%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN004-1.007 : 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 : 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 19:04:12 EDT 2024 % Result : Unsatisfiable 0.52s 0.60s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN004-1.007 : TPTP v8.2.0. Released v1.0.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 22:30:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.52/0.59 %------------------------------------------- % 0.52/0.59 % File :CSE---1.7 % 0.52/0.59 % Problem :theBenchmark % 0.52/0.59 % Transform :cnf % 0.52/0.59 % Format :tptp:raw % 0.52/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.59 % 0.52/0.59 % Result :Theorem 0.000000s % 0.52/0.59 % Output :CNFRefutation 0.000000s % 0.52/0.59 %------------------------------------------- % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 % File : SYN004-1.007 : TPTP v8.2.0. Released v1.0.0. % 0.52/0.60 % Domain : Syntactic % 0.52/0.60 % Problem : Implications that form a contradiction % 0.52/0.60 % Version : Biased. % 0.52/0.60 % English : P1 & Q1 -> P2 P1 & Q1 -> Q2 : % 0.52/0.60 % P2 & Q2 -> P3 P2 & Q2 -> Q3 : % 0.52/0.60 % ...... ...... : % 0.52/0.60 % Pk-1 & Qk-1 ->Pk Pk-1 & Qk-1 -> Qk : % 0.52/0.60 % P1 Q1 ~Pk v ~Qk : % 0.52/0.60 % : The size is k, in the above. % 0.52/0.60 % 0.52/0.60 % Refs : [Pla82] Plaisted (1982), A Simplified Problem Reduction Format % 0.52/0.60 % Source : [Pla82] % 0.52/0.60 % Names : Problem 5.3 [Pla82] % 0.52/0.60 % 0.52/0.60 % Status : Unsatisfiable % 0.52/0.60 % Rating : 0.00 v2.1.0 % 0.52/0.60 % Syntax : Number of clauses : 15 ( 2 unt; 0 nHn; 15 RR) % 0.52/0.60 % Number of literals : 40 ( 0 equ; 26 neg) % 0.52/0.60 % Maximal clause size : 3 ( 2 avg) % 0.52/0.60 % Maximal term depth : 0 ( 0 avg) % 0.52/0.60 % Number of predicates : 14 ( 14 usr; 14 prp; 0-0 aty) % 0.52/0.60 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.52/0.60 % Number of variables : 0 ( 0 sgn) % 0.52/0.60 % SPC : CNF_UNS_PRP % 0.52/0.60 % 0.52/0.60 % Comments : "This set of clauses can cause the following strategies to % 0.52/0.60 % generate minimal length proofs having length exponential in k: % 0.52/0.60 % SL-resolution, locking resolution with a bad choice of indices. % 0.52/0.60 % However, all of the following strategies can always generate % 0.52/0.60 % proofs polynomial in the size of S if S is an inconsistent set % 0.52/0.60 % of propositional Horn clauses: all-negative resolution, % 0.52/0.60 % set-of-support strategy, ancestry-filter form, and input % 0.52/0.60 % resolution." [Pla82] p.244. % 0.52/0.60 % : tptp2X: -f tptp -s7 SYN004-1.g % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 cnf(pqp_1,negated_conjecture, % 0.52/0.60 ( ~ p_1 % 0.52/0.60 | ~ q_1 % 0.52/0.60 | p_2 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqp_2,negated_conjecture, % 0.52/0.60 ( ~ p_2 % 0.52/0.60 | ~ q_2 % 0.52/0.60 | p_3 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqp_3,negated_conjecture, % 0.52/0.60 ( ~ p_3 % 0.52/0.60 | ~ q_3 % 0.52/0.60 | p_4 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqp_4,negated_conjecture, % 0.52/0.60 ( ~ p_4 % 0.52/0.60 | ~ q_4 % 0.52/0.60 | p_5 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqp_5,negated_conjecture, % 0.52/0.60 ( ~ p_5 % 0.52/0.60 | ~ q_5 % 0.52/0.60 | p_6 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqp_6,negated_conjecture, % 0.52/0.60 ( ~ p_6 % 0.52/0.60 | ~ q_6 % 0.52/0.60 | p_7 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_1,negated_conjecture, % 0.52/0.60 ( ~ p_1 % 0.52/0.60 | ~ q_1 % 0.52/0.60 | q_2 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_2,negated_conjecture, % 0.52/0.60 ( ~ p_2 % 