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Thu Aug 31 00:11:27 EDT 2023
% Result : Unsatisfiable 15.86s 15.91s
% Output : CNFRefutation 15.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP182-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 22:00:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 15.86/15.91 %-------------------------------------------
% 15.86/15.91 % File :CSE---1.6
% 15.86/15.91 % Problem :theBenchmark
% 15.86/15.91 % Transform :cnf
% 15.86/15.91 % Format :tptp:raw
% 15.86/15.91 % Command :java -jar mcs_scs.jar %d %s
% 15.86/15.91
% 15.86/15.91 % Result :Theorem 15.290000s
% 15.86/15.91 % Output :CNFRefutation 15.290000s
% 15.86/15.91 %-------------------------------------------
% 15.86/15.91 %--------------------------------------------------------------------------
% 15.86/15.91 % File : GRP182-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 15.86/15.91 % Domain : Group Theory (Lattice Ordered)
% 15.86/15.91 % Problem : Positive part of the negative part is identity
% 15.86/15.91 % Version : [Fuc94] (equality) axioms : Augmented.
% 15.86/15.91 % Theorem formulation : Dual.
% 15.86/15.91 % English :
% 15.86/15.91
% 15.86/15.91 % Refs : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 15.86/15.91 % : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 15.86/15.91 % Source : [Sch95]
% 15.86/15.91 % Names : p17b [Sch95]
% 15.86/15.91
% 15.86/15.91 % Status : Unsatisfiable
% 15.86/15.91 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 15.86/15.91 % Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 2 RR)
% 15.86/15.91 % Number of literals : 19 ( 19 equ; 1 neg)
% 15.86/15.91 % Maximal clause size : 1 ( 1 avg)
% 15.86/15.91 % Maximal term depth : 3 ( 2 avg)
% 15.86/15.91 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 15.86/15.91 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 15.86/15.91 % Number of variables : 36 ( 2 sgn)
% 15.86/15.91 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 15.86/15.91
% 15.86/15.91 % Comments : ORDERING LPO inverse > product > greatest_lower_bound >
% 15.86/15.91 % least_upper_bound > identity > a
% 15.86/15.91 % : ORDERING LPO greatest_lower_bound > least_upper_bound >
% 15.86/15.91 % inverse > product > identity > a
% 15.86/15.91 % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 15.86/15.91 %--------------------------------------------------------------------------
% 15.86/15.91 %----Include equality group theory axioms
% 15.86/15.91 include('Axioms/GRP004-0.ax').
% 15.86/15.91 %----Include Lattice ordered group (equality) axioms
% 15.86/15.91 include('Axioms/GRP004-2.ax').
% 15.86/15.91 %--------------------------------------------------------------------------
% 15.86/15.91 cnf(p17b_1,hypothesis,
% 15.86/15.91 inverse(identity) = identity ).
% 15.86/15.91
% 15.86/15.91 cnf(p17b_2,hypothesis,
% 15.86/15.91 inverse(inverse(X)) = X ).
% 15.86/15.91
% 15.86/15.91 cnf(p17b_3,hypothesis,
% 15.86/15.91 inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ).
% 15.86/15.91
% 15.86/15.91 cnf(prove_p17b,negated_conjecture,
% 15.86/15.91 greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity ).
% 15.86/15.91
% 15.86/15.91 %--------------------------------------------------------------------------
% 15.86/15.91 %-------------------------------------------
% 15.86/15.91 % Proof found
% 15.86/15.91 % SZS status Theorem for theBenchmark
% 15.86/15.91 % SZS output start Proof
% 15.86/15.92 %ClaNum:29(EqnAxiom:10)
% 15.86/15.92 %VarNum:78(SingletonVarNum:36)
% 15.86/15.92 %MaxLitNum:1
% 15.86/15.92 %MaxfuncDepth:2
% 15.89/15.92 %SharedTerms:7
% 15.89/15.92 %goalClause: 29
% 15.89/15.92 %singleGoalClaCount:1
% 15.89/15.92 [11]E(f4(a1),a1)
% 15.89/15.92 [29]~E(f2(a1,f6(a3,a1)),a1)
% 15.89/15.92 [13]E(f5(a1,x131),x131)
% 15.89/15.92 [14]E(f2(x141,x141),x141)
% 15.89/15.92 [15]E(f6(x151,x151),x151)
% 15.89/15.92 [12]E(f4(f4(x121)),x121)
% 15.89/15.92 [16]E(f5(f4(x161),x161),a1)
% 15.89/15.92 [17]E(f2(x171,x172),f2(x172,x171))
% 15.89/15.92 [18]E(f6(x181,x182),f6(x182,x181))
% 15.89/15.92 [19]E(f2(x191,f6(x191,x192)),x191)
% 15.89/15.92 [20]E(f6(x201,f2(x201,x202)),x201)
% 15.89/15.92 [21]E(f4(f5(x211,x212)),f5(f4(x212),f4(x211)))
% 15.89/15.92 [22]E(f2(f2(x221,x222),x223),f2(x221,f2(x222,x223)))
% 15.89/15.92 [23]E(f6(f6(x231,x232),x233),f6(x231,f6(x232,x233)))
% 15.89/15.92 [24]E(f5(f5(x241,x242),x243),f5(x241,f5(x242,x243)))
% 15.89/15.92 [25]E(f2(f5(x251,x252),f5(x251,x253)),f5(x251,f2(x252,x253)))
% 15.89/15.92 [26]E(f6(f5(x261,x262),f5(x261,x263)),f5(x261,f6(x262,x263)))
% 15.89/15.92 [27]E(f2(f5(x271,x272),f5(x273,x272)),f5(f2(x271,x273),x272))
% 15.89/15.92 [28]E(f6(f5(x281,x282),f5(x283,x282)),f5(f6(x281,x283),x282))
% 15.89/15.92 %EqnAxiom
% 15.89/15.92 [1]E(x11,x11)
% 15.89/15.92 [2]E(x22,x21)+~E(x21,x22)
% 15.89/15.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 15.89/15.92 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 15.89/15.92 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 15.89/15.92 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 15.89/15.92 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 15.89/15.92 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 15.89/15.92 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 15.89/15.92 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 15.89/15.92
% 15.89/15.92 %-------------------------------------------
% 15.89/15.92 cnf(30,plain,
% 15.89/15.92 (E(a1,f4(a1))),
% 15.89/15.92 inference(scs_inference,[],[11,2])).
