%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL506+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 : n028.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 12:13:56 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 : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hilbert_and_1,plain,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(hilbert_and_1_negated,plain,
~ and_1,
inference(negate_conjecture,[status(cth)],[hilbert_and_1]) ).
cnf(71,plain,
~ and_1,
inference(cnf,[status(esa)],[hilbert_and_1_negated]) ).
cnf(l0,plain,
~ and_1,
inference(instantiation,[status(thm)],[71]) ).
fof(and_1,plain,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('Axioms/LCL006+0.ax',and_1) ).
cnf(16,plain,
( ~ is_a_theorem(implies(and(sK14,sK15),sK14))
| and_1 ),
inference(cnf,[status(esa)],[and_1]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(and(sK14,sK15),sK14))
| and_1 ),
inference(instantiation,[status(thm)],[16]) ).
fof(kn2,plain,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('Axioms/LCL006+0.ax',kn2) ).
cnf(35,plain,
( ~ kn2
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(cnf,[status(esa)],[kn2]) ).
cnf(l2,plain,
( ~ kn2
| is_a_theorem(implies(and(sK14,sK15),sK14)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(rosser_kn2,plain,
kn2,
file('Axioms/LCL006+5.ax',rosser_kn2) ).
cnf(65,plain,
kn2,
inference(cnf,[status(esa)],[rosser_kn2]) ).
cnf(l3,plain,
kn2,
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL506+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
% 0.09/0.36 % Computer : n028.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 22:29:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 7
% 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
%------------------------------------------------------------------------------