TSTP Solution File: KRS154+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 03:18:58 EDT 2022
% Result : Theorem 0.88s 1.05s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 372 ( 158 unt; 0 def)
% Number of atoms : 944 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 991 ( 419 ~; 170 |; 277 &)
% ( 97 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 310 ( 2 sgn 273 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) ).
fof(axiom_16,axiom,
! [X] :
( cC110(X)
<=> ~ ? [Y] : ra_Px37(X,Y) ) ).
fof(axiom_17,axiom,
! [X] :
( cC110xcomp(X)
<=> ? [Y0] : ra_Px37(X,Y0) ) ).
fof(axiom_18,axiom,
! [X] :
( cC112(X)
<=> ( cC4(X)
& cC110xcomp(X) ) ) ).
fof(axiom_19,axiom,
! [X] :
( cC112(X)
<=> ? [Y0] : ra_Px39(X,Y0) ) ).
fof(axiom_20,axiom,
! [X] :
( cC112xcomp(X)
<=> ~ ? [Y] : ra_Px39(X,Y) ) ).
fof(axiom_21,axiom,
! [X] :
( cC114(X)
<=> ( cC112xcomp(X)
& cC96xcomp(X) ) ) ).
fof(axiom_22,axiom,
! [X] :
( cC116(X)
<=> ( cC114(X)
& cC80(X) ) ) ).
fof(axiom_23,axiom,
! [X] :
( cC118(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ) ).
fof(axiom_42,axiom,
! [X] :
( cC136(X)
<=> ( cC134xcomp(X)
& cC116(X) ) ) ).
fof(axiom_93,axiom,
! [X] :
( cC56(X)
<=> ( cC4(X)
& cC10xcomp(X) ) ) ).
fof(axiom_94,axiom,
! [X] :
( cC58(X)
<=> ( cC34(X)
& cC56(X) ) ) ).
fof(axiom_117,axiom,
! [X] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC76xcomp(X) ) ) ).
fof(axiom_136,axiom,
! [X] :
( cC94(X)
<=> ( cC86xcomp(X)
& cC92xcomp(X) ) ) ).
fof(axiom_149,axiom,
cC4(iV822576) ).
fof(axiom_151,axiom,
cC112xcomp(iV822576) ).
fof(axiom_152,axiom,
cC76xcomp(iV822576) ).
fof(axiom_153,axiom,
cC96xcomp(iV822576) ).
fof(axiom_158,axiom,
cC78xcomp(iV822576) ).
fof(axiom_160,axiom,
cC134xcomp(iV822576) ).
fof(axiom_161,axiom,
cC86xcomp(iV822576) ).
fof(axiom_162,axiom,
cC34(iV822576) ).
fof(axiom_166,axiom,
cowlThing(iV822576) ).
fof(axiom_167,axiom,
cC10xcomp(iV822576) ).
fof(axiom_168,axiom,
cC92xcomp(iV822576) ).
fof(the_axiom,conjecture,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(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) ) )
=> cC58(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_5,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576) )
=> cC116(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_6,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576) )
=> cC114(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_7,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576) )
=> cowlThing(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_8,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576) )
=> cC94(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_9,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576) )
=> cC80(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_10,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576) )
=> cC110(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_11,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576) )
=> cC136(iV822576) ),
inference(strip,[],[the_axiom]) ).
fof(subgoal_12,plain,
( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576) )
=> cC56(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) ) )
=> cC58(iV822576) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(canonicalize,[],[axiom_94]) ).
fof(normalize_4_1,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(specialize,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
! [X] :
( ( ~ cC58(X)
| cC34(X) )
& ( ~ cC58(X)
| cC56(X) )
& ( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ) ),
inference(clausify,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
! [X] :
( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
! [X] :
( ~ cC56(X)
<=> ( ~ cC10xcomp(X)
| ~ cC4(X) ) ),
inference(canonicalize,[],[axiom_93]) ).
fof(normalize_4_5,plain,
! [X] :
( ~ cC118(X)
<=> ( ~ cC10xcomp(X)
| ~ cC4(X) ) ),
inference(canonicalize,[],[axiom_23]) ).
fof(normalize_4_6,plain,
! [X] :
( ~ cC118(X)
<=> ( ~ cC10xcomp(X)
| ~ cC4(X) ) ),
inference(specialize,[],[normalize_4_5]) ).
