%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS261+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 : n020.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 5.70s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 191 ( 76 ~; 73 |; 36 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 130 ( 106 !; 24 ?)
% 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(f9,axiom,
! [Ax,C] :
( ( ! [I3] :
( model(I3,Ax)
<=> model(I3,C) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eth) ),
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(f32,axiom,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(eth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(eth,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(f93,plain,
! [Ax,C] :
( ( ~ status(Ax,C,eth)
| ( ! [I3] :
( ( ~ model(I3,C)
| model(I3,Ax) )
& ( model(I3,C)
| ~ model(I3,Ax) ) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f94,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ? [I3] :
( ( model(I3,C)
| model(I3,Ax) )
& ( ~ model(I3,C)
| ~ model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eth)
| ( ! [I3] :
( ~ model(I3,C)
| model(I3,Ax) )
& ! [I3] :
( model(I3,C)
| ~ model(I3,Ax) )
& ~ model(sK19_skl(C,Ax),Ax)
& model(sK18_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eth)
| ( ( model(sK17_skl(C,Ax),C)
| model(sK17_skl(C,Ax),Ax) )
& ( ~ model(sK17_skl(C,Ax),C)
| ~ model(sK17_skl(C,Ax),Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(I3,sK17_skl(C,Ax)),skolemize(I1,sK18_skl(C,Ax)),skolemize(I2,sK19_skl(C,Ax))],[f94]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,eth)
| ~ model(sK17_skl(X3,X1),X3)
| ~ model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( status(X1,X3,eth)
| model(sK17_skl(X3,X1),X3)
| model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ status(X1,X2,eth)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
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(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(eth,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f241,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,eth) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f724,plain,
! [X0,X1] :
( ~ status(X1,X0,eth)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f67,f241]) ).
fof(f732,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,eth)
| ~ model(sK9_skl(X1,X0),X2)
| ~ status(X0,X1,eth) ),
inference(resolution,[status(thm)],[f724,f100]) ).
fof(f992,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,eth)
| ~ status(X0,X1,eth) ),
inference(resolution,[status(thm)],[f732,f66]) ).
fof(f1002,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,eth) ),
inference(duplicate_literals_removal,[status(thm)],[f992]) ).
fof(f1003,plain,
! [X0,X1] : ~ status(X0,X1,eth),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f241]) ).
fof(f1609,plain,
! [X0,X1,X2,X3] :
( ~ model(sK17_skl(X3,X1),X3)
| ~ model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f1003]) ).
fof(f1611,plain,
! [X0,X1] :
( ~ model(sK17_skl(X1,sK67_skl),X1)
| ~ model(sK17_skl(X1,sK67_skl),sK67_skl)
| ~ model(X0,sK67_skl) ),
inference(resolution,[status(thm)],[f1609,f238]) ).
fof(f1631,plain,
! [X0,X1,X2,X3] :
( model(sK17_skl(X3,X1),X3)
| model(sK17_skl(X3,X1),X1)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f1003]) ).
fof(f1713,plain,
! [X0,X1] :
( model(sK17_skl(X1,X1),X1)
| ~ model(X0,X1) ),
inference(factoring,[status(thm)],[f1631]) ).
fof(f2197,plain,
! [X0] : ~ model(X0,sK67_skl),
inference(resolution,[status(thm)],[f1611,f1713]) ).
fof(f2323,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f239,f2197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS261+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n020.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sun Sep 20 23:01:22 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.13/5.70 % Refutation found
% 0.13/5.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.71 % Elapsed time: 0.340798 seconds
% 0.13/5.71 % CPU time: 2.542263 seconds
% 0.13/5.71 % Total memory used: 47.697 MB
% 0.13/5.71 % Net memory used: 42.095 MB
%------------------------------------------------------------------------------