%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL469+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 : n010.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 12:13:53 PM UTC 2026
% Result : Theorem 0.88s 0.52s
% Output : CNFRefutation 0.88s
% 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(hilbert_or_1,plain,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).
fof(hilbert_or_1_negated,plain,
~ or_1,
inference(negate_conjecture,[status(cth)],[hilbert_or_1]) ).
cnf(71,plain,
~ or_1,
inference(cnf,[status(esa)],[hilbert_or_1_negated]) ).
cnf(l0,plain,
~ or_1,
inference(instantiation,[status(thm)],[71]) ).
fof(or_1,plain,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('Axioms/LCL006+0.ax',or_1) ).
cnf(22,plain,
( ~ is_a_theorem(implies(sK20,or(sK20,sK21)))
| or_1 ),
inference(cnf,[status(esa)],[or_1]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(sK20,or(sK20,sK21)))
| or_1 ),
inference(instantiation,[status(thm)],[22]) ).
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(l6,plain,
( ~ op_or
| or(sK20,sK21) = not(and(not(sK20),not(sK21))) ),
inference(instantiation,[status(thm)],[55]) ).
fof(luka_op_or,plain,
op_or,
file('Axioms/LCL006+3.ax',luka_op_or) ).
cnf(60,plain,
op_or,
inference(cnf,[status(esa)],[luka_op_or]) ).
cnf(l75,plain,
op_or,
inference(instantiation,[status(thm)],[60]) ).
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(l14,plain,
( ~ op_implies_and
| implies(not(sK20),sK21) = not(and(not(sK20),not(sK21))) ),
inference(instantiation,[status(thm)],[57]) ).
fof(hilbert_op_implies_and,plain,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
cnf(69,plain,
op_implies_and,
inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).
cnf(l80,plain,
op_implies_and,
inference(instantiation,[status(thm)],[69]) ).
fof(cn2,plain,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('Axioms/LCL006+0.ax',cn2) ).
cnf(41,plain,
( ~ cn2
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(cnf,[status(esa)],[cn2]) ).
cnf(l10,plain,
( ~ cn2
| is_a_theorem(implies(sK20,implies(not(sK20),sK21))) ),
inference(instantiation,[status(thm)],[41]) ).
fof(luka_cn2,plain,
cn2,
file('Axioms/LCL006+3.ax',luka_cn2) ).
cnf(65,plain,
cn2,
inference(cnf,[status(esa)],[luka_cn2]) ).
cnf(l15,plain,
cn2,
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l75,l14,l80,l10,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL469+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
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 18:44:23 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % launching worker at depth: 1
% 0.14/0.37 % launching worker at depth: 3
% 0.14/0.37 % launching worker at depth: 7
% 0.14/0.37 % launching worker at depth: 4
% 0.14/0.37 % launching worker at depth: 5
% 0.14/0.37 % launching worker at depth: 6
% 0.14/0.37 % launching worker at depth: 2
% 0.14/0.37 % launching worker at depth: 8
% 0.14/0.37 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 0.14/0.44 % launching worker at depth: 12
% 0.88/0.52 % SZS status Theorem for theBenchmark
% 0.88/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------