fof(normalize_4_7,plain,
! [X] :
( ~ cC118(X)
<=> ~ cC56(X) ),
inference(simplify,[],[normalize_4_4,normalize_4_6]) ).
fof(normalize_4_8,plain,
! [X] :
( ~ cC118(X)
<=> ~ cC56(X) ),
inference(specialize,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
! [X] :
( ( ~ cC118(X)
| cC56(X) )
& ( ~ cC56(X)
| cC118(X) ) ),
inference(clausify,[],[normalize_4_8]) ).
fof(normalize_4_10,plain,
! [X] :
( ~ cC118(X)
| cC56(X) ),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
cC4(iV822576),
inference(canonicalize,[],[axiom_149]) ).
fof(normalize_4_12,plain,
! [X] :
( ( ~ cC118(X)
| cC10xcomp(X) )
& ( ~ cC118(X)
| cC4(X) )
& ( ~ cC10xcomp(X)
| ~ cC4(X)
| cC118(X) ) ),
inference(clausify,[],[normalize_4_6]) ).
fof(normalize_4_13,plain,
! [X] :
( ~ cC10xcomp(X)
| ~ cC4(X)
| cC118(X) ),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
cC10xcomp(iV822576),
inference(canonicalize,[],[axiom_167]) ).
fof(normalize_4_15,plain,
cC34(iV822576),
inference(canonicalize,[],[axiom_162]) ).
fof(normalize_4_16,plain,
( ~ cC58(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_17,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_4_18,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_19,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_4_18]) ).
fof(normalize_4_20,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_21,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_4_20]) ).
fof(normalize_4_22,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_4_23,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_4_22]) ).
fof(normalize_4_24,plain,
~ cC58(iV822576),
inference(simplify,[],[normalize_4_16,normalize_4_19,normalize_4_21,normalize_4_23]) ).
cnf(refute_4_0,plain,
( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_1,plain,
( ~ cC34(iV822576)
| ~ cC56(iV822576)
| cC58(iV822576) ),
inference(subst,[],[refute_4_0:[bind(X,$fot(iV822576))]]) ).
cnf(refute_4_2,plain,
( ~ cC118(X)
| cC56(X) ),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_3,plain,
( ~ cC118(iV822576)
| cC56(iV822576) ),
inference(subst,[],[refute_4_2:[bind(X,$fot(iV822576))]]) ).
cnf(refute_4_4,plain,
cC4(iV822576),
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_5,plain,
( ~ cC10xcomp(X)
| ~ cC4(X)
| cC118(X) ),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_6,plain,
( ~ cC10xcomp(iV822576)
| ~ cC4(iV822576)
| cC118(iV822576) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(iV822576))]]) ).
cnf(refute_4_7,plain,
( ~ cC10xcomp(iV822576)
| cC118(iV822576) ),
inference(resolve,[$cnf( cC4(iV822576) )],[refute_4_4,refute_4_6]) ).
cnf(refute_4_8,plain,
cC10xcomp(iV822576),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_9,plain,
cC118(iV822576),
inference(resolve,[$cnf( cC10xcomp(iV822576) )],[refute_4_8,refute_4_7]) ).
cnf(refute_4_10,plain,
cC56(iV822576),
inference(resolve,[$cnf( cC118(iV822576) )],[refute_4_9,refute_4_3]) ).
cnf(refute_4_11,plain,
( ~ cC34(iV822576)
| cC58(iV822576) ),
inference(resolve,[$cnf( cC56(iV822576) )],[refute_4_10,refute_4_1]) ).
cnf(refute_4_12,plain,
cC34(iV822576),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_13,plain,
cC58(iV822576),
inference(resolve,[$cnf( cC34(iV822576) )],[refute_4_12,refute_4_11]) ).
cnf(refute_4_14,plain,
~ cC58(iV822576),
inference(canonicalize,[],[normalize_4_24]) ).
cnf(refute_4_15,plain,
$false,
inference(resolve,[$cnf( cC58(iV822576) )],[refute_4_13,refute_4_14]) ).
fof(negate_5_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576) )
=> cC116(iV822576) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
cC96xcomp(iV822576),
inference(canonicalize,[],[axiom_153]) ).
