%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN366+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 : 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 19:05:20 EDT 2024 % Result : Theorem 0.61s 0.70s % Output : CNFRefutation 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN366+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.15/0.36 % Computer : n028.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Mon Jun 24 00:08:23 EDT 2024 % 0.15/0.36 % CPUTime : % 0.61/0.65 start to proof:theBenchmark % 0.61/0.69 %------------------------------------------- % 0.61/0.69 % File :CSE---1.7 % 0.61/0.69 % Problem :theBenchmark % 0.61/0.69 % Transform :cnf % 0.61/0.69 % Format :tptp:raw % 0.61/0.69 % Command :java -jar mcs_scs.jar %d %s % 0.61/0.69 % 0.61/0.69 % Result :Theorem 0.000000s % 0.61/0.69 % Output :CNFRefutation 0.000000s % 0.61/0.69 %------------------------------------------- % 0.61/0.69 %-------------------------------------------------------------------------- % 0.61/0.69 % File : SYN366+1 : TPTP v8.2.0. Released v2.0.0. % 0.61/0.69 % Domain : Syntactic % 0.61/0.69 % Problem : Peter Andrews Problem X2117 % 0.61/0.69 % Version : Especial. % 0.61/0.69 % English : % 0.61/0.69 % 0.61/0.69 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic % 0.61/0.69 % : [And94] Andrews (1994), Email to G. Sutcliffe % 0.61/0.69 % Source : [And94] % 0.61/0.69 % Names : X2117 [And86] % 0.61/0.69 % 0.61/0.69 % Status : Theorem % 0.61/0.69 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.61/0.69 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.61/0.69 % Number of atoms : 6 ( 0 equ) % 0.61/0.69 % Maximal formula atoms : 6 ( 6 avg) % 0.61/0.69 % Number of connectives : 5 ( 0 ~; 0 |; 1 &) % 0.61/0.69 % ( 2 <=>; 2 =>; 0 <=; 0 <~>) % 0.61/0.69 % Maximal formula depth : 6 ( 6 avg) % 0.61/0.69 % Maximal term depth : 1 ( 1 avg) % 0.61/0.69 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.61/0.69 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.61/0.69 % Number of variables : 6 ( 5 !; 1 ?) % 0.61/0.69 % SPC : FOF_THM_EPR_NEQ % 0.61/0.69 % 0.61/0.69 % Comments : % 0.61/0.69 %-------------------------------------------------------------------------- % 0.61/0.70 fof(x2117,conjecture, % 0.61/0.70 ( ( ! [U,V] : % 0.61/0.70 ( big_r(U,U) % 0.61/0.70 <=> big_r(U,V) ) % 0.61/0.70 & ! [W,Z] : % 0.61/0.70 ( big_r(W,W) % 0.61/0.70 <=> big_r(Z,W) ) ) % 0.61/0.70 => ( ? [X] : big_r(X,X) % 0.61/0.70 => ! [Y] : big_r(Y,Y) ) ) ). % 0.61/0.70 % 0.61/0.70 %-------------------------------------------------------------------------- % 0.61/0.70 %------------------------------------------- % 0.61/0.70 % Proof found % 0.61/0.70 % SZS status Theorem for theBenchmark % 0.61/0.70 % SZS output start Proof % 0.61/0.70 %ClaNum:6(EqnAxiom:0) % 0.61/0.70 %VarNum:16(SingletonVarNum:8) % 0.61/0.70 %MaxLitNum:2 % 0.61/0.70 %MaxfuncDepth:0 % 0.61/0.70 %SharedTerms:4 % 0.61/0.70 %goalClause: 1 2 3 4 5 6 % 0.61/0.70 %singleGoalClaCount:2 % 0.61/0.70 [1]P1(a1,a1) % 0.61/0.70 [2]~P1(a2,a2) % 0.61/0.70 [3]P1(x31,x31)+~P1(x32,x31) % 0.61/0.70 [4]~P1(x42,x42)+P1(x41,x42) % 0.61/0.70 [5]~P1(x51,x51)+P1(x51,x52) % 0.61/0.70 [6]P1(x61,x61)+~P1(x61,x62) % 0.61/0.70 %EqnAxiom % 0.61/0.70 % 0.61/0.70 %------------------------------------------- % 0.61/0.71 cnf(11,plain, % 0.61/0.71 ($false), % 0.61/0.71 inference(scs_inference,[],[1,2,3,4,5]), % 0.61/0.71 ['proof']). % 0.61/0.71 % SZS output end Proof % 0.61/0.71 % Total time :0.000000s %------------------------------------------------------------------------------