% 15.89/15.92 cnf(31,plain,
% 15.89/15.92 (~E(f2(a1,f6(a3,a1)),f4(a1))),
% 15.89/15.92 inference(scs_inference,[],[29,11,2,3])).
% 15.89/15.92 cnf(32,plain,
% 15.89/15.92 (E(f5(x321,f4(a1)),f5(x321,a1))),
% 15.89/15.92 inference(scs_inference,[],[29,11,2,3,10])).
% 15.89/15.92 cnf(33,plain,
% 15.89/15.92 (E(f5(f4(a1),x331),f5(a1,x331))),
% 15.89/15.92 inference(scs_inference,[],[29,11,2,3,10,9])).
% 15.89/15.92 cnf(34,plain,
% 15.89/15.92 (E(f6(x341,f4(a1)),f6(x341,a1))),
% 15.89/15.92 inference(scs_inference,[],[29,11,2,3,10,9,8])).
% 15.89/15.92 cnf(35,plain,
% 15.89/15.93 (E(f6(f4(a1),x351),f6(a1,x351))),
% 15.89/15.93 inference(scs_inference,[],[29,11,2,3,10,9,8,7])).
% 15.89/15.93 cnf(36,plain,
% 15.89/15.93 (E(f2(x361,f4(a1)),f2(x361,a1))),
% 15.89/15.93 inference(scs_inference,[],[29,11,2,3,10,9,8,7,6])).
% 15.89/15.93 cnf(37,plain,
% 15.89/15.93 (E(f2(f4(a1),x371),f2(a1,x371))),
% 15.89/15.93 inference(scs_inference,[],[29,11,2,3,10,9,8,7,6,5])).
% 15.89/15.93 cnf(38,plain,
% 15.89/15.93 (E(f4(f4(a1)),f4(a1))),
% 15.89/15.93 inference(scs_inference,[],[29,11,2,3,10,9,8,7,6,5,4])).
% 15.89/15.93 cnf(39,plain,
% 15.89/15.93 (~E(a1,f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[29,2])).
% 15.89/15.93 cnf(40,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),a1)),
% 15.89/15.93 inference(scs_inference,[],[29,17,2,3])).
% 15.89/15.93 cnf(42,plain,
% 15.89/15.93 (E(x421,f2(x421,x421))),
% 15.89/15.93 inference(scs_inference,[],[14,2])).
% 15.89/15.93 cnf(43,plain,
% 15.89/15.93 (E(f2(f4(a1),f4(a1)),a1)),
% 15.89/15.93 inference(scs_inference,[],[11,14,2,3])).
% 15.89/15.93 cnf(45,plain,
% 15.89/15.93 (~E(a1,f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[40,2])).
% 15.89/15.93 cnf(47,plain,
% 15.89/15.93 (E(x471,f4(f4(x471)))),
% 15.89/15.93 inference(scs_inference,[],[12,2])).
% 15.89/15.93 cnf(48,plain,
% 15.89/15.93 (~E(f4(a1),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3])).
% 15.89/15.93 cnf(49,plain,
% 15.89/15.93 (E(f2(f4(f4(x491)),x492),f2(x491,x492))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5])).
% 15.89/15.93 cnf(50,plain,
% 15.89/15.93 (E(f4(a1),f4(f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4])).
% 15.89/15.93 cnf(51,plain,
% 15.89/15.93 (E(f5(x511,f4(f4(x512))),f5(x511,x512))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4,10])).
% 15.89/15.93 cnf(52,plain,
% 15.89/15.93 (E(f5(f4(f4(x521)),x522),f5(x521,x522))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4,10,9])).
