%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS130+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 : 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 01:53:07 PM UTC 2026
% Result : Theorem 0.34s 15.99s
% Output : Proof 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 178 ( 45 ~; 107 |; 19 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 35 ( 5 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cNothing(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( rp(X,sk0(X))
| ~ cNothing(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f3_nnf]) ).
cnf(c5,plain,
( rp(X0,sk0(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f1_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c3,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f4,conjecture,
( ! [X] :
( cNothing(X)
<=> cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f4_neg,negated_conjecture,
~ ( ! [X] :
( cNothing(X)
<=> cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f4_nnf,plain,
( ? [X] :
( ( cowlNothing(X)
& ~ cNothing(X) )
| ( ~ cowlNothing(X)
& cNothing(X) ) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
fof(f4_sk,plain,
( ( cowlNothing(sk3)
& ~ cNothing(sk3) )
| ( ~ cowlNothing(sk3)
& cNothing(sk3) )
| ( ~ xsd_integer(sk2)
& ~ xsd_string(sk2) )
| ( xsd_integer(sk2)
& xsd_string(sk2) )
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3])],[f4_nnf]) ).
cnf(c11,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f0_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p22,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(p24,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(resolution,[status(thm)],[c3,p22]) ).
cnf(p25,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(factoring,[status(thm)],[p24]) ).
cnf(p27,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2)
| rp(sk3,sk0(sk3)) ),
inference(resolution,[status(thm)],[c5,p25]) ).
fof(f2,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ! [Y] : ~ rp(X,Y)
| ~ cNothing(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ~ rp(X,Y)
| ~ cNothing(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p26,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2)
| ~ rp(sk3,X0) ),
inference(resolution,[status(thm)],[c4,p25]) ).
cnf(p28,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(resolution,[status(thm)],[p27,p26]) ).
cnf(p29,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(factoring,[status(thm)],[p28]) ).
cnf(p32,plain,
( cowlNothing(sk3)
| cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(factoring,[status(thm)],[p29]) ).
cnf(p34,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_string(sk2) ),
inference(factoring,[status(thm)],[p32]) ).
cnf(c15,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p23,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(p35,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p34,p23]) ).
cnf(p37,plain,
( cowlNothing(sk3)
| cNothing(sk3)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p35]) ).
cnf(p39,plain,
( cNothing(sk3)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p37]) ).
cnf(p41,plain,
( rp(sk3,sk0(sk3))
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p39,c5]) ).
cnf(p40,plain,
( ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p39,c4]) ).
cnf(p42,plain,
( xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p41,p40]) ).
cnf(p43,plain,
( xsd_integer(sk2)
| cowlNothing(sk3)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p42]) ).
cnf(p46,plain,
( xsd_integer(sk2)
| xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p43]) ).
cnf(p48,plain,
( xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p46]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p36,plain,
( ~ xsd_integer(sk2)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p34,c2]) ).
cnf(p49,plain,
( cowlNothing(sk3)
| cowlNothing(sk1)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p48,p36]) ).
cnf(p50,plain,
( cowlNothing(sk3)
| cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p52,plain,
( cowlNothing(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p50]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p53,plain,
cowlNothing(sk1),
inference(resolution,[status(thm)],[p52,c1]) ).
cnf(p54,plain,
$false,
inference(resolution,[status(thm)],[p53,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS130+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.42 % CPULimit : 300
% 0.09/15.42 % WCLimit : 300
% 0.09/15.42 % DateTime : Wed Sep 23 19:27:51 UTC 2026
% 0.09/15.42 % CPUTime :
% 0.09/15.42 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.34/15.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/15.99 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------