TSTP Solution File: GRP125-4.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 00:11:04 EDT 2023
% Result : Unsatisfiable 0.53s 0.63s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:16:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.52/0.56 start to proof:theBenchmark
% 0.53/0.62 %-------------------------------------------
% 0.53/0.62 % File :CSE---1.6
% 0.53/0.62 % Problem :theBenchmark
% 0.53/0.62 % Transform :cnf
% 0.53/0.62 % Format :tptp:raw
% 0.53/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.62
% 0.53/0.62 % Result :Theorem 0.010000s
% 0.53/0.62 % Output :CNFRefutation 0.010000s
% 0.53/0.62 %-------------------------------------------
% 0.53/0.63 %--------------------------------------------------------------------------
% 0.53/0.63 % File : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.53/0.63 % Domain : Group Theory (Quasigroups)
% 0.53/0.63 % Problem : (a.b).(b.a) = a
% 0.53/0.63 % Version : [Sla93] axioms : Augmented.
% 0.53/0.63 % English : Generate the multiplication table for the specified quasi-
% 0.53/0.63 % group with 3 elements.
% 0.53/0.63
% 0.53/0.63 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 0.53/0.63 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 0.53/0.63 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 0.53/0.63 % Source : [TPTP]
% 0.53/0.63 % Names :
% 0.53/0.63
% 0.53/0.63 % Status : Unsatisfiable
% 0.53/0.63 % Rating : 0.00 v2.1.0
% 0.53/0.63 % Syntax : Number of clauses : 19 ( 10 unt; 3 nHn; 18 RR)
% 0.53/0.63 % Number of literals : 43 ( 0 equ; 24 neg)
% 0.53/0.63 % Maximal clause size : 5 ( 2 avg)
% 0.53/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.53/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 0.53/0.63 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.53/0.63 % Number of variables : 31 ( 0 sgn)
% 0.53/0.63 % SPC : CNF_UNS_EPR_NEQ_NHN
% 0.53/0.63
% 0.53/0.63 % Comments : [SFS93]'s axiomatization has been modified for this.
% 0.53/0.63 % : Substitution axioms are not needed, as any positive equality
% 0.53/0.63 % literals should resolve on negative ones directly.
% 0.53/0.63 % : Version 4 has surjectivity and rotation
% 0.53/0.63 % : tptp2X: -f tptp -s3 GRP125-4.g
% 0.53/0.63 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed.
% 0.53/0.63 %--------------------------------------------------------------------------
% 0.53/0.63 cnf(row_surjectivity,axiom,
% 0.53/0.63 ( ~ group_element(X)
% 0.53/0.63 | ~ group_element(Y)
% 0.53/0.63 | product(e_1,X,Y)
% 0.53/0.63 | product(e_2,X,Y)
% 0.53/0.63 | product(e_3,X,Y) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(column_surjectivity,axiom,
% 0.53/0.63 ( ~ group_element(X)
% 0.53/0.63 | ~ group_element(Y)
% 0.53/0.63 | product(X,e_1,Y)
% 0.53/0.63 | product(X,e_2,Y)
% 0.53/0.63 | product(X,e_3,Y) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(qg3_1,negated_conjecture,
% 0.53/0.63 ( product(X,Y,Z1)
% 0.53/0.63 | ~ product(Z1,Z2,X)
% 0.53/0.63 | ~ product(Y,X,Z2) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(qg3_2,negated_conjecture,
% 0.53/0.63 ( product(Y,X,Z2)
% 0.53/0.63 | ~ product(Z1,Z2,X)
% 0.53/0.63 | ~ product(X,Y,Z1) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(element_1,axiom,
% 0.53/0.63 group_element(e_1) ).
% 0.53/0.63
% 0.53/0.63 cnf(element_2,axiom,
% 0.53/0.63 group_element(e_2) ).
% 0.53/0.63
% 0.53/0.63 cnf(element_3,axiom,
% 0.53/0.63 group_element(e_3) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_1_is_not_e_2,axiom,
% 0.53/0.63 ~ equalish(e_1,e_2) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_1_is_not_e_3,axiom,
% 0.53/0.63 ~ equalish(e_1,e_3) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_2_is_not_e_1,axiom,
% 0.53/0.63 ~ equalish(e_2,e_1) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_2_is_not_e_3,axiom,
% 0.53/0.63 ~ equalish(e_2,e_3) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_3_is_not_e_1,axiom,
% 0.53/0.63 ~ equalish(e_3,e_1) ).
% 0.53/0.63
% 0.53/0.63 cnf(e_3_is_not_e_2,axiom,
% 0.53/0.63 ~ equalish(e_3,e_2) ).
% 0.53/0.63
% 0.53/0.63 cnf(product_total_function1,axiom,
% 0.53/0.63 ( ~ group_element(X)
% 0.53/0.63 | ~ group_element(Y)
% 0.53/0.63 | product(X,Y,e_1)
% 0.53/0.63 | product(X,Y,e_2)
% 0.53/0.63 | product(X,Y,e_3) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(product_total_function2,axiom,
% 0.53/0.63 ( ~ product(X,Y,W)
% 0.53/0.63 | ~ product(X,Y,Z)
% 0.53/0.63 | equalish(W,Z) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(product_right_cancellation,axiom,
% 0.53/0.63 ( ~ product(X,W,Y)
% 0.53/0.63 | ~ product(X,Z,Y)
% 0.53/0.63 | equalish(W,Z) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(product_left_cancellation,axiom,
% 0.53/0.63 ( ~ product(W,Y,X)
% 0.53/0.63 | ~ product(Z,Y,X)
% 0.53/0.63 | equalish(W,Z) ) ).