fof(normalize_5_1,plain,
! [X] :
( ~ cC114(X)
<=> ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ),
inference(canonicalize,[],[axiom_21]) ).
fof(normalize_5_2,plain,
! [X] :
( ~ cC114(X)
<=> ( ~ cC112xcomp(X)
| ~ cC96xcomp(X) ) ),
inference(specialize,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
! [X] :
( ( ~ cC114(X)
| cC112xcomp(X) )
& ( ~ cC114(X)
| cC96xcomp(X) )
& ( ~ cC112xcomp(X)
| ~ cC96xcomp(X)
| cC114(X) ) ),
inference(clausify,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
! [X] :
( ~ cC112xcomp(X)
| ~ cC96xcomp(X)
| cC114(X) ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
cC112xcomp(iV822576),
inference(canonicalize,[],[axiom_151]) ).
fof(normalize_5_6,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_22]) ).
fof(normalize_5_7,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
! [X] :
( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_10,plain,
cC78xcomp(iV822576),
inference(canonicalize,[],[axiom_158]) ).
fof(normalize_5_11,plain,
! [X] :
( ~ cC80(X)
<=> ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ),
inference(canonicalize,[],[axiom_117]) ).
fof(normalize_5_12,plain,
! [X] :
( ~ cC80(X)
<=> ( ~ cC76xcomp(X)
| ~ cC78xcomp(X) ) ),
inference(specialize,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
! [X] :
( ( ~ cC80(X)
| cC76xcomp(X) )
& ( ~ cC80(X)
| cC78xcomp(X) )
& ( ~ cC76xcomp(X)
| ~ cC78xcomp(X)
| cC80(X) ) ),
inference(clausify,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
! [X] :
( ~ cC76xcomp(X)
| ~ cC78xcomp(X)
| cC80(X) ),
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_15,plain,
cC76xcomp(iV822576),
inference(canonicalize,[],[axiom_152]) ).
fof(normalize_5_16,plain,
( ~ cC116(iV822576)
& cC58(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_17,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_5_18,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_5_17]) ).
fof(normalize_5_19,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_5_18]) ).
fof(normalize_5_20,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_5_17]) ).
fof(normalize_5_21,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_5_20]) ).
fof(normalize_5_22,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_5_23,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_5_22]) ).
fof(normalize_5_24,plain,
( ~ cC116(iV822576)
& cC58(iV822576) ),
inference(simplify,[],[normalize_5_16,normalize_5_19,normalize_5_21,normalize_5_23]) ).
fof(normalize_5_25,plain,
~ cC116(iV822576),
inference(conjunct,[],[normalize_5_24]) ).
cnf(refute_5_0,plain,
cC96xcomp(iV822576),
inference(canonicalize,[],[normalize_5_0]) ).
cnf(refute_5_1,plain,
( ~ cC112xcomp(X)
| ~ cC96xcomp(X)
| cC114(X) ),
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_2,plain,
( ~ cC112xcomp(iV822576)
| ~ cC96xcomp(iV822576)
| cC114(iV822576) ),
inference(subst,[],[refute_5_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_5_3,plain,
( ~ cC112xcomp(iV822576)
| cC114(iV822576) ),
inference(resolve,[$cnf( cC96xcomp(iV822576) )],[refute_5_0,refute_5_2]) ).
cnf(refute_5_4,plain,
cC112xcomp(iV822576),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_5,plain,
cC114(iV822576),
inference(resolve,[$cnf( cC112xcomp(iV822576) )],[refute_5_4,refute_5_3]) ).
cnf(refute_5_6,plain,
( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_7,plain,
( ~ cC114(iV822576)
| ~ cC80(iV822576)
| cC116(iV822576) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(iV822576))]]) ).
cnf(refute_5_8,plain,
cC78xcomp(iV822576),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_9,plain,
( ~ cC76xcomp(X)
| ~ cC78xcomp(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_10,plain,
( ~ cC76xcomp(iV822576)
| ~ cC78xcomp(iV822576)
| cC80(iV822576) ),
inference(subst,[],[refute_5_9:[bind(X,$fot(iV822576))]]) ).
cnf(refute_5_11,plain,
( ~ cC76xcomp(iV822576)
| cC80(iV822576) ),
inference(resolve,[$cnf( cC78xcomp(iV822576) )],[refute_5_8,refute_5_10]) ).
