%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS132+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 : n007.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 01:53:07 PM UTC 2026
% Result : Theorem 3.97s 1.10s
% Output : Proof 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 12
% Syntax : Number of formulae : 181 ( 4 unt; 0 def)
% Number of atoms : 783 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 777 ( 175 ~; 532 |; 53 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 121 ( 9 sgn 56 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X] :
( cnotB(X)
<=> ! [Y] :
( rr(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f10_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) )
| cnotB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,Y] :
( ( ( ~ cNothing(sk6(X))
& rr(X,sk6(X)) )
| cnotB(X) )
& ( cNothing(Y)
| ~ rr(X,Y)
| ~ cnotB(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6])],[f10_nnf]) ).
cnf(c25,plain,
( rr(X0,sk6(X0))
| cnotB(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f4,axiom,
! [X] :
( cB(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| cB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( ( ~ cowlThing(Y)
| ~ rr(X,Y)
| cB(X) )
& ( ( cowlThing(sk2(X))
& rr(X,sk2(X)) )
| ~ cB(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f4_nnf]) ).
cnf(c12,plain,
( ~ cowlThing(X1)
| ~ rr(X0,X1)
| cB(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p66,plain,
( ~ cowlThing(sk6(X0))
| cB(X0)
| cnotB(X0) ),
inference(resolution,[status(thm)],[c25,c12]) ).
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(p74,plain,
( cB(X0)
| cnotB(X0) ),
inference(resolution,[status(thm)],[p66,c0]) ).
fof(f9,axiom,
! [X] :
( cnotAorB(X)
<=> ( cnotA(X)
& cnotB(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f9_nnf,plain,
! [X] :
( ( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( ( ~ cnotA(X)
| ~ cnotB(X)
| cnotAorB(X) )
& ( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c23,plain,
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p76,plain,
( ~ cnotA(X0)
| cnotAorB(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[p74,c23]) ).
fof(f7,axiom,
! [X] :
( cnotA(X)
<=> ! [Y] :
( rq(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) )
| cnotA(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( ( ( ~ cNothing(sk4(X))
& rq(X,sk4(X)) )
| cnotA(X) )
& ( cNothing(Y)
| ~ rq(X,Y)
| ~ cnotA(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f7_nnf]) ).
cnf(c16,plain,
( rq(X0,sk4(X0))
| cnotA(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f2,axiom,
! [X] :
( cA(X)
<=> ? [Y] :
( cowlThing(Y)
& rq(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) )
| cA(X) )
& ( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ~ cowlThing(Y)
| ~ rq(X,Y)
| cA(X) )
& ( ( cowlThing(sk0(X))
& rq(X,sk0(X)) )
| ~ cA(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c6,plain,
( ~ cowlThing(X1)
| ~ rq(X0,X1)
| cA(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p64,plain,
( ~ cowlThing(sk4(X0))
| cA(X0)
| cnotA(X0) ),
inference(resolution,[status(thm)],[c16,c6]) ).
cnf(p67,plain,
( cA(X0)
| cnotA(X0) ),
inference(resolution,[status(thm)],[p64,c0]) ).
cnf(p78,plain,
( cA(X0)
| cnotAorB(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[p76,p67]) ).
fof(f8,axiom,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( rs(X,Y)
=> cNothing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) )
| cnotAorB(X) )
& ( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( ( ( ~ cNothing(sk5(X))
& rs(X,sk5(X)) )
| cnotAorB(X) )
& ( cNothing(Y)
| ~ rs(X,Y)
| ~ cnotAorB(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f8_nnf]) ).
cnf(c18,plain,
( cNothing(X1)
| ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p79,plain,
( cNothing(X1)
| ~ rs(X0,X1)
| cA(X0)
| cB(X0) ),
inference(resolution,[status(thm)],[p78,c18]) ).
