TSTP Solution File: KRS147+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS147+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 1.02s 1.19s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 548 ( 241 unt; 0 def)
% Number of atoms : 1586 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 1652 ( 614 ~; 255 |; 593 &)
% ( 150 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-1 aty)
% Number of variables : 481 ( 0 sgn 432 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) ).
fof(axiom_2,axiom,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC8(X) ) ) ).
fof(axiom_4,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( rR1(X,Y)
& cTOP(Y) ) ) ).
fof(axiom_7,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ) ).
fof(axiom_13,axiom,
! [X] :
( cC32(X)
<=> ? [Y] :
( rR1(X,Y)
& cC2(Y) ) ) ).
fof(axiom_14,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC32(Y) ) ) ).
fof(axiom_17,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ) ).
fof(axiom_22,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC2(Y) ) ) ).
fof(axiom_27,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( rR1(X,Y)
& cC2(Y) ) ) ).
fof(axiom_29,axiom,
! [X] :
( cC60(X)
<=> ( cC58(X)
& ~ cC2(X) ) ) ).
fof(axiom_30,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( rR1(X,Y)
& cC60(Y) ) ) ).
fof(axiom_39,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( rR1(X,Y)
& ~ cC6(Y) ) ) ).
fof(axiom_40,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC2(X)
& ~ cC78(X) ) ) ).
fof(axiom_41,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( rR1(X,Y)
& cC80(Y) ) ) ).
fof(axiom_52,axiom,
cowlThing(iV8467) ).
fof(axiom_55,axiom,
rR1(iV8467,iV8471) ).
fof(axiom_57,axiom,
rR1(iV8467,iV8468) ).
fof(axiom_58,axiom,
rR1(iV8467,iV8469) ).
fof(axiom_60,axiom,
rR1(iV8467,iV8472) ).
fof(axiom_61,axiom,
rR1(iV8467,iV8474) ).
fof(axiom_62,axiom,
rR1(iV8467,iV8470) ).
fof(axiom_63,axiom,
~ cC2(iV8468) ).
fof(axiom_65,axiom,
~ cC6(iV8469) ).
fof(axiom_68,axiom,
cTOP(iV8470) ).
fof(axiom_70,axiom,
~ cC2(iV8471) ).
fof(axiom_71,axiom,
~ cC78(iV8471) ).
fof(axiom_72,axiom,
cowlThing(iV8471) ).
fof(axiom_74,axiom,
~ cC2(iV8472) ).
fof(axiom_75,axiom,
cowlThing(iV8472) ).
fof(axiom_76,axiom,
rR1(iV8472,iV8476) ).
fof(axiom_80,axiom,
~ cC32(iV8474) ).
fof(axiom_84,axiom,
cC2(iV8476) ).
fof(the_axiom,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ) ).
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) ) )
=> cC10(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_5,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467) )
=> cC48(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_6,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467) )
=> cC4(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_7,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467) )
=> cC82(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_8,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467) )
=> cC14(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_9,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467) )
=> cC8(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_10,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467) )
=> cC20(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_11,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467) )
=> cowlThing(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_12,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467) )
=> cC62(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_13,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467) )
=> cC34(iV8467) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_14,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467) )
=> cowlThing(iV8471) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_15,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471) )
=> cC80(iV8471) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_16,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471) )
=> cC60(iV8472) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_17,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472) )
=> cowlThing(iV8472) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_18,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472) )
=> cC58(iV8472) ),
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) ) )
=> cC10(iV8467) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_4_1,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(specialize,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
! [X] :
( ( ~ cC10(X)
| cC4(X) )
& ( ~ cC10(X)
| cC8(X) )
& ( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ) ),
inference(clausify,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [X] :
( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
rR1(iV8467,iV8469),
inference(canonicalize,[],[axiom_58]) ).
fof(normalize_4_5,plain,
! [X] :
( ~ cC8(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC6(Y) ) ),
inference(canonicalize,[],[axiom_39]) ).
fof(normalize_4_6,plain,
! [X] :
( ~ cC8(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC6(Y) ) ),
inference(specialize,[],[normalize_4_5]) ).
fof(normalize_4_7,plain,
! [X,Y] :
( ( ~ cC6(skolemFOFtoCNF_Y_16(X))
| ~ cC8(X) )
& ( ~ cC8(X)
| rR1(X,skolemFOFtoCNF_Y_16(X)) )
& ( ~ rR1(X,Y)
| cC6(Y)
| cC8(X) ) ),
inference(clausify,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
! [X,Y] :
( ~ rR1(X,Y)
| cC6(Y)
| cC8(X) ),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
~ cC6(iV8469),
inference(canonicalize,[],[axiom_65]) ).
fof(normalize_4_10,plain,
! [X] :
( ~ cC4(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_17]) ).
fof(normalize_4_11,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_4_12,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(specialize,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(simplify,[],[normalize_4_10,normalize_4_12]) ).
fof(normalize_4_14,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(specialize,[],[normalize_4_13]) ).
fof(normalize_4_15,plain,
! [X] :
( ( ~ cC20(X)
| cC4(X) )
& ( ~ cC4(X)
| cC20(X) ) ),
inference(clausify,[],[normalize_4_14]) ).
fof(normalize_4_16,plain,
! [X] :
( ~ cC20(X)
| cC4(X) ),
inference(conjunct,[],[normalize_4_15]) ).
fof(normalize_4_17,plain,
rR1(iV8467,iV8468),
inference(canonicalize,[],[axiom_57]) ).
fof(normalize_4_18,plain,
! [X,Y] :
( ( ~ cC2(skolemFOFtoCNF_Y_3(X))
| ~ cC20(X) )
& ( ~ cC20(X)
| rR1(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ rR1(X,Y)
| cC2(Y)
| cC20(X) ) ),
inference(clausify,[],[normalize_4_12]) ).
fof(normalize_4_19,plain,
! [X,Y] :
( ~ rR1(X,Y)
| cC2(Y)
| cC20(X) ),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_20,plain,
~ cC2(iV8468),
inference(canonicalize,[],[axiom_63]) ).
