%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL465+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 12:13:53 PM UTC 2026
% Result : Theorem 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hilbert_implies_3,plain,
implies_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(hilbert_implies_3_negated,plain,
~ implies_3,
inference(negate_conjecture,[status(cth)],[hilbert_implies_3]) ).
cnf(71,plain,
~ implies_3,
inference(cnf,[status(esa)],[hilbert_implies_3_negated]) ).
cnf(l0,plain,
~ implies_3,
inference(instantiation,[status(thm)],[71]) ).
fof(implies_3,plain,
( implies_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ),
file('Axioms/LCL006+0.ax',implies_3) ).
cnf(14,plain,
( ~ is_a_theorem(implies(implies(sK11,sK12),implies(implies(sK12,sK13),implies(sK11,sK13))))
| implies_3 ),
inference(cnf,[status(esa)],[implies_3]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(implies(sK11,sK12),implies(implies(sK12,sK13),implies(sK11,sK13))))
| implies_3 ),
inference(instantiation,[status(thm)],[14]) ).
fof(cn1,plain,
( cn1
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) ),
file('Axioms/LCL006+0.ax',cn1) ).
cnf(39,plain,
( ~ cn1
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(cnf,[status(esa)],[cn1]) ).
cnf(l2,plain,
( ~ cn1
| is_a_theorem(implies(implies(sK11,sK12),implies(implies(sK12,sK13),implies(sK11,sK13)))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(luka_cn1,plain,
cn1,
file('Axioms/LCL006+3.ax',luka_cn1) ).
cnf(64,plain,
cn1,
inference(cnf,[status(esa)],[luka_cn1]) ).
cnf(l3,plain,
cn1,
inference(instantiation,[status(thm)],[64]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL465+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 : n013.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 : Fri Sep 4 21:20:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 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: 2
% 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: 8
% 0.09/0.37 % SZS status Theorem for theBenchmark
% 0.09/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------