%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS123+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 4.44s 6.09s
% Output : Proof 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 21 |; 9 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 2 sgn 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f12_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c20,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( cd(X)
& cc(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cd(X)
| ~ cc(X)
| cUnsatisfiable(X) )
& ( ( cd(X)
& cc(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cd(X)
| ~ cc(X)
| cUnsatisfiable(X) )
& ( ( cd(X)
& cc(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p23,plain,
cc(i2003_11_14_17_22_02803),
inference(resolution,[status(thm)],[c20,c4]) ).
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(p27,plain,
cdxcomp(i2003_11_14_17_22_02803),
inference(resolution,[status(thm)],[p23,c7]) ).
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]) ).
cnf(p29,plain,
ra_Px1(i2003_11_14_17_22_02803,sk1(i2003_11_14_17_22_02803)),
inference(resolution,[status(thm)],[p27,c12]) ).
cnf(c5,plain,
( cd(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p24,plain,
cd(i2003_11_14_17_22_02803),
inference(resolution,[status(thm)],[c20,c5]) ).
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(p28,plain,
~ ra_Px1(i2003_11_14_17_22_02803,X0),
inference(resolution,[status(thm)],[p24,c10]) ).
cnf(p30,plain,
$false,
inference(resolution,[status(thm)],[p29,p28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS123+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 19:27:11 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.44/6.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.44/6.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------