%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS267+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 : n018.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 01:00:01 PM UTC 2026
% Result : Theorem 1.77s 0.74s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 46 ~; 38 |; 21 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 87 !; 15 ?)
% 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(f15,axiom,
! [Ax,C] :
( ( ! [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,tca) ),
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(f29,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(tca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(tca,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(f139,plain,
! [Ax,C] :
( ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
<=> status(Ax,C,tca) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f140,plain,
! [Ax,C] :
( ( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,tca)
| ? [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(NNF_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tca)
| ? [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(miniscoping,[status(thm)],[f140]) ).
fof(f142,plain,
( ! [Ax,C] :
( ~ status(Ax,C,tca)
| ( ! [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ! [Ax,C] :
( status(Ax,C,tca)
| ~ model(sK33_skl(C,Ax),C)
| model(sK32_skl(C,Ax),Ax) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl,sK33_skl]),skolemize(I1,sK32_skl(C,Ax)),skolemize(I2,sK33_skl(C,Ax))],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( status(X1,X0,tca)
| ~ model(sK33_skl(X0,X1),X0)
| model(sK32_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ status(X2,X1,tca)
| model(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
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(f220,plain,
! [I] : ~ model(I,sK56_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29]) ).
fof(f221,plain,
! [X0] : ~ model(X0,sK56_skl),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f240,plain,
~ mighta(tca,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,tca)
| ~ model(sK9_skl(X0,X1),X0) ),
inference(resolution,[status(thm)],[f249,f240]) ).
fof(f255,plain,
! [X0,X1] :
( ~ model(sK33_skl(X0,X1),X0)
| model(sK32_skl(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f143,f256]) ).
fof(f256,plain,
! [X0,X1] : ~ status(X0,X1,tca),
inference(forward_subsumption_resolution,[status(thm)],[f253,f145]) ).
fof(f434,plain,
! [X0] : model(sK32_skl(sK52_skl,X0),X0),
inference(resolution,[status(thm)],[f216,f255]) ).
fof(f502,plain,
$false,
inference(resolution,[status(thm)],[f434,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS267+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n018.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 23:02:13 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 1.77/0.74 % Refutation found
% 1.77/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.77/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.77/0.78 % Elapsed time: 0.317392 seconds
% 1.77/0.78 % CPU time: 2.112438 seconds
% 1.77/0.78 % Total memory used: 38.231 MB
% 1.77/0.78 % Net memory used: 35.452 MB
%------------------------------------------------------------------------------