TSTP Solution File: KRS149+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS149+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : 600s
% DateTime : Sun Jul 17 03:18:56 EDT 2022
% Result : Theorem 0.67s 0.89s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 244 ( 112 unt; 0 def)
% Number of atoms : 626 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 652 ( 270 ~; 73 |; 219 &)
% ( 64 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 217 ( 0 sgn 202 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) ).
fof(axiom_65,axiom,
! [X] :
( cC216(X)
<=> ( ~ cC214(X)
& cC64(X) ) ) ).
fof(axiom_70,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ) ).
fof(axiom_78,axiom,
! [X] :
( cC46(X)
<=> ( cC30(X)
& cC44(X) ) ) ).
fof(axiom_107,axiom,
! [X] :
( cTEST(X)
<=> ( cC216(X)
& cC46(X) ) ) ).
fof(axiom_108,axiom,
cTEST(iV3102) ).
fof(axiom_109,axiom,
cowlThing(iV3102) ).
fof(the_axiom,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) ) ).
fof(subgoal_0,plain,
! [X] : cowlThing(X),
inference(strip,[],[the_axiom]) ).
fof(subgoal_1,plain,
! [X] :
( cowlThing(X)
=> ~ cowlNothing(X) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_2,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
=> ! [X] :
( xsd_string(X)
=> ~ xsd_integer(X) ) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_3,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
=> ! [X] :
( ~ xsd_integer(X)
=> xsd_string(X) ) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_4,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) )
=> cC216(iV3102) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_5,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102) )
=> cC46(iV3102) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_6,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102) )
=> cC30(iV3102) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_7,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102) )
=> cC44(iV3102) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_8,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102) )
=> cC28(iV3102) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_9,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) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_10,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) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_11,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(strip,[],[the_axiom]) ).
fof(negate_0_0,plain,
~ ! [X] : cowlThing(X),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] : ~ cowlThing(X),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_0_2,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_3]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_4]) ).
fof(negate_1_0,plain,
~ ! [X] :
( cowlThing(X)
=> ~ cowlNothing(X) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X] :
( cowlNothing(X)
& cowlThing(X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_1_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
$false,
inference(simplify,[],[normalize_1_0,normalize_1_3,normalize_1_5]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_6]) ).
fof(negate_2_0,plain,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
=> ! [X] :
( xsd_string(X)
=> ~ xsd_integer(X) ) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( ? [X] :
( xsd_integer(X)
& xsd_string(X) )
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_2_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
? [X] :
( xsd_integer(X)
& xsd_string(X) ),
inference(simplify,[],[normalize_2_0,normalize_2_3,normalize_2_5]) ).
fof(normalize_2_7,plain,
( xsd_integer(skolemFOFtoCNF_X)
& xsd_string(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
xsd_string(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_2_10,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
! [X] :
( ( ~ xsd_integer(X)
| ~ xsd_string(X) )
& ( xsd_integer(X)
| xsd_string(X) ) ),
inference(clausify,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ),
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_13,plain,
xsd_integer(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_2_7]) ).
cnf(refute_2_0,plain,
xsd_string(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_1,plain,
( ~ xsd_integer(X)
| ~ xsd_string(X) ),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_2,plain,
( ~ xsd_integer(skolemFOFtoCNF_X)
| ~ xsd_string(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_2_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_2_3,plain,
~ xsd_integer(skolemFOFtoCNF_X),
inference(resolve,[$cnf( xsd_string(skolemFOFtoCNF_X) )],[refute_2_0,refute_2_2]) ).
cnf(refute_2_4,plain,
xsd_integer(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_5,plain,
$false,
inference(resolve,[$cnf( xsd_integer(skolemFOFtoCNF_X) )],[refute_2_4,refute_2_3]) ).
fof(negate_3_0,plain,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
=> ! [X] :
( ~ xsd_integer(X)
=> xsd_string(X) ) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( ? [X] :
( ~ xsd_integer(X)
& ~ xsd_string(X) )
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_3_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
? [X] :
( ~ xsd_integer(X)
& ~ xsd_string(X) ),
inference(simplify,[],[normalize_3_0,normalize_3_3,normalize_3_5]) ).