cnf(refute_5_12,plain,
cC76xcomp(iV822576),
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_13,plain,
cC80(iV822576),
inference(resolve,[$cnf( cC76xcomp(iV822576) )],[refute_5_12,refute_5_11]) ).
cnf(refute_5_14,plain,
( ~ cC114(iV822576)
| cC116(iV822576) ),
inference(resolve,[$cnf( cC80(iV822576) )],[refute_5_13,refute_5_7]) ).
cnf(refute_5_15,plain,
~ cC116(iV822576),
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_16,plain,
~ cC114(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_5_14,refute_5_15]) ).
cnf(refute_5_17,plain,
$false,
inference(resolve,[$cnf( cC114(iV822576) )],[refute_5_5,refute_5_16]) ).
fof(negate_6_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576) )
=> cC114(iV822576) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ~ cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [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,
( ~ cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576) ),
inference(simplify,[],[normalize_6_0,normalize_6_3,normalize_6_5,normalize_6_7]) ).
fof(normalize_6_9,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_22]) ).
fof(normalize_6_11,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
! [X] :
( ~ cC116(X)
| cC114(X) ),
inference(conjunct,[],[normalize_6_12]) ).
fof(normalize_6_14,plain,
~ cC114(iV822576),
inference(conjunct,[],[normalize_6_8]) ).
cnf(refute_6_0,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_1,plain,
( ~ cC116(X)
| cC114(X) ),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_2,plain,
( ~ cC116(iV822576)
| cC114(iV822576) ),
inference(subst,[],[refute_6_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_6_3,plain,
cC114(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_6_0,refute_6_2]) ).
cnf(refute_6_4,plain,
~ cC114(iV822576),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_5,plain,
$false,
inference(resolve,[$cnf( cC114(iV822576) )],[refute_6_3,refute_6_4]) ).
fof(negate_7_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576) )
=> cowlThing(iV822576) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( ~ cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_166]) ).
fof(normalize_7_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_7_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_7_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
$false,
inference(simplify,[],[normalize_7_0,normalize_7_1,normalize_7_4,normalize_7_6,normalize_7_8]) ).
cnf(refute_7_0,plain,
$false,
inference(canonicalize,[],[normalize_7_9]) ).
fof(negate_8_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576) )
=> cC94(iV822576) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
cC92xcomp(iV822576),
inference(canonicalize,[],[axiom_168]) ).
fof(normalize_8_1,plain,
! [X] :
( ~ cC94(X)
<=> ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ),
inference(canonicalize,[],[axiom_136]) ).
fof(normalize_8_2,plain,
! [X] :
( ~ cC94(X)
<=> ( ~ cC86xcomp(X)
| ~ cC92xcomp(X) ) ),
inference(specialize,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
! [X] :
( ( ~ cC94(X)
| cC86xcomp(X) )
& ( ~ cC94(X)
| cC92xcomp(X) )
& ( ~ cC86xcomp(X)
| ~ cC92xcomp(X)
| cC94(X) ) ),
inference(clausify,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
! [X] :
( ~ cC86xcomp(X)
| ~ cC92xcomp(X)
| cC94(X) ),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
cC86xcomp(iV822576),
inference(canonicalize,[],[axiom_161]) ).
fof(normalize_8_6,plain,
( ~ cC94(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X)
& ! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_7,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_166]) ).
fof(normalize_8_8,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_8_9,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_8_8]) ).
fof(normalize_8_10,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_8_8]) ).
fof(normalize_8_12,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_8_14,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_8_13]) ).
fof(normalize_8_15,plain,
( ~ cC94(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576) ),
inference(simplify,[],[normalize_8_6,normalize_8_7,normalize_8_10,normalize_8_12,normalize_8_14]) ).
fof(normalize_8_16,plain,
~ cC94(iV822576),
inference(conjunct,[],[normalize_8_15]) ).
cnf(refute_8_0,plain,
cC92xcomp(iV822576),
inference(canonicalize,[],[normalize_8_0]) ).
cnf(refute_8_1,plain,
( ~ cC86xcomp(X)
| ~ cC92xcomp(X)
| cC94(X) ),
inference(canonicalize,[],[normalize_8_4]) ).
