%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP123-9.003 : TPTP v8.2.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n024.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 06:38:48 EDT 2024 % Result : Unsatisfiable 58.51s 58.65s % Output : CNFRefutation 58.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP123-9.003 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 07:10:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.49/0.57 start to proof:theBenchmark % 58.51/58.63 %------------------------------------------- % 58.51/58.63 % File :CSE---1.7 % 58.51/58.63 % Problem :theBenchmark % 58.51/58.63 % Transform :cnf % 58.51/58.63 % Format :tptp:raw % 58.51/58.63 % Command :java -jar mcs_scs.jar %d %s % 58.51/58.63 % 58.51/58.63 % Result :Theorem 58.000000s % 58.51/58.63 % Output :CNFRefutation 58.000000s % 58.51/58.63 %------------------------------------------- % 58.51/58.64 %-------------------------------------------------------------------------- % 58.51/58.64 % File : GRP123-9.003 : TPTP v8.2.0. Bugfixed v1.2.1. % 58.51/58.64 % Domain : Group Theory (Quasigroups) % 58.51/58.64 % Problem : (3,2,1) conjugate orthogonality % 58.51/58.64 % Version : [Sla93] axioms : Augmented. % 58.51/58.64 % Theorem formulation : Uses a second group. % 58.51/58.64 % English : If ab=xy and a*b = x*y then a=x and b=y, where c*b=a iff ab=c. % 58.51/58.64 % Generate the multiplication table for the specified quasi- % 58.51/58.64 % group with 3 elements. % 58.51/58.64 % 58.51/58.64 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 58.51/58.64 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 58.51/58.64 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 58.51/58.64 % Source : [TPTP] % 58.51/58.64 % Names : % 58.51/58.64 % 58.51/58.64 % Status : Unsatisfiable % 58.51/58.64 % Rating : 0.00 v2.1.0 % 58.51/58.64 % Syntax : Number of clauses : 22 ( 11 unt; 4 nHn; 20 RR) % 58.51/58.64 % Number of literals : 52 ( 0 equ; 28 neg) % 58.51/58.64 % Maximal clause size : 5 ( 2 avg) % 58.51/58.64 % Maximal term depth : 1 ( 1 avg) % 58.51/58.64 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty) % 58.51/58.64 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty) % 58.51/58.64 % Number of variables : 38 ( 0 sgn) % 58.51/58.64 % SPC : CNF_UNS_EPR_NEQ_NHN % 58.51/58.64 % 58.51/58.64 % Comments : [SFS93]'s axiomatization has been modified for this. % 58.51/58.64 % : Substitution axioms are not needed, as any positive equality % 58.51/58.64 % literals should resolve on negative ones directly. % 58.51/58.64 % : Version 9 has surjectivity and rotation % 58.51/58.64 % : tptp2X: -f tptp -s3 GRP123-9.g % 58.51/58.64 % Bugfixes : v1.2.1 - Clauses row_surjectivity and column_surjectivity