%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS142+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 01:53:19 PM UTC 2026
% Result : Theorem 3.71s 1.09s
% Output : Proof 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 4
% Syntax : Number of formulae : 161 ( 7 unt; 0 def)
% Number of atoms : 707 ( 55 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 694 ( 148 ~; 504 |; 31 &)
% ( 3 <=>; 8 =>; 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 88 ( 35 sgn 29 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,conjecture,
( ! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 ) )
& ! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f10_neg,negated_conjecture,
~ ( ! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 ) )
& ! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f10_nnf,plain,
( ? [X] :
( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
& cc(X) )
| ? [X] :
( ! [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)],[f10_neg]) ).
fof(f10_sk,plain,
! [Y0] :
( ( sk5 != sk6
& rp(sk4,sk6)
& rp(sk4,sk5)
& cc(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,sk6])],[f10_nnf]) ).
cnf(c29,plain,
( cc(sk4)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f7,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/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(p46,plain,
( cc(sk4)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c29,c7]) ).
fof(f8,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/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(p47,plain,
( xsd_integer(sk2)
| cc(sk4)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p46,c10]) ).
cnf(p48,plain,
( cc(sk4)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p47]) ).
cnf(c21,plain,
( cc(sk4)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p45,plain,
( cc(sk4)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c21,c7]) ).
cnf(p49,plain,
( cc(sk4)
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p48,p45]) ).
cnf(p85,plain,
( cc(sk4)
| cc(sk3)
| xsd_string(sk2)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p88,plain,
( cc(sk4)
| xsd_string(sk2)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p85]) ).
cnf(p90,plain,
( xsd_string(sk2)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p88]) ).
cnf(c9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p91,plain,
( ~ xsd_integer(sk2)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p90,c9]) ).
cnf(p92,plain,
( cc(sk4)
| cc(sk3)
| cowlNothing(sk1)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p91,p48]) ).
cnf(p93,plain,
( cc(sk4)
| cc(sk3)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p92]) ).
cnf(p96,plain,
( cc(sk4)
| cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p93]) ).
cnf(p98,plain,
( cc(sk4)
| cc(sk3)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p96]) ).
cnf(c8,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p99,plain,
( cc(sk4)
| cc(sk3) ),
inference(resolution,[status(thm)],[p98,c8]) ).
fof(f9,axiom,
! [X] :
( cc(X)
=> ( ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 )
& ? [Y0] : rp(X,Y0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f9_nnf,plain,
! [X] :
( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) )
& ? [Y0] : rp(X,Y0) )
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y0,Y1] :
( ( ( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) )
& rp(X,sk0(X)) )
| ~ cc(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f9_nnf]) ).
cnf(c12,plain,
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p101,plain,
( X0 = X1
| ~ rp(sk4,X1)
| ~ rp(sk4,X0)
| cc(sk3) ),
inference(resolution,[status(thm)],[p99,c12]) ).
cnf(c11,plain,
( rp(X0,sk0(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p100,plain,
( rp(sk4,sk0(sk4))
| cc(sk3) ),
inference(resolution,[status(thm)],[p99,c11]) ).
cnf(p104,plain,
( cc(sk3)
| sk0(sk4) = X0
| ~ rp(sk4,X0)
| cc(sk3) ),
inference(resolution,[status(thm)],[p101,p100]) ).
cnf(p105,plain,
( sk0(sk4) = X0
| ~ rp(sk4,X0)
| cc(sk3) ),
inference(factoring,[status(thm)],[p104]) ).
cnf(c30,plain,
( rp(sk4,sk5)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p58,plain,
( rp(sk4,sk5)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c30,c7]) ).
cnf(p59,plain,
( xsd_integer(sk2)
| rp(sk4,sk5)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p58,c10]) ).
cnf(p60,plain,
( rp(sk4,sk5)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p59]) ).
cnf(p106,plain,
( cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1)
| sk0(sk4) = sk5
| cc(sk3) ),
inference(resolution,[status(thm)],[p105,p60]) ).
cnf(p108,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk0(sk4) = sk5
| cc(sk3) ),
inference(factoring,[status(thm)],[p106]) ).
cnf(c31,plain,
( rp(sk4,sk6)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p63,plain,
( rp(sk4,sk6)
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c31,c7]) ).
cnf(p64,plain,
( xsd_integer(sk2)
| rp(sk4,sk6)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p63,c10]) ).
cnf(p65,plain,
( rp(sk4,sk6)
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p64]) ).
cnf(p107,plain,
( cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1)
| sk0(sk4) = sk6
| cc(sk3) ),
inference(resolution,[status(thm)],[p105,p65]) ).
