%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP017-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Mon Jun 24 06:38:28 EDT 2024
% Result : Unsatisfiable 0.55s 0.63s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP017-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 08:27:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % File :CSE---1.7
% 0.55/0.63 % Problem :theBenchmark
% 0.55/0.63 % Transform :cnf
% 0.55/0.63 % Format :tptp:raw
% 0.55/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.63
% 0.55/0.63 % Result :Theorem 0.020000s
% 0.55/0.63 % Output :CNFRefutation 0.020000s
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 % File : GRP017-1 : TPTP v8.2.0. Released v1.0.0.
% 0.55/0.63 % Domain : Group Theory
% 0.55/0.63 % Problem : The inverse of each element is unique
% 0.55/0.63 % Version : [MOW76] axioms.
% 0.55/0.63 % English : i.e., if ab=ba=identity and ac=ca=identity then b=c
% 0.55/0.63
% 0.55/0.63 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.55/0.63 % Source : [ANL]
% 0.55/0.63 % Names : G2 [MOW76]
% 0.55/0.63 % : invers1.ver1.in [ANL]
% 0.55/0.63
% 0.55/0.63 % Status : Unsatisfiable
% 0.55/0.63 % 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
% 0.55/0.63 % Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 8 RR)
% 0.55/0.63 % Number of literals : 21 ( 2 equ; 9 neg)
% 0.55/0.63 % Maximal clause size : 4 ( 1 avg)
% 0.55/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.63 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.55/0.63 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 0.55/0.63 % Number of variables : 22 ( 0 sgn)
% 0.55/0.63 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.55/0.63
% 0.55/0.63 % Comments :
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 %----Include group theory axioms
% 0.55/0.63 include('Axioms/GRP003-0.ax').
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 cnf(a_times_b_is_identity,hypothesis,
% 0.55/0.63 product(a,b,identity) ).
% 0.55/0.63
% 0.55/0.63 cnf(b_times_a_is_identity,hypothesis,
% 0.55/0.63 product(b,a,identity) ).
% 0.55/0.63
% 0.55/0.63 cnf(a_times_c_is_identity,hypothesis,
% 0.55/0.63 product(a,c,identity) ).
% 0.55/0.63
% 0.55/0.63 cnf(c_times_a_is_identity,hypothesis,
% 0.55/0.63 product(c,a,identity) ).
% 0.55/0.63
% 0.55/0.63 cnf(prove_b_equals_c,negated_conjecture,
% 0.55/0.63 b != c ).
% 0.55/0.63
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.55/0.63 %ClaNum:22(EqnAxiom:9)
% 0.55/0.63 %VarNum:44(SingletonVarNum:22)
% 0.55/0.63 %MaxLitNum:4
% 0.55/0.63 %MaxfuncDepth:1
% 0.55/0.63 %SharedTerms:9
% 0.55/0.63 %goalClause: 19
% 0.55/0.63 %singleGoalClaCount:1
% 0.55/0.63 [10]P1(a1,a2,a3)
% 0.55/0.63 [11]P1(a1,a4,a3)
% 0.55/0.63 [12]P1(a2,a1,a3)
% 0.55/0.63 [13]P1(a4,a1,a3)
% 0.55/0.63 [19]~E(a4,a2)
% 0.55/0.63 [14]P1(x141,a3,x141)
% 0.55/0.63 [15]P1(a3,x151,x151)
% 0.55/0.63 [16]P1(x161,f5(x161),a3)
% 0.55/0.63 [17]P1(f5(x171),x171,a3)
% 0.55/0.63 [18]P1(x181,x182,f6(x181,x182))
% 0.55/0.63 [20]~P1(x203,x204,x201)+E(x201,x202)+~P1(x203,x204,x202)
% 0.55/0.63 [21]~P1(x216,x214,x211)+P1(x211,x212,x213)+~P1(x214,x212,x215)+~P1(x216,x215,x213)
% 0.55/0.63 [22]~P1(x221,x226,x224)+P1(x221,x222,x223)+~P1(x224,x225,x223)+~P1(x226,x225,x222)
% 0.55/0.63 %EqnAxiom
% 0.55/0.63 [1]E(x11,x11)
% 0.55/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.63 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.55/0.63 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 0.55/0.63 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 0.55/0.63 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.55/0.63 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.55/0.63 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.55/0.63
% 0.55/0.63 %-------------------------------------------
% 0.60/0.64 cnf(23,plain,
% 0.60/0.64 (E(x231,f6(x231,a3))),
% 0.60/0.64 inference(scs_inference,[],[14,18,20])).
% 0.60/0.64 cnf(24,plain,
% 0.60/0.64 (P1(x241,x242,f6(x241,x242))),
% 0.60/0.64 inference(rename_variables,[],[18])).
% 0.60/0.64 cnf(28,plain,
% 0.60/0.64 (P1(x281,a3,x281)),
% 0.60/0.64 inference(rename_variables,[],[14])).
% 0.60/0.64 cnf(29,plain,
% 0.60/0.64 (P1(x291,f5(x291),f6(a3,a3))),
% 0.60/0.64 inference(scs_inference,[],[14,18,16,20,7,8,9])).
