%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP023-2 : 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 : n029.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 06:38:30 EDT 2024
% Result : Unsatisfiable 0.47s 0.61s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP023-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.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 09:27:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.47/0.57 start to proof:theBenchmark
% 0.47/0.61 %-------------------------------------------
% 0.47/0.61 % File :CSE---1.7
% 0.47/0.61 % Problem :theBenchmark
% 0.47/0.61 % Transform :cnf
% 0.47/0.61 % Format :tptp:raw
% 0.47/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.47/0.61
% 0.47/0.61 % Result :Theorem 0.010000s
% 0.47/0.61 % Output :CNFRefutation 0.010000s
% 0.47/0.61 %-------------------------------------------
% 0.47/0.61 %--------------------------------------------------------------------------
% 0.47/0.61 % File : GRP023-2 : TPTP v8.2.0. Released v1.0.0.
% 0.47/0.61 % Domain : Group Theory
% 0.47/0.61 % Problem : The inverse of the identity is the identity
% 0.47/0.61 % Version : [MOW76] (equality) axioms : Augmented.
% 0.47/0.61 % English :
% 0.47/0.61
% 0.47/0.61 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.47/0.61 % Source : [TPTP]
% 0.47/0.61 % Names : Established lemma [MOW76]
% 0.47/0.61
% 0.47/0.61 % Status : Unsatisfiable
% 0.47/0.61 % 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
% 0.47/0.61 % Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 1 RR)
% 0.47/0.61 % Number of literals : 6 ( 6 equ; 1 neg)
% 0.47/0.61 % Maximal clause size : 1 ( 1 avg)
% 0.47/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.47/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.47/0.61 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.47/0.61 % Number of variables : 7 ( 0 sgn)
% 0.47/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.47/0.61
% 0.47/0.61 % Comments :
% 0.47/0.61 %--------------------------------------------------------------------------
% 0.47/0.61 %----Include equality group theory axioms
% 0.47/0.61 include('Axioms/GRP004-0.ax').
% 0.47/0.61 %--------------------------------------------------------------------------
% 0.47/0.61 %----Redundant two axioms
% 0.47/0.61 cnf(right_identity,axiom,
% 0.47/0.61 multiply(X,identity) = X ).
% 0.47/0.61
% 0.47/0.61 cnf(right_inverse,axiom,
% 0.47/0.61 multiply(X,inverse(X)) = identity ).
% 0.47/0.61
% 0.47/0.61 cnf(prove_inverse_of_id_is_id,negated_conjecture,
% 0.47/0.61 inverse(identity) != identity ).
% 0.47/0.61
% 0.47/0.61 %--------------------------------------------------------------------------
% 0.47/0.61 %-------------------------------------------
% 0.47/0.61 % Proof found
% 0.47/0.61 % SZS status Theorem for theBenchmark
% 0.47/0.61 % SZS output start Proof
% 0.47/0.61 %ClaNum:12(EqnAxiom:6)
% 0.47/0.61 %VarNum:14(SingletonVarNum:7)
% 0.47/0.61 %MaxLitNum:1
% 0.47/0.61 %MaxfuncDepth:2
% 0.47/0.61 %SharedTerms:3
% 0.47/0.61 %goalClause: 12
% 0.47/0.61 %singleGoalClaCount:1
% 0.47/0.61 [12]~E(f3(a1),a1)
% 0.47/0.61 [7]E(f2(x71,a1),x71)
% 0.47/0.61 [8]E(f2(a1,x81),x81)
% 0.47/0.61 [9]E(f2(x91,f3(x91)),a1)
% 0.47/0.61 [10]E(f2(f3(x101),x101),a1)
% 0.47/0.61 [11]E(f2(f2(x111,x112),x113),f2(x111,f2(x112,x113)))
% 0.47/0.61 %EqnAxiom
% 0.47/0.61 [1]E(x11,x11)
% 0.47/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.47/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.47/0.61 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.47/0.61 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.47/0.61 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.47/0.61
% 0.47/0.61 %-------------------------------------------
% 0.47/0.62 cnf(13,plain,
% 0.47/0.62 (E(x131,f2(x131,a1))),
% 0.47/0.62 inference(scs_inference,[],[7,2])).
% 0.47/0.62 cnf(14,plain,
% 0.47/0.62 (~E(f3(a1),f2(a1,a1))),
% 0.47/0.62 inference(scs_inference,[],[12,7,2,3])).
% 0.47/0.62 cnf(16,plain,
% 0.47/0.62 (E(x161,f2(a1,x161))),
% 0.47/0.62 inference(scs_inference,[],[8,2])).
% 0.47/0.62 cnf(17,plain,
% 0.47/0.62 (E(f2(x171,x172),f2(x171,f2(x172,a1)))),
% 0.47/0.62 inference(scs_inference,[],[13,8,11,2,3])).
% 0.47/0.62 cnf(20,plain,
% 0.47/0.62 (E(f2(x201,f2(x202,a1)),f2(x201,x202))),
% 0.47/0.62 inference(scs_inference,[],[17,2])).
% 0.47/0.62 cnf(21,plain,
% 0.47/0.62 (E(x211,f2(a1,f2(x211,a1)))),
% 0.47/0.62 inference(scs_inference,[],[16,17,2,3])).
% 0.47/0.62 cnf(23,plain,
% 0.47/0.62 (E(f2(a1,f2(x231,a1)),x231)),
% 0.47/0.62 inference(scs_inference,[],[21,2])).
% 0.47/0.62 cnf(24,plain,
% 0.47/0.62 (~E(f3(a1),f2(a1,f2(a1,a1)))),
% 0.47/0.62 inference(scs_inference,[],[20,21,14,2,3])).
% 0.47/0.62 cnf(26,plain,
% 0.47/0.62 (E(a1,f2(x261,f3(x261)))),
% 0.47/0.62 inference(scs_inference,[],[9,2])).
% 0.47/0.62 cnf(29,plain,
% 0.47/0.62 (E(a1,f2(f3(x291),x291))),
% 0.47/0.62 inference(scs_inference,[],[10,2])).
% 0.47/0.62 cnf(30,plain,
% 0.47/0.62 (E(f2(a1,f2(a1,a1)),f2(x301,f3(x301)))),
% 0.47/0.62 inference(scs_inference,[],[23,26,10,2,3])).
% 0.47/0.62 cnf(32,plain,
% 0.47/0.62 (E(f2(x321,f3(x321)),f2(a1,f2(a1,a1)))),
% 0.47/0.62 inference(scs_inference,[],[30,2])).
% 0.47/0.62 cnf(33,plain,
% 0.47/0.62 (E(f2(a1,f2(a1,a1)),f2(f3(x331),x331))),
% 0.47/0.62 inference(scs_inference,[],[29,23,30,2,3])).
% 0.47/0.62 cnf(36,plain,
% 0.47/0.62 ($false),
% 0.47/0.62 inference(scs_inference,[],[32,16,33,24,2,3]),
% 0.47/0.62 ['proof']).
% 0.47/0.62 % SZS output end Proof
% 0.47/0.62 % Total time :0.010000s
%------------------------------------------------------------------------------