%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN919+1 : TPTP v8.2.0. Released v3.1.0. % 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 19:07:21 EDT 2024 % Result : Theorem 0.57s 0.62s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN919+1 : TPTP v8.2.0. Released v3.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n028.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Sun Jun 23 22:53:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.21/0.57 start to proof:theBenchmark % 0.57/0.61 %------------------------------------------- % 0.57/0.61 % File :CSE---1.7 % 0.57/0.61 % Problem :theBenchmark % 0.57/0.61 % Transform :cnf % 0.57/0.61 % Format :tptp:raw % 0.57/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.61 % 0.57/0.61 % Result :Theorem 0.000000s % 0.57/0.61 % Output :CNFRefutation 0.000000s % 0.57/0.61 %------------------------------------------- % 0.57/0.62 %-------------------------------------------------------------------------- % 0.57/0.62 % File : SYN919+1 : TPTP v8.2.0. Released v3.1.0. % 0.57/0.62 % Domain : Syntactic % 0.57/0.62 % Problem : From Smullyan % 0.57/0.62 % Version : Especial. % 0.57/0.62 % English : % 0.57/0.62 % 0.57/0.62 % Refs : [Smu68] Smullyan (1968), First-Order Logic % 0.57/0.62 % [Shu04] Shults (2004), Email to G. Sutcliffe % 0.57/0.62 % Source : [Shu04] % 0.57/0.62 % Names : % 0.57/0.62 % 0.57/0.62 % Status : Theorem % 0.57/0.62 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.1.0 % 0.57/0.62 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.57/0.62 % Number of atoms : 7 ( 0 equ) % 0.57/0.62 % Maximal formula atoms : 7 ( 7 avg) % 0.57/0.62 % Number of connectives : 6 ( 0 ~; 0 |; 2 &) % 0.57/0.62 % ( 0 <=>; 4 =>; 0 <=; 0 <~>) % 0.57/0.62 % Maximal formula depth : 8 ( 8 avg) % 0.57/0.62 % Maximal term depth : 1 ( 1 avg) % 0.57/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.57/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.57/0.62 % Number of variables : 7 ( 7 !; 0 ?) % 0.57/0.62 % SPC : FOF_THM_EPR_NEQ % 0.57/0.62 % 0.57/0.62 % Comments : % 0.57/0.62 %-------------------------------------------------------------------------- % 0.57/0.62 fof(prove_this,conjecture, % 0.57/0.62 ( ( ! [X,Y] : % 0.57/0.62 ( r(X,Y) % 0.57/0.62 => r(Y,X) ) % 0.57/0.62 & ! [X,Y,Z] : % 0.57/0.62 ( ( r(X,Y) % 0.57/0.62 & r(Y,Z) ) % 0.57/0.62 => r(X,Z) ) ) % 0.57/0.62 => ! [X,Y] : % 0.57/0.62 ( r(X,Y) % 0.57/0.62 => r(X,X) ) ) ). % 0.57/0.62 % 0.57/0.62 %-------------------------------------------------------------------------- % 0.57/0.62 %------------------------------------------- % 0.57/0.62 % Proof found % 0.57/0.62 % SZS status Theorem for theBenchmark % 0.57/0.62 % SZS output start Proof % 0.57/0.62 %ClaNum:4(EqnAxiom:0) % 0.57/0.62 %VarNum:10(SingletonVarNum:5) % 0.57/0.62 %MaxLitNum:3 % 0.57/0.62 %MaxfuncDepth:0 % 0.57/0.62 %SharedTerms:4 % 0.57/0.62 %goalClause: 1 2 3 4 % 0.57/0.62 %singleGoalClaCount:2 % 0.57/0.62 [1]P1(a1,a2) % 0.57/0.62 [2]~P1(a1,a1) % 0.57/0.62 [3]~P1(x32,x31)+P1(x31,x32) % 0.57/0.62 [4]~P1(x41,x43)+P1(x41,x42)+~P1(x43,x42) % 0.57/0.62 %EqnAxiom % 0.57/0.62 % 0.57/0.62 %------------------------------------------- % 0.57/0.62 cnf(10,plain, % 0.57/0.62 ($false), % 0.57/0.62 inference(scs_inference,[],[1,2,3,4]), % 0.57/0.62 ['proof']). % 0.57/0.62 % SZS output end Proof % 0.57/0.62 % Total time :0.000000s %------------------------------------------------------------------------------