%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP042-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 06:38:36 EDT 2024
% Result : Unsatisfiable 0.55s 1.02s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP042-2 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.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 : Thu Jun 20 08:25:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.53/0.56 start to proof:theBenchmark
% 0.55/1.01 %-------------------------------------------
% 0.55/1.01 % File :CSE---1.7
% 0.55/1.01 % Problem :theBenchmark
% 0.55/1.01 % Transform :cnf
% 0.55/1.01 % Format :tptp:raw
% 0.55/1.01 % Command :java -jar mcs_scs.jar %d %s
% 0.55/1.01
% 0.55/1.01 % Result :Theorem 0.410000s
% 0.55/1.01 % Output :CNFRefutation 0.410000s
% 0.55/1.01 %-------------------------------------------
% 0.55/1.01 %--------------------------------------------------------------------------
% 0.55/1.01 % File : GRP042-2 : TPTP v8.2.0. Released v1.0.0.
% 0.55/1.01 % Domain : Group Theory
% 0.55/1.01 % Problem : Symmetry is dependent
% 0.55/1.01 % Version : [Ver92] axioms.
% 0.55/1.01 % English :
% 0.55/1.01
% 0.55/1.01 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.55/1.01 % Source : [Ver92]
% 0.55/1.01 % Names : - [Ver92]
% 0.55/1.01
% 0.55/1.01 % Status : Unsatisfiable
% 0.55/1.01 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.0.0
% 0.55/1.01 % Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 6 RR)
% 0.55/1.01 % Number of literals : 19 ( 0 equ; 11 neg)
% 0.55/1.01 % Maximal clause size : 4 ( 2 avg)
% 0.55/1.01 % Maximal term depth : 2 ( 1 avg)
% 0.55/1.01 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.55/1.01 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.55/1.01 % Number of variables : 24 ( 0 sgn)
% 0.55/1.01 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.55/1.01
% 0.55/1.01 % Comments :
% 0.55/1.01 %--------------------------------------------------------------------------
% 0.55/1.01 %----Include Veroff's minimal axiom set
% 0.55/1.01 include('Axioms/GRP005-0.ax').
% 0.55/1.01 %--------------------------------------------------------------------------
% 0.55/1.01 cnf(a_equals_b,hypothesis,
% 0.55/1.01 equalish(a,b) ).
% 0.55/1.01
% 0.55/1.01 cnf(prove_symmetry,negated_conjecture,
% 0.55/1.01 ~ equalish(b,a) ).
% 0.55/1.01
% 0.55/1.01 %--------------------------------------------------------------------------
% 0.55/1.01 %-------------------------------------------
% 0.55/1.01 % Proof found
% 0.55/1.02 % SZS status Theorem for theBenchmark
% 0.55/1.02 % SZS output start Proof
% 0.55/1.02 %ClaNum:9(EqnAxiom:0)
% 0.55/1.02 %VarNum:48(SingletonVarNum:24)
% 0.55/1.02 %MaxLitNum:4
% 0.55/1.02 %MaxfuncDepth:1
% 0.55/1.02 %SharedTerms:5
% 0.55/1.02 %goalClause: 5
% 0.55/1.02 %singleGoalClaCount:1
% 0.55/1.02 [1]P1(a1,a2)
% 0.55/1.02 [5]~P1(a2,a1)
% 0.55/1.02 [2]P2(a3,x21,x21)
% 0.55/1.02 [3]P2(f4(x31),x31,a3)
% 0.55/1.02 [4]P2(x41,x42,f5(x41,x42))
% 0.55/1.02 [6]~P2(x61,x62,x64)+P2(x61,x62,x63)+~P1(x64,x63)
% 0.55/1.02 [7]~P2(x73,x74,x71)+P1(x71,x72)+~P2(x73,x74,x72)
% 0.55/1.02 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83)
% 0.55/1.02 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92)
% 0.55/1.02 %EqnAxiom
% 0.55/1.02
% 0.55/1.02 %-------------------------------------------
% 0.55/1.02 cnf(12,plain,
% 0.55/1.02 (P2(a3,a1,a2)),
% 0.55/1.02 inference(scs_inference,[],[2,1,7,6])).
% 0.55/1.02 cnf(24,plain,
% 0.55/1.02 (P1(x241,f5(a3,x241))),
% 0.55/1.02 inference(scs_inference,[],[2,4,7])).
% 0.55/1.02 cnf(52,plain,
% 0.55/1.02 (P2(f4(a3),x521,x521)),
% 0.55/1.02 inference(scs_inference,[],[3,24,2,4,6,7,9])).
% 0.55/1.02 cnf(70,plain,
% 0.55/1.02 (P2(f4(x701),f5(x701,x702),x702)),
% 0.55/1.02 inference(scs_inference,[],[3,2,4,9])).
% 0.55/1.02 cnf(71,plain,
% 0.55/1.02 (P2(x711,x712,f5(x711,x712))),
% 0.55/1.02 inference(rename_variables,[],[4])).
