%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS149+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 : n009.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 01:53:20 PM UTC 2026
% Result : Theorem 5.09s 1.12s
% Output : Proof 5.09s
% 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 : 466 ( 197 ~; 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(f107,axiom,
! [X] :
( cTEST(X)
<=> ( cC46(X)
& cC216(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
fof(f107_nnf,plain,
! [X] :
( ( ~ cC46(X)
| ~ cC216(X)
| cTEST(X) )
& ( ( cC46(X)
& cC216(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f107]) ).
fof(f107_sk,plain,
! [X] :
( ( ~ cC46(X)
| ~ cC216(X)
| cTEST(X) )
& ( ( cC46(X)
& cC216(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f107_nnf]) ).
cnf(c320,plain,
( cC46(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f107_sk]) ).
fof(f108,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
fof(f108_nnf,plain,
cTEST(iV3102),
inference(nnf_transformation,[status(thm)],[f108]) ).
cnf(c322,plain,
cTEST(iV3102),
inference(cnf_transformation,[status(esa)],[f108_nnf]) ).
cnf(p351,plain,
cC46(iV3102),
inference(resolution,[status(thm)],[c320,c322]) ).
fof(f78,axiom,
! [X] :
( cC46(X)
<=> ( cC44(X)
& cC30(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(f78_nnf,plain,
! [X] :
( ( ~ cC44(X)
| ~ cC30(X)
| cC46(X) )
& ( ( cC44(X)
& cC30(X) )
| ~ cC46(X) ) ),
inference(nnf_transformation,[status(thm)],[f78]) ).
fof(f78_sk,plain,
! [X] :
( ( ~ cC44(X)
| ~ cC30(X)
| cC46(X) )
& ( ( cC44(X)
& cC30(X) )
| ~ cC46(X) ) ),
inference(skolemisation,[status(esa)],[f78_nnf]) ).
cnf(c232,plain,
( cC30(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
cnf(p352,plain,
cC30(iV3102),
inference(resolution,[status(thm)],[p351,c232]) ).
fof(f70,axiom,
! [X] :
( cC30(X)
<=> ( cC28(X)
& cC14(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f70_nnf,plain,
! [X] :
( ( ~ cC28(X)
| ~ cC14(X)
| cC30(X) )
& ( ( cC28(X)
& cC14(X) )
| ~ cC30(X) ) ),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
! [X] :
( ( ~ cC28(X)
| ~ cC14(X)
| cC30(X) )
& ( ( cC28(X)
& cC14(X) )
| ~ cC30(X) ) ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c209,plain,
( cC28(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(p356,plain,
cC28(iV3102),
inference(resolution,[status(thm)],[p352,c209]) ).
cnf(c233,plain,
( cC44(X0)
| ~ cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
cnf(p353,plain,
cC44(iV3102),
inference(resolution,[status(thm)],[p351,c233]) ).
cnf(c319,plain,
( cC216(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f107_sk]) ).
cnf(p348,plain,
cC216(iV3102),
inference(resolution,[status(thm)],[c319,c322]) ).
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(f125,conjecture,
( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f125_neg,negated_conjecture,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f125]) ).
fof(f125_nnf,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f125_neg]) ).
fof(f125_sk,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ( ~ xsd_integer(sk55)
& ~ xsd_string(sk55) )
| ( xsd_integer(sk55)
& xsd_string(sk55) )
| cowlNothing(sk54)
| ~ cowlThing(sk54) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk54,sk55])],[f125_nnf]) ).
cnf(c340,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_integer(sk55)
| xsd_string(sk55)
| cowlNothing(sk54)
| ~ cowlThing(sk54) ),
inference(cnf_transformation,[status(esa)],[f125_sk]) ).
cnf(p343,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_integer(sk55)
| xsd_string(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[c0,c340]) ).
cnf(p345,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_string(sk55)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[c3,p343]) ).
cnf(p346,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(factoring,[status(thm)],[p345]) ).
cnf(p349,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p348,p346]) ).
cnf(p354,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p351,p349]) ).
cnf(p357,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p352,p354]) ).
cnf(p358,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p353,p357]) ).
cnf(p359,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p356,p358]) ).
fof(f65,axiom,
! [X] :
( cC216(X)
<=> ( cC64(X)
& ~ cC214(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f65_nnf,plain,
! [X] :
( ( ~ cC64(X)
| cC214(X)
| cC216(X) )
& ( ( cC64(X)
& ~ cC214(X) )
| ~ cC216(X) ) ),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
! [X] :
( ( ~ cC64(X)
| cC214(X)
| cC216(X) )
& ( ( cC64(X)
& ~ cC214(X) )
| ~ cC216(X) ) ),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c194,plain,
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p350,plain,
cC64(iV3102),
inference(resolution,[status(thm)],[p348,c194]) ).
cnf(p360,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p359,p350]) ).
cnf(c208,plain,
( cC14(X0)
| ~ cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(p355,plain,
cC14(iV3102),
inference(resolution,[status(thm)],[p352,c208]) ).
cnf(p361,plain,
( ~ cowlThing(iV3102)
| cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p360,p355]) ).
cnf(p362,plain,
( cowlNothing(sk54)
| xsd_string(sk55) ),
inference(resolution,[status(thm)],[p361,c0]) ).
cnf(c341,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_string(sk55)
| xsd_integer(sk55)
| cowlNothing(sk54)
| ~ cowlThing(sk54) ),
inference(cnf_transformation,[status(esa)],[f125_sk]) ).
cnf(p344,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_string(sk55)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[c0,c341]) ).
cnf(p363,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p362,p344]) ).
cnf(p365,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(factoring,[status(thm)],[p363]) ).
cnf(p366,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p365,p348]) ).
cnf(p367,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p366,p351]) ).
cnf(p368,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p367,p352]) ).
cnf(p369,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p368,p353]) ).
cnf(p370,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p369,p356]) ).
cnf(p371,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p370,p350]) ).
cnf(p372,plain,
( ~ cowlThing(iV3102)
| xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p371,p355]) ).
cnf(p373,plain,
( xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p372,c0]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p364,plain,
( ~ xsd_integer(sk55)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p362,c2]) ).
cnf(p374,plain,
( cowlNothing(sk54)
| cowlNothing(sk54) ),
inference(resolution,[status(thm)],[p373,p364]) ).
cnf(p375,plain,
cowlNothing(sk54),
inference(factoring,[status(thm)],[p374]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p376,plain,
$false,
inference(resolution,[status(thm)],[p375,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS149+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:32:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.09/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.09/1.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------