%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS092+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 : n004.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 01:53:02 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.08s
% Output : Proof 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 22 |; 13 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 21 ( 0 sgn 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ( cc(Y)
& cd(Y) ) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ? [Y] :
( ( ~ cc(Y)
| ~ cd(Y) )
& rr(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ( cc(Y)
& cd(Y) )
| ~ rr(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ( ~ cc(sk1(X))
| ~ cd(sk1(X)) )
& rr(X,sk1(X)) )
| ~ cowlThing(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ( ( ( cc(Y)
& cd(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(c7,plain,
( cc(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f8,axiom,
cUnsatisfiable(i2003_11_14_17_20_04172),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c15,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p18,plain,
( cc(X0)
| ~ rr(i2003_11_14_17_20_04172,X0) ),
inference(resolution,[status(thm)],[c7,c15]) ).
cnf(c4,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p16,plain,
rr(i2003_11_14_17_20_04172,sk0(i2003_11_14_17_20_04172)),
inference(resolution,[status(thm)],[c4,c15]) ).
cnf(p20,plain,
cc(sk0(i2003_11_14_17_20_04172)),
inference(resolution,[status(thm)],[p18,p16]) ).
fof(f3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c10,plain,
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p21,plain,
~ cd(sk0(i2003_11_14_17_20_04172)),
inference(resolution,[status(thm)],[p20,c10]) ).
cnf(c6,plain,
( cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( cd(X0)
| ~ rr(i2003_11_14_17_20_04172,X0) ),
inference(resolution,[status(thm)],[c6,c15]) ).
cnf(p19,plain,
cd(sk0(i2003_11_14_17_20_04172)),
inference(resolution,[status(thm)],[p17,p16]) ).
cnf(p22,plain,
$false,
inference(resolution,[status(thm)],[p21,p19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS092+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:21:50 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.04/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.04/1.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------