TSTP Solution File: GRP458-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 00:12:09 EDT 2023
% Result : Unsatisfiable 1.42s 1.49s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n022.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 00:27:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.37/1.49 %-------------------------------------------
% 1.37/1.49 % File :CSE---1.6
% 1.37/1.49 % Problem :theBenchmark
% 1.37/1.49 % Transform :cnf
% 1.37/1.49 % Format :tptp:raw
% 1.37/1.49 % Command :java -jar mcs_scs.jar %d %s
% 1.37/1.49
% 1.37/1.49 % Result :Theorem 0.880000s
% 1.37/1.49 % Output :CNFRefutation 0.880000s
% 1.37/1.49 %-------------------------------------------
% 1.42/1.49 %--------------------------------------------------------------------------
% 1.42/1.49 % File : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% 1.42/1.49 % Domain : Group Theory
% 1.42/1.49 % Problem : Axiom for group theory, in division and identity, part 2
% 1.42/1.49 % Version : [McC93] (equality) axioms.
% 1.42/1.49 % English :
% 1.42/1.49
% 1.42/1.49 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 1.42/1.49 % Source : [TPTP]
% 1.42/1.49 % Names :
% 1.42/1.49
% 1.42/1.49 % Status : Unsatisfiable
% 1.42/1.49 % Rating : 0.04 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.11 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, 0.24 v5.5.0, 0.21 v5.4.0, 0.00 v5.2.0, 0.07 v5.0.0, 0.00 v2.6.0
% 1.42/1.49 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 1.42/1.49 % Number of literals : 5 ( 5 equ; 1 neg)
% 1.42/1.49 % Maximal clause size : 1 ( 1 avg)
% 1.42/1.49 % Maximal term depth : 7 ( 2 avg)
% 1.42/1.49 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 1.42/1.49 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 1.42/1.49 % Number of variables : 7 ( 0 sgn)
% 1.42/1.49 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 1.42/1.49
% 1.42/1.49 % Comments : A UEQ part of GRP067-1
% 1.42/1.49 %--------------------------------------------------------------------------
% 1.42/1.49 cnf(single_axiom,axiom,
% 1.42/1.49 divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ).
% 1.42/1.49
% 1.42/1.49 cnf(multiply,axiom,
% 1.42/1.49 multiply(A,B) = divide(A,divide(identity,B)) ).
% 1.42/1.49
% 1.42/1.49 cnf(inverse,axiom,
% 1.42/1.49 inverse(A) = divide(identity,A) ).
% 1.42/1.49
% 1.42/1.49 cnf(identity,axiom,
% 1.42/1.49 identity = divide(A,A) ).
% 1.42/1.49
% 1.42/1.49 cnf(prove_these_axioms_2,negated_conjecture,
% 1.42/1.49 multiply(identity,a2) != a2 ).
% 1.42/1.49
% 1.42/1.49 %--------------------------------------------------------------------------
% 1.42/1.49 %-------------------------------------------
% 1.42/1.49 % Proof found
% 1.42/1.49 % SZS status Theorem for theBenchmark
% 1.42/1.49 % SZS output start Proof
% 1.42/1.49 %ClaNum:8(EqnAxiom:5)
% 1.42/1.49 %VarNum:10(SingletonVarNum:4)
% 1.42/1.49 %MaxLitNum:1
% 1.42/1.49 %MaxfuncDepth:6
% 1.42/1.49 %SharedTerms:5
% 1.42/1.49 %goalClause: 8
% 1.42/1.49 %singleGoalClaCount:1
% 1.42/1.49 [8]~E(f1(a3,f1(a3,a2)),a2)
% 1.42/1.49 [6]E(f1(x61,x61),a3)
% 1.42/1.49 [7]E(f1(f1(f1(x71,x71),f1(x71,f1(x72,f1(f1(a3,x71),x73)))),x73),x72)
% 1.42/1.49 %EqnAxiom
% 1.42/1.49 [1]E(x11,x11)
% 1.42/1.49 [2]E(x22,x21)+~E(x21,x22)
% 1.42/1.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.42/1.50 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 1.42/1.50 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 1.42/1.50
% 1.42/1.50 %-------------------------------------------
% 1.42/1.50 cnf(9,plain,
% 1.42/1.50 (E(a3,f1(x91,x91))),
% 1.42/1.50 inference(scs_inference,[],[6,2])).
