TSTP Solution File: GRP493-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 00:12:14 EDT 2023
% Result : Unsatisfiable 61.71s 61.95s
% Output : CNFRefutation 61.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 02:58:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 61.68/61.93 %-------------------------------------------
% 61.68/61.93 % File :CSE---1.6
% 61.68/61.93 % Problem :theBenchmark
% 61.68/61.93 % Transform :cnf
% 61.68/61.93 % Format :tptp:raw
% 61.68/61.93 % Command :java -jar mcs_scs.jar %d %s
% 61.68/61.93
% 61.68/61.93 % Result :Theorem 61.130000s
% 61.68/61.93 % Output :CNFRefutation 61.130000s
% 61.68/61.93 %-------------------------------------------
% 61.71/61.95 %--------------------------------------------------------------------------
% 61.71/61.95 % File : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% 61.71/61.95 % Domain : Group Theory
% 61.71/61.95 % Problem : Axiom for group theory, in double division and identity, part 1
% 61.71/61.95 % Version : [McC93] (equality) axioms.
% 61.71/61.95 % English :
% 61.71/61.95
% 61.71/61.95 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 61.71/61.95 % Source : [TPTP]
% 61.71/61.95 % Names :
% 61.71/61.95
% 61.71/61.95 % Status : Unsatisfiable
% 61.71/61.95 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 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, 0.14 v5.5.0, 0.11 v5.4.0, 0.00 v2.6.0
% 61.71/61.95 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 61.71/61.95 % Number of literals : 5 ( 5 equ; 1 neg)
% 61.71/61.95 % Maximal clause size : 1 ( 1 avg)
% 61.71/61.95 % Maximal term depth : 5 ( 2 avg)
% 61.71/61.95 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 61.71/61.95 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 61.71/61.95 % Number of variables : 7 ( 0 sgn)
% 61.71/61.95 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 61.71/61.95
% 61.71/61.95 % Comments : A UEQ part of GRP079-1
% 61.71/61.95 %--------------------------------------------------------------------------
% 61.71/61.95 cnf(single_axiom,axiom,
% 61.71/61.95 double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B ).
% 61.71/61.95
% 61.71/61.95 cnf(multiply,axiom,
% 61.71/61.95 multiply(A,B) = double_divide(double_divide(B,A),identity) ).
% 61.71/61.95
% 61.71/61.95 cnf(inverse,axiom,
% 61.71/61.95 inverse(A) = double_divide(A,identity) ).
% 61.71/61.95
% 61.71/61.95 cnf(identity,axiom,
% 61.71/61.95 identity = double_divide(A,inverse(A)) ).
% 61.71/61.95
% 61.71/61.95 cnf(prove_these_axioms_1,negated_conjecture,
% 61.71/61.95 multiply(inverse(a1),a1) != identity ).
% 61.71/61.95
% 61.71/61.95 %--------------------------------------------------------------------------
% 61.71/61.95 %-------------------------------------------
% 61.71/61.95 % Proof found
% 61.71/61.95 % SZS status Theorem for theBenchmark
% 61.71/61.95 % SZS output start Proof
% 61.71/61.96 %ClaNum:8(EqnAxiom:5)
% 61.71/61.96 %VarNum:8(SingletonVarNum:4)
% 61.71/61.96 %MaxLitNum:1
% 61.71/61.96 %MaxfuncDepth:3
% 61.71/61.96 %SharedTerms:7
% 61.71/61.96 %goalClause: 8
% 61.71/61.96 %singleGoalClaCount:1
% 61.71/61.96 [8]~E(f2(f2(a3,f2(a3,a1)),a1),a1)
% 61.71/61.96 [6]E(f2(x61,f2(x61,a1)),a1)
% 61.71/61.96 [7]E(f2(f2(a1,x71),f2(f2(f2(x72,x73),f2(a1,a1)),f2(x71,x73))),x72)
% 61.71/61.96 %EqnAxiom
% 61.71/61.96 [1]E(x11,x11)
% 61.71/61.96 [2]E(x22,x21)+~E(x21,x22)
% 61.71/61.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 61.71/61.96 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 61.71/61.96 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 61.71/61.96
% 61.71/61.96 %-------------------------------------------
% 61.71/61.98 cnf(9,plain,
% 61.71/61.98 (E(a1,f2(x91,f2(x91,a1)))),
% 61.71/61.98 inference(scs_inference,[],[6,2])).
