%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS175+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 : 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 2.37s 0.79s
% Output : Proof 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 6
% Syntax : Number of formulae : 110 ( 8 unt; 0 def)
% Number of atoms : 538 ( 73 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 625 ( 197 ~; 387 |; 33 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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(f10,axiom,
! [X] :
( cA_and_B(X)
<=> ( cB(X)
| cA(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f10_nnf,plain,
! [X] :
( ( ( ~ cB(X)
& ~ cA(X) )
| cA_and_B(X) )
& ( cB(X)
| cA(X)
| ~ cA_and_B(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ( ( ~ cB(X)
& ~ cA(X) )
| cA_and_B(X) )
& ( cB(X)
| cA(X)
| ~ cA_and_B(X) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c13,plain,
( cB(X0)
| cA(X0)
| ~ cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f11,axiom,
! [X] :
( cB(X)
<=> X = ib ),
file('/export/starexec/sandbox/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(c17,plain,
( X0 != ib
| cB(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
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]) ).
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]) ).
fof(f14,conjecture,
( cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( cA_and_B(X)
<=> ( X = ia
| X = ib ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f14_neg,negated_conjecture,
~ ( cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( cA_and_B(X)
<=> ( X = ia
| X = ib ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f14_nnf,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( ( ( X = ia
| X = ib )
& ~ cA_and_B(X) )
| ( X != ia
& X != ib
& 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,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ( ( sk2 = ia
| sk2 = ib )
& ~ cA_and_B(sk2) )
| ( sk2 != ia
& sk2 != ib
& 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,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p55,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c33]) ).
cnf(p68,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[c10,p55]) ).
cnf(p75,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(factoring,[status(thm)],[p68]) ).
cnf(p78,plain,
( ~ cowlThing(ib)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[p75,c7]) ).
cnf(p81,plain,
( sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[p78,c7]) ).
cnf(p89,plain,
( sk2 = ia
| cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cB(sk2) ),
inference(resolution,[status(thm)],[c17,p81]) ).
fof(f9,axiom,
! [X] :
( cA(X)
<=> X = ia ),
file('/export/starexec/sandbox/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(p90,plain,
( cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cB(sk2) ),
inference(resolution,[status(thm)],[p89,c12]) ).
cnf(c27,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p54,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c27]) ).
cnf(p93,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p90,p54]) ).
cnf(p104,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| cA_and_B(sk2)
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p93]) ).
cnf(p106,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| sk2 = ia
| sk2 = ib
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p104]) ).
cnf(p107,plain,
( ~ cowlThing(ib)
| sk2 = ia
| sk2 = ib
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p106,c7]) ).
cnf(p108,plain,
( sk2 = ia
| sk2 = ib
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p107,c7]) ).
cnf(p109,plain,
( cB(sk2)
| sk2 = ia
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p108,c17]) ).
cnf(p110,plain,
( sk2 = ia
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p109]) ).
cnf(p111,plain,
( cA(sk2)
| xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p110,c12]) ).
cnf(p112,plain,
( xsd_string(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p111]) ).
cnf(c9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p113,plain,
( ~ xsd_integer(sk1)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p112,c9]) ).
cnf(p114,plain,
( cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(resolution,[status(thm)],[p113,p90]) ).
cnf(p115,plain,
( cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p114]) ).
cnf(p119,plain,
( cA(sk2)
| cA_and_B(sk2)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p115]) ).
cnf(p122,plain,
( cA(sk2)
| cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p119]) ).
cnf(p124,plain,
( cA(sk2)
| cA_and_B(sk2)
| cowlNothing(sk0)
| cB(sk2) ),
inference(factoring,[status(thm)],[p122]) ).
cnf(c8,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p125,plain,
( cA(sk2)
| cA_and_B(sk2)
| cB(sk2) ),
inference(resolution,[status(thm)],[p124,c8]) ).
cnf(c15,plain,
( ~ cB(X0)
| cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p126,plain,
( cA_and_B(sk2)
| cA(sk2)
| cA_and_B(sk2) ),
inference(resolution,[status(thm)],[p125,c15]) ).
cnf(p128,plain,
( cA(sk2)
| cA_and_B(sk2) ),
inference(factoring,[status(thm)],[p126]) ).
cnf(p130,plain,
( cA(sk2)
| cB(sk2)
| cA(sk2) ),
inference(resolution,[status(thm)],[c13,p128]) ).
