%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 02:02:11 PM UTC 2026
% Result : Theorem 0.14s 1.95s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 10 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn2) ).
fof(f16_nnf,plain,
( ( ? [P,Q] : ~ is_a_theorem(implies(and(P,Q),P))
| kn2 )
& ( ! [P,Q] : is_a_theorem(implies(and(P,Q),P))
| ~ kn2 ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [P,Q] :
( ( ~ is_a_theorem(implies(and(sk33,sk34),sk33))
| kn2 )
& ( is_a_theorem(implies(and(P,Q),P))
| ~ kn2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk33,sk34])],[f16_nnf]) ).
cnf(c35,plain,
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f36,axiom,
kn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f36_nnf,plain,
kn2,
inference(nnf_transformation,[status(thm)],[f36]) ).
cnf(c65,plain,
kn2,
inference(cnf_transformation,[status(esa)],[f36_nnf]) ).
cnf(p75,plain,
is_a_theorem(implies(and(X0,X1),X0)),
inference(resolution,[status(thm)],[c35,c65]) ).
fof(f6,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).
fof(f6_nnf,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(and(X,Y),X))
| and_1 )
& ( ! [X,Y] : is_a_theorem(implies(and(X,Y),X))
| ~ and_1 ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ( ~ is_a_theorem(implies(and(sk13,sk14),sk13))
| and_1 )
& ( is_a_theorem(implies(and(X,Y),X))
| ~ and_1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13,sk14])],[f6_nnf]) ).
cnf(c16,plain,
( ~ is_a_theorem(implies(and(sk13,sk14),sk13))
| and_1 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p76,plain,
and_1,
inference(resolution,[status(thm)],[p75,c16]) ).
fof(f42,conjecture,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f42_neg,negated_conjecture,
~ and_1,
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f42_nnf,plain,
~ and_1,
inference(nnf_transformation,[status(thm)],[f42_neg]) ).
fof(f42_sk,plain,
~ and_1,
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c71,plain,
~ and_1,
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(p77,plain,
$false,
inference(resolution,[status(thm)],[p76,c71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL506+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/1.21 % Computer : n010.cluster.edu
% 0.09/1.21 % Model : x86_64 x86_64
% 0.09/1.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.21 % Memory : 8046.5625MB
% 0.09/1.21 % OS : Linux 6.8.0-71-generic
% 0.09/1.21 % CPULimit : 300
% 0.09/1.21 % WCLimit : 300
% 0.09/1.21 % DateTime : Wed Sep 23 23:36:40 UTC 2026
% 0.09/1.22 % CPUTime :
% 0.09/1.22 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------