%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS260+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 0.13s 0.50s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 182 ( 74 ~; 61 |; 40 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 128 ( 101 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Ax,C] :
( ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wec) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(wec,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(f66,plain,
! [X0,X1] :
( status(X1,X0,thm)
| model(sK9_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f83,plain,
! [Ax,C] :
( ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wec) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f84,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wec)
| ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wec)
| ( ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f86,plain,
( ! [Ax,C] :
( ~ status(Ax,C,wec)
| ( ~ model(sK16_skl(C,Ax),Ax)
& model(sK16_skl(C,Ax),C)
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK15_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,wec)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ( ~ model(sK14_skl(C,Ax),C)
& model(sK14_skl(C,Ax),Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(I2,sK14_skl(C,Ax)),skolemize(I1,sK15_skl(C,Ax)),skolemize(I3,sK16_skl(C,Ax))],[f85]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( status(X1,X2,wec)
| model(X3,X1)
| ~ model(X3,X2)
| ~ model(sK14_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,wec)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
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(f235,plain,
? [C] :
( ? [I2] : model(I2,C)
& ? [I1] :
( ~ model(I1,C)
& ? [Ax] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f236,plain,
( model(sK70_skl,sK67_skl)
& ~ model(sK68_skl,sK67_skl)
& model(sK68_skl,sK69_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67_skl,sK68_skl,sK69_skl,sK70_skl]),skolemize(C,sK67_skl),skolemize(I1,sK68_skl),skolemize(Ax,sK69_skl),skolemize(I2,sK70_skl)],[f235]) ).
fof(f238,plain,
~ model(sK68_skl,sK67_skl),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f239,plain,
model(sK70_skl,sK67_skl),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f240,plain,
~ mighta(wec,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f241,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wec) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f706,plain,
! [X0,X1] :
( ~ status(X1,X0,wec)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f67,f241]) ).
fof(f713,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,wec)
| ~ model(sK9_skl(X1,X0),X2)
| ~ status(X0,X1,wec) ),
inference(resolution,[status(thm)],[f706,f90]) ).
fof(f945,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,wec)
| ~ status(X0,X1,wec) ),
inference(resolution,[status(thm)],[f713,f66]) ).
fof(f955,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,wec) ),
inference(duplicate_literals_removal,[status(thm)],[f945]) ).
fof(f956,plain,
! [X0,X1] : ~ status(X0,X1,wec),
inference(forward_subsumption_resolution,[status(thm)],[f955,f241]) ).
fof(f1271,plain,
! [X0,X1,X2,X3] :
( model(X3,X1)
| ~ model(X3,X2)
| ~ model(sK14_skl(X2,X1),X2)
| ~ model(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f956]) ).
fof(f1272,plain,
! [X0,X1] :
( ~ model(sK68_skl,X1)
| ~ model(sK14_skl(X1,sK67_skl),X1)
| ~ model(X0,sK67_skl) ),
inference(resolution,[status(thm)],[f1271,f238]) ).
fof(f1354,plain,
! [X0] :
( ~ model(sK68_skl,sK52_skl)
| ~ model(X0,sK67_skl) ),
inference(resolution,[status(thm)],[f1272,f216]) ).
fof(f1368,plain,
! [X0] : ~ model(X0,sK67_skl),
inference(forward_subsumption_resolution,[status(thm)],[f1354,f216]) ).
fof(f1376,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f239,f1368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS260+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:03:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.50 % Refutation found
% 0.13/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.51 % Elapsed time: 0.143943 seconds
% 0.13/0.51 % CPU time: 0.920713 seconds
% 0.13/0.51 % Total memory used: 32.150 MB
% 0.13/0.51 % Net memory used: 30.572 MB
%------------------------------------------------------------------------------