%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS100+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 : n008.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 01:53:03 PM UTC 2026
% Result : Unsatisfiable 4.41s 1.15s
% Output : Proof 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 79 ( 31 ~; 28 |; 17 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c15,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ( ~ cd(Y)
| ce(Y) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ! [Y] :
( ce(Y)
| ~ rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( cd(Y)
& ~ ce(Y)
& rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ~ ce(Y)
& rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ce(Y)
| ~ rr(X,Y)
| ( ~ cd(sk2(X))
& rr(X,sk2(X)) )
| ( cd(sk1(X))
& ~ ce(sk1(X))
& rr(X,sk1(X)) )
| cUnsatisfiable(X) )
& ( ( ~ ce(sk0(X))
& rr(X,sk0(X))
& ( cd(Y)
| ~ rr(X,Y) )
& ( ~ cd(Y)
| ce(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f2_nnf]) ).
cnf(c6,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p18,plain,
rr(i2003_11_14_17_20_32704,sk0(i2003_11_14_17_20_32704)),
inference(resolution,[status(thm)],[c15,c6]) ).
cnf(c5,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_32704,X0) ),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(p21,plain,
cd(sk0(i2003_11_14_17_20_32704)),
inference(resolution,[status(thm)],[p18,p17]) ).
cnf(c4,plain,
( ~ cd(X1)
| ce(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p16,plain,
( ~ cd(X0)
| ce(X0)
| ~ rr(i2003_11_14_17_20_32704,X0) ),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(p20,plain,
( ~ cd(sk0(i2003_11_14_17_20_32704))
| ce(sk0(i2003_11_14_17_20_32704)) ),
inference(resolution,[status(thm)],[p18,p16]) ).
cnf(p22,plain,
ce(sk0(i2003_11_14_17_20_32704)),
inference(resolution,[status(thm)],[p21,p20]) ).
cnf(c7,plain,
( ~ ce(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p19,plain,
~ ce(sk0(i2003_11_14_17_20_32704)),
inference(resolution,[status(thm)],[c15,c7]) ).
cnf(p23,plain,
$false,
inference(resolution,[status(thm)],[p22,p19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 19:24:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.41/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/1.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------