% 0.53/0.63
% 0.53/0.63 cnf(product_idempotence,axiom,
% 0.53/0.63 product(X,X,X) ).
% 0.53/0.63
% 0.53/0.63 cnf(qg3,negated_conjecture,
% 0.53/0.63 ( ~ product(X,Y,Z1)
% 0.53/0.63 | ~ product(Y,X,Z2)
% 0.53/0.63 | product(Z1,Z2,X) ) ).
% 0.53/0.63
% 0.53/0.63 %--------------------------------------------------------------------------
% 0.53/0.63 %-------------------------------------------
% 0.53/0.63 % Proof found
% 0.53/0.63 % SZS status Theorem for theBenchmark
% 0.53/0.63 % SZS output start Proof
% 0.53/0.63 %ClaNum:19(EqnAxiom:0)
% 0.53/0.63 %VarNum:78(SingletonVarNum:31)
% 0.53/0.63 %MaxLitNum:5
% 0.53/0.63 %MaxfuncDepth:0
% 0.53/0.63 %SharedTerms:12
% 0.53/0.63 %goalClause: 17 18 19
% 0.53/0.63 [1]P1(a1)
% 0.53/0.63 [2]P1(a2)
% 0.53/0.63 [3]P1(a3)
% 0.53/0.63 [5]~P2(a1,a2)
% 0.53/0.63 [6]~P2(a1,a3)
% 0.53/0.63 [7]~P2(a2,a1)
% 0.53/0.63 [8]~P2(a2,a3)
% 0.53/0.63 [9]~P2(a3,a1)
% 0.53/0.63 [10]~P2(a3,a2)
% 0.53/0.63 [4]P3(x41,x41,x41)
% 0.53/0.63 [14]~P3(x143,x144,x141)+P2(x141,x142)+~P3(x143,x144,x142)
% 0.53/0.63 [15]~P3(x153,x151,x154)+P2(x151,x152)+~P3(x153,x152,x154)
% 0.53/0.63 [16]~P3(x161,x163,x164)+P2(x161,x162)+~P3(x162,x163,x164)
% 0.53/0.63 [17]~P3(x173,x174,x171)+P3(x171,x172,x173)+~P3(x174,x173,x172)
% 0.53/0.63 [18]~P3(x182,x181,x184)+P3(x181,x182,x183)+~P3(x184,x183,x182)
% 0.53/0.63 [19]~P3(x192,x191,x194)+P3(x191,x192,x193)+~P3(x193,x194,x191)
% 0.53/0.63 [11]~P1(x112)+~P1(x111)+P3(x111,x112,a2)+P3(x111,x112,a3)+P3(x111,x112,a1)
% 0.53/0.63 [12]~P1(x122)+~P1(x121)+P3(x121,a2,x122)+P3(x121,a3,x122)+P3(x121,a1,x122)
% 0.53/0.63 [13]~P1(x132)+~P1(x131)+P3(a2,x131,x132)+P3(a3,x131,x132)+P3(a1,x131,x132)
% 0.53/0.63 %EqnAxiom
% 0.53/0.63
% 0.53/0.63 %-------------------------------------------
% 0.54/0.63 cnf(22,plain,
% 0.54/0.63 (P3(x221,x221,x221)),
% 0.54/0.63 inference(rename_variables,[],[4])).
% 0.54/0.63 cnf(24,plain,
% 0.54/0.63 (~P3(a1,a1,a2)),
% 0.54/0.63 inference(scs_inference,[],[4,22,5,16,15,14])).
% 0.54/0.63 cnf(40,plain,
% 0.54/0.63 (~P3(a3,a1,a1)),
% 0.54/0.63 inference(scs_inference,[],[6,4,16])).
% 0.54/0.63 cnf(41,plain,
% 0.54/0.63 (P3(x411,x411,x411)),
% 0.54/0.63 inference(rename_variables,[],[4])).
% 0.54/0.63 cnf(43,plain,
% 0.54/0.63 (~P3(a3,a3,a1)),
% 0.54/0.63 inference(scs_inference,[],[6,4,41,16,14])).
% 0.54/0.63 cnf(44,plain,
% 0.54/0.63 (P3(x441,x441,x441)),
% 0.54/0.63 inference(rename_variables,[],[4])).
% 0.54/0.63 cnf(46,plain,
% 0.54/0.63 (~P3(a3,a1,a3)),
% 0.54/0.63 inference(scs_inference,[],[6,4,41,44,16,14,15])).
% 0.54/0.63 cnf(61,plain,
% 0.54/0.63 (P3(x611,x611,x611)),
% 0.54/0.63 inference(rename_variables,[],[4])).
% 0.54/0.63 cnf(68,plain,
% 0.54/0.63 (P3(x681,x681,x681)),
% 0.54/0.63 inference(rename_variables,[],[4])).
% 0.54/0.63 cnf(76,plain,
% 0.54/0.63 ($false),
% 0.54/0.63 inference(scs_inference,[],[8,3,4,61,68,40,43,46,24,1,16,12,11,19,14,17,13,18]),
% 0.54/0.63 ['proof']).
% 0.54/0.63 % SZS output end Proof
% 0.54/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------