% 1.42/1.50 cnf(10,plain,
% 1.42/1.50 (E(f1(f1(f1(x101,x101),f1(x101,f1(f1(x102,x102),f1(f1(a3,x101),x103)))),x103),a3)),
% 1.42/1.50 inference(scs_inference,[],[6,7,2,3])).
% 1.42/1.50 cnf(12,plain,
% 1.42/1.50 (E(f1(x121,f1(x122,x122)),f1(x121,a3))),
% 1.42/1.50 inference(scs_inference,[],[6,7,2,3,5])).
% 1.42/1.50 cnf(13,plain,
% 1.42/1.50 (E(f1(f1(x131,x131),x132),f1(a3,x132))),
% 1.42/1.50 inference(scs_inference,[],[6,7,2,3,5,4])).
% 1.42/1.50 cnf(14,plain,
% 1.42/1.50 (~E(a2,f1(a3,f1(a3,a2)))),
% 1.42/1.50 inference(scs_inference,[],[8,2])).
% 1.42/1.50 cnf(15,plain,
% 1.42/1.50 (~E(f1(a3,f1(a3,a2)),f1(f1(f1(x151,x151),f1(x151,f1(a2,f1(f1(a3,x151),x152)))),x152))),
% 1.42/1.50 inference(scs_inference,[],[8,7,2,3])).
% 1.42/1.50 cnf(17,plain,
% 1.42/1.50 (~E(a3,f1(f1(x171,x171),f1(x171,f1(a2,f1(f1(a3,x171),f1(a3,a2))))))),
% 1.42/1.50 inference(scs_inference,[],[8,7,2,3,4])).
% 1.42/1.50 cnf(18,plain,
% 1.42/1.50 (E(x181,f1(f1(f1(x182,x182),f1(x182,f1(x181,f1(f1(a3,x182),x183)))),x183))),
% 1.42/1.50 inference(scs_inference,[],[7,2])).
% 1.42/1.50 cnf(19,plain,
% 1.42/1.50 (E(f1(x191,x191),f1(x192,x192))),
% 1.42/1.50 inference(scs_inference,[],[6,9,7,2,3])).
% 1.42/1.50 cnf(20,plain,
% 1.42/1.50 (E(f1(a3,x201),f1(f1(x202,x202),x201))),
% 1.42/1.50 inference(scs_inference,[],[6,9,7,2,3,4])).
% 1.42/1.50 cnf(21,plain,
% 1.42/1.50 (~E(f1(a3,f1(a3,a2)),f1(f1(f1(x211,x211),f1(x211,f1(a2,f1(f1(a3,x211),a3)))),f1(x212,x212)))),
% 1.42/1.50 inference(scs_inference,[],[12,15,3])).
% 1.42/1.50 cnf(23,plain,
% 1.42/1.50 (~E(f1(a3,f1(a3,a2)),f1(f1(f1(x231,x231),f1(x231,f1(a2,f1(f1(a3,x231),x232)))),x232))),
% 1.42/1.50 inference(rename_variables,[],[15])).
% 1.42/1.50 cnf(25,plain,
% 1.42/1.50 (~E(f1(f1(x251,x251),f1(x251,f1(a2,f1(f1(a3,x251),f1(a3,a2))))),a3)),
% 1.42/1.50 inference(scs_inference,[],[12,15,23,3,2,4])).
% 1.42/1.50 cnf(27,plain,
% 1.42/1.50 (~E(f1(x271,x271),f1(f1(x272,x272),f1(x272,f1(a2,f1(f1(a3,x272),f1(a3,a2))))))),
% 1.42/1.50 inference(scs_inference,[],[10,9,17,2,3])).
