%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n017.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 11:19:07 AM UTC 2026 % Result : Unsatisfiable 0.24s 0.51s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.02 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.07/0.34 % Computer : n017.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 20:04:36 UTC 2026 % 0.07/0.34 % CPUTime : % 0.24/0.51 start to proof:theBenchmark % 0.24/0.51 %------------------------------------------- % 0.24/0.51 % File :CSE---1.7 % 0.24/0.51 % Problem :theBenchmark % 0.24/0.51 % Transform :cnf % 0.24/0.51 % Format :tptp:raw % 0.24/0.51 % Command :java -jar mcs_scs.jar %d %s % 0.24/0.51 % 0.24/0.51 % Result :Theorem 0.005932s % 0.24/0.51 % Output :CNFRefutation 0.005932s % 0.24/0.51 %------------------------------------------- % 0.24/0.51 %-------------------------------------------------------------------------- % 0.24/0.51 % File : LCL414-1 : TPTP v9.3.1. Released v2.5.0. % 0.24/0.51 % Domain : Syntactic % 0.24/0.51 % Problem : Peter Andrews Problem THM147 % 0.24/0.51 % Version : Especial. % 0.24/0.51 % English : % 0.24/0.51 % 0.24/0.51 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe % 0.24/0.51 % Source : [And97] % 0.24/0.51 % Names : THM147 [And97] % 0.24/0.51 % 0.24/0.51 % Status : Unsatisfiable % 0.24/0.51 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v2.5.0 % 0.24/0.51 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR) % 0.24/0.51 % Number of literals : 7 ( 0 equ; 3 neg) % 0.24/0.51 % Maximal clause size : 3 ( 1 avg) % 0.24/0.51 % Maximal term depth : 4 ( 2 avg) % 0.24/0.51 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty) % 0.24/0.51 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty) % 0.24/0.51 % Number of variables : 9 ( 1 sgn) % 0.24/0.51 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.24/0.51 % 0.24/0.51 % Comments : % 0.24/0.51 %-------------------------------------------------------------------------- % 0.24/0.51 cnf(thm147_1,negated_conjecture, % 0.24/0.51 ( a_truth(B) % 0.24/0.51 | ~ a_truth(A) % 0.24/0.51 | ~ a_truth(implies(A,B)) ) ). % 0.24/0.51 % 0.24/0.51 cnf(thm147_2,negated_conjecture, % 0.24/0.51 a_truth(implies(A,implies(B,A))) ). % 0.24/0.51 % 0.24/0.51 cnf(thm147_3,negated_conjecture, % 0.24/0.51 a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) ). % 0.24/0.51 % 0.24/0.51 cnf(thm147_4,negated_conjecture, % 0.24/0.51 a_truth(implies(implies(not(A),not(B)),implies(B,A))) ). % 0.24/0.51 % 0.24/0.51 cnf(thm147_5,negated_conjecture, % 0.24/0.51 ~ a_truth(implies(sk1,sk1)) ). % 0.24/0.51 % 0.24/0.51 %-------------------------------------------------------------------------- % 0.24/0.51 %------------------------------------------- % 0.24/0.51 % Proof found % 0.24/0.51 % SZS status Theorem for theBenchmark % 0.24/0.51 % SZS output start Proof % 0.24/0.51 %ClaNum:5(EqnAxiom:0) % 0.24/0.51 %VarNum:18(SingletonVarNum:9) % 0.24/0.52 %MaxLitNum:3 % 0.24/0.52 %MaxfuncDepth:3 % 0.24/0.52 %SharedTerms:3 % 0.24/0.52 %goalClause: 1 2 3 4 5 % 0.24/0.52 %singleGoalClaCount:4 % 0.24/0.52 [4]~P1(f1(a3,a3)) % 0.24/0.52 [1]P1(f1(x11,f1(x12,x11))) % 0.24/0.52 [2]P1(f1(f1(f2(x21),f2(x22)),f1(x22,x21))) % 0.24/0.52 [3]P1(f1(f1(x31,f1(x32,x33)),f1(f1(x31,x32),f1(x31,x33)))) % 0.24/0.52 [5]P1(x51)+~P1(x52)+~P1(f1(x52,x51)) % 0.24/0.52 %EqnAxiom % 0.24/0.52 % 0.24/0.52 %------------------------------------------- % 0.24/0.52 cnf(9,plain, % 0.24/0.52 (~P1(f1(f2(a3),f2(a3)))), % 0.24/0.52 inference(scs_inference,[],[2,4,5])). % 0.24/0.52 cnf(15,plain, % 0.24/0.52 (P1(f1(f1(x151,x152),f1(x151,x151)))), % 0.24/0.52 inference(scs_inference,[],[1,3,5])). % 0.24/0.52 cnf(18,plain, % 0.24/0.52 ($false), % 0.24/0.52 inference(scs_inference,[],[1,15,9,5]), % 0.24/0.52 ['proof']). % 0.24/0.52 % SZS output end Proof % 0.24/0.52 % Total time :0.005932s %------------------------------------------------------------------------------