%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP032-3 : 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 : n001.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 06:38:33 EDT 2024
% Result : Unsatisfiable 0.15s 0.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP032-3 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n001.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Thu Jun 20 10:54:39 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 0.15/0.54 %-------------------------------------------
% 0.15/0.54 % File :CSE---1.7
% 0.15/0.54 % Problem :theBenchmark
% 0.15/0.54 % Transform :cnf
% 0.15/0.54 % Format :tptp:raw
% 0.15/0.54 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.54
% 0.15/0.54 % Result :Theorem 0.000000s
% 0.15/0.54 % Output :CNFRefutation 0.000000s
% 0.15/0.54 %-------------------------------------------
% 0.15/0.55 %--------------------------------------------------------------------------
% 0.15/0.55 % File : GRP032-3 : TPTP v8.2.0. Released v1.0.0.
% 0.15/0.55 % Domain : Group Theory (Subgroups)
% 0.15/0.55 % Problem : In subgroups, there is an identity
% 0.15/0.55 % Version : [Wos65] axioms.
% 0.15/0.55 % English :
% 0.15/0.55
% 0.15/0.55 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.15/0.55 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.15/0.55 % Source : [SPRFN]
% 0.15/0.55 % Names : Problem 12 [Wos65]
% 0.15/0.55 % : wos12 [WM76]
% 0.15/0.55
% 0.15/0.55 % Status : Unsatisfiable
% 0.15/0.55 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.0.0
% 0.15/0.55 % Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 6 RR)
% 0.15/0.55 % Number of literals : 22 ( 1 equ; 12 neg)
% 0.15/0.55 % Maximal clause size : 4 ( 2 avg)
% 0.15/0.55 % Maximal term depth : 2 ( 1 avg)
% 0.15/0.55 % Number of predicates : 3 ( 2 usr; 0 prp; 1-3 aty)
% 0.15/0.55 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.15/0.55 % Number of variables : 25 ( 0 sgn)
% 0.15/0.55 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.15/0.55
% 0.15/0.55 % Comments :
% 0.15/0.55 %--------------------------------------------------------------------------
% 0.15/0.55 %----Include group theory axioms
% 0.15/0.55 include('Axioms/GRP003-0.ax').
% 0.15/0.55 %----Include sub-group theory axioms
% 0.15/0.55 include('Axioms/GRP003-2.ax').
% 0.15/0.55 %--------------------------------------------------------------------------
% 0.15/0.55 cnf(a_is_in_subgroup,hypothesis,
% 0.15/0.55 subgroup_member(a) ).
% 0.15/0.55
% 0.15/0.55 cnf(prove_identity_is_in_subgroup,negated_conjecture,
% 0.15/0.55 ~ subgroup_member(identity) ).
% 0.15/0.55
% 0.15/0.55 %--------------------------------------------------------------------------
% 0.15/0.55 %-------------------------------------------
% 0.15/0.55 % Proof found
% 0.15/0.55 % SZS status Theorem for theBenchmark
% 0.15/0.55 % SZS output start Proof
% 0.15/0.55 %ClaNum:21(EqnAxiom:10)
% 0.15/0.55 %VarNum:50(SingletonVarNum:25)
% 0.15/0.55 %MaxLitNum:4
% 0.15/0.55 %MaxfuncDepth:1
% 0.15/0.55 %SharedTerms:4
% 0.15/0.55 %goalClause: 17
% 0.15/0.55 %singleGoalClaCount:1
% 0.15/0.55 [11]P1(a1)
% 0.15/0.55 [17]~P1(a2)
% 0.15/0.55 [12]P2(x121,a2,x121)
% 0.15/0.55 [13]P2(a2,x131,x131)
% 0.15/0.55 [14]P2(x141,f3(x141),a2)
% 0.15/0.55 [15]P2(f3(x151),x151,a2)
% 0.15/0.55 [16]P2(x161,x162,f4(x161,x162))
% 0.15/0.55 [19]~P2(x193,x194,x191)+E(x191,x192)+~P2(x193,x194,x192)
% 0.15/0.55 [18]P1(x181)+~P1(x182)+~P1(x183)+~P2(x183,f3(x182),x181)
% 0.15/0.55 [20]~P2(x206,x204,x201)+P2(x201,x202,x203)+~P2(x204,x202,x205)+~P2(x206,x205,x203)
% 0.15/0.55 [21]~P2(x211,x216,x214)+P2(x211,x212,x213)+~P2(x214,x215,x213)+~P2(x216,x215,x212)
% 0.15/0.55 %EqnAxiom
% 0.15/0.55 [1]E(x11,x11)
% 0.15/0.55 [2]E(x22,x21)+~E(x21,x22)
% 0.15/0.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.15/0.55 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.15/0.55 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.15/0.55 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.15/0.55 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.15/0.55 [8]P2(x82,x83,x84)+~E(x81,x82)+~P2(x81,x83,x84)
% 0.15/0.55 [9]P2(x93,x92,x94)+~E(x91,x92)+~P2(x93,x91,x94)
% 0.15/0.55 [10]P2(x103,x104,x102)+~E(x101,x102)+~P2(x103,x104,x101)
% 0.15/0.55
% 0.15/0.55 %-------------------------------------------
% 0.15/0.55 cnf(22,plain,
% 0.15/0.55 ($false),
% 0.15/0.55 inference(scs_inference,[],[17,11,14,18]),
% 0.15/0.55 ['proof']).
% 0.15/0.55 % SZS output end Proof
% 0.15/0.55 % Total time :0.000000s
%------------------------------------------------------------------------------