%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS157+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 : n014.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 01:53:21 PM UTC 2026
% Result : Theorem 5.70s 1.20s
% Output : Proof 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 14 unt; 0 def)
% Number of atoms : 340 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 465 ( 196 ~; 213 |; 49 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 2 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201,axiom,
! [X] :
( cTEST(X)
<=> ( cC46(X)
& cC216(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).
fof(f201_nnf,plain,
! [X] :
( ( ~ cC46(X)
| ~ cC216(X)
| cTEST(X) )
& ( ( cC46(X)
& cC216(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f201]) ).
fof(f201_sk,plain,
! [X] :
( ( ~ cC46(X)
| ~ cC216(X)
| cTEST(X) )
& ( ( cC46(X)
& cC216(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f201_nnf]) ).
cnf(c508,plain,
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f201_sk]) ).
fof(f202,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).
fof(f202_nnf,plain,
cTEST(iV3102),
inference(nnf_transformation,[status(thm)],[f202]) ).
cnf(c510,plain,
cTEST(iV3102),
inference(cnf_transformation,[status(esa)],[f202_nnf]) ).
cnf(p537,plain,
cC46(iV3102),
inference(resolution,[status(thm)],[c508,c510]) ).
fof(f148,axiom,
! [X] :
( cC46(X)
<=> ( cC44(X)
& cC30(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
fof(f148_nnf,plain,
! [X] :
( ( ~ cC44(X)
| ~ cC30(X)
| cC46(X) )
& ( ( cC44(X)
& cC30(X) )
| ~ cC46(X) ) ),
inference(nnf_transformation,[status(thm)],[f148]) ).
fof(f148_sk,plain,
! [X] :
( ( ~ cC44(X)
| ~ cC30(X)
| cC46(X) )
& ( ( cC44(X)
& cC30(X) )
| ~ cC46(X) ) ),
inference(skolemisation,[status(esa)],[f148_nnf]) ).
cnf(c372,plain,
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f148_sk]) ).
cnf(p538,plain,
cC30(iV3102),
inference(resolution,[status(thm)],[p537,c372]) ).
fof(f132,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f132_nnf,plain,
! [X] :
( ( ~ cC14(X)
| ~ cC28(X)
| cC30(X) )
& ( ( cC14(X)
& cC28(X) )
| ~ cC30(X) ) ),
inference(nnf_transformation,[status(thm)],[f132]) ).
fof(f132_sk,plain,
! [X] :
( ( ~ cC14(X)
| ~ cC28(X)
| cC30(X) )
& ( ( cC14(X)
& cC28(X) )
| ~ cC30(X) ) ),
inference(skolemisation,[status(esa)],[f132_nnf]) ).
cnf(c333,plain,
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f132_sk]) ).
cnf(p541,plain,
cC14(iV3102),
inference(resolution,[status(thm)],[p538,c333]) ).
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(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]) ).
fof(f219,conjecture,
( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f219_neg,negated_conjecture,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f219]) ).
fof(f219_nnf,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f219_neg]) ).
fof(f219_sk,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ( ~ xsd_integer(sk149)
& ~ xsd_string(sk149) )
| ( xsd_integer(sk149)
& xsd_string(sk149) )
| cowlNothing(sk148)
| ~ cowlThing(sk148) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk148,sk149])],[f219_nnf]) ).
cnf(c528,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer(sk149)
| xsd_string(sk149)
| cowlNothing(sk148)
| ~ cowlThing(sk148) ),
inference(cnf_transformation,[status(esa)],[f219_sk]) ).
cnf(p531,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_integer(sk149)
| xsd_string(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[c0,c528]) ).
cnf(p533,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| xsd_string(sk149)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[c3,p531]) ).
cnf(p534,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(factoring,[status(thm)],[p533]) ).
cnf(p542,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p541,p534]) ).
cnf(c373,plain,
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f148_sk]) ).
cnf(p539,plain,
cC44(iV3102),
inference(resolution,[status(thm)],[p537,c373]) ).
cnf(p543,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p542,p539]) ).
cnf(c507,plain,
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f201_sk]) ).
cnf(p535,plain,
cC216(iV3102),
inference(resolution,[status(thm)],[c507,c510]) ).
cnf(p544,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p543,p535]) ).
fof(f121,axiom,
! [X] :
( cC216(X)
<=> ( cC214xcomp(X)
& cC64(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(f121_nnf,plain,
! [X] :
( ( ~ cC214xcomp(X)
| ~ cC64(X)
| cC216(X) )
& ( ( cC214xcomp(X)
& cC64(X) )
| ~ cC216(X) ) ),
inference(nnf_transformation,[status(thm)],[f121]) ).
fof(f121_sk,plain,
! [X] :
( ( ~ cC214xcomp(X)
| ~ cC64(X)
| cC216(X) )
& ( ( cC214xcomp(X)
& cC64(X) )
| ~ cC216(X) ) ),
inference(skolemisation,[status(esa)],[f121_nnf]) ).
cnf(c305,plain,
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[status(esa)],[f121_sk]) ).
cnf(p536,plain,
cC64(iV3102),
inference(resolution,[status(thm)],[p535,c305]) ).
cnf(p545,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p544,p536]) ).
cnf(p546,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p545,p537]) ).
cnf(c332,plain,
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f132_sk]) ).
cnf(p540,plain,
cC28(iV3102),
inference(resolution,[status(thm)],[p538,c332]) ).
cnf(p547,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p546,p540]) ).
cnf(p548,plain,
( ~ cC30(iV3102)
| cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p547,c0]) ).
cnf(p549,plain,
( cowlNothing(sk148)
| xsd_string(sk149) ),
inference(resolution,[status(thm)],[p548,p538]) ).
cnf(c529,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string(sk149)
| xsd_integer(sk149)
| cowlNothing(sk148)
| ~ cowlThing(sk148) ),
inference(cnf_transformation,[status(esa)],[f219_sk]) ).
cnf(p532,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ~ xsd_string(sk149)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[c0,c529]) ).
cnf(p550,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p549,p532]) ).
cnf(p552,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(factoring,[status(thm)],[p550]) ).
cnf(p553,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p552,p541]) ).
cnf(p554,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p553,p539]) ).
cnf(p555,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p554,p535]) ).
cnf(p556,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p555,p536]) ).
cnf(p557,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p556,p537]) ).
cnf(p558,plain,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p557,p540]) ).
cnf(p559,plain,
( ~ cC30(iV3102)
| xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p558,c0]) ).
cnf(p560,plain,
( xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p559,p538]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p551,plain,
( ~ xsd_integer(sk149)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p549,c2]) ).
cnf(p561,plain,
( cowlNothing(sk148)
| cowlNothing(sk148) ),
inference(resolution,[status(thm)],[p560,p551]) ).
cnf(p562,plain,
cowlNothing(sk148),
inference(factoring,[status(thm)],[p561]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p563,plain,
$false,
inference(resolution,[status(thm)],[p562,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:32:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.70/1.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.70/1.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------