%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:37 AM UTC 2026 % Result : Theorem 0.23s 0.51s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.34 % Computer : n020.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Fri Sep 4 23:01:42 UTC 2026 % 0.07/0.35 % CPUTime : % 0.23/0.51 start to proof:theBenchmark % 0.23/0.51 %------------------------------------------- % 0.23/0.51 % File :CSE---1.7 % 0.23/0.51 % Problem :theBenchmark % 0.23/0.51 % Transform :cnf % 0.23/0.51 % Format :tptp:raw % 0.23/0.51 % Command :java -jar mcs_scs.jar %d %s % 0.23/0.51 % 0.23/0.51 % Result :Theorem 0.004056s % 0.23/0.51 % Output :CNFRefutation 0.004056s % 0.23/0.51 %------------------------------------------- % 0.23/0.51 %------------------------------------------------------------------------------ % 0.23/0.51 % File : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.23/0.51 % Domain : Logic Calculi (Modal Logic) % 0.23/0.51 % Problem : In S4, in backward search find a way through box and dia, size 1 % 0.23/0.51 % Version : Especial. % 0.23/0.51 % English : % 0.23/0.51 % 0.23/0.51 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro % 0.23/0.51 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe % 0.23/0.51 % Source : [Kam08] % 0.23/0.51 % Names : s4_md_p [BHS00] % 0.23/0.51 % 0.23/0.51 % Status : Theorem % 0.23/0.51 % Rating : 0.00 v5.5.0, 0.11 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.0 % 0.23/0.51 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.23/0.51 % Number of atoms : 2 ( 0 equ) % 0.23/0.51 % Maximal formula atoms : 2 ( 2 avg) % 0.23/0.51 % Number of connectives : 4 ( 3 ~; 1 |; 0 &) % 0.23/0.51 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 0.23/0.51 % Maximal formula depth : 6 ( 6 avg) % 0.23/0.51 % Maximal term depth : 1 ( 1 avg) % 0.23/0.51 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty) % 0.23/0.51 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.23/0.51 % Number of variables : 1 ( 0 !; 1 ?) % 0.23/0.51 % SPC : FOF_THM_RFO_NEQ % 0.23/0.51 % 0.23/0.51 % Comments : A naive relational encoding of the modal logic problem into % 0.23/0.51 % first-order logic. % 0.23/0.51 %------------------------------------------------------------------------------ % 0.23/0.51 % 0.23/0.51 fof(main,conjecture, % 0.23/0.51 ~ ? [X] : % 0.23/0.51 ~ ( ~ p1(X) % 0.23/0.51 | p1(X) ) ). % 0.23/0.51 % 0.23/0.51 %------------------------------------------------------------------------------ % 0.23/0.51 %------------------------------------------- % 0.23/0.51 % Proof found % 0.23/0.51 % SZS status Theorem for theBenchmark % 0.23/0.51 % SZS output start Proof % 0.23/0.51 %ClaNum:2(EqnAxiom:0) % 0.23/0.51 %VarNum:0(SingletonVarNum:0) % 0.23/0.51 %MaxLitNum:1 % 0.23/0.51 %MaxfuncDepth:0 % 0.23/0.51 %SharedTerms:3 % 0.23/0.51 %goalClause: 1 2 % 0.23/0.51 %singleGoalClaCount:2 % 0.23/0.51 [1]P1(a1) % 0.23/0.51 [2]~P1(a1) % 0.23/0.51 %EqnAxiom % 0.23/0.51 % 0.23/0.51 %------------------------------------------- % 0.23/0.51 cnf(3,plain, % 0.23/0.51 ($false), % 0.23/0.51 inference(scs_inference,[],[1,2]), % 0.23/0.51 ['proof']). % 0.23/0.51 % SZS output end Proof % 0.23/0.51 % Total time :0.004056s %------------------------------------------------------------------------------