TSTP Solution File: GRP042-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP042-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 00:10:44 EDT 2023
% Result : Unsatisfiable 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:13:15 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 start to proof:theBenchmark
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % File :CSE---1.6
% 0.19/0.66 % Problem :theBenchmark
% 0.19/0.66 % Transform :cnf
% 0.19/0.66 % Format :tptp:raw
% 0.19/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.66
% 0.19/0.66 % Result :Theorem 0.000000s
% 0.19/0.66 % Output :CNFRefutation 0.000000s
% 0.19/0.66 %-------------------------------------------
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 % File : GRP042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.67 % Domain : Group Theory
% 0.19/0.67 % Problem : Symmetry is dependent
% 0.19/0.67 % Version : [Ver92] axioms.
% 0.19/0.67 % English :
% 0.19/0.67
% 0.19/0.67 % Refs : [Ver92] Veroff (1992), Email to G. Sutcliffe
% 0.19/0.67 % Source : [Ver92]
% 0.19/0.67 % Names : - [Ver92]
% 0.19/0.67
% 0.19/0.67 % Status : Unsatisfiable
% 0.19/0.67 % 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
% 0.19/0.67 % Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 6 RR)
% 0.19/0.67 % Number of literals : 19 ( 0 equ; 11 neg)
% 0.19/0.67 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.67 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.19/0.67 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.19/0.67 % Number of variables : 24 ( 0 sgn)
% 0.19/0.67 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.67
% 0.19/0.67 % Comments :
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 %----Include Veroff's minimal axiom set
% 0.19/0.67 include('Axioms/GRP005-0.ax').
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 cnf(a_equals_b,hypothesis,
% 0.19/0.67 equalish(a,b) ).
% 0.19/0.67
% 0.19/0.67 cnf(prove_symmetry,negated_conjecture,
% 0.19/0.67 ~ equalish(b,a) ).
% 0.19/0.67
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % Proof found
% 0.19/0.67 % SZS status Theorem for theBenchmark
% 0.19/0.67 % SZS output start Proof
% 0.19/0.67 %ClaNum:9(EqnAxiom:0)
% 0.19/0.67 %VarNum:48(SingletonVarNum:24)
% 0.19/0.67 %MaxLitNum:4
% 0.19/0.67 %MaxfuncDepth:1
% 0.19/0.67 %SharedTerms:5
% 0.19/0.67 %goalClause: 5
% 0.19/0.67 %singleGoalClaCount:1
% 0.19/0.67 [1]P1(a1,a2)
% 0.19/0.67 [5]~P1(a2,a1)
% 0.19/0.67 [2]P2(a3,x21,x21)
% 0.19/0.67 [3]P2(f4(x31),x31,a3)
% 0.19/0.67 [4]P2(x41,x42,f5(x41,x42))
% 0.19/0.67 [6]~P2(x61,x62,x64)+P2(x61,x62,x63)+~P1(x64,x63)
% 0.19/0.67 [7]~P2(x73,x74,x71)+P1(x71,x72)+~P2(x73,x74,x72)
% 0.19/0.67 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83)
% 0.19/0.67 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92)
% 0.19/0.67 %EqnAxiom
% 0.19/0.67
% 0.19/0.67 %-------------------------------------------
% 0.19/0.68 cnf(11,plain,
% 0.19/0.68 (P2(a3,a1,a2)),
% 0.19/0.68 inference(scs_inference,[],[2,1,7,6])).
% 0.19/0.68 cnf(37,plain,
% 0.19/0.68 ($false),
% 0.19/0.68 inference(scs_inference,[],[2,11,5,7]),
% 0.19/0.68 ['proof']).
% 0.19/0.68 % SZS output end Proof
% 0.19/0.68 % Total time :0.000000s
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