% 61.71/61.98 cnf(10,plain,
% 61.71/61.98 (~E(f2(f2(a3,f2(a3,a1)),a1),f2(x101,f2(x101,a1)))),
% 61.71/61.98 inference(scs_inference,[],[8,6,2,3])).
% 61.71/61.98 cnf(11,plain,
% 61.71/61.98 (E(f2(x111,f2(x112,f2(x112,a1))),f2(x111,a1))),
% 61.71/61.98 inference(scs_inference,[],[8,6,2,3,5])).
% 61.71/61.98 cnf(12,plain,
% 61.71/61.98 (E(f2(f2(x121,f2(x121,a1)),x122),f2(a1,x122))),
% 61.71/61.98 inference(scs_inference,[],[8,6,2,3,5,4])).
% 61.71/61.98 cnf(13,plain,
% 61.71/61.98 (~E(f2(a1,a1),a1)),
% 61.71/61.98 inference(scs_inference,[],[8,12,3])).
% 61.71/61.98 cnf(15,plain,
% 61.71/61.98 (~E(a1,f2(f2(a3,f2(a3,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[8,12,3,2])).
% 61.71/61.98 cnf(16,plain,
% 61.71/61.98 (E(x161,f2(f2(a1,x162),f2(f2(f2(x161,x163),f2(a1,a1)),f2(x162,x163))))),
% 61.71/61.98 inference(scs_inference,[],[7,2])).
% 61.71/61.98 cnf(17,plain,
% 61.71/61.98 (E(f2(x171,f2(x171,a1)),f2(x172,f2(x172,a1)))),
% 61.71/61.98 inference(scs_inference,[],[6,9,7,2,3])).
% 61.71/61.98 cnf(18,plain,
% 61.71/61.98 (~E(f2(a1,a1),f2(x181,f2(x181,a1)))),
% 61.71/61.98 inference(scs_inference,[],[6,13,3])).
% 61.71/61.98 cnf(19,plain,
% 61.71/61.98 (~E(f2(x191,f2(x191,a1)),f2(f2(a3,f2(a3,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[6,10,13,3,2])).
% 61.71/61.98 cnf(20,plain,
% 61.71/61.98 (~E(a1,f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[6,10,13,3,2,5])).
% 61.71/61.98 cnf(21,plain,
% 61.71/61.98 (E(f2(x211,a1),f2(x211,f2(x212,f2(x212,a1))))),
% 61.71/61.98 inference(scs_inference,[],[9,5])).
% 61.71/61.98 cnf(22,plain,
% 61.71/61.98 (~E(f2(x221,f2(x221,a1)),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[9,20,5,3])).
% 61.71/61.98 cnf(23,plain,
% 61.71/61.98 (E(f2(a1,x231),f2(f2(x232,f2(x232,a1)),x231))),
% 61.71/61.98 inference(scs_inference,[],[9,20,12,5,3,2])).
% 61.71/61.98 cnf(24,plain,
% 61.71/61.98 (E(f2(f2(a1,x241),f2(f2(f2(a1,x242),f2(a1,a1)),f2(x241,x242))),f2(x243,f2(x243,a1)))),
% 61.71/61.98 inference(scs_inference,[],[7,9,3])).
% 61.71/61.98 cnf(26,plain,
% 61.71/61.98 (~E(a1,f2(f2(a3,f2(a3,a1)),f2(x261,f2(x261,a1))))),
% 61.71/61.98 inference(scs_inference,[],[11,15,3])).
% 61.71/61.98 cnf(29,plain,
% 61.71/61.98 (E(f2(x291,f2(x291,a1)),f2(f2(a1,x292),f2(f2(f2(a1,x293),f2(a1,a1)),f2(x292,x293))))),
% 61.71/61.98 inference(scs_inference,[],[24,2])).
% 61.71/61.98 cnf(30,plain,
% 61.71/61.98 (~E(f2(x301,f2(x301,a1)),f2(f2(a3,f2(a3,a1)),f2(x302,f2(x302,a1))))),
% 61.71/61.98 inference(scs_inference,[],[9,24,26,2,3])).
% 61.71/61.98 cnf(32,plain,
% 61.71/61.98 (E(f2(f2(x321,f2(x321,a1)),f2(x322,f2(x322,a1))),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[11,12,30,2,3])).
% 61.71/61.98 cnf(35,plain,
% 61.71/61.98 (E(f2(a1,a1),f2(f2(x351,f2(x351,a1)),f2(x352,f2(x352,a1))))),
% 61.71/61.98 inference(scs_inference,[],[32,2])).
