%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS141+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 : n001.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 01:53:19 PM UTC 2026
% Result : Theorem 4.64s 6.10s
% Output : Proof 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 143 ( 58 ~; 63 |; 17 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
( cowlThing(io)
& cc(io)
& ! [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(io)
& cc(io)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ? [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(io)
| ~ cc(io)
| ( ~ 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(c10,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ~ 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(p14,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c10,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(p17,plain,
( xsd_string(sk1)
| ~ cowlThing(io)
| ~ cc(io)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p14,c3]) ).
cnf(p18,plain,
( ~ cowlThing(io)
| ~ cc(io)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p17]) ).
fof(f3,axiom,
cr(ii),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
cr(ii),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c5,plain,
cr(ii),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
fof(f2,axiom,
! [X] :
( cr(X)
=> ! [Y] :
( rp(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ! [Y] :
( cc(Y)
| ~ rp(X,Y) )
| ~ cr(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( cc(Y)
| ~ rp(X,Y)
| ~ cr(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cc(X1)
| ~ rp(X0,X1)
| ~ cr(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p13,plain,
( cc(X0)
| ~ rp(ii,X0) ),
inference(resolution,[status(thm)],[c5,c4]) ).
fof(f5,axiom,
rp(ii,io),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
rp(ii,io),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c7,plain,
rp(ii,io),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p16,plain,
cc(io),
inference(resolution,[status(thm)],[p13,c7]) ).
cnf(p19,plain,
( ~ cowlThing(io)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p18,p16]) ).
cnf(p20,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p19,c0]) ).
cnf(c11,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p15,plain,
( ~ cowlThing(io)
| ~ cc(io)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(p22,plain,
( ~ cowlThing(io)
| ~ cc(io)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p20,p15]) ).
cnf(p23,plain,
( ~ cowlThing(io)
| ~ cc(io)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p22]) ).
cnf(p24,plain,
( ~ cowlThing(io)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,p16]) ).
cnf(p25,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p24,c0]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p21,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p20,c2]) ).
cnf(p26,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p25,p21]) ).
cnf(p27,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p26]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p28,plain,
$false,
inference(resolution,[status(thm)],[p27,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS141+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 19:35:55 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.64/6.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.64/6.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------