TSTP Solution File: LCL680+1.005 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL680+1.005 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:32:21 EDT 2024
% Result : Theorem 6.26s 1.25s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 141
% Syntax : Number of formulae : 333 ( 7 unt; 0 def)
% Number of atoms : 3479 ( 0 equ)
% Maximal formula atoms : 344 ( 10 avg)
% Number of connectives : 6648 (3502 ~;2305 |; 821 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 114 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 135 ( 134 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 1778 (1646 !; 132 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16344,plain,
$false,
inference(avatar_sat_refutation,[],[f10088,f13815,f13836,f16343]) ).
fof(f16343,plain,
( ~ spl201_737
| ~ spl201_738 ),
inference(avatar_contradiction_clause,[],[f16342]) ).
fof(f16342,plain,
( $false
| ~ spl201_737
| ~ spl201_738 ),
inference(subsumption_resolution,[],[f16341,f13809]) ).
fof(f13809,plain,
( sP8(sK149(sK153))
| ~ spl201_737 ),
inference(avatar_component_clause,[],[f13808]) ).
fof(f13808,plain,
( spl201_737
<=> sP8(sK149(sK153)) ),
introduced(avatar_definition,[new_symbols(naming,[spl201_737])]) ).
fof(f16341,plain,
( ~ sP8(sK149(sK153))
| ~ spl201_738 ),
inference(resolution,[],[f16317,f693]) ).
fof(f693,plain,
! [X0] :
( sP7(sK150(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0] :
( ( sP7(sK150(X0))
& ~ p2(sK150(X0))
& r1(X0,sK150(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK150])],[f414,f415]) ).
fof(f415,plain,
! [X0] :
( ? [X1] :
( sP7(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP7(sK150(X0))
& ~ p2(sK150(X0))
& r1(X0,sK150(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f414,plain,
! [X0] :
( ? [X1] :
( sP7(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f413]) ).
fof(f413,plain,
! [X170] :
( ? [X171] :
( sP7(X171)
& ~ p2(X171)
& r1(X170,X171) )
| ~ sP8(X170) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X170] :
( ? [X171] :
( sP7(X171)
& ~ p2(X171)
& r1(X170,X171) )
| ~ sP8(X170) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16317,plain,
( ~ sP7(sK150(sK149(sK153)))
| ~ spl201_738 ),
inference(resolution,[],[f15936,f13814]) ).
fof(f13814,plain,
( sP65(sK150(sK149(sK153)))
| ~ spl201_738 ),
inference(avatar_component_clause,[],[f13812]) ).
fof(f13812,plain,
( spl201_738
<=> sP65(sK150(sK149(sK153))) ),
introduced(avatar_definition,[new_symbols(naming,[spl201_738])]) ).
fof(f15936,plain,
! [X0] :
( ~ sP65(X0)
| ~ sP7(X0) ),
inference(subsumption_resolution,[],[f7323,f15934]) ).
fof(f15934,plain,
! [X0] :
( ~ sP6(sK134(X0))
| ~ sP65(X0) ),
inference(resolution,[],[f15928,f8728]) ).
fof(f8728,plain,
! [X0] :
( sP62(sK134(X0))
| ~ sP65(X0) ),
inference(resolution,[],[f8727,f5074]) ).
fof(f5074,plain,
! [X0] :
( sP63(sK134(X0))
| ~ sP65(X0) ),
inference(resolution,[],[f5039,f563]) ).
fof(f563,plain,
! [X0] :
( sP64(sK134(X0))
| ~ sP65(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ( sP64(sK134(X0))
& ~ p2(sK134(X0))
& r1(X0,sK134(X0)) )
| ~ sP65(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK134])],[f268,f269]) ).
fof(f269,plain,
! [X0] :
( ? [X1] :
( sP64(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP64(sK134(X0))
& ~ p2(sK134(X0))
& r1(X0,sK134(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
! [X0] :
( ? [X1] :
( sP64(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP65(X0) ),
inference(rectify,[],[f267]) ).
fof(f267,plain,
! [X85] :
( ? [X86] :
( sP64(X86)
& ~ p2(X86)
& r1(X85,X86) )
| ~ sP65(X85) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X85] :
( ? [X86] :
( sP64(X86)
& ~ p2(X86)
& r1(X85,X86) )
| ~ sP65(X85) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f5039,plain,
! [X0] :
( ~ sP64(X0)
| sP63(X0) ),
inference(resolution,[],[f565,f743]) ).
fof(f743,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f565,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP63(X1)
| ~ sP64(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( sP63(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP64(X0) ),
inference(rectify,[],[f271]) ).
fof(f271,plain,
! [X86] :
( ! [X87] :
( ( sP63(X87)
& ~ p2(X87) )
| ~ r1(X86,X87) )
| ~ sP64(X86) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X86] :
( ! [X87] :
( ( sP63(X87)
& ~ p2(X87) )
| ~ r1(X86,X87) )
| ~ sP64(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f8727,plain,
! [X0] :
( ~ sP63(X0)
| sP62(X0) ),
inference(resolution,[],[f8692,f8656]) ).
fof(f8656,plain,
! [X0] :
( sP174(X0)
| sP62(X0) ),
inference(resolution,[],[f785,f743]) ).
fof(f785,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| sP62(X2)
| sP174(X1) ),
inference(cnf_transformation,[],[f785_D]) ).
fof(f785_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| sP62(X2) )
<=> ~ sP174(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP174])]) ).
fof(f8692,plain,
! [X0] :
( ~ sP174(X0)
| ~ sP63(X0) ),
inference(resolution,[],[f786,f743]) ).
fof(f786,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP63(X0)
| ~ sP174(X1) ),
inference(general_splitting,[],[f567,f785_D]) ).
fof(f567,plain,
! [X2,X0,X1] :
( sP62(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP63(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sP62(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP63(X0) ),
inference(rectify,[],[f273]) ).
fof(f273,plain,
! [X87] :
( ! [X88] :
( ( ! [X89] :
( sP62(X89)
| ~ r1(X88,X89) )
& ~ p2(X88) )
| ~ r1(X87,X88) )
| ~ sP63(X87) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X87] :
( ! [X88] :
( ( ! [X89] :
( sP62(X89)
| ~ r1(X88,X89) )
& ~ p2(X88) )
| ~ r1(X87,X88) )
| ~ sP63(X87) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f15928,plain,
! [X0] :
( ~ sP62(X0)
| ~ sP6(X0) ),
inference(subsumption_resolution,[],[f10225,f15926]) ).
fof(f15926,plain,
! [X0] :
( ~ sP62(X0)
| sP198(sK135(X0)) ),
inference(resolution,[],[f15923,f10433]) ).
fof(f10433,plain,
! [X0] :
( ~ sP59(X0)
| sP198(X0) ),
inference(subsumption_resolution,[],[f10190,f10432]) ).
fof(f10432,plain,
! [X0] :
( ~ sP5(sK136(X0))
| ~ sP59(X0) ),
inference(resolution,[],[f10415,f5362]) ).
fof(f5362,plain,
! [X0] :
( sP56(sK136(X0))
| ~ sP59(X0) ),
inference(resolution,[],[f5327,f5290]) ).
fof(f5290,plain,
! [X0] :
( sP57(sK136(X0))
| ~ sP59(X0) ),
inference(resolution,[],[f5255,f577]) ).
fof(f577,plain,
! [X0] :
( sP58(sK136(X0))
| ~ sP59(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( sP58(sK136(X0))
& ~ p2(sK136(X0))
& r1(X0,sK136(X0)) )
| ~ sP59(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK136])],[f284,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] :
( sP58(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP58(sK136(X0))
& ~ p2(sK136(X0))
& r1(X0,sK136(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ? [X1] :
( sP58(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP59(X0) ),
inference(rectify,[],[f283]) ).
fof(f283,plain,
! [X94] :
( ? [X95] :
( sP58(X95)
& ~ p2(X95)
& r1(X94,X95) )
| ~ sP59(X94) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X94] :
( ? [X95] :
( sP58(X95)
& ~ p2(X95)
& r1(X94,X95) )
| ~ sP59(X94) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f5255,plain,
! [X0] :
( ~ sP58(X0)
| sP57(X0) ),
inference(resolution,[],[f579,f743]) ).
fof(f579,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP57(X1)
| ~ sP58(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ( sP57(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP58(X0) ),
inference(rectify,[],[f287]) ).