fof(normalize_3_7,plain,
( ~ xsd_integer(skolemFOFtoCNF_X_1)
& ~ xsd_string(skolemFOFtoCNF_X_1) ),
inference(skolemize,[],[normalize_3_6]) ).
fof(normalize_3_8,plain,
~ xsd_string(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_3_10,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
! [X] :
( ( ~ xsd_integer(X)
| ~ xsd_string(X) )
& ( xsd_integer(X)
| xsd_string(X) ) ),
inference(clausify,[],[normalize_3_10]) ).
fof(normalize_3_12,plain,
! [X] :
( xsd_integer(X)
| xsd_string(X) ),
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_13,plain,
~ xsd_integer(skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_3_7]) ).
cnf(refute_3_0,plain,
~ xsd_string(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_1,plain,
( xsd_integer(X)
| xsd_string(X) ),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_2,plain,
( xsd_integer(skolemFOFtoCNF_X_1)
| xsd_string(skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_3_1:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_3_3,plain,
xsd_integer(skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( xsd_string(skolemFOFtoCNF_X_1) )],[refute_3_2,refute_3_0]) ).
cnf(refute_3_4,plain,
~ xsd_integer(skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_5,plain,
$false,
inference(resolve,[$cnf( xsd_integer(skolemFOFtoCNF_X_1) )],[refute_3_3,refute_3_4]) ).
fof(negate_4_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) )
=> cC216(iV3102) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
cTEST(iV3102),
inference(canonicalize,[],[axiom_108]) ).
fof(normalize_4_1,plain,
! [X] :
( ~ cTEST(X)
<=> ( ~ cC216(X)
| ~ cC46(X) ) ),
inference(canonicalize,[],[axiom_107]) ).
fof(normalize_4_2,plain,
! [X] :
( ~ cTEST(X)
<=> ( ~ cC216(X)
| ~ cC46(X) ) ),
inference(specialize,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [X] :
( ( ~ cTEST(X)
| cC216(X) )
& ( ~ cTEST(X)
| cC46(X) )
& ( ~ cC216(X)
| ~ cC46(X)
| cTEST(X) ) ),
inference(clausify,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
! [X] :
( ~ cTEST(X)
| cC216(X) ),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
( ~ cC216(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_6,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_4_7,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_10,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_4_12,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
~ cC216(iV3102),
inference(simplify,[],[normalize_4_5,normalize_4_8,normalize_4_10,normalize_4_12]) ).
cnf(refute_4_0,plain,
cTEST(iV3102),
inference(canonicalize,[],[normalize_4_0]) ).
cnf(refute_4_1,plain,
( ~ cTEST(X)
| cC216(X) ),
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_2,plain,
( ~ cTEST(iV3102)
| cC216(iV3102) ),
inference(subst,[],[refute_4_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_4_3,plain,
cC216(iV3102),
inference(resolve,[$cnf( cTEST(iV3102) )],[refute_4_0,refute_4_2]) ).
cnf(refute_4_4,plain,
~ cC216(iV3102),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_5,plain,
$false,
inference(resolve,[$cnf( cC216(iV3102) )],[refute_4_3,refute_4_4]) ).
fof(negate_5_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102) )
=> cC46(iV3102) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
cTEST(iV3102),
inference(canonicalize,[],[axiom_108]) ).
fof(normalize_5_1,plain,
! [X] :
( ~ cTEST(X)
<=> ( ~ cC216(X)
| ~ cC46(X) ) ),
inference(canonicalize,[],[axiom_107]) ).