fof(normalize_4_21,plain,
( ~ cC10(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_22,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_4_23,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_24,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_4_23]) ).
fof(normalize_4_25,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_26,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_4_25]) ).
fof(normalize_4_27,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_4_28,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_4_27]) ).
fof(normalize_4_29,plain,
~ cC10(iV8467),
inference(simplify,[],[normalize_4_21,normalize_4_24,normalize_4_26,normalize_4_28]) ).
cnf(refute_4_0,plain,
( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_1,plain,
( ~ cC4(iV8467)
| ~ cC8(iV8467)
| cC10(iV8467) ),
inference(subst,[],[refute_4_0:[bind(X,$fot(iV8467))]]) ).
cnf(refute_4_2,plain,
rR1(iV8467,iV8469),
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_3,plain,
( ~ rR1(X,Y)
| cC6(Y)
| cC8(X) ),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_4,plain,
( ~ rR1(iV8467,iV8469)
| cC6(iV8469)
| cC8(iV8467) ),
inference(subst,[],[refute_4_3:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8469))]]) ).
cnf(refute_4_5,plain,
( cC6(iV8469)
| cC8(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8469) )],[refute_4_2,refute_4_4]) ).
cnf(refute_4_6,plain,
~ cC6(iV8469),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_7,plain,
cC8(iV8467),
inference(resolve,[$cnf( cC6(iV8469) )],[refute_4_5,refute_4_6]) ).
cnf(refute_4_8,plain,
( ~ cC4(iV8467)
| cC10(iV8467) ),
inference(resolve,[$cnf( cC8(iV8467) )],[refute_4_7,refute_4_1]) ).
cnf(refute_4_9,plain,
( ~ cC20(X)
| cC4(X) ),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_10,plain,
( ~ cC20(iV8467)
| cC4(iV8467) ),
inference(subst,[],[refute_4_9:[bind(X,$fot(iV8467))]]) ).
cnf(refute_4_11,plain,
rR1(iV8467,iV8468),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_12,plain,
( ~ rR1(X,Y)
| cC2(Y)
| cC20(X) ),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_13,plain,
( ~ rR1(iV8467,iV8468)
| cC2(iV8468)
| cC20(iV8467) ),
inference(subst,[],[refute_4_12:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8468))]]) ).
cnf(refute_4_14,plain,
( cC2(iV8468)
| cC20(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8468) )],[refute_4_11,refute_4_13]) ).
cnf(refute_4_15,plain,
~ cC2(iV8468),
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_16,plain,
cC20(iV8467),
inference(resolve,[$cnf( cC2(iV8468) )],[refute_4_14,refute_4_15]) ).
cnf(refute_4_17,plain,
cC4(iV8467),
inference(resolve,[$cnf( cC20(iV8467) )],[refute_4_16,refute_4_10]) ).
cnf(refute_4_18,plain,
cC10(iV8467),
inference(resolve,[$cnf( cC4(iV8467) )],[refute_4_17,refute_4_8]) ).
cnf(refute_4_19,plain,
~ cC10(iV8467),
inference(canonicalize,[],[normalize_4_29]) ).
cnf(refute_4_20,plain,
$false,
inference(resolve,[$cnf( cC10(iV8467) )],[refute_4_18,refute_4_19]) ).
fof(negate_5_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467) )
=> cC48(iV8467) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( ~ cC48(iV8467)
& cC10(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_5_2,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_5,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_5_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
( ~ cC48(iV8467)
& cC10(iV8467) ),
inference(simplify,[],[normalize_5_0,normalize_5_3,normalize_5_5,normalize_5_7]) ).
fof(normalize_5_9,plain,
cC10(iV8467),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_10,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_5_11,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(specialize,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
! [X] :
( ( ~ cC10(X)
| cC4(X) )
& ( ~ cC10(X)
| cC8(X) )
& ( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ) ),
inference(clausify,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
! [X] :
( ~ cC10(X)
| cC4(X) ),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
! [X] :
( ~ cC4(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_17]) ).
fof(normalize_5_15,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_5_16,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(specialize,[],[normalize_5_15]) ).
fof(normalize_5_17,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(simplify,[],[normalize_5_14,normalize_5_16]) ).
fof(normalize_5_18,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(specialize,[],[normalize_5_17]) ).
fof(normalize_5_19,plain,
! [X] :
( ( ~ cC20(X)
| cC4(X) )
& ( ~ cC4(X)
| cC20(X) ) ),
inference(clausify,[],[normalize_5_18]) ).
fof(normalize_5_20,plain,
! [X] :
( ~ cC4(X)
| cC20(X) ),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_21,plain,
! [X] :
( ~ cC48(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_22]) ).
fof(normalize_5_22,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC48(X) ),
inference(simplify,[],[normalize_5_21,normalize_5_16]) ).
fof(normalize_5_23,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC48(X) ),
inference(specialize,[],[normalize_5_22]) ).
fof(normalize_5_24,plain,
! [X] :
( ( ~ cC20(X)
| cC48(X) )
& ( ~ cC48(X)
| cC20(X) ) ),
inference(clausify,[],[normalize_5_23]) ).
fof(normalize_5_25,plain,
! [X] :
( ~ cC20(X)
| cC48(X) ),
inference(conjunct,[],[normalize_5_24]) ).
fof(normalize_5_26,plain,
~ cC48(iV8467),
inference(conjunct,[],[normalize_5_8]) ).
cnf(refute_5_0,plain,
cC10(iV8467),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_1,plain,
( ~ cC10(X)
| cC4(X) ),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_2,plain,
( ~ cC10(iV8467)
| cC4(iV8467) ),
inference(subst,[],[refute_5_1:[bind(X,$fot(iV8467))]]) ).
cnf(refute_5_3,plain,
cC4(iV8467),
inference(resolve,[$cnf( cC10(iV8467) )],[refute_5_0,refute_5_2]) ).
cnf(refute_5_4,plain,
( ~ cC4(X)
| cC20(X) ),
inference(canonicalize,[],[normalize_5_20]) ).
