TSTP Solution File: GRP008-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP008-1 : 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 : n007.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 00:10:32 EDT 2023
% Result : Unsatisfiable 98.47s 98.62s
% Output : CNFRefutation 98.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:10:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.51/0.59 start to proof:theBenchmark
% 98.47/98.61 %-------------------------------------------
% 98.47/98.61 % File :CSE---1.6
% 98.47/98.61 % Problem :theBenchmark
% 98.47/98.61 % Transform :cnf
% 98.47/98.61 % Format :tptp:raw
% 98.47/98.61 % Command :java -jar mcs_scs.jar %d %s
% 98.47/98.61
% 98.47/98.61 % Result :Theorem 97.870000s
% 98.47/98.61 % Output :CNFRefutation 97.870000s
% 98.47/98.61 %-------------------------------------------
% 98.47/98.62 %--------------------------------------------------------------------------
% 98.47/98.62 % File : GRP008-1 : TPTP v8.1.2. Released v1.0.0.
% 98.47/98.62 % Domain : Group Theory
% 98.47/98.62 % Problem : Unknown meaning
% 98.47/98.62 % Version : [MOW76] axioms.
% 98.47/98.62 % English :
% 98.47/98.62
% 98.47/98.62 % Refs : [Wos65] Wos (1965), Unpublished Note
% 98.47/98.62 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 98.47/98.62 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 98.47/98.62 % Source : [SPRFN]
% 98.47/98.62 % Names : Problem 4 [Wos65]
% 98.47/98.62 % : wos4 [WM76]
% 98.47/98.62
% 98.47/98.62 % Status : Unsatisfiable
% 98.47/98.62 % Rating : 0.05 v8.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.10 v2.5.0, 0.25 v2.4.0, 0.11 v2.3.0, 0.22 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.11 v2.0.0
% 98.47/98.62 % Syntax : Number of clauses : 12 ( 6 unt; 1 nHn; 6 RR)
% 98.47/98.62 % Number of literals : 26 ( 1 equ; 13 neg)
% 98.47/98.62 % Maximal clause size : 4 ( 2 avg)
% 98.47/98.62 % Maximal term depth : 2 ( 1 avg)
% 98.47/98.62 % Number of predicates : 3 ( 2 usr; 0 prp; 1-3 aty)
% 98.47/98.62 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 98.47/98.62 % Number of variables : 27 ( 0 sgn)
% 98.47/98.62 % SPC : CNF_UNS_RFO_SEQ_NHN
% 98.47/98.62
% 98.47/98.62 % Comments :
% 98.47/98.62 %--------------------------------------------------------------------------
% 98.47/98.62 %----Include group theory axioms
% 98.47/98.62 include('Axioms/GRP003-0.ax').
% 98.47/98.62 %--------------------------------------------------------------------------
% 98.47/98.62 cnf(unknown_meaning2,axiom,
% 98.47/98.62 ( ~ q(A)
% 98.47/98.62 | ~ product(A,B,C)
% 98.47/98.62 | product(B,A,C) ) ).
% 98.47/98.62
% 98.47/98.62 cnf(unknown_meaning3,axiom,
% 98.47/98.62 ( product(j(A),A,h(A))
% 98.47/98.62 | product(A,j(A),h(A))
% 98.47/98.62 | q(A) ) ).
% 98.47/98.62
% 98.47/98.62 cnf(unknown_meaning4,axiom,
% 98.47/98.62 ( ~ product(j(A),A,h(A))
% 98.47/98.62 | ~ product(A,j(A),h(A))
% 98.47/98.62 | q(A) ) ).
% 98.47/98.62
% 98.47/98.62 cnf(prove_identity_is_q,negated_conjecture,
% 98.47/98.62 ~ q(identity) ).