cnf(refute_8_2,plain,
( ~ cC86xcomp(iV822576)
| ~ cC92xcomp(iV822576)
| cC94(iV822576) ),
inference(subst,[],[refute_8_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_8_3,plain,
( ~ cC86xcomp(iV822576)
| cC94(iV822576) ),
inference(resolve,[$cnf( cC92xcomp(iV822576) )],[refute_8_0,refute_8_2]) ).
cnf(refute_8_4,plain,
cC86xcomp(iV822576),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_5,plain,
cC94(iV822576),
inference(resolve,[$cnf( cC86xcomp(iV822576) )],[refute_8_4,refute_8_3]) ).
cnf(refute_8_6,plain,
~ cC94(iV822576),
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_7,plain,
$false,
inference(resolve,[$cnf( cC94(iV822576) )],[refute_8_5,refute_8_6]) ).
fof(negate_9_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576) )
=> cC80(iV822576) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ~ cC80(iV822576)
& cC114(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_9_0]) ).
fof(normalize_9_1,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_166]) ).
fof(normalize_9_2,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_9_3,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_9_3]) ).
fof(normalize_9_5,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_6,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_9_5]) ).
fof(normalize_9_7,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_9_8,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
( ~ cC80(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_9_0,normalize_9_1,normalize_9_4,normalize_9_6,normalize_9_8]) ).
fof(normalize_9_10,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_11,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(canonicalize,[],[axiom_22]) ).
fof(normalize_9_12,plain,
! [X] :
( ~ cC116(X)
<=> ( ~ cC114(X)
| ~ cC80(X) ) ),
inference(specialize,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
! [X] :
( ( ~ cC116(X)
| cC114(X) )
& ( ~ cC116(X)
| cC80(X) )
& ( ~ cC114(X)
| ~ cC80(X)
| cC116(X) ) ),
inference(clausify,[],[normalize_9_12]) ).
fof(normalize_9_14,plain,
! [X] :
( ~ cC116(X)
| cC80(X) ),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_15,plain,
~ cC80(iV822576),
inference(conjunct,[],[normalize_9_9]) ).
cnf(refute_9_0,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_1,plain,
( ~ cC116(X)
| cC80(X) ),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_2,plain,
( ~ cC116(iV822576)
| cC80(iV822576) ),
inference(subst,[],[refute_9_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_9_3,plain,
cC80(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_9_0,refute_9_2]) ).
cnf(refute_9_4,plain,
~ cC80(iV822576),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_5,plain,
$false,
inference(resolve,[$cnf( cC80(iV822576) )],[refute_9_3,refute_9_4]) ).
fof(negate_10_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576) )
=> cC110(iV822576) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
! [X] :
( ~ cC112xcomp(X)
<=> ? [Y] : ra_Px39(X,Y) ),
inference(canonicalize,[],[axiom_20]) ).
fof(normalize_10_1,plain,
! [X] :
( ~ cC112xcomp(X)
<=> ? [Y] : ra_Px39(X,Y) ),
inference(specialize,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
! [X,Y] :
( ( ~ cC112xcomp(X)
| ~ ra_Px39(X,Y) )
& ( cC112xcomp(X)
| ra_Px39(X,skolemFOFtoCNF_Y_7(X)) ) ),
inference(clausify,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
! [X,Y] :
( ~ cC112xcomp(X)
| ~ ra_Px39(X,Y) ),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
! [X] :
( ~ cC112(X)
<=> ! [Y0] : ~ ra_Px39(X,Y0) ),
inference(canonicalize,[],[axiom_19]) ).
fof(normalize_10_5,plain,
! [X] :
( ~ cC112(X)
<=> ! [Y0] : ~ ra_Px39(X,Y0) ),
inference(specialize,[],[normalize_10_4]) ).
fof(normalize_10_6,plain,
! [X,Y0] :
( ( ~ cC112(X)
| ra_Px39(X,skolemFOFtoCNF_Y0_5(X)) )
& ( ~ ra_Px39(X,Y0)
| cC112(X) ) ),
inference(clausify,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
! [X] :
( ~ cC112(X)
| ra_Px39(X,skolemFOFtoCNF_Y0_5(X)) ),
inference(conjunct,[],[normalize_10_6]) ).
