%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GRP028-2 : TPTP v8.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 06:38:32 EDT 2024
% Result : Unsatisfiable 0.50s 0.59s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP028-2 : TPTP v8.2.0. Released v1.1.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Jun 20 08:57:53 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.14/0.47 start to proof:theBenchmark
% 0.50/0.58 %-------------------------------------------
% 0.50/0.58 % File :CSE---1.7
% 0.50/0.58 % Problem :theBenchmark
% 0.50/0.58 % Transform :cnf
% 0.50/0.58 % Format :tptp:raw
% 0.50/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.50/0.58
% 0.50/0.58 % Result :Theorem 0.080000s
% 0.50/0.58 % Output :CNFRefutation 0.080000s
% 0.50/0.58 %-------------------------------------------
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.58 % File : GRP028-2 : TPTP v8.2.0. Released v1.1.0.
% 0.50/0.58 % Domain : Group Theory (Semigroups)
% 0.50/0.58 % Problem : In semigroups, left and right solutions => right id exists
% 0.50/0.58 % Version : [MOW76] axioms.
% 0.50/0.58 % English : If there are left and right solutions, then there is a right
% 0.50/0.58 % identity element.
% 0.50/0.58
% 0.50/0.58 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.50/0.58 % Source : [TPTP]
% 0.50/0.58 % Names :
% 0.50/0.58
% 0.50/0.58 % Status : Unsatisfiable
% 0.50/0.58 % Rating : 0.00 v6.4.0, 0.14 v6.3.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.17 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.0.0
% 0.50/0.58 % Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 4 RR)
% 0.50/0.58 % Number of literals : 15 ( 1 equ; 9 neg)
% 0.50/0.58 % Maximal clause size : 4 ( 2 avg)
% 0.50/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.50/0.58 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.50/0.58 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.50/0.58 % Number of variables : 23 ( 0 sgn)
% 0.50/0.58 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.50/0.58
% 0.50/0.58 % Comments :
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.58 %----Include Semigroup axioms
% 0.50/0.58 include('Axioms/GRP002-0.ax').
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.59 cnf(left_soln,hypothesis,
% 0.50/0.59 product(left_solution(X,Y),X,Y) ).
% 0.50/0.59
% 0.50/0.59 cnf(right_soln,hypothesis,
% 0.50/0.59 product(X,right_solution(X,Y),Y) ).
% 0.50/0.59
% 0.50/0.59 %----There is an element for which no X is identity
% 0.50/0.59 cnf(prove_there_is_a_right_identity,negated_conjecture,
% 0.50/0.59 ~ product(not_identity(X),X,not_identity(X)) ).
% 0.50/0.59
% 0.50/0.59 %--------------------------------------------------------------------------
% 0.50/0.59 %-------------------------------------------
% 0.50/0.59 % Proof found
% 0.50/0.59 % SZS status Theorem for theBenchmark
% 0.50/0.59 % SZS output start Proof
% 0.50/0.59 %ClaNum:20(EqnAxiom:13)
% 0.50/0.59 %VarNum:47(SingletonVarNum:23)
% 0.50/0.59 %MaxLitNum:4
% 0.50/0.59 %MaxfuncDepth:1
% 0.50/0.59 %SharedTerms:0
% 0.50/0.59 %goalClause: 17
% 0.50/0.59 %singleGoalClaCount:1
% 0.50/0.59 [17]~P1(f4(x171),x171,f4(x171))
% 0.50/0.59 [14]P1(x141,x142,f1(x141,x142))
% 0.50/0.59 [15]P1(x151,f3(x151,x152),x152)
% 0.50/0.59 [16]P1(f2(x161,x162),x161,x162)
% 0.50/0.59 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 0.50/0.59 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 0.50/0.59 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 0.50/0.59 %EqnAxiom
% 0.50/0.59 [1]E(x11,x11)
% 0.50/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.59 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 0.50/0.59 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 0.50/0.59 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.50/0.59 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.50/0.59 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 0.50/0.59 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 0.50/0.59 [10]~E(x101,x102)+E(f4(x101),f4(x102))
% 0.50/0.59 [11]P1(x112,x113,x114)+~E(x111,x112)+~P1(x111,x113,x114)
% 0.50/0.59 [12]P1(x123,x122,x124)+~E(x121,x122)+~P1(x123,x121,x124)
% 0.50/0.59 [13]P1(x133,x134,x132)+~E(x131,x132)+~P1(x133,x134,x131)
% 0.50/0.59
% 0.50/0.59 %-------------------------------------------
% 0.50/0.59 cnf(24,plain,
% 0.50/0.59 (P1(x241,f3(x241,x242),x242)),
% 0.50/0.59 inference(rename_variables,[],[15])).
% 0.50/0.59 cnf(25,plain,
% 0.50/0.59 (P1(x251,x252,f1(x251,x252))),
% 0.50/0.59 inference(rename_variables,[],[14])).
% 0.50/0.59 cnf(28,plain,
% 0.50/0.59 (P1(x281,f3(x281,x282),x282)),
% 0.50/0.59 inference(rename_variables,[],[15])).
% 0.50/0.59 cnf(30,plain,
% 0.50/0.59 (P1(x301,x302,f1(x301,x302))),
% 0.50/0.59 inference(rename_variables,[],[14])).
% 0.50/0.59 cnf(31,plain,
% 0.50/0.59 (P1(f1(x311,x312),f3(x312,x312),f1(x311,x312))),
% 0.50/0.59 inference(scs_inference,[],[17,14,25,30,15,24,28,16,11,18,12,13,19])).
% 0.50/0.59 cnf(45,plain,
% 0.50/0.59 (P1(f1(x451,x452),f3(f3(x452,x452),f3(x452,x452)),f1(x451,x452))),
% 0.50/0.59 inference(scs_inference,[],[31,14,15,18,19])).
% 0.50/0.59 cnf(106,plain,
% 0.50/0.59 ($false),
% 0.50/0.59 inference(scs_inference,[],[16,17,45,19]),
% 0.50/0.59 ['proof']).
% 0.50/0.59 % SZS output end Proof
% 0.50/0.59 % Total time :0.080000s
%------------------------------------------------------------------------------