%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP135-2.002 : TPTP v8.2.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n025.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 06:38:59 EDT 2024 % Result : Unsatisfiable 59.77s 60.60s % Output : CNFRefutation 59.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GRP135-2.002 : TPTP v8.2.0. Released v1.2.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Jun 20 13:13:39 EDT 2024 % 0.14/0.36 % CPUTime : % 0.22/0.60 start to proof:theBenchmark % 59.77/60.58 %------------------------------------------- % 59.77/60.58 % File :CSE---1.7 % 59.77/60.58 % Problem :theBenchmark % 59.77/60.58 % Transform :cnf % 59.77/60.58 % Format :tptp:raw % 59.77/60.58 % Command :java -jar mcs_scs.jar %d %s % 59.77/60.58 % 59.77/60.58 % Result :Theorem 59.160000s % 59.77/60.58 % Output :CNFRefutation 59.160000s % 59.77/60.58 %------------------------------------------- % 59.77/60.59 %-------------------------------------------------------------------------- % 59.77/60.59 % File : GRP135-2.002 : TPTP v8.2.0. Released v1.2.0. % 59.77/60.59 % Domain : Group Theory (Quasigroups) % 59.77/60.59 % Problem : ((b.a).b).b) = a, no idempotence % 59.77/60.59 % Version : [Sla93] axioms : Augmented. % 59.77/60.59 % English : Generate the multiplication table for the specified quasi- % 59.77/60.59 % group with 2 elements. % 59.77/60.59 % 59.77/60.59 % Refs : [Ben89] Bennett (1989), Quasigroup Identities and Mendelsohn D % 59.77/60.59 % : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 59.77/60.59 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 59.77/60.59 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 59.77/60.59 % Source : [TPTP] % 59.77/60.59 % Names : % 59.77/60.59 % 59.77/60.59 % Status : Unsatisfiable % 59.77/60.59 % Rating : 0.00 v2.1.0 % 59.77/60.59 % Syntax : Number of clauses : 12 ( 6 unt; 1 nHn; 12 RR) % 59.77/60.59 % Number of literals : 25 ( 0 equ; 15 neg) % 59.77/60.59 % Maximal clause size : 4 ( 2 avg) % 59.77/60.59 % Maximal term depth : 1 ( 1 avg) % 59.77/60.59 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty) % 59.77/60.59 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 59.77/60.59 % Number of variables : 21 ( 0 sgn) % 59.77/60.59 % SPC : CNF_UNS_EPR_NEQ_NHN % 59.77/60.59 % 59.77/60.59 % Comments : Slaney's [1993] axiomatization has been modified for this. % 59.77/60.59 % : Substitution axioms are not needed, as any positive equality % 59.77/60.59 % literals should resolve on negative ones directly. % 59.77/60.59 % : This problem is extensively investigated in [Ben89]. % 59.77/60.59 % : This version adds a simple isomorphism avoidance clause, % 59.77/60.59 % mentioned in [FSB93]. % 59.77/60.59 % : tptp2X: -f tptp -s2 GRP135-2.g % 59.77/60.59 %-------------------------------------------------------------------------- % 