cnf(refute_5_5,plain,
( ~ cC4(iV8467)
| cC20(iV8467) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(iV8467))]]) ).
cnf(refute_5_6,plain,
cC20(iV8467),
inference(resolve,[$cnf( cC4(iV8467) )],[refute_5_3,refute_5_5]) ).
cnf(refute_5_7,plain,
( ~ cC20(X)
| cC48(X) ),
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_8,plain,
( ~ cC20(iV8467)
| cC48(iV8467) ),
inference(subst,[],[refute_5_7:[bind(X,$fot(iV8467))]]) ).
cnf(refute_5_9,plain,
cC48(iV8467),
inference(resolve,[$cnf( cC20(iV8467) )],[refute_5_6,refute_5_8]) ).
cnf(refute_5_10,plain,
~ cC48(iV8467),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_11,plain,
$false,
inference(resolve,[$cnf( cC48(iV8467) )],[refute_5_9,refute_5_10]) ).
fof(negate_6_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467) )
=> cC4(iV8467) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ~ cC4(iV8467)
& cC10(iV8467)
& cC48(iV8467)
& ! [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,
( ~ cC4(iV8467)
& cC10(iV8467)
& cC48(iV8467) ),
inference(simplify,[],[normalize_6_0,normalize_6_3,normalize_6_5,normalize_6_7]) ).
fof(normalize_6_9,plain,
cC10(iV8467),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_6_11,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(specialize,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
! [X] :
( ( ~ cC10(X)
| cC4(X) )
& ( ~ cC10(X)
| cC8(X) )
& ( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ) ),
inference(clausify,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
! [X] :
( ~ cC10(X)
| cC4(X) ),
inference(conjunct,[],[normalize_6_12]) ).
fof(normalize_6_14,plain,
~ cC4(iV8467),
inference(conjunct,[],[normalize_6_8]) ).
cnf(refute_6_0,plain,
cC10(iV8467),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_1,plain,
( ~ cC10(X)
| cC4(X) ),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_2,plain,
( ~ cC10(iV8467)
| cC4(iV8467) ),
inference(subst,[],[refute_6_1:[bind(X,$fot(iV8467))]]) ).
cnf(refute_6_3,plain,
cC4(iV8467),
inference(resolve,[$cnf( cC10(iV8467) )],[refute_6_0,refute_6_2]) ).
cnf(refute_6_4,plain,
~ cC4(iV8467),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_5,plain,
$false,
inference(resolve,[$cnf( cC4(iV8467) )],[refute_6_3,refute_6_4]) ).
fof(negate_7_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467) )
=> cC82(iV8467) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
! [X] :
( ~ cC80(X)
<=> ( cC2(X)
| cC78(X) ) ),
inference(canonicalize,[],[axiom_40]) ).
fof(normalize_7_1,plain,
! [X] :
( ~ cC80(X)
<=> ( cC2(X)
| cC78(X) ) ),
inference(specialize,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC80(X) )
& ( ~ cC78(X)
| ~ cC80(X) )
& ( cC2(X)
| cC78(X)
| cC80(X) ) ),
inference(clausify,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
! [X] :
( cC2(X)
| cC78(X)
| cC80(X) ),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
rR1(iV8467,iV8471),
inference(canonicalize,[],[axiom_55]) ).
fof(normalize_7_5,plain,
! [X] :
( ~ cC82(X)
<=> ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_41]) ).
fof(normalize_7_6,plain,
! [X] :
( ~ cC82(X)
<=> ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) ) ),
inference(specialize,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
! [X,Y] :
( ( ~ cC82(X)
| cC80(skolemFOFtoCNF_Y_17(X)) )
& ( ~ cC82(X)
| rR1(X,skolemFOFtoCNF_Y_17(X)) )
& ( ~ cC80(Y)
| ~ rR1(X,Y)
| cC82(X) ) ),
inference(clausify,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
! [X,Y] :
( ~ cC80(Y)
| ~ rR1(X,Y)
| cC82(X) ),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
( ~ cC82(iV8467)
& cC10(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_10,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_7_11,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_14,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_7_13]) ).
fof(normalize_7_15,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_7_16,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_7_15]) ).
fof(normalize_7_17,plain,
( ~ cC82(iV8467)
& cC10(iV8467)
& cC4(iV8467)
& cC48(iV8467) ),
inference(simplify,[],[normalize_7_9,normalize_7_12,normalize_7_14,normalize_7_16]) ).
fof(normalize_7_18,plain,
~ cC82(iV8467),
inference(conjunct,[],[normalize_7_17]) ).
fof(normalize_7_19,plain,
~ cC2(iV8471),
inference(canonicalize,[],[axiom_70]) ).
fof(normalize_7_20,plain,
~ cC78(iV8471),
inference(canonicalize,[],[axiom_71]) ).
cnf(refute_7_0,plain,
( cC2(X)
| cC78(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_1,plain,
( cC2(iV8471)
| cC78(iV8471)
| cC80(iV8471) ),
inference(subst,[],[refute_7_0:[bind(X,$fot(iV8471))]]) ).
cnf(refute_7_2,plain,
rR1(iV8467,iV8471),
inference(canonicalize,[],[normalize_7_4]) ).
cnf(refute_7_3,plain,
( ~ cC80(Y)
| ~ rR1(X,Y)
| cC82(X) ),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_4,plain,
( ~ cC80(iV8471)
| ~ rR1(iV8467,iV8471)
| cC82(iV8467) ),
inference(subst,[],[refute_7_3:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8471))]]) ).
cnf(refute_7_5,plain,
( ~ cC80(iV8471)
| cC82(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8471) )],[refute_7_2,refute_7_4]) ).
cnf(refute_7_6,plain,
~ cC82(iV8467),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_7,plain,
~ cC80(iV8471),
inference(resolve,[$cnf( cC82(iV8467) )],[refute_7_5,refute_7_6]) ).
cnf(refute_7_8,plain,
( cC2(iV8471)
| cC78(iV8471) ),
inference(resolve,[$cnf( cC80(iV8471) )],[refute_7_1,refute_7_7]) ).
