%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP003-2 : 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 06:38:25 EDT 2024
% Result : Unsatisfiable 77.99s 78.23s
% Output : CNFRefutation 77.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP003-2 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.25 % Computer : n023.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Thu Jun 20 12:28:23 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.10/0.40 start to proof:theBenchmark
% 77.99/78.22 %-------------------------------------------
% 77.99/78.22 % File :CSE---1.7
% 77.99/78.22 % Problem :theBenchmark
% 77.99/78.22 % Transform :cnf
% 77.99/78.22 % Format :tptp:raw
% 77.99/78.22 % Command :java -jar mcs_scs.jar %d %s
% 77.99/78.22
% 77.99/78.22 % Result :Theorem 77.640000s
% 77.99/78.22 % Output :CNFRefutation 77.640000s
% 77.99/78.22 %-------------------------------------------
% 77.99/78.22 %--------------------------------------------------------------------------
% 77.99/78.22 % File : GRP003-2 : TPTP v8.2.0. Released v1.0.0.
% 77.99/78.22 % Domain : Group Theory
% 77.99/78.22 % Problem : The left identity is also a right identity
% 77.99/78.22 % Version : [Ver92] axioms.
% 77.99/78.23 % English :
% 77.99/78.23
% 77.99/78.23 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 77.99/78.23 % Source : [TPTP]
% 77.99/78.23 % Names :
% 77.99/78.23
% 77.99/78.23 % Status : Unsatisfiable
% 77.99/78.23 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.1.0, 0.00 v2.0.0
% 77.99/78.23 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 5 RR)
% 77.99/78.23 % Number of literals : 18 ( 0 equ; 11 neg)
% 77.99/78.23 % Maximal clause size : 4 ( 2 avg)
% 77.99/78.23 % Maximal term depth : 2 ( 1 avg)
% 77.99/78.23 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 77.99/78.23 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 77.99/78.23 % Number of variables : 24 ( 0 sgn)
% 77.99/78.23 % SPC : CNF_UNS_RFO_NEQ_HRN
% 77.99/78.23
% 77.99/78.23 % Comments :
% 77.99/78.23 %--------------------------------------------------------------------------
% 77.99/78.23 %----Include Veroff's minimal axiom set
% 77.99/78.23 include('Axioms/GRP005-0.ax').
% 77.99/78.23 %--------------------------------------------------------------------------
% 77.99/78.23 cnf(prove_right_identity,negated_conjecture,
% 77.99/78.23 ~ product(a,identity,a) ).
% 77.99/78.23
% 77.99/78.23 %--------------------------------------------------------------------------
% 77.99/78.23 %-------------------------------------------
% 77.99/78.23 % Proof found
% 77.99/78.23 % SZS status Theorem for theBenchmark
% 77.99/78.23 % SZS output start Proof
% 77.99/78.23 %ClaNum:8(EqnAxiom:0)
% 77.99/78.23 %VarNum:48(SingletonVarNum:24)
% 77.99/78.23 %MaxLitNum:4
% 77.99/78.23 %MaxfuncDepth:1
% 77.99/78.23 %SharedTerms:3
% 77.99/78.23 %goalClause: 4
% 77.99/78.23 %singleGoalClaCount:1
% 77.99/78.23 [4]~P1(a2,a1,a2)
% 77.99/78.23 [1]P1(a1,x11,x11)
% 77.99/78.23 [2]P1(f3(x21),x21,a1)
% 77.99/78.23 [3]P1(x31,x32,f4(x31,x32))
% 77.99/78.23 [5]~P1(x51,x52,x54)+P1(x51,x52,x53)+~P2(x54,x53)
% 77.99/78.23 [6]~P1(x63,x64,x61)+P2(x61,x62)+~P1(x63,x64,x62)
% 77.99/78.23 [7]~P1(x76,x74,x71)+P1(x71,x72,x73)+~P1(x74,x72,x75)+~P1(x76,x75,x73)
% 77.99/78.23 [8]~P1(x81,x86,x84)+P1(x81,x82,x83)+~P1(x84,x85,x83)+~P1(x86,x85,x82)
% 77.99/78.23 %EqnAxiom
% 77.99/78.23
% 77.99/78.23 %-------------------------------------------
% 77.99/78.24 cnf(9,plain,
% 77.99/78.24 (P2(x91,x91)),
% 77.99/78.24 inference(scs_inference,[],[1,6])).