fixed. % 58.51/58.64 %-------------------------------------------------------------------------- % 58.51/58.64 cnf(row_surjectivity,axiom, % 58.51/58.64 ( ~ group_element(X) % 58.51/58.64 | ~ group_element(Y) % 58.51/58.64 | product(e_1,X,Y) % 58.51/58.64 | product(e_2,X,Y) % 58.51/58.64 | product(e_3,X,Y) ) ). % 58.51/58.64 % 58.51/58.64 cnf(column_surjectivity,axiom, % 58.51/58.64 ( ~ group_element(X) % 58.51/58.64 | ~ group_element(Y) % 58.51/58.64 | product(X,e_1,Y) % 58.51/58.64 | product(X,e_2,Y) % 58.51/58.64 | product(X,e_3,Y) ) ). % 58.51/58.64 % 58.51/58.64 cnf(element_1,axiom, % 58.51/58.64 group_element(e_1) ). % 58.51/58.64 % 58.51/58.64 cnf(element_2,axiom, % 58.51/58.64 group_element(e_2) ). % 58.51/58.64 % 58.51/58.64 cnf(element_3,axiom, % 58.51/58.64 group_element(e_3) ). % 58.51/58.64 % 58.51/58.64 cnf(e_1_is_not_e_2,axiom, % 58.51/58.64 ~ equalish(e_1,e_2) ). % 58.51/58.64 % 58.51/58.64 cnf(e_1_is_not_e_3,axiom, % 58.51/58.64 ~ equalish(e_1,e_3) ). % 58.51/58.64 % 58.51/58.64 cnf(e_2_is_not_e_1,axiom, % 58.51/58.64 ~ equalish(e_2,e_1) ). % 58.51/58.64 % 58.51/58.64 cnf(e_2_is_not_e_3,axiom, % 58.51/58.64 ~ equalish(e_2,e_3) ). % 58.51/58.64 % 58.51/58.64 cnf(e_3_is_not_e_1,axiom, % 58.51/58.64 ~ equalish(e_3,e_1) ). % 58.51/58.64 % 58.51/58.64 cnf(e_3_is_not_e_2,axiom, % 58.51/58.64 ~ equalish(e_3,e_2) ). % 58.51/58.64 % 58.51/58.64 cnf(product1_total_function1,axiom, % 58.51/58.64 ( ~ group_element(X) % 58.51/58.64 | ~ group_element(Y) % 58.51/58.64 | product1(X,Y,e_1) % 58.51/58.64 | product1(X,Y,e_2) % 58.51/58.64 | product1(X,Y,e_3) ) ). % 58.51/58.64 % 58.51/58.64 cnf(product1_total_function2,axiom, % 58.51/58.64 ( ~ product1(X,Y,W) % 58.51/58.64 | ~ product1(X,Y,Z) % 58.51/58.64 | equalish(W,Z) ) ). % 58.51/58.64 % 58.51/58.64 cnf(product1_right_cancellation,axiom, % 58.51/58.64 ( ~ product1(X,W,Y) % 58.51/58.64 | ~ product1(X,Z,Y) % 58.51/58.64 | equalish(W,Z) ) ). % 58.51/58.64 % 58.51/58.64 cnf(product1_left_cancellation,axiom, % 58.51/58.64 ( ~ product1(W,Y,X) % 58.51/58.64 | ~ product1(Z,Y,X) % 58.51/58.64 | equalish(W,Z) ) ). % 58.51/58.64 % 58.51/58.64 cnf(product1_idempotence,axiom, % 58.51/58.64 product1(X,X,X) ). % 58.51/58.65 % 58.51/58.65 cnf(product2_total_function1,axiom, % 58.51/58.65 ( ~ group_element(X) % 58.51/58.65 | ~ group_element(Y) % 58.51/58.65 | product2(X,Y,e_1) % 58.51/58.65 | product2(X,Y,e_2) % 58.51/58.65 | product2(X,Y,e_3) ) ). % 58.51/58.65 % 58.51/58.65 cnf(product2_total_function2,axiom, % 58.51/58.65 ( ~ product2(X,Y,W) % 58.51/58.65 | ~ product2(X,Y,Z) % 58.51/58.65 | equalish(W,Z) ) ). % 58.51/58.65 % 58.51/58.65 cnf(product2_right_cancellation,axiom, % 58.51/58.65 ( ~ product2(X,W,Y) % 58.51/58.65 | ~ product2(X,Z,Y) % 58.51/58.65 | equalish(W,Z) ) ). % 58.51/58.65 % 58.51/58.65 cnf(product2_left_cancellation,axiom, % 58.51/58.65 ( ~ product2(W,Y,X) % 58.51/58.65 | ~ product2(Z,Y,X) % 58.51/58.65 | equalish(W,Z) ) ). % 58.51/58.65 % 58.51/58.65 cnf(product2_idempotence,axiom, % 58.51/58.65 product2(X,X,X) ). % 58.51/58.65 % 58.51/58.65 cnf(qg1a,negated_conjecture, % 58.51/58.65 ( ~ product1(X,Y,Z1) % 58.51/58.65 | ~ product1(Z1,Y,Z2) % 58.51/58.65 | product2(Z2,X,Y) ) ). % 58.51/58.65 % 58.51/58.65 %-------------------------------------------------------------------------- % 58.51/58.65 %------------------------------------------- % 58.51/58.65 % Proof found % 58.51/58.65 % SZS status Theorem for theBenchmark % 58.51/58.65 % SZS output start Proof % 58.51/58.65 %ClaNum:22(EqnAxiom:0) % 58.51/58.65 %VarNum:95(SingletonVarNum:38) % 58.51/58.65 %MaxLitNum:5 % 58.51/58.65 %MaxfuncDepth:0 % 58.51/58.65 %SharedTerms:12 % 58.51/58.65 %goalClause: 22 % 58.51/58.65 [1]P1(a1) % 58.51/58.65 [2]P1(a2) % 58.51/58.65 [3]P1(a3) % 58.51/58.65 [6]~P2(a1,a2) % 58.51/58.65 [7]~P2(a1,a3) % 58.51/58.65 [8]~P2(a2,a1) % 58.51/58.65 [9]~P2(a2,a3) % 58.51/58.65 [10]~P2(a3,a1) % 58.51/58.65 [11]~P2(a3,a2) % 58.51/58.65 [4]P3(x41,x41,x41) % 58.51/58.65 [5]P5(x51,x51,x51) % 58.51/58.65 [16]~P3(x163,x164,x161)+P2(x161,x162)+~P3(x163,x164,x162) % 58.51/58.65 [17]~P5(x173,x174,x171)+P2(x171,x172)+~P5(x173,x174,x172) % 58.51/58.65 [18]~P3(x183,x181,x184)+P2(x181,x182)+~P3(x183,x182,x184) % 58.51/58.65 [19]~P5(x193,x191,x194)+P2(x191,x192)+~P5(x193,x192,x194) % 58.51/58.65 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204) % 58.63/58.65 [21]~P5(x211,x213,x214)+P2(x211,x212)+~P5(x212,x213,x214) % 58.63/58.65 [22]~P3(x222,x223,x224)+P5(x221,x222,x223)+~P3(x224,x223,x221) % 58.63/58.65 [12]~P1(x122)+~P1(x121)+P3(x121,x122,a2)+P3(x121,x122,a3)+P3(x121,x122,a1) % 58.63/58.65 [13]~P1(x132)+~P1(x131)+P5(x131,x132,a2)+P5(x131,x132,a3)+P5(x131,x132,a1) % 58.63/58.65 [14]~P1(x142)+~P1(x141)+P4(x141,a2,x142)+P4(x141,a3,x142)+P4(x141,a1,x142) % 58.63/58.65 [15]~P1(x152)+~P1(x151)+P4(a2,x151,x152)+P4(a3,x151,x152)+P4(a1,x151,x152) % 58.63/58.65 %EqnAxiom % 58.63/58.65 % 58.63/58.65 %------------------------------------------- % 58.72/58.74 cnf(55,plain, % 58.72/58.74 (P5(a2,a1,a2)+P3(a1,a2,a3)+P3(a1,a2,a1)), % 58.72/58.74 inference(scs_inference,[],[4,2,1,22,12])). % 58.72/58.74 cnf(147,plain, % 58.72/58.74 (~P3(x1471,a2,a1)+~P3(a1,a2,x1471)), % 58.72/58.74 inference(scs_inference,[],[5,6,17,22])). % 58.72/58.74 cnf(178,plain, % 58.72/58.74 (P5(a2,a1,a2)+P3(a1,a2,a3)), % 58.72/58.74 inference(scs_inference,[],[147,55])). % 58.72/58.74 cnf(333,plain, % 58.72/58.74 (P3(a1,a2,a2)+P3(a1,a2,a3)), % 58.72/58.74 