% 0.55/1.02 cnf(73,plain,
% 0.55/1.02 (P1(f5(f4(x731),f5(x731,x732)),x732)),
% 0.55/1.02 inference(scs_inference,[],[3,2,4,71,9,7])).
% 0.55/1.02 cnf(77,plain,
% 0.55/1.02 (P2(a3,f5(f4(x771),f5(x771,x772)),x772)),
% 0.55/1.02 inference(scs_inference,[],[73,2,6])).
% 0.55/1.02 cnf(78,plain,
% 0.55/1.02 (P2(a3,x781,x781)),
% 0.55/1.02 inference(rename_variables,[],[2])).
% 0.55/1.02 cnf(80,plain,
% 0.55/1.02 (P2(f4(f4(x801)),x802,f5(x801,x802))),
% 0.55/1.02 inference(scs_inference,[],[3,73,2,78,70,6,9])).
% 0.55/1.02 cnf(81,plain,
% 0.55/1.02 (P2(f4(x811),x811,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(82,plain,
% 0.55/1.02 (P2(a3,x821,x821)),
% 0.55/1.02 inference(rename_variables,[],[2])).
% 0.55/1.02 cnf(84,plain,
% 0.55/1.02 (P2(a3,f5(a3,x841),x841)),
% 0.55/1.02 inference(scs_inference,[],[3,81,73,2,78,82,70,6,9,8])).
% 0.55/1.02 cnf(86,plain,
% 0.55/1.02 (P2(f4(x861),x861,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(89,plain,
% 0.55/1.02 (P1(a3,f5(a3,f4(a3)))),
% 0.55/1.02 inference(scs_inference,[],[3,81,86,73,2,78,82,70,6,9,8,7])).
% 0.55/1.02 cnf(93,plain,
% 0.55/1.02 (P2(f4(x931),x931,f5(a3,f4(a3)))),
% 0.55/1.02 inference(scs_inference,[],[3,89,6])).
% 0.55/1.02 cnf(95,plain,
% 0.55/1.02 (P1(a3,f5(x951,f4(x951)))),
% 0.55/1.02 inference(scs_inference,[],[3,89,80,6,7])).
% 0.55/1.02 cnf(97,plain,
% 0.55/1.02 (P2(f4(x971),x971,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(99,plain,
% 0.55/1.02 (P2(f4(a3),x991,f5(f4(x992),f5(x992,x991)))),
% 0.55/1.02 inference(scs_inference,[],[3,97,89,2,77,80,6,7,9])).
% 0.55/1.02 cnf(104,plain,
% 0.55/1.02 (P1(a3,f5(f4(x1041),f5(x1041,a3)))),
% 0.55/1.02 inference(scs_inference,[],[3,99,7])).
% 0.55/1.02 cnf(106,plain,
% 0.55/1.02 (P2(f4(x1061),x1061,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(112,plain,
% 0.55/1.02 (P2(f4(x1121),x1121,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(113,plain,
% 0.55/1.02 (P2(a3,x1131,x1131)),
% 0.55/1.02 inference(rename_variables,[],[2])).
% 0.55/1.02 cnf(115,plain,
% 0.55/1.02 (P2(f4(f4(a3)),x1151,x1151)),
% 0.55/1.02 inference(scs_inference,[],[3,106,112,95,2,113,93,52,99,7,6,8,9])).
% 0.55/1.02 cnf(122,plain,
% 0.55/1.02 (P1(a3,f4(a3))),
% 0.55/1.02 inference(scs_inference,[],[3,104,115,6,7])).
% 0.55/1.02 cnf(138,plain,
% 0.55/1.02 (P2(f4(x1381),x1381,f4(a3))),
% 0.55/1.02 inference(scs_inference,[],[3,122,2,84,7,6])).
% 0.55/1.02 cnf(151,plain,
% 0.55/1.02 (P2(f4(x1511),x1511,f4(a3))),
% 0.55/1.02 inference(rename_variables,[],[138])).
% 0.55/1.02 cnf(152,plain,
% 0.55/1.02 (P2(f4(x1521),x1521,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(154,plain,
% 0.55/1.02 (P2(a3,a3,f4(a3))),
% 0.55/1.02 inference(scs_inference,[],[3,152,2,138,151,9,8])).
% 0.55/1.02 cnf(161,plain,
% 0.55/1.02 (P2(f4(x1611),x1611,a3)),
% 0.55/1.02 inference(rename_variables,[],[3])).
% 0.55/1.02 cnf(167,plain,
% 0.55/1.02 (P1(x1671,f5(f4(x1672),f5(x1672,x1671)))),
% 0.55/1.02 inference(scs_inference,[],[3,161,2,154,99,9,8,7])).
% 0.55/1.02 cnf(475,plain,
% 0.55/1.02 ($false),
% 0.55/1.02 inference(scs_inference,[],[12,5,167,2,6,7]),
% 0.55/1.02 ['proof']).
% 0.55/1.02 % SZS output end Proof
% 0.55/1.02 % Total time :0.410000s
%------------------------------------------------------------------------------