cnf(p131,plain,
( cB(sk2)
| cA(sk2) ),
inference(factoring,[status(thm)],[p130]) ).
cnf(c16,plain,
( X0 = ib
| ~ cB(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p132,plain,
( sk2 = ib
| cA(sk2) ),
inference(resolution,[status(thm)],[p131,c16]) ).
cnf(c34,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p56,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c34]) ).
cnf(p67,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[c10,p56]) ).
cnf(p74,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(factoring,[status(thm)],[p67]) ).
cnf(p134,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cA(sk2) ),
inference(resolution,[status(thm)],[p132,p74]) ).
cnf(p136,plain,
( cA(sk2)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cA(sk2) ),
inference(resolution,[status(thm)],[p134,p128]) ).
cnf(p137,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cA(sk2) ),
inference(factoring,[status(thm)],[p136]) ).
cnf(p138,plain,
( ~ cowlThing(ib)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cA(sk2) ),
inference(resolution,[status(thm)],[p137,c7]) ).
cnf(p139,plain,
( cowlNothing(sk0)
| xsd_integer(sk1)
| cA(sk2) ),
inference(resolution,[status(thm)],[p138,c7]) ).
cnf(c28,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p52,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c28]) ).
cnf(p140,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| xsd_string(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p139,p52]) ).
cnf(p142,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ib
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p140]) ).
cnf(p143,plain,
( cA(sk2)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p142,p132]) ).
cnf(p144,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p143]) ).
cnf(p145,plain,
( cA(sk2)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p144,p128]) ).
cnf(p146,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p145]) ).
cnf(p147,plain,
( ~ cowlThing(ib)
| xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p146,c7]) ).
cnf(p148,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p147,c7]) ).
cnf(p149,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p148,c9]) ).
cnf(p150,plain,
( cowlNothing(sk0)
| cA(sk2)
| cowlNothing(sk0)
| cA(sk2) ),
inference(resolution,[status(thm)],[p149,p139]) ).
cnf(p151,plain,
( cowlNothing(sk0)
| cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p150]) ).
cnf(p153,plain,
( cowlNothing(sk0)
| cA(sk2) ),
inference(factoring,[status(thm)],[p151]) ).
cnf(p154,plain,
cA(sk2),
inference(resolution,[status(thm)],[p153,c8]) ).
cnf(c11,plain,
( X0 = ia
| ~ cA(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p157,plain,
sk2 = ia,
inference(resolution,[status(thm)],[p154,c11]) ).
cnf(c30,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p61,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c30]) ).
cnf(p159,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| ia != ia
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(demodulation,[status(thm)],[p157,p61]) ).
cnf(p169,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(equality_resolution,[status(thm)],[p159]) ).
cnf(c36,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p53,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c7,c36]) ).
cnf(p66,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[c10,p53]) ).
cnf(p73,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(sk2)
| sk2 != ia
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(factoring,[status(thm)],[p66]) ).
cnf(p161,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| ia != ia
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(demodulation,[status(thm)],[p157,p73]) ).
cnf(p164,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(equality_resolution,[status(thm)],[p161]) ).
cnf(p86,plain,
cA(ia),
inference(equality_resolution,[status(thm)],[c12]) ).
cnf(c14,plain,
( ~ cA(X0)
| cA_and_B(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p87,plain,
cA_and_B(ia),
inference(resolution,[status(thm)],[p86,c14]) ).
cnf(p165,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[p164,p87]) ).
cnf(p166,plain,
( ~ cowlThing(ib)
| cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[p165,c7]) ).
cnf(p167,plain,
( cowlNothing(sk0)
| xsd_integer(sk1) ),
inference(resolution,[status(thm)],[p166,c7]) ).
cnf(p170,plain,
( cowlNothing(sk0)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p169,p167]) ).
cnf(p171,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ cA_and_B(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p170]) ).
cnf(p172,plain,
( ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p171,p87]) ).
cnf(p173,plain,
( ~ cowlThing(ib)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p172,c7]) ).
cnf(p174,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p173,c7]) ).
cnf(p175,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p174,c9]) ).
cnf(p176,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p175,p167]) ).
cnf(p177,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p176]) ).
cnf(p178,plain,
$false,
inference(resolution,[status(thm)],[p177,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS175+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 19:35:50 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.37/0.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.37/0.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------