%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS191+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 : Fri Sep 25 01:53:26 PM UTC 2026
% Result : Theorem 28.25s 4.10s
% Output : Proof 28.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 76 ( 28 ~; 27 |; 16 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 4 sgn 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f20_nnf,plain,
! [S1,S2] :
( ( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [S1,S2,Ax,C] :
( ( ~ isa(S1,S2)
| status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ( isa(S1,S2)
| ( ~ status(sk43(S1,S2),sk44(S1,S2),S2)
& status(sk43(S1,S2),sk44(S1,S2),S1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk43,sk44])],[f20_nnf]) ).
cnf(c83,plain,
( isa(X0,X1)
| ~ status(sk43(X0,X1),sk44(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(c82,plain,
( isa(X0,X1)
| status(sk43(X0,X1),sk44(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f10,axiom,
! [Ax,C] :
( ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
fof(f10_nnf,plain,
! [Ax,C] :
( ( ~ status(Ax,C,wtc)
| ( ! [I3] : model(I3,C)
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) ) )
& ( status(Ax,C,wtc)
| ? [I3] : ~ model(I3,C)
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [I1,Ax,I2,C,I3] :
( ( ~ status(Ax,C,wtc)
| ( model(I3,C)
& ~ model(sk23(Ax,C),Ax)
& model(sk22(Ax,C),Ax) ) )
& ( status(Ax,C,wtc)
| ~ model(sk21(Ax,C),C)
| model(I2,Ax)
| ~ model(I1,Ax) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk21,sk22,sk23])],[f10_nnf]) ).
cnf(c48,plain,
( ~ status(X0,X1,wtc)
| model(X4,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p6901,plain,
( model(X1,sk44(wtc,X0))
| isa(wtc,X0) ),
inference(resolution,[status(thm)],[c82,c48]) ).
fof(f4,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f4_nnf,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)],[f4]) ).
fof(f4_sk,plain,
! [Ax,C,I1] :
( ( ~ status(Ax,C,thm)
| model(I1,C)
| ~ model(I1,Ax) )
& ( status(Ax,C,thm)
| ( ~ model(sk9(Ax,C),C)
& model(sk9(Ax,C),Ax) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk9])],[f4_nnf]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sk9(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p7342,plain,
( status(X1,sk44(wtc,X0),thm)
| isa(wtc,X0) ),
inference(resolution,[status(thm)],[p6901,c16]) ).
cnf(p8543,plain,
( isa(wtc,thm)
| isa(wtc,thm) ),
inference(resolution,[status(thm)],[c83,p7342]) ).
cnf(p8563,plain,
isa(wtc,thm),
inference(factoring,[status(thm)],[p8543]) ).
fof(f32,conjecture,
isa(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wtc_thm) ).
fof(f32_neg,negated_conjecture,
~ isa(wtc,thm),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
~ isa(wtc,thm),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
~ isa(wtc,thm),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c118,plain,
~ isa(wtc,thm),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p8564,plain,
$false,
inference(resolution,[status(thm)],[p8563,c118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS191+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:38:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.25/4.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.25/4.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------