%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN384+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n023.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 19:05:23 EDT 2024 % Result : Theorem 0.54s 0.60s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN384+1 : TPTP v8.2.0. Released v2.0.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 18:49:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.54/0.56 start to proof:theBenchmark % 0.54/0.59 %------------------------------------------- % 0.54/0.59 % File :CSE---1.7 % 0.54/0.59 % Problem :theBenchmark % 0.54/0.59 % Transform :cnf % 0.54/0.59 % Format :tptp:raw % 0.54/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.59 % 0.54/0.59 % Result :Theorem 0.000000s % 0.54/0.59 % Output :CNFRefutation 0.000000s % 0.54/0.59 %------------------------------------------- % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 % File : SYN384+1 : TPTP v8.2.0. Released v2.0.0. % 0.54/0.60 % Domain : Syntactic % 0.54/0.60 % Problem : Peter Andrews Problem X2136 % 0.54/0.60 % Version : Especial. % 0.54/0.60 % English : % 0.54/0.60 % 0.54/0.60 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic % 0.54/0.60 % : [And94] Andrews (1994), Email to G. Sutcliffe % 0.54/0.60 % Source : [And94] % 0.54/0.60 % Names : X2136 [And86] % 0.54/0.60 % 0.54/0.60 % Status : Theorem % 0.54/0.60 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.54/0.60 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.54/0.60 % Number of atoms : 2 ( 0 equ) % 0.54/0.60 % Maximal formula atoms : 2 ( 2 avg) % 0.54/0.60 % Number of connectives : 1 ( 0 ~; 0 |; 0 &) % 0.54/0.60 % ( 0 <=>; 1 =>; 0 <=; 0 <~>) % 0.54/0.60 % Maximal formula depth : 6 ( 6 avg) % 0.54/0.60 % Maximal term depth : 1 ( 1 avg) % 0.54/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.54/0.60 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.54/0.60 % Number of variables : 4 ( 2 !; 2 ?) % 0.54/0.60 % SPC : FOF_THM_RFO_NEQ % 0.54/0.60 % 0.54/0.60 % Comments : In [And86] Z is not quantified. An email from Peter % 0.54/0.60 % reveals they should be universally quantified. % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 fof(x2136,conjecture, % 0.54/0.60 ! [Z] : % 0.54/0.60 ? [X,Y] : % 0.54/0.60 ! [U] : % 0.54/0.60 ( big_p(X,Y,Z) % 0.54/0.60 => big_p(U,X,X) ) ). % 0.54/0.60 % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % Proof found % 0.54/0.60 % SZS status Theorem for theBenchmark % 0.54/0.60 % SZS output start Proof % 0.54/0.60 %ClaNum:2(EqnAxiom:0) % 0.54/0.60 %VarNum:5(SingletonVarNum:3) % 0.54/0.60 %MaxLitNum:1 % 0.54/0.60 %MaxfuncDepth:1 % 0.54/0.60 %SharedTerms:1 % 0.54/0.60 %goalClause: 1 2 % 0.54/0.60 %singleGoalClaCount:2 % 0.54/0.60 [2]~P1(f2(x21),x21,x21) % 0.54/0.60 [1]P1(x11,x12,a1) % 0.54/0.60 %EqnAxiom % 0.54/0.60 % 0.54/0.60 %------------------------------------------- % 0.54/0.60 cnf(3,plain, % 0.54/0.60 ($false), % 0.54/0.60 inference(scs_inference,[],[1,2]), % 0.54/0.60 ['proof']). % 0.54/0.60 % SZS output end Proof % 0.54/0.60 % Total time :0.000000s %------------------------------------------------------------------------------