%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS143+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 : 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 01:53:19 PM UTC 2026
% Result : Theorem 2.96s 0.89s
% Output : Proof 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 86 ( 6 unt; 0 def)
% Number of atoms : 334 ( 27 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 350 ( 102 ~; 212 |; 26 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 75 ( 26 sgn 30 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,conjecture,
( ! [X] :
( cc(X)
=> ( ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 )
& ? [Y0] : rp(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f11_neg,negated_conjecture,
~ ( ! [X] :
( cc(X)
=> ( ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 )
& ? [Y0] : rp(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
( ? [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0] : ~ rp(X,Y0) )
& cc(X) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
! [Y0] :
( ( ( ( sk4 != sk5
& rp(sk3,sk5)
& rp(sk3,sk4) )
| ~ rp(sk3,Y0) )
& cc(sk3) )
| ( ~ xsd_integer(sk2)
& ~ xsd_string(sk2) )
| ( xsd_integer(sk2)
& xsd_string(sk2) )
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5])],[f11_nnf]) ).
cnf(c21,plain,
( cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_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(p33,plain,
( cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c21,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(p37,plain,
( xsd_integer(sk2)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p33,c10]) ).
cnf(p41,plain,
( cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p37]) ).
cnf(c17,plain,
( cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p29,plain,
( cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c17,c7]) ).
cnf(p45,plain,
( cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p41,p29]) ).
cnf(p49,plain,
( cc(sk3)
| xsd_string(sk2)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p45]) ).
cnf(p51,plain,
( xsd_string(sk2)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(c9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p52,plain,
( ~ xsd_integer(sk2)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p51,c9]) ).
cnf(p53,plain,
( cc(sk3)
| cowlNothing(sk1)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p52,p41]) ).
cnf(p54,plain,
( cc(sk3)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p53]) ).
cnf(p56,plain,
( cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p54]) ).
cnf(c8,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p57,plain,
cc(sk3),
inference(resolution,[status(thm)],[p56,c8]) ).
fof(f9,axiom,
! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f9_nnf,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( rp(X,sk0(X))
| ~ cc(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f9_nnf]) ).
cnf(c11,plain,
( rp(X0,sk0(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p58,plain,
rp(sk3,sk0(sk3)),
inference(resolution,[status(thm)],[p57,c11]) ).
cnf(c22,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p34,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(p38,plain,
( xsd_integer(sk2)
| rp(sk3,sk4)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p34,c10]) ).
cnf(p42,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p38]) ).
cnf(p60,plain,
( rp(sk3,sk4)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p58,p42]) ).
fof(f10,axiom,
! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f10_nnf,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) )
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c12,plain,
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p59,plain,
( X0 = X1
| ~ rp(sk3,X1)
| ~ rp(sk3,X0) ),
inference(resolution,[status(thm)],[p57,c12]) ).
cnf(p64,plain,
( sk4 = X0
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p60,p59]) ).
cnf(c23,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p35,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c23,c7]) ).
cnf(p39,plain,
( xsd_integer(sk2)
| rp(sk3,sk5)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p35,c10]) ).
cnf(p43,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p39]) ).
cnf(p61,plain,
( rp(sk3,sk5)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p58,p43]) ).
cnf(p69,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk4 = sk5
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p64,p61]) ).
cnf(p87,plain,
( xsd_integer(sk2)
| sk4 = sk5
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p69]) ).
cnf(p109,plain,
( sk4 = sk5
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p87]) ).
cnf(c24,plain,
( sk4 != sk5
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p36,plain,
( sk4 != sk5
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c24,c7]) ).
cnf(p40,plain,
( xsd_integer(sk2)
| sk4 != sk5
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p36,c10]) ).
cnf(p44,plain,
( sk4 != sk5
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p40]) ).
cnf(p62,plain,
( sk4 != sk5
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p58,p44]) ).
cnf(p139,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p109,p62]) ).
cnf(p146,plain,
( xsd_integer(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p139]) ).
cnf(p149,plain,
( xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p146]) ).
cnf(c18,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p30,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c18,c7]) ).
cnf(p150,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p149,p30]) ).
cnf(p153,plain,
( rp(sk3,sk4)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p150]) ).
cnf(p156,plain,
( rp(sk3,sk4)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p153,p58]) ).
cnf(p159,plain,
( sk4 = X0
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p156,p59]) ).
cnf(c19,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p31,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c19,c7]) ).
cnf(p151,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p149,p31]) ).
cnf(p154,plain,
( rp(sk3,sk5)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p151]) ).
cnf(p157,plain,
( rp(sk3,sk5)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p154,p58]) ).
cnf(p164,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| sk4 = sk5
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p159,p157]) ).
cnf(p182,plain,
( xsd_string(sk2)
| sk4 = sk5
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p164]) ).
cnf(p204,plain,
( sk4 = sk5
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p182]) ).
cnf(c20,plain,
( sk4 != sk5
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p32,plain,
( sk4 != sk5
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c20,c7]) ).
cnf(p152,plain,
( sk4 != sk5
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p149,p32]) ).
cnf(p155,plain,
( sk4 != sk5
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p152]) ).
cnf(p158,plain,
( sk4 != sk5
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p155,p58]) ).
cnf(p234,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p204,p158]) ).
cnf(p241,plain,
( xsd_string(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p234]) ).
cnf(p244,plain,
( xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p241]) ).
cnf(p245,plain,
( ~ xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p244,c9]) ).
cnf(p246,plain,
( cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p245,p149]) ).
cnf(p247,plain,
cowlNothing(sk1),
inference(factoring,[status(thm)],[p246]) ).
cnf(p248,plain,
$false,
inference(resolution,[status(thm)],[p247,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS143+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 19:33:11 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.96/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------