cnf(p117,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk0(sk4) = sk6
| cc(sk3) ),
inference(factoring,[status(thm)],[p107]) ).
cnf(p124,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = sk6
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(superposition,[status(thm)],[p108,p117]) ).
cnf(p166,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = sk6
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p124]) ).
cnf(p174,plain,
( xsd_integer(sk2)
| sk5 = sk6
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p166]) ).
cnf(p176,plain,
( sk5 = sk6
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p174]) ).
cnf(c32,plain,
( sk5 != sk6
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p68,plain,
( sk5 != sk6
| cc(sk3)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c32,c7]) ).
cnf(p69,plain,
( xsd_integer(sk2)
| sk5 != sk6
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p68,c10]) ).
cnf(p71,plain,
( sk5 != sk6
| cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p69]) ).
cnf(p184,plain,
( cc(sk3)
| xsd_integer(sk2)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p176,p71]) ).
cnf(p186,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p184]) ).
cnf(p189,plain,
( xsd_integer(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p186]) ).
cnf(p191,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p189]) ).
cnf(c22,plain,
( rp(sk4,sk5)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p50,plain,
( rp(sk4,sk5)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(p192,plain,
( rp(sk4,sk5)
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p191,p50]) ).
cnf(p198,plain,
( rp(sk4,sk5)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p192]) ).
cnf(p200,plain,
( rp(sk4,sk5)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p198]) ).
cnf(p202,plain,
( sk0(sk4) = sk5
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p200,p105]) ).
cnf(p203,plain,
( sk0(sk4) = sk5
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p202]) ).
cnf(c23,plain,
( rp(sk4,sk6)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p52,plain,
( rp(sk4,sk6)
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c23,c7]) ).
cnf(p193,plain,
( rp(sk4,sk6)
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p191,p52]) ).
cnf(p204,plain,
( rp(sk4,sk6)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p193]) ).
cnf(p211,plain,
( rp(sk4,sk6)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p204]) ).
cnf(p213,plain,
( sk0(sk4) = sk6
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p211,p105]) ).
cnf(p219,plain,
( sk0(sk4) = sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p213]) ).
cnf(p226,plain,
( sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(superposition,[status(thm)],[p203,p219]) ).
cnf(p269,plain,
( sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p226]) ).
cnf(p277,plain,
( sk5 = sk6
| xsd_string(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p269]) ).
cnf(p282,plain,
( sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p277]) ).
cnf(c24,plain,
( sk5 != sk6
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p54,plain,
( sk5 != sk6
| cc(sk3)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c24,c7]) ).
cnf(p194,plain,
( sk5 != sk6
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p191,p54]) ).
cnf(p214,plain,
( sk5 != sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p194]) ).
cnf(p217,plain,
( sk5 != sk6
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p214]) ).
cnf(p287,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p282,p217]) ).
cnf(p289,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p287]) ).
cnf(p292,plain,
( xsd_string(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p289]) ).
cnf(p294,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p292]) ).
cnf(p295,plain,
( ~ xsd_integer(sk2)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p294,c9]) ).
cnf(p296,plain,
( cowlNothing(sk1)
| cc(sk3)
| cowlNothing(sk1)
| cc(sk3) ),
inference(resolution,[status(thm)],[p295,p191]) ).
cnf(p297,plain,
( cowlNothing(sk1)
| cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p296]) ).
cnf(p299,plain,
( cowlNothing(sk1)
| cc(sk3) ),
inference(factoring,[status(thm)],[p297]) ).
cnf(p300,plain,
cc(sk3),
inference(resolution,[status(thm)],[p299,c8]) ).
cnf(p301,plain,
rp(sk3,sk0(sk3)),
inference(resolution,[status(thm)],[p300,c11]) ).
cnf(c33,plain,
( cc(sk4)
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p73,plain,
( cc(sk4)
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c33,c7]) ).
cnf(p75,plain,
( xsd_integer(sk2)
| cc(sk4)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p73,c10]) ).
cnf(p76,plain,
( cc(sk4)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p303,plain,
( cc(sk4)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p301,p76]) ).
cnf(c25,plain,
( cc(sk4)
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p56,plain,
( cc(sk4)
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c25,c7]) ).
cnf(p307,plain,
( cc(sk4)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cc(sk4)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p303,p56]) ).
cnf(p312,plain,
( cc(sk4)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cc(sk4)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p307]) ).
cnf(p314,plain,
( ~ rp(sk3,X0)
| xsd_string(sk2)
| cc(sk4)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p312]) ).
cnf(p315,plain,
( xsd_string(sk2)
| cc(sk4)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p314,p301]) ).
cnf(p316,plain,
( ~ xsd_integer(sk2)
| cc(sk4)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p315,c9]) ).
