TSTP Solution File: GRP581-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP581-1 : 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 : n018.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 00:12:29 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.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 : Mon Aug 28 19:52:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 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 0.030000s
% 0.20/0.62 % Output :CNFRefutation 0.030000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% 0.20/0.62 % Domain : Group Theory (Abelian)
% 0.20/0.62 % Problem : Axiom for Abelian group theory, in double div and id, part 1
% 0.20/0.62 % Version : [McC93] (equality) axioms.
% 0.20/0.62 % English :
% 0.20/0.62
% 0.20/0.62 % Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 0.20/0.62 % Source : [TPTP]
% 0.20/0.62 % Names :
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 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, 0.14 v5.5.0, 0.11 v5.4.0, 0.00 v2.6.0
% 0.20/0.62 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 1 RR)
% 0.20/0.62 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.20/0.62 % Maximal clause size : 1 ( 1 avg)
% 0.20/0.62 % Maximal term depth : 6 ( 2 avg)
% 0.20/0.62 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.20/0.62 % Number of functors : 5 ( 5 usr; 2 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 : A UEQ part of GRP103-1
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(single_axiom,axiom,
% 0.20/0.62 double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ).
% 0.20/0.62
% 0.20/0.62 cnf(multiply,axiom,
% 0.20/0.62 multiply(A,B) = double_divide(double_divide(B,A),identity) ).
% 0.20/0.62
% 0.20/0.62 cnf(inverse,axiom,
% 0.20/0.62 inverse(A) = double_divide(A,identity) ).
% 0.20/0.62
% 0.20/0.62 cnf(identity,axiom,
% 0.20/0.62 identity = double_divide(A,inverse(A)) ).
% 0.20/0.62
% 0.20/0.62 cnf(prove_these_axioms_1,negated_conjecture,
% 0.20/0.62 multiply(inverse(a1),a1) != identity ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.63 %ClaNum:8(EqnAxiom:5)
% 0.20/0.63 %VarNum:8(SingletonVarNum:4)
% 0.20/0.63 %MaxLitNum:1
% 0.20/0.63 %MaxfuncDepth:3
% 0.20/0.63 %SharedTerms:7
% 0.20/0.63 %goalClause: 8
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [8]~E(f2(f2(a3,f2(a3,a1)),a1),a1)
% 0.20/0.63 [6]E(f2(x61,f2(x61,a1)),a1)
% 0.20/0.63 [7]E(f2(f2(x71,f2(f2(a1,x72),f2(x73,f2(x72,x71)))),f2(a1,a1)),x73)
% 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
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(9,plain,
% 0.20/0.63 (E(a1,f2(x91,f2(x91,a1)))),
% 0.20/0.63 inference(scs_inference,[],[6,2])).
% 0.20/0.63 cnf(11,plain,
% 0.20/0.63 (E(f2(x111,f2(x112,f2(x112,a1))),f2(x111,a1))),
% 0.20/0.63 inference(scs_inference,[],[8,6,2,3,5])).
% 0.20/0.63 cnf(12,plain,
% 0.20/0.63 (E(f2(f2(x121,f2(x121,a1)),x122),f2(a1,x122))),
% 0.20/0.63 inference(scs_inference,[],[8,6,2,3,5,4])).
% 0.20/0.63 cnf(14,plain,
% 0.20/0.63 (~E(f2(a1,a1),a1)),
% 0.20/0.63 inference(scs_inference,[],[8,12,2,3])).
% 0.20/0.63 cnf(16,plain,
% 0.20/0.63 (E(x161,f2(f2(x162,f2(f2(a1,x163),f2(x161,f2(x163,x162)))),f2(a1,a1)))),
% 0.20/0.63 inference(scs_inference,[],[7,2])).
% 0.20/0.63 cnf(17,plain,
% 0.20/0.63 (E(f2(x171,f2(x171,a1)),f2(x172,f2(x172,a1)))),
% 0.20/0.63 inference(scs_inference,[],[6,9,7,2,3])).
% 0.20/0.63 cnf(18,plain,
% 0.20/0.63 (~E(f2(a1,a1),f2(x181,f2(x181,a1)))),
% 0.20/0.63 inference(scs_inference,[],[6,14,3])).
% 0.20/0.63 cnf(21,plain,
% 0.20/0.63 (E(f2(x211,a1),f2(x211,f2(x212,f2(x212,a1))))),
% 0.20/0.63 inference(scs_inference,[],[9,5])).