% 1.42/1.50 cnf(28,plain,
% 1.42/1.50 (E(f1(f1(x281,x281),x282),f1(f1(x283,x283),x282))),
% 1.42/1.50 inference(scs_inference,[],[10,9,19,17,2,3,4])).
% 1.42/1.50 cnf(29,plain,
% 1.42/1.50 (E(f1(x291,a3),f1(x291,f1(x292,x292)))),
% 1.42/1.50 inference(scs_inference,[],[10,9,19,17,2,3,4,5])).
% 1.42/1.50 cnf(30,plain,
% 1.42/1.50 (~E(f1(x301,x301),f1(x301,f1(a2,f1(f1(a3,x301),f1(a3,a2)))))),
% 1.42/1.50 inference(scs_inference,[],[27,5])).
% 1.42/1.50 cnf(31,plain,
% 1.42/1.50 (~E(f1(x311,x311),f1(f1(x312,x312),f1(x312,f1(a2,f1(f1(a3,x312),f1(a3,a2))))))),
% 1.42/1.50 inference(rename_variables,[],[27])).
% 1.42/1.50 cnf(33,plain,
% 1.42/1.50 (E(f1(f1(f1(x331,x331),f1(x331,f1(f1(x332,x332),f1(f1(a3,x331),x333)))),x333),f1(x334,x334))),
% 1.42/1.50 inference(scs_inference,[],[10,9,27,31,5,2,3])).
% 1.42/1.50 cnf(34,plain,
% 1.42/1.50 (E(f1(x341,f1(x342,f1(x343,x343))),f1(x341,f1(x342,a3)))),
% 1.42/1.50 inference(scs_inference,[],[12,5])).
% 1.42/1.50 cnf(39,plain,
% 1.42/1.50 (~E(x391,f1(a2,f1(f1(a3,x391),f1(a3,a2))))),
% 1.42/1.50 inference(scs_inference,[],[30,5])).
% 1.42/1.50 cnf(40,plain,
% 1.42/1.50 (~E(f1(f1(x401,x401),a3),f1(f1(x401,x401),f1(a2,f1(f1(a3,f1(x401,x401)),f1(a3,a2)))))),
% 1.42/1.50 inference(scs_inference,[],[12,30,5,3])).
% 1.42/1.50 cnf(41,plain,
% 1.42/1.50 (~E(f1(x411,x411),f1(x411,f1(a2,f1(f1(a3,x411),f1(a3,a2)))))),
% 1.42/1.50 inference(rename_variables,[],[30])).
% 1.42/1.50 cnf(43,plain,
% 1.42/1.50 (~E(f1(x431,f1(a2,f1(f1(a3,x431),f1(a3,a2)))),f1(x431,x431))),
% 1.42/1.50 inference(scs_inference,[],[12,30,41,5,3,2])).
% 1.42/1.50 cnf(44,plain,
% 1.42/1.50 (E(f1(x441,f1(f1(x442,x442),x443)),f1(x441,f1(a3,x443)))),
% 1.42/1.50 inference(scs_inference,[],[13,5])).
% 1.42/1.50 cnf(45,plain,
% 1.42/1.50 (E(f1(f1(x451,x451),f1(x452,x452)),f1(a3,a3))),
% 1.42/1.50 inference(scs_inference,[],[13,12,5,3])).
% 1.42/1.50 cnf(46,plain,
% 1.42/1.50 (E(f1(f1(x461,x461),x462),f1(a3,x462))),
% 1.42/1.50 inference(rename_variables,[],[13])).
% 1.42/1.50 cnf(48,plain,
% 1.42/1.50 (E(f1(x481,f1(x482,a3)),f1(x481,f1(x482,f1(x483,x483))))),
% 1.42/1.50 inference(scs_inference,[],[13,12,34,5,3,2])).
