%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP019-1 : 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 : n032.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 06:38:29 EDT 2024
% Result : Unsatisfiable 0.44s 0.52s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP019-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu Jun 20 10:03:08 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.12/0.44 start to proof:theBenchmark
% 0.12/0.52 %-------------------------------------------
% 0.12/0.52 % File :CSE---1.7
% 0.12/0.52 % Problem :theBenchmark
% 0.12/0.52 % Transform :cnf
% 0.12/0.52 % Format :tptp:raw
% 0.12/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.12/0.52
% 0.12/0.52 % Result :Theorem 0.050000s
% 0.12/0.52 % Output :CNFRefutation 0.050000s
% 0.12/0.52 %-------------------------------------------
% 0.44/0.52 %--------------------------------------------------------------------------
% 0.44/0.52 % File : GRP019-1 : TPTP v8.2.0. Released v1.0.0.
% 0.44/0.52 % Domain : Group Theory
% 0.44/0.52 % Problem : Identity times X is X
% 0.44/0.52 % Version : [MOW76] axioms.
% 0.44/0.52 % English :
% 0.44/0.52
% 0.44/0.52 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.44/0.52 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 0.44/0.52 % Source : [MOW76]
% 0.44/0.52 % Names : Identity established [MOW76]
% 0.44/0.52 % : Lemma proved [OMW76]
% 0.44/0.52
% 0.44/0.52 % Status : Unsatisfiable
% 0.44/0.52 % 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, 0.14 v5.0.0, 0.00 v2.0.0
% 0.44/0.52 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.44/0.52 % Number of literals : 17 ( 2 equ; 9 neg)
% 0.44/0.52 % Maximal clause size : 4 ( 1 avg)
% 0.44/0.52 % Maximal term depth : 2 ( 1 avg)
% 0.44/0.52 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.44/0.52 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.44/0.52 % Number of variables : 22 ( 0 sgn)
% 0.44/0.52 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.44/0.52
% 0.44/0.52 % Comments :
% 0.44/0.52 %--------------------------------------------------------------------------
% 0.44/0.52 %----Include group theory axioms
% 0.44/0.52 include('Axioms/GRP003-0.ax').
% 0.44/0.52 %--------------------------------------------------------------------------
% 0.44/0.52 cnf(prove_id_times_X_is_X,negated_conjecture,
% 0.44/0.52 multiply(identity,a) != a ).
% 0.44/0.52
% 0.44/0.52 %--------------------------------------------------------------------------
% 0.44/0.52 %-------------------------------------------
% 0.44/0.52 % Proof found
% 0.44/0.52 % SZS status Theorem for theBenchmark
% 0.44/0.52 % SZS output start Proof
% 0.44/0.52 %ClaNum:18(EqnAxiom:9)
% 0.44/0.52 %VarNum:44(SingletonVarNum:22)
% 0.44/0.52 %MaxLitNum:4
% 0.44/0.52 %MaxfuncDepth:1
% 0.44/0.52 %SharedTerms:4
% 0.44/0.52 %goalClause: 15
% 0.44/0.52 %singleGoalClaCount:1
% 0.44/0.52 [15]~E(f4(a1,a2),a2)
% 0.44/0.52 [10]P1(x101,a1,x101)
% 0.44/0.52 [11]P1(a1,x111,x111)
% 0.44/0.52 [12]P1(x121,f3(x121),a1)
% 0.44/0.52 [13]P1(f3(x131),x131,a1)
% 0.44/0.52 [14]P1(x141,x142,f4(x141,x142))
% 0.44/0.52 [16]~P1(x163,x164,x161)+E(x161,x162)+~P1(x163,x164,x162)
% 0.44/0.52 [17]~P1(x176,x174,x171)+P1(x171,x172,x173)+~P1(x174,x172,x175)+~P1(x176,x175,x173)
% 0.44/0.52 [18]~P1(x181,x186,x184)+P1(x181,x182,x183)+~P1(x184,x185,x183)+~P1(x186,x185,x182)
% 0.44/0.52 %EqnAxiom
% 0.44/0.52 [1]E(x11,x11)
% 0.44/0.52 [2]E(x22,x21)+~E(x21,x22)
% 0.44/0.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.44/0.52 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.44/0.52 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.44/0.52 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.44/0.52 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.44/0.52 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.44/0.52 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.44/0.52
% 0.44/0.52 %-------------------------------------------
% 0.44/0.53 cnf(19,plain,
% 0.44/0.53 (E(x191,f4(x191,a1))),
% 0.44/0.53 inference(scs_inference,[],[10,14,16])).
