%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN070-1 : 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 19:04:27 EDT 2024 % Result : Unsatisfiable 0.59s 0.73s % Output : CNFRefutation 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN070-1 : TPTP v8.2.0. Released v1.0.0. % 0.12/0.13 % 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 : Sun Jun 23 18:59:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.58/0.63 start to proof:theBenchmark % 0.59/0.72 %------------------------------------------- % 0.59/0.72 % File :CSE---1.7 % 0.59/0.72 % Problem :theBenchmark % 0.59/0.72 % Transform :cnf % 0.59/0.72 % Format :tptp:raw % 0.59/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.59/0.72 % 0.59/0.72 % Result :Theorem 0.040000s % 0.59/0.72 % Output :CNFRefutation 0.040000s % 0.59/0.72 %------------------------------------------- % 0.59/0.73 %-------------------------------------------------------------------------- % 0.59/0.73 % File : SYN070-1 : TPTP v8.2.0. Released v1.0.0. % 0.59/0.73 % Domain : Syntactic % 0.59/0.73 % Problem : Pelletier Problem 46 % 0.59/0.73 % Version : Especial. % 0.59/0.73 % English : % 0.59/0.73 % 0.59/0.73 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.59/0.73 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.59/0.73 % Source : [Pel86] % 0.59/0.73 % Names : Pelletier 46 [Pel86] % 0.59/0.73 % : p46.in [ANL] % 0.59/0.73 % 0.59/0.73 % Status : Unsatisfiable % 0.59/0.73 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v2.0.0 % 0.59/0.73 % Syntax : Number of clauses : 9 ( 2 unt; 4 nHn; 9 RR) % 0.59/0.73 % Number of literals : 26 ( 0 equ; 14 neg) % 0.59/0.73 % Maximal clause size : 5 ( 2 avg) % 0.59/0.73 % Maximal term depth : 2 ( 1 avg) % 0.59/0.73 % Number of predicates : 4 ( 4 usr; 0 prp; 1-2 aty) % 0.59/0.73 % Number of functors : 3 ( 3 usr; 2 con; 0-1 aty) % 0.59/0.73 % Number of variables : 9 ( 0 sgn) % 0.59/0.73 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.59/0.73 % 0.59/0.73 % Comments : % 0.59/0.73 %-------------------------------------------------------------------------- % 0.59/0.73 cnf(clause_1,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | big_f(f(X)) % 0.59/0.73 | big_g(X) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_2,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | big_h(f(X),X) % 0.59/0.73 | big_g(X) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_3,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | ~ big_g(f(X)) % 0.59/0.73 | big_g(X) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_4,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | big_g(X) % 0.59/0.73 | big_f(a) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_5,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | big_g(X) % 0.59/0.73 | ~ big_g(a) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_6,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | big_g(X) % 0.59/0.73 | ~ big_f(Y) % 0.59/0.73 | big_g(Y) % 0.59/0.73 | big_j(a,Y) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_7,axiom, % 0.59/0.73 ( ~ big_f(X) % 0.59/0.73 | ~ big_f(Y) % 0.59/0.73 | ~ big_h(X,Y) % 0.59/0.73 | ~ big_j(Y,X) ) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_8,negated_conjecture, % 0.59/0.73 big_f(b) ). % 0.59/0.73 % 0.59/0.73 cnf(clause_9,negated_conjecture, % 0.59/0.73 ~ big_g(b) ). % 0.59/0.73 % 0.59/0.73 %-------------------------------------------------------------------------- % 0.59/0.73 %------------------------------------------- % 0.59/0.73 % Proof found % 0.59/0.73 % SZS status Theorem for theBenchmark % 0.59/0.73 % SZS output start Proof % 0.59/0.73 %ClaNum:9(EqnAxiom:0) % 0.59/0.73 %VarNum:25(SingletonVarNum:9) % 0.59/0.73 %MaxLitNum:5 % 0.59/0.73 %MaxfuncDepth:1 % 0.59/0.73 %SharedTerms:6 % 0.59/0.73 %goalClause: 1 2 % 0.59/0.73 %singleGoalClaCount:2 % 0.59/0.73 [1]P1(a1) % 0.59/0.73 [2]~P2(a1) % 0.59/0.73 [3]~P1(x31)+P2(x31)+P1(a2) % 0.59/0.73 [4]~P1(x41)+P2(x41)+~P2(a2) % 0.59/0.73 [5]~P1(x51)+P2(x51)+P1(f3(x51)) % 0.59/0.73 [6]~P1(x61)+P2(x61)+~P2(f3(x61)) % 0.59/0.73 [7]~P1(x71)+P2(x71)+P3(f3(x71),x71) % 0.59/0.73 [9]~P3(x92,x91)+~P4(x91,x92)+~P1(x91)+~P1(x92) % 0.59/0.73 [8]~P1(x81)+~P1(x82)+P2(x81)+P2(x82)+P4(a2,x81) % 0.59/0.73 %EqnAxiom % 0.59/0.73 % 0.59/0.73 %------------------------------------------- % 0.59/0.73 cnf(11,plain, % 0.59/0.73 (~P1(a2)+P1(f3(a2))), % 0.59/0.73 inference(scs_inference,[],[2,1,5,4])). % 0.59/0.73 cnf(13,plain, % 0.59/0.73 (~P1(a2)+P3(f3(a2),a2)), % 0.59/0.73 inference(scs_inference,[],[2,1,7,4])). % 0.59/0.73 cnf(14,plain, % 0.59/0.73 (~P4(a2,f3(a2))+~P1(a2)+~P1(f3(a2))), % 0.59/0.74 inference(scs_inference,[],[13,9])). % 0.59/0.74 cnf(17,plain, % 0.59/0.74 (~P4(a2,f3(a2))+~P1(a2)), % 0.59/0.74 inference(scs_inference,[],[14,11])). % 0.59/0.74 cnf(18,plain, % 0.59/0.74 (P2(f3(a2))+~P1(f3(a2))+~P1(a2)), % 0.59/0.74 inference(scs_inference,[],[2,1,17,8])). % 0.59/0.74 cnf(19,plain, % 0.59/0.74 (P2(a2)+~P1(a2)+~P1(f3(a2))), % 0.59/0.74 inference(scs_inference,[],[18,6])). % 0.59/0.74 cnf(20,plain, % 0.59/0.74 (P2(a2)+~P1(a2)), % 0.59/0.74 inference(scs_inference,[],[19,11])). % 0.59/0.74 cnf(21,plain, % 0.59/0.74 (~P1(a2)), % 0.59/0.74 inference(scs_inference,[],[2,1,20,4])). % 0.59/0.74 cnf(22,plain, % 0.59/0.74 (P2(x221)+~P1(x221)), % 0.59/0.74 inference(scs_inference,[],[21,3])). % 0.59/0.74 cnf(24,plain, % 0.59/0.74 ($false), % 0.59/0.74 inference(scs_inference,[],[2,1,22]), % 0.59/0.74 ['proof']). % 0.59/0.74 % SZS output end Proof % 0.59/0.74 % Total time :0.040000s %------------------------------------------------------------------------------