% 61.71/61.98 cnf(36,plain,
% 61.71/61.98 (~E(f2(x361,f2(x361,a1)),f2(a1,f2(x362,f2(x362,a1))))),
% 61.71/61.98 inference(scs_inference,[],[11,32,22,2,3])).
% 61.71/61.98 cnf(38,plain,
% 61.71/61.98 (~E(f2(f2(x381,f2(x381,a1)),f2(x382,f2(x382,a1))),a1)),
% 61.71/61.98 inference(scs_inference,[],[13,35,3])).
% 61.71/61.98 cnf(39,plain,
% 61.71/61.98 (~E(f2(a1,f2(x391,f2(x391,a1))),f2(x392,f2(x392,a1)))),
% 61.71/61.98 inference(scs_inference,[],[13,35,36,3,2])).
% 61.71/61.98 cnf(40,plain,
% 61.71/61.98 (~E(a1,f2(f2(x401,f2(x401,a1)),f2(x402,f2(x402,a1))))),
% 61.71/61.98 inference(scs_inference,[],[38,2])).
% 61.71/61.98 cnf(41,plain,
% 61.71/61.98 (~E(a1,f2(f2(x411,f2(x411,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[21,40,3])).
% 61.71/61.98 cnf(43,plain,
% 61.71/61.98 (~E(f2(f2(a1,x431),f2(f2(f2(f2(a1,a1),x432),f2(a1,a1)),f2(x431,x432))),a1)),
% 61.71/61.98 inference(scs_inference,[],[13,16,3])).
% 61.71/61.98 cnf(45,plain,
% 61.71/61.98 (~E(a1,f2(f2(a1,x451),f2(f2(f2(f2(a1,a1),x452),f2(a1,a1)),f2(x451,x452))))),
% 61.71/61.98 inference(scs_inference,[],[43,2])).
% 61.71/61.98 cnf(46,plain,
% 61.71/61.98 (E(f2(f2(x461,f2(x461,a1)),f2(a1,a1)),f2(x462,f2(x462,a1)))),
% 61.71/61.98 inference(scs_inference,[],[17,12,3])).
% 61.71/61.98 cnf(49,plain,
% 61.71/61.98 (E(f2(x491,f2(x491,a1)),f2(f2(x492,f2(x492,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[17,12,3,2])).
% 61.71/61.98 cnf(50,plain,
% 61.71/61.98 (~E(f2(f2(x501,f2(x501,a1)),a1),a1)),
% 61.71/61.98 inference(scs_inference,[],[41,2])).
% 61.71/61.98 cnf(51,plain,
% 61.71/61.98 (~E(f2(a1,a1),f2(f2(x511,f2(x511,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[18,46,41,2,3])).
% 61.71/61.98 cnf(53,plain,
% 61.71/61.98 (~E(f2(f2(x531,f2(x531,a1)),f2(a1,a1)),f2(f2(a3,f2(a3,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[19,49,3])).
% 61.71/61.98 cnf(55,plain,
% 61.71/61.98 (~E(f2(f2(x551,f2(x551,a1)),f2(a1,a1)),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[51,2])).
% 61.71/61.98 cnf(56,plain,
% 61.71/61.98 (~E(a1,f2(a1,f2(x561,f2(x561,a1))))),
% 61.71/61.98 inference(scs_inference,[],[20,51,11,2,3])).
% 61.71/61.98 cnf(58,plain,
% 61.71/61.98 (~E(f2(f2(a1,x581),f2(f2(f2(a1,x582),f2(a1,a1)),f2(x581,x582))),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[20,16,3])).
% 61.71/61.98 cnf(66,plain,
% 61.71/61.98 (~E(f2(a1,a1),f2(f2(a1,x661),f2(f2(f2(a1,x662),f2(a1,a1)),f2(x661,x662))))),
% 61.71/61.98 inference(scs_inference,[],[23,58,39,3,2])).
% 61.71/61.98 cnf(67,plain,
% 61.71/61.98 (E(a1,f2(f2(x671,f2(x671,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[23,9,3])).
% 61.71/61.98 cnf(70,plain,
% 61.71/61.98 (E(f2(x701,a1),f2(x701,f2(f2(x702,f2(x702,a1)),f2(a1,a1))))),
% 61.71/61.98 inference(scs_inference,[],[23,9,3,5])).
% 61.71/61.98 cnf(71,plain,
% 61.71/61.98 (E(f2(f2(x711,f2(x711,a1)),f2(a1,a1)),a1)),
% 61.71/61.98 inference(scs_inference,[],[23,9,3,5,2])).
