%------------------------------------------------------------------------------ % 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/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n011.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 : Theorem 0.25s 0.53s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.36 % Computer : n011.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 12:59:43 UTC 2026 % 0.08/0.36 % CPUTime : % 0.25/0.52 start to proof:theBenchmark % 0.25/0.52 %------------------------------------------- % 0.25/0.52 % File :CSE---1.7 % 0.25/0.52 % Problem :theBenchmark % 0.25/0.52 % Transform :cnf % 0.25/0.52 % Format :tptp:raw % 0.25/0.52 % Command :java -jar mcs_scs.jar %d %s % 0.25/0.52 % 0.25/0.52 % Result :Theorem 0.005215s % 0.25/0.52 % Output :CNFRefutation 0.005215s % 0.25/0.52 %------------------------------------------- % 0.25/0.52 %-------------------------------------------------------------------------- % 0.25/0.52 % File : LCL414+1 : TPTP v9.3.1. Released v2.5.0. % 0.25/0.52 % Domain : Syntactic % 0.25/0.52 % Problem : Peter Andrews Problem THM147 % 0.25/0.52 % Version : Especial. % 0.25/0.52 % English : % 0.25/0.52 % 0.25/0.52 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe % 0.25/0.52 % Source : [And97] % 0.25/0.52 % Names : THM147 [And97] % 0.25/0.52 % 0.25/0.52 % Status : Theorem % 0.25/0.52 % Rating : 0.20 v9.1.0, 0.27 v9.0.0, 0.19 v8.2.0, 0.20 v8.1.0, 0.29 v7.5.0, 0.19 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.15 v6.2.0, 0.09 v6.1.0, 0.24 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.30 v5.2.0, 0.14 v5.1.0, 0.21 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.00 v3.4.0, 0.33 v3.3.0, 0.00 v2.5.0 % 0.25/0.52 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.25/0.52 % Number of atoms : 7 ( 0 equ) % 0.25/0.52 % Maximal formula atoms : 7 ( 7 avg) % 0.25/0.52 % Number of connectives : 10 ( 4 ~; 2 |; 4 &) % 0.25/0.52 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 0.25/0.52 % Maximal formula depth : 8 ( 8 avg) % 0.25/0.52 % Maximal term depth : 4 ( 2 avg) % 0.25/0.52 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty) % 0.25/0.52 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.25/0.53 % Number of variables : 10 ( 9 !; 1 ?) % 0.25/0.53 % SPC : FOF_THM_RFO_NEQ % 0.25/0.53 % 0.25/0.53 % Comments : % 0.25/0.53 %-------------------------------------------------------------------------- % 0.25/0.53 fof(thm147,conjecture, % 0.25/0.53 ~ ( ! [P,Q] : % 0.25/0.53 ( ~ a_truth(implies(P,Q)) % 0.25/0.53 | ~ a_truth(P) % 0.25/0.53 | a_truth(Q) ) % 0.25/0.53 & ! [P,Q] : a_truth(implies(P,implies(Q,P))) % 0.25/0.53 & ! [P,Q,R] : a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R)))) % 0.25/0.53 & ! [P,Q] : a_truth(implies(implies(not(P),not(Q)),implies(Q,P))) % 0.25/0.53 & ? [A] : ~ a_truth(implies(A,A)) ) ). % 0.25/0.53 % 0.25/0.53 %-------------------------------------------------------------------------- % 0.25/0.53 %------------------------------------------- % 0.25/0.53 % Proof found % 0.25/0.53 % SZS status Theorem for theBenchmark % 0.25/0.53 % SZS output start Proof % 0.25/0.53 %ClaNum:5(EqnAxiom:0) % 0.25/0.53 %VarNum:18(SingletonVarNum:9) % 0.25/0.53 %MaxLitNum:3 % 0.25/0.53 %MaxfuncDepth:3 % 0.25/0.53 %SharedTerms:3 % 0.25/0.53 %goalClause: 1 2 3 4 5 % 0.25/0.53 %singleGoalClaCount:4 % 0.25/0.53 [4]~P1(f1(a2,a2)) % 0.25/0.53 [1]P1(f1(x11,f1(x12,x11))) % 0.25/0.53 [2]P1(f1(f1(f3(x21),f3(x22)),f1(x22,x21))) % 0.25/0.53 [3]P1(f1(f1(x31,f1(x32,x33)),f1(f1(x31,x32),f1(x31,x33)))) % 0.25/0.53 [5]P1(x51)+~P1(x52)+~P1(f1(x52,x51)) % 0.25/0.53 %EqnAxiom % 0.25/0.53 % 0.25/0.53 %------------------------------------------- % 0.25/0.53 cnf(9,plain, % 0.25/0.53 (~P1(f1(f3(a2),f3(a2)))), % 0.25/0.53 inference(scs_inference,[],[2,4,5])). % 0.25/0.53 cnf(15,plain, % 0.25/0.53 (P1(f1(f1(x151,x152),f1(x151,x151)))), % 0.25/0.53 inference(scs_inference,[],[1,3,5])). % 0.25/0.53 cnf(18,plain, % 0.25/0.53 ($false), % 0.25/0.53 inference(scs_inference,[],[1,15,9,5]), % 0.25/0.53 ['proof']). % 0.25/0.53 % SZS output end Proof % 0.25/0.53 % Total time :0.005215s %------------------------------------------------------------------------------