%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN724+1 : TPTP v8.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n026.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 19:06:25 EDT 2024 % Result : Theorem 0.58s 0.69s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN724+1 : TPTP v8.2.0. Released v2.5.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Jun 23 22:17:54 EDT 2024 % 0.13/0.35 % CPUTime : % 0.46/0.62 start to proof:theBenchmark % 0.58/0.68 %------------------------------------------- % 0.58/0.68 % File :CSE---1.7 % 0.58/0.68 % Problem :theBenchmark % 0.58/0.68 % Transform :cnf % 0.58/0.68 % Format :tptp:raw % 0.58/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.68 % 0.58/0.68 % Result :Theorem 0.000000s % 0.58/0.68 % Output :CNFRefutation 0.000000s % 0.58/0.68 %------------------------------------------- % 0.58/0.68 %-------------------------------------------------------------------------- % 0.58/0.69 % File : SYN724+1 : TPTP v8.2.0. Released v2.5.0. % 0.58/0.69 % Domain : Syntactic % 0.58/0.69 % Problem : Peter Andrews Problem THM31 % 0.58/0.69 % Version : Especial. % 0.58/0.69 % English : % 0.58/0.69 % 0.58/0.69 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe % 0.58/0.69 % Source : [And97] % 0.58/0.69 % Names : THM31 [And97] % 0.58/0.69 % 0.58/0.69 % Status : Theorem % 0.58/0.69 % Rating : 0.00 v4.0.1, 0.05 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0, 0.11 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0 % 0.58/0.69 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.58/0.69 % Number of atoms : 5 ( 0 equ) % 0.58/0.69 % Maximal formula atoms : 5 ( 5 avg) % 0.58/0.69 % Number of connectives : 4 ( 0 ~; 0 |; 1 &) % 0.58/0.69 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.58/0.69 % Maximal formula depth : 5 ( 5 avg) % 0.58/0.69 % Maximal term depth : 1 ( 1 avg) % 0.58/0.69 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty) % 0.58/0.69 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.58/0.69 % Number of variables : 2 ( 2 !; 0 ?) % 0.58/0.69 % SPC : FOF_THM_EPR_NEQ % 0.58/0.69 % 0.58/0.69 % Comments : % 0.58/0.69 %-------------------------------------------------------------------------- % 0.58/0.69 fof(thm31,conjecture, % 0.58/0.69 ( ! [X] : % 0.58/0.69 ( r(X) % 0.58/0.69 => s(X) ) % 0.58/0.69 <=> ! [X] : % 0.58/0.69 ( ( r(X) % 0.58/0.69 & s(X) ) % 0.58/0.69 <=> r(X) ) ) ). % 0.58/0.69 % 0.58/0.69 %-------------------------------------------------------------------------- % 0.58/0.69 %------------------------------------------- % 0.58/0.69 % Proof found % 0.58/0.69 % SZS status Theorem for theBenchmark % 0.58/0.69 % SZS output start Proof % 0.58/0.69 %ClaNum:7(EqnAxiom:0) % 0.58/0.69 %VarNum:4(SingletonVarNum:2) % 0.58/0.69 %MaxLitNum:4 % 0.58/0.69 %MaxfuncDepth:0 % 0.58/0.69 %SharedTerms:8 % 0.58/0.69 %goalClause: 1 2 5 6 7 % 0.58/0.69 [1]P1(a1)+P1(a2) % 0.58/0.69 [2]P1(a2)+~P2(a1) % 0.58/0.69 [5]P1(a1)+~P1(a2)+~P2(a2) % 0.58/0.69 [6]~P1(a2)+~P2(a1)+~P2(a2) % 0.58/0.69 [7]~P1(x71)+~P1(x72)+P2(x71)+P2(x72) % 0.58/0.69 %EqnAxiom % 0.58/0.69 % 0.58/0.69 %------------------------------------------- % 0.58/0.69 cnf(8,plain, % 0.58/0.69 (P2(a1)+P1(a2)), % 0.58/0.69 inference(scs_inference,[],[1,7])). % 0.58/0.69 cnf(10,plain, % 0.58/0.69 (P1(a2)), % 0.58/0.69 inference(scs_inference,[],[8,2])). % 0.58/0.69 cnf(11,plain, % 0.58/0.69 (P1(a1)+~P2(a2)), % 0.58/0.69 inference(scs_inference,[],[10,5])). % 0.58/0.69 cnf(12,plain, % 0.58/0.69 (~P2(a1)+~P2(a2)), % 0.58/0.69 inference(scs_inference,[],[10,6])). % 0.58/0.69 cnf(13,plain, % 0.58/0.69 (P2(a2)), % 0.58/0.69 inference(scs_inference,[],[10,7])). % 0.58/0.69 cnf(16,plain, % 0.58/0.69 (P1(a1)), % 0.58/0.69 inference(scs_inference,[],[13,11])). % 0.58/0.69 cnf(17,plain, % 0.58/0.69 (~P2(a1)), % 0.58/0.69 inference(scs_inference,[],[13,12])). % 0.58/0.69 cnf(18,plain, % 0.58/0.69 ($false), % 0.58/0.69 inference(scs_inference,[],[17,16,7]), % 0.58/0.69 ['proof']). % 0.58/0.69 % SZS output end Proof % 0.58/0.69 % Total time :0.000000s %------------------------------------------------------------------------------