TSTP Solution File: KRS149+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:24:54 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 19 unt; 0 def)
% Number of atoms : 326 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 386 ( 158 ~; 161 |; 47 &)
% ( 19 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 13 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 47 ( 40 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( cC216(X)
<=> ( ~ cC214(X)
& cC64(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& cC44(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [X] :
( cTEST(X)
<=> ( cC216(X)
& cC46(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f126,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(iV3102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(iV3102) ),
inference(negated_conjecture,[status(cth)],[f126]) ).
fof(f128,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f129,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f131,plain,
! [X] :
( ( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ( xsd_string(X)
| xsd_integer(X) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f132,plain,
( ! [X] :
( ~ xsd_string(X)
| ~ xsd_integer(X) )
& ! [X] :
( xsd_string(X)
| xsd_integer(X) ) ),
inference(miniscoping,[status(esa)],[f131]) ).
fof(f133,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f134,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f483,plain,
! [X] :
( ( ~ cC216(X)
| ( ~ cC214(X)
& cC64(X) ) )
& ( cC216(X)
| cC214(X)
| ~ cC64(X) ) ),
inference(NNF_transformation,[status(esa)],[f66]) ).
fof(f484,plain,
( ! [X] :
( ~ cC216(X)
| ( ~ cC214(X)
& cC64(X) ) )
& ! [X] :
( cC216(X)
| cC214(X)
| ~ cC64(X) ) ),
inference(miniscoping,[status(esa)],[f483]) ).
fof(f486,plain,
! [X0] :
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f510,plain,
! [X] :
( ( ~ cC30(X)
| ( cC14(X)
& cC28(X) ) )
& ( cC30(X)
| ~ cC14(X)
| ~ cC28(X) ) ),
inference(NNF_transformation,[status(esa)],[f71]) ).
fof(f511,plain,
( ! [X] :
( ~ cC30(X)
| ( cC14(X)
& cC28(X) ) )
& ! [X] :
( cC30(X)
| ~ cC14(X)
| ~ cC28(X) ) ),
inference(miniscoping,[status(esa)],[f510]) ).
fof(f512,plain,
! [X0] :
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f513,plain,
! [X0] :
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f514,plain,
! [X0] :
( cC30(X0)
| ~ cC14(X0)
| ~ cC28(X0) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f554,plain,
! [X] :
( ( ~ cC46(X)
| ( cC30(X)
& cC44(X) ) )
& ( cC46(X)
| ~ cC30(X)
| ~ cC44(X) ) ),
inference(NNF_transformation,[status(esa)],[f79]) ).
fof(f555,plain,
( ! [X] :
( ~ cC46(X)
| ( cC30(X)
& cC44(X) ) )
& ! [X] :
( cC46(X)
| ~ cC30(X)
| ~ cC44(X) ) ),
inference(miniscoping,[status(esa)],[f554]) ).
fof(f556,plain,
! [X0] :
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f557,plain,
! [X0] :
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f558,plain,
! [X0] :
( cC46(X0)
| ~ cC30(X0)
| ~ cC44(X0) ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f714,plain,
! [X] :
( ( ~ cTEST(X)
| ( cC216(X)
& cC46(X) ) )
& ( cTEST(X)
| ~ cC216(X)
| ~ cC46(X) ) ),
inference(NNF_transformation,[status(esa)],[f108]) ).
fof(f715,plain,
( ! [X] :
( ~ cTEST(X)
| ( cC216(X)
& cC46(X) ) )
& ! [X] :
( cTEST(X)
| ~ cC216(X)
| ~ cC46(X) ) ),
inference(miniscoping,[status(esa)],[f714]) ).
fof(f716,plain,
! [X0] :
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[status(esa)],[f715]) ).
fof(f717,plain,
! [X0] :
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[status(esa)],[f715]) ).
fof(f719,plain,
cTEST(iV3102),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f741,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(pre_NNF_transformation,[status(esa)],[f127]) ).
fof(f742,plain,
( ? [X] :
( ~ cowlThing(X)
| cowlNothing(X) )
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(NNF_transformation,[status(esa)],[f741]) ).
fof(f743,plain,
( ? [X] : ~ cowlThing(X)
| ? [X] : cowlNothing(X)
| ? [X] :
( ( xsd_string(X)
| ~ xsd_integer(X) )
& ( ~ xsd_string(X)
| xsd_integer(X) ) )
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(miniscoping,[status(esa)],[f742]) ).
fof(f744,plain,
( ~ cowlThing(sk0_54)
| cowlNothing(sk0_55)
| ( ( xsd_string(sk0_56)
| ~ xsd_integer(sk0_56) )
& ( ~ xsd_string(sk0_56)
| xsd_integer(sk0_56) ) )
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(skolemization,[status(esa)],[f743]) ).