fof(normalize_10_8,plain,
! [X] :
( ~ cC110(X)
<=> ? [Y] : ra_Px37(X,Y) ),
inference(canonicalize,[],[axiom_16]) ).
fof(normalize_10_9,plain,
! [X] :
( ~ cC110(X)
<=> ? [Y] : ra_Px37(X,Y) ),
inference(specialize,[],[normalize_10_8]) ).
fof(normalize_10_10,plain,
! [X,Y] :
( ( ~ cC110(X)
| ~ ra_Px37(X,Y) )
& ( cC110(X)
| ra_Px37(X,skolemFOFtoCNF_Y_6(X)) ) ),
inference(clausify,[],[normalize_10_9]) ).
fof(normalize_10_11,plain,
! [X] :
( cC110(X)
| ra_Px37(X,skolemFOFtoCNF_Y_6(X)) ),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_12,plain,
! [X] :
( ~ cC110xcomp(X)
<=> ! [Y0] : ~ ra_Px37(X,Y0) ),
inference(canonicalize,[],[axiom_17]) ).
fof(normalize_10_13,plain,
! [X] :
( ~ cC110xcomp(X)
<=> ! [Y0] : ~ ra_Px37(X,Y0) ),
inference(specialize,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
! [X,Y0] :
( ( ~ cC110xcomp(X)
| ra_Px37(X,skolemFOFtoCNF_Y0_4(X)) )
& ( ~ ra_Px37(X,Y0)
| cC110xcomp(X) ) ),
inference(clausify,[],[normalize_10_13]) ).
fof(normalize_10_15,plain,
! [X,Y0] :
( ~ ra_Px37(X,Y0)
| cC110xcomp(X) ),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_16,plain,
cC4(iV822576),
inference(canonicalize,[],[axiom_149]) ).
fof(normalize_10_17,plain,
! [X] :
( ~ cC112(X)
<=> ( ~ cC110xcomp(X)
| ~ cC4(X) ) ),
inference(canonicalize,[],[axiom_18]) ).
fof(normalize_10_18,plain,
! [X] :
( ~ cC112(X)
<=> ( ~ cC110xcomp(X)
| ~ cC4(X) ) ),
inference(specialize,[],[normalize_10_17]) ).
fof(normalize_10_19,plain,
! [X] :
( ( ~ cC112(X)
| cC110xcomp(X) )
& ( ~ cC112(X)
| cC4(X) )
& ( ~ cC110xcomp(X)
| ~ cC4(X)
| cC112(X) ) ),
inference(clausify,[],[normalize_10_18]) ).
fof(normalize_10_20,plain,
! [X] :
( ~ cC110xcomp(X)
| ~ cC4(X)
| cC112(X) ),
inference(conjunct,[],[normalize_10_19]) ).
fof(normalize_10_21,plain,
( ~ cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC80(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_22,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_166]) ).
fof(normalize_10_23,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_10_24,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_25,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_10_24]) ).
fof(normalize_10_26,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_27,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_10_26]) ).
fof(normalize_10_28,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_10_29,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_10_28]) ).
fof(normalize_10_30,plain,
( ~ cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC80(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_10_21,normalize_10_22,normalize_10_25,normalize_10_27,normalize_10_29]) ).
fof(normalize_10_31,plain,
~ cC110(iV822576),
inference(conjunct,[],[normalize_10_30]) ).
fof(normalize_10_32,plain,
cC112xcomp(iV822576),
inference(canonicalize,[],[axiom_151]) ).
cnf(refute_10_0,plain,
( ~ cC112xcomp(X)
| ~ ra_Px39(X,Y) ),
inference(canonicalize,[],[normalize_10_3]) ).
cnf(refute_10_1,plain,
( ~ cC112xcomp(iV822576)
| ~ ra_Px39(iV822576,skolemFOFtoCNF_Y0_5(iV822576)) ),
inference(subst,[],[refute_10_0:[bind(X,$fot(iV822576)),bind(Y,$fot(skolemFOFtoCNF_Y0_5(iV822576)))]]) ).
cnf(refute_10_2,plain,
( ~ cC112(X)
| ra_Px39(X,skolemFOFtoCNF_Y0_5(X)) ),
inference(canonicalize,[],[normalize_10_7]) ).
