%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL452+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 : 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 12:13:51 PM UTC 2026
% Result : Theorem 0.96s 0.49s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 38 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 0 &)
% ( 2 <=>; 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 : 14 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(luka_cn2,plain,
cn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).
fof(luka_cn2_negated,plain,
~ cn2,
inference(negate_conjecture,[status(cth)],[luka_cn2]) ).
cnf(81,plain,
~ cn2,
inference(cnf,[status(esa)],[luka_cn2_negated]) ).
cnf(l0,plain,
~ cn2,
inference(instantiation,[status(thm)],[81]) ).
fof(cn2,plain,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('Axioms/LCL006+0.ax',cn2) ).
cnf(42,plain,
( ~ is_a_theorem(implies(sK42,implies(not(sK42),sK43)))
| cn2 ),
inference(cnf,[status(esa)],[cn2]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(sK42,implies(not(sK42),sK43)))
| cn2 ),
inference(instantiation,[status(thm)],[42]) ).
fof(op_implies_and,plain,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('Axioms/LCL006+1.ax',op_implies_and) ).
cnf(57,plain,
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf,[status(esa)],[op_implies_and]) ).
cnf(l40,plain,
( ~ op_implies_and
| implies(not(sK42),sK43) = not(and(not(sK42),not(sK43))) ),
inference(instantiation,[status(thm)],[57]) ).
fof(hilbert_op_implies_and,plain,
op_implies_and,
file('Axioms/LCL006+2.ax',hilbert_op_implies_and) ).
cnf(61,plain,
op_implies_and,
inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).
cnf(l76,plain,
op_implies_and,
inference(instantiation,[status(thm)],[61]) ).
fof(op_or,plain,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('Axioms/LCL006+1.ax',op_or) ).
cnf(55,plain,
( ~ op_or
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(cnf,[status(esa)],[op_or]) ).
cnf(l30,plain,
( ~ op_or
| or(sK42,sK43) = not(and(not(sK42),not(sK43))) ),
inference(instantiation,[status(thm)],[55]) ).
fof(hilbert_op_or,plain,
op_or,
file('Axioms/LCL006+2.ax',hilbert_op_or) ).
cnf(60,plain,
op_or,
inference(cnf,[status(esa)],[hilbert_op_or]) ).
cnf(l78,plain,
op_or,
inference(instantiation,[status(thm)],[60]) ).
fof(or_1,plain,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('Axioms/LCL006+0.ax',or_1) ).
cnf(21,plain,
( ~ or_1
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(cnf,[status(esa)],[or_1]) ).
cnf(l31,plain,
( ~ or_1
| is_a_theorem(implies(sK42,or(sK42,sK43))) ),
inference(instantiation,[status(thm)],[21]) ).
fof(hilbert_or_1,plain,
or_1,
file('Axioms/LCL006+2.ax',hilbert_or_1) ).
cnf(71,plain,
or_1,
inference(cnf,[status(esa)],[hilbert_or_1]) ).
cnf(l34,plain,
or_1,
inference(instantiation,[status(thm)],[71]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l40,l76,l30,l78,l31,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL452+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
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 01:04:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 5
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 2
% 0.08/0.36 % launching worker at depth: 3
% 0.08/0.36 % launching worker at depth: 8
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 4
% 0.08/0.36 % launching worker at depth: 9
% 0.08/0.36 % launching worker at depth: 10
% 0.08/0.37 % launching worker at depth: 11
% 0.12/0.42 % launching worker at depth: 12
% 0.96/0.49 % SZS status Theorem for theBenchmark
% 0.96/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------