%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:13:58 PM UTC 2026
% Result : Theorem 0.08s 0.41s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_0_m10_axiom_m10,plain,
axiom_m10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_m10_axiom_m10) ).
fof(s1_0_m10_axiom_m10_negated,plain,
~ axiom_m10,
inference(negate_conjecture,[status(cth)],[s1_0_m10_axiom_m10]) ).
cnf(145,plain,
~ axiom_m10,
inference(cnf,[status(esa)],[s1_0_m10_axiom_m10_negated]) ).
cnf(l0,plain,
~ axiom_m10,
inference(instantiation,[status(thm)],[145]) ).
fof(axiom_m10,plain,
( axiom_m10
<=> ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X)))) ),
file('Axioms/LCL007+0.ax',axiom_m10) ).
cnf(129,plain,
( ~ is_a_theorem(strict_implies(possibly(sK94),necessarily(possibly(sK94))))
| axiom_m10 ),
inference(cnf,[status(esa)],[axiom_m10]) ).
cnf(l1,plain,
( ~ is_a_theorem(strict_implies(possibly(sK94),necessarily(possibly(sK94))))
| axiom_m10 ),
inference(instantiation,[status(thm)],[129]) ).
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(l34,plain,
( ~ op_strict_implies
| strict_implies(possibly(sK94),necessarily(possibly(sK94))) = necessarily(implies(possibly(sK94),necessarily(possibly(sK94)))) ),
inference(instantiation,[status(thm)],[132]) ).
fof(necessitation,plain,
( necessitation
<=> ! [X] :
( is_a_theorem(X)
=> is_a_theorem(necessarily(X)) ) ),
file('Axioms/LCL007+0.ax',necessitation) ).
cnf(78,plain,
( ~ necessitation
| ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0)) ),
inference(cnf,[status(esa)],[necessitation]) ).
cnf(l13,plain,
( ~ necessitation
| ~ is_a_theorem(implies(possibly(sK94),necessarily(possibly(sK94))))
| is_a_theorem(necessarily(implies(possibly(sK94),necessarily(possibly(sK94))))) ),
inference(instantiation,[status(thm)],[78]) ).
fof(s1_0_op_strict_implies,plain,
op_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
cnf(142,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
cnf(l35,plain,
op_strict_implies,
inference(instantiation,[status(thm)],[142]) ).
fof(km5_necessitation,plain,
necessitation,
file('Axioms/LCL007+2.ax',km5_necessitation) ).
cnf(135,plain,
necessitation,
inference(cnf,[status(esa)],[km5_necessitation]) ).
cnf(l15,plain,
necessitation,
inference(instantiation,[status(thm)],[135]) ).
fof(axiom_5,plain,
( axiom_5
<=> ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) ),
file('Axioms/LCL007+0.ax',axiom_5) ).
cnf(100,plain,
( ~ axiom_5
| is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l16,plain,
( ~ axiom_5
| is_a_theorem(implies(possibly(sK94),necessarily(possibly(sK94)))) ),
inference(instantiation,[status(thm)],[100]) ).
fof(km5_axiom_5,plain,
axiom_5,
file('Axioms/LCL007+2.ax',km5_axiom_5) ).
cnf(138,plain,
axiom_5,
inference(cnf,[status(esa)],[km5_axiom_5]) ).
cnf(l17,plain,
axiom_5,
inference(instantiation,[status(thm)],[138]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l34,l13,l35,l15,l16,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.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 02:49:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % launching worker at depth: 1
% 0.08/0.37 % launching worker at depth: 6
% 0.08/0.37 % launching worker at depth: 7
% 0.08/0.37 % launching worker at depth: 4
% 0.08/0.37 % launching worker at depth: 5
% 0.08/0.37 % launching worker at depth: 2
% 0.08/0.37 % launching worker at depth: 3
% 0.08/0.37 % launching worker at depth: 8
% 0.08/0.37 % launching worker at depth: 9
% 0.08/0.37 % launching worker at depth: 10
% 0.08/0.38 % launching worker at depth: 11
% 0.08/0.41 % SZS status Theorem for theBenchmark
% 0.08/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------