inference(scs_inference,[],[2,1,147,12])). % 58.72/58.74 cnf(488,plain, % 58.72/58.74 (P3(a3,a2,a2)+P3(a3,a2,a3)+~P3(a1,a2,a3)), % 58.72/58.74 inference(scs_inference,[],[2,3,147,12])). % 58.72/58.74 cnf(519,plain, % 58.72/58.74 (P5(a2,a3,a2)+P3(a3,a2,a3)+~P3(a1,a2,a3)), % 58.72/58.74 inference(scs_inference,[],[4,488,22])). % 58.72/58.74 cnf(550,plain, % 58.72/58.74 (P5(a3,a3,a2)+P5(a2,a3,a2)+~P3(a1,a2,a3)), % 58.72/58.74 inference(scs_inference,[],[519,22])). % 58.72/58.74 cnf(138693,plain, % 58.72/58.74 (P5(x1386931,x1386931,x1386931)), % 58.72/58.74 inference(rename_variables,[],[5])). % 58.72/58.74 cnf(138696,plain, % 58.72/58.74 (P5(x1386961,x1386961,x1386961)), % 58.72/58.74 inference(rename_variables,[],[5])). % 58.72/58.74 cnf(138699,plain, % 58.72/58.74 (P3(x1386991,x1386991,x1386991)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138702,plain, % 58.72/58.74 (P3(x1387021,x1387021,x1387021)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138704,plain, % 58.72/58.74 (~P5(a1,a1,a3)), % 58.72/58.74 inference(scs_inference,[],[7,4,138699,5,138693,138696,19,21,16,20,17])). % 58.72/58.74 cnf(138708,plain, % 58.72/58.74 (P3(x1387081,x1387081,x1387081)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138710,plain, % 58.72/58.74 (P5(a1,a3,a2)), % 58.72/58.74 inference(scs_inference,[],[1,7,3,4,138699,138702,5,138693,138696,19,21,16,20,17,18,13])). % 58.72/58.74 cnf(138715,plain, % 58.72/58.74 (P3(a1,a3,a2)), % 58.72/58.74 inference(scs_inference,[],[1,7,3,4,138699,138702,138708,5,138693,138696,19,21,16,20,17,18,13,22,12])). % 58.72/58.74 cnf(138719,plain, % 58.72/58.74 (~P5(a2,a1,a2)), % 58.72/58.74 inference(scs_inference,[],[138715,8,138704,5,22,19])). % 58.72/58.74 cnf(138720,plain, % 58.72/58.74 (P5(x1387201,x1387201,x1387201)), % 58.72/58.74 inference(rename_variables,[],[5])). % 58.72/58.74 cnf(138723,plain, % 58.72/58.74 (P3(x1387231,x1387231,x1387231)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138736,plain, % 58.72/58.74 (P3(a1,a2,a2)+P5(a3,a3,a2)), % 58.72/58.74 inference(scs_inference,[],[138715,8,10,138704,138710,4,138723,5,138720,22,19,18,17,20,21,16,550,178,333])). % 58.72/58.74 cnf(138745,plain, % 58.72/58.74 (P3(x1387451,x1387451,x1387451)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138755,plain, % 58.72/58.74 (P3(x1387551,x1387551,x1387551)), % 58.72/58.74 inference(rename_variables,[],[4])). % 58.72/58.74 cnf(138762,plain, % 58.72/58.74 ($false), % 58.72/58.74 inference(scs_inference,[],[11,138719,138710,6,138715,10,4,138745,138755,5,22,20,21,17,18,19,16,138736]), % 58.72/58.74 ['proof']). % 58.72/58.83 % SZS output end Proof % 58.72/58.83 % Total time :58.000000s %------------------------------------------------------------------------------