%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN380+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n027.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 19:05:22 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 % 0.03/0.12 % Problem : SYN380+1 : TPTP v8.2.0. Released v2.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n027.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Sun Jun 23 23:01:08 EDT 2024 % 0.12/0.33 % CPUTime : % 0.50/0.57 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.000000s % 0.54/0.60 % Output :CNFRefutation 0.000000s % 0.54/0.60 %------------------------------------------- % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 % File : SYN380+1 : TPTP v8.2.0. Released v2.0.0. % 0.54/0.60 % Domain : Syntactic % 0.54/0.60 % Problem : Peter Andrews Problem X2132 % 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 : X2132 [And86] % 0.54/0.60 % 0.54/0.60 % Status : Theorem % 0.54/0.60 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 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 % 0.54/0.60 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.54/0.60 % Number of atoms : 4 ( 0 equ) % 0.54/0.60 % Maximal formula atoms : 4 ( 4 avg) % 0.54/0.60 % Number of connectives : 5 ( 2 ~; 0 |; 1 &) % 0.54/0.60 % ( 0 <=>; 2 =>; 0 <=; 0 <~>) % 0.54/0.60 % Maximal formula depth : 7 ( 7 avg) % 0.54/0.60 % Maximal term depth : 1 ( 1 avg) % 0.54/0.60 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 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 : % 0.54/0.60 %-------------------------------------------------------------------------- % 0.54/0.60 fof(x2132,conjecture, % 0.54/0.60 ( ! [W] : ~ big_r(W,W) % 0.54/0.60 => ? [X,Y] : % 0.54/0.60 ( ~ big_r(X,Y) % 0.54/0.60 & ( big_q(Y,X) % 0.54/0.60 => ! [Z] : big_q(Z,Z) ) ) ) ). % 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:3(EqnAxiom:0) % 0.54/0.60 %VarNum:12(SingletonVarNum:5) % 0.54/0.60 %MaxLitNum:2 % 0.54/0.60 %MaxfuncDepth:1 % 0.54/0.60 %SharedTerms:0 % 0.54/0.60 %goalClause: 1 2 3 % 0.54/0.60 %singleGoalClaCount:1 % 0.54/0.60 [1]~P1(x11,x11) % 0.54/0.60 [2]P2(x22,x21)+P1(x21,x22) % 0.54/0.60 [3]P1(x31,x32)+~P2(f1(x31,x32),f1(x31,x32)) % 0.54/0.60 %EqnAxiom % 0.54/0.60 % 0.54/0.60 %------------------------------------------- % 0.54/0.61 cnf(6,plain, % 0.54/0.61 (P1(x61,x62)), % 0.54/0.61 inference(scs_inference,[],[1,2,3])). % 0.54/0.61 cnf(7,plain, % 0.54/0.61 ($false), % 0.54/0.61 inference(scs_inference,[],[1,6]), % 0.54/0.61 ['proof']). % 0.54/0.61 % SZS output end Proof % 0.54/0.61 % Total time :0.000000s %------------------------------------------------------------------------------