TSTP Solution File: GRP017-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP017-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 00:10:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n006.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 21:15:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % File :CSE---1.6
% 0.21/0.61 % Problem :theBenchmark
% 0.21/0.61 % Transform :cnf
% 0.21/0.61 % Format :tptp:raw
% 0.21/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.61
% 0.21/0.61 % Result :Theorem 0.000000s
% 0.21/0.61 % Output :CNFRefutation 0.000000s
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 % File : GRP017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.61 % Domain : Group Theory
% 0.21/0.61 % Problem : The inverse of each element is unique
% 0.21/0.61 % Version : [MOW76] axioms.
% 0.21/0.61 % English : i.e., if ab=ba=identity and ac=ca=identity then b=c
% 0.21/0.61
% 0.21/0.61 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.21/0.61 % Source : [ANL]
% 0.21/0.61 % Names : G2 [MOW76]
% 0.21/0.61 % : invers1.ver1.in [ANL]
% 0.21/0.61
% 0.21/0.61 % Status : Unsatisfiable
% 0.21/0.61 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.00 v2.0.0
% 0.21/0.61 % Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 8 RR)
% 0.21/0.61 % Number of literals : 21 ( 2 equ; 9 neg)
% 0.21/0.61 % Maximal clause size : 4 ( 1 avg)
% 0.21/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.61 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.21/0.61 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 0.21/0.61 % Number of variables : 22 ( 0 sgn)
% 0.21/0.61 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.61
% 0.21/0.61 % Comments :
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 %----Include group theory axioms
% 0.21/0.61 include('Axioms/GRP003-0.ax').
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 cnf(a_times_b_is_identity,hypothesis,
% 0.21/0.61 product(a,b,identity) ).
% 0.21/0.61
% 0.21/0.61 cnf(b_times_a_is_identity,hypothesis,
% 0.21/0.61 product(b,a,identity) ).
% 0.21/0.61
% 0.21/0.61 cnf(a_times_c_is_identity,hypothesis,
% 0.21/0.61 product(a,c,identity) ).
% 0.21/0.61
% 0.21/0.61 cnf(c_times_a_is_identity,hypothesis,
% 0.21/0.61 product(c,a,identity) ).
% 0.21/0.61
% 0.21/0.61 cnf(prove_b_equals_c,negated_conjecture,
% 0.21/0.61 b != c ).
% 0.21/0.61
% 0.21/0.61 %--------------------------------------------------------------------------
% 0.21/0.61 %-------------------------------------------
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark
% 0.21/0.61 % SZS output start Proof
% 0.21/0.62 %ClaNum:22(EqnAxiom:9)
% 0.21/0.62 %VarNum:44(SingletonVarNum:22)
% 0.21/0.62 %MaxLitNum:4
% 0.21/0.62 %MaxfuncDepth:1
% 0.21/0.62 %SharedTerms:9
% 0.21/0.62 %goalClause: 19
% 0.21/0.62 %singleGoalClaCount:1
% 0.21/0.62 [10]P1(a1,a2,a3)
% 0.21/0.62 [11]P1(a1,a4,a3)
% 0.21/0.62 [12]P1(a2,a1,a3)
% 0.21/0.62 [13]P1(a4,a1,a3)
% 0.21/0.62 [19]~E(a4,a2)
% 0.21/0.62 [14]P1(x141,a3,x141)
% 0.21/0.62 [15]P1(a3,x151,x151)
% 0.21/0.62 [16]P1(x161,f5(x161),a3)
% 0.21/0.62 [17]P1(f5(x171),x171,a3)
% 0.21/0.62 [18]P1(x181,x182,f6(x181,x182))
% 0.21/0.62 [20]~P1(x203,x204,x201)+E(x201,x202)+~P1(x203,x204,x202)
% 0.21/0.62 [21]~P1(x216,x214,x211)+P1(x211,x212,x213)+~P1(x214,x212,x215)+~P1(x216,x215,x213)
% 0.21/0.62 [22]~P1(x221,x226,x224)+P1(x221,x222,x223)+~P1(x224,x225,x223)+~P1(x226,x225,x222)
% 0.21/0.62 %EqnAxiom
% 0.21/0.62 [1]E(x11,x11)
% 0.21/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.62 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.21/0.62 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 0.21/0.62 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 0.21/0.62 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.21/0.62 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.21/0.62 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.21/0.62
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 cnf(23,plain,
% 0.21/0.62 (E(x231,f6(x231,a3))),
% 0.21/0.62 inference(scs_inference,[],[14,18,20])).
% 0.21/0.62 cnf(24,plain,
% 0.21/0.62 (P1(x241,x242,f6(x241,x242))),
% 0.21/0.62 inference(rename_variables,[],[18])).
% 0.21/0.62 cnf(29,plain,
% 0.21/0.62 (E(f6(x291,x292),f6(x291,f6(x292,a3)))),
% 0.21/0.62 inference(scs_inference,[],[19,14,18,24,20,22,2,6])).
% 0.21/0.62 cnf(52,plain,
% 0.21/0.62 ($false),
% 0.21/0.62 inference(scs_inference,[],[19,11,16,15,12,18,14,29,23,20,2,7,22,21]),
% 0.21/0.62 ['proof']).
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time :0.000000s
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