cnf(refute_7_9,plain,
~ cC2(iV8471),
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_10,plain,
cC78(iV8471),
inference(resolve,[$cnf( cC2(iV8471) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
~ cC78(iV8471),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_12,plain,
$false,
inference(resolve,[$cnf( cC78(iV8471) )],[refute_7_10,refute_7_11]) ).
fof(negate_8_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467) )
=> cC14(iV8467) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
rR1(iV8467,iV8470),
inference(canonicalize,[],[axiom_62]) ).
fof(normalize_8_1,plain,
! [X] :
( ~ cC14(X)
<=> ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_8_2,plain,
! [X] :
( ~ cC14(X)
<=> ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) ) ),
inference(specialize,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
! [X,Y] :
( ( ~ cC14(X)
| cTOP(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cC14(X)
| rR1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cTOP(Y)
| ~ rR1(X,Y)
| cC14(X) ) ),
inference(clausify,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
! [X,Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y)
| cC14(X) ),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
cTOP(iV8470),
inference(canonicalize,[],[axiom_68]) ).
fof(normalize_8_6,plain,
( ~ cC14(iV8467)
& cC10(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC82(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_7,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_8_8,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_8_8]) ).
fof(normalize_8_10,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_11,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_8_13,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
( ~ cC14(iV8467)
& cC10(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_8_6,normalize_8_9,normalize_8_11,normalize_8_13]) ).
fof(normalize_8_15,plain,
~ cC14(iV8467),
inference(conjunct,[],[normalize_8_14]) ).
cnf(refute_8_0,plain,
rR1(iV8467,iV8470),
inference(canonicalize,[],[normalize_8_0]) ).
cnf(refute_8_1,plain,
( ~ cTOP(Y)
| ~ rR1(X,Y)
| cC14(X) ),
inference(canonicalize,[],[normalize_8_4]) ).
cnf(refute_8_2,plain,
( ~ cTOP(iV8470)
| ~ rR1(iV8467,iV8470)
| cC14(iV8467) ),
inference(subst,[],[refute_8_1:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8470))]]) ).
cnf(refute_8_3,plain,
( ~ cTOP(iV8470)
| cC14(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8470) )],[refute_8_0,refute_8_2]) ).
cnf(refute_8_4,plain,
cTOP(iV8470),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_5,plain,
cC14(iV8467),
inference(resolve,[$cnf( cTOP(iV8470) )],[refute_8_4,refute_8_3]) ).
cnf(refute_8_6,plain,
~ cC14(iV8467),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_7,plain,
$false,
inference(resolve,[$cnf( cC14(iV8467) )],[refute_8_5,refute_8_6]) ).
fof(negate_9_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467) )
=> cC8(iV8467) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ~ cC8(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC82(iV8467)
& ! [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,
( ~ cC8(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_9_0,normalize_9_3,normalize_9_5,normalize_9_7]) ).
fof(normalize_9_9,plain,
cC10(iV8467),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_10,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_9_11,plain,
! [X] :
( ~ cC10(X)
<=> ( ~ cC4(X)
| ~ cC8(X) ) ),
inference(specialize,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
! [X] :
( ( ~ cC10(X)
| cC4(X) )
& ( ~ cC10(X)
| cC8(X) )
& ( ~ cC4(X)
| ~ cC8(X)
| cC10(X) ) ),
inference(clausify,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
! [X] :
( ~ cC10(X)
| cC8(X) ),
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_14,plain,
~ cC8(iV8467),
inference(conjunct,[],[normalize_9_8]) ).
cnf(refute_9_0,plain,
cC10(iV8467),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_1,plain,
( ~ cC10(X)
| cC8(X) ),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_2,plain,
( ~ cC10(iV8467)
| cC8(iV8467) ),
inference(subst,[],[refute_9_1:[bind(X,$fot(iV8467))]]) ).
cnf(refute_9_3,plain,
cC8(iV8467),
inference(resolve,[$cnf( cC10(iV8467) )],[refute_9_0,refute_9_2]) ).
cnf(refute_9_4,plain,
~ cC8(iV8467),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_5,plain,
$false,
inference(resolve,[$cnf( cC8(iV8467) )],[refute_9_3,refute_9_4]) ).
fof(negate_10_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467) )
=> cC20(iV8467) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( ~ cC20(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& ! [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,
( ~ cC20(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC8(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_10_0,normalize_10_3,normalize_10_5,normalize_10_7]) ).
fof(normalize_10_9,plain,
cC4(iV8467),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_10,plain,
! [X] :
( ~ cC4(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_17]) ).
fof(normalize_10_11,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_10_12,plain,
! [X] :
( ~ cC20(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC2(Y) ) ),
inference(specialize,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(simplify,[],[normalize_10_10,normalize_10_12]) ).
fof(normalize_10_14,plain,
! [X] :
( ~ cC20(X)
<=> ~ cC4(X) ),
inference(specialize,[],[normalize_10_13]) ).
fof(normalize_10_15,plain,
! [X] :
( ( ~ cC20(X)
| cC4(X) )
& ( ~ cC4(X)
| cC20(X) ) ),
inference(clausify,[],[normalize_10_14]) ).
fof(normalize_10_16,plain,
! [X] :
( ~ cC4(X)
| cC20(X) ),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_17,plain,
~ cC20(iV8467),
inference(conjunct,[],[normalize_10_8]) ).
cnf(refute_10_0,plain,
cC4(iV8467),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_1,plain,
( ~ cC4(X)
| cC20(X) ),
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_2,plain,
( ~ cC4(iV8467)
| cC20(iV8467) ),
inference(subst,[],[refute_10_1:[bind(X,$fot(iV8467))]]) ).
cnf(refute_10_3,plain,
cC20(iV8467),
inference(resolve,[$cnf( cC4(iV8467) )],[refute_10_0,refute_10_2]) ).
cnf(refute_10_4,plain,
~ cC20(iV8467),
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_5,plain,
$false,
inference(resolve,[$cnf( cC20(iV8467) )],[refute_10_3,refute_10_4]) ).
