%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL483+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 : n002.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 3.46s 0.88s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 47 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hilbert_modus_tollens,plain,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens) ).
fof(hilbert_modus_tollens_negated,plain,
~ modus_tollens,
inference(negate_conjecture,[status(cth)],[hilbert_modus_tollens]) ).
cnf(73,plain,
~ modus_tollens,
inference(cnf,[status(esa)],[hilbert_modus_tollens_negated]) ).
cnf(l0,plain,
~ modus_tollens,
inference(instantiation,[status(thm)],[73]) ).
fof(modus_tollens,plain,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('Axioms/LCL006+0.ax',modus_tollens) ).
cnf(8,plain,
( ~ is_a_theorem(implies(implies(not(sK6),not(sK5)),implies(sK5,sK6)))
| modus_tollens ),
inference(cnf,[status(esa)],[modus_tollens]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(implies(not(sK6),not(sK5)),implies(sK5,sK6)))
| modus_tollens ),
inference(instantiation,[status(thm)],[8]) ).
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(l17,plain,
( ~ op_implies_or
| implies(sK5,sK6) = or(not(sK5),sK6) ),
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(l23,plain,
op_implies_or,
inference(instantiation,[status(thm)],[60]) ).
fof(op_or,plain,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('Axioms/LCL006+1.ax',op_or) ).
cnf(55,plain,
( ~ op_or
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(cnf,[status(esa)],[op_or]) ).
cnf(l15,plain,
( ~ op_or
| or(sK6,not(sK5)) = not(and(not(sK6),not(not(sK5)))) ),
inference(instantiation,[status(thm)],[55]) ).
fof(op_implies_and,plain,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('Axioms/LCL006+1.ax',op_implies_and) ).
cnf(57,plain,
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf,[status(esa)],[op_implies_and]) ).
cnf(l29,plain,
( ~ op_implies_and
| implies(not(sK6),not(sK5)) = not(and(not(sK6),not(not(sK5)))) ),
inference(instantiation,[status(thm)],[57]) ).
fof(hilbert_op_or,plain,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
cnf(70,plain,
op_or,
inference(cnf,[status(esa)],[hilbert_op_or]) ).
cnf(l21,plain,
op_or,
inference(instantiation,[status(thm)],[70]) ).
fof(r3,plain,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('Axioms/LCL006+0.ax',r3) ).
cnf(49,plain,
( ~ r3
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(cnf,[status(esa)],[r3]) ).
cnf(l9,plain,
( ~ r3
| is_a_theorem(implies(or(sK6,not(sK5)),or(not(sK5),sK6))) ),
inference(instantiation,[status(thm)],[49]) ).
fof(principia_r3,plain,
r3,
file('Axioms/LCL006+4.ax',principia_r3) ).
cnf(66,plain,
r3,
inference(cnf,[status(esa)],[principia_r3]) ).
cnf(l11,plain,
r3,
inference(instantiation,[status(thm)],[66]) ).
fof(hilbert_op_implies_and,plain,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
cnf(71,plain,
op_implies_and,
inference(cnf,[status(esa)],[hilbert_op_implies_and]) ).
cnf(l104,plain,
op_implies_and,
inference(instantiation,[status(thm)],[71]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l17,l23,l15,l29,l21,l9,l11,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL483+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 10:32:35 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % launching worker at depth: 1
% 0.13/0.37 % launching worker at depth: 4
% 0.13/0.37 % launching worker at depth: 6
% 0.13/0.37 % launching worker at depth: 5
% 0.13/0.37 % launching worker at depth: 2
% 0.13/0.37 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 3
% 0.13/0.37 % launching worker at depth: 8
% 0.13/0.37 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.13/0.40 % launching worker at depth: 12
% 3.46/0.88 % SZS status Theorem for theBenchmark
% 3.46/0.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------