%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS164+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 3.40s 11.10s
% Output : Proof 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 210 ( 87 ~; 96 |; 23 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f7_neg,negated_conjecture,
~ ( cowlThing(icar)
& cAutomobile(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f7_neg]) ).
fof(f7_sk,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ( ~ 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])],[f7_nnf]) ).
cnf(c11,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f7_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(p16,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ 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(p18,plain,
( xsd_string(sk1)
| ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p16,c3]) ).
cnf(p19,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p18]) ).
fof(f2,axiom,
! [X] :
( cCar(X)
<=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cAutomobile(X)
| cCar(X) )
& ( cAutomobile(X)
| ~ cCar(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cAutomobile(X)
| cCar(X) )
& ( cAutomobile(X)
| ~ cCar(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f3,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
cAutomobile(iauto),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c6,plain,
cAutomobile(iauto),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p15,plain,
cCar(iauto),
inference(resolution,[status(thm)],[c5,c6]) ).
cnf(p20,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p19,p15]) ).
cnf(p21,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p20,c0]) ).
cnf(c4,plain,
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f5,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
cCar(icar),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c8,plain,
cCar(icar),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p14,plain,
cAutomobile(icar),
inference(resolution,[status(thm)],[c4,c8]) ).
cnf(p22,plain,
( ~ cowlThing(icar)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p21,p14]) ).
cnf(p23,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p22,c0]) ).
cnf(c12,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p17,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(p25,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,p17]) ).
cnf(p26,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p25]) ).
cnf(p27,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p26,p15]) ).
cnf(p28,plain,
( ~ cowlThing(icar)
| ~ cAutomobile(icar)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p27,c0]) ).
cnf(p29,plain,
( ~ cowlThing(icar)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p28,p14]) ).
cnf(p30,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p29,c0]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p24,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,c2]) ).
cnf(p31,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p30,p24]) ).
cnf(p32,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p31]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p33,plain,
$false,
inference(resolution,[status(thm)],[p32,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS164+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.37 % Computer : n008.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Wed Sep 23 19:35:07 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.40/11.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/11.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------