%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS170+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 : n008.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 0.16s 1.01s
% Output : Proof 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 4
% Syntax : Number of formulae : 87 ( 4 unt; 0 def)
% Number of atoms : 360 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 368 ( 95 ~; 242 |; 23 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 38 ( 2 sgn 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X,Y] :
( ( ~ rhasHead(X,Y)
| rhasLeader(X,Y) )
& ( rhasHead(X,Y)
| ~ rhasLeader(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ~ rhasHead(X,Y)
| rhasLeader(X,Y) )
& ( rhasHead(X,Y)
| ~ rhasLeader(X,Y) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
( ~ rhasHead(X0,X1)
| rhasLeader(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/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]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/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]) ).
fof(f3,conjecture,
( ! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) )
& ! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f3_neg,negated_conjecture,
~ ( ! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) )
& ! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
( ? [X,Y] :
( ~ rhasLeader(X,Y)
& rhasHead(X,Y) )
| ? [X,Y] :
( ~ rhasHead(X,Y)
& rhasLeader(X,Y) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ( ~ rhasLeader(sk4,sk5)
& rhasHead(sk4,sk5) )
| ( ~ rhasHead(sk2,sk3)
& rhasLeader(sk2,sk3) )
| ( ~ 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,sk3,sk4,sk5])],[f3_nnf]) ).
cnf(c10,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p22,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c10]) ).
cnf(p30,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[c3,p22]) ).
cnf(p34,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p30]) ).
cnf(p38,plain,
( rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1)
| rhasLeader(sk4,sk5) ),
inference(resolution,[status(thm)],[c5,p34]) ).
cnf(c11,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p23,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(p31,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[c3,p23]) ).
cnf(p35,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p31]) ).
cnf(p39,plain,
( rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1)
| rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p38,p35]) ).
cnf(p42,plain,
( cowlNothing(sk0)
| xsd_string(sk1)
| rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p39]) ).
cnf(p43,plain,
( cowlNothing(sk0)
| rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p42]) ).
cnf(p45,plain,
( rhasLeader(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p43]) ).
cnf(c4,plain,
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p46,plain,
( rhasHead(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p45,c4]) ).
cnf(c13,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p25,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c13]) ).
cnf(p33,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[c3,p25]) ).
cnf(p37,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p33]) ).
cnf(p48,plain,
( ~ rhasLeader(sk4,sk5)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p46,p37]) ).
cnf(p53,plain,
( ~ rhasLeader(sk4,sk5)
| cowlNothing(sk0)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p48]) ).
cnf(p55,plain,
( ~ rhasLeader(sk4,sk5)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p53]) ).
cnf(c12,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p24,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(p32,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[c3,p24]) ).
cnf(p36,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p32]) ).
cnf(p47,plain,
( rhasHead(sk4,sk5)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p46,p36]) ).
cnf(p49,plain,
( rhasHead(sk4,sk5)
| cowlNothing(sk0)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p47]) ).
cnf(p51,plain,
( rhasHead(sk4,sk5)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p52,plain,
( rhasLeader(sk4,sk5)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p51,c5]) ).
cnf(p56,plain,
( cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(resolution,[status(thm)],[p55,p52]) ).
cnf(p57,plain,
( cowlNothing(sk0)
| cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p56]) ).
cnf(p59,plain,
( cowlNothing(sk0)
| xsd_string(sk1) ),
inference(factoring,[status(thm)],[p57]) ).
cnf(c15,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p27,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c15]) ).
cnf(p61,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p59,p27]) ).
cnf(p67,plain,
( ~ rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p61]) ).
cnf(c14,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p26,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c14]) ).
cnf(p60,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p59,p26]) ).
cnf(p65,plain,
( rhasHead(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p60]) ).
cnf(p66,plain,
( rhasLeader(sk4,sk5)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p65,c5]) ).
cnf(p68,plain,
( rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p67,p66]) ).
cnf(p73,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p68]) ).
cnf(p74,plain,
( xsd_integer(sk1)
| rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p73]) ).
cnf(p76,plain,
( rhasLeader(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p74]) ).
cnf(p77,plain,
( rhasHead(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p76,c4]) ).
cnf(c17,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p29,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c17]) ).
cnf(p63,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p59,p29]) ).
cnf(p70,plain,
( ~ rhasLeader(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p63]) ).
cnf(p79,plain,
( ~ rhasLeader(sk4,sk5)
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p77,p70]) ).
cnf(p84,plain,
( ~ rhasLeader(sk4,sk5)
| xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p79]) ).
cnf(p86,plain,
( ~ rhasLeader(sk4,sk5)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p84]) ).
cnf(c16,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p28,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c0,c16]) ).
cnf(p62,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p59,p28]) ).
cnf(p69,plain,
( rhasHead(sk4,sk5)
| ~ rhasHead(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p62]) ).
cnf(p78,plain,
( rhasHead(sk4,sk5)
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p77,p69]) ).
cnf(p80,plain,
( rhasHead(sk4,sk5)
| xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p78]) ).
cnf(p82,plain,
( rhasHead(sk4,sk5)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p80]) ).
cnf(p83,plain,
( rhasLeader(sk4,sk5)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p82,c5]) ).
cnf(p87,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p86,p83]) ).
cnf(p88,plain,
( xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p87]) ).
cnf(p90,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p88]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p64,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p59,c2]) ).
cnf(p91,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p90,p64]) ).
cnf(p92,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p91]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p93,plain,
$false,
inference(resolution,[status(thm)],[p92,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS170+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.58 % Computer : n008.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Wed Sep 23 19:35:41 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/1.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/1.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------