%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN069-1 : TPTP v8.2.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 19:04:27 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 % 0.03/0.12 % Problem : SYN069-1 : TPTP v8.2.0. Released v1.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n029.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 20:41:24 EDT 2024 % 0.12/0.34 % CPUTime : % 0.52/0.58 start to proof:theBenchmark % 0.52/0.61 %------------------------------------------- % 0.52/0.61 % File :CSE---1.7 % 0.52/0.61 % Problem :theBenchmark % 0.52/0.61 % Transform :cnf % 0.52/0.61 % Format :tptp:raw % 0.52/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.61 % 0.52/0.61 % Result :Theorem 0.000000s % 0.52/0.61 % Output :CNFRefutation 0.000000s % 0.52/0.61 %------------------------------------------- % 0.52/0.62 %-------------------------------------------------------------------------- % 0.52/0.62 % File : SYN069-1 : TPTP v8.2.0. Released v1.0.0. % 0.52/0.62 % Domain : Syntactic % 0.52/0.62 % Problem : Pelletier Problem 45 % 0.52/0.62 % Version : Especial. % 0.52/0.62 % English : % 0.52/0.62 % 0.52/0.62 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.52/0.62 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.52/0.62 % Source : [Pel86] % 0.52/0.62 % Names : Pelletier 45 [Pel86] % 0.52/0.62 % : p45.in [ANL] % 0.52/0.62 % 0.52/0.62 % Status : Unsatisfiable % 0.52/0.62 % Rating : 0.00 v2.0.0 % 0.52/0.62 % Syntax : Number of clauses : 9 ( 1 unt; 2 nHn; 9 RR) % 0.52/0.62 % Number of literals : 27 ( 0 equ; 17 neg) % 0.52/0.62 % Maximal clause size : 5 ( 3 avg) % 0.52/0.62 % Maximal term depth : 2 ( 1 avg) % 0.52/0.62 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty) % 0.52/0.62 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty) % 0.52/0.62 % Number of variables : 11 ( 0 sgn) % 0.52/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.52/0.62 % 0.52/0.62 % Comments : % 0.52/0.62 %-------------------------------------------------------------------------- % 0.52/0.62 cnf(clause_1,axiom, % 0.52/0.62 ( ~ big_f(X) % 0.52/0.62 | big_g(f(X)) % 0.52/0.62 | ~ big_g(Y) % 0.52/0.62 | ~ big_h(X,Y) % 0.52/0.62 | big_k(Y) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_2,axiom, % 0.52/0.62 ( ~ big_f(X) % 0.52/0.62 | big_h(X,f(X)) % 0.52/0.62 | ~ big_g(Y) % 0.52/0.62 | ~ big_h(X,Y) % 0.52/0.62 | big_k(Y) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_3,axiom, % 0.52/0.62 ( ~ big_f(X) % 0.52/0.62 | ~ big_j(X,f(X)) % 0.52/0.62 | ~ big_g(Y) % 0.52/0.62 | ~ big_h(X,Y) % 0.52/0.62 | big_k(Y) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_4,axiom, % 0.52/0.62 ( ~ big_l(X) % 0.52/0.62 | ~ big_k(X) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_5,axiom, % 0.52/0.62 big_f(a) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_6,axiom, % 