% 77.99/78.24 cnf(11,plain,
% 77.99/78.24 (P1(f4(f3(x111),a1),x111,a1)),
% 77.99/78.24 inference(scs_inference,[],[1,3,2,6,7])).
% 77.99/78.24 cnf(13,plain,
% 77.99/78.24 (P1(x131,x132,f4(x131,x132))),
% 77.99/78.24 inference(rename_variables,[],[3])).
% 77.99/78.24 cnf(15,plain,
% 77.99/78.24 (P1(a1,f4(a1,a1),a1)),
% 77.99/78.24 inference(scs_inference,[],[1,3,13,2,6,7,8])).
% 77.99/78.24 cnf(20,plain,
% 77.99/78.24 (P2(a1,f4(a1,f4(a1,a1)))),
% 77.99/78.24 inference(scs_inference,[],[15,3,6])).
% 77.99/78.24 cnf(21,plain,
% 77.99/78.24 (P1(x211,x212,f4(x211,x212))),
% 77.99/78.24 inference(rename_variables,[],[3])).
% 77.99/78.24 cnf(23,plain,
% 77.99/78.24 (P1(a1,f4(f4(a1,a1),f4(a1,a1)),a1)),
% 77.99/78.24 inference(scs_inference,[],[15,3,21,6,8])).
% 77.99/78.24 cnf(30,plain,
% 77.99/78.24 (P2(f4(f3(x301),x301),a1)),
% 77.99/78.24 inference(scs_inference,[],[3,2,6])).
% 77.99/78.24 cnf(36,plain,
% 77.99/78.24 (P2(a1,f4(f4(a1,a1),f4(a1,a1)))),
% 77.99/78.24 inference(scs_inference,[],[23,1,6])).
% 77.99/78.24 cnf(45,plain,
% 77.99/78.24 (P1(a1,x451,x451)),
% 77.99/78.24 inference(rename_variables,[],[1])).
% 77.99/78.24 cnf(47,plain,
% 77.99/78.24 (P1(a1,x471,f4(f4(a1,a1),x471))),
% 77.99/78.24 inference(scs_inference,[],[15,36,3,1,45,5,6,7])).
% 77.99/78.24 cnf(55,plain,
% 77.99/78.24 (P1(x551,x552,f4(x551,x552))),
% 77.99/78.24 inference(rename_variables,[],[3])).
% 77.99/78.24 cnf(57,plain,
% 77.99/78.24 (P1(a1,x571,f4(a1,x572))+~P1(f4(a1,a1),x571,x572)),
% 77.99/78.24 inference(scs_inference,[],[4,15,3,55,8,7])).
% 77.99/78.24 cnf(68,plain,
% 77.99/78.24 (P1(a1,f4(f3(x681),x681),a1)),
% 77.99/78.24 inference(scs_inference,[],[1,30,5])).
% 77.99/78.24 cnf(69,plain,
% 77.99/78.24 (P1(a1,x691,x691)),
% 77.99/78.24 inference(rename_variables,[],[1])).
% 77.99/78.24 cnf(71,plain,
% 77.99/78.24 (P2(x711,f4(a1,x711))),
% 77.99/78.24 inference(scs_inference,[],[1,69,3,30,5,6])).
% 77.99/78.24 cnf(78,plain,
% 77.99/78.24 (~P1(f4(f4(a1,a1),a1),x781,x782)+P1(a1,x781,f4(a1,x782))),
% 77.99/78.24 inference(scs_inference,[],[1,3,57,8])).
% 77.99/78.24 cnf(80,plain,
% 77.99/78.24 (P1(a1,x801,x801)),
% 77.99/78.24 inference(rename_variables,[],[1])).