% 15.89/15.93 cnf(53,plain,
% 15.89/15.93 (E(f6(x531,f4(f4(x532))),f6(x531,x532))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4,10,9,8])).
% 15.89/15.93 cnf(54,plain,
% 15.89/15.93 (E(f6(f4(f4(x541)),x542),f6(x541,x542))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4,10,9,8,7])).
% 15.89/15.93 cnf(55,plain,
% 15.89/15.93 (E(f2(x551,f4(f4(x552))),f2(x551,x552))),
% 15.89/15.93 inference(scs_inference,[],[12,30,45,2,3,5,4,10,9,8,7,6])).
% 15.89/15.93 cnf(56,plain,
% 15.89/15.93 (~E(f4(a1),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[31,2])).
% 15.89/15.93 cnf(59,plain,
% 15.89/15.93 (E(x591,f5(a1,x591))),
% 15.89/15.93 inference(scs_inference,[],[13,2])).
% 15.89/15.93 cnf(60,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f5(a1,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[13,31,2,3])).
% 15.89/15.93 cnf(62,plain,
% 15.89/15.93 (~E(f5(a1,f4(a1)),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[60,2])).
% 15.89/15.93 cnf(63,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f5(a1,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[17,60,2,3])).
% 15.89/15.93 cnf(65,plain,
% 15.89/15.93 (E(f5(x651,a1),f5(x651,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[32,2])).
% 15.89/15.93 cnf(66,plain,
% 15.89/15.93 (E(f5(f4(a1),f4(a1)),f5(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[32,33,2,3])).
% 15.89/15.93 cnf(69,plain,
% 15.89/15.93 (E(f6(f2(x691,x691),x692),f6(x691,x692))),
% 15.89/15.93 inference(scs_inference,[],[14,32,33,2,3,7])).
% 15.89/15.93 cnf(71,plain,
% 15.89/15.93 (E(f2(f2(x711,x711),x712),f2(x711,x712))),
% 15.89/15.93 inference(scs_inference,[],[14,32,33,2,3,7,6,5])).
% 15.89/15.93 cnf(73,plain,
% 15.89/15.93 (E(f5(x731,f2(x732,x732)),f5(x731,x732))),
% 15.89/15.93 inference(scs_inference,[],[14,32,33,2,3,7,6,5,4,10])).
% 15.89/15.93 cnf(74,plain,
% 15.89/15.93 (E(f5(f2(x741,x741),x742),f5(x741,x742))),
% 15.89/15.93 inference(scs_inference,[],[14,32,33,2,3,7,6,5,4,10,9])).
% 15.89/15.93 cnf(75,plain,
% 15.89/15.93 (E(f6(x751,f2(x752,x752)),f6(x751,x752))),
% 15.89/15.93 inference(scs_inference,[],[14,32,33,2,3,7,6,5,4,10,9,8])).
% 15.89/15.93 cnf(76,plain,
% 15.89/15.93 (~E(f5(a1,f4(a1)),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[63,2])).
% 15.89/15.93 cnf(77,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f2(f4(a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[14,31,63,2,3])).
% 15.89/15.93 cnf(79,plain,
% 15.89/15.93 (E(x791,f6(x791,x791))),
% 15.89/15.93 inference(scs_inference,[],[15,2])).
% 15.89/15.93 cnf(80,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f2(f4(a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[15,17,77,2,3])).
% 15.89/15.93 cnf(83,plain,
% 15.89/15.93 (E(f6(a1,f4(a1)),a1)),
% 15.89/15.93 inference(scs_inference,[],[15,34,80,2,3])).
% 15.89/15.93 cnf(86,plain,
% 15.89/15.93 (E(a1,f5(f4(x861),x861))),
% 15.89/15.93 inference(scs_inference,[],[16,2])).
% 15.89/15.93 cnf(87,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f5(f4(x871),x871))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3])).
% 15.89/15.93 cnf(89,plain,
% 15.89/15.93 (E(f6(x891,f5(f4(x892),x892)),f6(x891,a1))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3,9,8])).
% 15.89/15.93 cnf(90,plain,
% 15.89/15.93 (E(f6(f5(f4(x901),x901),x902),f6(a1,x902))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3,9,8,7])).
% 15.89/15.93 cnf(91,plain,
% 15.89/15.93 (E(f2(x911,f5(f4(x912),x912)),f2(x911,a1))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3,9,8,7,6])).
% 15.89/15.93 cnf(92,plain,
% 15.89/15.93 (E(f2(f5(f4(x921),x921),x922),f2(a1,x922))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3,9,8,7,6,5])).
% 15.89/15.93 cnf(94,plain,
% 15.89/15.93 (E(f5(x941,f5(f4(x942),x942)),f5(x941,a1))),
% 15.89/15.93 inference(scs_inference,[],[16,40,2,3,9,8,7,6,5,4,10])).
% 15.89/15.93 cnf(95,plain,
% 15.89/15.93 (~E(f5(f4(x951),x951),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[87,2])).
