%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : GRP034-4 : TPTP v8.2.0. Released v1.0.0. % 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 06:38:34 EDT 2024 % Result : Unsatisfiable 0.55s 0.63s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GRP034-4 : TPTP v8.2.0. Released v1.0.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 20 12:49:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.20/0.59 start to proof:theBenchmark % 0.55/0.62 %------------------------------------------- % 0.55/0.62 % File :CSE---1.7 % 0.55/0.62 % Problem :theBenchmark % 0.55/0.62 % Transform :cnf % 0.55/0.62 % Format :tptp:raw % 0.55/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.62 % 0.55/0.62 % Result :Theorem 0.000000s % 0.55/0.62 % Output :CNFRefutation 0.000000s % 0.55/0.62 %------------------------------------------- % 0.55/0.62 %-------------------------------------------------------------------------- % 0.55/0.62 % File : GRP034-4 : TPTP v8.2.0. Released v1.0.0. % 0.55/0.62 % Domain : Group Theory (Subgroups) % 0.55/0.62 % Problem : In subgroups, inverse is closed % 0.55/0.62 % Version : [LS74] axioms : Incomplete. % 0.55/0.62 % English : % 0.55/0.62 % 0.55/0.62 % Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol % 0.55/0.62 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S % 0.55/0.62 % Source : [SPRFN] % 0.55/0.62 % Names : ls26 [LS74] % 0.55/0.62 % : ls26 [WM76] % 0.55/0.62 % 0.55/0.62 % Status : Unsatisfiable % 0.55/0.62 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0 % 0.55/0.62 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR) % 0.55/0.62 % Number of literals : 18 ( 0 equ; 10 neg) % 0.55/0.62 % Maximal clause size : 4 ( 2 avg) % 0.55/0.62 % Maximal term depth : 2 ( 1 avg) % 0.55/0.62 % Number of predicates : 2 ( 2 usr; 0 prp; 1-3 aty) % 0.55/0.62 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty) % 0.55/0.62 % Number of variables : 20 ( 0 sgn) % 0.55/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.55/0.62 % 0.55/0.62 % Comments : % 0.55/0.63 %-------------------------------------------------------------------------- % 0.55/0.63 cnf(closure,axiom, % 0.55/0.63 product(X,Y,multiply(X,Y)) ). % 0.55/0.63 % 0.55/0.63 cnf(left_identity,axiom, % 0.55/0.63 product(identity,X,X) ). % 0.55/0.63 % 0.55/0.63 cnf(right_identity,axiom, % 0.55/0.63 product(X,identity,X) ). % 0.55/0.63 % 0.55/0.63 cnf(right_inverse,axiom, % 0.55/0.63 product(X,inverse(X),identity) ). % 0.55/0.63 % 0.55/0.63 cnf(associativity1,axiom, % 0.55/0.63 ( ~ product(X,Y,U) % 0.55/0.63 | ~ product(Y,Z,V) % 0.55/0.63 | ~ product(U,Z,W) % 0.55/0.63 | product(X,V,W) ) ). % 0.55/0.63 % 0.55/0.63 cnf(associativity2,axiom, % 0.55/0.63 ( ~ product(X,Y,U) % 0.55/0.63 | ~ product(Y,Z,V) % 0.55/0.63 | ~ product(X,V,W) % 0.55/0.63 | product(U,Z,W) ) ). % 0.55/0.63 % 0.55/0.63 cnf(closure_of_subgroup,axiom, % 0.55/0.63 ( ~ subgroup_member(A) % 0.55/0.63 | ~ subgroup_member(B) % 0.55/0.63 | ~ product(B,inverse(A),C) % 0.55/0.63 | subgroup_member(C) ) ). % 0.55/0.63 % 0.55/0.63 cnf(a_is_in_subgroup,hypothesis, % 0.55/0.63 subgroup_member(a) ). % 0.55/0.63 % 0.55/0.63 cnf(prove_inverse_is_in_subgroup,negated_conjecture, % 0.55/0.63 ~ subgroup_member(inverse(a)) ). % 0.55/0.63 % 0.55/0.63 %-------------------------------------------------------------------------- % 0.55/0.63 %------------------------------------------- % 0.55/0.63 % Proof found % 0.55/0.63 % SZS status Theorem for theBenchmark % 0.55/0.63 % SZS output start Proof % 0.55/0.63 %ClaNum:9(EqnAxiom:0) % 0.55/0.63 %VarNum:40(SingletonVarNum:20) % 0.55/0.63 %MaxLitNum:4 % 0.55/0.63 %MaxfuncDepth:1 % 0.55/0.63 %SharedTerms:5 % 0.55/0.63 %goalClause: 6 % 0.55/0.63 %singleGoalClaCount:1 % 0.55/0.63 [1]P1(a1) % 0.55/0.63 [6]~P1(f3(a1)) % 0.55/0.63 [2]P2(x21,a2,x21) % 0.55/0.63 [3]P2(a2,x31,x31) % 0.55/0.63 [4]P2(x41,f3(x41),a2) % 0.55/0.63 [5]P2(x51,x52,f4(x51,x52)) % 0.55/0.63 [7]P1(x71)+~P1(x72)+~P1(x73)+~P2(x72,f3(x73),x71) % 0.55/0.63 [8]~P2(x86,x84,x81)+P2(x81,x82,x83)+~P2(x84,x82,x85)+~P2(x86,x85,x83) % 0.55/0.63 [9]~P2(x91,x96,x94)+P2(x91,x92,x93)+~P2(x94,x95,x93)+~P2(x96,x95,x92) % 0.55/0.63 %EqnAxiom % 0.55/0.63 % 0.55/0.63 %------------------------------------------- % 0.55/0.63 cnf(10,plain, % 0.55/0.63 (~P1(a2)), % 0.55/0.63 inference(scs_inference,[],[6,1,3,7])). % 0.55/0.63 cnf(23,plain, % 0.55/0.63 (P1(f4(a1,f3(a1)))), % 0.55/0.63 inference(scs_inference,[],[1,5,7])). % 0.55/0.63 cnf(31,plain, % 0.55/0.63 ($false), % 0.55/0.63 inference(scs_inference,[],[23,10,4,7]), % 0.55/0.63 ['proof']). % 0.55/0.63 % SZS output end Proof % 0.55/0.63 % Total time :0.000000s %------------------------------------------------------------------------------