TSTP Solution File: KRS146+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 03:18:55 EDT 2022
% Result : Theorem 0.55s 0.72s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 342 ( 157 unt; 0 def)
% Number of atoms : 882 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 908 ( 368 ~; 154 |; 273 &)
% ( 85 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 266 ( 0 sgn 243 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) ).
fof(axiom_8,axiom,
! [X] :
( cC112(X)
<=> ( ~ cC110(X)
& cC4(X) ) ) ).
fof(axiom_9,axiom,
! [X] :
( cC114(X)
<=> ( ~ cC96(X)
& ~ cC112(X) ) ) ).
fof(axiom_10,axiom,
! [X] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ) ).
fof(axiom_11,axiom,
! [X] :
( cC118(X)
<=> ( ~ cC10(X)
& cC4(X) ) ) ).
fof(axiom_21,axiom,
! [X] :
( cC136(X)
<=> ( cC116(X)
& ~ cC134(X) ) ) ).
fof(axiom_43,axiom,
! [X] :
( cC56(X)
<=> ( cC4(X)
& ~ cC10(X) ) ) ).
fof(axiom_44,axiom,
! [X] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ) ).
fof(axiom_57,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC76(X) ) ) ).
fof(axiom_64,axiom,
! [X] :
( cC94(X)
<=> ( ~ cC86(X)
& ~ cC92(X) ) ) ).
fof(axiom_71,axiom,
~ cC134(iV822576) ).
fof(axiom_74,axiom,
cC34(iV822576) ).
fof(axiom_75,axiom,
cC4(iV822576) ).
fof(axiom_76,axiom,
~ cC96(iV822576) ).
fof(axiom_77,axiom,
~ cC86(iV822576) ).
fof(axiom_78,axiom,
~ cC92(iV822576) ).
fof(axiom_80,axiom,
cowlThing(iV822576) ).
fof(axiom_84,axiom,
~ cC10(iV822576) ).
fof(axiom_86,axiom,
~ cC76(iV822576) ).
fof(axiom_87,axiom,
~ cC112(iV822576) ).
fof(axiom_88,axiom,
~ cC78(iV822576) ).
fof(the_axiom,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576)
& cC80(iV822576) ) ).
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) ) )
=> cC94(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_5,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576) )
=> cowlThing(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_6,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576) )
=> cC58(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_7,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576) )
=> cC116(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_8,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576) )
=> cC56(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_9,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576) )
=> cC110(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_10,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576) )
=> cC114(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_11,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576) )
=> cC136(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_12,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576) )
=> cC80(iV822576) ),
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) ) )
=> cC94(iV822576) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( ~ cC94(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_4_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_4_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
~ cC94(iV822576),
inference(simplify,[],[normalize_4_0,normalize_4_3,normalize_4_5,normalize_4_7]) ).
fof(normalize_4_9,plain,
! [X] :
( ~ cC94(X)
<=> ( cC86(X)
| cC92(X) ) ),
inference(canonicalize,[],[axiom_64]) ).
fof(normalize_4_10,plain,
! [X] :
( ~ cC94(X)
<=> ( cC86(X)
| cC92(X) ) ),
inference(specialize,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
! [X] :
( ( ~ cC86(X)
| ~ cC94(X) )
& ( ~ cC92(X)
| ~ cC94(X) )
& ( cC86(X)
| cC92(X)
| cC94(X) ) ),
inference(clausify,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
! [X] :
( cC86(X)
| cC92(X)
| cC94(X) ),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
~ cC86(iV822576),
inference(canonicalize,[],[axiom_77]) ).
fof(normalize_4_14,plain,
~ cC92(iV822576),
inference(canonicalize,[],[axiom_78]) ).
cnf(refute_4_0,plain,
~ cC94(iV822576),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_1,plain,
( cC86(X)
| cC92(X)
| cC94(X) ),
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_2,plain,
( cC86(iV822576)
| cC92(iV822576)
| cC94(iV822576) ),
inference(subst,[],[refute_4_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_4_3,plain,
( cC86(iV822576)
| cC92(iV822576) ),
inference(resolve,[$cnf( cC94(iV822576) )],[refute_4_2,refute_4_0]) ).
