%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS134+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 : n003.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 01:53:18 PM UTC 2026
% Result : Theorem 4.65s 1.10s
% Output : Proof 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 4 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 158 ( 48 ~; 83 |; 19 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 3 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
( ! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(Y) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f3_neg,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(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] :
( ~ cA(Y)
& rprop(X,Y) )
& cowlThing(X) )
| ? [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,
( ( ~ cA(sk3)
& rprop(sk2,sk3)
& cowlThing(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,sk3])],[f3_nnf]) ).
cnf(c9,plain,
( rprop(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/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(p17,plain,
( rprop(sk2,sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c9,c0]) ).
fof(f1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/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(p21,plain,
( xsd_string(sk1)
| rprop(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p17,c3]) ).
cnf(p23,plain,
( rprop(sk2,sk3)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p21]) ).
fof(f2,axiom,
! [X,Y] :
( rprop(X,Y)
=> cA(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X,Y] :
( cA(Y)
| ~ rprop(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( cA(Y)
| ~ rprop(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cA(X1)
| ~ rprop(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p25,plain,
( cA(sk3)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p23,c4]) ).
cnf(c10,plain,
( ~ cA(sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p18,plain,
( ~ cA(sk3)
| ~ xsd_integer(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(p22,plain,
( xsd_string(sk1)
| ~ cA(sk3)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p18,c3]) ).
cnf(p24,plain,
( ~ cA(sk3)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p22]) ).
cnf(p26,plain,
( xsd_string(sk1)
| cowlNothing(sk0)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p25,p24]) ).
cnf(p27,plain,
( xsd_string(sk1)
| xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p26]) ).
cnf(p29,plain,
( xsd_string(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p27]) ).
cnf(c12,plain,
( rprop(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p19,plain,
( rprop(sk2,sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(p31,plain,
( rprop(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p29,p19]) ).
cnf(p33,plain,
( rprop(sk2,sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p31]) ).
cnf(p35,plain,
( cA(sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p33,c4]) ).
cnf(c13,plain,
( ~ cA(sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0)
| ~ cowlThing(sk0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p20,plain,
( ~ cA(sk3)
| ~ xsd_string(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(p32,plain,
( ~ cA(sk3)
| xsd_integer(sk1)
| cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p29,p20]) ).
cnf(p34,plain,
( ~ cA(sk3)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p32]) ).
cnf(p36,plain,
( xsd_integer(sk1)
| cowlNothing(sk0)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p35,p34]) ).
cnf(p37,plain,
( xsd_integer(sk1)
| xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p36]) ).
cnf(p39,plain,
( xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(factoring,[status(thm)],[p37]) ).
cnf(c2,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p30,plain,
( ~ xsd_integer(sk1)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p29,c2]) ).
cnf(p40,plain,
( cowlNothing(sk0)
| cowlNothing(sk0) ),
inference(resolution,[status(thm)],[p39,p30]) ).
cnf(p41,plain,
cowlNothing(sk0),
inference(factoring,[status(thm)],[p40]) ).
cnf(c1,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p42,plain,
$false,
inference(resolution,[status(thm)],[p41,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS134+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.33 % Computer : n003.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 19:30:19 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.65/1.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.65/1.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------