fof(normalize_5_2,plain,
! [X] :
( ~ cTEST(X)
<=> ( ~ cC216(X)
| ~ cC46(X) ) ),
inference(specialize,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
! [X] :
( ( ~ cTEST(X)
| cC216(X) )
& ( ~ cTEST(X)
| cC46(X) )
& ( ~ cC216(X)
| ~ cC46(X)
| cTEST(X) ) ),
inference(clausify,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
! [X] :
( ~ cTEST(X)
| cC46(X) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
( ~ cC46(iV3102)
& cC216(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_6,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_5_7,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_10,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_5_9]) ).
fof(normalize_5_11,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_5_12,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
( ~ cC46(iV3102)
& cC216(iV3102) ),
inference(simplify,[],[normalize_5_5,normalize_5_8,normalize_5_10,normalize_5_12]) ).
fof(normalize_5_14,plain,
~ cC46(iV3102),
inference(conjunct,[],[normalize_5_13]) ).
cnf(refute_5_0,plain,
cTEST(iV3102),
inference(canonicalize,[],[normalize_5_0]) ).
cnf(refute_5_1,plain,
( ~ cTEST(X)
| cC46(X) ),
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_2,plain,
( ~ cTEST(iV3102)
| cC46(iV3102) ),
inference(subst,[],[refute_5_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_5_3,plain,
cC46(iV3102),
inference(resolve,[$cnf( cTEST(iV3102) )],[refute_5_0,refute_5_2]) ).
cnf(refute_5_4,plain,
~ cC46(iV3102),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_5,plain,
$false,
inference(resolve,[$cnf( cC46(iV3102) )],[refute_5_3,refute_5_4]) ).
fof(negate_6_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102) )
=> cC30(iV3102) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ~ cC30(iV3102)
& cC216(iV3102)
& cC46(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_6_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_6_2]) ).
fof(normalize_6_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_6_4]) ).
fof(normalize_6_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_6_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_6_6]) ).
fof(normalize_6_8,plain,
( ~ cC30(iV3102)
& cC216(iV3102)
& cC46(iV3102) ),
inference(simplify,[],[normalize_6_0,normalize_6_3,normalize_6_5,normalize_6_7]) ).
fof(normalize_6_9,plain,
cC46(iV3102),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
! [X] :
( ~ cC46(X)
<=> ( ~ cC30(X)
| ~ cC44(X) ) ),
inference(canonicalize,[],[axiom_78]) ).
fof(normalize_6_11,plain,
! [X] :
( ~ cC46(X)
<=> ( ~ cC30(X)
| ~ cC44(X) ) ),
inference(specialize,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
! [X] :
( ( ~ cC46(X)
| cC30(X) )
& ( ~ cC46(X)
| cC44(X) )
& ( ~ cC30(X)
| ~ cC44(X)
| cC46(X) ) ),
inference(clausify,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
! [X] :
( ~ cC46(X)
| cC30(X) ),
inference(conjunct,[],[normalize_6_12]) ).
fof(normalize_6_14,plain,
~ cC30(iV3102),
inference(conjunct,[],[normalize_6_8]) ).
cnf(refute_6_0,plain,
cC46(iV3102),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_1,plain,
( ~ cC46(X)
| cC30(X) ),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_2,plain,
( ~ cC46(iV3102)
| cC30(iV3102) ),
inference(subst,[],[refute_6_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_6_3,plain,
cC30(iV3102),
inference(resolve,[$cnf( cC46(iV3102) )],[refute_6_0,refute_6_2]) ).
cnf(refute_6_4,plain,
~ cC30(iV3102),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_5,plain,
$false,
inference(resolve,[$cnf( cC30(iV3102) )],[refute_6_3,refute_6_4]) ).
fof(negate_7_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102) )
=> cC44(iV3102) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( ~ cC44(iV3102)
& cC216(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_7_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_7_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
( ~ cC44(iV3102)
& cC216(iV3102)
& cC30(iV3102)
& cC46(iV3102) ),
inference(simplify,[],[normalize_7_0,normalize_7_3,normalize_7_5,normalize_7_7]) ).
