%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS263+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:00:00 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 12 unt; 2 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 144 ( 62 ~; 49 |; 26 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 112 ( 92 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Ax,C] :
( ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wtc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
? [F] :
( ? [I2] : ~ model(I2,F)
& ? [I1] : model(I1,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f62,plain,
! [Ax,C] :
( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
<=> status(Ax,C,thm) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f63,plain,
! [Ax,C] :
( ( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
( ! [Ax,C] :
( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,thm)
| ( ~ model(sK9_skl(C,Ax),C)
& model(sK9_skl(C,Ax),Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64]) ).
fof(f67,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f108,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f109,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ~ model(sK24_skl(C,Ax),Ax)
& model(sK23_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wtc)
| ~ model(sK22_skl(C,Ax),C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(I3,sK22_skl(C,Ax)),skolemize(I1,sK23_skl(C,Ax)),skolemize(I2,sK24_skl(C,Ax))],[f109]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,wtc)
| ~ model(sK22_skl(X3,X1),X3)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,wtc)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f174,plain,
! [S1,S2] :
( ( ~ mighta(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f175,plain,
( ! [S1,S2] :
( ~ mighta(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ! [S1,S2] :
( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f174]) ).
fof(f176,plain,
( ! [S1,S2] :
( ~ mighta(S1,S2)
| ( status(sK42_skl(S2,S1),sK43_skl(S2,S1),S2)
& status(sK42_skl(S2,S1),sK43_skl(S2,S1),S1) ) )
& ! [S1,S2] :
( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f215,plain,
! [I] : model(I,sK52_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27]) ).
fof(f216,plain,
! [X0] : model(X0,sK52_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( ~ model(sK55_skl,sK53_skl)
& model(sK54_skl,sK53_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl,sK55_skl]),skolemize(F,sK53_skl),skolemize(I1,sK54_skl),skolemize(I2,sK55_skl)],[f28]) ).
fof(f218,plain,
model(sK54_skl,sK53_skl),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
~ model(sK55_skl,sK53_skl),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f240,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f249,plain,
! [X0,X1,X2] :
( mighta(X2,thm)
| ~ status(X1,X0,X2)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f67,f177]) ).
fof(f253,plain,
! [X0,X1] :
( ~ status(X1,X0,wtc)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f249,f240]) ).
fof(f254,plain,
! [X0,X1,X2,X3] :
( ~ model(sK22_skl(X3,X1),X3)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f111,f255]) ).
fof(f255,plain,
! [X0,X1] : ~ status(X0,X1,wtc),
inference(forward_subsumption_resolution,[status(thm)],[f253,f114]) ).
fof(f301,plain,
! [X0,X1] :
( ~ model(sK22_skl(X1,sK53_skl),X1)
| ~ model(X0,sK53_skl) ),
inference(resolution,[status(thm)],[f219,f254]) ).
fof(f303,definition,
! [X0] :
( sQ4_spl
<=> ~ model(X0,sK53_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f304,plain,
! [X0] :
( ~ sQ4_spl
| ~ model(X0,sK53_skl) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,definition,
! [X1] :
( sQ5_spl
<=> ~ model(sK22_skl(X1,sK53_skl),X1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f307,plain,
! [X0] :
( ~ sQ5_spl
| ~ model(sK22_skl(X0,sK53_skl),X0) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f301,f303,f306]) ).
fof(f310,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f218,f304]) ).
fof(f311,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f326,plain,
( ~ sQ5_spl
| $false ),
inference(resolution,[status(thm)],[f307,f216]) ).
fof(f334,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f335,plain,
$false,
inference(sat_refutation,[status(thm)],[f309,f311,f334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS263+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:01:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.076815 seconds
% 0.14/0.44 % CPU time: 0.408851 seconds
% 0.14/0.44 % Total memory used: 24.874 MB
% 0.14/0.44 % Net memory used: 24.200 MB
%------------------------------------------------------------------------------