%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET826-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n027.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 14:22:35 EDT 2024 % Result : Unsatisfiable 0.55s 0.70s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SET826-2 : TPTP v8.2.0. Released v3.2.0. % 0.06/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Jun 23 14:08:38 EDT 2024 % 0.11/0.32 % CPUTime : % 0.48/0.57 start to proof:theBenchmark % 0.55/0.69 %------------------------------------------- % 0.55/0.69 % File :CSE---1.7 % 0.55/0.69 % Problem :theBenchmark % 0.55/0.69 % Transform :cnf % 0.55/0.69 % Format :tptp:raw % 0.55/0.69 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.69 % 0.55/0.69 % Result :Theorem 0.000000s % 0.55/0.69 % Output :CNFRefutation 0.000000s % 0.55/0.69 %------------------------------------------- % 0.55/0.70 %------------------------------------------------------------------------------ % 0.55/0.70 % File : SET826-2 : TPTP v8.2.0. Released v3.2.0. % 0.55/0.70 % Domain : Set Theory % 0.55/0.70 % Problem : Problem about set theory % 0.55/0.70 % Version : [Pau06] axioms : Reduced > Especial. % 0.55/0.70 % English : % 0.55/0.70 % 0.55/0.70 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.55/0.70 % Source : [Pau06] % 0.55/0.70 % Names : % 0.55/0.70 % 0.55/0.70 % Status : Unsatisfiable % 0.55/0.70 % Rating : 0.00 v3.2.0 % 0.55/0.70 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR) % 0.55/0.70 % Number of literals : 6 ( 0 equ; 3 neg) % 0.55/0.70 % Maximal clause size : 3 ( 1 avg) % 0.55/0.70 % Maximal term depth : 2 ( 1 avg) % 0.55/0.70 % Number of predicates : 2 ( 2 usr; 0 prp; 3-3 aty) % 0.55/0.70 % Number of functors : 5 ( 5 usr; 4 con; 0-1 aty) % 0.55/0.70 % Number of variables : 4 ( 0 sgn) % 0.55/0.70 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.55/0.70 % 0.55/0.70 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.55/0.70 % of which only a small selection are required for the refutation. % 0.55/0.70 % The mission is to find those few axioms, after which a refutation % 0.55/0.70 % can be quite easily found. This version has only the necessary % 0.55/0.70 % axioms. % 0.55/0.70 %------------------------------------------------------------------------------ % 0.55/0.70 cnf(cls_Set_OsubsetD_0,axiom, % 0.55/0.70 ( ~ c_in(V_c,V_A,T_a) % 0.55/0.70 | ~ c_lessequals(V_A,V_B,tc_set(T_a)) % 0.55/0.70 | c_in(V_c,V_B,T_a) ) ). % 0.55/0.70 % 0.55/0.70 cnf(cls_conjecture_0,negated_conjecture, % 0.55/0.70 c_in(v_x,v_V,t_a) ). % 0.55/0.70 % 0.55/0.70 cnf(cls_conjecture_1,negated_conjecture, % 0.55/0.70 c_lessequals(v_V,v_Y,tc_set(t_a)) ). % 0.55/0.70 % 0.55/0.70 cnf(cls_conjecture_3,negated_conjecture, % 0.55/0.70 ~ c_in(v_x,v_Y,t_a) ). % 0.55/0.70 % 0.55/0.70 %------------------------------------------------------------------------------ % 0.55/0.70 %------------------------------------------- % 0.55/0.70 % Proof found % 0.55/0.70 % SZS status Theorem for theBenchmark % 0.55/0.70 % SZS output start Proof % 0.55/0.70 %ClaNum:4(EqnAxiom:0) % 0.55/0.70 %VarNum:9(SingletonVarNum:4) % 0.55/0.70 %MaxLitNum:3 % 0.55/0.70 %MaxfuncDepth:1 % 0.55/0.70 %SharedTerms:8 % 0.55/0.70 %goalClause: 1 2 3 % 0.55/0.70 %singleGoalClaCount:3 % 0.55/0.70 [1]P1(a1,a2,a3) % 0.55/0.70 [3]~P1(a1,a5,a3) % 0.55/0.70 [2]P2(a2,a5,f4(a3)) % 0.55/0.70 [4]P1(x41,x42,x43)+~P1(x41,x44,x43)+~P2(x44,x42,f4(x43)) % 0.55/0.70 %EqnAxiom % 0.55/0.70 % 0.55/0.70 %------------------------------------------- % 0.55/0.70 cnf(5,plain, % 0.55/0.70 ($false), % 0.55/0.70 inference(scs_inference,[],[3,1,2,4]), % 0.55/0.70 ['proof']). % 0.55/0.70 % SZS output end Proof % 0.55/0.70 % Total time :0.000000s %------------------------------------------------------------------------------