%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS128+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 01:53:07 PM UTC 2026
% Result : Unsatisfiable 3.21s 0.89s
% Output : Proof 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 115 ( 44 ~; 41 |; 24 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 2 sgn 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cexcomp(X)
& cd(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f10_nnf,plain,
! [X] :
( ( ~ cexcomp(X)
| ~ cd(X)
| ca_Cx4xcomp(X) )
& ( ( cexcomp(X)
& cd(X) )
| ~ ca_Cx4xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ( ~ cexcomp(X)
| ~ cd(X)
| ca_Cx4xcomp(X) )
& ( ( cexcomp(X)
& cd(X) )
| ~ ca_Cx4xcomp(X) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c27,plain,
( ~ cexcomp(X0)
| ~ cd(X0)
| ca_Cx4xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ? [Y] :
( cexcomp(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ ca_Cx4(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ cexcomp(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ca_Cx4(Y)
| ~ rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ? [Y] :
( cexcomp(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ~ ca_Cx4(sk2(X))
& rr(X,sk2(X)) )
| ( ~ cd(sk1(X))
& rr(X,sk1(X)) )
| ~ cexcomp(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ( ( ca_Cx4(Y)
| ~ rr(X,Y) )
& ( cd(Y)
| ~ rr(X,Y) )
& cexcomp(sk0(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f2_nnf]) ).
cnf(c6,plain,
( cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f11,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f11_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c28,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p31,plain,
( cd(X0)
| ~ rr(i2003_11_14_17_22_31584,X0) ),
inference(resolution,[status(thm)],[c6,c28]) ).
cnf(c4,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30,plain,
rr(i2003_11_14_17_22_31584,sk0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[c4,c28]) ).
cnf(p33,plain,
cd(sk0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[p31,p30]) ).
cnf(p45,plain,
( ~ cexcomp(sk0(i2003_11_14_17_22_31584))
| ca_Cx4xcomp(sk0(i2003_11_14_17_22_31584)) ),
inference(resolution,[status(thm)],[c27,p33]) ).
cnf(c5,plain,
( cexcomp(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p29,plain,
cexcomp(sk0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[c5,c28]) ).
cnf(p46,plain,
ca_Cx4xcomp(sk0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[p45,p29]) ).
fof(f9,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f9_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px4(X,Y)
| ca_Cx4xcomp(X) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ ca_Cx4xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( ( ra_Px4(X,sk8(X))
| ca_Cx4xcomp(X) )
& ( ~ ra_Px4(X,Y)
| ~ ca_Cx4xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8])],[f9_nnf]) ).
cnf(c23,plain,
( ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p47,plain,
~ ra_Px4(sk0(i2003_11_14_17_22_31584),X0),
inference(resolution,[status(thm)],[p46,c23]) ).
fof(f8,axiom,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px4(X,Y0)
| ca_Cx4(X) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ ca_Cx4(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y0] :
( ( ~ ra_Px4(X,Y0)
| ca_Cx4(X) )
& ( ra_Px4(X,sk7(X))
| ~ ca_Cx4(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f8_nnf]) ).
cnf(c21,plain,
( ra_Px4(X0,sk7(X0))
| ~ ca_Cx4(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(c7,plain,
( ca_Cx4(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p32,plain,
( ca_Cx4(X0)
| ~ rr(i2003_11_14_17_22_31584,X0) ),
inference(resolution,[status(thm)],[c7,c28]) ).
cnf(p34,plain,
ca_Cx4(sk0(i2003_11_14_17_22_31584)),
inference(resolution,[status(thm)],[p32,p30]) ).
cnf(p39,plain,
ra_Px4(sk0(i2003_11_14_17_22_31584),sk7(sk0(i2003_11_14_17_22_31584))),
inference(resolution,[status(thm)],[c21,p34]) ).
cnf(p48,plain,
$false,
inference(resolution,[status(thm)],[p47,p39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS128+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:27:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.21/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.21/0.89 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------