fof(f287,plain,
! [X95] :
( ! [X96] :
( ( sP57(X96)
& ~ p2(X96) )
| ~ r1(X95,X96) )
| ~ sP58(X95) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X95] :
( ! [X96] :
( ( sP57(X96)
& ~ p2(X96) )
| ~ r1(X95,X96) )
| ~ sP58(X95) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f5327,plain,
! [X0] :
( ~ sP57(X0)
| sP56(X0) ),
inference(resolution,[],[f581,f743]) ).
fof(f581,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP56(X1)
| ~ sP57(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( ( sP56(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP57(X0) ),
inference(rectify,[],[f289]) ).
fof(f289,plain,
! [X96] :
( ! [X97] :
( ( sP56(X97)
& ~ p2(X97) )
| ~ r1(X96,X97) )
| ~ sP57(X96) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X96] :
( ! [X97] :
( ( sP56(X97)
& ~ p2(X97) )
| ~ r1(X96,X97) )
| ~ sP57(X96) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f10415,plain,
! [X0] :
( ~ sP56(X0)
| ~ sP5(X0) ),
inference(subsumption_resolution,[],[f8868,f10414]) ).
fof(f10414,plain,
! [X0] :
( sP177(sK151(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f10395,f10317]) ).
fof(f10317,plain,
! [X0] :
( sP2(sK151(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f10316,f7450]) ).
fof(f7450,plain,
! [X0] :
( sP3(sK151(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f7415,f700]) ).
fof(f700,plain,
! [X0] :
( sP4(sK151(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0] :
( ( sP4(sK151(X0))
& ~ p2(sK151(X0))
& r1(X0,sK151(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK151])],[f422,f423]) ).
fof(f423,plain,
! [X0] :
( ? [X1] :
( sP4(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP4(sK151(X0))
& ~ p2(sK151(X0))
& r1(X0,sK151(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f422,plain,
! [X0] :
( ? [X1] :
( sP4(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f421]) ).
fof(f421,plain,
! [X174] :
( ? [X175] :
( sP4(X175)
& ~ p2(X175)
& r1(X174,X175) )
| ~ sP5(X174) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X174] :
( ? [X175] :
( sP4(X175)
& ~ p2(X175)
& r1(X174,X175) )
| ~ sP5(X174) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f7415,plain,
! [X0] :
( ~ sP4(X0)
| sP3(X0) ),
inference(resolution,[],[f702,f743]) ).
fof(f702,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP3(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] :
( ! [X1] :
( ( sP3(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f425]) ).
fof(f425,plain,
! [X175] :
( ! [X176] :
( ( sP3(X176)
& ~ p2(X176) )
| ~ r1(X175,X176) )
| ~ sP4(X175) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X175] :
( ! [X176] :
( ( sP3(X176)
& ~ p2(X176) )
| ~ r1(X175,X176) )
| ~ sP4(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f10316,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(resolution,[],[f10281,f10245]) ).
fof(f10245,plain,
! [X0] :
( sP199(X0)
| sP2(X0) ),
inference(resolution,[],[f835,f743]) ).
fof(f835,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| sP2(X2)
| sP199(X1) ),
inference(cnf_transformation,[],[f835_D]) ).
fof(f835_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| sP2(X2) )
<=> ~ sP199(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP199])]) ).
fof(f10281,plain,
! [X0] :
( ~ sP199(X0)
| ~ sP3(X0) ),
inference(resolution,[],[f836,f743]) ).
fof(f836,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP3(X0)
| ~ sP199(X1) ),
inference(general_splitting,[],[f704,f835_D]) ).
fof(f704,plain,
! [X2,X0,X1] :
( sP2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sP2(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f427]) ).
fof(f427,plain,
! [X176] :
( ! [X177] :
( ( ! [X178] :
( sP2(X178)
| ~ r1(X177,X178) )
& ~ p2(X177) )
| ~ r1(X176,X177) )
| ~ sP3(X176) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X176] :
( ! [X177] :
( ( ! [X178] :
( sP2(X178)
| ~ r1(X177,X178) )
& ~ p2(X177) )
| ~ r1(X176,X177) )
| ~ sP3(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10395,plain,
! [X0] :
( ~ sP2(X0)
| sP177(X0) ),
inference(subsumption_resolution,[],[f8834,f10389]) ).
fof(f10389,plain,
! [X0] :
( p1(sK152(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f10388,f7558]) ).
fof(f7558,plain,
! [X0] :
( sP0(sK152(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f7523,f707]) ).
fof(f707,plain,
! [X0] :
( sP1(sK152(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0] :
( ( sP1(sK152(X0))
& ~ p2(sK152(X0))
& r1(X0,sK152(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK152])],[f430,f431]) ).
fof(f431,plain,
! [X0] :
( ? [X1] :
( sP1(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP1(sK152(X0))
& ~ p2(sK152(X0))
& r1(X0,sK152(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f430,plain,
! [X0] :
( ? [X1] :
( sP1(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f429]) ).
fof(f429,plain,
! [X178] :
( ? [X179] :
( sP1(X179)
& ~ p2(X179)
& r1(X178,X179) )
| ~ sP2(X178) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X178] :
( ? [X179] :
( sP1(X179)
& ~ p2(X179)
& r1(X178,X179) )
| ~ sP2(X178) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f7523,plain,
! [X0] :
( ~ sP1(X0)
| sP0(X0) ),
inference(resolution,[],[f709,f743]) ).
fof(f709,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP0(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0] :
( ! [X1] :
( ( sP0(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f433]) ).
fof(f433,plain,
! [X179] :
( ! [X180] :
( ( sP0(X180)
& ~ p2(X180) )
| ~ r1(X179,X180) )
| ~ sP1(X179) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X179] :
( ! [X180] :
( ( sP0(X180)
& ~ p2(X180) )
| ~ r1(X179,X180) )
| ~ sP1(X179) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10388,plain,
! [X0] :
( ~ sP0(X0)
| p1(X0) ),
inference(resolution,[],[f10353,f10318]) ).
fof(f10318,plain,
! [X0] :
( sP200(X0)
| p1(X0) ),
inference(resolution,[],[f837,f743]) ).
fof(f837,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| p1(X2)
| sP200(X1) ),
inference(cnf_transformation,[],[f837_D]) ).
fof(f837_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
<=> ~ sP200(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP200])]) ).
fof(f10353,plain,
! [X0] :
( ~ sP200(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f838,f743]) ).
fof(f838,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| ~ sP200(X1) ),
inference(general_splitting,[],[f711,f837_D]) ).
fof(f711,plain,
! [X2,X0,X1] :
( p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f436,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f435]) ).
fof(f435,plain,
! [X180] :
( ! [X181] :
( ( ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
& ~ p2(X181) )
| ~ r1(X180,X181) )
| ~ sP0(X180) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X180] :
( ! [X181] :
( ( ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
& ~ p2(X181) )
| ~ r1(X180,X181) )
| ~ sP0(X180) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8834,plain,
! [X0] :
( ~ p1(sK152(X0))
| sP177(X0)
| ~ sP2(X0) ),
inference(resolution,[],[f791,f705]) ).
fof(f705,plain,
! [X0] :
( r1(X0,sK152(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f432]) ).
fof(f791,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| ~ p1(X2)
| sP177(X1) ),
inference(cnf_transformation,[],[f791_D]) ).
fof(f791_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) )
<=> ~ sP177(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP177])]) ).
fof(f8868,plain,
! [X0] :
( ~ sP56(X0)
| ~ sP177(sK151(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f792,f698]) ).
fof(f698,plain,
! [X0] :
( r1(X0,sK151(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f424]) ).
fof(f792,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP56(X0)
| ~ sP177(X1) ),
inference(general_splitting,[],[f583,f791_D]) ).
fof(f583,plain,
! [X2,X0,X1] :
( ~ p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP56(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP56(X0) ),
inference(rectify,[],[f291]) ).
fof(f291,plain,
! [X97] :
( ! [X98] :
( ( ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
& ~ p2(X98) )
| ~ r1(X97,X98) )
| ~ sP56(X97) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X97] :
( ! [X98] :
( ( ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
& ~ p2(X98) )
| ~ r1(X97,X98) )
| ~ sP56(X97) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f10190,plain,
! [X0] :
( sP5(sK136(X0))
| sP198(X0)
| ~ sP59(X0) ),
inference(resolution,[],[f833,f575]) ).
