%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL512+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 : n006.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 1.96s 0.60s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 29 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 6 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hilbert_equivalence_1,plain,
equivalence_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_1) ).
fof(hilbert_equivalence_1_negated,plain,
~ equivalence_1,
inference(negate_conjecture,[status(cth)],[hilbert_equivalence_1]) ).
cnf(71,plain,
~ equivalence_1,
inference(cnf,[status(esa)],[hilbert_equivalence_1_negated]) ).
cnf(l0,plain,
~ equivalence_1,
inference(instantiation,[status(thm)],[71]) ).
fof(equivalence_1,plain,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('Axioms/LCL006+0.ax',equivalence_1) ).
cnf(28,plain,
( ~ is_a_theorem(implies(equiv(sK27,sK28),implies(sK27,sK28)))
| equivalence_1 ),
inference(cnf,[status(esa)],[equivalence_1]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(equiv(sK27,sK28),implies(sK27,sK28)))
| equivalence_1 ),
inference(instantiation,[status(thm)],[28]) ).
fof(op_equiv,plain,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('Axioms/LCL006+1.ax',op_equiv) ).
cnf(59,plain,
( ~ op_equiv
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(cnf,[status(esa)],[op_equiv]) ).
cnf(l93,plain,
( ~ op_equiv
| equiv(sK27,sK28) = and(implies(sK27,sK28),implies(sK28,sK27)) ),
inference(instantiation,[status(thm)],[59]) ).
fof(hilbert_op_equiv,plain,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_equiv) ).
cnf(70,plain,
op_equiv,
inference(cnf,[status(esa)],[hilbert_op_equiv]) ).
cnf(l96,plain,
op_equiv,
inference(instantiation,[status(thm)],[70]) ).
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(l7,plain,
( ~ kn2
| is_a_theorem(implies(and(implies(sK27,sK28),implies(sK28,sK27)),implies(sK27,sK28))) ),
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(l11,plain,
kn2,
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l93,l96,l7,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL512+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
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 17:13:46 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % launching worker at depth: 1
% 0.07/0.35 % launching worker at depth: 7
% 0.07/0.35 % launching worker at depth: 2
% 0.07/0.35 % launching worker at depth: 4
% 0.07/0.35 % launching worker at depth: 5
% 0.07/0.35 % launching worker at depth: 6
% 0.07/0.35 % launching worker at depth: 8
% 0.07/0.35 % launching worker at depth: 3
% 0.07/0.35 % launching worker at depth: 9
% 0.07/0.35 % launching worker at depth: 10
% 0.07/0.36 % launching worker at depth: 11
% 0.12/0.40 % launching worker at depth: 12
% 1.96/0.60 % SZS status Theorem for theBenchmark
% 1.96/0.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------