TSTP Solution File: GRP007-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 00:10:32 EDT 2023
% Result : Unsatisfiable 0.23s 0.69s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.38 % Computer : n017.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Aug 28 22:54:13 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.64 start to proof:theBenchmark
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 % File :CSE---1.6
% 0.23/0.69 % Problem :theBenchmark
% 0.23/0.69 % Transform :cnf
% 0.23/0.69 % Format :tptp:raw
% 0.23/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.69
% 0.23/0.69 % Result :Theorem 0.000000s
% 0.23/0.69 % Output :CNFRefutation 0.000000s
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 %--------------------------------------------------------------------------
% 0.23/0.69 % File : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.23/0.69 % Domain : Group Theory
% 0.23/0.69 % Problem : The identity element is unique
% 0.23/0.69 % Version : [MOW76] axioms.
% 0.23/0.69 % English :
% 0.23/0.69
% 0.23/0.69 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.23/0.69 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.23/0.69 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.23/0.69 % Source : [SPRFN]
% 0.23/0.69 % Names : Problem 3 [Wos65]
% 0.23/0.69 % : wos3 [WM76]
% 0.23/0.69
% 0.23/0.69 % Status : Unsatisfiable
% 0.23/0.69 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.0.0
% 0.23/0.69 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 4 RR)
% 0.23/0.69 % Number of literals : 19 ( 2 equ; 9 neg)
% 0.23/0.69 % Maximal clause size : 4 ( 1 avg)
% 0.23/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.23/0.69 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.23/0.69 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.23/0.69 % Number of variables : 24 ( 0 sgn)
% 0.23/0.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.23/0.69
% 0.23/0.69 % Comments :
% 0.23/0.69 %--------------------------------------------------------------------------
% 0.23/0.69 %----Include group axioms
% 0.23/0.69 include('Axioms/GRP003-0.ax').
% 0.23/0.69 %--------------------------------------------------------------------------
% 0.23/0.69 cnf(another_left_identity,hypothesis,
% 0.23/0.69 product(c,A,A) ).
% 0.23/0.69
% 0.23/0.69 cnf(another_right_identity,hypothesis,
% 0.23/0.69 product(A,c,A) ).
% 0.23/0.69
% 0.23/0.69 cnf(prove_identity_equals_c,negated_conjecture,
% 0.23/0.69 identity != c ).
% 0.23/0.69
% 0.23/0.69 %--------------------------------------------------------------------------
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 % Proof found
% 0.23/0.69 % SZS status Theorem for theBenchmark
% 0.23/0.69 % SZS output start Proof
% 0.23/0.70 %ClaNum:20(EqnAxiom:9)
% 0.23/0.70 %VarNum:48(SingletonVarNum:24)
% 0.23/0.70 %MaxLitNum:4
% 0.23/0.70 %MaxfuncDepth:1
% 0.23/0.70 %SharedTerms:3
% 0.23/0.70 %goalClause: 17
% 0.23/0.70 %singleGoalClaCount:1
% 0.23/0.70 [17]~E(a1,a2)
% 0.23/0.70 [10]P1(x101,a1,x101)
% 0.23/0.70 [11]P1(x111,a2,x111)
% 0.23/0.70 [12]P1(a1,x121,x121)
% 0.23/0.70 [13]P1(a2,x131,x131)
% 0.23/0.70 [14]P1(x141,f3(x141),a1)
% 0.23/0.70 [15]P1(f3(x151),x151,a1)
% 0.23/0.70 [16]P1(x161,x162,f4(x161,x162))
% 0.23/0.70 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 0.23/0.70 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 0.23/0.70 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 0.23/0.70 %EqnAxiom
% 0.23/0.70 [1]E(x11,x11)
% 0.23/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.23/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.23/0.70 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.23/0.70 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.23/0.70 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.23/0.70 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.23/0.70 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.23/0.70 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.23/0.70
% 0.23/0.70 %-------------------------------------------
% 0.23/0.71 cnf(22,plain,
% 0.23/0.71 (P1(a2,x221,x221)),
% 0.23/0.71 inference(rename_variables,[],[13])).
% 0.23/0.71 cnf(23,plain,
% 0.23/0.71 (P1(x231,a1,x231)),
% 0.23/0.71 inference(rename_variables,[],[10])).
% 0.23/0.71 cnf(33,plain,
% 0.23/0.71 ($false),
% 0.23/0.71 inference(scs_inference,[],[17,10,23,11,13,22,16,18,20,19,2]),
% 0.23/0.71 ['proof']).
% 0.23/0.71 % SZS output end Proof
% 0.23/0.71 % Total time :0.000000s
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