%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS174+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 : n004.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 01:53:24 PM UTC 2026
% Result : Theorem 4.55s 1.12s
% Output : Proof 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 6
% Syntax : Number of formulae : 96 ( 8 unt; 0 def)
% Number of atoms : 389 ( 33 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 405 ( 112 ~; 256 |; 29 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 2 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,conjecture,
( ! [X] :
( cA_and_B(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f14_neg,negated_conjecture,
~ ( ! [X] :
( cA_and_B(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f14_nnf,plain,
( ? [X] :
( ( ( cA(X)
| cB(X) )
& ~ cA_and_B(X) )
| ( ~ cA(X)
& ~ cB(X)
& cA_and_B(X) ) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f14_neg]) ).
fof(f14_sk,plain,
( ( ( cA(sk2)
| cB(sk2) )
& ~ cA_and_B(sk2) )
| ( ~ cA(sk2)
& ~ cB(sk2)
& cA_and_B(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])],[f14_nnf]) ).
cnf(c33,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f7,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f7_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p53,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c33,c7]) ).
fof(f8,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f8_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c10,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p58,plain,
( xsd_integer(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p53,c10]) ).
cnf(p61,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p58]) ).
cnf(c27,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p50,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c27,c7]) ).
cnf(p64,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p61,p50]) ).
cnf(p65,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| xsd_string(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p64]) ).
cnf(p69,plain,
( cA(sk2)
| cB(sk2)
| xsd_string(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p65]) ).
cnf(p72,plain,
( cA(sk2)
| xsd_string(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p69]) ).
cnf(p74,plain,
( xsd_string(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p72]) ).
cnf(c9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p75,plain,
( ~ xsd_integer(sk1)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p74,c9]) ).
cnf(p76,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p75,p61]) ).
cnf(p77,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p76]) ).
cnf(p81,plain,
( cA(sk2)
| cB(sk2)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p77]) ).
cnf(p84,plain,
( cA(sk2)
| cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p81]) ).
cnf(p86,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p84]) ).
cnf(c8,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p87,plain,
( cA(sk2)
| cB(sk2)
| cA_and_B(sk2) ),
inference(resolution,[status(thm)],[p86,c8]) ).
fof(f11,axiom,
! [X] :
( cB(X)
<=> X = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f11_nnf,plain,
! [X] :
( ( X != ib
| cB(X) )
& ( X = ib
| ~ cB(X) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( ( X != ib
| cB(X) )
& ( X = ib
| ~ cB(X) ) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c16,plain,
( X0 = ib
| ~ cB(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p88,plain,
( sk2 = ib
| cA(sk2)
| cA_and_B(sk2) ),
inference(resolution,[status(thm)],[p87,c16]) ).
fof(f10,axiom,
! [X] :
( cA_and_B(X)
<=> ( X = ia
| X = ib ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f10_nnf,plain,
! [X] :
( ( ( X != ia
& X != ib )
| cA_and_B(X) )
& ( X = ia
| X = ib
| ~ cA_and_B(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ( ( X != ia
& X != ib )
| cA_and_B(X) )
& ( X = ia
| X = ib
| ~ cA_and_B(X) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c14,plain,
( X0 != ib
| cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p91,plain,
( cA_and_B(sk2)
| cA(sk2)
| cA_and_B(sk2) ),
inference(resolution,[status(thm)],[p88,c14]) ).
cnf(p93,plain,
( cA(sk2)
| cA_and_B(sk2) ),
inference(factoring,[status(thm)],[p91]) ).
cnf(c13,plain,
( X0 = ia
| X0 = ib
| ~ cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p94,plain,
( sk2 = ia
| sk2 = ib
| cA(sk2) ),
inference(resolution,[status(thm)],[p93,c13]) ).
cnf(c17,plain,
( X0 != ib
| cB(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p99,plain,
( cB(sk2)
| sk2 = ia
| cA(sk2) ),
inference(resolution,[status(thm)],[p94,c17]) ).
