%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:53:04 PM UTC 2026
% Result : Unsatisfiable 3.83s 0.99s
% Output : Proof 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 17 unt; 0 def)
% Number of atoms : 130 ( 12 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 133 ( 54 ~; 49 |; 23 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 80 ( 4 sgn 47 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f27_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c37,plain,
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f23,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f23_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y] :
( ( ~ cp(Y)
| ~ rf(X,Y)
| ~ cowlThing(Y)
| ~ rs(X,Y)
| ~ cpxcomp(Y)
| ~ rf1(X,Y)
| cUnsatisfiable(X) )
& ( ( cp(sk2(X))
& rf(X,sk2(X))
& cowlThing(sk1(X))
& rs(X,sk1(X))
& cpxcomp(sk0(X))
& rf1(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f23_nnf]) ).
cnf(c25,plain,
( rf1(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
fof(f32,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f32_nnf,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c45,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(p51,plain,
rf1(i2003_11_14_17_21_15425,sk0(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c25,c45]) ).
cnf(p69,plain,
( sk0(i2003_11_14_17_21_15425) = X0
| ~ rf1(i2003_11_14_17_21_15425,X0) ),
inference(resolution,[status(thm)],[c37,p51]) ).
fof(f34,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f34_nnf,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c47,plain,
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(c27,plain,
( rs(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p52,plain,
rs(i2003_11_14_17_21_15425,sk1(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c27,c45]) ).
cnf(p62,plain,
rf1(i2003_11_14_17_21_15425,sk1(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c47,p52]) ).
cnf(p71,plain,
sk0(i2003_11_14_17_21_15425) = sk1(i2003_11_14_17_21_15425),
inference(resolution,[status(thm)],[p69,p62]) ).
fof(f26,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f26_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c36,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(c29,plain,
( rf(X0,sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p53,plain,
rf(i2003_11_14_17_21_15425,sk2(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c29,c45]) ).
cnf(p64,plain,
( sk2(i2003_11_14_17_21_15425) = X0
| ~ rf(i2003_11_14_17_21_15425,X0) ),
inference(resolution,[status(thm)],[c36,p53]) ).
fof(f33,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f33_nnf,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c46,plain,
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p60,plain,
rf(i2003_11_14_17_21_15425,sk1(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c46,p52]) ).
cnf(p66,plain,
sk2(i2003_11_14_17_21_15425) = sk1(i2003_11_14_17_21_15425),
inference(resolution,[status(thm)],[p64,p60]) ).
fof(f24,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f24_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk3(X))
| cp(X) )
& ( ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f24_nnf]) ).
cnf(c32,plain,
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(c30,plain,
( cp(sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p49,plain,
cp(sk2(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c30,c45]) ).
cnf(p50,plain,
~ ra_Px1(sk2(i2003_11_14_17_21_15425),X0),
inference(resolution,[status(thm)],[c32,p49]) ).
cnf(p68,plain,
~ ra_Px1(sk1(i2003_11_14_17_21_15425),X0),
inference(demodulation,[status(thm)],[p66,p50]) ).
cnf(p96,plain,
~ ra_Px1(sk0(i2003_11_14_17_21_15425),X0),
inference(superposition,[status(thm)],[p71,p68]) ).
fof(f25,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f25_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ra_Px1(X,sk4(X))
| ~ cpxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f25_nnf]) ).
cnf(c34,plain,
( ra_Px1(X0,sk4(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(c26,plain,
( cpxcomp(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p48,plain,
cpxcomp(sk0(i2003_11_14_17_21_15425)),
inference(resolution,[status(thm)],[c26,c45]) ).
cnf(p55,plain,
ra_Px1(sk0(i2003_11_14_17_21_15425),sk4(sk0(i2003_11_14_17_21_15425))),
inference(resolution,[status(thm)],[c34,p48]) ).
cnf(p101,plain,
$false,
inference(resolution,[status(thm)],[p96,p55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Sep 23 19:25:48 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.83/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/0.99 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------