% 0.44/0.53 cnf(20,plain,
% 0.44/0.53 (P1(x201,x202,f4(x201,x202))),
% 0.44/0.53 inference(rename_variables,[],[14])).
% 0.44/0.53 cnf(22,plain,
% 0.44/0.53 (P1(f4(x221,a1),a1,x221)),
% 0.44/0.53 inference(scs_inference,[],[10,14,16,7])).
% 0.44/0.53 cnf(24,plain,
% 0.44/0.53 (P1(x241,a1,x241)),
% 0.44/0.53 inference(rename_variables,[],[10])).
% 0.44/0.53 cnf(25,plain,
% 0.44/0.53 (P1(x251,f3(x251),f4(a1,a1))),
% 0.44/0.53 inference(scs_inference,[],[10,14,12,16,7,8,9])).
% 0.44/0.53 cnf(26,plain,
% 0.44/0.53 (P1(x261,f4(a1,a1),x261)),
% 0.44/0.53 inference(scs_inference,[],[10,24,14,20,12,16,7,8,9,18])).
% 0.44/0.53 cnf(30,plain,
% 0.44/0.53 (E(f4(x301,a1),x301)),
% 0.44/0.53 inference(scs_inference,[],[19,2])).
% 0.44/0.53 cnf(31,plain,
% 0.44/0.53 (~E(f4(a1,a2),f4(a2,a1))),
% 0.44/0.53 inference(scs_inference,[],[15,19,2,3])).
% 0.44/0.53 cnf(32,plain,
% 0.44/0.53 (P1(a1,f4(a2,a1),a2)),
% 0.44/0.53 inference(scs_inference,[],[15,19,11,2,3,8])).
% 0.44/0.53 cnf(33,plain,
% 0.44/0.53 (P1(a1,x331,x331)),
% 0.44/0.53 inference(rename_variables,[],[11])).
% 0.44/0.53 cnf(34,plain,
% 0.44/0.53 (E(x341,f4(x341,a1))),
% 0.44/0.53 inference(rename_variables,[],[19])).
% 0.44/0.53 cnf(35,plain,
% 0.44/0.53 (E(f3(f4(a1,a1)),a1)),
% 0.44/0.53 inference(scs_inference,[],[15,19,26,11,13,2,3,8,16])).
% 0.44/0.53 cnf(37,plain,
% 0.44/0.53 (P1(x371,f4(a1,a1),x371)),
% 0.44/0.53 inference(rename_variables,[],[26])).
% 0.44/0.53 cnf(39,plain,
% 0.44/0.53 (P1(x391,f4(a1,a1),f4(x391,a1))),
% 0.44/0.53 inference(scs_inference,[],[15,19,34,26,37,11,13,2,3,8,16,9])).
% 0.44/0.53 cnf(40,plain,
% 0.44/0.53 (P1(x401,f4(a1,a1),x401)),
% 0.44/0.53 inference(rename_variables,[],[26])).
% 0.44/0.53 cnf(41,plain,
% 0.44/0.53 (P1(f4(x411,a1),f4(a1,a1),x411)),
% 0.44/0.53 inference(scs_inference,[],[15,19,34,26,37,40,11,13,2,3,8,16,9,7])).
% 0.44/0.53 cnf(42,plain,
% 0.44/0.53 (P1(x421,f4(a1,a1),x421)),
% 0.44/0.53 inference(rename_variables,[],[26])).
% 0.44/0.53 cnf(43,plain,
% 0.44/0.53 (P1(a1,f3(f4(a1,a1)),f4(a1,a1))),
% 0.44/0.53 inference(scs_inference,[],[15,19,34,26,37,40,42,25,11,33,13,2,3,8,16,9,7,17])).