fof(f745,plain,
( ~ cowlThing(sk0_54)
| cowlNothing(sk0_55)
| xsd_string(sk0_56)
| ~ xsd_integer(sk0_56)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[status(esa)],[f744]) ).
fof(f746,plain,
( ~ cowlThing(sk0_54)
| cowlNothing(sk0_55)
| ~ xsd_string(sk0_56)
| xsd_integer(sk0_56)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(cnf_transformation,[status(esa)],[f744]) ).
fof(f747,plain,
( spl0_0
<=> cowlThing(sk0_54) ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( ~ cowlThing(sk0_54)
| spl0_0 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( spl0_1
<=> cowlNothing(sk0_55) ),
introduced(split_symbol_definition) ).
fof(f751,plain,
( cowlNothing(sk0_55)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( spl0_2
<=> xsd_string(sk0_56) ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( xsd_string(sk0_56)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f755,plain,
( ~ xsd_string(sk0_56)
| spl0_2 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( spl0_3
<=> xsd_integer(sk0_56) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( xsd_integer(sk0_56)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( spl0_4
<=> cC216(iV3102) ),
introduced(split_symbol_definition) ).
fof(f761,plain,
( ~ cC216(iV3102)
| spl0_4 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_5
<=> cC46(iV3102) ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( spl0_6
<=> cC30(iV3102) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( spl0_7
<=> cC44(iV3102) ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( ~ cC44(iV3102)
| spl0_7 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_8
<=> cC28(iV3102) ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( ~ cC28(iV3102)
| spl0_8 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_9
<=> cC64(iV3102) ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( ~ cC64(iV3102)
| spl0_9 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_10
<=> cC14(iV3102) ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( ~ cC14(iV3102)
| spl0_10 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_11
<=> cowlThing(iV3102) ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( ~ cowlThing(iV3102)
| spl0_11 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,plain,
( ~ spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f745,f747,f750,f753,f756,f759,f762,f765,f768,f771,f774,f777,f780]) ).
fof(f784,plain,
( ~ spl0_0
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f746,f747,f750,f753,f756,f759,f762,f765,f768,f771,f774,f777,f780]) ).
fof(f785,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f129]) ).
fof(f786,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f790,plain,
cC216(iV3102),
inference(resolution,[status(thm)],[f716,f719]) ).
fof(f792,plain,
cC46(iV3102),
inference(resolution,[status(thm)],[f717,f719]) ).
fof(f793,plain,
cC44(iV3102),
inference(resolution,[status(thm)],[f792,f557]) ).
fof(f794,plain,
cC30(iV3102),
inference(resolution,[status(thm)],[f792,f556]) ).
fof(f796,plain,
( cC46(iV3102)
| ~ cC30(iV3102) ),
inference(resolution,[status(thm)],[f793,f558]) ).
fof(f797,plain,
( spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f796,f762,f765]) ).
fof(f799,plain,
cC28(iV3102),
inference(resolution,[status(thm)],[f794,f513]) ).
fof(f800,plain,
cC14(iV3102),
inference(resolution,[status(thm)],[f794,f512]) ).
fof(f801,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f779]) ).
fof(f802,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( cC30(iV3102)
| ~ cC14(iV3102) ),
inference(resolution,[status(thm)],[f799,f514]) ).
fof(f805,plain,
( spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f804,f765,f777]) ).
fof(f811,plain,
( ~ cC216(iV3102)
| spl0_9 ),
inference(resolution,[status(thm)],[f776,f486]) ).
fof(f812,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f790]) ).
fof(f813,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f799]) ).
fof(f815,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f793]) ).
fof(f817,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f790]) ).
fof(f819,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f129]) ).
fof(f821,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f130]) ).
fof(f823,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
( ~ xsd_string(sk0_56)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f757,f133]) ).
fof(f825,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f754]) ).
fof(f826,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( xsd_integer(sk0_56)
| spl0_2 ),
inference(resolution,[status(thm)],[f755,f134]) ).
fof(f828,plain,
( spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f827,f756,f753]) ).
fof(f829,plain,
$false,
inference(sat_refutation,[status(thm)],[f783,f784,f786,f797,f802,f805,f813,f815,f817,f819,f821,f823,f826,f828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n032.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 23:30:20 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.36 % Elapsed time: 0.023334 seconds
% 0.17/0.36 % CPU time: 0.058624 seconds
% 0.17/0.36 % Total memory used: 5.329 MB
% 0.17/0.36 % Net memory used: 5.319 MB
%------------------------------------------------------------------------------