0.52/0.62 ( ~ big_h(a,X) % 0.52/0.62 | big_l(X) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_7,axiom, % 0.52/0.62 ( ~ big_g(X) % 0.52/0.62 | ~ big_h(a,X) % 0.52/0.62 | big_j(a,X) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_8,negated_conjecture, % 0.52/0.62 ( ~ big_f(X) % 0.52/0.62 | big_g(g(X)) ) ). % 0.52/0.62 % 0.52/0.62 cnf(clause_9,negated_conjecture, % 0.52/0.62 ( ~ big_f(X) % 0.52/0.62 | big_h(X,g(X)) ) ). % 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:9(EqnAxiom:0) % 0.52/0.62 %VarNum:32(SingletonVarNum:11) % 0.52/0.62 %MaxLitNum:5 % 0.52/0.62 %MaxfuncDepth:1 % 0.52/0.62 %SharedTerms:2 % 0.52/0.62 %goalClause: 3 5 % 0.52/0.62 [1]P1(a1) % 0.52/0.62 [2]~P6(x21)+~P2(x21) % 0.52/0.62 [4]P6(x41)+~P4(a1,x41) % 0.52/0.62 [3]~P1(x31)+P3(f2(x31)) % 0.52/0.62 [5]~P1(x51)+P4(x51,f2(x51)) % 0.52/0.62 [6]~P3(x61)+~P4(a1,x61)+P5(a1,x61) % 0.52/0.62 [7]~P1(x72)+~P3(x71)+~P4(x72,x71)+P2(x71)+P3(f3(x72)) % 0.52/0.62 [8]~P1(x82)+~P3(x81)+~P4(x82,x81)+P2(x81)+P4(x82,f3(x82)) % 0.52/0.62 [9]~P3(x91)+~P4(x92,x91)+P2(x91)+~P1(x92)+~P5(x92,f3(x92)) % 0.52/0.62 %EqnAxiom % 0.52/0.62 % 0.52/0.62 %------------------------------------------- % 0.52/0.62 cnf(10,plain, % 0.52/0.62 (~P2(x101)+~P4(a1,x101)), % 0.52/0.62 inference(scs_inference,[],[2,4])). % 0.52/0.62 cnf(12,plain, % 0.52/0.62 (~P3(x121)+~P4(a1,x121)+~P5(a1,f3(a1))), % 0.52/0.62 inference(scs_inference,[],[1,10,9])). % 0.52/0.62 cnf(13,plain, % 0.52/0.62 (P6(f2(a1))), % 0.52/0.62 inference(scs_inference,[],[1,5,4])). % 0.52/0.62 cnf(14,plain, % 0.52/0.62 (~P4(a1,f2(a1))+~P5(a1,f3(a1))), % 0.52/0.62 inference(scs_inference,[],[1,12,3])). % 0.52/0.62 cnf(15,plain, % 0.52/0.62 (~P5(a1,f3(a1))), % 0.52/0.62 inference(scs_inference,[],[1,14,5])). % 0.52/0.62 cnf(16,plain, % 0.52/0.62 (~P4(a1,f2(a1))+~P3(f2(a1))+P3(f3(a1))), % 0.52/0.62 inference(scs_inference,[],[13,1,2,7])). % 0.52/0.62 cnf(17,plain, % 0.52/0.62 (~P3(f2(a1))+P3(f3(a1))), % 0.52/0.62 inference(scs_inference,[],[1,16,5])). % 0.52/0.62 cnf(18,plain, % 0.52/0.62 (~P3(f2(a1))+~P4(a1,f3(a1))), % 0.52/0.62 inference(scs_inference,[],[15,17,6])). % 0.52/0.62 cnf(19,plain, % 0.52/0.62 (~P4(a1,f3(a1))), % 0.52/0.62 inference(scs_inference,[],[1,18,3])). % 0.52/0.62 cnf(20,plain, % 0.52/0.62 (P2(x201)+~P4(a1,x201)+~P3(x201)), % 0.52/0.62 inference(scs_inference,[],[1,19,8])). % 0.52/0.62 cnf(21,plain, % 0.52/0.62 (P2(f2(a1))+~P4(a1,f2(a1))), % 0.52/0.62 inference(scs_inference,[],[1,20,3])). % 0.52/0.62 cnf(31,plain, % 0.52/0.62 (P2(f2(a1))), % 0.52/0.63 inference(scs_inference,[],[1,21,5])). % 0.52/0.63 cnf(32,plain, % 0.52/0.63 ($false), % 0.52/0.63 inference(scs_inference,[],[13,31,2]), % 0.52/0.63 ['proof']). % 0.52/0.63 % SZS output end Proof % 0.52/0.63 % Total time :0.000000s %------------------------------------------------------------------------------