% 61.71/61.98 cnf(72,plain,
% 61.71/61.98 (E(f2(a1,x721),f2(f2(f2(x722,f2(x722,a1)),f2(a1,a1)),x721))),
% 61.71/61.98 inference(scs_inference,[],[23,9,3,5,2,4])).
% 61.71/61.98 cnf(74,plain,
% 61.71/61.98 (E(f2(a1,a1),f2(f2(x741,f2(x741,a1)),f2(f2(x742,f2(x742,a1)),f2(a1,a1))))),
% 61.71/61.98 inference(scs_inference,[],[23,70,53,2,3])).
% 61.71/61.98 cnf(77,plain,
% 61.71/61.98 (E(f2(f2(x771,f2(x771,a1)),f2(f2(x772,f2(x772,a1)),f2(a1,a1))),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[74,2])).
% 61.71/61.98 cnf(78,plain,
% 61.71/61.98 (~E(f2(f2(x781,f2(x781,a1)),f2(f2(x782,f2(x782,a1)),f2(a1,a1))),a1)),
% 61.71/61.98 inference(scs_inference,[],[74,50,70,2,3])).
% 61.71/61.98 cnf(80,plain,
% 61.71/61.98 (~E(a1,f2(f2(x801,f2(x801,a1)),f2(f2(x802,f2(x802,a1)),f2(a1,a1))))),
% 61.71/61.98 inference(scs_inference,[],[78,2])).
% 61.71/61.98 cnf(81,plain,
% 61.71/61.98 (E(f2(f2(f2(x811,f2(x811,a1)),f2(a1,a1)),x812),f2(a1,x812))),
% 61.71/61.98 inference(scs_inference,[],[72,2])).
% 61.71/61.98 cnf(82,plain,
% 61.71/61.98 (E(f2(x821,f2(f2(x822,f2(x822,a1)),f2(a1,a1))),f2(x821,a1))),
% 61.71/61.98 inference(scs_inference,[],[72,71,2,5])).
% 61.71/61.98 cnf(83,plain,
% 61.71/61.98 (~E(f2(a1,f2(x831,f2(x831,a1))),a1)),
% 61.71/61.98 inference(scs_inference,[],[56,2])).
% 61.71/61.98 cnf(85,plain,
% 61.71/61.98 (~E(f2(f2(x851,f2(x851,a1)),f2(a1,a1)),f2(f2(x852,f2(x852,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[67,41,3])).
% 61.71/61.98 cnf(87,plain,
% 61.71/61.98 (E(f2(f2(f2(x871,f2(x871,a1)),f2(a1,a1)),f2(x872,f2(x872,a1))),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[81,11,3])).
% 61.71/61.98 cnf(90,plain,
% 61.71/61.98 (E(f2(a1,a1),f2(f2(f2(x901,f2(x901,a1)),f2(a1,a1)),f2(x902,f2(x902,a1))))),
% 61.71/61.98 inference(scs_inference,[],[87,2])).
% 61.71/61.98 cnf(91,plain,
% 61.71/61.98 (~E(f2(f2(x911,f2(x911,a1)),a1),f2(f2(x912,f2(x912,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[87,50,71,2,3])).
% 61.71/61.98 cnf(92,plain,
% 61.71/61.98 (~E(f2(f2(x921,f2(x921,a1)),a1),f2(x922,f2(x922,a1)))),
% 61.71/61.98 inference(scs_inference,[],[91,49,3])).
% 61.71/61.98 cnf(94,plain,
% 61.71/61.98 (~E(f2(x941,f2(x941,a1)),f2(f2(x942,f2(x942,a1)),a1))),
% 61.71/61.98 inference(scs_inference,[],[92,2])).
% 61.71/61.98 cnf(95,plain,
% 61.71/61.98 (~E(f2(f2(f2(x951,f2(x951,a1)),f2(a1,a1)),f2(x952,f2(x952,a1))),a1)),
% 61.71/61.98 inference(scs_inference,[],[92,72,83,2,3])).
% 61.71/61.98 cnf(97,plain,
% 61.71/61.98 (E(f2(f2(f2(x971,f2(x971,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x972,f2(x972,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[49,81,3])).
% 61.71/61.98 cnf(100,plain,
% 61.71/61.98 (E(f2(f2(x1001,f2(x1001,a1)),f2(a1,a1)),f2(f2(f2(x1002,f2(x1002,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[97,2])).