fof(f575,plain,
! [X0] :
( r1(X0,sK136(X0))
| ~ sP59(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f833,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| sP5(X2)
| sP198(X1) ),
inference(cnf_transformation,[],[f833_D]) ).
fof(f833_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| sP5(X2) )
<=> ~ sP198(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP198])]) ).
fof(f15923,plain,
! [X0] :
( sP59(sK135(X0))
| ~ sP62(X0) ),
inference(resolution,[],[f15921,f5182]) ).
fof(f5182,plain,
! [X0] :
( sP60(sK135(X0))
| ~ sP62(X0) ),
inference(resolution,[],[f5147,f570]) ).
fof(f570,plain,
! [X0] :
( sP61(sK135(X0))
| ~ sP62(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( sP61(sK135(X0))
& ~ p2(sK135(X0))
& r1(X0,sK135(X0)) )
| ~ sP62(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK135])],[f276,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] :
( sP61(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP61(sK135(X0))
& ~ p2(sK135(X0))
& r1(X0,sK135(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
! [X0] :
( ? [X1] :
( sP61(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP62(X0) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X89] :
( ? [X90] :
( sP61(X90)
& ~ p2(X90)
& r1(X89,X90) )
| ~ sP62(X89) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X89] :
( ? [X90] :
( sP61(X90)
& ~ p2(X90)
& r1(X89,X90) )
| ~ sP62(X89) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f5147,plain,
! [X0] :
( ~ sP61(X0)
| sP60(X0) ),
inference(resolution,[],[f572,f743]) ).
fof(f572,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP60(X1)
| ~ sP61(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ( sP60(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP61(X0) ),
inference(rectify,[],[f279]) ).
fof(f279,plain,
! [X90] :
( ! [X91] :
( ( sP60(X91)
& ~ p2(X91) )
| ~ r1(X90,X91) )
| ~ sP61(X90) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X90] :
( ! [X91] :
( ( sP60(X91)
& ~ p2(X91) )
| ~ r1(X90,X91) )
| ~ sP61(X90) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f15921,plain,
! [X0] :
( ~ sP60(X0)
| sP59(X0) ),
inference(subsumption_resolution,[],[f15920,f5183]) ).
fof(f5183,plain,
! [X0] :
( ~ sP60(X0)
| ~ p2(X0) ),
inference(resolution,[],[f573,f743]) ).
fof(f573,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ sP60(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( p2(X2)
| ! [X3] :
( sP59(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP60(X0) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X91] :
( ! [X92] :
( ( ! [X93] :
( p2(X93)
| ! [X94] :
( sP59(X94)
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
& ~ p2(X92) )
| ~ r1(X91,X92) )
| ~ sP60(X91) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X91] :
( ! [X92] :
( ( ! [X93] :
( p2(X93)
| ! [X94] :
( sP59(X94)
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
& ~ p2(X92) )
| ~ r1(X91,X92) )
| ~ sP60(X91) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f15920,plain,
! [X0] :
( p2(X0)
| sP59(X0)
| ~ sP60(X0) ),
inference(resolution,[],[f15824,f8765]) ).
fof(f8765,plain,
! [X0] :
( ~ sP176(X0)
| ~ sP60(X0) ),
inference(resolution,[],[f790,f743]) ).
fof(f790,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP60(X0)
| ~ sP176(X1) ),
inference(general_splitting,[],[f788,f789_D]) ).
fof(f789,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| p2(X2)
| ~ sP175(X2)
| sP176(X1) ),
inference(cnf_transformation,[],[f789_D]) ).
fof(f789_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ sP175(X2) )
<=> ~ sP176(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP176])]) ).
fof(f788,plain,
! [X2,X0,X1] :
( p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP60(X0)
| ~ sP175(X2) ),
inference(general_splitting,[],[f574,f787_D]) ).
fof(f787,plain,
! [X2,X3] :
( ~ r1(X2,X3)
| sP59(X3)
| sP175(X2) ),
inference(cnf_transformation,[],[f787_D]) ).
fof(f787_D,plain,
! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| sP59(X3) )
<=> ~ sP175(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP175])]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( p2(X2)
| sP59(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP60(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f15824,plain,
! [X0] :
( sP176(X0)
| p2(X0)
| sP59(X0) ),
inference(resolution,[],[f11484,f8729]) ).
fof(f8729,plain,
! [X0] :
( sP175(X0)
| sP59(X0) ),
inference(resolution,[],[f787,f743]) ).
fof(f11484,plain,
! [X0] :
( ~ sP175(X0)
| p2(X0)
| sP176(X0) ),
inference(resolution,[],[f789,f743]) ).
fof(f10225,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP198(sK135(X0))
| ~ sP62(X0) ),
inference(resolution,[],[f834,f568]) ).
fof(f568,plain,
! [X0] :
( r1(X0,sK135(X0))
| ~ sP62(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f834,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP6(X0)
| ~ sP198(X1) ),
inference(general_splitting,[],[f697,f833_D]) ).
fof(f697,plain,
! [X2,X0,X1] :
( sP5(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sP5(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f419]) ).
fof(f419,plain,
! [X172] :
( ! [X173] :
( ( ! [X174] :
( sP5(X174)
| ~ r1(X173,X174) )
& ~ p2(X173) )
| ~ r1(X172,X173) )
| ~ sP6(X172) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X172] :
( ! [X173] :
( ( ! [X174] :
( sP5(X174)
| ~ r1(X173,X174) )
& ~ p2(X173) )
| ~ r1(X172,X173) )
| ~ sP6(X172) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f7323,plain,
! [X0] :
( sP6(sK134(X0))
| ~ sP7(X0)
| ~ sP65(X0) ),
inference(resolution,[],[f695,f561]) ).
fof(f561,plain,
! [X0] :
( r1(X0,sK134(X0))
| ~ sP65(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f695,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP6(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0] :
( ! [X1] :
( ( sP6(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f417]) ).
fof(f417,plain,
! [X171] :
( ! [X172] :
( ( sP6(X172)
& ~ p2(X172) )
| ~ r1(X171,X172) )
| ~ sP7(X171) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X171] :
( ! [X172] :
( ( sP6(X172)
& ~ p2(X172) )
| ~ r1(X171,X172) )
| ~ sP7(X171) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f13836,plain,
( ~ spl201_268
| spl201_737 ),
inference(avatar_contradiction_clause,[],[f13835]) ).
fof(f13835,plain,
( $false
| ~ spl201_268
| spl201_737 ),
inference(subsumption_resolution,[],[f13834,f2564]) ).
fof(f2564,plain,
( sP11(sK153)
| ~ spl201_268 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2563,plain,
( spl201_268
<=> sP11(sK153) ),
introduced(avatar_definition,[new_symbols(naming,[spl201_268])]) ).
fof(f13834,plain,
( ~ sP11(sK153)
| spl201_737 ),
inference(resolution,[],[f13810,f10171]) ).
fof(f10171,plain,
! [X0] :
( sP8(sK149(X0))
| ~ sP11(X0) ),
inference(resolution,[],[f10170,f7234]) ).
fof(f7234,plain,
! [X0] :
( sP9(sK149(X0))
| ~ sP11(X0) ),
inference(resolution,[],[f7199,f686]) ).
fof(f686,plain,
! [X0] :
( sP10(sK149(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f408]) ).
fof(f408,plain,
! [X0] :
( ( sP10(sK149(X0))
& ~ p2(sK149(X0))
& r1(X0,sK149(X0)) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK149])],[f406,f407]) ).
fof(f407,plain,
! [X0] :
( ? [X1] :
( sP10(X1)
& ~ p2(X1)
& r1(X0,X1) )
=> ( sP10(sK149(X0))
& ~ p2(sK149(X0))
& r1(X0,sK149(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f406,plain,
! [X0] :
( ? [X1] :
( sP10(X1)
& ~ p2(X1)
& r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f405]) ).
fof(f405,plain,
! [X166] :
( ? [X167] :
( sP10(X167)
& ~ p2(X167)
& r1(X166,X167) )
| ~ sP11(X166) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X166] :
( ? [X167] :
( sP10(X167)
& ~ p2(X167)
& r1(X166,X167) )
| ~ sP11(X166) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f7199,plain,
! [X0] :
( ~ sP10(X0)
| sP9(X0) ),
inference(resolution,[],[f688,f743]) ).