fof(negate_11_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467) )
=> cowlThing(iV8467) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( ~ cowlThing(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
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]) ).
fof(negate_12_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467) )
=> cC62(iV8467) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
rR1(iV8467,iV8472),
inference(canonicalize,[],[axiom_60]) ).
fof(normalize_12_1,plain,
! [X] :
( ~ cC62(X)
<=> ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_30]) ).
fof(normalize_12_2,plain,
! [X] :
( ~ cC62(X)
<=> ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) ) ),
inference(specialize,[],[normalize_12_1]) ).
fof(normalize_12_3,plain,
! [X,Y] :
( ( ~ cC62(X)
| cC60(skolemFOFtoCNF_Y_12(X)) )
& ( ~ cC62(X)
| rR1(X,skolemFOFtoCNF_Y_12(X)) )
& ( ~ cC60(Y)
| ~ rR1(X,Y)
| cC62(X) ) ),
inference(clausify,[],[normalize_12_2]) ).
fof(normalize_12_4,plain,
! [X,Y] :
( ~ cC60(Y)
| ~ rR1(X,Y)
| cC62(X) ),
inference(conjunct,[],[normalize_12_3]) ).
fof(normalize_12_5,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(canonicalize,[],[axiom_29]) ).
fof(normalize_12_6,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(specialize,[],[normalize_12_5]) ).
fof(normalize_12_7,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC60(X) )
& ( ~ cC60(X)
| cC58(X) )
& ( ~ cC58(X)
| cC2(X)
| cC60(X) ) ),
inference(clausify,[],[normalize_12_6]) ).
fof(normalize_12_8,plain,
! [X] :
( ~ cC58(X)
| cC2(X)
| cC60(X) ),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
! [X] :
( ~ cC58(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_27]) ).
fof(normalize_12_10,plain,
! [X] :
( ~ cC32(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_13]) ).
fof(normalize_12_11,plain,
! [X] :
( ~ cC32(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(specialize,[],[normalize_12_10]) ).
fof(normalize_12_12,plain,
! [X] :
( ~ cC32(X)
<=> ~ cC58(X) ),
inference(simplify,[],[normalize_12_9,normalize_12_11]) ).
fof(normalize_12_13,plain,
! [X] :
( ~ cC32(X)
<=> ~ cC58(X) ),
inference(specialize,[],[normalize_12_12]) ).
fof(normalize_12_14,plain,
! [X] :
( ( ~ cC32(X)
| cC58(X) )
& ( ~ cC58(X)
| cC32(X) ) ),
inference(clausify,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
! [X] :
( ~ cC32(X)
| cC58(X) ),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_16,plain,
rR1(iV8472,iV8476),
inference(canonicalize,[],[axiom_76]) ).
fof(normalize_12_17,plain,
! [X,Y] :
( ( ~ cC32(X)
| cC2(skolemFOFtoCNF_Y_6(X)) )
& ( ~ cC32(X)
| rR1(X,skolemFOFtoCNF_Y_6(X)) )
& ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ) ),
inference(clausify,[],[normalize_12_11]) ).
fof(normalize_12_18,plain,
! [X,Y] :
( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_19,plain,
cC2(iV8476),
inference(canonicalize,[],[axiom_84]) ).
fof(normalize_12_20,plain,
~ cC2(iV8472),
inference(canonicalize,[],[axiom_74]) ).
fof(normalize_12_21,plain,
( ~ cC62(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cowlThing(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_12_0]) ).
fof(normalize_12_22,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_12_23,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_12_24,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_12_23]) ).
fof(normalize_12_25,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_12_24]) ).
fof(normalize_12_26,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_12_23]) ).
fof(normalize_12_27,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_12_26]) ).
fof(normalize_12_28,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_12_29,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_12_28]) ).
fof(normalize_12_30,plain,
( ~ cC62(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC8(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_12_21,normalize_12_22,normalize_12_25,normalize_12_27,normalize_12_29]) ).
fof(normalize_12_31,plain,
~ cC62(iV8467),
inference(conjunct,[],[normalize_12_30]) ).
cnf(refute_12_0,plain,
rR1(iV8467,iV8472),
inference(canonicalize,[],[normalize_12_0]) ).
cnf(refute_12_1,plain,
( ~ cC60(Y)
| ~ rR1(X,Y)
| cC62(X) ),
inference(canonicalize,[],[normalize_12_4]) ).
cnf(refute_12_2,plain,
( ~ cC60(iV8472)
| ~ rR1(iV8467,iV8472)
| cC62(iV8467) ),
inference(subst,[],[refute_12_1:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8472))]]) ).
cnf(refute_12_3,plain,
( ~ cC60(iV8472)
| cC62(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8472) )],[refute_12_0,refute_12_2]) ).
cnf(refute_12_4,plain,
( ~ cC58(X)
| cC2(X)
| cC60(X) ),
inference(canonicalize,[],[normalize_12_8]) ).
cnf(refute_12_5,plain,
( ~ cC58(iV8472)
| cC2(iV8472)
| cC60(iV8472) ),
inference(subst,[],[refute_12_4:[bind(X,$fot(iV8472))]]) ).
cnf(refute_12_6,plain,
( ~ cC32(X)
| cC58(X) ),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_7,plain,
( ~ cC32(iV8472)
| cC58(iV8472) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(iV8472))]]) ).
cnf(refute_12_8,plain,
rR1(iV8472,iV8476),
inference(canonicalize,[],[normalize_12_16]) ).
cnf(refute_12_9,plain,
( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ),
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_10,plain,
( ~ cC2(iV8476)
| ~ rR1(iV8472,iV8476)
| cC32(iV8472) ),
inference(subst,[],[refute_12_9:[bind(X,$fot(iV8472)),bind(Y,$fot(iV8476))]]) ).
cnf(refute_12_11,plain,
( ~ cC2(iV8476)
| cC32(iV8472) ),
inference(resolve,[$cnf( rR1(iV8472,iV8476) )],[refute_12_8,refute_12_10]) ).
