%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS148+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 : n018.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 3.01s 0.81s
% Output : Proof 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 10 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 237 ( 96 ~; 105 |; 31 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X] :
( cTEST(X)
<=> ( cC116(X)
& cC140(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f71_nnf,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
! [X] :
( ( ~ cC116(X)
| ~ cC140(X)
| cTEST(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c212,plain,
( cC116(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
fof(f72,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
fof(f72_nnf,plain,
cTEST(iV5475),
inference(nnf_transformation,[status(thm)],[f72]) ).
cnf(c214,plain,
cTEST(iV5475),
inference(cnf_transformation,[status(esa)],[f72_nnf]) ).
cnf(p243,plain,
cC116(iV5475),
inference(resolution,[status(thm)],[c212,c214]) ).
cnf(c211,plain,
( cC140(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(p239,plain,
cC140(iV5475),
inference(resolution,[status(thm)],[c211,c214]) ).
fof(f25,axiom,
! [X] :
( cC140(X)
<=> ( cC138(X)
& cTOP(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f25_nnf,plain,
! [X] :
( ( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( ( ~ cC138(X)
| ~ cTOP(X)
| cC140(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c74,plain,
( cC138(X0)
| ~ cC140(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p240,plain,
cC138(iV5475),
inference(resolution,[status(thm)],[p239,c74]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/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/sandbox/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(f89,conjecture,
( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f89_neg,negated_conjecture,
~ ( cC140(iV5475)
& cC116(iV5475)
& cowlThing(iV5475)
& cC138(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f89_nnf,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f89_neg]) ).
fof(f89_sk,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ( ~ xsd_integer(sk39)
& ~ xsd_string(sk39) )
| ( xsd_integer(sk39)
& xsd_string(sk39) )
| cowlNothing(sk38)
| ~ cowlThing(sk38) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk38,sk39])],[f89_nnf]) ).
cnf(c232,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_integer(sk39)
| xsd_string(sk39)
| cowlNothing(sk38)
| ~ cowlThing(sk38) ),
inference(cnf_transformation,[status(esa)],[f89_sk]) ).
cnf(p235,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_integer(sk39)
| xsd_string(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[c0,c232]) ).
cnf(p237,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| xsd_string(sk39)
| cowlNothing(sk38)
| xsd_string(sk39) ),
inference(resolution,[status(thm)],[c3,p235]) ).
cnf(p238,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| cowlNothing(sk38)
| xsd_string(sk39) ),
inference(factoring,[status(thm)],[p237]) ).
cnf(p241,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| cowlNothing(sk38)
| xsd_string(sk39) ),
inference(resolution,[status(thm)],[p240,p238]) ).
cnf(p242,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| cowlNothing(sk38)
| xsd_string(sk39) ),
inference(resolution,[status(thm)],[p241,c0]) ).
cnf(p244,plain,
( ~ cC140(iV5475)
| cowlNothing(sk38)
| xsd_string(sk39) ),
inference(resolution,[status(thm)],[p243,p242]) ).
cnf(p245,plain,
( cowlNothing(sk38)
| xsd_string(sk39) ),
inference(resolution,[status(thm)],[p244,p239]) ).
cnf(c233,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_string(sk39)
| xsd_integer(sk39)
| cowlNothing(sk38)
| ~ cowlThing(sk38) ),
inference(cnf_transformation,[status(esa)],[f89_sk]) ).
cnf(p236,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ xsd_string(sk39)
| xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[c0,c233]) ).
cnf(p246,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| xsd_integer(sk39)
| cowlNothing(sk38)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p245,p236]) ).
cnf(p248,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(factoring,[status(thm)],[p246]) ).
cnf(p249,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p248,p240]) ).
cnf(p250,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p249,c0]) ).
cnf(p251,plain,
( ~ cC140(iV5475)
| xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p250,p243]) ).
cnf(p252,plain,
( xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p251,p239]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p247,plain,
( ~ xsd_integer(sk39)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p245,c2]) ).
cnf(p253,plain,
( cowlNothing(sk38)
| cowlNothing(sk38) ),
inference(resolution,[status(thm)],[p252,p247]) ).
cnf(p254,plain,
cowlNothing(sk38),
inference(factoring,[status(thm)],[p253]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p255,plain,
$false,
inference(resolution,[status(thm)],[p254,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n018.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
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 19:33:48 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.01/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.01/0.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------