TSTP Solution File: GRP530-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP530-1 : 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 : n021.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 00:12:20 EDT 2023
% Result : Unsatisfiable 0.53s 0.96s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP530-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 00:26:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.53/0.95 %-------------------------------------------
% 0.53/0.95 % File :CSE---1.6
% 0.53/0.95 % Problem :theBenchmark
% 0.53/0.95 % Transform :cnf
% 0.53/0.95 % Format :tptp:raw
% 0.53/0.95 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.95
% 0.53/0.95 % Result :Theorem 0.330000s
% 0.53/0.95 % Output :CNFRefutation 0.330000s
% 0.53/0.95 %-------------------------------------------
% 0.53/0.96 %--------------------------------------------------------------------------
% 0.53/0.96 % File : GRP530-1 : TPTP v8.1.2. Released v2.6.0.
% 0.53/0.96 % Domain : Group Theory (Abelian)
% 0.53/0.96 % Problem : Axiom for Abelian group theory, in division, part 2
% 0.53/0.96 % Version : [McC93] (equality) axioms.
% 0.53/0.96 % English :
% 0.53/0.96
% 0.53/0.96 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.53/0.96 % Source : [TPTP]
% 0.53/0.96 % Names :
% 0.53/0.96
% 0.53/0.96 % Status : Unsatisfiable
% 0.53/0.96 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.00 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.6.0
% 0.53/0.96 % Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 1 RR)
% 0.53/0.96 % Number of literals : 4 ( 4 equ; 1 neg)
% 0.53/0.96 % Maximal clause size : 1 ( 1 avg)
% 0.53/0.96 % Maximal term depth : 4 ( 2 avg)
% 0.53/0.96 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.53/0.96 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.53/0.96 % Number of variables : 8 ( 0 sgn)
% 0.53/0.96 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.53/0.96
% 0.53/0.96 % Comments : A UEQ part of GRP090-1
% 0.53/0.96 %--------------------------------------------------------------------------
% 0.53/0.96 cnf(single_axiom,axiom,
% 0.53/0.96 divide(divide(A,divide(B,C)),divide(A,B)) = C ).
% 0.53/0.96
% 0.53/0.96 cnf(multiply,axiom,
% 0.53/0.96 multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
% 0.53/0.96
% 0.53/0.96 cnf(inverse,axiom,
% 0.53/0.96 inverse(A) = divide(divide(B,B),A) ).
% 0.53/0.96
% 0.53/0.96 cnf(prove_these_axioms_2,negated_conjecture,
% 0.53/0.96 multiply(multiply(inverse(b2),b2),a2) != a2 ).
% 0.53/0.96
% 0.53/0.96 %--------------------------------------------------------------------------
% 0.53/0.96 %-------------------------------------------
% 0.53/0.96 % Proof found
% 0.53/0.96 % SZS status Theorem for theBenchmark
% 0.53/0.96 % SZS output start Proof
% 0.53/0.96 %ClaNum:12(EqnAxiom:8)
% 0.53/0.96 %VarNum:16(SingletonVarNum:8)
% 0.53/0.96 %MaxLitNum:1
% 0.53/0.96 %MaxfuncDepth:3
% 0.53/0.96 %SharedTerms:6
% 0.53/0.96 %goalClause: 12
% 0.53/0.96 %singleGoalClaCount:1
% 0.53/0.96 [12]~E(f5(f5(f4(a2),a2),a3),a3)
% 0.53/0.96 [9]E(f1(f1(x91,x91),x92),f4(x92))
% 0.53/0.96 [11]E(f1(f1(x111,f1(x112,x113)),f1(x111,x112)),x113)
% 0.53/0.96 [10]E(f1(x101,f1(f1(x102,x102),x103)),f5(x101,x103))
% 0.53/0.96 %EqnAxiom
% 0.53/0.96 [1]E(x11,x11)
% 0.53/0.96 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.96 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.53/0.96 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.53/0.96 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.53/0.96 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.53/0.96 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.53/0.96
% 0.53/0.96 %-------------------------------------------
% 0.53/0.96 cnf(13,plain,
% 0.53/0.96 (E(f4(x131),f1(f1(x132,x132),x131))),
% 0.53/0.96 inference(scs_inference,[],[9,2])).
% 0.53/0.96 cnf(17,plain,
% 0.53/0.96 (E(f1(x171,f1(f1(x172,x172),x173)),f1(x171,f4(x173)))),
% 0.53/0.96 inference(scs_inference,[],[9,2,8,7,6,5])).
% 0.53/0.96 cnf(18,plain,
% 0.53/0.96 (E(f1(f1(f1(x181,x181),x182),x183),f1(f4(x182),x183))),
% 0.53/0.96 inference(scs_inference,[],[9,2,8,7,6,5,4])).