% 1.42/1.50 cnf(49,plain,
% 1.42/1.50 (E(f1(f1(f1(x491,x491),x492),x493),f1(f1(a3,x492),x493))),
% 1.42/1.50 inference(scs_inference,[],[13,46,12,34,5,3,2,4])).
% 1.42/1.50 cnf(50,plain,
% 1.42/1.50 (~E(f1(a2,f1(f1(a3,x501),f1(a3,a2))),x501)),
% 1.42/1.50 inference(scs_inference,[],[43,5])).
% 1.42/1.50 cnf(55,plain,
% 1.42/1.50 (E(f1(x551,f1(f1(x552,x552),x553)),f1(x551,f1(f1(x554,x554),x553)))),
% 1.42/1.50 inference(scs_inference,[],[28,5])).
% 1.42/1.50 cnf(58,plain,
% 1.42/1.50 (E(f1(x581,f1(a3,x582)),f1(x581,f1(f1(x583,x583),x582)))),
% 1.42/1.50 inference(scs_inference,[],[12,28,44,39,5,3,2])).
% 1.42/1.50 cnf(59,plain,
% 1.42/1.50 (~E(f1(f1(a3,f1(a2,x591)),f1(a3,a2)),x591)),
% 1.42/1.50 inference(scs_inference,[],[50,5])).
% 1.42/1.50 cnf(61,plain,
% 1.42/1.50 (E(x611,f1(f1(f1(x612,x612),f1(x612,f1(x611,f1(f1(a3,x612),f1(x613,x613))))),a3))),
% 1.42/1.50 inference(scs_inference,[],[12,18,50,5,3])).
% 1.42/1.50 cnf(64,plain,
% 1.42/1.50 (~E(f1(f1(x641,x641),f1(a2,f1(f1(a3,f1(x641,x641)),f1(a3,a2)))),f1(f1(x641,x641),a3))),
% 1.42/1.50 inference(scs_inference,[],[12,18,50,40,5,3,2])).
% 1.42/1.50 cnf(65,plain,
% 1.42/1.50 (~E(f1(a3,f1(a2,f1(x651,f1(a3,a2)))),x651)),
% 1.42/1.50 inference(scs_inference,[],[12,18,50,40,5,3,2,4])).
% 1.42/1.50 cnf(66,plain,
% 1.42/1.50 (E(f1(f1(x661,f1(f1(x662,x662),x663)),x664),f1(f1(x661,f1(f1(x665,x665),x663)),x664))),
% 1.42/1.50 inference(scs_inference,[],[55,4])).
% 1.42/1.50 cnf(67,plain,
% 1.42/1.50 (E(f1(x671,f1(x672,f1(f1(x673,x673),x674))),f1(x671,f1(x672,f1(f1(x675,x675),x674))))),
% 1.42/1.50 inference(scs_inference,[],[55,4,5])).
% 1.42/1.50 cnf(70,plain,
% 1.42/1.50 (E(f1(f1(a3,x701),x702),f1(f1(f1(x703,x703),x701),x702))),
% 1.42/1.50 inference(scs_inference,[],[13,14,55,49,4,5,3,2])).
% 1.42/1.50 cnf(74,plain,
% 1.42/1.50 (~E(x741,f1(f1(a3,f1(a2,x741)),f1(a3,a2)))),
% 1.42/1.50 inference(scs_inference,[],[14,59,61,64,5,3,2])).
% 1.42/1.50 cnf(77,plain,
% 1.42/1.50 (E(f1(x771,f1(x772,f1(x773,a3))),f1(x771,f1(x772,f1(x773,f1(x774,x774)))))),
% 1.42/1.50 inference(scs_inference,[],[48,4,5])).
% 1.42/1.50 cnf(81,plain,
% 1.42/1.50 (E(f1(a3,a3),f1(f1(x811,x811),f1(x812,x812)))),
% 1.42/1.50 inference(scs_inference,[],[66,48,45,4,5,3,2])).
