%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS126+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 : n011.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 0.13s 0.99s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 16 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 2 sgn 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( cd1(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px2(X,Y0)
| cd1(X) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cd1(X) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y0] :
( ( ~ ra_Px2(X,Y0)
| cd1(X) )
& ( ra_Px2(X,sk2(X))
| ~ cd1(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f7_nnf]) ).
cnf(c11,plain,
( ra_Px2(X0,sk2(X0))
| ~ cd1(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
=> cd1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( cd1(X)
| ~ cUnsatisfiable(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( cd1(X)
| ~ cUnsatisfiable(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( cd1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f11,axiom,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f11_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c17,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p19,plain,
cd1(i2003_11_14_17_22_23554),
inference(resolution,[status(thm)],[c5,c17]) ).
cnf(p22,plain,
ra_Px2(i2003_11_14_17_22_23554,sk2(i2003_11_14_17_22_23554)),
inference(resolution,[status(thm)],[c11,p19]) ).
fof(f8,axiom,
! [X] :
( cd1xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px2(X,Y)
| cd1xcomp(X) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cd1xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( ( ra_Px2(X,sk3(X))
| cd1xcomp(X) )
& ( ~ ra_Px2(X,Y)
| ~ cd1xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f8_nnf]) ).
cnf(c13,plain,
( ~ ra_Px2(X0,X1)
| ~ cd1xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
=> cd1xcomp(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( cd1xcomp(X)
| ~ cUnsatisfiable(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( cd1xcomp(X)
| ~ cUnsatisfiable(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p18,plain,
cd1xcomp(i2003_11_14_17_22_23554),
inference(resolution,[status(thm)],[c4,c17]) ).
cnf(p21,plain,
~ ra_Px2(i2003_11_14_17_22_23554,X0),
inference(resolution,[status(thm)],[c13,p18]) ).
cnf(p23,plain,
$false,
inference(resolution,[status(thm)],[p22,p21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.57 % Computer : n011.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Wed Sep 23 19:27:14 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.99 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------