%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 03:42:45 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 1 unt; 5 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 156 ( 54 ~; 53 |; 34 &)
% ( 7 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 22 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,axiom,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f886,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/sandbox/benchmark/theBenchmark.p') ).
fof(f887,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)],[f886]) ).
fof(f1526,plain,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( k04_buttercup10303(X319)
| ~ b48_buttercup10305(X319) ) ),
inference(pre_NNF_transformation,[status(thm)],[f320]) ).
fof(f1527,plain,
( ~ b48_buttercup10305(sK0_skl)
& k04_buttercup10303(sK0_skl)
& ! [X319] :
( k04_buttercup10303(X319)
| ~ b48_buttercup10305(X319) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X320,sK0_skl)],[f1526]) ).
fof(f1528,plain,
! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[status(thm)],[f1527]) ).
fof(f3200,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] :
( b48_buttercup10305(X1055)
<~> k04_buttercup10303(X1055) ) ),
inference(pre_NNF_transformation,[status(thm)],[f887]) ).
fof(f3201,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)],[f3200]) ).
fof(f3202,plain,
( k04_buttercup10303(sK465_skl)
& b48_buttercup10305(sK465_skl)
& ( ! [X1059] :
( b48_buttercup10305(X1059)
| ~ k04_buttercup10303(X1059) )
| ( ~ k04_buttercup10303(sK464_skl)
& b48_buttercup10305(sK464_skl) ) )
& ( ! [X1057] :
( k04_buttercup10303(X1057)
| ~ b48_buttercup10305(X1057) )
| ( ~ b48_buttercup10305(sK463_skl)
& k04_buttercup10303(sK463_skl) ) )
& ( ~ k04_buttercup10303(sK462_skl)
| ~ b48_buttercup10305(sK462_skl) )
& ( k04_buttercup10303(sK462_skl)
| b48_buttercup10305(sK462_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK462_skl,sK463_skl,sK464_skl,sK465_skl]),skolemize(X1055,sK462_skl),skolemize(X1056,sK463_skl),skolemize(X1058,sK464_skl),skolemize(X1060,sK465_skl)],[f3201]) ).
fof(f3203,plain,
( k04_buttercup10303(sK462_skl)
| b48_buttercup10305(sK462_skl) ),
inference(cnf_transformation,[status(thm)],[f3202]) ).
fof(f3204,plain,
( ~ k04_buttercup10303(sK462_skl)
| ~ b48_buttercup10305(sK462_skl) ),
inference(cnf_transformation,[status(thm)],[f3202]) ).
fof(f3207,plain,
! [X0] :
( b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0)
| b48_buttercup10305(sK464_skl) ),
inference(cnf_transformation,[status(thm)],[f3202]) ).
fof(f3208,plain,
! [X0] :
( b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0)
| ~ k04_buttercup10303(sK464_skl) ),
inference(cnf_transformation,[status(thm)],[f3202]) ).
fof(f3655,definition,
( sQ60_spl
<=> b48_buttercup10305(sK462_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f3657,plain,
( sQ60_spl
| ~ b48_buttercup10305(sK462_skl) ),
inference(component_clause,[status(thm)],[f3655]) ).
fof(f3658,definition,
( sQ61_spl
<=> k04_buttercup10303(sK462_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f3659,plain,
( ~ sQ61_spl
| k04_buttercup10303(sK462_skl) ),
inference(component_clause,[status(thm)],[f3658]) ).
fof(f3660,plain,
( sQ61_spl
| ~ k04_buttercup10303(sK462_skl) ),
inference(component_clause,[status(thm)],[f3658]) ).
fof(f3661,plain,
( sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3203,f3655,f3658]) ).
fof(f3662,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3204,f3655,f3658]) ).
fof(f3674,definition,
( sQ65_spl
<=> b48_buttercup10305(sK464_skl) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f3677,definition,
! [X0] :
( sQ66_spl
<=> ( b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f3678,plain,
! [X0] :
( ~ sQ66_spl
| b48_buttercup10305(X0)
| ~ k04_buttercup10303(X0) ),
inference(component_clause,[status(thm)],[f3677]) ).
fof(f3680,plain,
( sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f3207,f3674,f3677]) ).
fof(f3681,definition,
( sQ67_spl
<=> k04_buttercup10303(sK464_skl) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f3683,plain,
( sQ67_spl
| ~ k04_buttercup10303(sK464_skl) ),
inference(component_clause,[status(thm)],[f3681]) ).
fof(f3684,plain,
( sQ66_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3208,f3681,f3677]) ).
fof(f4009,plain,
( sQ60_spl
| ~ sQ66_spl
| ~ k04_buttercup10303(sK462_skl) ),
inference(resolution,[status(thm)],[f3678,f3657]) ).
fof(f4010,plain,
( sQ60_spl
| ~ sQ66_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4009,f3659]) ).
fof(f4011,plain,
( sQ60_spl
| ~ sQ66_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4017,plain,
( sQ61_spl
| ~ b48_buttercup10305(sK462_skl) ),
inference(resolution,[status(thm)],[f1528,f3660]) ).
fof(f4018,plain,
( sQ61_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4017,f3655,f3658]) ).
fof(f4019,plain,
( sQ67_spl
| ~ b48_buttercup10305(sK464_skl) ),
inference(resolution,[status(thm)],[f3683,f1528]) ).
fof(f4020,plain,
( sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4019,f3674,f3681]) ).
fof(f4021,plain,
$false,
inference(sat_refutation,[status(thm)],[f3661,f3662,f3680,f3684,f4011,f4018,f4020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:56:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.46 % Elapsed time: 0.090485 seconds
% 0.09/0.46 % CPU time: 0.247025 seconds
% 0.09/0.46 % Total memory used: 72.642 MB
% 0.09/0.46 % Net memory used: 72.021 MB
%------------------------------------------------------------------------------