cnf(refute_12_12,plain,
cC2(iV8476),
inference(canonicalize,[],[normalize_12_19]) ).
cnf(refute_12_13,plain,
cC32(iV8472),
inference(resolve,[$cnf( cC2(iV8476) )],[refute_12_12,refute_12_11]) ).
cnf(refute_12_14,plain,
cC58(iV8472),
inference(resolve,[$cnf( cC32(iV8472) )],[refute_12_13,refute_12_7]) ).
cnf(refute_12_15,plain,
( cC2(iV8472)
| cC60(iV8472) ),
inference(resolve,[$cnf( cC58(iV8472) )],[refute_12_14,refute_12_5]) ).
cnf(refute_12_16,plain,
~ cC2(iV8472),
inference(canonicalize,[],[normalize_12_20]) ).
cnf(refute_12_17,plain,
cC60(iV8472),
inference(resolve,[$cnf( cC2(iV8472) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
cC62(iV8467),
inference(resolve,[$cnf( cC60(iV8472) )],[refute_12_17,refute_12_3]) ).
cnf(refute_12_19,plain,
~ cC62(iV8467),
inference(canonicalize,[],[normalize_12_31]) ).
cnf(refute_12_20,plain,
$false,
inference(resolve,[$cnf( cC62(iV8467) )],[refute_12_18,refute_12_19]) ).
fof(negate_13_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467) )
=> cC34(iV8467) ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
rR1(iV8467,iV8474),
inference(canonicalize,[],[axiom_61]) ).
fof(normalize_13_1,plain,
! [X] :
( ~ cC34(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC32(Y) ) ),
inference(canonicalize,[],[axiom_14]) ).
fof(normalize_13_2,plain,
! [X] :
( ~ cC34(X)
<=> ! [Y] :
( ~ rR1(X,Y)
| cC32(Y) ) ),
inference(specialize,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
! [X,Y] :
( ( ~ cC32(skolemFOFtoCNF_Y_7(X))
| ~ cC34(X) )
& ( ~ cC34(X)
| rR1(X,skolemFOFtoCNF_Y_7(X)) )
& ( ~ rR1(X,Y)
| cC32(Y)
| cC34(X) ) ),
inference(clausify,[],[normalize_13_2]) ).
fof(normalize_13_4,plain,
! [X,Y] :
( ~ rR1(X,Y)
| cC32(Y)
| cC34(X) ),
inference(conjunct,[],[normalize_13_3]) ).
fof(normalize_13_5,plain,
~ cC32(iV8474),
inference(canonicalize,[],[axiom_80]) ).
fof(normalize_13_6,plain,
( ~ cC34(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cowlThing(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_7,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_13_8,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_13_9,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_10,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_13_9]) ).
fof(normalize_13_11,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_12,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_13_14,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_13_13]) ).
fof(normalize_13_15,plain,
( ~ cC34(iV8467)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_13_6,normalize_13_7,normalize_13_10,normalize_13_12,normalize_13_14]) ).
fof(normalize_13_16,plain,
~ cC34(iV8467),
inference(conjunct,[],[normalize_13_15]) ).
cnf(refute_13_0,plain,
rR1(iV8467,iV8474),
inference(canonicalize,[],[normalize_13_0]) ).
cnf(refute_13_1,plain,
( ~ rR1(X,Y)
| cC32(Y)
| cC34(X) ),
inference(canonicalize,[],[normalize_13_4]) ).
cnf(refute_13_2,plain,
( ~ rR1(iV8467,iV8474)
| cC32(iV8474)
| cC34(iV8467) ),
inference(subst,[],[refute_13_1:[bind(X,$fot(iV8467)),bind(Y,$fot(iV8474))]]) ).
cnf(refute_13_3,plain,
( cC32(iV8474)
| cC34(iV8467) ),
inference(resolve,[$cnf( rR1(iV8467,iV8474) )],[refute_13_0,refute_13_2]) ).
cnf(refute_13_4,plain,
~ cC32(iV8474),
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_5,plain,
cC34(iV8467),
inference(resolve,[$cnf( cC32(iV8474) )],[refute_13_3,refute_13_4]) ).
cnf(refute_13_6,plain,
~ cC34(iV8467),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_7,plain,
$false,
inference(resolve,[$cnf( cC34(iV8467) )],[refute_13_5,refute_13_6]) ).
fof(negate_14_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467) )
=> cowlThing(iV8471) ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( ~ cowlThing(iV8471)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cowlThing(iV8467)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
cowlThing(iV8471),
inference(canonicalize,[],[axiom_72]) ).
fof(normalize_14_2,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_14_3,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_14_4,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_5,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_14_4]) ).
fof(normalize_14_6,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_7,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_14_6]) ).
fof(normalize_14_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_14_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_14_8]) ).
fof(normalize_14_10,plain,
$false,
inference(simplify,[],[normalize_14_0,normalize_14_1,normalize_14_2,normalize_14_5,normalize_14_7,normalize_14_9]) ).
cnf(refute_14_0,plain,
$false,
inference(canonicalize,[],[normalize_14_10]) ).
fof(negate_15_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471) )
=> cC80(iV8471) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( ~ cC80(iV8471)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cowlThing(iV8467)
& cowlThing(iV8471)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_15_2,plain,
cowlThing(iV8471),
inference(canonicalize,[],[axiom_72]) ).
fof(normalize_15_3,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_15_4,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_15_4]) ).
fof(normalize_15_6,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_7,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_15_6]) ).
fof(normalize_15_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_15_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_15_8]) ).
fof(normalize_15_10,plain,
( ~ cC80(iV8471)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC82(iV8467) ),
inference(simplify,[],[normalize_15_0,normalize_15_1,normalize_15_2,normalize_15_5,normalize_15_7,normalize_15_9]) ).
fof(normalize_15_11,plain,
~ cC80(iV8471),
inference(conjunct,[],[normalize_15_10]) ).
fof(normalize_15_12,plain,
! [X] :
( ~ cC80(X)
<=> ( cC2(X)
| cC78(X) ) ),
inference(canonicalize,[],[axiom_40]) ).