% 0.44/0.53 cnf(45,plain,
% 0.44/0.53 (P1(x451,f4(a1,a1),x451)),
% 0.44/0.53 inference(rename_variables,[],[26])).
% 0.44/0.53 cnf(48,plain,
% 0.44/0.53 (P1(x481,f4(f4(a1,a1),f4(a1,a1)),x481)),
% 0.44/0.53 inference(scs_inference,[],[15,19,34,26,37,40,42,45,25,11,33,13,14,2,3,8,16,9,7,17,18])).
% 0.44/0.53 cnf(51,plain,
% 0.44/0.53 (E(a1,f3(f4(a1,a1)))),
% 0.44/0.53 inference(scs_inference,[],[35,2])).
% 0.44/0.53 cnf(52,plain,
% 0.44/0.53 (E(f4(f4(x521,a1),a1),x521)),
% 0.44/0.53 inference(scs_inference,[],[35,39,41,2,16])).
% 0.44/0.53 cnf(55,plain,
% 0.44/0.53 (P1(a1,x551,f4(x551,a1))),
% 0.44/0.53 inference(scs_inference,[],[30,35,39,41,11,2,16,8])).
% 0.44/0.53 cnf(57,plain,
% 0.44/0.53 (E(f4(a1,a1),f3(f4(a1,a1)))),
% 0.44/0.53 inference(scs_inference,[],[30,35,39,41,11,2,16,8,3])).
% 0.44/0.53 cnf(58,plain,
% 0.44/0.53 (E(f4(x581,a1),x581)),
% 0.44/0.53 inference(rename_variables,[],[30])).
% 0.44/0.53 cnf(59,plain,
% 0.44/0.53 (P1(f4(x591,a1),f4(f4(a1,a1),f4(a1,a1)),x591)),
% 0.44/0.53 inference(scs_inference,[],[30,58,35,48,39,41,11,2,16,8,3,9])).
% 0.44/0.53 cnf(60,plain,
% 0.44/0.53 (P1(x601,f4(f4(a1,a1),f4(a1,a1)),x601)),
% 0.44/0.53 inference(rename_variables,[],[48])).
% 0.44/0.53 cnf(61,plain,
% 0.44/0.53 (P1(x611,f4(f4(a1,a1),f4(a1,a1)),f4(x611,a1))),
% 0.44/0.53 inference(scs_inference,[],[30,58,35,48,60,39,41,11,2,16,8,3,9,7])).
% 0.44/0.53 cnf(63,plain,
% 0.44/0.53 (P1(f4(a1,a1),a2,a2)),
% 0.44/0.53 inference(scs_inference,[],[30,58,35,48,60,39,41,22,32,11,2,16,8,3,9,7,18])).
% 0.44/0.53 cnf(69,plain,
% 0.44/0.53 (E(f3(f4(a1,a1)),f4(a1,a1))),
% 0.44/0.53 inference(scs_inference,[],[57,2])).
% 0.44/0.53 cnf(70,plain,
% 0.44/0.53 (E(f4(f3(a1),a1),a1)),
% 0.44/0.53 inference(scs_inference,[],[57,55,12,2,16])).
% 0.44/0.53 cnf(72,plain,
% 0.44/0.53 (P1(a1,x721,f4(x721,a1))),
% 0.44/0.53 inference(rename_variables,[],[55])).
% 0.44/0.53 cnf(79,plain,
% 0.44/0.53 (P1(a1,x791,f4(x791,a1))),
% 0.44/0.53 inference(rename_variables,[],[55])).
% 0.44/0.53 cnf(80,plain,
% 0.44/0.53 (P1(f3(f4(a1,a1)),x801,f4(x801,a1))),
% 0.44/0.53 inference(scs_inference,[],[15,57,52,51,19,55,72,79,63,12,2,16,8,3,9,7])).
% 0.44/0.53 cnf(88,plain,
% 0.44/0.53 (E(a1,f4(f3(a1),a1))),
% 0.44/0.53 inference(scs_inference,[],[70,2])).
