%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS125+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 : n019.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 01:53:06 PM UTC 2026
% Result : Unsatisfiable 4.87s 1.30s
% Output : Proof 4.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 27 |; 9 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 2 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| cdxcomp(X) )
& ( ra_Px1(X,sk1(X))
| ~ cdxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f7_nnf]) ).
cnf(c12,plain,
( ra_Px1(X0,sk1(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f10,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f10_nnf,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c18,plain,
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cf(X)
& ce3(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cf(X)
| ~ ce3(X)
| cUnsatisfiable(X) )
& ( ( cf(X)
& ce3(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cf(X)
| ~ ce3(X)
| cUnsatisfiable(X) )
& ( ( cf(X)
& ce3(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_17947),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f12_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_17947),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c20,plain,
cUnsatisfiable(i2003_11_14_17_22_17947),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p21,plain,
ce3(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[c4,c20]) ).
cnf(p23,plain,
cc(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[c18,p21]) ).
fof(f3,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c7,plain,
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p24,plain,
cdxcomp(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[p23,c7]) ).
cnf(p28,plain,
ra_Px1(i2003_11_14_17_22_17947,sk1(i2003_11_14_17_22_17947)),
inference(resolution,[status(thm)],[c12,p24]) ).
fof(f11,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f11_nnf,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c19,plain,
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(c5,plain,
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p22,plain,
cf(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[c5,c20]) ).
cnf(p25,plain,
cd(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[c19,p22]) ).
fof(f6,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cd(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk0(X))
| cd(X) )
& ( ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f6_nnf]) ).
cnf(c10,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p26,plain,
~ ra_Px1(i2003_11_14_17_22_17947,X0),
inference(resolution,[status(thm)],[p25,c10]) ).
cnf(p29,plain,
$false,
inference(resolution,[status(thm)],[p28,p26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.57 % Computer : n019.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Wed Sep 23 19:27:21 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.87/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.87/1.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------