TSTP Solution File: GRP019-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP019-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 31 00:10:36 EDT 2023
% Result : Unsatisfiable 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP019-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 22:26:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 start to proof:theBenchmark
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 % File :CSE---1.6
% 0.19/0.68 % Problem :theBenchmark
% 0.19/0.68 % Transform :cnf
% 0.19/0.68 % Format :tptp:raw
% 0.19/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.68
% 0.19/0.68 % Result :Theorem 0.010000s
% 0.19/0.68 % Output :CNFRefutation 0.010000s
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 %--------------------------------------------------------------------------
% 0.19/0.68 % File : GRP019-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.68 % Domain : Group Theory
% 0.19/0.68 % Problem : Identity times X is X
% 0.19/0.68 % Version : [MOW76] axioms.
% 0.19/0.68 % English :
% 0.19/0.68
% 0.19/0.68 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.19/0.68 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 0.19/0.68 % Source : [MOW76]
% 0.19/0.68 % Names : Identity established [MOW76]
% 0.19/0.68 % : Lemma proved [OMW76]
% 0.19/0.68
% 0.19/0.68 % Status : Unsatisfiable
% 0.19/0.68 % 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
% 0.19/0.68 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.19/0.68 % Number of literals : 17 ( 2 equ; 9 neg)
% 0.19/0.68 % Maximal clause size : 4 ( 1 avg)
% 0.19/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.68 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.19/0.68 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.19/0.68 % Number of variables : 22 ( 0 sgn)
% 0.19/0.68 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.68
% 0.19/0.68 % Comments :
% 0.19/0.68 %--------------------------------------------------------------------------
% 0.19/0.68 %----Include group theory axioms
% 0.19/0.68 include('Axioms/GRP003-0.ax').
% 0.19/0.68 %--------------------------------------------------------------------------
% 0.19/0.68 cnf(prove_id_times_X_is_X,negated_conjecture,
% 0.19/0.68 multiply(identity,a) != a ).
% 0.19/0.68
% 0.19/0.68 %--------------------------------------------------------------------------
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 % Proof found
% 0.19/0.68 % SZS status Theorem for theBenchmark
% 0.19/0.68 % SZS output start Proof
% 0.19/0.68 %ClaNum:18(EqnAxiom:9)
% 0.19/0.68 %VarNum:44(SingletonVarNum:22)
% 0.19/0.68 %MaxLitNum:4
% 0.19/0.68 %MaxfuncDepth:1
% 0.19/0.68 %SharedTerms:4
% 0.19/0.68 %goalClause: 15
% 0.19/0.69 %singleGoalClaCount:1
% 0.19/0.69 [15]~E(f4(a1,a2),a2)
% 0.19/0.69 [10]P1(x101,a1,x101)
% 0.19/0.69 [11]P1(a1,x111,x111)
% 0.19/0.69 [12]P1(x121,f3(x121),a1)
% 0.19/0.69 [13]P1(f3(x131),x131,a1)
% 0.19/0.69 [14]P1(x141,x142,f4(x141,x142))
% 0.19/0.69 [16]~P1(x163,x164,x161)+E(x161,x162)+~P1(x163,x164,x162)
% 0.19/0.69 [17]~P1(x176,x174,x171)+P1(x171,x172,x173)+~P1(x174,x172,x175)+~P1(x176,x175,x173)
% 0.19/0.69 [18]~P1(x181,x186,x184)+P1(x181,x182,x183)+~P1(x184,x185,x183)+~P1(x186,x185,x182)
% 0.19/0.69 %EqnAxiom
% 0.19/0.69 [1]E(x11,x11)
% 0.19/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.69 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.19/0.69 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.19/0.69 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.19/0.69 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.19/0.69 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.19/0.69 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.19/0.69
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 cnf(19,plain,
% 0.19/0.69 (E(x191,f4(x191,a1))),
% 0.19/0.69 inference(scs_inference,[],[10,14,16])).
% 0.19/0.69 cnf(20,plain,
% 0.19/0.69 (P1(x201,x202,f4(x201,x202))),
% 0.19/0.69 inference(rename_variables,[],[14])).
% 0.19/0.69 cnf(21,plain,
% 0.19/0.69 (P1(x211,f4(a1,a1),x211)),
% 0.19/0.69 inference(scs_inference,[],[10,14,20,16,18])).