cnf(c19,plain,
( rs(X0,sk5(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f3,axiom,
! [X] :
( cAorB(X)
<=> ? [Y] :
( cowlThing(Y)
& rs(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| cAorB(X) )
& ( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ( ~ cowlThing(Y)
| ~ rs(X,Y)
| cAorB(X) )
& ( ( cowlThing(sk1(X))
& rs(X,sk1(X)) )
| ~ cAorB(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c9,plain,
( ~ cowlThing(X1)
| ~ rs(X0,X1)
| cAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p65,plain,
( ~ cowlThing(sk5(X0))
| cAorB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[c19,c9]) ).
cnf(p69,plain,
( cAorB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[p65,c0]) ).
cnf(c21,plain,
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p70,plain,
( cnotB(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[p69,c21]) ).
cnf(c24,plain,
( cNothing(X1)
| ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p73,plain,
( cNothing(X1)
| ~ rr(X0,X1)
| cAorB(X0) ),
inference(resolution,[status(thm)],[p70,c24]) ).
cnf(c10,plain,
( rr(X0,sk2(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f11,conjecture,
( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f11_neg,negated_conjecture,
~ ( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
( ? [X] :
( ( ( cA(X)
| cB(X) )
& ~ cAorB(X) )
| ( ~ cA(X)
& ~ cB(X)
& cAorB(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,
( ( ( cA(sk9)
| cB(sk9) )
& ~ cAorB(sk9) )
| ( ~ cA(sk9)
& ~ cB(sk9)
& cAorB(sk9) )
| ( ~ xsd_integer(sk8)
& ~ xsd_string(sk8) )
| ( xsd_integer(sk8)
& xsd_string(sk8) )
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8,sk9])],[f11_nnf]) ).
cnf(c34,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p58,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c34,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(p59,plain,
( xsd_string(sk8)
| cA(sk9)
| cB(sk9)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p58,c3]) ).
cnf(p60,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p59]) ).
cnf(p63,plain,
( cA(sk9)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| rr(sk9,sk2(sk9)) ),
inference(resolution,[status(thm)],[c10,p60]) ).
cnf(p80,plain,
( cA(sk9)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cNothing(sk2(sk9))
| cAorB(sk9) ),
inference(resolution,[status(thm)],[p73,p63]) ).
cnf(p81,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cNothing(sk2(sk9))
| cAorB(sk9) ),
inference(factoring,[status(thm)],[p80]) ).
fof(f5,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cNothing(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( rp(X,sk3(X))
| ~ cNothing(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f5_nnf]) ).
cnf(c13,plain,
( rp(X0,sk3(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p83,plain,
( rp(sk2(sk9),sk3(sk2(sk9)))
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(resolution,[status(thm)],[p81,c13]) ).
fof(f6,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ! [Y] : ~ rp(X,Y)
| ~ cNothing(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ~ rp(X,Y)
| ~ cNothing(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c14,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p82,plain,
( ~ rp(sk2(sk9),X0)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(resolution,[status(thm)],[p81,c14]) ).
cnf(p84,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(resolution,[status(thm)],[p83,p82]) ).
cnf(p85,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(factoring,[status(thm)],[p84]) ).
cnf(p89,plain,
( cA(sk9)
| xsd_string(sk8)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(factoring,[status(thm)],[p85]) ).
cnf(p92,plain,
( cA(sk9)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(factoring,[status(thm)],[p89]) ).
cnf(p94,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9) ),
inference(factoring,[status(thm)],[p92]) ).
cnf(c7,plain,
( rs(X0,sk1(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p95,plain,
( rs(sk9,sk1(sk9))
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p94,c7]) ).
cnf(p96,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cNothing(sk1(sk9))
| cA(sk9)
| cB(sk9) ),
inference(resolution,[status(thm)],[p79,p95]) ).
cnf(p97,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| cNothing(sk1(sk9))
| cA(sk9)
| cB(sk9) ),
inference(factoring,[status(thm)],[p96]) ).
cnf(p99,plain,
( rp(sk1(sk9),sk3(sk1(sk9)))
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(resolution,[status(thm)],[p97,c13]) ).
cnf(p98,plain,
( ~ rp(sk1(sk9),X0)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(resolution,[status(thm)],[p97,c14]) ).
