TSTP Solution File: GRP549-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP549-1 : 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 : n007.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 00:12:24 EDT 2023
% Result : Unsatisfiable 0.56s 0.64s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP549-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 01:41:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.51/0.59 start to proof:theBenchmark
% 0.56/0.63 %-------------------------------------------
% 0.56/0.63 % File :CSE---1.6
% 0.56/0.63 % Problem :theBenchmark
% 0.56/0.63 % Transform :cnf
% 0.56/0.63 % Format :tptp:raw
% 0.56/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.63
% 0.56/0.63 % Result :Theorem 0.000000s
% 0.56/0.63 % Output :CNFRefutation 0.000000s
% 0.56/0.63 %-------------------------------------------
% 0.56/0.64 %--------------------------------------------------------------------------
% 0.56/0.64 % File : GRP549-1 : TPTP v8.1.2. Released v2.6.0.
% 0.56/0.64 % Domain : Group Theory (Abelian)
% 0.56/0.64 % Problem : Axiom for Abelian group theory, in division and identity, part 1
% 0.56/0.64 % Version : [McC93] (equality) axioms.
% 0.56/0.64 % English :
% 0.56/0.64
% 0.56/0.64 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.56/0.64 % Source : [TPTP]
% 0.56/0.64 % Names :
% 0.56/0.64
% 0.56/0.64 % Status : Unsatisfiable
% 0.56/0.64 % 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, 0.06 v7.0.0, 0.05 v6.4.0, 0.11 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.00 v2.6.0
% 0.56/0.64 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.56/0.64 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.56/0.64 % Maximal clause size : 1 ( 1 avg)
% 0.56/0.64 % Maximal term depth : 5 ( 2 avg)
% 0.56/0.64 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.56/0.64 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.56/0.64 % Number of variables : 7 ( 0 sgn)
% 0.56/0.64 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.56/0.64
% 0.56/0.64 % Comments : A UEQ part of GRP095-1
% 0.56/0.64 %--------------------------------------------------------------------------
% 0.56/0.64 cnf(single_axiom,axiom,
% 0.56/0.64 divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ).
% 0.56/0.64
% 0.56/0.64 cnf(multiply,axiom,
% 0.56/0.64 multiply(A,B) = divide(A,divide(identity,B)) ).
% 0.56/0.64
% 0.56/0.64 cnf(inverse,axiom,
% 0.56/0.64 inverse(A) = divide(identity,A) ).
% 0.56/0.64
% 0.56/0.64 cnf(identity,axiom,
% 0.56/0.64 identity = divide(A,A) ).
% 0.56/0.64
% 0.56/0.64 cnf(prove_these_axioms_1,negated_conjecture,
% 0.56/0.64 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
% 0.56/0.64
% 0.56/0.64 %--------------------------------------------------------------------------
% 0.56/0.64 %-------------------------------------------
% 0.56/0.64 % Proof found
% 0.56/0.64 % SZS status Theorem for theBenchmark
% 0.56/0.64 % SZS output start Proof
% 0.56/0.64 %ClaNum:8(EqnAxiom:5)
% 0.56/0.64 %VarNum:8(SingletonVarNum:4)
% 0.56/0.64 %MaxLitNum:1
% 0.56/0.64 %MaxfuncDepth:4
% 0.56/0.64 %SharedTerms:8
% 0.56/0.64 %goalClause: 8
% 0.56/0.64 %singleGoalClaCount:1
% 0.56/0.64 [8]~E(f1(f1(a4,a2),f1(a4,a2)),f1(f1(a4,a3),f1(a4,a3)))
% 0.56/0.64 [6]E(f1(x61,x61),a4)
% 0.56/0.64 [7]E(f1(f1(a4,x71),f1(f1(f1(x72,x71),x73),x72)),x73)
% 0.56/0.64 %EqnAxiom
% 0.56/0.64 [1]E(x11,x11)
% 0.56/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.64 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.56/0.64 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.56/0.64
% 0.56/0.64 %-------------------------------------------
% 0.56/0.64 cnf(9,plain,
% 0.56/0.64 (E(a4,f1(x91,x91))),
% 0.56/0.64 inference(scs_inference,[],[6,2])).
% 0.56/0.64 cnf(15,plain,
% 0.56/0.64 ($false),
% 0.56/0.64 inference(scs_inference,[],[8,6,9,2,3]),
% 0.56/0.64 ['proof']).
% 0.56/0.64 % SZS output end Proof
% 0.56/0.64 % Total time :0.000000s
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