TSTP Solution File: GRP542-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP542-1 : 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 : n005.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 00:12:22 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP542-1 : 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
% 0.13/0.34 % Computer : n005.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:22:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : GRP542-1 : TPTP v8.1.2. Released v2.6.0.
% 0.19/0.61 % Domain : Group Theory (Abelian)
% 0.19/0.61 % Problem : Axiom for Abelian group theory, in division and identity, part 2
% 0.19/0.61 % Version : [McC93] (equality) axioms.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.19/0.61 % Source : [TPTP]
% 0.19/0.61 % Names :
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % Rating : 0.00 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.4.0, 0.11 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.14 v5.5.0, 0.11 v5.4.0, 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
% 0.19/0.61 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.19/0.61 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.19/0.61 % Maximal clause size : 1 ( 1 avg)
% 0.19/0.61 % Maximal term depth : 6 ( 2 avg)
% 0.19/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.19/0.61 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.19/0.61 % Number of variables : 7 ( 0 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.19/0.61
% 0.19/0.61 % Comments : A UEQ part of GRP093-1
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.62 cnf(single_axiom,axiom,
% 0.19/0.62 divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ).
% 0.19/0.62
% 0.19/0.62 cnf(multiply,axiom,
% 0.19/0.62 multiply(A,B) = divide(A,divide(identity,B)) ).
% 0.19/0.62
% 0.19/0.62 cnf(inverse,axiom,
% 0.19/0.62 inverse(A) = divide(identity,A) ).
% 0.19/0.62
% 0.19/0.62 cnf(identity,axiom,
% 0.19/0.62 identity = divide(A,A) ).
% 0.19/0.62
% 0.19/0.62 cnf(prove_these_axioms_2,negated_conjecture,
% 0.19/0.62 multiply(multiply(inverse(b2),b2),a2) != a2 ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:8(EqnAxiom:5)
% 0.19/0.62 %VarNum:8(SingletonVarNum:4)
% 0.19/0.62 %MaxLitNum:1
% 0.19/0.62 %MaxfuncDepth:5
% 0.19/0.62 %SharedTerms:8
% 0.19/0.62 %goalClause: 8
% 0.19/0.62 %singleGoalClaCount:1
% 0.19/0.62 [8]~E(f1(f1(f1(a4,a2),f1(a4,a2)),f1(a4,a3)),a3)
% 0.19/0.62 [6]E(f1(x61,x61),a4)
% 0.19/0.62 [7]E(f1(f1(a4,f1(f1(f1(x71,x72),x73),x71)),x73),x72)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.19/0.62 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(9,plain,
% 0.19/0.62 (E(a4,f1(x91,x91))),
% 0.19/0.62 inference(scs_inference,[],[6,2])).
% 0.19/0.62 cnf(10,plain,
% 0.19/0.62 (E(f1(x101,f1(x102,x102)),f1(x101,a4))),
% 0.19/0.62 inference(scs_inference,[],[6,2,5])).
% 0.19/0.62 cnf(12,plain,
% 0.19/0.62 (~E(f1(a4,f1(a4,a3)),a3)),
% 0.19/0.62 inference(scs_inference,[],[8,6,2,5,4,3])).
% 0.19/0.62 cnf(16,plain,
% 0.19/0.62 (~E(f1(a4,f1(a4,a3)),f1(f1(a4,f1(f1(f1(x161,a3),x162),x161)),x162))),
% 0.19/0.62 inference(scs_inference,[],[7,12,2,3])).
% 0.19/0.62 cnf(18,plain,
% 0.19/0.62 (~E(a4,f1(a4,f1(f1(f1(x181,a3),f1(a4,a3)),x181)))),
% 0.19/0.62 inference(scs_inference,[],[7,12,2,3,4])).
% 0.19/0.62 cnf(22,plain,
% 0.19/0.62 (~E(a4,f1(f1(f1(x221,a3),f1(a4,a3)),x221))),
% 0.19/0.62 inference(scs_inference,[],[9,16,18,4,3,2,5])).
% 0.19/0.62 cnf(31,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[10,9,22,4,3]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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