cnf(p317,plain,
( cc(sk4)
| cowlNothing(sk1)
| cc(sk4)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p316,p303]) ).
cnf(p318,plain,
( cc(sk4)
| cc(sk4)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p317]) ).
cnf(p320,plain,
( cc(sk4)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p318]) ).
cnf(p321,plain,
cc(sk4),
inference(resolution,[status(thm)],[p320,c8]) ).
cnf(p323,plain,
( X0 = X1
| ~ rp(sk4,X1)
| ~ rp(sk4,X0) ),
inference(resolution,[status(thm)],[p321,c12]) ).
cnf(c34,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p74,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c34,c7]) ).
cnf(p77,plain,
( xsd_integer(sk2)
| rp(sk4,sk5)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p74,c10]) ).
cnf(p79,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p77]) ).
cnf(p304,plain,
( rp(sk4,sk5)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p301,p79]) ).
cnf(p324,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = X0
| ~ rp(sk4,X0) ),
inference(resolution,[status(thm)],[p323,p304]) ).
cnf(c35,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p78,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c35,c7]) ).
cnf(p80,plain,
( xsd_integer(sk2)
| rp(sk4,sk6)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p78,c10]) ).
cnf(p81,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p80]) ).
cnf(p305,plain,
( rp(sk4,sk6)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p301,p81]) ).
cnf(p327,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = sk6 ),
inference(resolution,[status(thm)],[p324,p305]) ).
cnf(p354,plain,
( xsd_integer(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = sk6 ),
inference(factoring,[status(thm)],[p327]) ).
cnf(p366,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| sk5 = sk6 ),
inference(factoring,[status(thm)],[p354]) ).
cnf(c36,plain,
( sk5 != sk6
| ~ rp(sk3,X1)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p82,plain,
( sk5 != sk6
| ~ rp(sk3,X0)
| ~ xsd_string(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c36,c7]) ).
cnf(p83,plain,
( xsd_integer(sk2)
| sk5 != sk6
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p82,c10]) ).
cnf(p84,plain,
( sk5 != sk6
| ~ rp(sk3,X0)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p83]) ).
cnf(p306,plain,
( sk5 != sk6
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p301,p84]) ).
cnf(p372,plain,
( xsd_integer(sk2)
| cowlNothing(sk1)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p366,p306]) ).
cnf(p374,plain,
( xsd_integer(sk2)
| xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p372]) ).
cnf(p376,plain,
( xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p374]) ).
cnf(c26,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p61,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c26,c7]) ).
cnf(p377,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p376,p61]) ).
cnf(p380,plain,
( rp(sk4,sk5)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p377]) ).
cnf(p381,plain,
( rp(sk4,sk5)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p380,p301]) ).
cnf(p383,plain,
( sk5 = X0
| ~ rp(sk4,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p381,p323]) ).
cnf(c27,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p66,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c27,c7]) ).
cnf(p378,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p376,p66]) ).
cnf(p382,plain,
( rp(sk4,sk6)
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p378]) ).
cnf(p392,plain,
( rp(sk4,sk6)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p382,p301]) ).
cnf(p396,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p383,p392]) ).
cnf(p428,plain,
( xsd_string(sk2)
| sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p396]) ).
cnf(p430,plain,
( sk5 = sk6
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p428]) ).
cnf(c28,plain,
( sk5 != sk6
| ~ rp(sk3,X1)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1)
| ~ cowlThing(sk1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p70,plain,
( sk5 != sk6
| ~ rp(sk3,X0)
| ~ xsd_integer(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[c28,c7]) ).
cnf(p379,plain,
( sk5 != sk6
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p376,p70]) ).
cnf(p390,plain,
( sk5 != sk6
| ~ rp(sk3,X0)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p379]) ).
cnf(p420,plain,
( sk5 != sk6
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p390,p301]) ).
cnf(p436,plain,
( xsd_string(sk2)
| cowlNothing(sk1)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p430,p420]) ).
cnf(p438,plain,
( xsd_string(sk2)
| xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p436]) ).
cnf(p440,plain,
( xsd_string(sk2)
| cowlNothing(sk1) ),
inference(factoring,[status(thm)],[p438]) ).
cnf(p441,plain,
( ~ xsd_integer(sk2)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p440,c9]) ).
cnf(p442,plain,
( cowlNothing(sk1)
| cowlNothing(sk1) ),
inference(resolution,[status(thm)],[p441,p376]) ).
cnf(p443,plain,
cowlNothing(sk1),
inference(factoring,[status(thm)],[p442]) ).
cnf(p444,plain,
$false,
inference(resolution,[status(thm)],[p443,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS142+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:32:17 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.71/1.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.71/1.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------