%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS254+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 : n011.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 12:59:59 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 104 ( 41 ~; 37 |; 19 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 80 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
=> ~ ? [I2] : model(I2,C) )
<=> status(Ax,C,unp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
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(f33,conjecture,
mighta(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(unp,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
! [Ax,C] :
( ( ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
<=> status(Ax,C,unp) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
! [Ax,C] :
( ( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
( ! [Ax,C] :
( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| model(sK1_skl(C,Ax),Ax) )
& ! [Ax,C] :
( status(Ax,C,unp)
| ( model(sK0_skl(C,Ax),C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(I2,sK0_skl(C,Ax)),skolemize(I1,sK1_skl(C,Ax))],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( status(X1,X2,unp)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( status(X1,X0,unp)
| model(sK0_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
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(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(f240,plain,
~ mighta(unp,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f241,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,unp) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f242,plain,
! [X0] :
( status(X0,X0,thm)
| status(X0,X0,thm) ),
inference(resolution,[status(thm)],[f67,f66]) ).
fof(f244,plain,
! [X0] : status(X0,X0,thm),
inference(duplicate_literals_removal,[status(thm)],[f242]) ).
fof(f246,plain,
! [X0] : ~ status(X0,X0,unp),
inference(resolution,[status(thm)],[f244,f241]) ).
fof(f248,plain,
! [X0,X1] : ~ model(X0,X1),
inference(resolution,[status(thm)],[f246,f39]) ).
fof(f250,plain,
! [X0,X1] : status(X0,X1,unp),
inference(backward_subsumption_resolution,[status(thm)],[f40,f248]) ).
fof(f253,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f246,f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS254+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 23:00:10 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.51 % Elapsed time: 0.056194 seconds
% 0.18/0.51 % CPU time: 0.183419 seconds
% 0.18/0.51 % Total memory used: 12.873 MB
% 0.18/0.51 % Net memory used: 12.784 MB
%------------------------------------------------------------------------------