cnf(p100,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(resolution,[status(thm)],[p99,p98]) ).
cnf(p101,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(factoring,[status(thm)],[p100]) ).
cnf(p105,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(factoring,[status(thm)],[p101]) ).
cnf(p108,plain,
( xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(factoring,[status(thm)],[p105]) ).
cnf(p110,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cB(sk9) ),
inference(factoring,[status(thm)],[p108]) ).
cnf(c35,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p51,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(p54,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8) ),
inference(resolution,[status(thm)],[c3,p51]) ).
cnf(p56,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| cowlNothing(sk7)
| xsd_string(sk8) ),
inference(factoring,[status(thm)],[p54]) ).
cnf(p111,plain,
( ~ cAorB(sk9)
| cowlNothing(sk7)
| xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(resolution,[status(thm)],[p110,p56]) ).
cnf(p113,plain,
( ~ cAorB(sk9)
| xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(factoring,[status(thm)],[p111]) ).
cnf(p115,plain,
( ~ cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(factoring,[status(thm)],[p113]) ).
cnf(p116,plain,
( cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(resolution,[status(thm)],[p115,p94]) ).
cnf(p117,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(factoring,[status(thm)],[p116]) ).
cnf(p120,plain,
( xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(factoring,[status(thm)],[p117]) ).
cnf(p122,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| cA(sk9) ),
inference(factoring,[status(thm)],[p120]) ).
cnf(c4,plain,
( rq(X0,sk0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p124,plain,
( rq(sk9,sk0(sk9))
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p122,c4]) ).
cnf(c22,plain,
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p71,plain,
( cnotA(X0)
| cAorB(X0) ),
inference(resolution,[status(thm)],[p69,c22]) ).
cnf(c15,plain,
( cNothing(X1)
| ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p75,plain,
( cNothing(X1)
| ~ rq(X0,X1)
| cAorB(X0) ),
inference(resolution,[status(thm)],[p71,c15]) ).
cnf(p125,plain,
( cNothing(sk0(sk9))
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p124,p75]) ).
cnf(p127,plain,
( rp(sk0(sk9),sk3(sk0(sk9)))
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p125,c13]) ).
cnf(p126,plain,
( ~ rp(sk0(sk9),X0)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p125,c14]) ).
cnf(p131,plain,
( cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p127,p126]) ).
cnf(p132,plain,
( cAorB(sk9)
| xsd_string(sk8)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p131]) ).
cnf(p135,plain,
( cAorB(sk9)
| cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p132]) ).
cnf(p137,plain,
( cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p135]) ).
cnf(c37,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p52,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| ~ xsd_integer(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c37,c0]) ).
cnf(p55,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8) ),
inference(resolution,[status(thm)],[c3,p52]) ).
cnf(p57,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| cowlNothing(sk7)
| xsd_string(sk8) ),
inference(factoring,[status(thm)],[p55]) ).
cnf(p123,plain,
( ~ cAorB(sk9)
| cowlNothing(sk7)
| xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p122,p57]) ).
cnf(p128,plain,
( ~ cAorB(sk9)
| xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p123]) ).
cnf(p130,plain,
( ~ cAorB(sk9)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p128]) ).
cnf(p139,plain,
( xsd_string(sk8)
| cowlNothing(sk7)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p137,p130]) ).
cnf(p140,plain,
( xsd_string(sk8)
| xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p139]) ).
cnf(p142,plain,
( xsd_string(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p140]) ).
cnf(c40,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p62,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c40,c0]) ).
cnf(p146,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p142,p62]) ).
cnf(p149,plain,
( cA(sk9)
| cB(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p146]) ).
cnf(p150,plain,
( rr(sk9,sk2(sk9))
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p149,c10]) ).
cnf(p151,plain,
( cNothing(sk2(sk9))
| cAorB(sk9)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p150,p73]) ).
cnf(p152,plain,
( cNothing(sk2(sk9))
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p151]) ).
cnf(p154,plain,
( rp(sk2(sk9),sk3(sk2(sk9)))
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p152,c13]) ).