% 15.89/15.93 cnf(96,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f5(f4(x961),x961))),
% 15.89/15.93 inference(scs_inference,[],[17,87,2,3])).
% 15.89/15.93 cnf(98,plain,
% 15.89/15.93 (E(f6(a1,x981),f6(f4(a1),x981))),
% 15.89/15.93 inference(scs_inference,[],[35,2])).
% 15.89/15.93 cnf(102,plain,
% 15.89/15.93 (~E(f5(f4(x1021),x1021),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[96,2])).
% 15.89/15.93 cnf(103,plain,
% 15.89/15.93 (~E(f5(f4(x1031),x1031),f2(f6(a3,a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[36,95,96,2,3])).
% 15.89/15.93 cnf(105,plain,
% 15.89/15.93 (E(f2(a1,x1051),f2(f4(a1),x1051))),
% 15.89/15.93 inference(scs_inference,[],[37,2])).
% 15.89/15.93 cnf(106,plain,
% 15.89/15.93 (~E(f2(f4(a1),f4(a1)),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[37,42,56,2,3])).
% 15.89/15.93 cnf(108,plain,
% 15.89/15.93 (E(f4(f6(x1081,x1082)),f4(f6(x1082,x1081)))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4])).
% 15.89/15.93 cnf(109,plain,
% 15.89/15.93 (E(f5(x1091,f6(x1092,x1093)),f5(x1091,f6(x1093,x1092)))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4,10])).
% 15.89/15.93 cnf(111,plain,
% 15.89/15.93 (E(f6(x1111,f6(x1112,x1113)),f6(x1111,f6(x1113,x1112)))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4,10,9,8])).
% 15.89/15.93 cnf(112,plain,
% 15.89/15.93 (E(f6(f6(x1121,x1122),x1123),f6(f6(x1122,x1121),x1123))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4,10,9,8,7])).
% 15.89/15.93 cnf(113,plain,
% 15.89/15.93 (E(f2(x1131,f6(x1132,x1133)),f2(x1131,f6(x1133,x1132)))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4,10,9,8,7,6])).
% 15.89/15.93 cnf(114,plain,
% 15.89/15.93 (E(f2(f6(x1141,x1142),x1143),f2(f6(x1142,x1141),x1143))),
% 15.89/15.93 inference(scs_inference,[],[18,37,42,56,2,3,4,10,9,8,7,6,5])).
% 15.89/15.93 cnf(115,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),f4(a1)),f5(f4(x1151),x1151))),
% 15.89/15.93 inference(scs_inference,[],[103,2])).
% 15.89/15.93 cnf(116,plain,
% 15.89/15.93 (E(f2(f6(x1161,x1162),f6(f6(x1161,x1162),x1163)),f6(x1162,x1161))),
% 15.89/15.93 inference(scs_inference,[],[18,19,103,2,3])).
% 15.89/15.93 cnf(118,plain,
% 15.89/15.93 (E(x1181,f2(x1181,f6(x1181,x1182)))),
% 15.89/15.93 inference(scs_inference,[],[19,2])).
% 15.89/15.93 cnf(119,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f4(f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[19,38,31,2,3])).
% 15.89/15.93 cnf(121,plain,
% 15.89/15.93 (~E(f5(a1,a1),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[33,102,119,2,3])).
% 15.89/15.93 cnf(132,plain,
% 15.89/15.93 (E(f5(f6(x1321,f2(x1321,x1322)),x1323),f5(x1321,x1323))),
% 15.89/15.93 inference(scs_inference,[],[20,21,32,2,3,6,5,4,10,9])).
% 15.89/15.93 cnf(133,plain,
% 15.89/15.93 (E(f6(x1331,f6(x1332,f2(x1332,x1333))),f6(x1331,x1332))),
% 15.89/15.93 inference(scs_inference,[],[20,21,32,2,3,6,5,4,10,9,8])).
% 15.89/15.93 cnf(135,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f5(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[121,2])).
% 15.89/15.93 cnf(136,plain,
% 15.89/15.93 (~E(f4(a1),f2(f6(a3,a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[36,48,121,2,3])).
% 15.89/15.93 cnf(141,plain,
% 15.89/15.93 (~E(f4(a1),f6(a3,a1))),
% 15.89/15.93 inference(scs_inference,[],[21,37,106,2,3,6])).
% 15.89/15.93 cnf(143,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),f4(a1)),f4(a1))),
% 15.89/15.93 inference(scs_inference,[],[30,136,6,2])).
% 15.89/15.93 cnf(148,plain,
% 15.89/15.93 (E(f2(x1481,x1482),f2(x1481,f2(x1482,f2(x1481,x1482))))),
% 15.89/15.93 inference(scs_inference,[],[22,42,2,3])).
% 15.89/15.93 cnf(157,plain,
% 15.89/15.93 (~E(f6(a3,a1),f4(a1))),
% 15.89/15.93 inference(scs_inference,[],[141,2])).
% 15.89/15.93 cnf(158,plain,
% 15.89/15.93 (~E(f2(a1,a1),f2(a1,f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[39,42,141,2,3])).