% 61.71/61.98 cnf(101,plain,
% 61.71/61.98 (~E(f2(a1,a1),f2(f2(f2(x1011,f2(x1011,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[97,51,2,3])).
% 61.71/61.98 cnf(103,plain,
% 61.71/61.98 (~E(f2(f2(f2(x1031,f2(x1031,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1))),
% 61.71/61.98 inference(scs_inference,[],[101,2])).
% 61.71/61.98 cnf(104,plain,
% 61.71/61.98 (~E(a1,f2(f2(f2(x1041,f2(x1041,a1)),f2(a1,a1)),f2(x1042,f2(x1042,a1))))),
% 61.71/61.98 inference(scs_inference,[],[95,2])).
% 61.71/61.98 cnf(105,plain,
% 61.71/61.98 (E(a1,f2(f2(f2(x1051,f2(x1051,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.98 inference(scs_inference,[],[100,67,3])).
% 61.71/61.98 cnf(107,plain,
% 61.71/61.98 (E(f2(a1,x1071),f2(f2(f2(f2(x1072,f2(x1072,a1)),f2(a1,a1)),f2(a1,a1)),x1071))),
% 61.71/61.98 inference(scs_inference,[],[100,67,3,4])).
% 61.71/61.98 cnf(109,plain,
% 61.71/61.98 (E(f2(f2(f2(x1091,f2(x1091,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 61.71/61.98 inference(scs_inference,[],[100,67,3,4,5,2])).
% 61.71/61.98 cnf(110,plain,
% 61.71/61.98 (E(f2(f2(f2(f2(x1101,f2(x1101,a1)),f2(a1,a1)),f2(a1,a1)),x1102),f2(a1,x1102))),
% 61.71/61.99 inference(scs_inference,[],[109,4])).
% 61.71/61.99 cnf(112,plain,
% 61.71/61.99 (E(f2(x1121,f2(x1121,a1)),f2(f2(f2(x1122,f2(x1122,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[105,6,3])).
% 61.71/61.99 cnf(114,plain,
% 61.71/61.99 (~E(a1,f2(a1,f2(f2(x1141,f2(x1141,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[80,23,3])).
% 61.71/61.99 cnf(116,plain,
% 61.71/61.99 (~E(f2(a1,f2(f2(x1161,f2(x1161,a1)),f2(a1,a1))),a1)),
% 61.71/61.99 inference(scs_inference,[],[114,2])).
% 61.71/61.99 cnf(117,plain,
% 61.71/61.99 (~E(f2(a1,f2(f2(x1171,f2(x1171,a1)),f2(a1,a1))),f2(x1172,f2(x1172,a1)))),
% 61.71/61.99 inference(scs_inference,[],[116,6,3])).
% 61.71/61.99 cnf(118,plain,
% 61.71/61.99 (~E(f2(x1181,f2(x1181,a1)),f2(a1,f2(f2(x1182,f2(x1182,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[117,2])).
% 61.71/61.99 cnf(119,plain,
% 61.71/61.99 (~E(a1,f2(f2(f2(x1191,f2(x1191,a1)),f2(a1,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[104,21,3])).
% 61.71/61.99 cnf(121,plain,
% 61.71/61.99 (~E(f2(f2(f2(x1211,f2(x1211,a1)),f2(a1,a1)),a1),a1)),
% 61.71/61.99 inference(scs_inference,[],[119,2])).
% 61.71/61.99 cnf(125,plain,
% 61.71/61.99 (E(a1,f2(f2(f2(f2(x1251,f2(x1251,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[107,9,3])).
% 61.71/61.99 cnf(128,plain,
% 61.71/61.99 (E(f2(f2(f2(f2(x1281,f2(x1281,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),a1)),
% 61.71/61.99 inference(scs_inference,[],[125,2])).
% 61.71/61.99 cnf(129,plain,
% 61.71/61.99 (~E(f2(f2(f2(x1291,f2(x1291,a1)),f2(a1,a1)),a1),f2(x1292,f2(x1292,a1)))),
% 61.71/61.99 inference(scs_inference,[],[125,121,6,2,3])).
% 61.71/61.99 cnf(133,plain,
% 61.71/61.99 (E(f2(x1331,f2(x1331,a1)),f2(f2(f2(f2(x1332,f2(x1332,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[125,6,3])).
% 61.71/61.99 cnf(134,plain,
% 61.71/61.99 (~E(f2(x1341,f2(x1341,a1)),f2(f2(f2(x1342,f2(x1342,a1)),f2(a1,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[129,125,6,3,2])).