% 0.44/0.53 cnf(89,plain,
% 0.44/0.53 (P1(x891,f3(f4(a1,a1)),f4(x891,a1))),
% 0.44/0.53 inference(scs_inference,[],[70,57,39,2,8])).
% 0.44/0.53 cnf(90,plain,
% 0.44/0.53 (E(x901,f4(f4(x901,a1),a1))),
% 0.44/0.53 inference(scs_inference,[],[70,57,59,61,39,2,8,16])).
% 0.44/0.53 cnf(94,plain,
% 0.44/0.53 (P1(f3(f4(a1,a1)),x941,f4(x941,a1))),
% 0.44/0.53 inference(rename_variables,[],[80])).
% 0.44/0.53 cnf(95,plain,
% 0.44/0.53 (P1(a1,f4(f4(a1,a1),f4(a1,a1)),f3(a1))),
% 0.44/0.53 inference(scs_inference,[],[70,57,59,80,61,39,2,8,16,9,7])).
% 0.44/0.53 cnf(97,plain,
% 0.44/0.53 (P1(f4(a1,a1),x971,f4(f4(x971,a1),a1))),
% 0.44/0.53 inference(scs_inference,[],[70,57,59,80,94,43,61,39,55,2,8,16,9,7,17])).
% 0.44/0.53 cnf(104,plain,
% 0.44/0.53 (P1(f4(a1,a1),f4(f4(a2,a1),a1),a2)),
% 0.44/0.53 inference(scs_inference,[],[90,63,8])).
% 0.44/0.53 cnf(118,plain,
% 0.44/0.53 (P1(f4(a1,a1),x1181,f4(x1181,a1))),
% 0.44/0.53 inference(scs_inference,[],[88,69,52,89,80,22,8,9,7])).
% 0.44/0.53 cnf(125,plain,
% 0.44/0.53 (E(f4(x1251,a1),f4(f4(a1,a1),x1251))),
% 0.44/0.53 inference(scs_inference,[],[118,14,16])).
% 0.44/0.53 cnf(143,plain,
% 0.44/0.53 (E(f4(f4(a1,a1),x1431),f4(x1431,a1))),
% 0.44/0.53 inference(scs_inference,[],[125,2])).
% 0.44/0.53 cnf(144,plain,
% 0.44/0.53 (E(x1441,f4(f4(a1,a1),f4(x1441,a1)))),
% 0.44/0.53 inference(scs_inference,[],[125,90,2,3])).
% 0.44/0.53 cnf(145,plain,
% 0.44/0.53 (E(f4(x1451,a1),f4(f4(a1,a1),x1451))),
% 0.44/0.53 inference(rename_variables,[],[125])).
% 0.44/0.53 cnf(147,plain,
% 0.44/0.53 (E(f4(x1471,a1),f4(f4(a1,a1),x1471))),
% 0.44/0.53 inference(rename_variables,[],[125])).
% 0.44/0.53 cnf(148,plain,
% 0.44/0.53 (P1(f4(a1,a1),x1481,f4(f4(a1,a1),f4(x1481,a1)))),
% 0.47/0.53 inference(scs_inference,[],[125,145,147,90,97,104,2,3,8,9])).
% 0.47/0.53 cnf(158,plain,
% 0.47/0.53 (P1(f4(a1,a1),x1581,f4(x1581,a1))),
% 0.47/0.53 inference(rename_variables,[],[118])).
% 0.47/0.53 cnf(165,plain,
% 0.47/0.53 (P1(x1651,f4(a1,a1),x1651)),
% 0.47/0.53 inference(rename_variables,[],[26])).
% 0.47/0.53 cnf(172,plain,
% 0.47/0.53 ($false),
% 0.47/0.53 inference(scs_inference,[],[144,143,19,31,148,95,48,26,165,118,158,2,16,3,8,9,7,18,5]),
% 0.47/0.53 ['proof']).
% 0.47/0.53 % SZS output end Proof
% 0.47/0.53 % Total time :0.050000s
%------------------------------------------------------------------------------