%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS160+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 : n007.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 01:53:22 PM UTC 2026
% Result : Theorem 2.49s 0.80s
% Output : Proof 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 239 ( 97 ~; 106 |; 31 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f22_neg,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f22_nnf,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f22_neg]) ).
fof(f22_sk,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ~ xsd_integer(sk9)
& ~ xsd_string(sk9) )
| ( xsd_integer(sk9)
& xsd_string(sk9) )
| cowlNothing(sk8)
| ~ cowlThing(sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9])],[f22_nnf]) ).
cnf(c41,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sk9)
| xsd_string(sk9)
| cowlNothing(sk8)
| ~ cowlThing(sk8) ),
inference(cnf_transformation,[status(esa)],[f22_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(p66,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sk9)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[c41,c0]) ).
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]) ).
cnf(p68,plain,
( xsd_string(sk9)
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p66,c3]) ).
cnf(p69,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(factoring,[status(thm)],[p68]) ).
cnf(p70,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p69,c0]) ).
fof(f12,axiom,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& cC8xcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f12_nnf,plain,
! [X] :
( ( ~ cC12(X)
| ~ cC8xcomp(X)
| cTEST(X) )
& ( ( cC12(X)
& cC8xcomp(X) )
| ~ cTEST(X) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ( ~ cC12(X)
| ~ cC8xcomp(X)
| cTEST(X) )
& ( ( cC12(X)
& cC8xcomp(X) )
| ~ cTEST(X) ) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c29,plain,
( cC12(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
fof(f13,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f13_nnf,plain,
cTEST(iV21080),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c31,plain,
cTEST(iV21080),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p45,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[c29,c31]) ).
cnf(p71,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p70,p45]) ).
fof(f2,axiom,
! [X] :
( cC10(X)
<=> ( cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC2(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC4(X)
| cC10(X) )
& ( ( cC2(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f18,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f18_nnf,plain,
cC4(iV21081),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c36,plain,
cC4(iV21081),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p44,plain,
( ~ cC2(iV21081)
| cC10(iV21081) ),
inference(resolution,[status(thm)],[c6,c36]) ).
fof(f20,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f20_nnf,plain,
cC2(iV21081),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c38,plain,
cC2(iV21081),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(p47,plain,
cC10(iV21081),
inference(resolution,[status(thm)],[p44,c38]) ).
cnf(p72,plain,
( ~ cowlThing(iV21081)
| xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p71,p47]) ).
cnf(p73,plain,
( xsd_string(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p72,c0]) ).
cnf(c42,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sk9)
| xsd_integer(sk9)
| cowlNothing(sk8)
| ~ cowlThing(sk8) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p67,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_string(sk9)
| xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[c42,c0]) ).
cnf(p75,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sk9)
| cowlNothing(sk8)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p73,p67]) ).
cnf(p76,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p77,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p76,c0]) ).
cnf(p78,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p77,p45]) ).
cnf(p79,plain,
( ~ cowlThing(iV21081)
| xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p78,p47]) ).
cnf(p80,plain,
( xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p79,c0]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p74,plain,
( ~ xsd_integer(sk9)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p73,c2]) ).
cnf(p81,plain,
( cowlNothing(sk8)
| cowlNothing(sk8) ),
inference(resolution,[status(thm)],[p80,p74]) ).
cnf(p82,plain,
cowlNothing(sk8),
inference(factoring,[status(thm)],[p81]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p83,plain,
$false,
inference(resolution,[status(thm)],[p82,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:31:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.49/0.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/0.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------