%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET850-2 : 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 : n017.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 14:22:44 EDT 2024 % Result : Unsatisfiable 0.56s 0.60s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET850-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n017.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Jun 23 16:46:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.000000s % 0.54/0.60 % Output :CNFRefutation 0.000000s % 0.54/0.60 %------------------------------------------- % 0.54/0.60 %------------------------------------------------------------------------------ % 0.54/0.60 % File : SET850-2 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.60 % Domain : Set Theory % 0.54/0.60 % Problem : Problem about Zorn's lemma % 0.54/0.60 % Version : [Pau06] axioms : Reduced > Especial. % 0.54/0.60 % English : % 0.54/0.60 % 0.54/0.60 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.54/0.60 % Source : [Pau06] % 0.54/0.60 % Names : % 0.54/0.60 % 0.54/0.60 % Status : Unsatisfiable % 0.54/0.60 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0 % 0.54/0.60 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 3 RR) % 0.54/0.60 % Number of literals : 6 ( 0 equ; 3 neg) % 0.54/0.60 % Maximal clause size : 3 ( 1 avg) % 0.54/0.60 % Maximal term depth : 3 ( 1 avg) % 0.54/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.54/0.60 % Number of functors : 6 ( 6 usr; 4 con; 0-3 aty) % 0.54/0.60 % Number of variables : 7 ( 1 sgn) % 0.54/0.60 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.54/0.60 % 0.54/0.60 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.54/0.60 % of which only a small selection are required for the refutation. % 0.54/0.60 % The mission is to find those few axioms, after which a refutation % 0.54/0.60 % can be quite easily found. This version has only the necessary % 0.54/0.60 % axioms. % 0.54/0.60 %------------------------------------------------------------------------------ % 0.54/0.60 cnf(cls_Set_Osubset__trans_0,axiom, % 0.54/0.60 ( ~ c_lessequals(V_B,V_C,tc_set(T_a)) % 0.54/0.60 | ~ c_lessequals(V_A,V_B,tc_set(T_a)) % 0.56/0.60 | c_lessequals(V_A,V_C,tc_set(T_a)) ) ). % 0.56/0.60 % 0.56/0.60 cnf(cls_Zorn_OAbrial__axiom1_0,axiom, % 0.56/0.60 c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ). % 0.56/0.60 % 0.56/0.60 cnf(cls_conjecture_0,negated_conjecture, % 0.56/0.60 c_lessequals(v_x,v_y,tc_set(tc_set(t_a))) ). % 0.56/0.60 % 0.56/0.60 cnf(cls_conjecture_1,negated_conjecture, % 0.56/0.60 ~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))) ). % 0.56/0.60 % 0.56/0.60 %------------------------------------------------------------------------------ % 0.56/0.60 %------------------------------------------- % 0.56/0.60 % Proof found % 0.56/0.60 % SZS status Theorem for theBenchmark % 0.56/0.60 % SZS output start Proof % 0.56/0.61 %ClaNum:4(EqnAxiom:0) % 0.56/0.61 %VarNum:14(SingletonVarNum:7) % 0.56/0.61 %MaxLitNum:3 % 0.56/0.61 %MaxfuncDepth:2 % 0.56/0.61 %SharedTerms:9 % 0.56/0.61 %goalClause: 1 3 % 0.56/0.61 %singleGoalClaCount:2 % 0.56/0.61 [1]P1(a1,a6,f4(f4(a2))) % 0.56/0.61 [3]~P1(a1,f3(a5,a6,a2),f4(f4(a2))) % 0.56/0.61 [2]P1(x21,f3(x22,x21,x23),f4(f4(x23))) % 0.56/0.61 [4]P1(x41,x42,f4(x43))+~P1(x44,x42,f4(x43))+~P1(x41,x44,f4(x43)) % 0.56/0.61 %EqnAxiom % 0.56/0.61 % 0.56/0.61 %------------------------------------------- % 0.56/0.61 cnf(5,plain, % 0.56/0.61 ($false), % 0.56/0.61 inference(scs_inference,[],[3,2,1,4]), % 0.56/0.61 ['proof']). % 0.56/0.61 % SZS output end Proof % 0.56/0.61 % Total time :0.000000s %------------------------------------------------------------------------------