% 0.20/0.63 cnf(22,plain,
% 0.20/0.63 (~E(f2(f2(x221,f2(f2(a1,x222),f2(f2(a1,a1),f2(x222,x221)))),f2(a1,a1)),f2(x223,f2(x223,a1)))),
% 0.20/0.63 inference(scs_inference,[],[9,16,18,5,3])).
% 0.20/0.63 cnf(27,plain,
% 0.20/0.63 (~E(f2(f2(x271,f2(f2(a1,x272),f2(f2(a1,a1),f2(x272,x271)))),f2(a1,a1)),f2(x273,f2(x273,a1)))),
% 0.20/0.63 inference(rename_variables,[],[22])).
% 0.20/0.63 cnf(30,plain,
% 0.20/0.63 (~E(f2(x301,f2(x301,a1)),f2(f2(x302,f2(f2(a1,x303),f2(f2(a1,a1),f2(x303,x302)))),f2(a1,a1)))),
% 0.20/0.63 inference(scs_inference,[],[7,9,22,27,4,3,2])).
% 0.20/0.63 cnf(32,plain,
% 0.20/0.63 (E(f2(f2(x321,f2(x322,f2(x322,a1))),x323),f2(f2(x321,a1),x323))),
% 0.20/0.63 inference(scs_inference,[],[11,5,4])).
% 0.20/0.63 cnf(36,plain,
% 0.20/0.63 (~E(a1,f2(x361,f2(f2(a1,x362),f2(f2(a1,a1),f2(x362,x361)))))),
% 0.20/0.63 inference(scs_inference,[],[30,4])).
% 0.20/0.63 cnf(42,plain,
% 0.20/0.63 (E(f2(x421,f2(f2(x422,f2(x422,a1)),x423)),f2(x421,f2(a1,x423)))),
% 0.20/0.63 inference(scs_inference,[],[12,5])).
% 0.20/0.63 cnf(44,plain,
% 0.20/0.63 (E(f2(f2(x441,f2(x441,a1)),f2(x442,f2(x442,a1))),f2(a1,a1))),
% 0.20/0.63 inference(scs_inference,[],[11,12,5,4,3])).
% 0.20/0.63 cnf(55,plain,
% 0.20/0.63 (E(f2(a1,a1),f2(f2(x551,f2(x551,a1)),f2(x552,f2(x552,a1))))),
% 0.20/0.63 inference(scs_inference,[],[14,16,17,44,5,3,2])).
% 0.20/0.63 cnf(60,plain,
% 0.20/0.63 (E(f2(f2(x601,f2(x602,f2(x602,a1))),x603),f2(f2(x601,a1),x603))),
% 0.20/0.63 inference(rename_variables,[],[32])).
% 0.20/0.63 cnf(62,plain,
% 0.20/0.63 (E(f2(f2(x621,a1),x622),f2(f2(x621,f2(x623,f2(x623,a1))),x622))),
% 0.20/0.63 inference(scs_inference,[],[18,32,60,3,2])).
% 0.20/0.63 cnf(63,plain,
% 0.20/0.63 (E(f2(f2(a1,a1),x631),f2(f2(f2(x632,f2(x632,a1)),f2(x633,f2(x633,a1))),x631))),
% 0.20/0.63 inference(scs_inference,[],[18,55,32,60,3,2,4])).
% 0.20/0.63 cnf(71,plain,
% 0.20/0.63 (E(f2(f2(f2(x711,f2(x711,a1)),f2(x712,f2(x712,a1))),x713),f2(f2(a1,a1),x713))),
% 0.20/0.63 inference(scs_inference,[],[17,63,42,3,2])).
% 0.20/0.63 cnf(72,plain,
% 0.20/0.63 (~E(f2(a1,a1),f2(f2(f2(x721,f2(x721,a1)),f2(x722,f2(x722,a1))),f2(f2(a1,a1),a1)))),
% 0.20/0.63 inference(scs_inference,[],[18,71,3])).
% 0.20/0.63 cnf(83,plain,
% 0.20/0.63 (E(f2(x831,f2(a1,a1)),f2(x831,f2(f2(x832,f2(x832,a1)),f2(x833,f2(x833,a1)))))),
% 0.20/0.63 inference(scs_inference,[],[21,62,72,55,3,2,5])).
% 0.20/0.63 cnf(84,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[83,36,9,3]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.030000s
%------------------------------------------------------------------------------