% 0.53/0.96 cnf(19,plain,
% 0.53/0.96 (~E(f4(f4(x191)),x192)+E(f4(f1(f1(x193,x193),x191)),x192)),
% 0.53/0.96 inference(scs_inference,[],[9,2,8,7,6,5,4,3])).
% 0.53/0.96 cnf(21,plain,
% 0.53/0.96 (~E(a3,f5(f5(f4(a2),a2),a3))),
% 0.53/0.96 inference(scs_inference,[],[12,2])).
% 0.53/0.96 cnf(22,plain,
% 0.53/0.96 (~E(a3,f1(f5(f4(a2),a2),f1(f1(x221,x221),a3)))),
% 0.53/0.96 inference(scs_inference,[],[12,10,2,3])).
% 0.53/0.96 cnf(24,plain,
% 0.53/0.96 (E(f4(f1(f1(x241,x241),x242)),f1(f1(x243,x243),f4(x242)))),
% 0.53/0.96 inference(scs_inference,[],[12,10,13,2,3,19])).
% 0.53/0.96 cnf(26,plain,
% 0.53/0.96 (E(x261,f1(f1(x262,f1(x263,x261)),f1(x262,x263)))),
% 0.53/0.96 inference(scs_inference,[],[11,2])).
% 0.53/0.96 cnf(27,plain,
% 0.53/0.96 (~E(f1(f5(f4(a2),a2),f1(f1(x271,x271),a3)),a3)),
% 0.53/0.96 inference(scs_inference,[],[22,2])).
% 0.53/0.96 cnf(28,plain,
% 0.53/0.96 (E(f5(x281,x282),f1(x281,f1(f1(x283,x283),x282)))),
% 0.53/0.96 inference(scs_inference,[],[10,2])).
% 0.53/0.96 cnf(30,plain,
% 0.53/0.96 (E(f1(x301,f4(x302)),f1(x301,f1(f1(x303,x303),x302)))),
% 0.53/0.96 inference(scs_inference,[],[10,13,2,7,5])).
% 0.53/0.96 cnf(39,plain,
% 0.53/0.96 (~E(f1(f5(f4(a2),a2),f4(a3)),a3)),
% 0.53/0.96 inference(scs_inference,[],[17,27,3])).
% 0.53/0.96 cnf(42,plain,
% 0.53/0.96 (~E(a3,f1(f5(f4(a2),a2),f4(a3)))),
% 0.53/0.96 inference(scs_inference,[],[39,2])).
% 0.53/0.96 cnf(46,plain,
% 0.53/0.96 (E(f1(x461,x462),f1(x461,f1(f1(x463,f1(x464,x462)),f1(x463,x464))))),
% 0.53/0.96 inference(scs_inference,[],[13,18,39,26,2,3,5])).
% 0.53/0.96 cnf(48,plain,
% 0.53/0.96 (E(f5(x481,x482),f5(f1(f1(x483,f1(x484,x481)),f1(x483,x484)),x482))),
% 0.53/0.96 inference(scs_inference,[],[13,18,39,26,2,3,5,7,6])).
% 0.53/0.96 cnf(51,plain,
% 0.53/0.97 (E(f1(f1(x511,x511),f4(x512)),f4(f1(f1(x513,x513),x512)))),
% 0.53/0.97 inference(scs_inference,[],[24,2])).
% 0.53/0.97 cnf(54,plain,
% 0.53/0.97 (~E(f1(f1(x541,f1(x542,a3)),f1(x541,x542)),f1(f5(f4(a2),a2),f4(a3)))),
% 0.53/0.97 inference(scs_inference,[],[42,26,3])).
% 0.53/0.97 cnf(57,plain,
% 0.53/0.97 (~E(f1(f5(f4(a2),a2),f4(a3)),f1(f1(x571,f1(x572,a3)),f1(x571,x572)))),
% 0.53/0.97 inference(scs_inference,[],[54,2])).
% 0.53/0.97 cnf(58,plain,
% 0.53/0.97 (E(f5(x581,x582),f1(x581,f4(x582)))),
% 0.53/0.97 inference(scs_inference,[],[17,28,54,2,3])).
% 0.53/0.97 cnf(61,plain,
% 0.53/0.97 (~E(f1(f5(f4(a2),a2),f4(a3)),f1(f1(f1(x611,x611),f1(x612,a3)),f4(x612)))),
% 0.53/0.97 inference(scs_inference,[],[30,46,57,2,3])).
% 0.53/0.97 cnf(64,plain,
% 0.53/0.97 (E(f1(x641,f5(x642,x643)),f1(x641,f1(x642,f4(x643))))),
% 0.53/0.97 inference(scs_inference,[],[30,46,58,57,2,3,5])).
% 0.53/0.97 cnf(65,plain,
% 0.53/0.97 (E(f5(f5(x651,x652),x653),f5(f1(x651,f4(x652)),x653))),
% 0.53/0.97 inference(scs_inference,[],[30,46,58,57,2,3,5,6])).