fof(f688,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP9(X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0] :
( ! [X1] :
( ( sP9(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f409]) ).
fof(f409,plain,
! [X167] :
( ! [X168] :
( ( sP9(X168)
& ~ p2(X168) )
| ~ r1(X167,X168) )
| ~ sP10(X167) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X167] :
( ! [X168] :
( ( sP9(X168)
& ~ p2(X168) )
| ~ r1(X167,X168) )
| ~ sP10(X167) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f10170,plain,
! [X0] :
( ~ sP9(X0)
| sP8(X0) ),
inference(resolution,[],[f10135,f10097]) ).
fof(f10097,plain,
! [X0] :
( sP197(X0)
| sP8(X0) ),
inference(resolution,[],[f831,f743]) ).
fof(f831,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| sP8(X2)
| sP197(X1) ),
inference(cnf_transformation,[],[f831_D]) ).
fof(f831_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| sP8(X2) )
<=> ~ sP197(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP197])]) ).
fof(f10135,plain,
! [X0] :
( ~ sP197(X0)
| ~ sP9(X0) ),
inference(resolution,[],[f832,f743]) ).
fof(f832,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP9(X0)
| ~ sP197(X1) ),
inference(general_splitting,[],[f690,f831_D]) ).
fof(f690,plain,
! [X2,X0,X1] :
( sP8(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sP8(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f411]) ).
fof(f411,plain,
! [X168] :
( ! [X169] :
( ( ! [X170] :
( sP8(X170)
| ~ r1(X169,X170) )
& ~ p2(X169) )
| ~ r1(X168,X169) )
| ~ sP9(X168) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X168] :
( ! [X169] :
( ( ! [X170] :
( sP8(X170)
| ~ r1(X169,X170) )
& ~ p2(X169) )
| ~ r1(X168,X169) )
| ~ sP9(X168) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f13810,plain,
( ~ sP8(sK149(sK153))
| spl201_737 ),
inference(avatar_component_clause,[],[f13808]) ).
fof(f13815,plain,
( ~ spl201_737
| spl201_738
| ~ spl201_268 ),
inference(avatar_split_clause,[],[f13629,f2563,f13812,f13808]) ).
fof(f13629,plain,
( sP65(sK150(sK149(sK153)))
| ~ sP8(sK149(sK153))
| ~ spl201_268 ),
inference(resolution,[],[f10499,f691]) ).
fof(f691,plain,
! [X0] :
( r1(X0,sK150(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f416]) ).
fof(f10499,plain,
( ! [X0] :
( ~ r1(sK149(sK153),X0)
| sP65(X0) )
| ~ spl201_268 ),
inference(subsumption_resolution,[],[f10486,f2564]) ).
fof(f10486,plain,
! [X0] :
( ~ r1(sK149(sK153),X0)
| sP65(X0)
| ~ sP11(sK153) ),
inference(resolution,[],[f726,f684]) ).
fof(f684,plain,
! [X0] :
( r1(X0,sK149(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f408]) ).
fof(f726,plain,
! [X11,X12] :
( ~ r1(sK153,X11)
| ~ r1(X11,X12)
| sP65(X12) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
( ~ p1(sK153)
& ( p1(sK153)
| ! [X1] :
( sP118(X1)
| ~ r1(sK153,X1) ) )
& ( p1(sK153)
| ! [X2] :
( sP114(X2)
| ~ r1(sK153,X2) ) )
& ( p2(sK153)
| ! [X3] :
( sP110(X3)
| ~ r1(sK153,X3) ) )
& ! [X4] :
( sP106(X4)
| ~ r1(sK153,X4) )
& ~ p2(sK153)
& ! [X5] :
( sP99(X5)
| ~ r1(sK153,X5) )
& ~ p2(sK153)
& ! [X6] :
( sP92(X6)
| ~ r1(sK153,X6) )
& ~ p2(sK153)
& ! [X7] :
( ( ! [X8] :
( sP85(X8)
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ~ r1(sK153,X7) )
& ~ p2(sK153)
& ! [X9] :
( ( ! [X10] :
( sP75(X10)
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(sK153,X9) )
& ~ p2(sK153)
& ! [X11] :
( ( ! [X12] :
( sP65(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(sK153,X11) )
& ~ p2(sK153)
& ! [X13] :
( ( sP55(X13)
& ~ p2(X13) )
| ~ r1(sK153,X13) )
& ~ p2(sK153)
& ! [X14] :
( ( sP41(X14)
& ~ p2(X14) )
| ~ r1(sK153,X14) )
& ~ p2(sK153)
& ! [X15] :
( ( sP27(X15)
& ~ p2(X15) )
| ~ r1(sK153,X15) )
& ~ p2(sK153)
& ! [X16] :
( ( sP13(X16)
& ~ p2(X16) )
| ~ r1(sK153,X16) )
& ~ p2(sK153) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK153])],[f437,f438]) ).
fof(f438,plain,
( ? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( sP118(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( sP114(X2)
| ~ r1(X0,X2) ) )
& ( p2(X0)
| ! [X3] :
( sP110(X3)
| ~ r1(X0,X3) ) )
& ! [X4] :
( sP106(X4)
| ~ r1(X0,X4) )
& ~ p2(X0)
& ! [X5] :
( sP99(X5)
| ~ r1(X0,X5) )
& ~ p2(X0)
& ! [X6] :
( sP92(X6)
| ~ r1(X0,X6) )
& ~ p2(X0)
& ! [X7] :
( ( ! [X8] :
( sP85(X8)
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ~ r1(X0,X7) )
& ~ p2(X0)
& ! [X9] :
( ( ! [X10] :
( sP75(X10)
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(X0,X9) )
& ~ p2(X0)
& ! [X11] :
( ( ! [X12] :
( sP65(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(X0,X11) )
& ~ p2(X0)
& ! [X13] :
( ( sP55(X13)
& ~ p2(X13) )
| ~ r1(X0,X13) )
& ~ p2(X0)
& ! [X14] :
( ( sP41(X14)
& ~ p2(X14) )
| ~ r1(X0,X14) )
& ~ p2(X0)
& ! [X15] :
( ( sP27(X15)
& ~ p2(X15) )
| ~ r1(X0,X15) )
& ~ p2(X0)
& ! [X16] :
( ( sP13(X16)
& ~ p2(X16) )
| ~ r1(X0,X16) )
& ~ p2(X0) )
=> ( ~ p1(sK153)
& ( p1(sK153)
| ! [X1] :
( sP118(X1)
| ~ r1(sK153,X1) ) )
& ( p1(sK153)
| ! [X2] :
( sP114(X2)
| ~ r1(sK153,X2) ) )
& ( p2(sK153)
| ! [X3] :
( sP110(X3)
| ~ r1(sK153,X3) ) )
& ! [X4] :
( sP106(X4)
| ~ r1(sK153,X4) )
& ~ p2(sK153)
& ! [X5] :
( sP99(X5)
| ~ r1(sK153,X5) )
& ~ p2(sK153)
& ! [X6] :
( sP92(X6)
| ~ r1(sK153,X6) )
& ~ p2(sK153)
& ! [X7] :
( ( ! [X8] :
( sP85(X8)
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ~ r1(sK153,X7) )
& ~ p2(sK153)
& ! [X9] :
( ( ! [X10] :
( sP75(X10)
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(sK153,X9) )
& ~ p2(sK153)
& ! [X11] :
( ( ! [X12] :
( sP65(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(sK153,X11) )
& ~ p2(sK153)
& ! [X13] :
( ( sP55(X13)
& ~ p2(X13) )
| ~ r1(sK153,X13) )
& ~ p2(sK153)
& ! [X14] :
( ( sP41(X14)
& ~ p2(X14) )
| ~ r1(sK153,X14) )
& ~ p2(sK153)
& ! [X15] :
( ( sP27(X15)
& ~ p2(X15) )
| ~ r1(sK153,X15) )
& ~ p2(sK153)
& ! [X16] :
( ( sP13(X16)
& ~ p2(X16) )
| ~ r1(sK153,X16) )
& ~ p2(sK153) ) ),
introduced(choice_axiom,[]) ).