0.52/0.60 | ~ q_2 % 0.52/0.60 | q_3 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_3,negated_conjecture, % 0.52/0.60 ( ~ p_3 % 0.52/0.60 | ~ q_3 % 0.52/0.60 | q_4 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_4,negated_conjecture, % 0.52/0.60 ( ~ p_4 % 0.52/0.60 | ~ q_4 % 0.52/0.60 | q_5 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_5,negated_conjecture, % 0.52/0.60 ( ~ p_5 % 0.52/0.60 | ~ q_5 % 0.52/0.60 | q_6 ) ). % 0.52/0.60 % 0.52/0.60 cnf(pqq_6,negated_conjecture, % 0.52/0.60 ( ~ p_6 % 0.52/0.60 | ~ q_6 % 0.52/0.60 | q_7 ) ). % 0.52/0.60 % 0.52/0.60 cnf(base_1,negated_conjecture, % 0.52/0.60 p_1 ). % 0.52/0.60 % 0.52/0.60 cnf(base_2,negated_conjecture, % 0.52/0.60 q_1 ). % 0.52/0.60 % 0.52/0.60 cnf(base_3,negated_conjecture, % 0.52/0.60 ( ~ p_7 % 0.52/0.60 | ~ q_7 ) ). % 0.52/0.60 % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 %------------------------------------------- % 0.52/0.60 % Proof found % 0.52/0.60 % SZS status Theorem for theBenchmark % 0.52/0.60 % SZS output start Proof % 0.52/0.60 %ClaNum:15(EqnAxiom:0) % 0.52/0.60 %VarNum:0(SingletonVarNum:0) % 0.52/0.60 %MaxLitNum:3 % 0.52/0.60 %MaxfuncDepth:0 % 0.52/0.60 %SharedTerms:29 % 0.52/0.60 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 % 0.52/0.60 %singleGoalClaCount:2 % 0.52/0.60 [1]P1(a5000) % 0.52/0.60 [2]P2(a5000) % 0.52/0.60 [3]~P3(a5000)+~P9(a5000) % 0.52/0.60 [4]P4(a5000)+~P1(a5000)+~P2(a5000) % 0.52/0.60 [5]P10(a5000)+~P1(a5000)+~P2(a5000) % 0.52/0.60 [6]P5(a5000)+~P4(a5000)+~P10(a5000) % 0.52/0.60 [7]P11(a5000)+~P4(a5000)+~P10(a5000) % 0.52/0.60 [8]P6(a5000)+~P5(a5000)+~P11(a5000) % 0.52/0.60 [9]P12(a5000)+~P5(a5000)+~P11(a5000) % 0.52/0.60 [10]P7(a5000)+~P6(a5000)+~P12(a5000) % 0.52/0.60 [11]P13(a5000)+~P6(a5000)+~P12(a5000) % 0.52/0.60 [12]P8(a5000)+~P7(a5000)+~P13(a5000) % 0.52/0.60 [13]P14(a5000)+~P7(a5000)+~P13(a5000) % 0.52/0.60 [14]P3(a5000)+~P8(a5000)+~P14(a5000) % 0.52/0.60 [15]P9(a5000)+~P8(a5000)+~P14(a5000) % 0.52/0.60 %EqnAxiom % 0.52/0.60 % 0.52/0.60 %------------------------------------------- % 0.52/0.60 cnf(16,plain, % 0.52/0.60 (P4(a5000)), % 0.52/0.60 inference(scs_inference,[],[1,2,4])). % 0.52/0.60 cnf(17,plain, % 0.52/0.60 (P10(a5000)), % 0.52/0.60 inference(scs_inference,[],[1,2,5])). % 0.52/0.60 cnf(18,plain, % 0.52/0.60 (P5(a5000)), % 0.52/0.60 inference(scs_inference,[],[16,17,6])). % 0.52/0.60 cnf(19,plain, % 0.52/0.60 (P11(a5000)), % 0.52/0.60 inference(scs_inference,[],[16,17,7])). % 0.52/0.60 cnf(20,plain, % 0.52/0.60 (~P9(a5000)+~P8(a5000)+~P14(a5000)), % 0.52/0.60 inference(scs_inference,[],[3,14])). % 0.52/0.60 cnf(21,plain, % 0.52/0.60 (P6(a5000)), % 0.52/0.60 inference(scs_inference,[],[18,19,8])). % 0.52/0.60 cnf(22,plain, % 0.52/0.60 (P12(a5000)), % 0.52/0.60 inference(scs_inference,[],[18,19,9])). % 0.52/0.60 cnf(23,plain, % 0.52/0.60 (P7(a5000)), % 0.52/0.60 inference(scs_inference,[],[21,22,10])). % 0.52/0.60 cnf(24,plain, % 0.52/0.60 (P13(a5000)), % 0.52/0.60 inference(scs_inference,[],[21,22,11])). % 0.52/0.60 cnf(25,plain, % 0.52/0.60 (P8(a5000)), % 0.52/0.60 inference(scs_inference,[],[23,24,12])). % 0.52/0.60 cnf(26,plain, % 0.52/0.60 (P14(a5000)), % 0.52/0.60 inference(scs_inference,[],[23,24,13])). % 0.52/0.60 cnf(28,plain, % 0.52/0.60 (P9(a5000)), % 0.52/0.60 inference(scs_inference,[],[25,26,15])). % 0.52/0.60 cnf(29,plain, % 0.52/0.60 (~P9(a5000)), % 0.52/0.60 inference(scs_inference,[],[25,26,20])). % 0.52/0.60 cnf(30,plain, % 0.52/0.60 ($false), % 0.52/0.60 inference(scs_inference,[],[28,29]), % 0.52/0.60 ['proof']). % 0.52/0.60 % SZS output end Proof % 0.52/0.60 % Total time :0.000000s %------------------------------------------------------------------------------