%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN343-1 : TPTP v8.2.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n028.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 19:05:15 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 % 0.04/0.12 % Problem : SYN343-1 : TPTP v8.2.0. Released v1.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n028.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 22:03:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 0.52/0.60 %------------------------------------------- % 0.52/0.60 % File :CSE---1.7 % 0.52/0.60 % Problem :theBenchmark % 0.52/0.60 % Transform :cnf % 0.52/0.60 % Format :tptp:raw % 0.52/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.60 % 0.52/0.60 % Result :Theorem 0.000000s % 0.52/0.60 % Output :CNFRefutation 0.000000s % 0.52/0.60 %------------------------------------------- % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 % File : SYN343-1 : TPTP v8.2.0. Released v1.2.0. % 0.52/0.60 % Domain : Syntactic % 0.52/0.60 % Problem : Church problem 46.16 (2) % 0.52/0.60 % Version : Especial. % 0.52/0.60 % English : % 0.52/0.60 % 0.52/0.60 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.52/0.60 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De % 0.52/0.60 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe. % 0.52/0.60 % Source : [Tam94] % 0.52/0.60 % Names : Ch16N2 [Tam94] % 0.52/0.60 % 0.52/0.60 % Status : Unsatisfiable % 0.52/0.60 % Rating : 0.00 v2.0.0 % 0.52/0.60 % Syntax : Number of clauses : 3 ( 0 unt; 1 nHn; 2 RR) % 0.52/0.60 % Number of literals : 6 ( 0 equ; 3 neg) % 0.52/0.60 % Maximal clause size : 2 ( 2 avg) % 0.52/0.60 % Maximal term depth : 2 ( 1 avg) % 0.52/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.52/0.60 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 0.52/0.60 % Number of variables : 5 ( 5 sgn) % 0.52/0.60 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.52/0.60 % 0.52/0.60 % Comments : All the problems here can be decided by using a certain % 0.52/0.60 % completeness-preserving term ordering strategies. See [FL+93]. % 0.52/0.60 % : The conversion from the full 1st order form in [Chu56] % 0.52/0.60 % to clause form was done by hand by Tanel Tammet. % 0.52/0.60 %-------------------------------------------------------------------------- % 0.52/0.60 cnf(clause1,negated_conjecture, % 0.52/0.60 ( f(a,Y1) % 0.52/0.60 | f(a,a) ) ). % 0.52/0.60 % 0.52/0.60 cnf(clause2,negated_conjecture, % 0.52/0.60 ( ~ f(z(Y1,Y2),a) % 0.52/0.60 | f(a,a) ) ). % 0.52/0.60 % 0.52/0.60 cnf(clause3,negated_conjecture, % 0.52/0.60 ( ~ f(a,a) % 0.52/0.60 | ~ f(Y1,Y2) ) ). % 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 % 0.52/0.61 %ClaNum:3(EqnAxiom:0) % 0.52/0.61 %VarNum:3(SingletonVarNum:3) % 0.52/0.61 %MaxLitNum:2 % 0.52/0.61 %MaxfuncDepth:0 % 0.52/0.61 %SharedTerms:3 % 0.52/0.61 %goalClause: 1 2 % 0.52/0.61 [1]P1(a1,x11)+P1(a1,a1) % 0.52/0.61 [2]~P1(x21,x22)+~P1(a1,a1) % 0.52/0.61 %EqnAxiom % 0.52/0.61 % 0.52/0.61 %------------------------------------------- % 0.52/0.61 cnf(4,plain, % 0.52/0.61 (P1(a1,a1)), % 0.52/0.61 inference(factoring_inference,[],[1])). % 0.52/0.61 cnf(5,plain, % 0.52/0.61 (~P1(a1,a1)), % 0.52/0.61 inference(factoring_inference,[],[2])). % 0.52/0.61 cnf(6,plain, % 0.52/0.61 ($false), % 0.52/0.61 inference(scs_inference,[],[4,5]), % 0.52/0.61 ['proof']). % 0.52/0.61 % SZS output end Proof % 0.52/0.61 % Total time :0.000000s %------------------------------------------------------------------------------