% 1.42/1.50 cnf(89,plain,
% 1.42/1.50 (E(f1(x891,f1(x892,f1(x893,f1(x894,a3)))),f1(x891,f1(x892,f1(x893,f1(x894,f1(x895,x895))))))),
% 1.42/1.50 inference(scs_inference,[],[77,5])).
% 1.42/1.50 cnf(97,plain,
% 1.42/1.50 (E(f1(x971,f1(x972,x972)),f1(x971,f1(x973,x973)))),
% 1.42/1.50 inference(scs_inference,[],[19,5])).
% 1.42/1.50 cnf(98,plain,
% 1.42/1.50 (~E(f1(a3,f1(a2,f1(f1(x981,x981),f1(a3,a2)))),f1(x982,x982))),
% 1.42/1.50 inference(scs_inference,[],[19,65,5,3])).
% 1.42/1.50 cnf(100,plain,
% 1.42/1.50 (E(f1(x1001,f1(x1002,f1(x1003,f1(x1004,f1(x1005,x1005))))),f1(x1001,f1(x1002,f1(x1003,f1(x1004,a3)))))),
% 1.42/1.50 inference(scs_inference,[],[19,89,65,5,3,2])).
% 1.42/1.50 cnf(105,plain,
% 1.42/1.50 (~E(f1(x1051,x1051),f1(f1(a3,f1(a2,f1(x1052,x1052))),f1(a3,a2)))),
% 1.42/1.51 inference(scs_inference,[],[19,97,74,98,4,5,3])).
% 1.42/1.51 cnf(114,plain,
% 1.42/1.51 (E(f1(f1(x1141,f1(a3,x1142)),x1143),f1(f1(x1141,f1(f1(x1144,x1144),x1142)),x1143))),
% 1.42/1.51 inference(scs_inference,[],[58,4])).
% 1.42/1.51 cnf(122,plain,
% 1.42/1.51 (E(f1(f1(x1221,f1(f1(x1222,x1222),x1223)),x1224),f1(f1(x1221,f1(a3,x1223)),x1224))),
% 1.42/1.51 inference(scs_inference,[],[20,21,114,5,3,2])).
% 1.42/1.51 cnf(126,plain,
% 1.42/1.51 (E(f1(a3,f1(x1261,x1261)),f1(x1262,x1262))),
% 1.42/1.51 inference(scs_inference,[],[19,20,122,105,4,5,3])).
% 1.42/1.51 cnf(130,plain,
% 1.42/1.51 (E(f1(x1301,f1(f1(a3,x1302),x1303)),f1(x1301,f1(f1(f1(x1304,x1304),x1302),x1303)))),
% 1.42/1.51 inference(scs_inference,[],[70,5])).
% 1.42/1.51 cnf(139,plain,
% 1.42/1.51 (E(f1(x1391,f1(x1392,f1(f1(x1393,x1393),f1(x1394,f1(x1395,x1395))))),f1(x1391,f1(x1392,f1(f1(x1396,x1396),f1(x1394,a3)))))),
% 1.42/1.51 inference(scs_inference,[],[67,100,130,5,3])).
% 1.42/1.51 cnf(156,plain,
% 1.42/1.51 (~E(f1(x1561,x1561),f1(f1(x1562,x1562),f1(x1563,f1(a2,f1(f1(a3,x1563),f1(a3,a2))))))),
% 1.42/1.51 inference(scs_inference,[],[27,28,3])).
% 1.42/1.51 cnf(159,plain,
% 1.42/1.51 (E(f1(x1591,f1(a3,f1(x1592,x1592))),f1(x1591,f1(x1593,x1593)))),
% 1.42/1.51 inference(scs_inference,[],[27,139,126,28,3,2,5])).
% 1.42/1.51 cnf(161,plain,
% 1.42/1.51 (~E(f1(x1611,x1611),f1(f1(x1612,x1612),f1(x1613,f1(a2,f1(f1(a3,x1613),f1(a3,a2))))))),
% 1.42/1.51 inference(rename_variables,[],[156])).