% 0.53/0.97 cnf(68,plain,
% 0.53/0.97 (E(f1(f5(x681,x682),x683),f1(f1(x681,f4(x682)),x683))),
% 0.53/0.97 inference(scs_inference,[],[30,46,58,57,2,3,5,6,7,8,4])).
% 0.53/0.97 cnf(69,plain,
% 0.53/0.97 (~E(f5(f4(a2),a2),f1(f1(x691,x691),f1(a3,a3)))),
% 0.53/0.97 inference(scs_inference,[],[61,4])).
% 0.53/0.97 cnf(70,plain,
% 0.53/0.97 (~E(f1(f5(f4(a2),a2),f4(a3)),f1(f1(f1(x701,x701),f1(x702,a3)),f4(x702)))),
% 0.53/0.97 inference(rename_variables,[],[61])).
% 0.53/0.97 cnf(71,plain,
% 0.53/0.97 (~E(f1(f1(f1(x711,x711),f1(x712,a3)),f4(x712)),f1(f5(f4(a2),a2),f4(a3)))),
% 0.53/0.97 inference(scs_inference,[],[61,70,4,2])).
% 0.53/0.97 cnf(79,plain,
% 0.53/0.97 (~E(f1(f1(x791,x791),f1(a3,a3)),f5(f4(a2),a2))),
% 0.53/0.97 inference(scs_inference,[],[71,4])).
% 0.53/0.97 cnf(87,plain,
% 0.53/0.97 (~E(f1(f4(f1(x871,x871)),f1(a3,a3)),f5(f4(a2),a2))),
% 0.53/0.97 inference(scs_inference,[],[18,48,79,2,3])).
% 0.53/0.97 cnf(91,plain,
% 0.53/0.97 (~E(f5(f4(a2),a2),f1(f4(f1(x911,x911)),f1(a3,a3)))),
% 0.53/0.97 inference(scs_inference,[],[87,2])).
% 0.53/0.97 cnf(95,plain,
% 0.53/0.97 (E(f1(x951,f1(x952,f4(x953))),f1(x951,f5(x952,x953)))),
% 0.53/0.97 inference(scs_inference,[],[64,2])).
% 0.53/0.97 cnf(96,plain,
% 0.53/0.97 (~E(f5(f4(a2),a2),f1(f1(f1(x961,x961),f1(x962,x962)),f1(a3,a3)))),
% 0.53/0.97 inference(scs_inference,[],[18,64,91,2,3])).
% 0.53/0.97 cnf(99,plain,
% 0.53/0.97 (~E(f1(f4(a2),f1(f1(x991,x991),a2)),f1(f1(x992,x992),f1(a3,a3)))),
% 0.53/0.97 inference(scs_inference,[],[96,69,28,2,3])).
% 0.53/0.97 cnf(101,plain,
% 0.53/0.97 (E(f5(f1(x1011,f4(x1012)),x1013),f5(f5(x1011,x1012),x1013))),
% 0.53/0.97 inference(scs_inference,[],[65,2])).
% 0.53/0.97 cnf(102,plain,
% 0.53/0.97 (E(f1(f1(x1021,x1021),f4(x1022)),f1(f1(x1023,x1023),f4(x1022)))),
% 0.53/0.97 inference(scs_inference,[],[24,51,65,2,3])).
% 0.53/0.97 cnf(105,plain,
% 0.53/0.97 (E(x1051,f1(f1(x1052,f1(f4(x1053),x1051)),f5(x1052,x1053)))),
% 0.53/0.97 inference(scs_inference,[],[26,95,99,2,3])).
% 0.53/0.97 cnf(110,plain,
% 0.53/0.97 (~E(a3,f5(f1(f4(a2),f4(a2)),a3))),
% 0.53/0.97 inference(scs_inference,[],[101,21,3])).
% 0.53/0.97 cnf(114,plain,
% 0.53/0.97 (~E(f1(f1(f4(a2),f4(a2)),f1(f1(x1141,x1141),a3)),a3)),
% 0.53/0.97 inference(scs_inference,[],[27,68,110,2,3])).
% 0.53/0.97 cnf(136,plain,
% 0.53/0.97 (~E(a3,f1(f1(f4(a2),f4(a2)),f4(a3)))),
% 0.53/0.97 inference(scs_inference,[],[30,114,2,3])).
% 0.53/0.97 cnf(142,plain,
% 0.53/0.97 (E(f1(f1(x1421,f4(x1422)),x1423),f1(f5(x1421,x1422),x1423))),
% 0.53/0.97 inference(scs_inference,[],[30,105,10,2,3,4])).
% 0.53/0.97 cnf(145,plain,
% 0.53/0.97 ($false),
% 0.53/0.97 inference(scs_inference,[],[102,142,136,71,2,3]),
% 0.53/0.97 ['proof']).
% 0.53/0.97 % SZS output end Proof
% 0.53/0.97 % Total time :0.330000s
%------------------------------------------------------------------------------