fof(f437,plain,
? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( sP118(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( sP114(X2)
| ~ r1(X0,X2) ) )
& ( p2(X0)
| ! [X3] :
( sP110(X3)
| ~ r1(X0,X3) ) )
& ! [X4] :
( sP106(X4)
| ~ r1(X0,X4) )
& ~ p2(X0)
& ! [X5] :
( sP99(X5)
| ~ r1(X0,X5) )
& ~ p2(X0)
& ! [X6] :
( sP92(X6)
| ~ r1(X0,X6) )
& ~ p2(X0)
& ! [X7] :
( ( ! [X8] :
( sP85(X8)
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ~ r1(X0,X7) )
& ~ p2(X0)
& ! [X9] :
( ( ! [X10] :
( sP75(X10)
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(X0,X9) )
& ~ p2(X0)
& ! [X11] :
( ( ! [X12] :
( sP65(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(X0,X11) )
& ~ p2(X0)
& ! [X13] :
( ( sP55(X13)
& ~ p2(X13) )
| ~ r1(X0,X13) )
& ~ p2(X0)
& ! [X14] :
( ( sP41(X14)
& ~ p2(X14) )
| ~ r1(X0,X14) )
& ~ p2(X0)
& ! [X15] :
( ( sP27(X15)
& ~ p2(X15) )
| ~ r1(X0,X15) )
& ~ p2(X0)
& ! [X16] :
( ( sP13(X16)
& ~ p2(X16) )
| ~ r1(X0,X16) )
& ~ p2(X0) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( sP118(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X7] :
( sP114(X7)
| ~ r1(X0,X7) ) )
& ( p2(X0)
| ! [X13] :
( sP110(X13)
| ~ r1(X0,X13) ) )
& ! [X19] :
( sP106(X19)
| ~ r1(X0,X19) )
& ~ p2(X0)
& ! [X30] :
( sP99(X30)
| ~ r1(X0,X30) )
& ~ p2(X0)
& ! [X41] :
( sP92(X41)
| ~ r1(X0,X41) )
& ~ p2(X0)
& ! [X52] :
( ( ! [X53] :
( sP85(X53)
| ~ r1(X52,X53) )
& ~ p2(X52) )
| ~ r1(X0,X52) )
& ~ p2(X0)
& ! [X68] :
( ( ! [X69] :
( sP75(X69)
| ~ r1(X68,X69) )
& ~ p2(X68) )
| ~ r1(X0,X68) )
& ~ p2(X0)
& ! [X84] :
( ( ! [X85] :
( sP65(X85)
| ~ r1(X84,X85) )
& ~ p2(X84) )
| ~ r1(X0,X84) )
& ~ p2(X0)
& ! [X100] :
( ( sP55(X100)
& ~ p2(X100) )
| ~ r1(X0,X100) )
& ~ p2(X0)
& ! [X121] :
( ( sP41(X121)
& ~ p2(X121) )
| ~ r1(X0,X121) )
& ~ p2(X0)
& ! [X142] :
( ( sP27(X142)
& ~ p2(X142) )
| ~ r1(X0,X142) )
& ~ p2(X0)
& ! [X163] :
( ( sP13(X163)
& ~ p2(X163) )
| ~ r1(X0,X163) )
& ~ p2(X0) ),
inference(definition_folding,[],[f8,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f23,plain,
! [X164] :
( ! [X165] :
( ( ! [X166] :
( sP11(X166)
| ~ r1(X165,X166) )
& ~ p2(X165) )
| ~ r1(X164,X165) )
| ~ sP12(X164) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
! [X163] :
( ! [X164] :
( ( sP12(X164)
& ~ p2(X164) )
| ~ r1(X163,X164) )
| ~ sP13(X163) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X160] :
( ! [X161] :
( ( ! [X162] :
( ~ p1(X162)
| ~ r1(X161,X162) )
& ~ p2(X161) )
| ~ r1(X160,X161) )
| ~ sP14(X160) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f26,plain,
! [X159] :
( ! [X160] :
( ( sP14(X160)
& ~ p2(X160) )
| ~ r1(X159,X160) )
| ~ sP15(X159) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
! [X158] :
( ! [X159] :
( ( sP15(X159)
& ~ p2(X159) )
| ~ r1(X158,X159) )
| ~ sP16(X158) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f28,plain,
! [X157] :
( ? [X158] :
( sP16(X158)
& ~ p2(X158)
& r1(X157,X158) )
| ~ sP17(X157) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
! [X154] :
( ! [X155] :
( ( ! [X156] :
( p2(X156)
| ! [X157] :
( sP17(X157)
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
& ~ p2(X155) )
| ~ r1(X154,X155) )
| ~ sP18(X154) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
! [X153] :
( ! [X154] :
( ( sP18(X154)
& ~ p2(X154) )
| ~ r1(X153,X154) )
| ~ sP19(X153) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f31,plain,
! [X152] :
( ? [X153] :
( sP19(X153)
& ~ p2(X153)
& r1(X152,X153) )
| ~ sP20(X152) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
! [X150] :
( ! [X151] :
( ( ! [X152] :
( sP20(X152)
| ~ r1(X151,X152) )
& ~ p2(X151) )
| ~ r1(X150,X151) )
| ~ sP21(X150) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
! [X149] :
( ! [X150] :
( ( sP21(X150)
& ~ p2(X150) )
| ~ r1(X149,X150) )
| ~ sP22(X149) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
! [X148] :
( ? [X149] :
( sP22(X149)
& ~ p2(X149)
& r1(X148,X149) )
| ~ sP23(X148) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
! [X146] :
( ! [X147] :
( ( ! [X148] :
( sP23(X148)
| ~ r1(X147,X148) )
& ~ p2(X147) )
| ~ r1(X146,X147) )
| ~ sP24(X146) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
! [X145] :
( ! [X146] :
( ( sP24(X146)
& ~ p2(X146) )
| ~ r1(X145,X146) )
| ~ sP25(X145) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f37,plain,
! [X144] :
( ? [X145] :
( sP25(X145)
& ~ p2(X145)
& r1(X144,X145) )
| ~ sP26(X144) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f38,plain,
! [X142] :
( ! [X143] :
( ( ! [X144] :
( sP26(X144)
| ~ r1(X143,X144) )
& ~ p2(X143) )
| ~ r1(X142,X143) )
| ~ sP27(X142) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
! [X139] :
( ! [X140] :
( ( ! [X141] :
( ~ p1(X141)
| ~ r1(X140,X141) )
& ~ p2(X140) )
| ~ r1(X139,X140) )
| ~ sP28(X139) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f40,plain,
! [X138] :
( ! [X139] :
( ( sP28(X139)
& ~ p2(X139) )
| ~ r1(X138,X139) )
| ~ sP29(X138) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f41,plain,
! [X137] :
( ! [X138] :
( ( sP29(X138)
& ~ p2(X138) )
| ~ r1(X137,X138) )
| ~ sP30(X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f42,plain,
! [X136] :
( ? [X137] :
( sP30(X137)
& ~ p2(X137)
& r1(X136,X137) )
| ~ sP31(X136) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f43,plain,
! [X133] :
( ! [X134] :
( ( ! [X135] :
( p1(X135)
| ! [X136] :
( sP31(X136)
| ~ r1(X135,X136) )
| ~ r1(X134,X135) )
& ~ p2(X134) )
| ~ r1(X133,X134) )
| ~ sP32(X133) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f44,plain,
! [X132] :
( ! [X133] :
( ( sP32(X133)
& ~ p2(X133) )
| ~ r1(X132,X133) )
| ~ sP33(X132) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f45,plain,
! [X131] :
( ? [X132] :
( sP33(X132)
& ~ p2(X132)
& r1(X131,X132) )
| ~ sP34(X131) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f46,plain,
! [X129] :
( ! [X130] :
( ( ! [X131] :
( sP34(X131)
| ~ r1(X130,X131) )
& ~ p2(X130) )
| ~ r1(X129,X130) )
| ~ sP35(X129) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f47,plain,
! [X128] :
( ! [X129] :
( ( sP35(X129)
& ~ p2(X129) )
| ~ r1(X128,X129) )
| ~ sP36(X128) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f48,plain,
! [X127] :
( ? [X128] :
( sP36(X128)
& ~ p2(X128)
& r1(X127,X128) )
| ~ sP37(X127) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f49,plain,