cnf(refute_4_4,plain,
~ cC86(iV822576),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_5,plain,
cC92(iV822576),
inference(resolve,[$cnf( cC86(iV822576) )],[refute_4_3,refute_4_4]) ).
cnf(refute_4_6,plain,
~ cC92(iV822576),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_7,plain,
$false,
inference(resolve,[$cnf( cC92(iV822576) )],[refute_4_5,refute_4_6]) ).
fof(negate_5_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576) )
=> cowlThing(iV822576) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( ~ cowlThing(iV822576)
& cC94(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_5_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_5_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_5_5]) ).
fof(normalize_5_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_5_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
$false,
inference(simplify,[],[normalize_5_0,normalize_5_1,normalize_5_4,normalize_5_6,normalize_5_8]) ).
cnf(refute_5_0,plain,
$false,
inference(canonicalize,[],[normalize_5_9]) ).
fof(negate_6_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576) )
=> cC58(iV822576) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
! [X] :
( ~ cC56(X)
<=> ( ~ cC4(X)
| cC10(X) ) ),
inference(canonicalize,[],[axiom_43]) ).
fof(normalize_6_1,plain,
! [X] :
( ~ cC118(X)
<=> ( ~ cC4(X)
| cC10(X) ) ),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_6_2,plain,
! [X] :
( ~ cC118(X)
<=> ( ~ cC4(X)
| cC10(X) ) ),
inference(specialize,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
! [X] :
( ~ cC118(X)
<=> ~ cC56(X) ),
inference(simplify,[],[normalize_6_0,normalize_6_2]) ).
fof(normalize_6_4,plain,
! [X] :
( ~ cC118(X)
<=> ~ cC56(X) ),
inference(specialize,[],[normalize_6_3]) ).
fof(normalize_6_5,plain,
! [X] :
( ( ~ cC118(X)
| cC56(X) )
& ( ~ cC56(X)
| cC118(X) ) ),
inference(clausify,[],[normalize_6_4]) ).
fof(normalize_6_6,plain,
! [X] :
( ~ cC118(X)
| cC56(X) ),
inference(conjunct,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
cC4(iV822576),
inference(canonicalize,[],[axiom_75]) ).
fof(normalize_6_8,plain,
! [X] :
( ( ~ cC10(X)
| ~ cC118(X) )
& ( ~ cC118(X)
| cC4(X) )
& ( ~ cC4(X)
| cC10(X)
| cC118(X) ) ),
inference(clausify,[],[normalize_6_2]) ).
fof(normalize_6_9,plain,
! [X] :
( ~ cC4(X)
| cC10(X)
| cC118(X) ),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
~ cC10(iV822576),
inference(canonicalize,[],[axiom_84]) ).
fof(normalize_6_11,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(canonicalize,[],[axiom_44]) ).
fof(normalize_6_12,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(specialize,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
! [X] :
( ( ~ cC58(X)
| cC34(X) )
& ( ~ cC58(X)
| cC56(X) )
& ( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ) ),
inference(clausify,[],[normalize_6_12]) ).
fof(normalize_6_14,plain,
! [X] :
( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_15,plain,
cC34(iV822576),
inference(canonicalize,[],[axiom_74]) ).
fof(normalize_6_16,plain,
( ~ cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_17,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_6_18,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_6_19,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_20,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_22,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_6_21]) ).
fof(normalize_6_23,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_6_24,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_6_23]) ).
fof(normalize_6_25,plain,
( ~ cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_6_16,normalize_6_17,normalize_6_20,normalize_6_22,normalize_6_24]) ).
fof(normalize_6_26,plain,
~ cC58(iV822576),
inference(conjunct,[],[normalize_6_25]) ).
