%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:13:57 PM UTC 2026
% Result : Theorem 3.46s 0.83s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 59 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 18 ~; 19 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_0_modus_ponens_strict_implies,plain,
modus_ponens_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
fof(s1_0_modus_ponens_strict_implies_negated,plain,
~ modus_ponens_strict_implies,
inference(negate_conjecture,[status(cth)],[s1_0_modus_ponens_strict_implies]) ).
cnf(145,plain,
~ modus_ponens_strict_implies,
inference(cnf,[status(esa)],[s1_0_modus_ponens_strict_implies_negated]) ).
cnf(l0,plain,
~ modus_ponens_strict_implies,
inference(instantiation,[status(thm)],[145]) ).
fof(modus_ponens_strict_implies,plain,
( modus_ponens_strict_implies
<=> ! [X,Y] :
( ( is_a_theorem(X)
& is_a_theorem(strict_implies(X,Y)) )
=> is_a_theorem(Y) ) ),
file('Axioms/LCL007+0.ax',modus_ponens_strict_implies) ).
cnf(83,plain,
( modus_ponens_strict_implies
| is_a_theorem(strict_implies(sK57,sK58)) ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
cnf(l1,plain,
( modus_ponens_strict_implies
| is_a_theorem(strict_implies(sK57,sK58)) ),
inference(instantiation,[status(thm)],[83]) ).
fof(modus_ponens,plain,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(X)
& is_a_theorem(implies(X,Y)) )
=> is_a_theorem(Y) ) ),
file('Axioms/LCL006+0.ax',modus_ponens) ).
cnf(0,plain,
( ~ modus_ponens
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[modus_ponens]) ).
cnf(l67,plain,
( ~ modus_ponens
| ~ is_a_theorem(necessarily(implies(sK57,sK58)))
| ~ is_a_theorem(implies(necessarily(implies(sK57,sK58)),implies(sK57,sK58)))
| is_a_theorem(implies(sK57,sK58)) ),
inference(instantiation,[status(thm)],[0]) ).
fof(hilbert_modus_ponens,plain,
modus_ponens,
file('Axioms/LCL006+2.ax',hilbert_modus_ponens) ).
cnf(63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).
cnf(l82,plain,
modus_ponens,
inference(instantiation,[status(thm)],[63]) ).
fof(op_strict_implies,plain,
( op_strict_implies
=> ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) ),
file('Axioms/LCL007+1.ax',op_strict_implies) ).
cnf(132,plain,
( ~ op_strict_implies
| strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
inference(cnf,[status(esa)],[op_strict_implies]) ).
cnf(l3,plain,
( ~ op_strict_implies
| strict_implies(sK57,sK58) = necessarily(implies(sK57,sK58)) ),
inference(instantiation,[status(thm)],[132]) ).
fof(s1_0_op_strict_implies,plain,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
cnf(142,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
cnf(l49,plain,
op_strict_implies,
inference(instantiation,[status(thm)],[142]) ).
cnf(l77,plain,
( ~ modus_ponens
| ~ is_a_theorem(sK57)
| ~ is_a_theorem(implies(sK57,sK58))
| is_a_theorem(sK58) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l81,plain,
modus_ponens,
inference(instantiation,[status(thm)],[63]) ).
cnf(84,plain,
( ~ is_a_theorem(sK58)
| modus_ponens_strict_implies ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
cnf(l86,plain,
( ~ is_a_theorem(sK58)
| modus_ponens_strict_implies ),
inference(instantiation,[status(thm)],[84]) ).
fof(axiom_M,plain,
( axiom_M
<=> ! [X] : is_a_theorem(implies(necessarily(X),X)) ),
file('Axioms/LCL007+0.ax',axiom_M) ).
cnf(94,plain,
( ~ axiom_M
| is_a_theorem(implies(necessarily(X0),X0)) ),
inference(cnf,[status(esa)],[axiom_M]) ).
cnf(l85,plain,
( ~ axiom_M
| is_a_theorem(implies(necessarily(implies(sK57,sK58)),implies(sK57,sK58))) ),
inference(instantiation,[status(thm)],[94]) ).
cnf(82,plain,
( modus_ponens_strict_implies
| is_a_theorem(sK57) ),
inference(cnf,[status(esa)],[modus_ponens_strict_implies]) ).
cnf(l100,plain,
( modus_ponens_strict_implies
| is_a_theorem(sK57) ),
inference(instantiation,[status(thm)],[82]) ).
fof(km5_axiom_M,plain,
axiom_M,
file('Axioms/LCL007+2.ax',km5_axiom_M) ).
cnf(137,plain,
axiom_M,
inference(cnf,[status(esa)],[km5_axiom_M]) ).
cnf(l90,plain,
axiom_M,
inference(instantiation,[status(thm)],[137]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l67,l82,l3,l49,l77,l81,l86,l85,l100,l90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL525+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 13:11:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 7
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 8
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.38 % launching worker at depth: 11
% 0.95/0.54 % launching worker at depth: 12
% 3.46/0.83 % SZS status Theorem for theBenchmark
% 3.46/0.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------