%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:48:28 PM UTC 2026
% Result : Theorem 1.24s 1.60s
% Output : Proof 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 95 ( 30 ~; 26 |; 30 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 15 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319,axiom,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
fof(f319_nnf,plain,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( k04_buttercup10303(X319)
| ~ b48_buttercup10305(X319) ) ),
inference(nnf_transformation,[status(thm)],[f319]) ).
fof(f319_sk,plain,
! [X319] :
( ~ b48_buttercup10305(sk0)
& k04_buttercup10303(sk0)
& ( k04_buttercup10303(X319)
| ~ b48_buttercup10305(X319) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f319_nnf]) ).
cnf(c319,plain,
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[status(esa)],[f319_sk]) ).
cnf(c320,plain,
k04_buttercup10303(sk0),
inference(cnf_transformation,[status(esa)],[f319_sk]) ).
fof(f885,conjecture,
( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
fof(f885_neg,negated_conjecture,
~ ( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
inference(negated_conjecture,[status(cth)],[f885]) ).
fof(f885_nnf,plain,
( ? [X1060] :
( k04_buttercup10303(X1060)
& b48_buttercup10305(X1060) )
& ( ! [X1059] :
( b48_buttercup10305(X1059)
| ~ k04_buttercup10303(X1059) )
| ? [X1058] :
( ~ k04_buttercup10303(X1058)
& b48_buttercup10305(X1058) ) )
& ( ! [X1057] :
( k04_buttercup10303(X1057)
| ~ b48_buttercup10305(X1057) )
| ? [X1056] :
( ~ b48_buttercup10305(X1056)
& k04_buttercup10303(X1056) ) )
& ? [X1055] :
( ( k04_buttercup10303(X1055)
& ~ b48_buttercup10305(X1055) )
| ( ~ k04_buttercup10303(X1055)
& b48_buttercup10305(X1055) ) ) ),
inference(nnf_transformation,[status(thm)],[f885_neg]) ).
fof(f885_sk,plain,
! [X1057,X1059] :
( k04_buttercup10303(sk513)
& b48_buttercup10305(sk513)
& ( b48_buttercup10305(X1059)
| ~ k04_buttercup10303(X1059)
| ( ~ k04_buttercup10303(sk512)
& b48_buttercup10305(sk512) ) )
& ( k04_buttercup10303(X1057)
| ~ b48_buttercup10305(X1057)
| ( ~ b48_buttercup10305(sk511)
& k04_buttercup10303(sk511) ) )
& ( ( k04_buttercup10303(sk510)
& ~ b48_buttercup10305(sk510) )
| ( ~ k04_buttercup10303(sk510)
& b48_buttercup10305(sk510) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk510,sk511,sk512,sk513])],[f885_nnf]) ).
cnf(c1815,plain,
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(sk512) ),
inference(cnf_transformation,[status(esa)],[f885_sk]) ).
cnf(p975,plain,
( b48_buttercup10305(sk0)
| b48_buttercup10305(sk512) ),
inference(resolution,[status(thm)],[c320,c1815]) ).
cnf(p1279,plain,
( b48_buttercup10305(sk0)
| k04_buttercup10303(sk512) ),
inference(resolution,[status(thm)],[c319,p975]) ).
cnf(c321,plain,
~ b48_buttercup10305(sk0),
inference(cnf_transformation,[status(esa)],[f319_sk]) ).
cnf(p1289,plain,
k04_buttercup10303(sk512),
inference(resolution,[status(thm)],[p1279,c321]) ).
cnf(c1816,plain,
( b48_buttercup10305(X4)
| ~ k04_buttercup10303(X4)
| ~ k04_buttercup10303(sk512) ),
inference(cnf_transformation,[status(esa)],[f885_sk]) ).
cnf(p1292,plain,
( b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0) ),
inference(resolution,[status(thm)],[p1289,c1816]) ).
cnf(p1296,plain,
b48_buttercup10305(sk0),
inference(resolution,[status(thm)],[p1292,c320]) ).
cnf(p1302,plain,
$false,
inference(resolution,[status(thm)],[p1296,c321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 03:06:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.24/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.24/1.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------