%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n023.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 06:38:50 EDT 2024 % Result : Unsatisfiable 58.57s 58.66s % Output : CNFRefutation 58.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 10:31:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.54/0.57 start to proof:theBenchmark % 58.57/58.63 %------------------------------------------- % 58.57/58.63 % File :CSE---1.7 % 58.57/58.63 % Problem :theBenchmark % 58.57/58.63 % Transform :cnf % 58.57/58.63 % Format :tptp:raw % 58.57/58.63 % Command :java -jar mcs_scs.jar %d %s % 58.57/58.63 % 58.57/58.63 % Result :Theorem 58.000000s % 58.57/58.63 % Output :CNFRefutation 58.000000s % 58.57/58.63 %------------------------------------------- % 58.57/58.65 %-------------------------------------------------------------------------- % 58.57/58.65 % File : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0. % 58.57/58.65 % Domain : Group Theory (Quasigroups) % 58.57/58.65 % Problem : (a.b).(b.a) = a % 58.57/58.65 % Version : [Sla93] axioms. % 58.57/58.65 % English : Generate the multiplication table for the specified quasi- % 58.57/58.65 % group with 3 elements. % 58.57/58.65 % 58.57/58.65 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 58.57/58.65 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 58.57/58.65 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 58.57/58.65 % Source : [Sla93] % 58.57/58.65 % Names : QG3 [Sla93] % 58.57/58.65 % : QG3 [FSB93] % 58.57/58.65 % : QG3 [SFS95] % 58.57/58.65 % : Bennett QG3 [TPTP] % 58.57/58.65 % 58.57/58.65 % Status : Unsatisfiable % 58.57/58.65 % Rating : 0.00 v2.1.0 % 58.57/58.65 % Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 14 RR) % 58.57/58.65 % Number of literals : 27 ( 0 equ; 16 neg) % 58.57/58.65 % Maximal clause size : 5 ( 1 avg) % 58.57/58.65 % Maximal term depth : 1 ( 1 avg) % 58.57/58.65 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 58.57/58.65 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty) % 58.57/58.65 % Number of variables : 19 ( 0 sgn) % 58.57/58.65 % SPC : CNF_UNS_EPR_NEQ_NHN % 58.57/58.65 % 58.57/58.65 % Comments : [SFS93]'s axiomatization has been modified for this. % 58.57/58.65 % : Substitution axioms are not needed, as any positive equality % 58.57/58.65 % literals should resolve on negative ones directly. % 58.57/58.65 % : tptp2X: -f tptp -s3 GRP125-1.g % 58.57/58.65 %-------------------------------------------------------------------------- % 58.57/58.65 cnf(element_1,axiom, % 58.57/58.65 group_element(e_1) ). % 58.57/58.65 % 58.57/58.65 cnf(element_2,axiom, % 58.57/58.65 group_element(e_2) ). % 58.57/58.65 % 58.57/58.65 cnf(element_3,axiom, % 58.57/58.65 group_element(e_3) ). % 58.57/58.65 % 58.57/58.65 cnf(e_1_is_not_e_2,axiom, % 58.57/58.65 ~ equalish(e_1,e_2) ). % 58.57/58.65 % 58.57/58.65 cnf(e_1_is_not_e_3,axiom, % 58.57/58.65 ~ equalish(e_1,e_3) ). % 58.57/58.65 % 58.57/58.65 cnf(e_2_is_not_e_1,axiom, % 58.57/58.65 ~ equalish(e_2,e_1) ). % 58.57/58.65 % 58.57/58.65 cnf(e_2_is_not_e_3,axiom, % 58.57/58.65 ~ equalish(e_2,e_3) ). % 58.57/58.65 % 58.57/58.65 cnf(e_3_is_not_e_1,axiom, % 58.57/58.65 ~ equalish(e_3,e_1) ). % 58.57/58.65 % 58.57/58.65 cnf(e_3_is_not_e_2,axiom, % 58.57/58.65 ~ equalish(e_3,e_2) ). % 58.57/58.65 % 58.57/58.65 cnf(product_total_function1,axiom, % 58.57/58.65 ( ~ group_element(X) % 58.57/58.65 | ~ group_element(Y) % 58.57/58.65 | product(X,Y,e_1) % 58.57/58.65 | product(X,Y,e_2) % 58.57/58.65 | product(X,Y,e_3) ) ). % 58.57/58.65 % 58.57/58.65 cnf(product_total_function2,axiom, % 58.57/58.65 ( ~ product(X,Y,W) % 58.57/58.65 | ~ product(X,Y,Z) % 58.57/58.65 | equalish(W,Z) ) ). % 58.57/58.65 % 58.57/58.65 cnf(product_right_cancellation,axiom, % 58.57/58.65 ( ~ product(X,W,Y) % 58.57/58.66 | ~ product(X,Z,Y) % 58.57/58.66 | equalish(W,Z) ) ). % 58.57/58.66 % 58.57/58.66 cnf(product_left_cancellation,axiom, % 58.57/58.66 ( ~ product(W,Y,X) % 58.57/58.66 | ~ product(Z,Y,X) % 58.57/58.66 | equalish(W,Z) ) ). % 58.57/58.66 % 58.57/58.66 cnf(product_idempotence,axiom, % 58.57/58.66 product(X,X,X) ). % 58.57/58.66 % 58.57/58.66 cnf(qg3,negated_conjecture, % 58.57/58.66 ( ~ product(X,Y,Z1) % 58.57/58.66 | ~ product(Y,X,Z2) % 58.57/58.66 | product(Z1,Z2,X) ) ). % 58.57/58.66 % 58.57/58.66 %-------------------------------------------------------------------------- % 58.57/58.66 %------------------------------------------- % 58.57/58.66 % Proof found % 58.57/58.66 % SZS status Theorem for theBenchmark % 58.57/58.66 % SZS output start Proof % 58.57/58.67 %ClaNum:15(EqnAxiom:0) % 58.57/58.67 %VarNum:44(SingletonVarNum:19) % 58.57/58.67 %MaxLitNum:5 % 58.57/58.67 %MaxfuncDepth:0 % 58.57/58.67 %SharedTerms:12 % 58.57/58.67 %goalClause: 15 % 58.57/58.67 [1]P1(a1) % 58.57/58.67 [2]P1(a2) % 58.57/58.67 [3]P1(a3) % 58.57/58.67 [5]~P2(a1,a2) % 58.57/58.67 [6]~P2(a1,a3) % 58.57/58.67 [7]~P2(a2,a1) % 58.57/58.67 [8]~P2(a2,a3) % 58.57/58.67 [9]~P2(a3,a1) % 58.57/58.67 [10]~P2(a3,a2) % 58.57/58.67 [4]P3(x41,x41,x41) % 58.57/58.67 [12]~P3(x123,x124,x121)+P2(x121,x122)+~P3(x123,x124,x122) % 58.57/58.67 [13]~P3(x133,x131,x134)+P2(x131,x132)+~P3(x133,x132,x134) % 58.57/58.67 [14]~P3(x141,x143,x144)+P2(x141,x142)+~P3(x142,x143,x144) % 58.57/58.67 [15]~P3(x153,x154,x151)+P3(x151,x152,x153)+~P3(x154,x153,x152) % 58.57/58.67 [11]~P1(x112)+~P1(x111)+P3(x111,x112,a2)+P3(x111,x112,a3)+P3(x111,x112,a1) % 58.57/58.67 %EqnAxiom % 58.57/58.67 % 58.57/58.67 %------------------------------------------- % 58.78/58.82 cnf(262,plain, % 58.78/58.82 (~P3(x2621,a1,a3)+~P3(a1,x2621,a3)), % 58.78/58.82 inference(scs_inference,[],[6,4,12,15])). % 58.78/58.82 cnf(415,plain, % 58.78/58.82 (P3(a1,a2,a2)+P3(a1,a2,a1)+~P3(a2,a1,a3)), % 58.78/58.82 inference(scs_inference,[],[2,1,262,11])). % 58.78/58.82 cnf(227084,plain, % 58.78/58.82 (P3(x2270841,x2270841,x2270841)), % 58.78/58.82 inference(rename_variables,[],[4])). % 58.78/58.82 cnf(227086,plain, % 58.78/58.82 (~P3(a1,a2,a2)), % 58.78/58.82 inference(scs_inference,[],[5,4,227084,12,14])). % 58.78/58.82 cnf(227087,plain, % 58.78/58.82 (P3(x2270871,x2270871,x2270871)), % 58.78/58.82 inference(rename_variables,[],[4])). % 58.78/58.82 cnf(227089,plain, % 58.78/58.82 (~P3(a1,a2,a1)), % 58.78/58.82 inference(scs_inference,[],[5,4,227084,227087,12,14,13])). % 58.78/58.82 cnf(227096,plain, % 58.78/58.82 (~P3(a2,a1,a3)), % 58.78/58.82 inference(scs_inference,[],[227089,227086,415])). % 58.78/58.82 cnf(227100,plain, % 58.78/58.82 (P3(x2271001,x2271001,x2271001)), % 58.78/58.82 inference(rename_variables,[],[4])). % 58.78/58.82 cnf(227102,plain, % 58.78/58.82 (~P3(a2,a1,a1)), % 58.78/58.82 inference(scs_inference,[],[7,4,227100,12,14])). % 58.78/58.82 cnf(227103,plain, % 58.78/58.82 (P3(x2271031,x2271031,x2271031)), % 58.78/58.82 inference(rename_variables,[],[4])). % 58.78/58.82 cnf(227105,plain, % 58.78/58.82 (~P3(a2,a1,a2)), % 58.78/58.82 inference(scs_inference,[],[7,4,227100,227103,12,14,13])). % 58.78/58.82 cnf(227108,plain, % 58.78/58.82 (P3(a1,a2,a3)), % 58.78/58.82 inference(scs_inference,[],[1,227086,227089,7,2,4,227100,227103,12,14,13,11])). % 58.78/58.82 cnf(227111,plain, % 58.78/58.82 (P3(x2271111,x2271111,x2271111)), % 58.78/58.82 inference(rename_variables,[],[4])). % 58.78/58.82 cnf(227118,plain, % 58.78/58.82 ($false), % 58.78/58.82 inference(scs_inference,[],[1,227105,227096,227108,227102,8,6,2,4,227111,12,14,13,11]), % 58.78/58.82 ['proof']). % 58.89/58.96 % SZS output end Proof % 58.89/58.96 % Total time :58.000000s %------------------------------------------------------------------------------