% 0.60/0.64 cnf(30,plain,
% 0.60/0.64 (P1(x301,f6(a3,a3),x301)),
% 0.60/0.64 inference(scs_inference,[],[14,28,18,24,16,20,7,8,9,22])).
% 0.60/0.64 cnf(34,plain,
% 0.60/0.64 (E(f6(x341,a3),x341)),
% 0.60/0.64 inference(scs_inference,[],[23,2])).
% 0.60/0.64 cnf(36,plain,
% 0.60/0.64 (E(f5(f6(a3,a3)),a3)),
% 0.60/0.64 inference(scs_inference,[],[19,23,30,17,2,3,20])).
% 0.60/0.64 cnf(38,plain,
% 0.60/0.64 (P1(x381,f6(a3,a3),x381)),
% 0.60/0.64 inference(rename_variables,[],[30])).
% 0.60/0.64 cnf(41,plain,
% 0.60/0.64 (P1(x411,f6(a3,a3),x411)),
% 0.60/0.64 inference(rename_variables,[],[30])).
% 0.60/0.64 cnf(42,plain,
% 0.60/0.64 (E(x421,f6(x421,a3))),
% 0.60/0.64 inference(rename_variables,[],[23])).
% 0.60/0.64 cnf(44,plain,
% 0.60/0.64 (P1(x441,f6(a3,a3),x441)),
% 0.60/0.64 inference(rename_variables,[],[30])).
% 0.60/0.64 cnf(45,plain,
% 0.60/0.64 (P1(x451,f6(f6(a3,a3),a3),x451)),
% 0.60/0.64 inference(scs_inference,[],[19,23,42,30,38,41,44,17,2,3,20,9,7,8])).
% 0.60/0.64 cnf(49,plain,
% 0.60/0.64 (P1(x491,f6(a3,a3),x491)),
% 0.60/0.64 inference(rename_variables,[],[30])).
% 0.60/0.64 cnf(52,plain,
% 0.60/0.64 (P1(x521,f6(f6(a3,a3),f6(a3,a3)),x521)),
% 0.60/0.64 inference(scs_inference,[],[19,23,42,30,38,41,44,49,29,15,17,18,2,3,20,9,7,8,21,22])).
% 0.60/0.64 cnf(56,plain,
% 0.60/0.64 (E(f6(a3,a3),f5(f6(a3,a3)))),
% 0.60/0.64 inference(scs_inference,[],[34,36,2,3])).
% 0.60/0.64 cnf(57,plain,
% 0.60/0.64 (E(f6(x571,a3),x571)),
% 0.60/0.64 inference(rename_variables,[],[34])).
% 0.60/0.64 cnf(58,plain,
% 0.60/0.64 (E(a3,f6(f6(a3,a3),f6(a3,a3)))),
% 0.60/0.64 inference(scs_inference,[],[34,36,52,15,2,3,20])).
% 0.60/0.64 cnf(59,plain,
% 0.60/0.64 (P1(a3,x591,x591)),
% 0.60/0.64 inference(rename_variables,[],[15])).
% 0.60/0.64 cnf(60,plain,
% 0.60/0.64 (P1(x601,f6(f6(a3,a3),f6(a3,a3)),x601)),
% 0.60/0.64 inference(rename_variables,[],[52])).
% 0.60/0.64 cnf(62,plain,
% 0.60/0.64 (P1(f6(x621,a3),f6(f6(a3,a3),f6(a3,a3)),x621)),
% 0.60/0.64 inference(scs_inference,[],[34,57,36,52,60,15,2,3,20,9])).
% 0.60/0.64 cnf(63,plain,
% 0.60/0.64 (P1(x631,f6(f6(a3,a3),f6(a3,a3)),x631)),
% 0.60/0.64 inference(rename_variables,[],[52])).
% 0.60/0.64 cnf(64,plain,
% 0.60/0.64 (P1(x641,f6(f6(a3,a3),f6(a3,a3)),f6(x641,a3))),
% 0.60/0.64 inference(scs_inference,[],[34,57,36,52,60,63,15,2,3,20,9,7])).
% 0.60/0.64 cnf(65,plain,
% 0.60/0.64 (P1(x651,f6(f6(a3,a3),f6(a3,a3)),x651)),
% 0.60/0.64 inference(rename_variables,[],[52])).
% 0.60/0.64 cnf(72,plain,
% 0.60/0.64 (P1(a2,a3,a4)),
% 0.60/0.64 inference(scs_inference,[],[34,57,36,23,52,60,63,65,45,10,11,12,15,59,2,3,20,9,7,8,21,22])).
% 0.60/0.64 cnf(79,plain,
% 0.60/0.64 (E(f6(a3,a3),f6(f6(a3,a3),f6(a3,a3)))),
% 0.60/0.64 inference(scs_inference,[],[56,58,34,64,62,2,20,3])).
% 0.60/0.64 cnf(93,plain,
% 0.60/0.64 ($false),
% 0.60/0.64 inference(scs_inference,[],[19,79,72,14,2,20]),
% 0.60/0.64 ['proof']).
% 0.60/0.64 % SZS output end Proof
% 0.60/0.64 % Total time :0.020000s
%------------------------------------------------------------------------------