TSTP Solution File: GRP457-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 00:12:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 20:12:39 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 % File : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% 0.20/0.61 % Domain : Group Theory
% 0.20/0.61 % Problem : Axiom for group theory, in division and identity, part 1
% 0.20/0.61 % Version : [McC93] (equality) axioms.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.20/0.61 % Source : [TPTP]
% 0.20/0.61 % Names :
% 0.20/0.61
% 0.20/0.61 % Status : Unsatisfiable
% 0.20/0.61 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.4.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.00 v5.1.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.6.0
% 0.20/0.61 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.20/0.61 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.20/0.61 % Maximal clause size : 1 ( 1 avg)
% 0.20/0.61 % Maximal term depth : 7 ( 2 avg)
% 0.20/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.20/0.61 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.20/0.61 % Number of variables : 7 ( 0 sgn)
% 0.20/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.20/0.61
% 0.20/0.61 % Comments : A UEQ part of GRP067-1
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 cnf(single_axiom,axiom,
% 0.20/0.61 divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ).
% 0.20/0.61
% 0.20/0.61 cnf(multiply,axiom,
% 0.20/0.61 multiply(A,B) = divide(A,divide(identity,B)) ).
% 0.20/0.61
% 0.20/0.61 cnf(inverse,axiom,
% 0.20/0.61 inverse(A) = divide(identity,A) ).
% 0.20/0.61
% 0.20/0.61 cnf(identity,axiom,
% 0.20/0.61 identity = divide(A,A) ).
% 0.20/0.61
% 0.20/0.61 cnf(prove_these_axioms_1,negated_conjecture,
% 0.20/0.61 multiply(inverse(a1),a1) != identity ).
% 0.20/0.61
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:8(EqnAxiom:5)
% 0.20/0.61 %VarNum:10(SingletonVarNum:4)
% 0.20/0.61 %MaxLitNum:1
% 0.20/0.61 %MaxfuncDepth:6
% 0.20/0.61 %SharedTerms:5
% 0.20/0.61 %goalClause: 8
% 0.20/0.61 %singleGoalClaCount:1
% 0.20/0.61 [8]~E(f1(f1(a3,a2),f1(a3,a2)),a3)
% 0.20/0.61 [6]E(f1(x61,x61),a3)
% 0.20/0.61 [7]E(f1(f1(f1(x71,x71),f1(x71,f1(x72,f1(f1(a3,x71),x73)))),x73),x72)
% 0.20/0.61 %EqnAxiom
% 0.20/0.61 [1]E(x11,x11)
% 0.20/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.61 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.20/0.61 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.20/0.61
% 0.20/0.61 %-------------------------------------------
% 0.20/0.62 cnf(9,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[8,6]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
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