! [X125] :
( ! [X126] :
( ( ! [X127] :
( sP37(X127)
| ~ r1(X126,X127) )
& ~ p2(X126) )
| ~ r1(X125,X126) )
| ~ sP38(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f50,plain,
! [X124] :
( ! [X125] :
( ( sP38(X125)
& ~ p2(X125) )
| ~ r1(X124,X125) )
| ~ sP39(X124) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f51,plain,
! [X123] :
( ? [X124] :
( sP39(X124)
& ~ p2(X124)
& r1(X123,X124) )
| ~ sP40(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f52,plain,
! [X121] :
( ! [X122] :
( ( ! [X123] :
( sP40(X123)
| ~ r1(X122,X123) )
& ~ p2(X122) )
| ~ r1(X121,X122) )
| ~ sP41(X121) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f53,plain,
! [X118] :
( ! [X119] :
( ( ! [X120] :
( ~ p2(X120)
| ~ r1(X119,X120) )
& ~ p2(X119) )
| ~ r1(X118,X119) )
| ~ sP42(X118) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f54,plain,
! [X117] :
( ! [X118] :
( ( sP42(X118)
& ~ p2(X118) )
| ~ r1(X117,X118) )
| ~ sP43(X117) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f55,plain,
! [X116] :
( ! [X117] :
( ( sP43(X117)
& ~ p2(X117) )
| ~ r1(X116,X117) )
| ~ sP44(X116) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f56,plain,
! [X115] :
( ? [X116] :
( sP44(X116)
& ~ p2(X116)
& r1(X115,X116) )
| ~ sP45(X115) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f57,plain,
! [X112] :
( ! [X113] :
( ( ! [X114] :
( p1(X114)
| ! [X115] :
( sP45(X115)
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
& ~ p2(X113) )
| ~ r1(X112,X113) )
| ~ sP46(X112) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f58,plain,
! [X111] :
( ! [X112] :
( ( sP46(X112)
& ~ p2(X112) )
| ~ r1(X111,X112) )
| ~ sP47(X111) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f59,plain,
! [X110] :
( ? [X111] :
( sP47(X111)
& ~ p2(X111)
& r1(X110,X111) )
| ~ sP48(X110) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f60,plain,
! [X108] :
( ! [X109] :
( ( ! [X110] :
( sP48(X110)
| ~ r1(X109,X110) )
& ~ p2(X109) )
| ~ r1(X108,X109) )
| ~ sP49(X108) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f61,plain,
! [X107] :
( ! [X108] :
( ( sP49(X108)
& ~ p2(X108) )
| ~ r1(X107,X108) )
| ~ sP50(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f62,plain,
! [X106] :
( ? [X107] :
( sP50(X107)
& ~ p2(X107)
& r1(X106,X107) )
| ~ sP51(X106) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f63,plain,
! [X104] :
( ! [X105] :
( ( ! [X106] :
( sP51(X106)
| ~ r1(X105,X106) )
& ~ p2(X105) )
| ~ r1(X104,X105) )
| ~ sP52(X104) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
! [X103] :
( ! [X104] :
( ( sP52(X104)
& ~ p2(X104) )
| ~ r1(X103,X104) )
| ~ sP53(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f65,plain,
! [X102] :
( ? [X103] :
( sP53(X103)
& ~ p2(X103)
& r1(X102,X103) )
| ~ sP54(X102) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f66,plain,
! [X100] :
( ! [X101] :
( ( ! [X102] :
( sP54(X102)
| ~ r1(X101,X102) )
& ~ p2(X101) )
| ~ r1(X100,X101) )
| ~ sP55(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
! [X81] :
( ! [X82] :
( ( ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83) )
& ~ p2(X82) )
| ~ r1(X81,X82) )
| ~ sP66(X81) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f78,plain,
! [X80] :
( ! [X81] :
( ( sP66(X81)
& ~ p2(X81) )
| ~ r1(X80,X81) )
| ~ sP67(X80) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f79,plain,
! [X79] :
( ! [X80] :
( ( sP67(X80)
& ~ p2(X80) )
| ~ r1(X79,X80) )
| ~ sP68(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f80,plain,
! [X78] :
( ? [X79] :
( sP68(X79)
& ~ p2(X79)
& r1(X78,X79) )
| ~ sP69(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f81,plain,
! [X75] :
( ! [X76] :
( ( ! [X77] :
( p1(X77)
| ! [X78] :
( sP69(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
& ~ p2(X76) )
| ~ r1(X75,X76) )
| ~ sP70(X75) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f82,plain,
! [X74] :
( ! [X75] :
( ( sP70(X75)
& ~ p2(X75) )
| ~ r1(X74,X75) )
| ~ sP71(X74) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f83,plain,
! [X73] :
( ? [X74] :
( sP71(X74)
& ~ p2(X74)
& r1(X73,X74) )
| ~ sP72(X73) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f84,plain,
! [X71] :
( ! [X72] :
( ( ! [X73] :
( sP72(X73)
| ~ r1(X72,X73) )
& ~ p2(X72) )
| ~ r1(X71,X72) )
| ~ sP73(X71) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f85,plain,
! [X70] :
( ! [X71] :
( ( sP73(X71)
& ~ p2(X71) )
| ~ r1(X70,X71) )
| ~ sP74(X70) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f86,plain,
! [X69] :
( ? [X70] :
( sP74(X70)
& ~ p2(X70)
& r1(X69,X70) )
| ~ sP75(X69) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f87,plain,
! [X65] :
( ! [X66] :
( ( ! [X67] :
( ~ p2(X67)
| ~ r1(X66,X67) )
& ~ p2(X66) )
| ~ r1(X65,X66) )
| ~ sP76(X65) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f88,plain,
! [X64] :
( ! [X65] :
( ( sP76(X65)
& ~ p2(X65) )
| ~ r1(X64,X65) )
| ~ sP77(X64) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f89,plain,
! [X63] :
( ! [X64] :
( ( sP77(X64)
& ~ p2(X64) )
| ~ r1(X63,X64) )
| ~ sP78(X63) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f90,plain,
! [X62] :
( ? [X63] :
( sP78(X63)
& ~ p2(X63)
& r1(X62,X63) )
| ~ sP79(X62) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f91,plain,
! [X59] :
( ! [X60] :
( ( ! [X61] :
( p1(X61)
| ! [X62] :
( sP79(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60) )
| ~ r1(X59,X60) )
| ~ sP80(X59) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f92,plain,
! [X58] :
( ! [X59] :
( ( sP80(X59)
& ~ p2(X59) )
| ~ r1(X58,X59) )
| ~ sP81(X58) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f93,plain,
! [X57] :
( ? [X58] :
( sP81(X58)
& ~ p2(X58)
& r1(X57,X58) )
| ~ sP82(X57) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f94,plain,
! [X55] :
( ! [X56] :
( ( ! [X57] :
( sP82(X57)
| ~ r1(X56,X57) )
& ~ p2(X56) )
| ~ r1(X55,X56) )
| ~ sP83(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f95,plain,
! [X54] :
( ! [X55] :
( ( sP83(X55)
& ~ p2(X55) )
| ~ r1(X54,X55) )
| ~ sP84(X54) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f96,plain,
! [X53] :
( ? [X54] :
( sP84(X54)
& ~ p2(X54)
& r1(X53,X54) )
| ~ sP85(X53) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f97,plain,
! [X49] :
( ! [X50] :
( ( ! [X51] :
( ~ p1(X51)
| ~ r1(X50,X51) )
& ~ p2(X50) )
