%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN373+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 : n020.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 19:05:21 EDT 2024 % Result : Theorem 0.52s 0.58s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN373+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n020.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 23:24:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.48/0.55 start to proof:theBenchmark % 0.52/0.58 %------------------------------------------- % 0.52/0.58 % File :CSE---1.7 % 0.52/0.58 % Problem :theBenchmark % 0.52/0.58 % Transform :cnf % 0.52/0.58 % Format :tptp:raw % 0.52/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.58 % 0.52/0.58 % Result :Theorem 0.000000s % 0.52/0.58 % Output :CNFRefutation 0.000000s % 0.52/0.58 %------------------------------------------- % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 % File : SYN373+1 : TPTP v8.2.0. Released v2.0.0. % 0.52/0.58 % Domain : Syntactic % 0.52/0.58 % Problem : Peter Andrews Problem X2124 % 0.52/0.58 % Version : Especial. % 0.52/0.58 % English : % 0.52/0.58 % 0.52/0.58 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic % 0.52/0.58 % : [And94] Andrews (1994), Email to G. Sutcliffe % 0.52/0.58 % Source : [And94] % 0.52/0.58 % Names : X2124 [And86] % 0.52/0.58 % 0.52/0.58 % Status : Theorem % 0.52/0.58 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 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, 0.00 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 % 0.52/0.58 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.52/0.58 % Number of atoms : 4 ( 0 equ) % 0.52/0.58 % Maximal formula atoms : 4 ( 4 avg) % 0.52/0.58 % Number of connectives : 3 ( 0 ~; 0 |; 0 &) % 0.52/0.58 % ( 1 <=>; 2 =>; 0 <=; 0 <~>) % 0.52/0.58 % Maximal formula depth : 4 ( 4 avg) % 0.52/0.58 % Maximal term depth : 1 ( 1 avg) % 0.52/0.58 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty) % 0.52/0.58 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.52/0.58 % Number of variables : 3 ( 1 !; 2 ?) % 0.52/0.58 % SPC : FOF_THM_EPR_NEQ % 0.52/0.58 % 0.52/0.58 % Comments : % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 fof(x2124,conjecture, % 0.52/0.58 ( ? [X] : % 0.52/0.58 ( big_p(X) % 0.52/0.58 => big_q(X) ) % 0.52/0.58 <=> ( ! [X] : big_p(X) % 0.52/0.58 => ? [X] : big_q(X) ) ) ). % 0.52/0.58 % 0.52/0.58 %-------------------------------------------------------------------------- % 0.52/0.58 %------------------------------------------- % 0.52/0.58 % Proof found % 0.52/0.58 % SZS status Theorem for theBenchmark % 0.52/0.58 % SZS output start Proof % 0.52/0.59 %ClaNum:5(EqnAxiom:0) % 0.52/0.59 %VarNum:4(SingletonVarNum:4) % 0.52/0.59 %MaxLitNum:4 % 0.52/0.59 %MaxfuncDepth:0 % 0.52/0.59 %SharedTerms:8 % 0.52/0.59 %goalClause: 1 4 5 % 0.52/0.59 [1]P1(x11)+P1(x12) % 0.52/0.59 [4]~P2(x41)+~P2(x42) % 0.52/0.59 [5]P2(a1)+P2(a3)+~P1(a2)+~P1(a4) % 0.52/0.59 %EqnAxiom % 0.52/0.59 % 0.52/0.59 %------------------------------------------- % 0.52/0.59 cnf(6,plain, % 0.52/0.59 (P2(a1)+P2(a3)+~P1(a4)), % 0.52/0.59 inference(scs_inference,[],[1,5])). % 0.52/0.59 cnf(7,plain, % 0.52/0.59 (P2(a3)+~P1(a4)), % 0.52/0.59 inference(scs_inference,[],[4,6])). % 0.52/0.59 cnf(8,plain, % 0.52/0.59 (~P1(a4)), % 0.52/0.59 inference(scs_inference,[],[7,4])). % 0.52/0.59 cnf(10,plain, % 0.52/0.59 ($false), % 0.52/0.59 inference(scs_inference,[],[8,1]), % 0.52/0.59 ['proof']). % 0.52/0.59 % SZS output end Proof % 0.52/0.59 % Total time :0.000000s %------------------------------------------------------------------------------