% 15.89/15.93 cnf(160,plain,
% 15.89/15.93 (~E(a1,f6(a3,a1))),
% 15.89/15.93 inference(scs_inference,[],[39,42,141,2,3,6])).
% 15.89/15.93 cnf(163,plain,
% 15.89/15.93 (E(f2(f4(a1),f4(a1)),f2(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[23,43,42,6,2,3])).
% 15.89/15.93 cnf(179,plain,
% 15.89/15.93 (~E(f6(a3,a1),a1)),
% 15.89/15.93 inference(scs_inference,[],[160,2])).
% 15.89/15.93 cnf(183,plain,
% 15.89/15.93 (~E(f4(a1),f6(a3,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[25,34,141,2,3])).
% 15.89/15.93 cnf(210,plain,
% 15.89/15.93 (~E(a1,f2(f4(a1),f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[28,39,37,2,3])).
% 15.89/15.93 cnf(218,plain,
% 15.89/15.93 (~E(f2(a1,f6(a3,a1)),f2(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[158,2])).
% 15.89/15.93 cnf(219,plain,
% 15.89/15.93 (~E(f4(f4(a1)),f2(f4(a1),f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[47,158,210,2,3])).
% 15.89/15.93 cnf(225,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),f4(a1)),f5(f4(a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[32,115,219,2,3])).
% 15.89/15.93 cnf(238,plain,
% 15.89/15.93 (~E(f5(f4(a1),f4(a1)),f2(f6(a3,a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[225,2])).
% 15.89/15.93 cnf(242,plain,
% 15.89/15.93 (~E(a1,f6(a3,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[34,148,160,2,3])).
% 15.89/15.93 cnf(245,plain,
% 15.89/15.93 (~E(f5(a1,a1),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[32,76,242,2,3])).
% 15.89/15.93 cnf(257,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f5(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[245,2])).
% 15.89/15.93 cnf(263,plain,
% 15.89/15.93 (~E(f4(f6(a3,a1)),a1)),
% 15.89/15.93 inference(scs_inference,[],[47,116,157,2,3,4])).
% 15.89/15.93 cnf(264,plain,
% 15.89/15.93 (E(f4(x2641),f4(f6(x2641,x2641)))),
% 15.89/15.93 inference(scs_inference,[],[79,4])).
% 15.89/15.93 cnf(271,plain,
% 15.89/15.93 (~E(f4(a1),f2(f6(a3,a1),f4(f4(a1))))),
% 15.89/15.93 inference(scs_inference,[],[55,48,264,2,3])).
% 15.89/15.93 cnf(278,plain,
% 15.89/15.93 (~E(a1,f4(f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[263,2])).
% 15.89/15.93 cnf(279,plain,
% 15.89/15.93 (~E(f5(x2791,f4(x2791)),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[52,263,95,2,3])).
% 15.89/15.93 cnf(288,plain,
% 15.89/15.93 (~E(f4(a1),f2(f4(f4(a1)),f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[49,56,279,2,3])).
% 15.89/15.93 cnf(293,plain,
% 15.89/15.93 (E(f5(x2931,x2932),f5(x2931,f6(x2932,x2932)))),
% 15.89/15.93 inference(scs_inference,[],[50,132,288,79,2,3,10])).
% 15.89/15.93 cnf(295,plain,
% 15.89/15.93 (E(f2(x2951,x2952),f2(f6(x2951,x2951),x2952))),
% 15.89/15.93 inference(scs_inference,[],[50,132,288,79,2,3,10,7,5])).
% 15.89/15.93 cnf(296,plain,
% 15.89/15.93 (E(f5(x2961,x2962),f5(f6(x2961,x2961),x2962))),
% 15.89/15.93 inference(scs_inference,[],[50,132,288,79,2,3,10,7,5,9])).
% 15.89/15.93 cnf(297,plain,
% 15.89/15.93 (E(f6(x2971,x2972),f6(x2971,f6(x2972,x2972)))),
% 15.89/15.93 inference(scs_inference,[],[50,132,288,79,2,3,10,7,5,9,8])).
% 15.89/15.93 cnf(303,plain,
% 15.89/15.93 (~E(f4(a1),f6(f4(f4(a3)),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[54,293,183,2,3])).
% 15.89/15.93 cnf(319,plain,
% 15.89/15.93 (~E(a1,f2(f4(f4(a1)),f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[39,49,271,2,3])).
% 15.89/15.93 cnf(321,plain,
% 15.89/15.93 (E(f2(f6(x3211,x3211),x3212),f2(x3211,x3212))),
% 15.89/15.93 inference(scs_inference,[],[295,2])).
% 15.89/15.93 cnf(325,plain,
% 15.89/15.93 (~E(f2(f4(f4(a1)),f6(a3,a1)),a1)),
% 15.89/15.93 inference(scs_inference,[],[319,2])).