fof(f9,axiom,
! [X] :
( cA(X)
<=> X = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f9_nnf,plain,
! [X] :
( ( X != ia
| cA(X) )
& ( X = ia
| ~ cA(X) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( ( X != ia
| cA(X) )
& ( X = ia
| ~ cA(X) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c12,plain,
( X0 != ia
| cA(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p105,plain,
( cA(sk2)
| cB(sk2)
| cA(sk2) ),
inference(resolution,[status(thm)],[p99,c12]) ).
cnf(p115,plain,
( cB(sk2)
| cA(sk2) ),
inference(factoring,[status(thm)],[p105]) ).
cnf(c34,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p54,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c34,c7]) ).
cnf(p59,plain,
( xsd_integer(sk1)
| ~ cA_and_B(sk2)
| ~ cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p54,c10]) ).
cnf(p62,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p59]) ).
cnf(p120,plain,
( ~ cA_and_B(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p115,p62]) ).
cnf(p125,plain,
( cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p120,p93]) ).
cnf(p129,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p125]) ).
cnf(c28,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p51,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c28,c7]) ).
cnf(p130,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p129,p51]) ).
cnf(p131,plain,
( ~ cA_and_B(sk2)
| ~ cB(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p130]) ).
cnf(p132,plain,
( cA(sk2)
| ~ cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p131,p115]) ).
cnf(p133,plain,
( ~ cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p132]) ).
cnf(p134,plain,
( cA(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p133,p93]) ).
cnf(p135,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p134]) ).
cnf(p136,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p135,c9]) ).
cnf(p137,plain,
( cowlNothing(sk0)
| cA(sk2)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p136,p129]) ).
cnf(p138,plain,
( cowlNothing(sk0)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p137]) ).
cnf(p140,plain,
( cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p138]) ).
cnf(p141,plain,
cA(sk2),
inference(resolution,[status(thm)],[p140,c8]) ).
cnf(c11,plain,
( X0 = ia
| ~ cA(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p142,plain,
sk2 = ia,
inference(resolution,[status(thm)],[p141,c11]) ).
cnf(c36,plain,
( ~ cA_and_B(sk2)
| ~ cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p55,plain,
( ~ cA_and_B(sk2)
| ~ cA(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c36,c7]) ).
cnf(p60,plain,
( xsd_integer(sk1)
| ~ cA_and_B(sk2)
| ~ cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p55,c10]) ).
cnf(p63,plain,
( ~ cA_and_B(sk2)
| ~ cA(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p60]) ).
cnf(p146,plain,
( ~ cA_and_B(ia)
| ~ cA(ia)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(demodulation,[status(thm)],[p142,p63]) ).
cnf(p44,plain,
cA(ia),
inference(equality_resolution,[status(thm)],[c12]) ).
cnf(p147,plain,
( ~ cA_and_B(ia)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p146,p44]) ).
cnf(c15,plain,
( X0 != ia
| cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p48,plain,
cA_and_B(ia),
inference(equality_resolution,[status(thm)],[c15]) ).
cnf(p148,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p147,p48]) ).
cnf(c30,plain,
( ~ cA_and_B(sk2)
| ~ cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p52,plain,
( ~ cA_and_B(sk2)
| ~ cA(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c30,c7]) ).
cnf(p144,plain,
( ~ cA_and_B(ia)
| ~ cA(ia)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(demodulation,[status(thm)],[p142,p52]) ).
cnf(p150,plain,
( ~ cA_and_B(ia)
| ~ cA(ia)
| xsd_string(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p148,p144]) ).
cnf(p152,plain,
( ~ cA_and_B(ia)
| ~ cA(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p150]) ).
cnf(p153,plain,
( ~ cA_and_B(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p152,p44]) ).
cnf(p154,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p153,p48]) ).
cnf(p155,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p154,c9]) ).
cnf(p156,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p155,p148]) ).
cnf(p157,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p156]) ).
cnf(p158,plain,
$false,
inference(resolution,[status(thm)],[p157,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS174+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 19:35:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.55/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.55/1.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------