% 77.99/78.24 cnf(82,plain,
% 77.99/78.24 (P2(x821,f4(f4(a1,a1),x821))),
% 77.99/78.24 inference(scs_inference,[],[1,80,47,20,5,6])).
% 77.99/78.24 cnf(85,plain,
% 77.99/78.24 (~P1(f4(a2,a1),f4(f3(x851),x851),a2)),
% 77.99/78.24 inference(scs_inference,[],[1,80,4,68,3,47,20,5,6,8])).
% 77.99/78.24 cnf(125,plain,
% 77.99/78.24 (~P1(f4(a2,a1),f3(a2),a1)),
% 77.99/78.24 inference(scs_inference,[],[1,3,85,8])).
% 77.99/78.24 cnf(136,plain,
% 77.99/78.24 (~P1(f3(f3(a2)),a1,f4(a2,a1))),
% 77.99/78.24 inference(scs_inference,[],[1,2,125,7])).
% 77.99/78.24 cnf(162,plain,
% 77.99/78.24 (P1(f3(x1621),x1621,f4(a1,a1))),
% 77.99/78.24 inference(scs_inference,[],[2,71,5])).
% 77.99/78.24 cnf(172,plain,
% 77.99/78.24 (P1(f3(x1721),x1721,f4(f4(a1,a1),f4(a1,a1)))),
% 77.99/78.24 inference(scs_inference,[],[2,36,5])).
% 77.99/78.24 cnf(187,plain,
% 77.99/78.24 (P1(x1871,x1872,f4(f4(a1,a1),f4(x1871,x1872)))),
% 77.99/78.24 inference(scs_inference,[],[3,82,5])).
% 77.99/78.24 cnf(202,plain,
% 77.99/78.24 (P2(f4(a1,x2021),f4(f4(a1,a1),x2021))),
% 77.99/78.24 inference(scs_inference,[],[3,47,6])).
% 77.99/78.24 cnf(273,plain,
% 77.99/78.24 (P2(f4(f4(a1,a1),x2731),x2731)),
% 77.99/78.24 inference(scs_inference,[],[47,1,6])).
% 77.99/78.24 cnf(322,plain,
% 77.99/78.24 (~P1(f4(f4(a1,a1),f4(a1,a1)),a2,f4(a2,a1))),
% 77.99/78.24 inference(scs_inference,[],[136,172,2,8])).
% 77.99/78.24 cnf(417,plain,
% 77.99/78.24 (~P1(a1,a2,f4(a2,a1))),
% 77.99/78.24 inference(scs_inference,[],[322,187,1,7])).
% 77.99/78.24 cnf(455,plain,
% 77.99/78.24 (~P1(a1,a2,f4(f4(a1,a1),f4(a2,a1)))),
% 77.99/78.24 inference(scs_inference,[],[417,273,5])).
% 77.99/78.24 cnf(474,plain,
% 77.99/78.24 (~P1(f4(a1,a1),a2,f4(a2,a1))),
% 77.99/78.24 inference(scs_inference,[],[455,187,11,202,5,7,78,57])).
% 77.99/78.24 cnf(2814,plain,
% 77.99/78.24 (~P1(x28141,f4(a1,a1),f4(a2,a1))+~P1(x28141,f3(a2),f4(a1,a1))),
% 77.99/78.24 inference(scs_inference,[],[474,162,7])).
% 77.99/78.24 cnf(3440,plain,
% 77.99/78.24 (~P1(f3(a2),f4(a2,a1),f4(a1,a1))),
% 77.99/78.24 inference(scs_inference,[],[162,2,1,2814,8])).
% 77.99/78.24 cnf(3521,plain,
% 77.99/78.24 (P1(x35211,x35212,f4(x35211,x35212))),
% 77.99/78.24 inference(rename_variables,[],[3])).
% 77.99/78.24 cnf(3524,plain,
% 77.99/78.24 ($false),
% 77.99/78.24 inference(scs_inference,[],[3440,9,2,3,3521,8,5]),
% 77.99/78.24 ['proof']).
% 77.99/78.24 % SZS output end Proof
% 77.99/78.24 % Total time :77.640000s
%------------------------------------------------------------------------------