% 15.89/15.93 cnf(326,plain,
% 15.89/15.93 (E(f4(f4(x3261)),f5(a1,x3261))),
% 15.89/15.93 inference(scs_inference,[],[51,59,319,2,3])).
% 15.89/15.93 cnf(331,plain,
% 15.89/15.93 (~E(f5(a1,f4(a1)),f2(f4(f4(a1)),f6(a3,a1)))),
% 15.89/15.93 inference(scs_inference,[],[62,49,296,2,3])).
% 15.89/15.93 cnf(333,plain,
% 15.89/15.93 (E(f5(x3331,x3332),f5(x3331,f2(x3332,f6(x3332,x3333))))),
% 15.89/15.93 inference(scs_inference,[],[62,49,296,118,2,3,10])).
% 15.89/15.93 cnf(339,plain,
% 15.89/15.93 (~E(f2(a1,a1),f2(f6(a3,a1),a1))),
% 15.89/15.93 inference(scs_inference,[],[42,45,331,2,3])).
% 15.89/15.93 cnf(342,plain,
% 15.89/15.93 (E(a1,f5(a1,f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[65,66,59,2,3])).
% 15.89/15.93 cnf(346,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f2(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[339,2])).
% 15.89/15.93 cnf(347,plain,
% 15.89/15.93 (~E(f2(f4(f4(a1)),f6(a3,a1)),f2(f4(a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[43,339,325,2,3])).
% 15.89/15.93 cnf(350,plain,
% 15.89/15.93 (~E(f5(a1,a1),f2(f6(a3,a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[66,297,238,2,3])).
% 15.89/15.93 cnf(351,plain,
% 15.89/15.93 (E(f5(x3511,a1),f5(x3511,f5(a1,f4(a1))))),
% 15.89/15.93 inference(scs_inference,[],[66,297,238,342,2,3,10])).
% 15.89/15.93 cnf(352,plain,
% 15.89/15.93 (E(f6(a1,x3521),f6(f5(a1,f4(a1)),x3521))),
% 15.89/15.93 inference(scs_inference,[],[66,297,238,342,2,3,10,7])).
% 15.89/15.93 cnf(354,plain,
% 15.89/15.93 (E(f5(a1,x3541),f5(f5(a1,f4(a1)),x3541))),
% 15.89/15.93 inference(scs_inference,[],[66,297,238,342,2,3,10,7,5,9])).
% 15.89/15.93 cnf(355,plain,
% 15.89/15.93 (E(f6(x3551,a1),f6(x3551,f5(a1,f4(a1))))),
% 15.89/15.93 inference(scs_inference,[],[66,297,238,342,2,3,10,7,5,9,8])).
% 15.89/15.93 cnf(357,plain,
% 15.89/15.93 (E(f6(f2(x3571,x3571),f4(f4(x3572))),f6(x3571,x3572))),
% 15.89/15.93 inference(scs_inference,[],[69,53,347,2,3])).
% 15.89/15.93 cnf(360,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),a1),f5(f4(a1),f4(a1)))),
% 15.89/15.93 inference(scs_inference,[],[66,357,257,2,3])).
% 15.89/15.93 cnf(362,plain,
% 15.89/15.93 (~E(f2(f6(a3,a1),f4(a1)),f5(a1,a1))),
% 15.89/15.93 inference(scs_inference,[],[350,2])).
% 15.89/15.93 cnf(367,plain,
% 15.89/15.94 (E(x3671,f4(f4(f5(a1,x3671))))),
% 15.89/15.94 inference(scs_inference,[],[47,59,133,2,3])).
% 15.89/15.94 cnf(378,plain,
% 15.89/15.94 (~E(f5(a1,f2(f6(a3,a1),a1)),f2(a1,a1))),
% 15.89/15.94 inference(scs_inference,[],[59,333,346,2,3])).
% 15.89/15.94 cnf(396,plain,
% 15.89/15.94 (~E(f2(f6(a3,a1),f4(a1)),a1)),
% 15.89/15.94 inference(scs_inference,[],[59,362,378,2,3,10])).
% 15.89/15.94 cnf(398,plain,
% 15.89/15.94 (E(f5(f2(x3981,x3981),f2(x3982,x3982)),f5(x3981,x3982))),
% 15.89/15.94 inference(scs_inference,[],[73,74,367,2,3])).
% 15.89/15.94 cnf(401,plain,
% 15.89/15.94 (~E(f2(a1,f6(a3,a1)),f5(f2(a1,a1),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[74,60,360,2,3])).
% 15.89/15.94 cnf(404,plain,
% 15.89/15.94 (~E(f5(a1,f2(a1,f6(a3,a1))),f5(a1,a1))),
% 15.89/15.94 inference(scs_inference,[],[59,398,135,2,3])).
% 15.89/15.94 cnf(411,plain,
% 15.89/15.94 (E(f6(f2(x4111,x4111),f2(x4112,x4112)),f6(x4111,x4112))),
% 15.89/15.94 inference(scs_inference,[],[75,69,396,2,3])).
