%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP135-1.002 : 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 : 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 06:38:59 EDT 2024 % Result : Unsatisfiable 58.45s 58.94s % Output : CNFRefutation 58.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : GRP135-1.002 : TPTP v8.2.0. Released v1.2.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.09/0.28 % Computer : n032.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 300 % 0.09/0.28 % DateTime : Thu Jun 20 10:01:38 EDT 2024 % 0.09/0.28 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 58.44/58.92 %------------------------------------------- % 58.44/58.92 % File :CSE---1.7 % 58.44/58.92 % Problem :theBenchmark % 58.44/58.92 % Transform :cnf % 58.44/58.92 % Format :tptp:raw % 58.44/58.92 % Command :java -jar mcs_scs.jar %d %s % 58.44/58.92 % 58.44/58.92 % Result :Theorem 58.010000s % 58.44/58.93 % Output :CNFRefutation 58.010000s % 58.44/58.93 %------------------------------------------- % 58.45/58.94 %-------------------------------------------------------------------------- % 58.45/58.94 % File : GRP135-1.002 : TPTP v8.2.0. Released v1.2.0. % 58.45/58.94 % Domain : Group Theory (Quasigroups) % 58.45/58.94 % Problem : ((b.a).b).b) = a, no idempotence % 58.45/58.94 % Version : [Sla93] axioms. % 58.45/58.94 % English : Generate the multiplication table for the specified quasi- % 58.45/58.94 % group with 2 elements. % 58.45/58.94 % 58.45/58.94 % Refs : [Ben89] Bennett (1989), Quasigroup Identities and Mendelsohn D % 58.45/58.94 % : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res % 58.45/58.94 % : [Sla93] Slaney (1993), Email to G. Sutcliffe % 58.45/58.94 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti % 58.45/58.94 % Source : [Sla93] % 58.45/58.94 % Names : QG5-ni [Sla93] % 58.45/58.94 % 58.45/58.94 % Status : Unsatisfiable % 58.45/58.94 % Rating : 0.00 v2.1.0 % 58.45/58.94 % Syntax : Number of clauses : 9 ( 4 unt; 1 nHn; 9 RR) % 58.45/58.94 % Number of literals : 20 ( 0 equ; 12 neg) % 58.45/58.94 % Maximal clause size : 4 ( 2 avg) % 58.45/58.94 % Maximal term depth : 1 ( 1 avg) % 58.45/58.94 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty) % 58.45/58.94 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 58.45/58.94 % Number of variables : 18 ( 0 sgn) % 58.45/58.94 % SPC : CNF_UNS_EPR_NEQ_NHN % 58.45/58.94 % 58.45/58.94 % Comments : Slaney's [1993] axiomatization has been modified for this. % 58.45/58.94 % : Substitution axioms are not needed, as any positive equality % 58.45/58.94 % literals should resolve on negative ones directly. % 58.45/58.94 % : This problem is extensively investigated in [Ben89]. % 58.45/58.94 % : tptp2X: -f tptp -s2 GRP135-1.g % 58.45/58.94 %-------------------------------------------------------------------------- % 58.45/58.94 cnf(element_1,axiom, % 58.45/58.94 group_element(e_1) ). % 58.45/58.94 % 58.45/58.94 cnf(element_2,axiom, % 58.45/58.94 group_element(e_2) ). % 58.45/58.94 % 58.45/58.94 cnf(e_1_is_not_e_2,axiom, % 58.45/58.94 ~ equalish(e_1,e_2) ). % 58.45/58.94 % 58.45/58.94 cnf(e_2_is_not_e_1,axiom, % 58.45/58.94 ~ equalish(e_2,e_1) ). % 58.45/58.94 % 58.45/58.94 cnf(product_total_function1,axiom, % 58.45/58.94 ( ~ group_element(X) % 58.45/58.94 | ~ group_element(Y) % 58.45/58.94 | product(X,Y,e_1) % 58.45/58.94 | product(X,Y,e_2) ) ). % 58.45/58.94 % 58.45/58.94 cnf(product_total_function2,axiom, % 58.45/58.94 ( ~ product(X,Y,W) % 58.45/58.94 | ~ product(X,Y,Z) % 58.45/58.94 | equalish(W,Z) ) ). % 58.45/58.94 % 58.45/58.94 cnf(product_right_cancellation,axiom, % 58.45/58.94 ( ~ product(X,W,Y) % 58.45/58.94 | ~ product(X,Z,Y) % 58.45/58.94 | equalish(W,Z) ) ). % 58.45/58.94 % 58.45/58.94 cnf(product_left_cancellation,axiom, % 58.45/58.94 ( ~ product(W,Y,X) % 58.45/58.94 | ~ product(Z,Y,X) % 58.45/58.94 | equalish(W,Z) ) ). % 58.45/58.94 % 58.45/58.94 cnf(qg3,negated_conjecture, % 58.45/58.94 ( ~ product(Y,X,Z1) % 58.45/58.94 | ~ product(Z1,Y,Z2) % 58.45/58.94 | product(Z2,Y,X) ) ). % 58.45/58.94 % 58.45/58.94 %-------------------------------------------------------------------------- % 58.45/58.94 %------------------------------------------- % 58.45/58.94 % Proof found % 58.45/58.94 % SZS status Theorem for theBenchmark % 58.45/58.94 % SZS output start Proof % 58.45/58.94 %ClaNum:9(EqnAxiom:0) % 58.45/58.94 %VarNum:39(SingletonVarNum:18) % 58.45/58.94 %MaxLitNum:4 % 58.45/58.94 %MaxfuncDepth:0 % 58.45/58.94 %SharedTerms:6 % 58.45/58.94 %goalClause: 9 % 58.45/58.94 [1]P1(a1) % 58.45/58.94 [2]P1(a2) % 58.45/58.94 [3]~P2(a1,a2) % 58.45/58.94 [4]~P2(a2,a1) % 58.45/58.94 [6]~P3(x63,x64,x61)+P2(x61,x62)+~P3(x63,x64,x62) % 58.45/58.94 [7]~P3(x73,x71,x74)+P2(x71,x72)+~P3(x73,x72,x74) % 58.45/58.94 [8]~P3(x81,x83,x84)+P2(x81,x82)+~P3(x82,x83,x84) % 58.45/58.94 [9]~P3(x92,x93,x94)+P3(x91,x92,x93)+~P3(x94,x92,x91) % 58.45/58.94 [5]~P1(x52)+~P1(x51)+P3(x51,x52,a2)+P3(x51,x52,a1) % 58.45/58.94 %EqnAxiom % 58.45/58.94 % 58.45/58.94 %------------------------------------------- % 58.45/58.98 cnf(11,plain, % 58.45/58.98 (~P3(a1,a2,a2)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[4,1,7,5])). % 58.45/58.98 cnf(12,plain, % 58.45/58.98 (P3(a1,a2,a1)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[2,1,11,5])). % 58.45/58.98 cnf(15,plain, % 58.45/58.98 (~P3(a2,x151,a1)+P3(a1,a2,x151)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[9,12])). % 58.45/58.98 cnf(16,plain, % 58.45/58.98 (~P3(a2,a2,a1)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[15,11])). % 58.45/58.98 cnf(17,plain, % 58.45/58.98 (P3(a2,a2,a2)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[2,16,5])). % 58.45/58.98 cnf(60828,plain, % 58.45/58.98 (~P3(a2,a1,a1)+~P3(a1,a1,a2)), % 58.45/58.98 inference(scs_inference,[],[1,3,4,6,5,11,17,7,9])). % 58.45/58.98 cnf(60833,plain, % 58.45/58.98 (~P3(x608331,a2,x608332)+~P3(x608331,a1,x608332)), % 58.45/58.98 inference(scs_inference,[],[3,7])). % 58.45/58.98 cnf(60839,plain, % 58.45/58.98 (~P3(a1,x608391,x608392)+~P3(a2,x608391,x608392)), % 58.45/58.98 inference(scs_inference,[],[4,8])). % 58.45/58.98 cnf(60841,plain, % 58.45/58.98 (~P3(a1,a1,a2)+P3(a2,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[1,4,2,8,5])). % 58.45/58.98 cnf(60844,plain, % 58.45/58.98 (P3(a1,a1,a2)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[1,5])). % 58.45/58.98 cnf(60848,plain, % 58.45/58.98 (~P3(a1,a1,a1)+P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[1,4,3,5,8,6])). % 58.45/58.98 cnf(60860,plain, % 58.45/58.98 (~P3(a1,a1,a2)), % 58.45/58.98 inference(scs_inference,[],[60828,60841])). % 58.45/58.98 cnf(60861,plain, % 58.45/58.98 (P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[60860,60844])). % 58.45/58.98 cnf(60866,plain, % 58.45/58.98 (P3(a1,a1,a1)), % 58.45/58.98 inference(scs_inference,[],[60861,60848])). % 58.45/58.98 cnf(60867,plain, % 58.45/58.98 (~P3(a1,a2,a1)), % 58.45/58.98 inference(scs_inference,[],[60861,60833,9])). % 58.45/58.98 cnf(60870,plain, % 58.45/58.98 (P3(a2,a1,a2)), % 58.45/58.98 inference(scs_inference,[],[60866,1,2,60839,5])). % 58.45/58.98 cnf(60877,plain, % 58.45/58.98 ($false), % 58.45/58.98 inference(scs_inference,[],[60870,60867,2,60833,9,5]), % 58.45/58.98 ['proof']). % 58.45/59.02 % SZS output end Proof % 58.45/59.02 % Total time :58.010000s %------------------------------------------------------------------------------