% 0.19/0.69 cnf(24,plain,
% 0.19/0.69 (~E(a2,f4(a1,a2))),
% 0.19/0.69 inference(scs_inference,[],[15,10,14,20,16,18,2])).
% 0.19/0.69 cnf(25,plain,
% 0.19/0.69 (E(f4(x251,x252),f4(x251,f4(x252,a1)))),
% 0.19/0.69 inference(scs_inference,[],[15,10,14,20,16,18,2,6])).
% 0.19/0.69 cnf(26,plain,
% 0.19/0.69 (E(f4(x261,x262),f4(f4(x261,a1),x262))),
% 0.19/0.69 inference(scs_inference,[],[15,10,14,20,16,18,2,6,5])).
% 0.19/0.69 cnf(39,plain,
% 0.19/0.69 (E(x391,f4(x391,a1))),
% 0.19/0.69 inference(rename_variables,[],[19])).
% 0.19/0.69 cnf(40,plain,
% 0.19/0.69 (~P1(a1,f4(a1,a2),a2)),
% 0.19/0.69 inference(scs_inference,[],[15,12,11,19,9,16])).
% 0.19/0.69 cnf(41,plain,
% 0.19/0.69 (P1(a1,x411,x411)),
% 0.19/0.69 inference(rename_variables,[],[11])).
% 0.19/0.69 cnf(43,plain,
% 0.19/0.69 (~P1(a2,f3(f4(a1,a2)),a1)),
% 0.19/0.69 inference(scs_inference,[],[15,12,13,11,10,19,9,16,17])).
% 0.19/0.69 cnf(48,plain,
% 0.19/0.69 (P1(x481,f3(x481),a1)),
% 0.19/0.69 inference(rename_variables,[],[12])).
% 0.19/0.69 cnf(52,plain,
% 0.19/0.69 (E(f4(x521,x522),f4(x521,f4(x522,a1)))),
% 0.19/0.69 inference(rename_variables,[],[25])).
% 0.19/0.69 cnf(54,plain,
% 0.19/0.69 (~P1(f3(a1),a2,f4(a1,a2))),
% 0.19/0.69 inference(scs_inference,[],[15,12,48,13,11,41,10,25,26,19,39,9,16,17,8,7,3,18])).
% 0.19/0.69 cnf(58,plain,
% 0.19/0.69 (E(f4(x581,f4(x582,a1)),f4(x581,x582))),
% 0.19/0.69 inference(scs_inference,[],[15,12,48,13,11,41,10,25,52,26,19,39,9,16,17,8,7,3,18,2])).
% 0.19/0.69 cnf(60,plain,
% 0.19/0.69 (E(f4(x601,f4(x602,a1)),f4(x601,x602))),
% 0.19/0.69 inference(rename_variables,[],[58])).
% 0.19/0.69 cnf(61,plain,
% 0.19/0.69 (~P1(f4(a1,a2),a1,a2)),
% 0.19/0.69 inference(scs_inference,[],[10,58,24,54,9,16])).
% 0.19/0.69 cnf(62,plain,
% 0.19/0.69 (P1(x621,a1,x621)),
% 0.19/0.69 inference(rename_variables,[],[10])).
% 0.19/0.69 cnf(65,plain,
% 0.19/0.69 (P1(x651,a1,x651)),
% 0.19/0.69 inference(rename_variables,[],[10])).
% 0.19/0.69 cnf(73,plain,
% 0.19/0.69 (~P1(a1,f4(a1,f4(a2,a1)),a2)),
% 0.19/0.69 inference(scs_inference,[],[10,62,65,14,13,12,58,60,24,54,43,40,9,16,18,17,8])).
% 0.19/0.69 cnf(103,plain,
% 0.19/0.69 (P1(a1,x1031,x1031)),
% 0.19/0.69 inference(rename_variables,[],[11])).
% 0.19/0.69 cnf(106,plain,
% 0.19/0.69 (P1(a1,x1061,x1061)),
% 0.19/0.69 inference(rename_variables,[],[11])).
% 0.19/0.69 cnf(108,plain,
% 0.19/0.69 ($false),
% 0.19/0.69 inference(scs_inference,[],[11,103,106,21,14,73,61,10,9,18,17]),
% 0.19/0.69 ['proof']).
% 0.19/0.69 % SZS output end Proof
% 0.19/0.69 % Total time :0.010000s
%------------------------------------------------------------------------------