%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP041-2 : 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 : n027.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 0.52s 0.62s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP041-2 : 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
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 13:13:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.52/0.59 start to proof:theBenchmark
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 % File :CSE---1.7
% 0.52/0.62 % Problem :theBenchmark
% 0.52/0.62 % Transform :cnf
% 0.52/0.62 % Format :tptp:raw
% 0.52/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.62
% 0.52/0.62 % Result :Theorem 0.000000s
% 0.52/0.62 % Output :CNFRefutation 0.000000s
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 %--------------------------------------------------------------------------
% 0.52/0.62 % File : GRP041-2 : TPTP v8.2.0. Released v1.0.0.
% 0.52/0.62 % Domain : Group Theory
% 0.52/0.62 % Problem : Reflexivity is dependent
% 0.52/0.62 % Version : [Ver92] axioms.
% 0.52/0.62 % English :
% 0.52/0.62
% 0.52/0.62 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.52/0.62 % Source : [Ver92]
% 0.52/0.62 % Names : - [Ver92]
% 0.52/0.62
% 0.52/0.62 % Status : Unsatisfiable
% 0.52/0.62 % 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
% 0.52/0.62 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 5 RR)
% 0.52/0.62 % Number of literals : 18 ( 0 equ; 11 neg)
% 0.52/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.52/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.62 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.52/0.62 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.52/0.62 % Number of variables : 24 ( 0 sgn)
% 0.52/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.52/0.62
% 0.52/0.62 % Comments :
% 0.52/0.62 %--------------------------------------------------------------------------
% 0.52/0.62 %----Include Veroff's minimal axiom set
% 0.52/0.62 include('Axioms/GRP005-0.ax').
% 0.52/0.62 %--------------------------------------------------------------------------
% 0.52/0.62 cnf(prove_reflexivity,negated_conjecture,
% 0.52/0.62 ~ equalish(a,a) ).
% 0.52/0.62
% 0.52/0.62 %--------------------------------------------------------------------------
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 % Proof found
% 0.52/0.62 % SZS status Theorem for theBenchmark
% 0.52/0.62 % SZS output start Proof
% 0.52/0.63 %ClaNum:8(EqnAxiom:0)
% 0.52/0.63 %VarNum:48(SingletonVarNum:24)
% 0.52/0.63 %MaxLitNum:4
% 0.52/0.63 %MaxfuncDepth:1
% 0.52/0.63 %SharedTerms:3
% 0.52/0.63 %goalClause: 4
% 0.52/0.63 %singleGoalClaCount:1
% 0.52/0.63 [4]~P2(a2,a2)
% 0.52/0.63 [1]P1(a1,x11,x11)
% 0.52/0.63 [2]P1(f3(x21),x21,a1)
% 0.52/0.63 [3]P1(x31,x32,f4(x31,x32))
% 0.52/0.63 [5]~P1(x51,x52,x54)+P1(x51,x52,x53)+~P2(x54,x53)
% 0.52/0.63 [6]~P1(x63,x64,x61)+P2(x61,x62)+~P1(x63,x64,x62)
% 0.52/0.63 [7]~P1(x76,x74,x71)+P1(x71,x72,x73)+~P1(x74,x72,x75)+~P1(x76,x75,x73)
% 0.52/0.63 [8]~P1(x81,x86,x84)+P1(x81,x82,x83)+~P1(x84,x85,x83)+~P1(x86,x85,x82)
% 0.52/0.63 %EqnAxiom
% 0.52/0.63
% 0.52/0.63 %-------------------------------------------
% 0.52/0.63 cnf(9,plain,
% 0.52/0.63 ($false),
% 0.52/0.63 inference(scs_inference,[],[1,4,6]),
% 0.52/0.63 ['proof']).
% 0.52/0.63 % SZS output end Proof
% 0.52/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------