59.77/60.59 cnf(e_1_then_e_2,axiom, % 59.77/60.59 next(e_1,e_2) ). % 59.77/60.59 % 59.77/60.59 cnf(e_2_greater_e_1,axiom, % 59.77/60.59 greater(e_2,e_1) ). % 59.77/60.59 % 59.77/60.59 cnf(no_redundancy,axiom, % 59.77/60.59 ( ~ product(X,e_1,Y) % 59.77/60.59 | ~ next(X,X1) % 59.77/60.59 | ~ greater(Y,X1) ) ). % 59.77/60.59 % 59.77/60.59 cnf(element_1,axiom, % 59.77/60.59 group_element(e_1) ). % 59.77/60.59 % 59.77/60.59 cnf(element_2,axiom, % 59.77/60.59 group_element(e_2) ). % 59.77/60.59 % 59.77/60.59 cnf(e_1_is_not_e_2,axiom, % 59.77/60.59 ~ equalish(e_1,e_2) ). % 59.77/60.59 % 59.77/60.59 cnf(e_2_is_not_e_1,axiom, % 59.77/60.59 ~ equalish(e_2,e_1) ). % 59.77/60.59 % 59.77/60.59 cnf(product_total_function1,axiom, % 59.77/60.59 ( ~ group_element(X) % 59.77/60.59 | ~ group_element(Y) % 59.77/60.60 | product(X,Y,e_1) % 59.77/60.60 | product(X,Y,e_2) ) ). % 59.77/60.60 % 59.77/60.60 cnf(product_total_function2,axiom, % 59.77/60.60 ( ~ product(X,Y,W) % 59.77/60.60 | ~ product(X,Y,Z) % 59.77/60.60 | equalish(W,Z) ) ). % 59.77/60.60 % 59.77/60.60 cnf(product_right_cancellation,axiom, % 59.77/60.60 ( ~ product(X,W,Y) % 59.77/60.60 | ~ product(X,Z,Y) % 59.77/60.60 | equalish(W,Z) ) ). % 59.77/60.60 % 59.77/60.60 cnf(product_left_cancellation,axiom, % 59.77/60.60 ( ~ product(W,Y,X) % 59.77/60.60 | ~ product(Z,Y,X) % 59.77/60.60 | equalish(W,Z) ) ). % 59.77/60.60 % 59.77/60.60 cnf(qg3,negated_conjecture, % 59.77/60.60 ( ~ product(Y,X,Z1) % 59.77/60.60 | ~ product(Z1,Y,Z2) % 59.77/60.60 | product(Z2,Y,X) ) ). % 59.77/60.60 % 59.77/60.60 %-------------------------------------------------------------------------- % 59.77/60.60 %------------------------------------------- % 59.77/60.60 % Proof found % 59.77/60.60 % SZS status Theorem for theBenchmark % 59.77/60.60 % SZS output start Proof % 59.80/60.60 %ClaNum:12(EqnAxiom:0) % 59.80/60.60 %VarNum:45(SingletonVarNum:21) % 59.80/60.60 %MaxLitNum:4 % 59.80/60.60 %MaxfuncDepth:0 % 59.80/60.60 %SharedTerms:8 % 59.80/60.60 %goalClause: 12 % 59.80/60.60 [1]P1(a1) % 59.80/60.60 [2]P1(a2) % 59.80/60.60 [3]P4(a1,a2) % 59.80/60.60 [4]P2(a2,a1) % 59.80/60.60 [5]~P3(a1,a2) % 59.80/60.60 [6]~P3(a2,a1) % 59.80/60.60 [8]~P4(x81,x82)+~P2(x83,x82)+~P5(x81,a1,x83) % 59.80/60.60 [9]~P5(x93,x94,x91)+P3(x91,x92)+~P5(x93,x94,x92) % 59.80/60.60 [10]~P5(x103,x101,x104)+P3(x101,x102)+~P5(x103,x102,x104) % 59.80/60.60 [11]~P5(x111,x113,x114)+P3(x111,x112)+~P5(x112,x113,x114) % 59.80/60.60 [12]~P5(x122,x123,x124)+P5(x121,x122,x123)+~P5(x124,x122,x121) % 59.80/60.60 [7]~P1(x72)+~P1(x71)+P5(x71,x72,a2)+P5(x71,x72,a1) % 59.80/60.60 %EqnAxiom % 59.80/60.60 % 59.80/60.60 %------------------------------------------- % 59.83/60.65 cnf(15,plain, % 59.83/60.65 (~P5(a1,a1,a2)+P5(a1,a2,a1)), % 59.83/60.65 inference(scs_inference,[],[5,2,1,10,7])). % 59.83/60.65 cnf(16,plain, % 