% 15.89/15.94 cnf(414,plain,
% 15.89/15.94 (~E(f2(a1,f6(a3,a1)),f2(f2(f4(a1),f4(a1)),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[77,71,411,2,3])).
% 15.89/15.94 cnf(417,plain,
% 15.89/15.94 (~E(f5(a1,f2(a1,f6(a3,a1))),f2(a1,a1))),
% 15.89/15.94 inference(scs_inference,[],[59,404,218,2,3])).
% 15.89/15.94 cnf(424,plain,
% 15.89/15.94 (~E(f5(a1,f4(a1)),f2(f6(a1,a1),f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[62,321,417,2,3])).
% 15.89/15.94 cnf(438,plain,
% 15.89/15.94 (~E(f4(a1),f4(f4(a3)))),
% 15.89/15.94 inference(scs_inference,[],[79,424,303,2,3,7])).
% 15.89/15.94 cnf(441,plain,
% 15.89/15.94 (E(f2(x4411,x4411),f6(f2(x4411,x4411),x4411))),
% 15.89/15.94 inference(scs_inference,[],[75,83,79,438,4,2,3])).
% 15.89/15.94 cnf(451,plain,
% 15.89/15.94 (~E(f4(a1),f2(f2(a1,a1),f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[56,71,401,2,3])).
% 15.89/15.94 cnf(454,plain,
% 15.89/15.94 (~E(f6(f4(a1),f4(a1)),f2(f2(a1,a1),f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[79,441,451,2,3])).
% 15.89/15.94 cnf(456,plain,
% 15.89/15.94 (~E(f2(f2(a1,a1),f6(a3,a1)),f6(f4(a1),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[454,2])).
% 15.89/15.94 cnf(461,plain,
% 15.89/15.94 (~E(f2(f6(a3,a1),a1),f5(f4(x4611),f2(x4611,x4611)))),
% 15.89/15.94 inference(scs_inference,[],[73,87,163,2,3])).
% 15.89/15.94 cnf(464,plain,
% 15.89/15.94 (~E(f5(a1,f2(f6(a3,a1),f4(a1))),f4(a1))),
% 15.89/15.94 inference(scs_inference,[],[59,461,143,2,3])).
% 15.89/15.94 cnf(476,plain,
% 15.89/15.94 (E(f6(f2(x4761,x4761),f5(f4(x4762),x4762)),f6(x4761,a1))),
% 15.89/15.94 inference(scs_inference,[],[89,69,414,2,3])).
% 15.89/15.94 cnf(505,plain,
% 15.89/15.94 (~E(f5(f4(x5051),x5051),f4(f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[86,464,278,2,3])).
% 15.89/15.94 cnf(507,plain,
% 15.89/15.94 (E(f2(f2(x5071,x5071),f5(f4(x5072),x5072)),f2(x5071,a1))),
% 15.89/15.94 inference(scs_inference,[],[71,91,476,2,3])).
% 15.89/15.94 cnf(510,plain,
% 15.89/15.94 (~E(f2(f6(a3,a1),a1),f2(f2(f4(a1),f4(a1)),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[71,80,505,2,3])).
% 15.89/15.94 cnf(513,plain,
% 15.89/15.94 (~E(f6(f6(a3,a1),f6(a3,a1)),a1)),
% 15.89/15.94 inference(scs_inference,[],[79,507,179,2,3])).
% 15.89/15.94 cnf(516,plain,
% 15.89/15.94 (E(f5(f2(x5161,x5161),f5(f4(x5162),x5162)),f5(x5161,a1))),
% 15.89/15.94 inference(scs_inference,[],[94,74,510,2,3])).
% 15.89/15.94 cnf(520,plain,
% 15.89/15.94 (~E(f2(a1,f6(a3,a1)),f5(f4(x5201),f2(x5201,x5201)))),
% 15.89/15.94 inference(scs_inference,[],[73,96,516,2,3])).
% 15.89/15.94 cnf(523,plain,
% 15.89/15.94 (~E(f6(f4(a1),f4(a1)),f4(f4(a3)))),
% 15.89/15.94 inference(scs_inference,[],[79,520,438,2,3])).
% 15.89/15.94 cnf(526,plain,
% 15.89/15.94 (E(f6(f5(f4(x5261),x5261),f2(x5262,x5262)),f6(a1,x5262))),
% 15.89/15.94 inference(scs_inference,[],[90,75,326,2,3])).
% 15.89/15.94 cnf(529,plain,
% 15.89/15.94 (~E(f2(f2(a1,a1),f6(a3,a1)),f6(a1,f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[98,456,523,2,3])).
% 15.89/15.94 cnf(535,plain,
% 15.89/15.94 (E(f6(a1,f2(x5351,x5351)),f6(f4(a1),x5351))),
% 15.89/15.94 inference(scs_inference,[],[75,98,529,2,3])).
% 15.89/15.94 cnf(539,plain,
% 15.89/15.94 (~E(f2(f2(a1,a1),f6(a3,a1)),f6(f5(f4(x5391),x5391),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[90,526,529,2,3])).