% 98.47/98.62
% 98.47/98.62 %--------------------------------------------------------------------------
% 98.47/98.62 %-------------------------------------------
% 98.47/98.62 % Proof found
% 98.47/98.62 % SZS status Theorem for theBenchmark
% 98.47/98.62 % SZS output start Proof
% 98.51/98.63 %ClaNum:24(EqnAxiom:12)
% 98.51/98.63 %VarNum:65(SingletonVarNum:27)
% 98.51/98.63 %MaxLitNum:4
% 98.51/98.63 %MaxfuncDepth:1
% 98.51/98.63 %SharedTerms:2
% 98.51/98.63 %goalClause: 18
% 98.51/98.63 %singleGoalClaCount:1
% 98.51/98.63 [18]~P2(a1)
% 98.51/98.63 [13]P1(x131,a1,x131)
% 98.51/98.63 [14]P1(a1,x141,x141)
% 98.51/98.63 [15]P1(x151,f3(x151),a1)
% 98.51/98.63 [16]P1(f3(x161),x161,a1)
% 98.51/98.63 [17]P1(x171,x172,f4(x171,x172))
% 98.51/98.63 [19]P2(x191)+P1(x191,f5(x191),f2(x191))+P1(f5(x191),x191,f2(x191))
% 98.51/98.63 [22]P2(x221)+~P1(x221,f5(x221),f2(x221))+~P1(f5(x221),x221,f2(x221))
% 98.51/98.63 [20]~P2(x202)+~P1(x202,x201,x203)+P1(x201,x202,x203)
% 98.51/98.63 [21]~P1(x213,x214,x211)+E(x211,x212)+~P1(x213,x214,x212)
% 98.51/98.63 [23]~P1(x236,x234,x231)+P1(x231,x232,x233)+~P1(x234,x232,x235)+~P1(x236,x235,x233)
% 98.51/98.63 [24]~P1(x241,x246,x244)+P1(x241,x242,x243)+~P1(x244,x245,x243)+~P1(x246,x245,x242)
% 98.51/98.63 %EqnAxiom
% 98.51/98.63 [1]E(x11,x11)
% 98.51/98.63 [2]E(x22,x21)+~E(x21,x22)
% 98.51/98.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 98.51/98.63 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 98.51/98.63 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 98.51/98.63 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 98.51/98.63 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 98.51/98.63 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 98.51/98.63 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 98.51/98.63 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 98.51/98.63 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 98.51/98.63 [12]~P2(x121)+P2(x122)+~E(x121,x122)
% 98.51/98.63
% 98.51/98.63 %-------------------------------------------
% 98.51/98.64 cnf(25,plain,
% 98.51/98.64 (E(x251,f4(x251,a1))),
% 98.51/98.64 inference(scs_inference,[],[13,17,21])).
% 98.51/98.64 cnf(26,plain,
% 98.51/98.64 (P1(x261,x262,f4(x261,x262))),
% 98.51/98.64 inference(rename_variables,[],[17])).
% 98.51/98.64 cnf(28,plain,
% 98.51/98.64 (P1(x281,x282,f4(x281,x282))),
% 98.51/98.64 inference(rename_variables,[],[17])).
% 98.51/98.64 cnf(36,plain,
% 98.51/98.64 (P1(x361,x362,f4(x361,x362))),
% 98.51/98.64 inference(rename_variables,[],[17])).
% 98.51/98.64 cnf(38,plain,
% 98.51/98.64 (P1(x381,a1,x381)),
% 98.51/98.64 inference(rename_variables,[],[13])).
% 98.51/98.64 cnf(40,plain,
% 98.51/98.64 (E(f4(a1,a1),a1)),
% 98.51/98.64 inference(scs_inference,[],[13,17,26,28,21,24,8,7,6,5,4,23,2])).
% 98.51/98.64 cnf(43,plain,
% 98.51/98.64 (P1(x431,a1,x431)),
% 98.51/98.64 inference(rename_variables,[],[13])).
% 98.51/98.64 cnf(51,plain,
% 98.51/98.64 (~P1(f5(a1),a1,f2(a1))+~P1(a1,f5(a1),f2(a1))),
% 98.51/98.64 inference(scs_inference,[],[18,13,38,43,14,17,26,28,36,21,24,8,7,6,5,4,23,2,12,11,10,9,3,20,22])).
% 98.51/98.64 cnf(87,plain,
% 98.51/98.64 (E(f4(x871,a1),x871)),
% 98.51/98.64 inference(scs_inference,[],[25,40,8,6,5,4,2])).
% 98.51/98.64 cnf(3317,plain,
% 98.51/98.64 (~P1(a1,f5(a1),f2(a1))+~E(f2(a1),f5(a1))),
% 98.51/98.64 inference(scs_inference,[],[13,51,9])).
% 98.51/98.64 cnf(3326,plain,
% 98.51/98.64 (~E(f2(a1),f5(a1))),
% 98.51/98.64 inference(scs_inference,[],[14,3317,10])).
% 98.51/98.64 cnf(3328,plain,
% 98.51/98.64 (~P1(a1,f2(a1),f5(a1))),
% 98.51/98.64 inference(scs_inference,[],[14,3326,2,21])).
% 98.51/98.64 cnf(3332,plain,
% 98.51/98.64 (~P1(a1,f5(a1),f2(a1))),
% 98.51/98.64 inference(scs_inference,[],[14,3326,21])).
% 98.51/98.64 cnf(3333,plain,
% 98.51/98.64 (P1(a1,x33331,x33331)),
% 98.51/98.64 inference(rename_variables,[],[14])).
% 98.51/98.64 cnf(3341,plain,
% 98.51/98.64 (P1(f5(a1),a1,f2(a1))),
% 98.51/98.64 inference(scs_inference,[],[18,17,87,14,3333,3326,3328,21,24,9,19])).
% 98.51/98.64 cnf(3348,plain,
% 98.51/98.64 ($false),
% 98.51/98.64 inference(scs_inference,[],[3341,13,3326,3332,20,21]),
% 98.51/98.64 ['proof']).
% 98.51/98.64 % SZS output end Proof
% 98.51/98.64 % Total time :97.870000s
%------------------------------------------------------------------------------