%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL454+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 : n009.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 12:13:51 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 21 |; 1 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(principia_r1,plain,
r1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r1) ).
fof(principia_r1_negated,plain,
~ r1,
inference(negate_conjecture,[status(cth)],[principia_r1]) ).
cnf(81,plain,
~ r1,
inference(cnf,[status(esa)],[principia_r1_negated]) ).
cnf(l0,plain,
~ r1,
inference(instantiation,[status(thm)],[81]) ).
fof(r1,plain,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('Axioms/LCL006+0.ax',r1) ).
cnf(46,plain,
( ~ is_a_theorem(implies(or(sK45,sK45),sK45))
| r1 ),
inference(cnf,[status(esa)],[r1]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(or(sK45,sK45),sK45))
| r1 ),
inference(instantiation,[status(thm)],[46]) ).
fof(modus_ponens,plain,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(X)
& is_a_theorem(implies(X,Y)) )
=> is_a_theorem(Y) ) ),
file('Axioms/LCL006+0.ax',modus_ponens) ).
cnf(0,plain,
( ~ modus_ponens
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[modus_ponens]) ).
cnf(l2,plain,
( ~ modus_ponens
| ~ is_a_theorem(implies(sK45,sK45))
| ~ is_a_theorem(implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45)))
| is_a_theorem(implies(or(sK45,sK45),sK45)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ modus_ponens
| ~ is_a_theorem(implies(implies(sK45,sK45),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45))))
| ~ is_a_theorem(implies(implies(implies(sK45,sK45),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45))),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45))))
| is_a_theorem(implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45))) ),
inference(instantiation,[status(thm)],[0]) ).
fof(hilbert_modus_ponens,plain,
modus_ponens,
file('Axioms/LCL006+2.ax',hilbert_modus_ponens) ).
cnf(63,plain,
modus_ponens,
inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).
cnf(l3,plain,
modus_ponens,
inference(instantiation,[status(thm)],[63]) ).
cnf(l7,plain,
modus_ponens,
inference(instantiation,[status(thm)],[63]) ).
fof(implies_2,plain,
( implies_2
<=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('Axioms/LCL006+0.ax',implies_2) ).
cnf(11,plain,
( ~ implies_2
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(cnf,[status(esa)],[implies_2]) ).
cnf(l8,plain,
( ~ implies_2
| is_a_theorem(implies(implies(implies(sK45,sK45),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45))),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45)))) ),
inference(instantiation,[status(thm)],[11]) ).
fof(hilbert_implies_2,plain,
implies_2,
file('Axioms/LCL006+2.ax',hilbert_implies_2) ).
cnf(66,plain,
implies_2,
inference(cnf,[status(esa)],[hilbert_implies_2]) ).
cnf(l18,plain,
implies_2,
inference(instantiation,[status(thm)],[66]) ).
fof(or_3,plain,
( or_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) ),
file('Axioms/LCL006+0.ax',or_3) ).
cnf(25,plain,
( ~ or_3
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))) ),
inference(cnf,[status(esa)],[or_3]) ).
cnf(l9,plain,
( ~ or_3
| is_a_theorem(implies(implies(sK45,sK45),implies(implies(sK45,sK45),implies(or(sK45,sK45),sK45)))) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l4,plain,
( ~ modus_ponens
| ~ is_a_theorem(implies(sK45,implies(sK45,sK45)))
| ~ is_a_theorem(implies(implies(sK45,implies(sK45,sK45)),implies(sK45,sK45)))
| is_a_theorem(implies(sK45,sK45)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l22,plain,
( ~ implies_2
| is_a_theorem(implies(implies(sK45,implies(sK45,sK45)),implies(sK45,sK45))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l6,plain,
modus_ponens,
inference(instantiation,[status(thm)],[63]) ).
fof(hilbert_or_3,plain,
or_3,
file('Axioms/LCL006+2.ax',hilbert_or_3) ).
cnf(73,plain,
or_3,
inference(cnf,[status(esa)],[hilbert_or_3]) ).
cnf(l10,plain,
or_3,
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(9,plain,
( ~ implies_1
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(cnf,[status(esa)],[implies_1]) ).
cnf(l20,plain,
( ~ implies_1
| is_a_theorem(implies(sK45,implies(sK45,sK45))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l24,plain,
implies_2,
inference(instantiation,[status(thm)],[66]) ).
fof(hilbert_implies_1,plain,
implies_1,
file('Axioms/LCL006+2.ax',hilbert_implies_1) ).
cnf(65,plain,
implies_1,
inference(cnf,[status(esa)],[hilbert_implies_1]) ).
cnf(l26,plain,
implies_1,
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l3,l7,l8,l18,l9,l4,l22,l6,l10,l20,l24,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL454+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
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 21:40:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % launching worker at depth: 1
% 0.11/0.38 % launching worker at depth: 6
% 0.11/0.38 % launching worker at depth: 3
% 0.11/0.38 % launching worker at depth: 4
% 0.11/0.38 % launching worker at depth: 5
% 0.11/0.38 % launching worker at depth: 7
% 0.11/0.38 % launching worker at depth: 2
% 0.11/0.38 % launching worker at depth: 8
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------