%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n012.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 01:03:59 PM UTC 2026
% Result : Theorem 0.02s 0.31s
% Output : Proof 0.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ modus_ponens_strict_implies,
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies)]) ).
cnf(g1,plain,
( is_a_theorem(sK56)
| modus_ponens_strict_implies ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).
cnf(g2,plain,
( ~ is_a_theorem(sK57)
| modus_ponens_strict_implies ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).
cnf(g3,plain,
( is_a_theorem(strict_implies(sK56,sK57))
| modus_ponens_strict_implies ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).
cnf(g4,plain,
( ~ sPE(strict_implies(sK56,sK57),necessarily(implies(sK56,sK57)))
| ~ is_a_theorem(strict_implies(sK56,sK57))
| is_a_theorem(necessarily(implies(sK56,sK57))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
( ~ op_strict_implies
| sPE(strict_implies(sK56,sK57),necessarily(implies(sK56,sK57))) ),
inference(ground_cnf,[],[file('Axioms/LCL007+1.ax',op_strict_implies)]) ).
cnf(g6,plain,
( ~ modus_ponens
| ~ is_a_theorem(sK56)
| ~ is_a_theorem(implies(sK56,sK57))
| is_a_theorem(sK57) ),
inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).
cnf(g7,plain,
op_strict_implies,
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies)]) ).
cnf(g8,plain,
( ~ modus_ponens
| ~ is_a_theorem(necessarily(implies(sK56,sK57)))
| ~ is_a_theorem(implies(necessarily(implies(sK56,sK57)),implies(sK56,sK57)))
| is_a_theorem(implies(sK56,sK57)) ),
inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).
cnf(g9,plain,
( ~ axiom_M
| is_a_theorem(implies(necessarily(implies(sK56,sK57)),implies(sK56,sK57))) ),
inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',axiom_M)]) ).
cnf(g10,plain,
modus_ponens,
inference(ground_cnf,[],[file('Axioms/LCL006+2.ax',hilbert_modus_ponens)]) ).
cnf(g11,plain,
axiom_M,
inference(ground_cnf,[],[file('Axioms/LCL007+2.ax',km5_axiom_M)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : satcop --statistics %s
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 5 13:10:12 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % symbols: 165
% 0.02/0.31 % clauses: 159
% 0.02/0.31 % start clauses: 1
% 0.02/0.31 % iterative deepening steps: 137
% 0.02/0.31 % maximum path limit: 4
% 0.02/0.31 % literal attempts: 17861
% 0.02/0.31 % depth failures: 11787
% 0.02/0.31 % regularity failures: 1311
% 0.02/0.31 % tautology failures: 449
% 0.02/0.31 % reductions: 1460
% 0.02/0.31 % extensions: 16282
% 0.02/0.31 % SAT variables: 7597
% 0.02/0.31 % SAT clauses: 8002
% 0.02/0.31 % WalkSAT solutions: 7999
% 0.02/0.31 % CDCL solutions: 0
% 0.02/0.31 % SZS status Theorem for theBenchmark
% 0.02/0.31 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------