% 61.71/61.99 cnf(135,plain,
% 61.71/61.99 (E(f2(f2(f2(f2(x1351,f2(x1351,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(x1352,f2(x1352,a1)))),
% 61.71/61.99 inference(scs_inference,[],[133,2])).
% 61.71/61.99 cnf(139,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(x1391,f2(x1391,a1)),f2(a1,a1)),f2(a1,a1)),a1),a1)),
% 61.71/61.99 inference(scs_inference,[],[20,110,3,2])).
% 61.71/61.99 cnf(140,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(x1401,f2(x1401,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1402,f2(x1402,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[107,94,3])).
% 61.71/61.99 cnf(145,plain,
% 61.71/61.99 (E(f2(a1,x1451),f2(f2(f2(f2(f2(x1452,f2(x1452,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),x1451))),
% 61.71/61.99 inference(scs_inference,[],[107,94,128,3,4,5,2])).
% 61.71/61.99 cnf(154,plain,
% 61.71/61.99 (E(f2(f2(f2(x1541,f2(x1541,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(a1,x1542),f2(f2(f2(a1,x1543),f2(a1,a1)),f2(x1542,x1543))))),
% 61.71/61.99 inference(scs_inference,[],[109,16,3])).
% 61.71/61.99 cnf(156,plain,
% 61.71/61.99 (E(f2(f2(x1561,f2(x1561,a1)),x1562),f2(f2(x1563,f2(x1563,a1)),x1562))),
% 61.71/61.99 inference(scs_inference,[],[109,17,16,3,4])).
% 61.71/61.99 cnf(157,plain,
% 61.71/61.99 (E(f2(x1571,f2(x1572,f2(x1572,a1))),f2(x1571,f2(x1573,f2(x1573,a1))))),
% 61.71/61.99 inference(scs_inference,[],[109,17,16,3,4,5])).
% 61.71/61.99 cnf(160,plain,
% 61.71/61.99 (~E(f2(f2(f2(x1601,f2(x1601,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,f2(f2(x1602,f2(x1602,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[103,154,82,2,3])).
% 61.71/61.99 cnf(162,plain,
% 61.71/61.99 (~E(f2(a1,f2(f2(x1621,f2(x1621,a1)),f2(a1,a1))),f2(f2(f2(x1622,f2(x1622,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[160,2])).
% 61.71/61.99 cnf(163,plain,
% 61.71/61.99 (~E(f2(f2(f2(x1631,f2(x1631,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x1632,f2(x1632,a1)),f2(a1,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[112,160,134,2,3])).
% 61.71/61.99 cnf(165,plain,
% 61.71/61.99 (E(f2(f2(f2(f2(x1651,f2(x1651,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(x1652,f2(x1652,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[112,135,3])).
% 61.71/61.99 cnf(167,plain,
% 61.71/61.99 (E(f2(f2(f2(x1671,f2(x1671,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(f2(f2(x1672,f2(x1672,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[112,135,3,2])).
% 61.71/61.99 cnf(169,plain,
% 61.71/61.99 (~E(f2(f2(x1691,f2(x1691,a1)),f2(a1,a1)),f2(f2(x1692,f2(x1692,a1)),f2(f2(x1693,f2(x1693,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[55,77,163,2,3])).
% 61.71/61.99 cnf(170,plain,
% 61.71/61.99 (E(f2(f2(f2(x1701,f2(x1701,a1)),f2(a1,a1)),x1702),f2(f2(x1703,f2(x1703,a1)),x1702))),
% 61.71/61.99 inference(scs_inference,[],[55,77,163,46,2,3,4])).
% 61.71/61.99 cnf(171,plain,
% 61.71/61.99 (E(f2(x1711,f2(f2(x1712,f2(x1712,a1)),f2(a1,a1))),f2(x1711,f2(x1713,f2(x1713,a1))))),
% 61.71/61.99 inference(scs_inference,[],[55,77,163,46,2,3,4,5])).
% 61.71/61.99 cnf(172,plain,
% 61.71/61.99 (E(f2(f2(x1721,f2(x1721,a1)),x1722),f2(f2(f2(x1723,f2(x1723,a1)),f2(a1,a1)),x1722))),
% 61.71/61.99 inference(scs_inference,[],[170,2])).
% 61.71/61.99 cnf(173,plain,
% 61.71/61.99 (~E(f2(a1,f2(x1731,f2(x1731,a1))),f2(f2(f2(x1732,f2(x1732,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[170,171,162,2,3])).
