%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:18:44 AM UTC 2026 % Result : Theorem 0.24s 0.52s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.35 % Computer : n028.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 23:24:58 UTC 2026 % 0.08/0.35 % CPUTime : % 0.24/0.52 start to proof:theBenchmark % 0.24/0.52 %------------------------------------------- % 0.24/0.52 % File :CSE---1.7 % 0.24/0.52 % Problem :theBenchmark % 0.24/0.52 % Transform :cnf % 0.24/0.52 % Format :tptp:raw % 0.24/0.52 % Command :java -jar mcs_scs.jar %d %s % 0.24/0.52 % 0.24/0.52 % Result :Theorem 0.002433s % 0.24/0.52 % Output :CNFRefutation 0.002433s % 0.24/0.52 %------------------------------------------- % 0.24/0.52 %------------------------------------------------------------------------------ % 0.24/0.52 % File : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % 0.24/0.52 % Domain : Logic Calculi (Propositional) % 0.24/0.52 % Problem : Principia Mathematica 2.15 % 0.24/0.52 % Version : Especial. % 0.24/0.52 % English : Judged by [SRM73] to be the 'hardest' of the first 52 theorems % 0.24/0.52 % of [WR27]. % 0.24/0.52 % 0.24/0.52 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica % 0.24/0.52 % : [SRM73] Siklossy et al. (1973), Breadth First Search: Some Sur % 0.24/0.52 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.24/0.52 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.24/0.52 % Source : [Hah94] % 0.24/0.52 % Names : Pelletier 4 [Pel86] % 0.24/0.52 % 0.24/0.52 % Status : Theorem % 0.24/0.52 % Rating : 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 0.24/0.52 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.24/0.52 % Number of atoms : 4 ( 0 equ) % 0.24/0.52 % Maximal formula atoms : 4 ( 4 avg) % 0.24/0.52 % Number of connectives : 5 ( 2 ~; 0 |; 0 &) % 0.24/0.52 % ( 1 <=>; 2 =>; 0 <=; 0 <~>) % 0.24/0.52 % Maximal formula depth : 4 ( 4 avg) % 0.24/0.52 % Maximal term depth : 0 ( 0 avg) % 0.24/0.52 % Number of predicates : 2 ( 2 usr; 2 prp; 0-0 aty) % 0.24/0.52 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.24/0.52 % Number of variables : 0 ( 0 !; 0 ?) % 0.24/0.52 % SPC : FOF_THM_PRP % 0.24/0.52 % 0.24/0.52 % Comments : % 0.24/0.52 %------------------------------------------------------------------------------ % 0.24/0.52 fof(pel4,conjecture, % 0.24/0.52 ( ( ~ p % 0.24/0.52 => q ) % 0.24/0.52 <=> ( ~ q % 0.24/0.52 => p ) ) ). % 0.24/0.52 % 0.24/0.52 %------------------------------------------------------------------------------ % 0.24/0.52 %------------------------------------------- % 0.24/0.52 % Proof found % 0.24/0.52 % SZS status Theorem for theBenchmark % 0.24/0.52 % SZS output start Proof % 0.24/0.52 %ClaNum:5(EqnAxiom:0) % 0.24/0.52 %VarNum:0(SingletonVarNum:0) % 0.24/0.52 %MaxLitNum:2 % 0.24/0.52 %MaxfuncDepth:0 % 0.24/0.52 %SharedTerms:5 % 0.24/0.52 %goalClause: 1 2 3 % 0.24/0.52 %singleGoalClaCount:2 % 0.24/0.52 [1]~P1(a5000) % 0.24/0.52 [2]~P2(a5000) % 0.24/0.52 [3]P1(a5000)+P2(a5000) % 0.24/0.52 %EqnAxiom % 0.24/0.52 % 0.24/0.52 %------------------------------------------- % 0.24/0.52 cnf(6,plain, % 0.24/0.52 ($false), % 0.24/0.52 inference(scs_inference,[],[1,2,3]), % 0.24/0.52 ['proof']). % 0.24/0.52 % SZS output end Proof % 0.24/0.52 % Total time :0.002433s %------------------------------------------------------------------------------