%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS124+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 : n007.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 3.70s 1.33s
% Output : Proof 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 98 ( 38 ~; 35 |; 19 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 2 sgn 23 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/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,sk3(X))
| ~ cdxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f7_nnf]) ).
cnf(c14,plain,
( ra_Px1(X0,sk3(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ca_Ax3(Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ ca_Ax3(Y)
& rr(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ca_Ax3(Y)
| ~ rr(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ~ ca_Ax3(sk1(X))
& rr(X,sk1(X)) )
| ~ cowlThing(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ( ( ca_Ax3(Y)
| ~ rr(X,Y) )
& cowlThing(sk0(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f2_nnf]) ).
cnf(c6,plain,
( ca_Ax3(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f13_nnf,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c25,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p27,plain,
( ca_Ax3(X0)
| ~ rr(i2003_11_14_17_22_10903,X0) ),
inference(resolution,[status(thm)],[c6,c25]) ).
cnf(c4,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p26,plain,
rr(i2003_11_14_17_22_10903,sk0(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[c4,c25]) ).
cnf(p28,plain,
ca_Ax3(sk0(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[p27,p26]) ).
fof(f12,axiom,
! [X] :
( ca_Ax3(X)
<=> ( cc(X)
& cd(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f12_nnf,plain,
! [X] :
( ( ~ cc(X)
| ~ cd(X)
| ca_Ax3(X) )
& ( ( cc(X)
& cd(X) )
| ~ ca_Ax3(X) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ( ~ cc(X)
| ~ cd(X)
| ca_Ax3(X) )
& ( ( cc(X)
& cd(X) )
| ~ ca_Ax3(X) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c23,plain,
( cc(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p30,plain,
cc(sk0(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[p28,c23]) ).
fof(f3,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox/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(c9,plain,
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p32,plain,
cdxcomp(sk0(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[p30,c9]) ).
cnf(p34,plain,
ra_Px1(sk0(i2003_11_14_17_22_10903),sk3(sk0(i2003_11_14_17_22_10903))),
inference(resolution,[status(thm)],[c14,p32]) ).
cnf(c22,plain,
( cd(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p29,plain,
cd(sk0(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[p28,c22]) ).
fof(f6,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/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,sk2(X))
| cd(X) )
& ( ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f6_nnf]) ).
cnf(c12,plain,
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p31,plain,
~ ra_Px1(sk0(i2003_11_14_17_22_10903),X0),
inference(resolution,[status(thm)],[p29,c12]) ).
cnf(p35,plain,
$false,
inference(resolution,[status(thm)],[p34,p31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 19:24:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.70/1.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/1.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------