%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL542+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 : n026.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 12:13:59 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : CNFRefutation 0.11s
% 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 : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_0_axiom_m2,plain,
axiom_m2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
fof(s1_0_axiom_m2_negated,plain,
~ axiom_m2,
inference(negate_conjecture,[status(cth)],[s1_0_axiom_m2]) ).
cnf(146,plain,
~ axiom_m2,
inference(cnf,[status(esa)],[s1_0_axiom_m2_negated]) ).
cnf(l0,plain,
~ axiom_m2,
inference(instantiation,[status(thm)],[146]) ).
fof(axiom_m2,plain,
( axiom_m2
<=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) ),
file('Axioms/LCL007+0.ax',axiom_m2) ).
cnf(113,plain,
( ~ is_a_theorem(strict_implies(and(sK79,sK80),sK79))
| axiom_m2 ),
inference(cnf,[status(esa)],[axiom_m2]) ).
cnf(l1,plain,
( ~ is_a_theorem(strict_implies(and(sK79,sK80),sK79))
| axiom_m2 ),
inference(instantiation,[status(thm)],[113]) ).
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(l35,plain,
( ~ op_strict_implies
| strict_implies(and(sK79,sK80),sK79) = necessarily(implies(and(sK79,sK80),sK79)) ),
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(and(sK79,sK80),sK79))
| is_a_theorem(necessarily(implies(and(sK79,sK80),sK79))) ),
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(143,plain,
op_strict_implies,
inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).
cnf(l40,plain,
op_strict_implies,
inference(instantiation,[status(thm)],[143]) ).
fof(and_1,plain,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('Axioms/LCL006+0.ax',and_1) ).
cnf(15,plain,
( ~ and_1
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(cnf,[status(esa)],[and_1]) ).
cnf(l16,plain,
( ~ and_1
| is_a_theorem(implies(and(sK79,sK80),sK79)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(km4b_necessitation,plain,
necessitation,
file('Axioms/LCL007+3.ax',km4b_necessitation) ).
cnf(135,plain,
necessitation,
inference(cnf,[status(esa)],[km4b_necessitation]) ).
cnf(l15,plain,
necessitation,
inference(instantiation,[status(thm)],[135]) ).
fof(hilbert_and_1,plain,
and_1,
file('Axioms/LCL006+2.ax',hilbert_and_1) ).
cnf(68,plain,
and_1,
inference(cnf,[status(esa)],[hilbert_and_1]) ).
cnf(l17,plain,
and_1,
inference(instantiation,[status(thm)],[68]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l35,l13,l40,l16,l15,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL542+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
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 21:52:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 9
% 0.11/0.37 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.11/0.41 % SZS status Theorem for theBenchmark
% 0.11/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------