cnf(refute_6_0,plain,
( ~ cC118(X)
| cC56(X) ),
inference(canonicalize,[],[normalize_6_6]) ).
cnf(refute_6_1,plain,
( ~ cC118(iV822576)
| cC56(iV822576) ),
inference(subst,[],[refute_6_0:[bind(X,$fot(iV822576))]]) ).
cnf(refute_6_2,plain,
cC4(iV822576),
inference(canonicalize,[],[normalize_6_7]) ).
cnf(refute_6_3,plain,
( ~ cC4(X)
| cC10(X)
| cC118(X) ),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_4,plain,
( ~ cC4(iV822576)
| cC10(iV822576)
| cC118(iV822576) ),
inference(subst,[],[refute_6_3:[bind(X,$fot(iV822576))]]) ).
cnf(refute_6_5,plain,
( cC10(iV822576)
| cC118(iV822576) ),
inference(resolve,[$cnf( cC4(iV822576) )],[refute_6_2,refute_6_4]) ).
cnf(refute_6_6,plain,
~ cC10(iV822576),
inference(canonicalize,[],[normalize_6_10]) ).
cnf(refute_6_7,plain,
cC118(iV822576),
inference(resolve,[$cnf( cC10(iV822576) )],[refute_6_5,refute_6_6]) ).
cnf(refute_6_8,plain,
cC56(iV822576),
inference(resolve,[$cnf( cC118(iV822576) )],[refute_6_7,refute_6_1]) ).
cnf(refute_6_9,plain,
( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_10,plain,
( ~ cC34(iV822576)
| ~ cC56(iV822576)
| cC58(iV822576) ),
inference(subst,[],[refute_6_9:[bind(X,$fot(iV822576))]]) ).
cnf(refute_6_11,plain,
( ~ cC34(iV822576)
| cC58(iV822576) ),
inference(resolve,[$cnf( cC56(iV822576) )],[refute_6_8,refute_6_10]) ).
cnf(refute_6_12,plain,
cC34(iV822576),
inference(canonicalize,[],[normalize_6_15]) ).
cnf(refute_6_13,plain,
cC58(iV822576),
inference(resolve,[$cnf( cC34(iV822576) )],[refute_6_12,refute_6_11]) ).
cnf(refute_6_14,plain,
~ cC58(iV822576),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_15,plain,
$false,
inference(resolve,[$cnf( cC58(iV822576) )],[refute_6_13,refute_6_14]) ).
fof(negate_7_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576) )
=> cC116(iV822576) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
~ cC96(iV822576),
inference(canonicalize,[],[axiom_76]) ).
fof(normalize_7_1,plain,
! [X] :
( ~ cC114(X)
<=> ( cC112(X)
| cC96(X) ) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_7_2,plain,
! [X] :
( ~ cC114(X)
<=> ( cC112(X)
| cC96(X) ) ),
inference(specialize,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
! [X] :
( ( ~ cC112(X)
| ~ cC114(X) )
& ( ~ cC114(X)
| ~ cC96(X) )
& ( cC112(X)
| cC114(X)
| cC96(X) ) ),
inference(clausify,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
! [X] :
( cC112(X)
| cC114(X)
| cC96(X) ),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
~ cC112(iV822576),
inference(canonicalize,[],[axiom_87]) ).
fof(normalize_7_6,plain,
! [X] :
( ~ cC80(X)
<=> ( cC76(X)
| cC78(X) ) ),
inference(canonicalize,[],[axiom_57]) ).
fof(normalize_7_7,plain,
! [X] :
( ~ cC80(X)
<=> ( cC76(X)
| cC78(X) ) ),
inference(specialize,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
! [X] :
( ( ~ cC76(X)
| ~ cC80(X) )
& ( ~ cC78(X)
| ~ cC80(X) )
& ( cC76(X)
| cC78(X)
| cC80(X) ) ),
inference(clausify,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
! [X] :
( cC76(X)
| cC78(X)
| cC80(X) ),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_10,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_7_11,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
! [X] :
( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,plain,
( ~ cC116(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_15,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_7_16,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_7_17,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_7_17]) ).
