%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS258+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 12:59:59 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 141 ( 56 ~; 53 |; 26 &)
% ( 5 <=>; 1 =>; 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 82 !; 14 ?)
% 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(f6,axiom,
! [Ax,C] :
( ( ! [I2] :
( model(I2,Ax)
<=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eqv) ),
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(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(eqv,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(f69,plain,
! [Ax,C] :
( ( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ( ~ model(I2,C)
| model(I2,Ax) )
& ( model(I2,C)
| ~ model(I2,Ax) ) )
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,eqv)
| ? [I2] :
( ( model(I2,C)
| model(I2,Ax) )
& ( ~ model(I2,C)
| ~ model(I2,Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f70,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ~ model(I2,C)
| model(I2,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eqv)
| ? [I2] :
( ( model(I2,C)
| model(I2,Ax) )
& ( ~ model(I2,C)
| ~ model(I2,Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [Ax,C] :
( ~ status(Ax,C,eqv)
| ( ! [I2] :
( ~ model(I2,C)
| model(I2,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& model(sK11_skl(C,Ax),Ax) ) )
& ! [Ax,C] :
( status(Ax,C,eqv)
| ( ( model(sK10_skl(C,Ax),C)
| model(sK10_skl(C,Ax),Ax) )
& ( ~ model(sK10_skl(C,Ax),C)
| ~ model(sK10_skl(C,Ax),Ax) ) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(I2,sK10_skl(C,Ax)),skolemize(I1,sK11_skl(C,Ax))],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( status(X1,X2,eqv)
| ~ model(sK10_skl(X2,X1),X2)
| ~ model(sK10_skl(X2,X1),X1)
| ~ model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
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(f240,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f241,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,eqv) ),
inference(resolution,[status(thm)],[f177,f240]) ).
fof(f724,plain,
! [X0,X1] :
( ~ status(X1,X0,eqv)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f67,f241]) ).
fof(f793,plain,
! [X0] :
( status(X0,X0,thm)
| ~ status(X0,X0,eqv) ),
inference(resolution,[status(thm)],[f724,f66]) ).
fof(f802,plain,
! [X0] : ~ status(X0,X0,eqv),
inference(forward_subsumption_resolution,[status(thm)],[f793,f241]) ).
fof(f803,plain,
! [X0,X1] :
( ~ model(sK10_skl(X1,X1),X1)
| ~ model(sK10_skl(X1,X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[f802,f72]) ).
fof(f804,plain,
! [X0,X1] :
( ~ model(sK10_skl(X1,X1),X1)
| ~ model(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f803]) ).
fof(f825,plain,
$false,
inference(resolution,[status(thm)],[f804,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS258+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:00:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.081824 seconds
% 0.12/0.44 % CPU time: 0.418842 seconds
% 0.12/0.44 % Total memory used: 24.695 MB
% 0.12/0.44 % Net memory used: 24.156 MB
%------------------------------------------------------------------------------