%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS129+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 : n015.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 0.85s 0.80s
% Output : Proof 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 136 ( 53 ~; 56 |; 22 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 33 ( 2 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,conjecture,
( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f26_neg,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f26_nnf,plain,
( ~ cEuroMP(iKinnock)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f26_neg]) ).
fof(f26_sk,plain,
( ~ cEuroMP(iKinnock)
| ( ~ 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])],[f26_nnf]) ).
cnf(c39,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f12,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f12_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p85,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c39,c12]) ).
fof(f13,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f13_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c15,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p86,plain,
( xsd_integer(sk2)
| ~ cEuroMP(iKinnock)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p85,c15]) ).
cnf(p87,plain,
( ~ cEuroMP(iKinnock)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p86]) ).
fof(f15,axiom,
! [X] :
( cEuroMP(X)
<=> ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f15_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) )
| cEuroMP(X) )
& ( ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) )
| ~ cEuroMP(X) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y)
| cEuroMP(X) )
& ( ( cowlThing(sk0(X))
& risEuroMPFrom(X,sk0(X)) )
| ~ cEuroMP(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f15_nnf]) ).
cnf(c25,plain,
( ~ cowlThing(X1)
| ~ risEuroMPFrom(X0,X1)
| cEuroMP(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f17,axiom,
! [X,Y] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f17_nnf,plain,
! [X,Y] :
( ( ~ rhasEuroMP(Y,X)
| risEuroMPFrom(X,Y) )
& ( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,Y] :
( ( ~ rhasEuroMP(Y,X)
| risEuroMPFrom(X,Y) )
& ( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c28,plain,
( ~ rhasEuroMP(X1,X0)
| risEuroMPFrom(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f25,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f25_nnf,plain,
rhasEuroMP(iUK,iKinnock),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c36,plain,
rhasEuroMP(iUK,iKinnock),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(p47,plain,
risEuroMPFrom(iKinnock,iUK),
inference(resolution,[status(thm)],[c28,c36]) ).
cnf(p48,plain,
( ~ cowlThing(iUK)
| cEuroMP(iKinnock) ),
inference(resolution,[status(thm)],[c25,p47]) ).
cnf(p49,plain,
cEuroMP(iKinnock),
inference(resolution,[status(thm)],[p48,c12]) ).
cnf(p88,plain,
( xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p87,p49]) ).
cnf(c38,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p84,plain,
( ~ cEuroMP(iKinnock)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c38,c12]) ).
cnf(p89,plain,
( ~ cEuroMP(iKinnock)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p88,p84]) ).
cnf(p90,plain,
( ~ cEuroMP(iKinnock)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p89]) ).
cnf(p113,plain,
( xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p90,p49]) ).
cnf(c14,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p114,plain,
( ~ xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p113,c14]) ).
cnf(p115,plain,
( cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p114,p88]) ).
cnf(p116,plain,
cowlNothing(sk1),
inference(factoring,[status(thm)],[p115]) ).
cnf(c13,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p138,plain,
$false,
inference(resolution,[status(thm)],[p116,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS129+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 : n015.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 19:30:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.85/0.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/0.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------