% 61.71/61.99 cnf(176,plain,
% 61.71/61.99 (~E(f2(f2(x1761,f2(x1761,a1)),f2(f2(x1762,f2(x1762,a1)),f2(a1,a1))),f2(f2(x1763,f2(x1763,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[169,2])).
% 61.71/61.99 cnf(177,plain,
% 61.71/61.99 (E(f2(f2(x1771,f2(x1771,a1)),f2(a1,a1)),f2(f2(f2(f2(x1772,f2(x1772,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[167,172,169,2,3])).
% 61.71/61.99 cnf(180,plain,
% 61.71/61.99 (~E(f2(x1801,f2(x1801,a1)),f2(f2(f2(x1802,f2(x1802,a1)),f2(a1,a1)),f2(f2(x1803,f2(x1803,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[118,177,81,2,3])).
% 61.71/61.99 cnf(183,plain,
% 61.71/61.99 (~E(f2(f2(f2(x1831,f2(x1831,a1)),f2(a1,a1)),f2(a1,a1)),f2(f2(x1832,f2(x1832,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[165,180,140,2,3])).
% 61.71/61.99 cnf(185,plain,
% 61.71/61.99 (E(f2(f2(x1851,a1),x1852),f2(f2(x1851,f2(x1853,f2(x1853,a1))),x1852))),
% 61.71/61.99 inference(scs_inference,[],[165,180,140,21,2,3,4])).
% 61.71/61.99 cnf(186,plain,
% 61.71/61.99 (E(f2(x1861,f2(x1862,a1)),f2(x1861,f2(x1862,f2(x1863,f2(x1863,a1)))))),
% 61.71/61.99 inference(scs_inference,[],[165,180,140,21,2,3,4,5])).
% 61.71/61.99 cnf(188,plain,
% 61.71/61.99 (E(f2(f2(x1881,f2(x1881,a1)),a1),f2(f2(x1882,f2(x1882,a1)),f2(x1883,f2(x1883,a1))))),
% 61.71/61.99 inference(scs_inference,[],[156,185,21,2,3])).
% 61.71/61.99 cnf(192,plain,
% 61.71/61.99 (~E(f2(a1,a1),f2(f2(a1,x1921),f2(f2(f2(a1,f2(x1921,a1)),f2(a1,a1)),a1)))),
% 61.71/61.99 inference(scs_inference,[],[186,66,173,2,3])).
% 61.71/61.99 cnf(196,plain,
% 61.71/61.99 (~E(f2(f2(x1961,f2(x1961,a1)),f2(x1962,f2(x1962,a1))),f2(f2(x1963,f2(x1963,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[176,188,171,2,3])).
% 61.71/61.99 cnf(200,plain,
% 61.71/61.99 (E(f2(x2001,f2(x2001,a1)),f2(f2(a1,f2(f2(a1,a1),f2(a1,a1))),f2(x2002,f2(x2002,a1))))),
% 61.71/61.99 inference(scs_inference,[],[157,196,29,2,3])).
% 61.71/61.99 cnf(203,plain,
% 61.71/61.99 (E(f2(f2(f2(a1,x2031),f2(f2(f2(x2032,x2033),f2(a1,a1)),f2(x2031,x2033))),x2034),f2(x2032,x2034))),
% 61.71/61.99 inference(scs_inference,[],[157,196,29,7,2,3,4])).
% 61.71/61.99 cnf(204,plain,
% 61.71/61.99 (E(f2(x2041,f2(f2(a1,x2042),f2(f2(f2(x2043,x2044),f2(a1,a1)),f2(x2042,x2044)))),f2(x2041,x2043))),
% 61.71/61.99 inference(scs_inference,[],[157,196,29,7,2,3,4,5])).
% 61.71/61.99 cnf(205,plain,
% 61.71/61.99 (E(f2(x2051,x2052),f2(f2(f2(a1,x2053),f2(f2(f2(x2051,x2054),f2(a1,a1)),f2(x2053,x2054))),x2052))),
% 61.71/61.99 inference(scs_inference,[],[203,2])).
% 61.71/61.99 cnf(209,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(x2091,f2(x2091,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,f2(x2092,f2(x2092,a1))))),
% 61.71/61.99 inference(scs_inference,[],[125,192,56,2,3])).
% 61.71/61.99 cnf(211,plain,
% 61.71/61.99 (E(f2(f2(x2111,f2(x2111,a1)),f2(a1,a1)),f2(f2(f2(a1,x2112),f2(f2(f2(x2113,x2114),f2(a1,a1)),f2(x2112,x2114))),f2(x2113,a1)))),
% 61.71/61.99 inference(scs_inference,[],[204,205,46,2,3])).
