%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:10:18 PM UTC 2026
% Result : Theorem 0.10s 0.60s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 4 unt; 4 def)
% Number of atoms : 94 ( 4 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 95 ( 29 ~; 34 |; 28 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 4 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,hypothesis,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xc)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xb)
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) )
| aReductOfIn0(xb,xa,xR) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
? [W0] :
( ( sdtmndtasgtdt0(W0,xR,xb)
| sdtmndtplgtdt0(W0,xR,xb)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,xb)
& aReductOfIn0(W1,W0,xR)
& aElement0(W1) )
| aReductOfIn0(xb,W0,xR)
| W0 = xb )
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ? [W0] :
( ( sdtmndtasgtdt0(W0,xR,xb)
| sdtmndtplgtdt0(W0,xR,xb)
| ? [W1] :
( sdtmndtplgtdt0(W1,xR,xb)
& aReductOfIn0(W1,W0,xR)
& aElement0(W1) )
| aReductOfIn0(xb,W0,xR)
| W0 = xb )
& aReductOfIn0(W0,xa,xR)
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f117,plain,
aElement0(xb),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f178,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK20_skl,xR,xc)
& aReductOfIn0(sK20_skl,xa,xR)
& aElement0(sK20_skl) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sK19_skl,xR,xb)
& aReductOfIn0(sK19_skl,xa,xR)
& aElement0(sK19_skl) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(W0,sK19_skl),skolemize(W0,sK20_skl)],[f19]) ).
fof(f179,plain,
( aElement0(sK19_skl)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( aReductOfIn0(sK19_skl,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f181,plain,
( sdtmndtplgtdt0(sK19_skl,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f187,plain,
! [W0] :
( ( ~ sdtmndtasgtdt0(W0,xR,xb)
& ~ sdtmndtplgtdt0(W0,xR,xb)
& ! [W1] :
( ~ sdtmndtplgtdt0(W1,xR,xb)
| ~ aReductOfIn0(W1,W0,xR)
| ~ aElement0(W1) )
& ~ aReductOfIn0(xb,W0,xR)
& W0 != xb )
| ~ aReductOfIn0(W0,xa,xR)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f188,plain,
! [X0] :
( X0 != xb
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f204,definition,
( sQ0_spl
<=> aReductOfIn0(xb,xa,xR) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ0_spl
| aReductOfIn0(xb,xa,xR) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ1_spl
<=> aElement0(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f179,f204,f207]) ).
fof(f211,definition,
( sQ2_spl
<=> aReductOfIn0(sK19_skl,xa,xR) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f180,f204,f211]) ).
fof(f215,definition,
( sQ3_spl
<=> sdtmndtplgtdt0(sK19_skl,xR,xb) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ3_spl
| sdtmndtplgtdt0(sK19_skl,xR,xb) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f181,f204,f215]) ).
fof(f258,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(destructive_equality_resolution,[status(thm)],[f188]) ).
fof(f260,plain,
~ aReductOfIn0(xb,xa,xR),
inference(backward_subsumption_resolution,[status(thm)],[f258,f117]) ).
fof(f281,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f260]) ).
fof(f282,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( ~ sQ3_spl
| ~ aReductOfIn0(sK19_skl,xa,xR)
| ~ aElement0(sK19_skl) ),
inference(resolution,[status(thm)],[f216,f191]) ).
fof(f289,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f284,f207,f211,f215]) ).
fof(f290,plain,
$false,
inference(sat_refutation,[status(thm)],[f210,f214,f218,f282,f289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n010.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 14:14:42 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.62 % Elapsed time: 0.040192 seconds
% 0.10/0.62 % CPU time: 0.088727 seconds
% 0.10/0.62 % Total memory used: 16.308 MB
% 0.10/0.62 % Net memory used: 16.287 MB
%------------------------------------------------------------------------------