fof(normalize_7_19,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_20,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_7_19]) ).
fof(normalize_7_21,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_7_22,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_7_21]) ).
fof(normalize_7_23,plain,
( ~ cC116(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_7_14,normalize_7_15,normalize_7_18,normalize_7_20,normalize_7_22]) ).
fof(normalize_7_24,plain,
~ cC116(iV822576),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_25,plain,
~ cC76(iV822576),
inference(canonicalize,[],[axiom_86]) ).
fof(normalize_7_26,plain,
~ cC78(iV822576),
inference(canonicalize,[],[axiom_88]) ).
cnf(refute_7_0,plain,
~ cC96(iV822576),
inference(canonicalize,[],[normalize_7_0]) ).
cnf(refute_7_1,plain,
( cC112(X)
| cC114(X)
| cC96(X) ),
inference(canonicalize,[],[normalize_7_4]) ).
cnf(refute_7_2,plain,
( cC112(iV822576)
| cC114(iV822576)
| cC96(iV822576) ),
inference(subst,[],[refute_7_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_7_3,plain,
( cC112(iV822576)
| cC114(iV822576) ),
inference(resolve,[$cnf( cC96(iV822576) )],[refute_7_2,refute_7_0]) ).
cnf(refute_7_4,plain,
~ cC112(iV822576),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_5,plain,
cC114(iV822576),
inference(resolve,[$cnf( cC112(iV822576) )],[refute_7_3,refute_7_4]) ).
cnf(refute_7_6,plain,
( cC76(X)
| cC78(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_7,plain,
( cC76(X_590)
| cC78(X_590)
| cC80(X_590) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(X_590))]]) ).
cnf(refute_7_8,plain,
( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_9,plain,
( ~ cC114(X_590)
| ~ cC80(X_590)
| cC116(X_590) ),
inference(subst,[],[refute_7_8:[bind(X,$fot(X_590))]]) ).
cnf(refute_7_10,plain,
( ~ cC114(X_590)
| cC116(X_590)
| cC76(X_590)
| cC78(X_590) ),
inference(resolve,[$cnf( cC80(X_590) )],[refute_7_7,refute_7_9]) ).
cnf(refute_7_11,plain,
( ~ cC114(iV822576)
| cC116(iV822576)
| cC76(iV822576)
| cC78(iV822576) ),
inference(subst,[],[refute_7_10:[bind(X_590,$fot(iV822576))]]) ).
cnf(refute_7_12,plain,
( cC116(iV822576)
| cC76(iV822576)
| cC78(iV822576) ),
inference(resolve,[$cnf( cC114(iV822576) )],[refute_7_5,refute_7_11]) ).
cnf(refute_7_13,plain,
~ cC116(iV822576),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_14,plain,
( cC76(iV822576)
| cC78(iV822576) ),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_7_12,refute_7_13]) ).
cnf(refute_7_15,plain,
~ cC76(iV822576),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_16,plain,
cC78(iV822576),
inference(resolve,[$cnf( cC76(iV822576) )],[refute_7_14,refute_7_15]) ).
cnf(refute_7_17,plain,
~ cC78(iV822576),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_18,plain,
$false,
inference(resolve,[$cnf( cC78(iV822576) )],[refute_7_16,refute_7_17]) ).
fof(negate_8_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576) )
=> cC56(iV822576) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ~ cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_8_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_8_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_8_5]) ).
fof(normalize_8_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_8_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
( ~ cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_8_0,normalize_8_1,normalize_8_4,normalize_8_6,normalize_8_8]) ).
fof(normalize_8_10,plain,
cC58(iV822576),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(canonicalize,[],[axiom_44]) ).
fof(normalize_8_12,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(specialize,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
! [X] :
( ( ~ cC58(X)
| cC34(X) )
& ( ~ cC58(X)
| cC56(X) )
& ( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ) ),
inference(clausify,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
! [X] :
( ~ cC58(X)
| cC56(X) ),
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_15,plain,
~ cC56(iV822576),
inference(conjunct,[],[normalize_8_9]) ).