cnf(refute_10_3,plain,
( ~ cC112(iV822576)
| ra_Px39(iV822576,skolemFOFtoCNF_Y0_5(iV822576)) ),
inference(subst,[],[refute_10_2:[bind(X,$fot(iV822576))]]) ).
cnf(refute_10_4,plain,
( cC110(X)
| ra_Px37(X,skolemFOFtoCNF_Y_6(X)) ),
inference(canonicalize,[],[normalize_10_11]) ).
cnf(refute_10_5,plain,
( cC110(X_1670)
| ra_Px37(X_1670,skolemFOFtoCNF_Y_6(X_1670)) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(X_1670))]]) ).
cnf(refute_10_6,plain,
( ~ ra_Px37(X,Y0)
| cC110xcomp(X) ),
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_7,plain,
( ~ ra_Px37(X_1670,skolemFOFtoCNF_Y_6(X_1670))
| cC110xcomp(X_1670) ),
inference(subst,[],[refute_10_6:[bind(X,$fot(X_1670)),bind(Y0,$fot(skolemFOFtoCNF_Y_6(X_1670)))]]) ).
cnf(refute_10_8,plain,
( cC110(X_1670)
| cC110xcomp(X_1670) ),
inference(resolve,[$cnf( ra_Px37(X_1670,skolemFOFtoCNF_Y_6(X_1670)) )],[refute_10_5,refute_10_7]) ).
cnf(refute_10_9,plain,
( cC110(iV822576)
| cC110xcomp(iV822576) ),
inference(subst,[],[refute_10_8:[bind(X_1670,$fot(iV822576))]]) ).
cnf(refute_10_10,plain,
cC4(iV822576),
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_11,plain,
( ~ cC110xcomp(X)
| ~ cC4(X)
| cC112(X) ),
inference(canonicalize,[],[normalize_10_20]) ).
cnf(refute_10_12,plain,
( ~ cC110xcomp(iV822576)
| ~ cC4(iV822576)
| cC112(iV822576) ),
inference(subst,[],[refute_10_11:[bind(X,$fot(iV822576))]]) ).
cnf(refute_10_13,plain,
( ~ cC110xcomp(iV822576)
| cC112(iV822576) ),
inference(resolve,[$cnf( cC4(iV822576) )],[refute_10_10,refute_10_12]) ).
cnf(refute_10_14,plain,
( cC110(iV822576)
| cC112(iV822576) ),
inference(resolve,[$cnf( cC110xcomp(iV822576) )],[refute_10_9,refute_10_13]) ).
cnf(refute_10_15,plain,
~ cC110(iV822576),
inference(canonicalize,[],[normalize_10_31]) ).
cnf(refute_10_16,plain,
cC112(iV822576),
inference(resolve,[$cnf( cC110(iV822576) )],[refute_10_14,refute_10_15]) ).
cnf(refute_10_17,plain,
ra_Px39(iV822576,skolemFOFtoCNF_Y0_5(iV822576)),
inference(resolve,[$cnf( cC112(iV822576) )],[refute_10_16,refute_10_3]) ).
cnf(refute_10_18,plain,
~ cC112xcomp(iV822576),
inference(resolve,[$cnf( ra_Px39(iV822576,skolemFOFtoCNF_Y0_5(iV822576)) )],[refute_10_17,refute_10_1]) ).
cnf(refute_10_19,plain,
cC112xcomp(iV822576),
inference(canonicalize,[],[normalize_10_32]) ).
cnf(refute_10_20,plain,
$false,
inference(resolve,[$cnf( cC112xcomp(iV822576) )],[refute_10_19,refute_10_18]) ).
fof(negate_11_0,plain,
~ ( ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576) )
=> cC136(iV822576) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
cC134xcomp(iV822576),
inference(canonicalize,[],[axiom_160]) ).
fof(normalize_11_1,plain,
! [X] :
( ~ cC136(X)
<=> ( ~ cC116(X)
| ~ cC134xcomp(X) ) ),
inference(canonicalize,[],[axiom_42]) ).
fof(normalize_11_2,plain,
! [X] :
( ~ cC136(X)
<=> ( ~ cC116(X)
| ~ cC134xcomp(X) ) ),
inference(specialize,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
! [X] :
( ( ~ cC136(X)
| cC116(X) )
& ( ~ cC136(X)
| cC134xcomp(X) )
& ( ~ cC116(X)
| ~ cC134xcomp(X)
| cC136(X) ) ),
inference(clausify,[],[normalize_11_2]) ).