% 1.42/1.51 cnf(164,plain,
% 1.42/1.51 (E(f1(f1(x1641,x1641),x1642),f1(f1(x1643,x1643),x1642))),
% 1.42/1.51 inference(rename_variables,[],[28])).
% 1.42/1.51 cnf(165,plain,
% 1.42/1.51 (~E(f1(f1(x1651,x1651),f1(x1652,f1(a2,f1(f1(a3,x1652),f1(a3,a2))))),f1(x1653,x1653))),
% 1.42/1.51 inference(scs_inference,[],[25,28,156,161,5,3,2])).
% 1.42/1.51 cnf(166,plain,
% 1.42/1.51 (E(f1(f1(f1(x1661,x1661),x1662),x1663),f1(f1(f1(x1664,x1664),x1662),x1663))),
% 1.42/1.51 inference(scs_inference,[],[25,28,164,156,161,5,3,2,4])).
% 1.42/1.51 cnf(167,plain,
% 1.42/1.51 (E(f1(x1671,f1(f1(f1(x1672,x1672),x1673),x1674)),f1(x1671,f1(f1(f1(x1675,x1675),x1673),x1674)))),
% 1.42/1.51 inference(scs_inference,[],[166,5])).
% 1.42/1.51 cnf(168,plain,
% 1.42/1.51 (E(f1(f1(f1(x1681,x1681),f1(x1681,f1(f1(x1682,x1682),f1(f1(a3,x1681),x1683)))),x1683),f1(f1(x1684,x1684),f1(x1685,x1685)))),
% 1.42/1.51 inference(scs_inference,[],[28,33,166,5,3])).
% 1.42/1.51 cnf(172,plain,
% 1.42/1.51 (~E(f1(x1721,f1(a2,f1(f1(a3,x1721),f1(a3,a2)))),f1(x1722,x1722))),
% 1.42/1.51 inference(scs_inference,[],[165,5])).
% 1.42/1.51 cnf(173,plain,
% 1.42/1.51 (~E(f1(f1(x1731,x1731),f1(x1732,f1(a2,f1(f1(a3,x1732),f1(a3,a2))))),f1(x1733,x1733))),
% 1.42/1.51 inference(rename_variables,[],[165])).
% 1.42/1.51 cnf(174,plain,
% 1.42/1.51 (~E(f1(f1(x1741,x1741),f1(x1742,f1(a2,f1(f1(a3,x1742),f1(a3,a2))))),f1(f1(x1743,x1743),f1(x1744,x1744)))),
% 1.42/1.51 inference(scs_inference,[],[28,165,173,5,3])).
% 1.42/1.51 cnf(179,plain,
% 1.42/1.51 (~E(f1(f1(x1791,x1791),f1(f1(f1(x1792,x1792),x1793),f1(a2,f1(f1(a3,f1(f1(x1794,x1794),x1793)),f1(a3,a2))))),f1(f1(x1795,x1795),f1(x1796,x1796)))),
% 1.42/1.51 inference(scs_inference,[],[34,167,174,5,3])).
% 1.42/1.51 cnf(182,plain,
% 1.42/1.51 (E(f1(f1(x1821,x1821),f1(x1822,x1822)),f1(f1(f1(x1823,x1823),f1(x1823,f1(f1(x1824,x1824),f1(f1(a3,x1823),x1825)))),x1825))),
% 1.42/1.51 inference(scs_inference,[],[34,167,168,174,5,3,2])).
% 1.42/1.51 cnf(184,plain,
% 1.42/1.51 (~E(f1(f1(x1841,x1841),f1(f1(f1(x1842,x1842),x1843),f1(a2,f1(f1(a3,f1(f1(x1844,x1844),x1843)),f1(a3,a2))))),f1(f1(x1845,x1845),f1(x1846,x1846)))),
% 1.42/1.51 inference(rename_variables,[],[179])).
% 1.42/1.51 cnf(186,plain,
% 1.42/1.51 (E(f1(x1861,a3),f1(x1861,f1(x1862,x1862)))),
% 1.42/1.51 inference(rename_variables,[],[29])).