59.83/60.65 (P5(a1,a1,a1)+P5(a1,a2,a1)), % 59.83/60.65 inference(scs_inference,[],[1,15,7])). % 59.83/60.65 cnf(74689,plain, % 59.83/60.65 (P5(a2,a2,a2)+P5(a2,a2,a1)), % 59.83/60.65 inference(scs_inference,[],[2,4,8,7])). % 59.83/60.65 cnf(74694,plain, % 59.83/60.65 (~P5(x746941,x746942,a1)+~P5(x746941,x746942,a2)), % 59.83/60.65 inference(scs_inference,[],[3,6,8,9])). % 59.83/60.65 cnf(74699,plain, % 59.83/60.65 (~P5(x746991,a2,x746992)+~P5(x746991,a1,x746992)), % 59.83/60.65 inference(scs_inference,[],[4,5,8,10])). % 59.83/60.65 cnf(74703,plain, % 59.83/60.65 (~P5(a1,x747031,x747032)+~P5(a2,x747031,x747032)), % 59.83/60.65 inference(scs_inference,[],[3,6,8,11])). % 59.83/60.65 cnf(74711,plain, % 59.83/60.65 (P5(a1,a1,a2)+P5(a1,a1,a1)), % 59.83/60.65 inference(scs_inference,[],[3,1,8,7])). % 59.83/60.65 cnf(76917,plain, % 59.83/60.65 (P5(a1,a1,a1)+~P5(a1,a1,a1)), % 59.83/60.65 inference(scs_inference,[],[16,74699])). % 59.83/60.65 cnf(76923,plain, % 59.83/60.65 (P5(a1,a2,a1)+~P5(a2,a1,a1)), % 59.83/60.65 inference(scs_inference,[],[16,74703])). % 59.83/60.65 cnf(76928,plain, % 59.83/60.65 (P5(a1,a2,a1)+P5(a2,a1,a2)), % 59.83/60.65 inference(scs_inference,[],[1,2,76923,7])). % 59.83/60.65 cnf(76933,plain, % 59.83/60.65 (P5(a1,a2,a1)+~P5(a2,a2,a2)), % 59.83/60.65 inference(scs_inference,[],[76928,74699])). % 59.83/60.65 cnf(76938,plain, % 59.83/60.65 (P5(a2,a2,a1)+P5(a1,a2,a1)), % 59.83/60.65 inference(scs_inference,[],[76933,74689])). % 59.83/60.65 cnf(76962,plain, % 59.83/60.65 (P5(a1,a1,a1)+~P5(a1,a1,x769621)+P5(x769621,a1,a2)), % 59.83/60.65 inference(scs_inference,[],[16,12])). % 59.83/60.65 cnf(76963,plain, % 59.83/60.65 (~P5(a1,a1,a2)+P5(x769631,a1,a2)+~P5(a1,a1,x769631)), % 59.83/60.65 inference(scs_inference,[],[76962,74694])). % 59.83/60.65 cnf(76973,plain, % 59.83/60.65 (P5(a1,a1,a1)+P5(a2,a1,a2)), % 59.83/60.65 inference(scs_inference,[],[76963,74711])). % 59.83/60.65 cnf(76978,plain, % 59.83/60.65 (P5(a2,a1,a2)+~P5(a1,a2,a1)), % 59.83/60.65 inference(scs_inference,[],[76973,74699])). % 59.83/60.65 cnf(76979,plain, % 59.83/60.65 (~P5(a1,a1,a2)+P5(a2,a1,a2)), % 59.83/60.65 inference(scs_inference,[],[76978,15])). % 59.83/60.65 cnf(76984,plain, % 59.83/60.65 (~P5(a1,a1,a2)), % 59.83/60.65 inference(scs_inference,[],[76979,74703])). % 59.83/60.65 cnf(76985,plain, % 59.83/60.65 (P5(a1,a1,a1)), % 59.83/60.65 inference(scs_inference,[],[76984,74711])). % 59.83/60.65 cnf(76990,plain, % 59.83/60.65 (P5(a1,a1,a1)), % 59.83/60.65 inference(scs_inference,[],[76985,76917])). % 59.83/60.65 cnf(76999,plain, % 59.83/60.65 ($false), % 59.83/60.65 inference(scs_inference,[],[76990,6,74699,76928,76938,9,12]), % 59.83/60.65 ['proof']). % 59.83/60.70 % SZS output end Proof % 59.83/60.70 % Total time :59.160000s %------------------------------------------------------------------------------