%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO578+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 : n011.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 03:42:44 PM UTC 2026
% Result : Theorem 0.08s 15.47s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 7 unt; 5 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 200 ( 76 ~; 70 |; 42 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 35 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,conjecture,
( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
~ ( ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) )
| ? [X146,X147,X148] :
( b48_buttercup10098(X148)
& ~ k04_buttercup10100(X148)
& ~ b48_buttercup10098(X147)
& k04_buttercup10100(X147)
& b48_buttercup10098(X146)
& k04_buttercup10100(X146) )
| ( ? [X145] :
( ~ k04_buttercup10100(X145)
& b48_buttercup10098(X145) )
& ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) ) )
| ( ? [X143] :
( ~ b48_buttercup10098(X143)
& k04_buttercup10100(X143) )
& ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) ) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f171,plain,
( ? [X62] :
( ~ k04_buttercup10100(X62)
& b48_buttercup10098(X62) )
& ! [X61] :
( b48_buttercup10098(X61)
| ~ k04_buttercup10100(X61) ) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f172,plain,
( ~ k04_buttercup10100(sK11_skl)
& b48_buttercup10098(sK11_skl)
& ! [X61] :
( b48_buttercup10098(X61)
| ~ k04_buttercup10100(X61) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X62,sK11_skl)],[f171]) ).
fof(f174,plain,
b48_buttercup10098(sK11_skl),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f175,plain,
~ k04_buttercup10100(sK11_skl),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f319,plain,
( ? [X149] :
( b48_buttercup10098(X149)
& k04_buttercup10100(X149) )
& ! [X146,X147,X148] :
( ~ b48_buttercup10098(X148)
| k04_buttercup10100(X148)
| b48_buttercup10098(X147)
| ~ k04_buttercup10100(X147)
| ~ b48_buttercup10098(X146)
| ~ k04_buttercup10100(X146) )
& ( ! [X145] :
( k04_buttercup10100(X145)
| ~ b48_buttercup10098(X145) )
| ? [X144] :
( ~ b48_buttercup10098(X144)
& k04_buttercup10100(X144) ) )
& ( ! [X143] :
( b48_buttercup10098(X143)
| ~ k04_buttercup10100(X143) )
| ? [X142] :
( ~ k04_buttercup10100(X142)
& b48_buttercup10098(X142) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f320,plain,
( ? [X149] :
( b48_buttercup10098(X149)
& k04_buttercup10100(X149) )
& ! [X148] :
( ~ b48_buttercup10098(X148)
| k04_buttercup10100(X148)
| ! [X147] :
( b48_buttercup10098(X147)
| ~ k04_buttercup10100(X147)
| ! [X146] :
( ~ b48_buttercup10098(X146)
| ~ k04_buttercup10100(X146) ) ) )
& ( ! [X145] :
( k04_buttercup10100(X145)
| ~ b48_buttercup10098(X145) )
| ? [X144] :
( ~ b48_buttercup10098(X144)
& k04_buttercup10100(X144) ) )
& ( ! [X143] :
( b48_buttercup10098(X143)
| ~ k04_buttercup10100(X143) )
| ? [X142] :
( ~ k04_buttercup10100(X142)
& b48_buttercup10098(X142) ) ) ),
inference(miniscoping,[status(thm)],[f319]) ).
fof(f321,plain,
( b48_buttercup10098(sK29_skl)
& k04_buttercup10100(sK29_skl)
& ! [X148] :
( ~ b48_buttercup10098(X148)
| k04_buttercup10100(X148)
| ! [X147] :
( b48_buttercup10098(X147)
| ~ k04_buttercup10100(X147)
| ! [X146] :
( ~ b48_buttercup10098(X146)
| ~ k04_buttercup10100(X146) ) ) )
& ( ! [X145] :
( k04_buttercup10100(X145)
| ~ b48_buttercup10098(X145) )
| ( ~ b48_buttercup10098(sK28_skl)
& k04_buttercup10100(sK28_skl) ) )
& ( ! [X143] :
( b48_buttercup10098(X143)
| ~ k04_buttercup10100(X143) )
| ( ~ k04_buttercup10100(sK27_skl)
& b48_buttercup10098(sK27_skl) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl,sK28_skl,sK29_skl]),skolemize(X142,sK27_skl),skolemize(X144,sK28_skl),skolemize(X149,sK29_skl)],[f320]) ).
fof(f324,plain,
! [X0] :
( k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0)
| k04_buttercup10100(sK28_skl) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f325,plain,
! [X0] :
( k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0)
| ~ b48_buttercup10098(sK28_skl) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f326,plain,
! [X0,X1,X2] :
( ~ b48_buttercup10098(X2)
| k04_buttercup10100(X2)
| b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f327,plain,
k04_buttercup10100(sK29_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f328,plain,
b48_buttercup10098(sK29_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f591,definition,
! [X0] :
( sQ36_spl
<=> ( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f592,plain,
! [X0] :
( ~ sQ36_spl
| b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f599,definition,
( sQ38_spl
<=> k04_buttercup10100(sK28_skl) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ38_spl
| k04_buttercup10100(sK28_skl) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
! [X0] :
( sQ39_spl
<=> ( k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f603,plain,
! [X0] :
( ~ sQ39_spl
| k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f324,f599,f602]) ).
fof(f606,definition,
( sQ40_spl
<=> b48_buttercup10098(sK28_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ40_spl
| ~ b48_buttercup10098(sK28_skl) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ39_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f325,f606,f602]) ).
fof(f610,definition,
! [X0] :
( sQ41_spl
<=> ( ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f611,plain,
! [X0] :
( ~ sQ41_spl
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( sQ39_spl
| sQ36_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f326,f610,f591,f602]) ).
fof(f838,plain,
( ~ sQ39_spl
| ~ b48_buttercup10098(sK11_skl) ),
inference(resolution,[status(thm)],[f175,f603]) ).
fof(f839,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f838,f174]) ).
fof(f840,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f843,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| b48_buttercup10098(sK28_skl) ),
inference(resolution,[status(thm)],[f600,f592]) ).
fof(f846,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f608]) ).
fof(f847,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f854,plain,
( ~ sQ41_spl
| ~ b48_buttercup10098(sK29_skl) ),
inference(resolution,[status(thm)],[f611,f327]) ).
fof(f858,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f328]) ).
fof(f859,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
$false,
inference(sat_refutation,[status(thm)],[f605,f609,f613,f840,f847,f859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.43 % CPULimit : 300
% 0.08/15.43 % WCLimit : 300
% 0.08/15.43 % DateTime : Mon Sep 21 11:55:36 UTC 2026
% 0.08/15.44 % CPUTime :
% 0.08/15.45 % Drodi V4.1.1
% 0.08/15.47 % Refutation found
% 0.08/15.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/15.49 % Elapsed time: 0.050499 seconds
% 0.08/15.49 % CPU time: 0.134383 seconds
% 0.08/15.49 % Total memory used: 25.996 MB
% 0.08/15.49 % Net memory used: 25.778 MB
%------------------------------------------------------------------------------