fof(normalize_11_4,plain,
! [X] :
( ~ cC116(X)
| ~ cC134xcomp(X)
| cC136(X) ),
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
( ~ cC136(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC80(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_6,plain,
cowlThing(iV822576),
inference(canonicalize,[],[axiom_166]) ).
fof(normalize_11_7,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_11_8,plain,
! [X] : ~ cowlNothing(X),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
! [X] : ~ cowlNothing(X),
inference(specialize,[],[normalize_11_8]) ).
fof(normalize_11_10,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_11,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_11_10]) ).
fof(normalize_11_12,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_11_13,plain,
! [X] :
( ~ xsd_integer(X)
<=> xsd_string(X) ),
inference(specialize,[],[normalize_11_12]) ).
fof(normalize_11_14,plain,
( ~ cC136(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cC80(iV822576)
& cC94(iV822576) ),
inference(simplify,[],[normalize_11_5,normalize_11_6,normalize_11_9,normalize_11_11,normalize_11_13]) ).
fof(normalize_11_15,plain,
cC116(iV822576),
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_16,plain,
~ cC136(iV822576),
inference(conjunct,[],[normalize_11_14]) ).
cnf(refute_11_0,plain,
cC134xcomp(iV822576),
inference(canonicalize,[],[normalize_11_0]) ).
cnf(refute_11_1,plain,
( ~ cC116(X)
| ~ cC134xcomp(X)
| cC136(X) ),
inference(canonicalize,[],[normalize_11_4]) ).
cnf(refute_11_2,plain,
( ~ cC116(iV822576)
| ~ cC134xcomp(iV822576)
| cC136(iV822576) ),
inference(subst,[],[refute_11_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_11_3,plain,
( ~ cC116(iV822576)
| cC136(iV822576) ),
inference(resolve,[$cnf( cC134xcomp(iV822576) )],[refute_11_0,refute_11_2]) ).
cnf(refute_11_4,plain,
cC116(iV822576),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_5,plain,
cC136(iV822576),
inference(resolve,[$cnf( cC116(iV822576) )],[refute_11_4,refute_11_3]) ).
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) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576) )
=> cC56(iV822576) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( ~ cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC136(iV822576)
& cC58(iV822576)
& cC80(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_166]) ).
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,
( ~ cC56(iV822576)
& cC110(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC136(iV822576)
& cC58(iV822576)
& cC80(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,
cC58(iV822576),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_11,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(canonicalize,[],[axiom_94]) ).
fof(normalize_12_12,plain,
! [X] :
( ~ cC58(X)
<=> ( ~ cC34(X)
| ~ cC56(X) ) ),
inference(specialize,[],[normalize_12_11]) ).
fof(normalize_12_13,plain,
! [X] :
( ( ~ cC58(X)
| cC34(X) )
& ( ~ cC58(X)
| cC56(X) )
& ( ~ cC34(X)
| ~ cC56(X)
| cC58(X) ) ),
inference(clausify,[],[normalize_12_12]) ).
fof(normalize_12_14,plain,
! [X] :
( ~ cC58(X)
| cC56(X) ),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
~ cC56(iV822576),
inference(conjunct,[],[normalize_12_9]) ).
cnf(refute_12_0,plain,
cC58(iV822576),
inference(canonicalize,[],[normalize_12_10]) ).
cnf(refute_12_1,plain,
( ~ cC58(X)
| cC56(X) ),
inference(canonicalize,[],[normalize_12_14]) ).
cnf(refute_12_2,plain,
( ~ cC58(iV822576)
| cC56(iV822576) ),
inference(subst,[],[refute_12_1:[bind(X,$fot(iV822576))]]) ).
cnf(refute_12_3,plain,
cC56(iV822576),
inference(resolve,[$cnf( cC58(iV822576) )],[refute_12_0,refute_12_2]) ).
cnf(refute_12_4,plain,
~ cC56(iV822576),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_5,plain,
$false,
inference(resolve,[$cnf( cC56(iV822576) )],[refute_12_3,refute_12_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 16:24:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.88/1.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.05
% 0.88/1.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.88/1.06
%------------------------------------------------------------------------------