TSTP Solution File: GRP023-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 00:10:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:17:37 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % File :CSE---1.6
% 0.20/0.62 % Problem :theBenchmark
% 0.20/0.62 % Transform :cnf
% 0.20/0.62 % Format :tptp:raw
% 0.20/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.62
% 0.20/0.62 % Result :Theorem 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.62 % Domain : Group Theory
% 0.20/0.62 % Problem : The inverse of the identity is the identity
% 0.20/0.62 % Version : [MOW76] (equality) axioms : Augmented.
% 0.20/0.62 % English :
% 0.20/0.62
% 0.20/0.62 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.62 % Source : [TPTP]
% 0.20/0.62 % Names : Established lemma [MOW76]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 0.20/0.62 % Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 1 RR)
% 0.20/0.62 % Number of literals : 6 ( 6 equ; 1 neg)
% 0.20/0.62 % Maximal clause size : 1 ( 1 avg)
% 0.20/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.62 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.20/0.62 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 7 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.63 %----Include equality group theory axioms
% 0.20/0.63 include('Axioms/GRP004-0.ax').
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %----Redundant two axioms
% 0.20/0.63 cnf(right_identity,axiom,
% 0.20/0.63 multiply(X,identity) = X ).
% 0.20/0.63
% 0.20/0.63 cnf(right_inverse,axiom,
% 0.20/0.63 multiply(X,inverse(X)) = identity ).
% 0.20/0.63
% 0.20/0.63 cnf(prove_inverse_of_id_is_id,negated_conjecture,
% 0.20/0.63 inverse(identity) != identity ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:12(EqnAxiom:6)
% 0.20/0.63 %VarNum:14(SingletonVarNum:7)
% 0.20/0.63 %MaxLitNum:1
% 0.20/0.63 %MaxfuncDepth:2
% 0.20/0.63 %SharedTerms:3
% 0.20/0.63 %goalClause: 12
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [12]~E(f3(a1),a1)
% 0.20/0.63 [7]E(f2(x71,a1),x71)
% 0.20/0.63 [8]E(f2(a1,x81),x81)
% 0.20/0.63 [9]E(f2(x91,f3(x91)),a1)
% 0.20/0.63 [10]E(f2(f3(x101),x101),a1)
% 0.20/0.63 [11]E(f2(f2(x111,x112),x113),f2(x111,f2(x112,x113)))
% 0.20/0.63 %EqnAxiom
% 0.20/0.63 [1]E(x11,x11)
% 0.20/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.63 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.20/0.63 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.20/0.63 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(13,plain,
% 0.20/0.63 (E(x131,f2(x131,a1))),
% 0.20/0.63 inference(scs_inference,[],[7,2])).
% 0.20/0.63 cnf(20,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[12,10,13,2,3]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
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