fof(normalize_15_13,plain,
! [X] :
( ~ cC80(X)
<=> ( cC2(X)
| cC78(X) ) ),
inference(specialize,[],[normalize_15_12]) ).
fof(normalize_15_14,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC80(X) )
& ( ~ cC78(X)
| ~ cC80(X) )
& ( cC2(X)
| cC78(X)
| cC80(X) ) ),
inference(clausify,[],[normalize_15_13]) ).
fof(normalize_15_15,plain,
! [X] :
( cC2(X)
| cC78(X)
| cC80(X) ),
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_16,plain,
~ cC2(iV8471),
inference(canonicalize,[],[axiom_70]) ).
fof(normalize_15_17,plain,
~ cC78(iV8471),
inference(canonicalize,[],[axiom_71]) ).
cnf(refute_15_0,plain,
~ cC80(iV8471),
inference(canonicalize,[],[normalize_15_11]) ).
cnf(refute_15_1,plain,
( cC2(X)
| cC78(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_2,plain,
( cC2(iV8471)
| cC78(iV8471)
| cC80(iV8471) ),
inference(subst,[],[refute_15_1:[bind(X,$fot(iV8471))]]) ).
cnf(refute_15_3,plain,
( cC2(iV8471)
| cC78(iV8471) ),
inference(resolve,[$cnf( cC80(iV8471) )],[refute_15_2,refute_15_0]) ).
cnf(refute_15_4,plain,
~ cC2(iV8471),
inference(canonicalize,[],[normalize_15_16]) ).
cnf(refute_15_5,plain,
cC78(iV8471),
inference(resolve,[$cnf( cC2(iV8471) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
~ cC78(iV8471),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_7,plain,
$false,
inference(resolve,[$cnf( cC78(iV8471) )],[refute_15_5,refute_15_6]) ).
fof(negate_16_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471) )
=> cC60(iV8472) ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(canonicalize,[],[axiom_29]) ).
fof(normalize_16_1,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(specialize,[],[normalize_16_0]) ).
fof(normalize_16_2,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC60(X) )
& ( ~ cC60(X)
| cC58(X) )
& ( ~ cC58(X)
| cC2(X)
| cC60(X) ) ),
inference(clausify,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
! [X] :
( ~ cC58(X)
| cC2(X)
| cC60(X) ),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_4,plain,
! [X] :
( ~ cC58(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_27]) ).
fof(normalize_16_5,plain,
! [X] :
( ~ cC32(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(canonicalize,[],[axiom_13]) ).
fof(normalize_16_6,plain,
! [X] :
( ~ cC32(X)
<=> ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) ),
inference(specialize,[],[normalize_16_5]) ).
fof(normalize_16_7,plain,
! [X] :
( ~ cC32(X)
<=> ~ cC58(X) ),
inference(simplify,[],[normalize_16_4,normalize_16_6]) ).
fof(normalize_16_8,plain,
! [X] :
( ~ cC32(X)
<=> ~ cC58(X) ),
inference(specialize,[],[normalize_16_7]) ).
fof(normalize_16_9,plain,
! [X] :
( ( ~ cC32(X)
| cC58(X) )
& ( ~ cC58(X)
| cC32(X) ) ),
inference(clausify,[],[normalize_16_8]) ).
fof(normalize_16_10,plain,
! [X] :
( ~ cC32(X)
| cC58(X) ),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
rR1(iV8472,iV8476),
inference(canonicalize,[],[axiom_76]) ).
fof(normalize_16_12,plain,
! [X,Y] :
( ( ~ cC32(X)
| cC2(skolemFOFtoCNF_Y_6(X)) )
& ( ~ cC32(X)
| rR1(X,skolemFOFtoCNF_Y_6(X)) )
& ( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ) ),
inference(clausify,[],[normalize_16_6]) ).
fof(normalize_16_13,plain,
! [X,Y] :
( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ),
inference(conjunct,[],[normalize_16_12]) ).
fof(normalize_16_14,plain,
cC2(iV8476),
inference(canonicalize,[],[axiom_84]) ).
fof(normalize_16_15,plain,
~ cC2(iV8472),
inference(canonicalize,[],[axiom_74]) ).
fof(normalize_16_16,plain,
( ~ cC60(iV8472)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC80(iV8471)
& cC82(iV8467)
& cowlThing(iV8467)
& cowlThing(iV8471)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_17,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_16_18,plain,
cowlThing(iV8471),
inference(canonicalize,[],[axiom_72]) ).
fof(normalize_16_19,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_16_20,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_21,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_16_20]) ).
fof(normalize_16_22,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_23,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_16_22]) ).
fof(normalize_16_24,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_16_25,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_16_24]) ).
fof(normalize_16_26,plain,
( ~ cC60(iV8472)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC62(iV8467)
& cC8(iV8467)
& cC80(iV8471)
& cC82(iV8467) ),
inference(simplify,[],[normalize_16_16,normalize_16_17,normalize_16_18,normalize_16_21,normalize_16_23,normalize_16_25]) ).
fof(normalize_16_27,plain,
~ cC60(iV8472),
inference(conjunct,[],[normalize_16_26]) ).
cnf(refute_16_0,plain,
( ~ cC58(X)
| cC2(X)
| cC60(X) ),
inference(canonicalize,[],[normalize_16_3]) ).
cnf(refute_16_1,plain,
( ~ cC58(iV8472)
| cC2(iV8472)
| cC60(iV8472) ),
inference(subst,[],[refute_16_0:[bind(X,$fot(iV8472))]]) ).
cnf(refute_16_2,plain,
( ~ cC32(X)
| cC58(X) ),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_3,plain,
( ~ cC32(iV8472)
| cC58(iV8472) ),
inference(subst,[],[refute_16_2:[bind(X,$fot(iV8472))]]) ).
cnf(refute_16_4,plain,
rR1(iV8472,iV8476),
inference(canonicalize,[],[normalize_16_11]) ).