cnf(p153,plain,
( ~ rp(sk2(sk9),X0)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p152,c14]) ).
cnf(p155,plain,
( cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p154,p153]) ).
cnf(p156,plain,
( cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p155]) ).
cnf(p160,plain,
( cA(sk9)
| cAorB(sk9)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p156]) ).
cnf(p163,plain,
( cA(sk9)
| cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p160]) ).
cnf(p165,plain,
( cA(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p163]) ).
cnf(p166,plain,
( rs(sk9,sk1(sk9))
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p165,c7]) ).
cnf(p167,plain,
( cNothing(sk1(sk9))
| cA(sk9)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p166,p79]) ).
cnf(p168,plain,
( cNothing(sk1(sk9))
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p167]) ).
cnf(p170,plain,
( rp(sk1(sk9),sk3(sk1(sk9)))
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p168,c13]) ).
cnf(p169,plain,
( ~ rp(sk1(sk9),X0)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p168,c14]) ).
cnf(p171,plain,
( cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p170,p169]) ).
cnf(p172,plain,
( cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p171]) ).
cnf(p176,plain,
( cB(sk9)
| cA(sk9)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p172]) ).
cnf(p179,plain,
( cB(sk9)
| cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p176]) ).
cnf(p181,plain,
( cB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p179]) ).
cnf(c41,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p61,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c41,c0]) ).
cnf(p145,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p142,p61]) ).
cnf(p148,plain,
( ~ cAorB(sk9)
| ~ cB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p145]) ).
cnf(p183,plain,
( ~ cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p181,p148]) ).
cnf(p184,plain,
( ~ cAorB(sk9)
| xsd_integer(sk8)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p183]) ).
cnf(p186,plain,
( ~ cAorB(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p184]) ).
cnf(p187,plain,
( cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p186,p165]) ).
cnf(p188,plain,
( cA(sk9)
| xsd_integer(sk8)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p187]) ).
cnf(p191,plain,
( cA(sk9)
| cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p188]) ).
cnf(p193,plain,
( cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p191]) ).
cnf(p194,plain,
( rq(sk9,sk0(sk9))
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p193,c4]) ).
cnf(p196,plain,
( cNothing(sk0(sk9))
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p194,p75]) ).
cnf(p198,plain,
( rp(sk0(sk9),sk3(sk0(sk9)))
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p196,c13]) ).
cnf(p197,plain,
( ~ rp(sk0(sk9),X0)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p196,c14]) ).
cnf(p202,plain,
( cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p198,p197]) ).
cnf(p203,plain,
( cAorB(sk9)
| xsd_integer(sk8)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p202]) ).
cnf(p206,plain,
( cAorB(sk9)
| cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p203]) ).
cnf(p208,plain,
( cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p206]) ).
cnf(c43,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7)
| ~ cowlThing(sk7) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p53,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| ~ xsd_string(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[c43,c0]) ).
cnf(p143,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p142,p53]) ).
cnf(p147,plain,
( ~ cAorB(sk9)
| ~ cA(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p143]) ).
cnf(p195,plain,
( ~ cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p193,p147]) ).
cnf(p199,plain,
( ~ cAorB(sk9)
| xsd_integer(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p195]) ).
cnf(p201,plain,
( ~ cAorB(sk9)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p199]) ).
cnf(p210,plain,
( xsd_integer(sk8)
| cowlNothing(sk7)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p208,p201]) ).
cnf(p211,plain,
( xsd_integer(sk8)
| xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p210]) ).
cnf(p213,plain,
( xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(factoring,[status(thm)],[p211]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p144,plain,
( ~ xsd_integer(sk8)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p142,c2]) ).
cnf(p214,plain,
( cowlNothing(sk7)
| cowlNothing(sk7) ),
inference(resolution,[status(thm)],[p213,p144]) ).
cnf(p215,plain,
cowlNothing(sk7),
inference(factoring,[status(thm)],[p214]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p216,plain,
$false,
inference(resolution,[status(thm)],[p215,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:26:21 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.97/1.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/1.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------