%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS163+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 : n026.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 4.85s 1.28s
% Output : Proof 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 147 ( 16 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 165 ( 63 ~; 79 |; 20 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 2 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,conjecture,
( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f13_neg,negated_conjecture,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( ( ~ xsd_integer(X)
& ~ xsd_string(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ( ~ 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])],[f13_nnf]) ).
cnf(c17,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f6,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f6_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p21,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c17,c6]) ).
fof(f7,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f7_nnf,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c9,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p22,plain,
( xsd_integer(sk1)
| ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p21,c9]) ).
cnf(p23,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p22]) ).
cnf(p24,plain,
( ia = ib
| ~ cowlThing(ib)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,c6]) ).
cnf(p25,plain,
( ia = ib
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p24,c6]) ).
fof(f12,axiom,
! [X] :
~ ( cA(X)
& cB(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f12_nnf,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c14,plain,
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
fof(f10,axiom,
cB(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f10_nnf,plain,
cB(ib),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c12,plain,
cB(ib),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(p19,plain,
~ cA(ib),
inference(resolution,[status(thm)],[c14,c12]) ).
cnf(p30,plain,
( ~ cA(ia)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(superposition,[status(thm)],[p25,p19]) ).
fof(f8,axiom,
cA(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f8_nnf,plain,
cA(ia),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c10,plain,
cA(ia),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p33,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p30,c10]) ).
cnf(c16,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p20,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c16,c6]) ).
cnf(p35,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p33,p20]) ).
cnf(p37,plain,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p35]) ).
cnf(p39,plain,
( ia = ib
| ~ cowlThing(ib)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p37,c6]) ).
cnf(p45,plain,
( ia = ib
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p39,c6]) ).
cnf(p51,plain,
( ~ cA(ia)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(superposition,[status(thm)],[p45,p19]) ).
cnf(p54,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p51,c10]) ).
cnf(c8,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p56,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p54,c8]) ).
cnf(p58,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p56,p33]) ).
cnf(p60,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p58]) ).
cnf(c7,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p62,plain,
$false,
inference(resolution,[status(thm)],[p60,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.57 % Computer : n026.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 19:36:56 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.85/1.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.85/1.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------