fof(normalize_7_9,plain,
cC46(iV3102),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_10,plain,
! [X] :
( ~ cC46(X)
<=> ( ~ cC30(X)
| ~ cC44(X) ) ),
inference(canonicalize,[],[axiom_78]) ).
fof(normalize_7_11,plain,
! [X] :
( ~ cC46(X)
<=> ( ~ cC30(X)
| ~ cC44(X) ) ),
inference(specialize,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
! [X] :
( ( ~ cC46(X)
| cC30(X) )
& ( ~ cC46(X)
| cC44(X) )
& ( ~ cC30(X)
| ~ cC44(X)
| cC46(X) ) ),
inference(clausify,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
! [X] :
( ~ cC46(X)
| cC44(X) ),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,plain,
~ cC44(iV3102),
inference(conjunct,[],[normalize_7_8]) ).
cnf(refute_7_0,plain,
cC46(iV3102),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_1,plain,
( ~ cC46(X)
| cC44(X) ),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_2,plain,
( ~ cC46(iV3102)
| cC44(iV3102) ),
inference(subst,[],[refute_7_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_7_3,plain,
cC44(iV3102),
inference(resolve,[$cnf( cC46(iV3102) )],[refute_7_0,refute_7_2]) ).
cnf(refute_7_4,plain,
~ cC44(iV3102),
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_5,plain,
$false,
inference(resolve,[$cnf( cC44(iV3102) )],[refute_7_3,refute_7_4]) ).
fof(negate_8_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102) )
=> cC28(iV3102) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ~ cC28(iV3102)
& cC216(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_8_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_8_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_8_6]) ).
fof(normalize_8_8,plain,
( ~ cC28(iV3102)
& cC216(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102) ),
inference(simplify,[],[normalize_8_0,normalize_8_3,normalize_8_5,normalize_8_7]) ).
fof(normalize_8_9,plain,
cC30(iV3102),
inference(conjunct,[],[normalize_8_8]) ).
fof(normalize_8_10,plain,
! [X] :
( ~ cC30(X)
<=> ( ~ cC14(X)
| ~ cC28(X) ) ),
inference(canonicalize,[],[axiom_70]) ).
fof(normalize_8_11,plain,
! [X] :
( ~ cC30(X)
<=> ( ~ cC14(X)
| ~ cC28(X) ) ),
inference(specialize,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
! [X] :
( ( ~ cC30(X)
| cC14(X) )
& ( ~ cC30(X)
| cC28(X) )
& ( ~ cC14(X)
| ~ cC28(X)
| cC30(X) ) ),
inference(clausify,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
! [X] :
( ~ cC30(X)
| cC28(X) ),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
~ cC28(iV3102),
inference(conjunct,[],[normalize_8_8]) ).
cnf(refute_8_0,plain,
cC30(iV3102),
inference(canonicalize,[],[normalize_8_9]) ).
cnf(refute_8_1,plain,
( ~ cC30(X)
| cC28(X) ),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_2,plain,
( ~ cC30(iV3102)
| cC28(iV3102) ),
inference(subst,[],[refute_8_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_8_3,plain,
cC28(iV3102),
inference(resolve,[$cnf( cC30(iV3102) )],[refute_8_0,refute_8_2]) ).
cnf(refute_8_4,plain,
~ cC28(iV3102),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_5,plain,
$false,
inference(resolve,[$cnf( cC28(iV3102) )],[refute_8_3,refute_8_4]) ).
fof(negate_9_0,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) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ~ cC64(iV3102)
& cC216(iV3102)
& cC28(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_9_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_9_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_9_6]) ).
fof(normalize_9_8,plain,
( ~ cC64(iV3102)
& cC216(iV3102)
& cC28(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102) ),
inference(simplify,[],[normalize_9_0,normalize_9_3,normalize_9_5,normalize_9_7]) ).
fof(normalize_9_9,plain,
cC216(iV3102),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_10,plain,
! [X] :
( ~ cC216(X)
<=> ( ~ cC64(X)
| cC214(X) ) ),
inference(canonicalize,[],[axiom_65]) ).