cnf(refute_8_0,plain,
cC58(iV822576),
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_1,plain,
( ~ cC58(X)
| cC56(X) ),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_2,plain,
( ~ cC58(iV822576)
| cC56(iV822576) ),
inference(subst,[],[refute_8_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_8_3,plain,
cC56(iV822576),
inference(resolve,[$cnf( cC58(iV822576) )],[refute_8_0,refute_8_2]) ).
cnf(refute_8_4,plain,
~ cC56(iV822576),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_5,plain,
$false,
inference(resolve,[$cnf( cC56(iV822576) )],[refute_8_3,refute_8_4]) ).
fof(negate_9_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576) )
=> cC110(iV822576) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
cC4(iV822576),
inference(canonicalize,[],[axiom_75]) ).
fof(normalize_9_1,plain,
! [X] :
( ~ cC112(X)
<=> ( ~ cC4(X)
| cC110(X) ) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_9_2,plain,
! [X] :
( ~ cC112(X)
<=> ( ~ cC4(X)
| cC110(X) ) ),
inference(specialize,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
! [X] :
( ( ~ cC110(X)
| ~ cC112(X) )
& ( ~ cC112(X)
| cC4(X) )
& ( ~ cC4(X)
| cC110(X)
| cC112(X) ) ),
inference(clausify,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
! [X] :
( ~ cC4(X)
| cC110(X)
| cC112(X) ),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_5,plain,
( ~ cC110(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_6,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_9_7,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_9_8,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_9_8]) ).
fof(normalize_9_10,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_11,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_9_13,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_9_12]) ).
fof(normalize_9_14,plain,
( ~ cC110(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_9_5,normalize_9_6,normalize_9_9,normalize_9_11,normalize_9_13]) ).
fof(normalize_9_15,plain,
~ cC110(iV822576),
inference(conjunct,[],[normalize_9_14]) ).
fof(normalize_9_16,plain,
~ cC112(iV822576),
inference(canonicalize,[],[axiom_87]) ).
cnf(refute_9_0,plain,
cC4(iV822576),
inference(canonicalize,[],[normalize_9_0]) ).
cnf(refute_9_1,plain,
( ~ cC4(X)
| cC110(X)
| cC112(X) ),
inference(canonicalize,[],[normalize_9_4]) ).
cnf(refute_9_2,plain,
( ~ cC4(iV822576)
| cC110(iV822576)
| cC112(iV822576) ),
inference(subst,[],[refute_9_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_9_3,plain,
( cC110(iV822576)
| cC112(iV822576) ),
inference(resolve,[$cnf( cC4(iV822576) )],[refute_9_0,refute_9_2]) ).
cnf(refute_9_4,plain,
~ cC110(iV822576),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_5,plain,
cC112(iV822576),
inference(resolve,[$cnf( cC110(iV822576) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
~ cC112(iV822576),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_7,plain,
$false,
inference(resolve,[$cnf( cC112(iV822576) )],[refute_9_5,refute_9_6]) ).
fof(negate_10_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576) )
=> cC114(iV822576) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( ~ cC114(iV822576)
& cC110(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_10_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_10_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_10_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
( ~ cC114(iV822576)
& cC110(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_10_0,normalize_10_1,normalize_10_4,normalize_10_6,normalize_10_8]) ).
fof(normalize_10_10,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_11,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_10_12,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
! [X] :
( ~ cC116(X)
| cC114(X) ),
inference(conjunct,[],[normalize_10_13]) ).
fof(normalize_10_15,plain,
~ cC114(iV822576),
inference(conjunct,[],[normalize_10_9]) ).
cnf(refute_10_0,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_1,plain,
( ~ cC116(X)
| cC114(X) ),
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_2,plain,
( ~ cC116(iV822576)
| cC114(iV822576) ),
inference(subst,[],[refute_10_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_10_3,plain,
cC114(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_10_0,refute_10_2]) ).