cnf(refute_16_5,plain,
( ~ cC2(Y)
| ~ rR1(X,Y)
| cC32(X) ),
inference(canonicalize,[],[normalize_16_13]) ).
cnf(refute_16_6,plain,
( ~ cC2(iV8476)
| ~ rR1(iV8472,iV8476)
| cC32(iV8472) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(iV8472)),bind(Y,$fot(iV8476))]]) ).
cnf(refute_16_7,plain,
( ~ cC2(iV8476)
| cC32(iV8472) ),
inference(resolve,[$cnf( rR1(iV8472,iV8476) )],[refute_16_4,refute_16_6]) ).
cnf(refute_16_8,plain,
cC2(iV8476),
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_9,plain,
cC32(iV8472),
inference(resolve,[$cnf( cC2(iV8476) )],[refute_16_8,refute_16_7]) ).
cnf(refute_16_10,plain,
cC58(iV8472),
inference(resolve,[$cnf( cC32(iV8472) )],[refute_16_9,refute_16_3]) ).
cnf(refute_16_11,plain,
( cC2(iV8472)
| cC60(iV8472) ),
inference(resolve,[$cnf( cC58(iV8472) )],[refute_16_10,refute_16_1]) ).
cnf(refute_16_12,plain,
~ cC2(iV8472),
inference(canonicalize,[],[normalize_16_15]) ).
cnf(refute_16_13,plain,
cC60(iV8472),
inference(resolve,[$cnf( cC2(iV8472) )],[refute_16_11,refute_16_12]) ).
cnf(refute_16_14,plain,
~ cC60(iV8472),
inference(canonicalize,[],[normalize_16_27]) ).
cnf(refute_16_15,plain,
$false,
inference(resolve,[$cnf( cC60(iV8472) )],[refute_16_13,refute_16_14]) ).
fof(negate_17_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472) )
=> cowlThing(iV8472) ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( ~ cowlThing(iV8472)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC60(iV8472)
& cC62(iV8467)
& cC8(iV8467)
& cC80(iV8471)
& cC82(iV8467)
& cowlThing(iV8467)
& cowlThing(iV8471)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
cowlThing(iV8472),
inference(canonicalize,[],[axiom_75]) ).
fof(normalize_17_2,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_17_3,plain,
cowlThing(iV8471),
inference(canonicalize,[],[axiom_72]) ).
fof(normalize_17_4,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_17_5,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_6,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_17_5]) ).
fof(normalize_17_7,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_8,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_17_10,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
$false,
inference(simplify,[],[normalize_17_0,normalize_17_1,normalize_17_2,normalize_17_3,normalize_17_6,normalize_17_8,normalize_17_10]) ).
cnf(refute_17_0,plain,
$false,
inference(canonicalize,[],[normalize_17_11]) ).
fof(negate_18_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472) )
=> cC58(iV8472) ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( ~ cC58(iV8472)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC60(iV8472)
& cC62(iV8467)
& cC8(iV8467)
& cC80(iV8471)
& cC82(iV8467)
& cowlThing(iV8467)
& cowlThing(iV8471)
& cowlThing(iV8472)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
cowlThing(iV8467),
inference(canonicalize,[],[axiom_52]) ).
fof(normalize_18_2,plain,
cowlThing(iV8471),
inference(canonicalize,[],[axiom_72]) ).
fof(normalize_18_3,plain,
cowlThing(iV8472),
inference(canonicalize,[],[axiom_75]) ).
fof(normalize_18_4,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_18_5,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_6,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_18_5]) ).
fof(normalize_18_7,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_8,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_18_7]) ).
fof(normalize_18_9,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_18_10,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_18_9]) ).
fof(normalize_18_11,plain,
( ~ cC58(iV8472)
& cC10(iV8467)
& cC14(iV8467)
& cC20(iV8467)
& cC34(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC60(iV8472)
& cC62(iV8467)
& cC8(iV8467)
& cC80(iV8471)
& cC82(iV8467) ),
inference(simplify,[],[normalize_18_0,normalize_18_1,normalize_18_2,normalize_18_3,normalize_18_6,normalize_18_8,normalize_18_10]) ).
fof(normalize_18_12,plain,
cC60(iV8472),
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_13,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(canonicalize,[],[axiom_29]) ).
fof(normalize_18_14,plain,
! [X] :
( ~ cC60(X)
<=> ( ~ cC58(X)
| cC2(X) ) ),
inference(specialize,[],[normalize_18_13]) ).
fof(normalize_18_15,plain,
! [X] :
( ( ~ cC2(X)
| ~ cC60(X) )
& ( ~ cC60(X)
| cC58(X) )
& ( ~ cC58(X)
| cC2(X)
| cC60(X) ) ),
inference(clausify,[],[normalize_18_14]) ).
fof(normalize_18_16,plain,
! [X] :
( ~ cC60(X)
| cC58(X) ),
inference(conjunct,[],[normalize_18_15]) ).
fof(normalize_18_17,plain,
~ cC58(iV8472),
inference(conjunct,[],[normalize_18_11]) ).
cnf(refute_18_0,plain,
cC60(iV8472),
inference(canonicalize,[],[normalize_18_12]) ).
cnf(refute_18_1,plain,
( ~ cC60(X)
| cC58(X) ),
inference(canonicalize,[],[normalize_18_16]) ).
cnf(refute_18_2,plain,
( ~ cC60(iV8472)
| cC58(iV8472) ),
inference(subst,[],[refute_18_1:[bind(X,$fot(iV8472))]]) ).
cnf(refute_18_3,plain,
cC58(iV8472),
inference(resolve,[$cnf( cC60(iV8472) )],[refute_18_0,refute_18_2]) ).
cnf(refute_18_4,plain,
~ cC58(iV8472),
inference(canonicalize,[],[normalize_18_17]) ).
cnf(refute_18_5,plain,
$false,
inference(resolve,[$cnf( cC58(iV8472) )],[refute_18_3,refute_18_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS147+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 11:55:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.02/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.19
% 1.02/1.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.02/1.20
%------------------------------------------------------------------------------