fof(normalize_9_11,plain,
! [X] :
( ~ cC216(X)
<=> ( ~ cC64(X)
| cC214(X) ) ),
inference(specialize,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
! [X] :
( ( ~ cC214(X)
| ~ cC216(X) )
& ( ~ cC216(X)
| cC64(X) )
& ( ~ cC64(X)
| cC214(X)
| cC216(X) ) ),
inference(clausify,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
! [X] :
( ~ cC216(X)
| cC64(X) ),
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_14,plain,
~ cC64(iV3102),
inference(conjunct,[],[normalize_9_8]) ).
cnf(refute_9_0,plain,
cC216(iV3102),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_1,plain,
( ~ cC216(X)
| cC64(X) ),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_2,plain,
( ~ cC216(iV3102)
| cC64(iV3102) ),
inference(subst,[],[refute_9_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_9_3,plain,
cC64(iV3102),
inference(resolve,[$cnf( cC216(iV3102) )],[refute_9_0,refute_9_2]) ).
cnf(refute_9_4,plain,
~ cC64(iV3102),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_5,plain,
$false,
inference(resolve,[$cnf( cC64(iV3102) )],[refute_9_3,refute_9_4]) ).
fof(negate_10_0,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) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( ~ cC14(iV3102)
& cC216(iV3102)
& cC28(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_10_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_10_4]) ).
fof(normalize_10_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_10_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_10_6]) ).
fof(normalize_10_8,plain,
( ~ cC14(iV3102)
& cC216(iV3102)
& cC28(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102)
& cC64(iV3102) ),
inference(simplify,[],[normalize_10_0,normalize_10_3,normalize_10_5,normalize_10_7]) ).
fof(normalize_10_9,plain,
cC30(iV3102),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_10,plain,
! [X] :
( ~ cC30(X)
<=> ( ~ cC14(X)
| ~ cC28(X) ) ),
inference(canonicalize,[],[axiom_70]) ).
fof(normalize_10_11,plain,
! [X] :
( ~ cC30(X)
<=> ( ~ cC14(X)
| ~ cC28(X) ) ),
inference(specialize,[],[normalize_10_10]) ).
fof(normalize_10_12,plain,
! [X] :
( ( ~ cC30(X)
| cC14(X) )
& ( ~ cC30(X)
| cC28(X) )
& ( ~ cC14(X)
| ~ cC28(X)
| cC30(X) ) ),
inference(clausify,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
! [X] :
( ~ cC30(X)
| cC14(X) ),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
~ cC14(iV3102),
inference(conjunct,[],[normalize_10_8]) ).
cnf(refute_10_0,plain,
cC30(iV3102),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_1,plain,
( ~ cC30(X)
| cC14(X) ),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_2,plain,
( ~ cC30(iV3102)
| cC14(iV3102) ),
inference(subst,[],[refute_10_1:[bind(X,$fot(iV3102))]]) ).
cnf(refute_10_3,plain,
cC14(iV3102),
inference(resolve,[$cnf( cC30(iV3102) )],[refute_10_0,refute_10_2]) ).
cnf(refute_10_4,plain,
~ cC14(iV3102),
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_5,plain,
$false,
inference(resolve,[$cnf( cC14(iV3102) )],[refute_10_3,refute_10_4]) ).
fof(negate_11_0,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(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( ~ cowlThing(iV3102)
& cC14(iV3102)
& cC216(iV3102)
& cC28(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
cowlThing(iV3102),
inference(canonicalize,[],[axiom_109]) ).
fof(normalize_11_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_11_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_11_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
$false,
inference(simplify,[],[normalize_11_0,normalize_11_1,normalize_11_4,normalize_11_6,normalize_11_8]) ).
cnf(refute_11_0,plain,
$false,
inference(canonicalize,[],[normalize_11_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS149+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 08:57:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.67/0.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.89
% 0.67/0.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.67/0.89
%------------------------------------------------------------------------------