%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS166+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 01:53:23 PM UTC 2026
% Result : Theorem 2.26s 1.32s
% Output : Proof 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 225 ( 67 ~; 132 |; 19 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 2 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,conjecture,
( ! [X] :
( cCar(X)
<=> cAutomobile(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f4_neg,negated_conjecture,
~ ( ! [X] :
( cCar(X)
<=> cAutomobile(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f4_nnf,plain,
( ? [X] :
( ( cAutomobile(X)
& ~ cCar(X) )
| ( ~ cAutomobile(X)
& cCar(X) ) )
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
fof(f4_sk,plain,
( ( cAutomobile(sk2)
& ~ cCar(sk2) )
| ( ~ cAutomobile(sk2)
& cCar(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])],[f4_nnf]) ).
cnf(c11,plain,
( cAutomobile(sk2)
| cCar(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f4_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]) ).
cnf(p22,plain,
( cAutomobile(sk2)
| cCar(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c11,c0]) ).
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]) ).
cnf(p26,plain,
( xsd_string(sk1)
| cAutomobile(sk2)
| cCar(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p22,c3]) ).
cnf(p28,plain,
( cAutomobile(sk2)
| cCar(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p26]) ).
fof(f3,axiom,
! [X] :
( cCar(X)
=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( cAutomobile(X)
| ~ cCar(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( cAutomobile(X)
| ~ cCar(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p30,plain,
( cAutomobile(sk2)
| cAutomobile(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p28,c5]) ).
cnf(p31,plain,
( cAutomobile(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p30]) ).
cnf(c12,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p23,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(p27,plain,
( xsd_string(sk1)
| ~ cCar(sk2)
| ~ cAutomobile(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,c3]) ).
cnf(p29,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p27]) ).
cnf(p33,plain,
( ~ cCar(sk2)
| xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p31,p29]) ).
cnf(p34,plain,
( ~ cCar(sk2)
| xsd_string(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p33]) ).
cnf(p36,plain,
( ~ cCar(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p34]) ).
fof(f2,axiom,
! [X] :
( cAutomobile(X)
=> cCar(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( cCar(X)
| ~ cAutomobile(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( cCar(X)
| ~ cAutomobile(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p32,plain,
( cCar(sk2)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p31,c4]) ).
cnf(p37,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p36,p32]) ).
cnf(p38,plain,
( xsd_string(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p37]) ).
cnf(p40,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p38]) ).
cnf(c15,plain,
( cAutomobile(sk2)
| cCar(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p24,plain,
( cAutomobile(sk2)
| cCar(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(p42,plain,
( cAutomobile(sk2)
| cCar(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p40,p24]) ).
cnf(p44,plain,
( cAutomobile(sk2)
| cCar(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p42]) ).
cnf(p46,plain,
( cAutomobile(sk2)
| cAutomobile(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p44,c5]) ).
cnf(p47,plain,
( cAutomobile(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p46]) ).
cnf(c16,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p25,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(p43,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p40,p25]) ).
cnf(p45,plain,
( ~ cCar(sk2)
| ~ cAutomobile(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p43]) ).
cnf(p49,plain,
( ~ cCar(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p47,p45]) ).
cnf(p50,plain,
( ~ cCar(sk2)
| xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p52,plain,
( ~ cCar(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p50]) ).
cnf(p48,plain,
( cCar(sk2)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p47,c4]) ).
cnf(p53,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p52,p48]) ).
cnf(p54,plain,
( xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p53]) ).
cnf(p56,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p54]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p41,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p40,c2]) ).
cnf(p57,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p56,p41]) ).
cnf(p58,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p57]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p59,plain,
$false,
inference(resolution,[status(thm)],[p58,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS166+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Wed Sep 23 19:34:41 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.26/1.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.26/1.32 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------