%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN082-1 : 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 : n032.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 19:04:30 EDT 2024 % Result : Unsatisfiable 0.14s 0.49s % Output : CNFRefutation 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYN082-1 : TPTP v8.2.0. Released v1.0.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 300 % 0.10/0.28 % DateTime : Sun Jun 23 23:29:53 EDT 2024 % 0.10/0.28 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 0.14/0.48 %------------------------------------------- % 0.14/0.48 % File :CSE---1.7 % 0.14/0.48 % Problem :theBenchmark % 0.14/0.48 % Transform :cnf % 0.14/0.48 % Format :tptp:raw % 0.14/0.48 % Command :java -jar mcs_scs.jar %d %s % 0.14/0.48 % 0.14/0.48 % Result :Theorem 0.000000s % 0.14/0.48 % Output :CNFRefutation 0.000000s % 0.14/0.48 %------------------------------------------- % 0.14/0.48 %-------------------------------------------------------------------------- % 0.14/0.48 % File : SYN082-1 : TPTP v8.2.0. Released v1.0.0. % 0.14/0.48 % Domain : Syntactic % 0.14/0.48 % Problem : Pelletier Problem 60 % 0.14/0.48 % Version : Especial. % 0.14/0.48 % English : % 0.14/0.48 % 0.14/0.48 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.14/0.48 % : [Pel88] Pelletier (1988), Errata % 0.14/0.48 % Source : [Pel86] % 0.14/0.48 % Names : Pelletier 60 [Pel86] % 0.14/0.48 % 0.14/0.48 % Status : Unsatisfiable % 0.14/0.48 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.00 v2.0.0 % 0.14/0.48 % Syntax : Number of clauses : 8 ( 0 unt; 4 nHn; 8 RR) % 0.14/0.48 % Number of literals : 25 ( 0 equ; 14 neg) % 0.14/0.48 % Maximal clause size : 4 ( 3 avg) % 0.14/0.48 % Maximal term depth : 2 ( 1 avg) % 0.14/0.48 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.14/0.48 % Number of functors : 4 ( 4 usr; 2 con; 0-1 aty) % 0.14/0.49 % Number of variables : 9 ( 0 sgn) % 0.14/0.49 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.14/0.49 % 0.14/0.49 % Comments : This problem is incorrect in [Pel86] and is corrected in [Pel88]. % 0.14/0.49 %-------------------------------------------------------------------------- % 0.14/0.49 cnf(clause_1,negated_conjecture, % 0.14/0.49 ( big_f(a,f(a)) % 0.14/0.49 | ~ big_f(Y,b) % 0.14/0.49 | big_f(Y,f(a)) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_2,negated_conjecture, % 0.14/0.49 ( big_f(a,f(a)) % 0.14/0.49 | big_f(a,b) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_3,negated_conjecture, % 0.14/0.49 ( big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | ~ big_f(Y,b) % 0.14/0.49 | big_f(Y,f(a)) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_4,negated_conjecture, % 0.14/0.49 ( big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | big_f(a,b) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_5,negated_conjecture, % 0.14/0.49 ( big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | ~ big_f(a,f(a)) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_6,negated_conjecture, % 0.14/0.49 ( ~ big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | ~ big_f(Y,b) % 0.14/0.49 | big_f(Y,f(a)) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_7,negated_conjecture, % 0.14/0.49 ( ~ big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | big_f(a,b) ) ). % 0.14/0.49 % 0.14/0.49 cnf(clause_8,negated_conjecture, % 0.14/0.49 ( ~ big_f(g(X),X) % 0.14/0.49 | ~ big_f(a,X) % 0.14/0.49 | ~ big_f(a,f(a)) ) ). % 0.14/0.49 % 0.14/0.49 %-------------------------------------------------------------------------- % 0.14/0.49 %------------------------------------------- % 0.14/0.49 % Proof found % 0.14/0.49 % SZS status Theorem for theBenchmark % 0.14/0.49 % SZS output start Proof % 0.14/0.49 %ClaNum:8(EqnAxiom:0) % 0.14/0.49 %VarNum:24(SingletonVarNum:9) % 0.14/0.49 %MaxLitNum:4 % 0.14/0.49 %MaxfuncDepth:1 % 0.14/0.49 %SharedTerms:6 % 0.14/0.49 %goalClause: 1 2 3 4 5 6 7 8 % 0.14/0.49 [1]P1(a1,a2)+P1(a1,f3(a1)) % 0.14/0.49 [2]P1(a1,a2)+~P1(a1,x21)+P1(f4(x21),x21) % 0.14/0.49 [3]~P1(x31,a2)+P1(x31,f3(a1))+P1(a1,f3(a1)) % 0.14/0.49 [4]P1(a1,a2)+~P1(f4(x41),x41)+~P1(a1,x41) % 0.14/0.49 [5]~P1(a1,x51)+P1(f4(x51),x51)+~P1(a1,f3(a1)) % 0.14/0.49 [6]~P1(f4(x61),x61)+~P1(a1,x61)+~P1(a1,f3(a1)) % 0.14/0.49 [7]~P1(x72,a2)+~P1(a1,x71)+P1(f4(x71),x71)+P1(x72,f3(a1)) % 0.14/0.49 [8]~P1(x81,a2)+~P1(f4(x82),x82)+~P1(a1,x82)+P1(x81,f3(a1)) % 0.14/0.49 %EqnAxiom % 0.14/0.49 % 0.14/0.49 %------------------------------------------- % 0.14/0.49 cnf(9,plain, % 0.14/0.49 (P1(a1,f3(a1))), % 0.14/0.49 inference(scs_inference,[],[1,3])). % 0.14/0.49 cnf(10,plain, % 0.14/0.49 (P1(f4(x101),x101)+~P1(a1,x101)), % 0.14/0.49 inference(scs_inference,[],[9,5])). % 0.14/0.49 cnf(11,plain, % 0.14/0.49 (~P1(a1,x111)+~P1(f4(x111),x111)), % 0.14/0.49 inference(scs_inference,[],[9,6])). % 0.14/0.49 cnf(14,plain, % 0.14/0.49 ($false), % 0.14/0.49 inference(scs_inference,[],[9,10,11]), % 0.14/0.49 ['proof']). % 0.14/0.49 % SZS output end Proof % 0.14/0.49 % Total time :0.000000s %------------------------------------------------------------------------------