%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA042-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 04:14:01 EDT 2024 % Result : Unsatisfiable 0.52s 0.62s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ANA042-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n029.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Sun Jun 23 04:37:24 EDT 2024 % 0.13/0.33 % CPUTime : % 0.52/0.59 start to proof:theBenchmark % 0.52/0.62 %------------------------------------------- % 0.52/0.62 % File :CSE---1.7 % 0.52/0.62 % Problem :theBenchmark % 0.52/0.62 % Transform :cnf % 0.52/0.62 % Format :tptp:raw % 0.52/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.62 % 0.52/0.62 % Result :Theorem 0.000000s % 0.52/0.62 % Output :CNFRefutation 0.000000s % 0.52/0.62 %------------------------------------------- % 0.52/0.62 %------------------------------------------------------------------------------ % 0.52/0.62 % File : ANA042-2 : TPTP v8.2.0. Released v3.2.0. % 0.52/0.62 % Domain : Analysis % 0.52/0.62 % Problem : Problem about Big-O notation % 0.52/0.62 % Version : [Pau06] axioms : Reduced > Especial. % 0.52/0.62 % English : % 0.52/0.62 % 0.52/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.52/0.62 % Source : [Pau06] % 0.52/0.62 % Names : % 0.52/0.62 % 0.52/0.62 % Status : Unsatisfiable % 0.52/0.62 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.05 v5.2.0, 0.00 v3.2.0 % 0.52/0.62 % Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR) % 0.52/0.62 % Number of literals : 2 ( 0 equ; 1 neg) % 0.52/0.62 % Maximal clause size : 1 ( 1 avg) % 0.52/0.62 % Maximal term depth : 4 ( 2 avg) % 0.52/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.52/0.62 % Number of functors : 8 ( 8 usr; 2 con; 0-3 aty) % 0.52/0.62 % Number of variables : 3 ( 0 sgn) % 0.52/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.52/0.62 % 0.52/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.52/0.62 % of which only a small selection are required for the refutation. % 0.52/0.62 % The mission is to find those few axioms, after which a refutation % 0.52/0.62 % can be quite easily found. This version has only the necessary % 0.52/0.62 % axioms. % 0.52/0.62 %------------------------------------------------------------------------------ % 0.52/0.62 cnf(cls_conjecture_1,negated_conjecture, % 0.52/0.62 c_lessequals(c_HOL_Oabs(v_f(V_U,V_V),t_c),c_times(v_x,v_h(V_U,V_V),t_c),t_c) ). % 0.52/0.62 % 0.52/0.62 cnf(cls_conjecture_3,negated_conjecture, % 0.52/0.62 ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(V_U),v_xb(V_U)),t_c),c_times(V_U,v_h(v_xa(V_U),v_xb(V_U)),t_c),t_c) ). % 0.52/0.62 % 0.52/0.62 %------------------------------------------------------------------------------ % 0.52/0.62 %------------------------------------------- % 0.52/0.62 % Proof found % 0.52/0.62 % SZS status Theorem for theBenchmark % 0.52/0.62 % SZS output start Proof % 0.52/0.62 %ClaNum:2(EqnAxiom:0) % 0.52/0.62 %VarNum:9(SingletonVarNum:3) % 0.52/0.62 %MaxLitNum:1 % 0.52/0.62 %MaxfuncDepth:3 % 0.52/0.62 %SharedTerms:2 % 0.52/0.62 %goalClause: 1 2 % 0.52/0.62 %singleGoalClaCount:2 % 0.52/0.62 [2]~P1(f3(f1(f7(x21),f8(x21)),a2),f4(x21,f6(f7(x21),f8(x21)),a2),a2) % 0.52/0.62 [1]P1(f3(f1(x11,x12),a2),f4(a5,f6(x11,x12),a2),a2) % 0.52/0.62 %EqnAxiom % 0.52/0.62 % 0.52/0.62 %------------------------------------------- % 0.52/0.63 cnf(3,plain, % 0.52/0.63 ($false), % 0.52/0.63 inference(scs_inference,[],[1,2]), % 0.52/0.63 ['proof']). % 0.52/0.63 % SZS output end Proof % 0.52/0.63 % Total time :0.000000s %------------------------------------------------------------------------------