cnf(refute_10_4,plain,
~ cC114(iV822576),
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_5,plain,
$false,
inference(resolve,[$cnf( cC114(iV822576) )],[refute_10_3,refute_10_4]) ).
fof(negate_11_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576) )
=> cC136(iV822576) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( ~ cC136(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
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,
( ~ cC136(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_11_0,normalize_11_1,normalize_11_4,normalize_11_6,normalize_11_8]) ).
fof(normalize_11_10,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
! [X] :
( ~ cC136(X)
<=> ( ~ cC116(X)
| cC134(X) ) ),
inference(canonicalize,[],[axiom_21]) ).
fof(normalize_11_12,plain,
! [X] :
( ~ cC136(X)
<=> ( ~ cC116(X)
| cC134(X) ) ),
inference(specialize,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
! [X] :
( ( ~ cC134(X)
| ~ cC136(X) )
& ( ~ cC136(X)
| cC116(X) )
& ( ~ cC116(X)
| cC134(X)
| cC136(X) ) ),
inference(clausify,[],[normalize_11_12]) ).
fof(normalize_11_14,plain,
! [X] :
( ~ cC116(X)
| cC134(X)
| cC136(X) ),
inference(conjunct,[],[normalize_11_13]) ).
fof(normalize_11_15,plain,
~ cC134(iV822576),
inference(canonicalize,[],[axiom_71]) ).
fof(normalize_11_16,plain,
~ cC136(iV822576),
inference(conjunct,[],[normalize_11_9]) ).
cnf(refute_11_0,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_1,plain,
( ~ cC116(X)
| cC134(X)
| cC136(X) ),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_2,plain,
( ~ cC116(iV822576)
| cC134(iV822576)
| cC136(iV822576) ),
inference(subst,[],[refute_11_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_11_3,plain,
( cC134(iV822576)
| cC136(iV822576) ),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_11_0,refute_11_2]) ).
cnf(refute_11_4,plain,
~ cC134(iV822576),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_5,plain,
cC136(iV822576),
inference(resolve,[$cnf( cC134(iV822576) )],[refute_11_3,refute_11_4]) ).
cnf(refute_11_6,plain,
~ cC136(iV822576),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_7,plain,
$false,
inference(resolve,[$cnf( cC136(iV822576) )],[refute_11_5,refute_11_6]) ).
fof(negate_12_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC94(iV822576)
& cowlThing(iV822576)
& cC58(iV822576)
& cC116(iV822576)
& cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC136(iV822576) )
=> cC80(iV822576) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( ~ cC80(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC136(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_12_0]) ).
fof(normalize_12_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_12_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_12_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_12_3]) ).
fof(normalize_12_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_12_5]) ).
fof(normalize_12_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_12_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
( ~ cC80(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC136(iV822576)
& cC56(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_12_0,normalize_12_1,normalize_12_4,normalize_12_6,normalize_12_8]) ).
fof(normalize_12_10,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_11,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_12_12,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_12_11]) ).
fof(normalize_12_13,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_12_12]) ).
fof(normalize_12_14,plain,
! [X] :
( ~ cC116(X)
| cC80(X) ),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
~ cC80(iV822576),
inference(conjunct,[],[normalize_12_9]) ).
cnf(refute_12_0,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_12_10]) ).
cnf(refute_12_1,plain,
( ~ cC116(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_12_14]) ).
cnf(refute_12_2,plain,
( ~ cC116(iV822576)
| cC80(iV822576) ),
inference(subst,[],[refute_12_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_12_3,plain,
cC80(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_12_0,refute_12_2]) ).
cnf(refute_12_4,plain,
~ cC80(iV822576),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_5,plain,
$false,
inference(resolve,[$cnf( cC80(iV822576) )],[refute_12_3,refute_12_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 14:54:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.55/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72
% 0.55/0.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.55/0.74
%------------------------------------------------------------------------------