| ~ r1(X49,X50) )
| ~ sP86(X49) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f98,plain,
! [X48] :
( ! [X49] :
( ( sP86(X49)
& ~ p2(X49) )
| ~ r1(X48,X49) )
| ~ sP87(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f99,plain,
! [X47] :
( ! [X48] :
( ( sP87(X48)
& ~ p2(X48) )
| ~ r1(X47,X48) )
| ~ sP88(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f100,plain,
! [X46] :
( ? [X47] :
( sP88(X47)
& ~ p2(X47)
& r1(X46,X47) )
| ~ sP89(X46) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f101,plain,
! [X43] :
( ! [X44] :
( ( ! [X45] :
( p2(X45)
| ! [X46] :
( sP89(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
& ~ p2(X44) )
| ~ r1(X43,X44) )
| ~ sP90(X43) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f102,plain,
! [X42] :
( ! [X43] :
( ( sP90(X43)
& ~ p2(X43) )
| ~ r1(X42,X43) )
| ~ sP91(X42) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f103,plain,
! [X41] :
( ? [X42] :
( sP91(X42)
& ~ p2(X42)
& r1(X41,X42) )
| ~ sP92(X41) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f104,plain,
! [X38] :
( ! [X39] :
( ( ! [X40] :
( ~ p1(X40)
| ~ r1(X39,X40) )
& ~ p2(X39) )
| ~ r1(X38,X39) )
| ~ sP93(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f105,plain,
! [X37] :
( ! [X38] :
( ( sP93(X38)
& ~ p2(X38) )
| ~ r1(X37,X38) )
| ~ sP94(X37) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f106,plain,
! [X36] :
( ! [X37] :
( ( sP94(X37)
& ~ p2(X37) )
| ~ r1(X36,X37) )
| ~ sP95(X36) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f107,plain,
! [X35] :
( ? [X36] :
( sP95(X36)
& ~ p2(X36)
& r1(X35,X36) )
| ~ sP96(X35) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f108,plain,
! [X32] :
( ! [X33] :
( ( ! [X34] :
( p1(X34)
| ! [X35] :
( sP96(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33) )
| ~ r1(X32,X33) )
| ~ sP97(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f109,plain,
! [X31] :
( ! [X32] :
( ( sP97(X32)
& ~ p2(X32) )
| ~ r1(X31,X32) )
| ~ sP98(X31) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f110,plain,
! [X30] :
( ? [X31] :
( sP98(X31)
& ~ p2(X31)
& r1(X30,X31) )
| ~ sP99(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f111,plain,
! [X27] :
( ! [X28] :
( ( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| ~ r1(X27,X28) )
| ~ sP100(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f112,plain,
! [X26] :
( ! [X27] :
( ( sP100(X27)
& ~ p2(X27) )
| ~ r1(X26,X27) )
| ~ sP101(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f113,plain,
! [X25] :
( ! [X26] :
( ( sP101(X26)
& ~ p2(X26) )
| ~ r1(X25,X26) )
| ~ sP102(X25) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f114,plain,
! [X24] :
( ? [X25] :
( sP102(X25)
& ~ p2(X25)
& r1(X24,X25) )
| ~ sP103(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f115,plain,
! [X21] :
( ! [X22] :
( ( ! [X23] :
( p1(X23)
| ! [X24] :
( sP103(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p2(X22) )
| ~ r1(X21,X22) )
| ~ sP104(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f116,plain,
! [X20] :
( ! [X21] :
( ( sP104(X21)
& ~ p2(X21) )
| ~ r1(X20,X21) )
| ~ sP105(X20) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f117,plain,
! [X19] :
( ? [X20] :
( sP105(X20)
& ~ p2(X20)
& r1(X19,X20) )
| ~ sP106(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f118,plain,
! [X16] :
( ! [X17] :
( ( ! [X18] :
( ~ p1(X18)
| ~ r1(X17,X18) )
& ~ p2(X17) )
| ~ r1(X16,X17) )
| ~ sP107(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f119,plain,
! [X15] :
( ! [X16] :
( ( sP107(X16)
& ~ p2(X16) )
| ~ r1(X15,X16) )
| ~ sP108(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f120,plain,
! [X14] :
( ! [X15] :
( ( sP108(X15)
& ~ p2(X15) )
| ~ r1(X14,X15) )
| ~ sP109(X14) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f121,plain,
! [X13] :
( ? [X14] :
( sP109(X14)
& ~ p2(X14)
& r1(X13,X14) )
| ~ sP110(X13) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f122,plain,
! [X10] :
( ! [X11] :
( ( ! [X12] :
( ~ p1(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(X10,X11) )
| ~ sP111(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f123,plain,
! [X9] :
( ! [X10] :
( ( sP111(X10)
& ~ p2(X10) )
| ~ r1(X9,X10) )
| ~ sP112(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f124,plain,
! [X8] :
( ! [X9] :
( ( sP112(X9)
& ~ p2(X9) )
| ~ r1(X8,X9) )
| ~ sP113(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f125,plain,
! [X7] :
( ? [X8] :
( sP113(X8)
& ~ p2(X8)
& r1(X7,X8) )
| ~ sP114(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f126,plain,
! [X4] :
( ! [X5] :
( ( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5) )
| ~ r1(X4,X5) )
| ~ sP115(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f127,plain,
! [X3] :
( ! [X4] :
( ( sP115(X4)
& ~ p2(X4) )
| ~ r1(X3,X4) )
| ~ sP116(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f128,plain,
! [X2] :
( ! [X3] :
( ( sP116(X3)
& ~ p2(X3) )
| ~ r1(X2,X3) )
| ~ sP117(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f129,plain,
! [X1] :
( ? [X2] :
( sP117(X2)
& ~ p2(X2)
& r1(X1,X2) )
| ~ sP118(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f8,plain,
? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ( ! [X4] :
( ( ! [X5] :
( ( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5) )
| ~ r1(X4,X5) )
& ~ p2(X4) )
| ~ r1(X3,X4) )
& ~ p2(X3) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X7] :
( ? [X8] :
( ! [X9] :
( ( ! [X10] :
( ( ! [X11] :
( ( ! [X12] :
( ~ p1(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(X10,X11) )
& ~ p2(X10) )
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(X8,X9) )
& ~ p2(X8)
& r1(X7,X8) )
| ~ r1(X0,X7) ) )
& ( p2(X0)
| ! [X13] :
( ? [X14] :
( ! [X15] :
( ( ! [X16] :
( ( ! [X17] :
( ( ! [X18] :
( ~ p1(X18)
| ~ r1(X17,X18) )
& ~ p2(X17) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| ~ r1(X15,X16) )
& ~ p2(X15) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
| ~ r1(X0,X13) ) )
& ! [X19] :
( ? [X20] :
( ! [X21] :
( ( ! [X22] :
( ( ! [X23] :
( p1(X23)
| ! [X24] :
( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ( ! [X28] :
( ( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| ~ r1(X27,X28) )
& ~ p2(X27) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| ~ r1(X25,X26) )
& ~ p2(X25)
& r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p2(X22) )
