%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL531+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %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 01:04:00 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ axiom_m4,
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m4)]) ).
cnf(g1,plain,
( ~ is_a_theorem(strict_implies(sK83,and(sK83,sK83)))
| axiom_m4 ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',axiom_m4)]) ).
cnf(g2,plain,
( ~ sPE(necessarily(implies(sK83,and(sK83,sK83))),strict_implies(sK83,and(sK83,sK83)))
| ~ is_a_theorem(necessarily(implies(sK83,and(sK83,sK83))))
| is_a_theorem(strict_implies(sK83,and(sK83,sK83))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ sPE(strict_implies(sK83,and(sK83,sK83)),necessarily(implies(sK83,and(sK83,sK83))))
| sPE(necessarily(implies(sK83,and(sK83,sK83))),strict_implies(sK83,and(sK83,sK83))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ op_strict_implies
| sPE(strict_implies(sK83,and(sK83,sK83)),necessarily(implies(sK83,and(sK83,sK83)))) ),
inference(ground_cnf,[],[file('Axioms/LCL007+1.ax',op_strict_implies)]) ).
cnf(g5,plain,
implies_2,
inference(ground_cnf,[],[file('Axioms/LCL006+2.ax',hilbert_implies_2)]) ).
cnf(g6,plain,
and_3,
inference(ground_cnf,[],[file('Axioms/LCL006+2.ax',hilbert_and_3)]) ).
cnf(g7,plain,
necessitation,
inference(ground_cnf,[],[file('Axioms/LCL007+2.ax',km5_necessitation)]) ).
cnf(g8,plain,
modus_ponens,
inference(ground_cnf,[],[file('Axioms/LCL006+2.ax',hilbert_modus_ponens)]) ).
cnf(g9,plain,
op_strict_implies,
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies)]) ).
cnf(g10,plain,
( ~ is_a_theorem(implies(sK83,and(sK83,sK83)))
| ~ necessitation
| is_a_theorem(necessarily(implies(sK83,and(sK83,sK83)))) ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',necessitation)]) ).
cnf(g11,plain,
( ~ modus_ponens
| ~ is_a_theorem(implies(sK83,implies(sK83,and(sK83,sK83))))
| ~ is_a_theorem(implies(implies(sK83,implies(sK83,and(sK83,sK83))),implies(sK83,and(sK83,sK83))))
| is_a_theorem(implies(sK83,and(sK83,sK83))) ),
inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).
cnf(g12,plain,
( ~ implies_2
| is_a_theorem(implies(implies(sK83,implies(sK83,and(sK83,sK83))),implies(sK83,and(sK83,sK83)))) ),
inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',implies_2)]) ).
cnf(g13,plain,
( ~ and_3
| is_a_theorem(implies(sK83,implies(sK83,and(sK83,sK83)))) ),
inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',and_3)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL531+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.07/0.34 % Computer : n011.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 18:27:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.46 % symbols: 165
% 0.12/0.46 % clauses: 159
% 0.12/0.46 % start clauses: 1
% 0.12/0.46 % iterative deepening steps: 1233
% 0.12/0.46 % maximum path limit: 5
% 0.12/0.46 % literal attempts: 137408
% 0.12/0.46 % depth failures: 92780
% 0.12/0.46 % regularity failures: 5149
% 0.12/0.46 % tautology failures: 4914
% 0.12/0.46 % reductions: 89
% 0.12/0.46 % extensions: 136095
% 0.12/0.46 % SAT variables: 52211
% 0.12/0.46 % SAT clauses: 58271
% 0.12/0.46 % WalkSAT solutions: 58269
% 0.12/0.46 % CDCL solutions: 0
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------