% 61.71/61.99 cnf(219,plain,
% 61.71/61.99 (E(f2(x2191,f2(x2192,f2(x2192,a1))),f2(x2191,f2(f2(x2193,f2(x2193,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[209,45,186,49,12,2,3,4,5])).
% 61.71/61.99 cnf(224,plain,
% 61.71/61.99 (E(f2(a1,a1),f2(f2(f2(x2241,f2(x2241,a1)),f2(a1,a1)),f2(f2(x2242,f2(x2242,a1)),f2(a1,a1))))),
% 61.71/61.99 inference(scs_inference,[],[219,90,183,2,3])).
% 61.71/61.99 cnf(228,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(x2281,f2(x2281,a1)),f2(a1,a1)),f2(a1,a1)),a1),f2(f2(x2282,f2(x2282,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[224,139,71,2,3])).
% 61.71/61.99 cnf(237,plain,
% 61.71/61.99 (E(f2(a1,x2371),f2(f2(f2(f2(a1,x2372),f2(f2(f2(x2373,x2374),f2(a1,a1)),f2(x2372,x2374))),f2(x2373,a1)),x2371))),
% 61.71/61.99 inference(scs_inference,[],[200,211,67,2,3,4])).
% 61.71/61.99 cnf(242,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(f2(x2421,f2(x2421,a1)),f2(a1,a1)),f2(a1,a1)),f2(a1,a1)),a1),f2(x2422,f2(x2422,a1)))),
% 61.71/61.99 inference(scs_inference,[],[145,237,18,2,3])).
% 61.71/61.99 cnf(260,plain,
% 61.71/61.99 (~E(f2(f2(x2601,f2(x2601,a1)),f2(f2(x2602,f2(x2602,a1)),f2(a1,a1))),f2(x2603,f2(x2603,a1)))),
% 61.71/61.99 inference(scs_inference,[],[242,176,49,2,3])).
% 61.71/61.99 cnf(262,plain,
% 61.71/61.99 (E(f2(x2621,f2(f2(x2622,f2(x2622,a1)),x2623)),f2(x2621,f2(a1,x2623)))),
% 61.71/61.99 inference(scs_inference,[],[242,176,49,12,2,3,5])).
% 61.71/61.99 cnf(267,plain,
% 61.71/61.99 (E(f2(f2(a1,x2671),f2(f2(f2(a1,x2672),f2(a1,a1)),f2(x2671,x2672))),f2(f2(x2673,f2(x2673,a1)),f2(a1,a1)))),
% 61.71/61.99 inference(scs_inference,[],[262,260,24,2,3])).
% 61.71/61.99 cnf(270,plain,
% 61.71/61.99 (E(f2(f2(x2701,f2(x2701,a1)),f2(a1,a1)),f2(f2(a1,x2702),f2(f2(f2(a1,x2703),f2(a1,a1)),f2(x2702,x2703))))),
% 61.71/61.99 inference(scs_inference,[],[267,2])).
% 61.71/61.99 cnf(271,plain,
% 61.71/61.99 (~E(f2(f2(f2(f2(x2711,f2(x2711,a1)),f2(a1,a1)),f2(a1,a1)),a1),f2(x2712,f2(x2712,a1)))),
% 61.71/61.99 inference(scs_inference,[],[267,228,49,2,3])).
% 61.71/61.99 cnf(274,plain,
% 61.71/61.99 (~E(f2(f2(a1,x2741),f2(f2(f2(a1,x2742),f2(a1,a1)),f2(x2741,x2742))),f2(f2(x2743,f2(x2743,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[270,85,271,2,3])).
% 61.71/61.99 cnf(315,plain,
% 61.71/61.99 (~E(f2(f2(x3151,f2(x3151,a1)),f2(a1,a1)),f2(f2(f2(x3152,f2(x3152,a1)),f2(a1,a1)),a1))),
% 61.71/61.99 inference(scs_inference,[],[81,55,274,2,5,4,3])).
% 61.71/61.99 cnf(328,plain,
% 61.71/61.99 ($false),
% 61.71/61.99 inference(scs_inference,[],[7,90,55,315,2,3,5]),
% 61.71/61.99 ['proof']).
% 61.71/61.99 % SZS output end Proof
% 61.71/61.99 % Total time :61.130000s
%------------------------------------------------------------------------------