% 15.89/15.94 cnf(565,plain,
% 15.89/15.94 (E(f6(a1,f4(a1)),f5(f4(x5651),x5651))),
% 15.89/15.94 inference(scs_inference,[],[83,86,351,2,3])).
% 15.89/15.94 cnf(567,plain,
% 15.89/15.94 (~E(f6(f6(a3,a1),f6(a3,a1)),f6(a1,f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[83,539,513,2,3])).
% 15.89/15.94 cnf(569,plain,
% 15.89/15.94 (~E(f5(f4(f6(x5691,x5692)),f6(x5692,x5691)),f2(a1,f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[109,102,565,2,3])).
% 15.89/15.94 cnf(572,plain,
% 15.89/15.94 (~E(f2(a1,f6(a3,a1)),f5(f4(f6(x5721,x5722)),f6(x5722,x5721)))),
% 15.89/15.94 inference(scs_inference,[],[569,2])).
% 15.89/15.94 cnf(577,plain,
% 15.89/15.94 (~E(f5(f4(x5771),x5771),f4(f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[108,352,505,2,3])).
% 15.89/15.94 cnf(579,plain,
% 15.89/15.94 (~E(f6(a1,f4(a1)),f6(f6(a3,a1),f6(a3,a1)))),
% 15.89/15.94 inference(scs_inference,[],[567,2])).
% 15.89/15.94 cnf(580,plain,
% 15.89/15.94 (~E(f2(f4(a1),f6(a3,a1)),f5(f4(f6(x5801,x5802)),f6(x5802,x5801)))),
% 15.89/15.94 inference(scs_inference,[],[105,572,567,2,3])).
% 15.89/15.94 cnf(587,plain,
% 15.89/15.94 (~E(f6(a1,f4(a1)),f6(f6(a3,a1),f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[111,580,579,2,3])).
% 15.89/15.94 cnf(590,plain,
% 15.89/15.94 (~E(f6(f4(a1),f4(a1)),f6(f6(a3,a1),f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[98,587,354,2,3])).
% 15.89/15.94 cnf(597,plain,
% 15.89/15.94 (~E(f2(f4(a1),f4(a1)),f2(a1,f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[113,106,355,2,3])).
% 15.89/15.94 cnf(600,plain,
% 15.89/15.94 (~E(f2(a1,f6(a1,a3)),f5(f4(x6001),x6001))),
% 15.89/15.94 inference(scs_inference,[],[113,96,590,2,3])).
% 15.89/15.94 cnf(606,plain,
% 15.89/15.94 (~E(f5(f4(x6061),x6061),f2(a1,f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[600,2])).
% 15.89/15.94 cnf(613,plain,
% 15.89/15.94 (E(f2(f5(f4(x6131),x6131),f6(x6132,x6133)),f2(a1,f6(x6133,x6132)))),
% 15.89/15.94 inference(scs_inference,[],[92,113,597,2,3])).
% 15.89/15.94 cnf(617,plain,
% 15.89/15.94 (~E(f6(f4(a1),f4(a1)),f6(f6(a1,a3),f6(a1,a3)))),
% 15.89/15.94 inference(scs_inference,[],[112,613,590,2,3])).
% 15.89/15.94 cnf(619,plain,
% 15.89/15.94 (~E(f6(f6(a1,a3),f6(a1,a3)),f6(f4(a1),f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[617,2])).
% 15.89/15.94 cnf(631,plain,
% 15.89/15.94 (~E(f5(f4(f6(x6311,x6312)),f6(x6312,x6311)),f2(f6(a3,a1),a1))),
% 15.89/15.94 inference(scs_inference,[],[95,109,535,2,3])).
% 15.89/15.94 cnf(634,plain,
% 15.89/15.94 (~E(f2(f6(a3,a1),a1),f5(f4(f6(x6341,x6342)),f6(x6342,x6341)))),
% 15.89/15.94 inference(scs_inference,[],[631,2])).
% 15.89/15.94 cnf(650,plain,
% 15.89/15.94 (~E(f6(f6(a1,a3),f6(a1,a3)),f6(a1,f4(a1)))),
% 15.89/15.94 inference(scs_inference,[],[98,619,577,2,3])).
% 15.89/15.94 cnf(664,plain,
% 15.89/15.94 (~E(f2(f6(a1,a3),a1),f5(f4(f6(x6641,x6642)),f6(x6642,x6641)))),
% 15.89/15.94 inference(scs_inference,[],[114,634,650,2,3])).
% 15.89/15.94 cnf(728,plain,
% 15.89/15.94 (~E(f2(a1,f6(a1,a3)),f5(a1,a1))),
% 15.89/15.94 inference(scs_inference,[],[113,135,664,2,3])).
% 15.89/15.94 cnf(735,plain,
% 15.89/15.94 ($false),
% 15.89/15.94 inference(scs_inference,[],[118,728,606,16,2,3]),
% 15.89/15.94 ['proof']).
% 15.89/15.94 % SZS output end Proof
% 15.89/15.94 % Total time :15.290000s
%------------------------------------------------------------------------------