%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP007-1 : 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 : n026.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 06:38:26 EDT 2024
% Result : Unsatisfiable 0.54s 0.59s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 10:28:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.54/0.59 %-------------------------------------------
% 0.54/0.59 % File :CSE---1.7
% 0.54/0.59 % Problem :theBenchmark
% 0.54/0.59 % Transform :cnf
% 0.54/0.59 % Format :tptp:raw
% 0.54/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.59
% 0.54/0.59 % Result :Theorem 0.000000s
% 0.54/0.59 % Output :CNFRefutation 0.000000s
% 0.54/0.59 %-------------------------------------------
% 0.54/0.59 %--------------------------------------------------------------------------
% 0.54/0.59 % File : GRP007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.54/0.59 % Domain : Group Theory
% 0.54/0.59 % Problem : The identity element is unique
% 0.54/0.59 % Version : [MOW76] axioms.
% 0.54/0.59 % English :
% 0.54/0.59
% 0.54/0.59 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.54/0.59 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.54/0.59 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.54/0.59 % Source : [SPRFN]
% 0.54/0.59 % Names : Problem 3 [Wos65]
% 0.54/0.59 % : wos3 [WM76]
% 0.54/0.59
% 0.54/0.59 % Status : Unsatisfiable
% 0.54/0.59 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.0.0
% 0.54/0.59 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 4 RR)
% 0.54/0.59 % Number of literals : 19 ( 2 equ; 9 neg)
% 0.54/0.59 % Maximal clause size : 4 ( 1 avg)
% 0.54/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.54/0.59 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.54/0.59 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.54/0.59 % Number of variables : 24 ( 0 sgn)
% 0.54/0.59 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.54/0.59
% 0.54/0.59 % Comments :
% 0.54/0.59 %--------------------------------------------------------------------------
% 0.54/0.59 %----Include group axioms
% 0.54/0.59 include('Axioms/GRP003-0.ax').
% 0.54/0.59 %--------------------------------------------------------------------------
% 0.54/0.59 cnf(another_left_identity,hypothesis,
% 0.54/0.59 product(c,A,A) ).
% 0.54/0.59
% 0.54/0.59 cnf(another_right_identity,hypothesis,
% 0.54/0.59 product(A,c,A) ).
% 0.54/0.59
% 0.54/0.59 cnf(prove_identity_equals_c,negated_conjecture,
% 0.54/0.59 identity != c ).
% 0.54/0.59
% 0.54/0.59 %--------------------------------------------------------------------------
% 0.54/0.59 %-------------------------------------------
% 0.54/0.59 % Proof found
% 0.54/0.59 % SZS status Theorem for theBenchmark
% 0.54/0.59 % SZS output start Proof
% 0.54/0.59 %ClaNum:20(EqnAxiom:9)
% 0.54/0.59 %VarNum:48(SingletonVarNum:24)
% 0.54/0.59 %MaxLitNum:4
% 0.54/0.59 %MaxfuncDepth:1
% 0.54/0.59 %SharedTerms:3
% 0.54/0.59 %goalClause: 17
% 0.54/0.59 %singleGoalClaCount:1
% 0.54/0.59 [17]~E(a1,a2)
% 0.54/0.59 [10]P1(x101,a1,x101)
% 0.54/0.59 [11]P1(x111,a2,x111)
% 0.54/0.59 [12]P1(a1,x121,x121)
% 0.54/0.59 [13]P1(a2,x131,x131)
% 0.54/0.59 [14]P1(x141,f3(x141),a1)
% 0.54/0.59 [15]P1(f3(x151),x151,a1)
% 0.54/0.59 [16]P1(x161,x162,f4(x161,x162))
% 0.54/0.59 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 0.54/0.59 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 0.54/0.59 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 0.54/0.59 %EqnAxiom
% 0.54/0.60 [1]E(x11,x11)
% 0.54/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.60 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.54/0.60 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.54/0.60 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.54/0.60 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.54/0.60 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.54/0.60 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.54/0.60
% 0.54/0.60 %-------------------------------------------
% 0.54/0.60 cnf(23,plain,
% 0.54/0.60 (P1(x231,a1,x231)),
% 0.54/0.60 inference(rename_variables,[],[10])).
% 0.54/0.60 cnf(26,plain,
% 0.54/0.60 (P1(x261,a1,x261)),
% 0.54/0.60 inference(rename_variables,[],[10])).
% 0.54/0.60 cnf(28,plain,
% 0.54/0.60 (P1(x281,x282,f4(x281,x282))),
% 0.54/0.60 inference(rename_variables,[],[16])).
% 0.54/0.60 cnf(30,plain,
% 0.54/0.60 (P1(x301,a2,x301)),
% 0.54/0.60 inference(rename_variables,[],[11])).
% 0.54/0.60 cnf(33,plain,
% 0.54/0.60 (P1(x331,a1,x331)),
% 0.54/0.60 inference(rename_variables,[],[10])).
% 0.54/0.60 cnf(39,plain,
% 0.54/0.60 ($false),
% 0.54/0.60 inference(scs_inference,[],[17,10,23,26,33,11,30,13,16,28,15,18,7,8,9,19,20,2]),
% 0.54/0.60 ['proof']).
% 0.54/0.60 % SZS output end Proof
% 0.54/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------