TSTP Solution File: GRP021-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP021-1 : 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 : n020.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 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP021-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.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 21:29:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 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 0.000000s
% 0.20/0.62 % Output :CNFRefutation 0.000000s
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 % File : GRP021-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.62 % Domain : Group Theory
% 0.20/0.62 % Problem : X times inverse of X is the identity
% 0.20/0.62 % Version : [MOW76] axioms.
% 0.20/0.62 % English :
% 0.20/0.62
% 0.20/0.62 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.62 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 0.20/0.62 % Source : [MOW76]
% 0.20/0.62 % Names : Identity established [MOW76]
% 0.20/0.62 % : Lemma proved [OMW76]
% 0.20/0.62
% 0.20/0.62 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v6.0.0, 0.22 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.00 v2.0.0
% 0.20/0.62 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.20/0.62 % Number of literals : 17 ( 2 equ; 9 neg)
% 0.20/0.62 % Maximal clause size : 4 ( 1 avg)
% 0.20/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.62 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.20/0.62 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 22 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %----Include group theory axioms
% 0.20/0.62 include('Axioms/GRP003-0.ax').
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(prove_X_times_inverse_X_is_id,negated_conjecture,
% 0.20/0.62 multiply(a,inverse(a)) != 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:18(EqnAxiom:9)
% 0.20/0.63 %VarNum:44(SingletonVarNum:22)
% 0.20/0.63 %MaxLitNum:4
% 0.20/0.63 %MaxfuncDepth:2
% 0.20/0.63 %SharedTerms:5
% 0.20/0.63 %goalClause: 15
% 0.20/0.63 %singleGoalClaCount:1
% 0.20/0.63 [15]~E(f4(a2,f3(a2)),a1)
% 0.20/0.63 [10]P1(x101,a1,x101)
% 0.20/0.63 [11]P1(a1,x111,x111)
% 0.20/0.63 [12]P1(x121,f3(x121),a1)
% 0.20/0.63 [13]P1(f3(x131),x131,a1)
% 0.20/0.63 [14]P1(x141,x142,f4(x141,x142))
% 0.20/0.63 [16]~P1(x163,x164,x161)+E(x161,x162)+~P1(x163,x164,x162)
% 0.20/0.63 [17]~P1(x176,x174,x171)+P1(x171,x172,x173)+~P1(x174,x172,x175)+~P1(x176,x175,x173)
% 0.20/0.63 [18]~P1(x181,x186,x184)+P1(x181,x182,x183)+~P1(x184,x185,x183)+~P1(x186,x185,x182)
% 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(f3(x41),f3(x42))
% 0.20/0.63 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.20/0.63 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.20/0.63 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.20/0.63 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.20/0.63 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(20,plain,
% 0.20/0.63 (P1(x201,x202,f4(x201,x202))),
% 0.20/0.63 inference(rename_variables,[],[14])).
% 0.20/0.63 cnf(24,plain,
% 0.20/0.63 (~E(a1,f4(a2,f3(a2)))),
% 0.20/0.63 inference(scs_inference,[],[15,10,14,20,16,18,2])).
% 0.20/0.63 cnf(40,plain,
% 0.20/0.63 ($false),
% 0.20/0.63 inference(scs_inference,[],[12,14,24,16]),
% 0.20/0.63 ['proof']).
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time :0.000000s
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