% 1.42/1.51 cnf(189,plain,
% 1.42/1.51 (E(f1(f1(x1891,a3),x1892),f1(f1(x1891,f1(x1893,x1893)),x1892))),
% 1.42/1.51 inference(scs_inference,[],[29,186,33,179,184,5,3,2,4])).
% 1.42/1.51 cnf(191,plain,
% 1.42/1.51 (~E(f1(x1911,f1(a2,f1(f1(a3,x1911),f1(a3,a2)))),f1(f1(x1912,a3),f1(x1912,f1(x1913,x1913))))),
% 1.42/1.51 inference(scs_inference,[],[34,159,172,5,3])).
% 1.42/1.51 cnf(195,plain,
% 1.42/1.51 (~E(a2,f1(a2,a3))),
% 1.42/1.51 inference(scs_inference,[],[34,159,172,5,3,2,4])).
% 1.42/1.51 cnf(227,plain,
% 1.42/1.51 (E(f1(x2271,f1(f1(x2272,a3),x2273)),f1(x2271,f1(f1(x2272,f1(x2274,x2274)),x2273)))),
% 1.42/1.51 inference(scs_inference,[],[189,5])).
% 1.42/1.51 cnf(233,plain,
% 1.42/1.51 (~E(f1(a2,f1(f1(a3,f1(x2331,a3)),f1(a3,a2))),f1(x2331,f1(x2332,x2332)))),
% 1.42/1.51 inference(scs_inference,[],[227,191,4,5])).
% 1.42/1.51 cnf(243,plain,
% 1.42/1.51 (~E(f1(f1(a3,f1(a2,a3)),f1(a3,a2)),f1(x2431,x2431))),
% 1.42/1.51 inference(scs_inference,[],[233,5])).
% 1.42/1.51 cnf(251,plain,
% 1.42/1.51 (~E(f1(f1(f1(x2511,x2511),f1(x2511,f1(a2,f1(f1(a3,x2511),f1(x2512,x2512))))),a3),f1(a2,a3))),
% 1.42/1.51 inference(scs_inference,[],[45,195,61,4,5,3])).
% 1.42/1.51 cnf(257,plain,
% 1.42/1.51 (E(f1(f1(x2571,x2571),f1(f1(x2572,x2572),a3)),f1(a3,a3))),
% 1.42/1.51 inference(scs_inference,[],[44,45,243,251,4,5,3])).
% 1.42/1.51 cnf(336,plain,
% 1.42/1.51 (~E(f1(f1(a3,f1(a2,x3361)),f1(f1(x3362,x3362),a2)),x3361)),
% 1.42/1.51 inference(scs_inference,[],[58,59,3])).
% 1.42/1.51 cnf(343,plain,
% 1.42/1.51 (E(f1(f1(x3431,x3431),f1(x3432,x3432)),f1(f1(f1(x3433,x3433),f1(x3433,f1(f1(x3434,x3434),f1(f1(a3,x3433),f1(a3,x3435))))),f1(f1(x3436,x3436),x3435)))),
% 1.42/1.51 inference(scs_inference,[],[58,182,257,4,5,3])).
% 1.42/1.51 cnf(360,plain,
% 1.42/1.51 (E(f1(f1(f1(x3601,x3601),f1(x3601,f1(f1(x3602,x3602),f1(f1(a3,x3601),f1(a3,x3603))))),f1(f1(x3604,x3604),x3603)),f1(f1(x3605,x3605),f1(x3606,x3606)))),
% 1.42/1.51 inference(scs_inference,[],[61,343,81,3,2])).
% 1.42/1.51 cnf(425,plain,
% 1.42/1.51 ($false),
% 1.42/1.51 inference(scs_inference,[],[70,360,336,3]),
% 1.42/1.51 ['proof']).
% 1.42/1.51 % SZS output end Proof
% 1.42/1.51 % Total time :0.880000s
%------------------------------------------------------------------------------