%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS168+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 : n026.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 01:53:23 PM UTC 2026
% Result : Theorem 3.28s 1.08s
% Output : Proof 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 4 unt; 0 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 305 ( 95 ~; 180 |; 25 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 2 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
( ! [X] :
( ( ~ cA(X)
& ~ cB(X) )
<=> ~ ( cB(X)
| cA(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f2_neg,negated_conjecture,
~ ( ! [X] :
( ( ~ cA(X)
& ~ cB(X) )
<=> ~ ( cB(X)
| cA(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f2_nnf,plain,
( ? [X] :
( ( ~ cB(X)
& ~ cA(X)
& ( cA(X)
| cB(X) ) )
| ( ( cB(X)
| cA(X) )
& ~ cA(X)
& ~ cB(X) ) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
( ( ~ cB(sk2)
& ~ cA(sk2)
& ( cA(sk2)
| cB(sk2) ) )
| ( ( cB(sk2)
| cA(sk2) )
& ~ cA(sk2)
& ~ cB(sk2) )
| ( ~ xsd_integer(sk1)
& ~ xsd_string(sk1) )
| ( xsd_integer(sk1)
& xsd_string(sk1) )
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f2_nnf]) ).
cnf(c28,plain,
( cA(sk2)
| cB(sk2)
| cB(sk2)
| cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p57,plain,
( cB(sk2)
| cB(sk2)
| cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c28]) ).
cnf(p63,plain,
( cB(sk2)
| cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[p57]) ).
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]) ).
cnf(p69,plain,
( cB(sk2)
| cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p63,c0]) ).
cnf(c19,plain,
( cA(sk2)
| cB(sk2)
| cB(sk2)
| cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p50,plain,
( cB(sk2)
| cB(sk2)
| cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c19]) ).
cnf(p60,plain,
( cB(sk2)
| cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[p50]) ).
cnf(p61,plain,
( cB(sk2)
| cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p60,c0]) ).
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]) ).
cnf(p62,plain,
( xsd_string(sk1)
| cB(sk2)
| cA(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p61,c3]) ).
cnf(p64,plain,
( cB(sk2)
| cA(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p62]) ).
cnf(c17,plain,
( ~ cA(sk2)
| ~ cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p47,plain,
( ~ cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c17]) ).
cnf(p48,plain,
( ~ cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p47,c0]) ).
cnf(p49,plain,
( xsd_string(sk1)
| ~ cA(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p48,c3]) ).
cnf(p52,plain,
( ~ cA(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p65,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p64,p52]) ).
cnf(p66,plain,
( xsd_string(sk1)
| cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p65]) ).
cnf(p68,plain,
( cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p66]) ).
cnf(c15,plain,
( ~ cB(sk2)
| ~ cB(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p43,plain,
( ~ cB(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c15]) ).
cnf(p44,plain,
( ~ cB(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p43,c0]) ).
cnf(p45,plain,
( xsd_string(sk1)
| ~ cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p44,c3]) ).
cnf(p46,plain,
( ~ cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p45]) ).
cnf(p70,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p68,p46]) ).
cnf(p71,plain,
( xsd_string(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p70]) ).
cnf(p73,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p71]) ).
cnf(p77,plain,
( cowlNothing(sk0)
| cB(sk2)
| cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p69,p73]) ).
cnf(p80,plain,
( cB(sk2)
| cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p77]) ).
cnf(c26,plain,
( ~ cA(sk2)
| ~ cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p56,plain,
( ~ cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c26]) ).
cnf(p59,plain,
( ~ cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p56,c0]) ).
cnf(p76,plain,
( ~ cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p73,p59]) ).
cnf(p79,plain,
( ~ cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p76]) ).
cnf(p81,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p80,p79]) ).
cnf(p82,plain,
( xsd_integer(sk1)
| cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p81]) ).
cnf(p84,plain,
( cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p82]) ).
cnf(c24,plain,
( ~ cB(sk2)
| ~ cB(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p54,plain,
( ~ cB(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(factoring,[status(thm)],[c24]) ).
cnf(p55,plain,
( ~ cB(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p54,c0]) ).
cnf(p75,plain,
( ~ cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p73,p55]) ).
cnf(p78,plain,
( ~ cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p85,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p84,p78]) ).
cnf(p86,plain,
( xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p85]) ).
cnf(p88,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p86]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p74,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p73,c2]) ).
cnf(p89,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p88,p74]) ).
cnf(p90,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p89]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p91,plain,
$false,
inference(resolution,[status(thm)],[p90,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS168+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.57 % Computer : n026.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Wed Sep 23 19:37:09 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.28/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.28/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------