%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM021+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 : n017.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 12:10:19 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 7 unt; 3 def)
% Number of atoms : 114 ( 13 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 110 ( 23 ~; 35 |; 49 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 11 ( 4 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,hypothesis,
( aNormalFormOfIn0(xd,xw,xR)
& ~ ? [W0] : aReductOfIn0(W0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xd)
& aReductOfIn0(W0,xw,xR)
& aElement0(W0) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xx)
& aReductOfIn0(W0,xd,xR)
& aElement0(W0) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xx)
& aReductOfIn0(W0,xb,xR)
& aElement0(W0) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [W0] :
( sdtmndtplgtdt0(W0,xR,xd)
& aReductOfIn0(W0,xb,xR)
& aElement0(W0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [W0] :
( sdtmndtplgtdt0(W0,xR,xd)
& aReductOfIn0(W0,xb,xR)
& aElement0(W0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f220,plain,
( aNormalFormOfIn0(xd,xw,xR)
& ! [W0] : ~ aReductOfIn0(W0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [W0] :
( sdtmndtplgtdt0(W0,xR,xd)
& aReductOfIn0(W0,xw,xR)
& aElement0(W0) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f221,plain,
( aNormalFormOfIn0(xd,xw,xR)
& ! [W0] : ~ aReductOfIn0(W0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(sK25_skl,xR,xd)
& aReductOfIn0(sK25_skl,xw,xR)
& aElement0(sK25_skl) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(W0,sK25_skl)],[f220]) ).
fof(f228,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f230,plain,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(sK27_skl,xR,xx)
& aReductOfIn0(sK27_skl,xd,xR)
& aElement0(sK27_skl) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(sK26_skl,xR,xx)
& aReductOfIn0(sK26_skl,xb,xR)
& aElement0(sK26_skl) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(W0,sK26_skl),skolemize(W0,sK27_skl)],[f24]) ).
fof(f236,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f238,plain,
( aReductOfIn0(sK27_skl,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f242,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ! [W0] :
( ~ sdtmndtplgtdt0(W0,xR,xd)
| ~ aReductOfIn0(W0,xb,xR)
| ~ aElement0(W0) )
& ~ aReductOfIn0(xd,xb,xR)
& xb != xd ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f247,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f421,definition,
( sQ44_spl
<=> xd = xx ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ44_spl
| xd = xx ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ45_spl
<=> aReductOfIn0(xx,xd,xR) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ45_spl
| aReductOfIn0(xx,xd,xR) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f431,definition,
( sQ47_spl
<=> aReductOfIn0(sK27_skl,xd,xR) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ47_spl
| aReductOfIn0(sK27_skl,xd,xR) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ47_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f238,f421,f424,f431]) ).
fof(f473,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f228]) ).
fof(f474,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f679,plain,
( ~ sQ44_spl
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(forward_demodulation,[status(thm)],[f422,f236]) ).
fof(f680,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f247]) ).
fof(f681,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f228]) ).
fof(f683,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
$false,
inference(sat_refutation,[status(thm)],[f434,f474,f681,f683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 14:09:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.043922 seconds
% 0.13/0.41 % CPU time: 0.121686 seconds
% 0.13/0.41 % Total memory used: 22.984 MB
% 0.13/0.41 % Net memory used: 22.888 MB
%------------------------------------------------------------------------------