%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL484+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 : n007.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 12:13:54 PM UTC 2026
% Result : Theorem 3.48s 0.84s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 10 |; 0 &)
% ( 3 <=>; 1 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hilbert_implies_1,plain,
implies_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1) ).
fof(hilbert_implies_1_negated,plain,
~ implies_1,
inference(negate_conjecture,[status(cth)],[hilbert_implies_1]) ).
cnf(73,plain,
~ implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1_negated]) ).
cnf(l0,plain,
~ implies_1,
inference(instantiation,[status(thm)],[73]) ).
fof(implies_1,plain,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('Axioms/LCL006+0.ax',implies_1) ).
cnf(10,plain,
( ~ is_a_theorem(implies(sK7,implies(sK8,sK7)))
| implies_1 ),
inference(cnf,[status(esa)],[implies_1]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(sK7,implies(sK8,sK7)))
| implies_1 ),
inference(instantiation,[status(thm)],[10]) ).
fof(op_implies_or,plain,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('Axioms/LCL006+1.ax',op_implies_or) ).
cnf(58,plain,
( ~ op_implies_or
| implies(X0,X1) = or(not(X0),X1) ),
inference(cnf,[status(esa)],[op_implies_or]) ).
cnf(l96,plain,
( ~ op_implies_or
| implies(sK8,sK7) = or(not(sK8),sK7) ),
inference(instantiation,[status(thm)],[58]) ).
fof(principia_op_implies_or,plain,
op_implies_or,
file('Axioms/LCL006+4.ax',principia_op_implies_or) ).
cnf(60,plain,
op_implies_or,
inference(cnf,[status(esa)],[principia_op_implies_or]) ).
cnf(l97,plain,
op_implies_or,
inference(instantiation,[status(thm)],[60]) ).
fof(or_2,plain,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('Axioms/LCL006+0.ax',or_2) ).
cnf(23,plain,
( ~ or_2
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(cnf,[status(esa)],[or_2]) ).
cnf(l7,plain,
( ~ or_2
| is_a_theorem(implies(sK7,or(not(sK8),sK7))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
( ~ is_a_theorem(implies(sK23,or(sK22,sK23)))
| or_2 ),
inference(cnf,[status(esa)],[or_2]) ).
cnf(l11,plain,
( ~ is_a_theorem(implies(sK23,or(sK22,sK23)))
| or_2 ),
inference(instantiation,[status(thm)],[24]) ).
fof(r2,plain,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('Axioms/LCL006+0.ax',r2) ).
cnf(47,plain,
( ~ r2
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(cnf,[status(esa)],[r2]) ).
cnf(l16,plain,
( ~ r2
| is_a_theorem(implies(sK23,or(sK22,sK23))) ),
inference(instantiation,[status(thm)],[47]) ).
fof(principia_r2,plain,
r2,
file('Axioms/LCL006+4.ax',principia_r2) ).
cnf(65,plain,
r2,
inference(cnf,[status(esa)],[principia_r2]) ).
cnf(l81,plain,
r2,
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l96,l97,l7,l11,l16,l81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL484+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 : n007.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 : Sat Sep 5 09:41:39 UTC 2026
% 0.09/0.36 % 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 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.37 % launching worker at depth: 11
% 0.09/0.41 % launching worker at depth: 12
% 3.48/0.84 % SZS status Theorem for theBenchmark
% 3.48/0.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------