| ~ r1(X21,X22) )
& ~ p2(X21) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X19,X20) )
| ~ r1(X0,X19) )
& ~ p2(X0)
& ! [X30] :
( ? [X31] :
( ! [X32] :
( ( ! [X33] :
( ( ! [X34] :
( p1(X34)
| ! [X35] :
( ? [X36] :
( ! [X37] :
( ( ! [X38] :
( ( ! [X39] :
( ( ! [X40] :
( ~ p1(X40)
| ~ r1(X39,X40) )
& ~ p2(X39) )
| ~ r1(X38,X39) )
& ~ p2(X38) )
| ~ r1(X37,X38) )
& ~ p2(X37) )
| ~ r1(X36,X37) )
& ~ p2(X36)
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33) )
| ~ r1(X32,X33) )
& ~ p2(X32) )
| ~ r1(X31,X32) )
& ~ p2(X31)
& r1(X30,X31) )
| ~ r1(X0,X30) )
& ~ p2(X0)
& ! [X41] :
( ? [X42] :
( ! [X43] :
( ( ! [X44] :
( ( ! [X45] :
( p2(X45)
| ! [X46] :
( ? [X47] :
( ! [X48] :
( ( ! [X49] :
( ( ! [X50] :
( ( ! [X51] :
( ~ p1(X51)
| ~ r1(X50,X51) )
& ~ p2(X50) )
| ~ r1(X49,X50) )
& ~ p2(X49) )
| ~ r1(X48,X49) )
& ~ p2(X48) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
& ~ p2(X44) )
| ~ r1(X43,X44) )
& ~ p2(X43) )
| ~ r1(X42,X43) )
& ~ p2(X42)
& r1(X41,X42) )
| ~ r1(X0,X41) )
& ~ p2(X0)
& ! [X52] :
( ( ! [X53] :
( ? [X54] :
( ! [X55] :
( ( ! [X56] :
( ( ! [X57] :
( ? [X58] :
( ! [X59] :
( ( ! [X60] :
( ( ! [X61] :
( p1(X61)
| ! [X62] :
( ? [X63] :
( ! [X64] :
( ( ! [X65] :
( ( ! [X66] :
( ( ! [X67] :
( ~ p2(X67)
| ~ r1(X66,X67) )
& ~ p2(X66) )
| ~ r1(X65,X66) )
& ~ p2(X65) )
| ~ r1(X64,X65) )
& ~ p2(X64) )
| ~ r1(X63,X64) )
& ~ p2(X63)
& r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60) )
| ~ r1(X59,X60) )
& ~ p2(X59) )
| ~ r1(X58,X59) )
& ~ p2(X58)
& r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p2(X56) )
| ~ r1(X55,X56) )
& ~ p2(X55) )
| ~ r1(X54,X55) )
& ~ p2(X54)
& r1(X53,X54) )
| ~ r1(X52,X53) )
& ~ p2(X52) )
| ~ r1(X0,X52) )
& ~ p2(X0)
& ! [X68] :
( ( ! [X69] :
( ? [X70] :
( ! [X71] :
( ( ! [X72] :
( ( ! [X73] :
( ? [X74] :
( ! [X75] :
( ( ! [X76] :
( ( ! [X77] :
( p1(X77)
| ! [X78] :
( ? [X79] :
( ! [X80] :
( ( ! [X81] :
( ( ! [X82] :
( ( ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83) )
& ~ p2(X82) )
| ~ r1(X81,X82) )
& ~ p2(X81) )
| ~ r1(X80,X81) )
& ~ p2(X80) )
| ~ r1(X79,X80) )
& ~ p2(X79)
& r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
& ~ p2(X76) )
| ~ r1(X75,X76) )
& ~ p2(X75) )
| ~ r1(X74,X75) )
& ~ p2(X74)
& r1(X73,X74) )
| ~ r1(X72,X73) )
& ~ p2(X72) )
| ~ r1(X71,X72) )
& ~ p2(X71) )
| ~ r1(X70,X71) )
& ~ p2(X70)
& r1(X69,X70) )
| ~ r1(X68,X69) )
& ~ p2(X68) )
| ~ r1(X0,X68) )
& ~ p2(X0)
& ! [X84] :
( ( ! [X85] :
( ? [X86] :
( ! [X87] :
( ( ! [X88] :
( ( ! [X89] :
( ? [X90] :
( ! [X91] :
( ( ! [X92] :
( ( ! [X93] :
( p2(X93)
| ! [X94] :
( ? [X95] :
( ! [X96] :
( ( ! [X97] :
( ( ! [X98] :
( ( ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
& ~ p2(X98) )
| ~ r1(X97,X98) )
& ~ p2(X97) )
| ~ r1(X96,X97) )
& ~ p2(X96) )
| ~ r1(X95,X96) )
& ~ p2(X95)
& r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
& ~ p2(X92) )
| ~ r1(X91,X92) )
& ~ p2(X91) )
| ~ r1(X90,X91) )
& ~ p2(X90)
& r1(X89,X90) )
| ~ r1(X88,X89) )
& ~ p2(X88) )
| ~ r1(X87,X88) )
& ~ p2(X87) )
| ~ r1(X86,X87) )
& ~ p2(X86)
& r1(X85,X86) )
| ~ r1(X84,X85) )
& ~ p2(X84) )
| ~ r1(X0,X84) )
& ~ p2(X0)
& ! [X100] :
( ( ! [X101] :
( ( ! [X102] :
( ? [X103] :
( ! [X104] :
( ( ! [X105] :
( ( ! [X106] :
( ? [X107] :
( ! [X108] :
( ( ! [X109] :
( ( ! [X110] :
( ? [X111] :
( ! [X112] :
( ( ! [X113] :
( ( ! [X114] :
( p1(X114)
| ! [X115] :
( ? [X116] :
( ! [X117] :
( ( ! [X118] :
( ( ! [X119] :
( ( ! [X120] :
( ~ p2(X120)
| ~ r1(X119,X120) )
& ~ p2(X119) )
| ~ r1(X118,X119) )
& ~ p2(X118) )
| ~ r1(X117,X118) )
& ~ p2(X117) )
| ~ r1(X116,X117) )
& ~ p2(X116)
& r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
& ~ p2(X113) )
| ~ r1(X112,X113) )
& ~ p2(X112) )
| ~ r1(X111,X112) )
& ~ p2(X111)
& r1(X110,X111) )
| ~ r1(X109,X110) )
& ~ p2(X109) )
| ~ r1(X108,X109) )
& ~ p2(X108) )
| ~ r1(X107,X108) )
& ~ p2(X107)
& r1(X106,X107) )
| ~ r1(X105,X106) )
& ~ p2(X105) )
| ~ r1(X104,X105) )
& ~ p2(X104) )
| ~ r1(X103,X104) )
& ~ p2(X103)
& r1(X102,X103) )
| ~ r1(X101,X102) )
& ~ p2(X101) )
| ~ r1(X100,X101) )
& ~ p2(X100) )
| ~ r1(X0,X100) )
& ~ p2(X0)
& ! [X121] :
( ( ! [X122] :
( ( ! [X123] :
( ? [X124] :
( ! [X125] :
( ( ! [X126] :
( ( ! [X127] :
( ? [X128] :
( ! [X129] :
( ( ! [X130] :
( ( ! [X131] :
( ? [X132] :
( ! [X133] :
( ( ! [X134] :
( ( ! [X135] :
( p1(X135)
| ! [X136] :
( ? [X137] :
( ! [X138] :
( ( ! [X139] :
( ( ! [X140] :
( ( ! [X141] :
( ~ p1(X141)
| ~ r1(X140,X141) )
& ~ p2(X140) )
| ~ r1(X139,X140) )
& ~ p2(X139) )
| ~ r1(X138,X139) )
& ~ p2(X138) )
| ~ r1(X137,X138) )
& ~ p2(X137)
& r1(X136,X137) )
| ~ r1(X135,X136) )
| ~ r1(X134,X135) )
& ~ p2(X134) )
| ~ r1(X133,X134) )
& ~ p2(X133) )
| ~ r1(X132,X133) )
& ~ p2(X132)
& r1(X131,X132) )
| ~ r1(X130,X131) )
& ~ p2(X130) )
| ~ r1(X129,X130) )
& ~ p2(X129) )
| ~ r1(X128,X129) )
& ~ p2(X128)
& r1(X127,X128) )
| ~ r1(X126,X127) )
& ~ p2(X126) )
| ~ r1(X125,X126) )
& ~ p2(X125) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X123,X124) )
| ~ r1(X122,X123) )
& ~ p2(X122) )
| ~ r1(X121,X122) )
& ~ p2(X121) )
| ~ r1(X0,X121) )
& ~ p2(X0)
& ! [X142] :
( ( ! [X143] :
( ( ! [X144] :
( ? [X145] :
( ! [X146] :
( ( ! [X147] :
( ( ! [X148] :
( ? [X149] :
( ! [X150] :
( ( ! [X151] :
( ( ! [X152] :
( ? [X153] :
( ! [X154] :
( ( ! [X155] :
( ( ! [X156] :
( p2(X156)
| ! [X157] :
( ? [X158] :
( ! [X159] :
( ( ! [X160] :
( ( ! [X161] :
( ( ! [X162] :
( ~ p1(X162)
| ~ r1(X161,X162) )
& ~ p2(X161) )
| ~ r1(X160,X161) )
& ~ p2(X160) )
| ~ r1(X159,X160) )
& ~ p2(X159) )
| ~ r1(X158,X159) )
& ~ p2(X158)
& r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
& ~ p2(X155) )
| ~ r1(X154,X155) )
& ~ p2(X154) )
| ~ r1(X153,X154) )
& ~ p2(X153)
& r1(X152,X153) )
| ~ r1(X151,X152) )
& ~ p2(X151) )
| ~ r1(X150,X151) )
& ~ p2(X150) )
| ~ r1(X149,X150) )
& ~ p2(X149)
& r1(X148,X149) )
| ~ r1(X147,X148) )
& ~ p2(X147) )
| ~ r1(X146,X147) )
& ~ p2(X146) )
| ~ r1(X145,X146) )
& ~ p2(X145)
& r1(X144,X145) )
| ~ r1(X143,X144) )
& ~ p2(X143) )
| ~ r1(X142,X143) )
& ~ p2(X142) )
| ~ r1(X0,X142) )
& ~ p2(X0)
& ! [X163] :
( ( ! [X164] :
( ( ! [X165] :
( ( ! [X166] :
( ? [X167] :
( ! [X168] :
( ( ! [X169] :
( ( ! [X170] :
( ? [X171] :
( ! [X172] :
( ( ! [X173] :
( ( ! [X174] :
( ? [X175] :
( ! [X176] :
( ( ! [X177] :
( ( ! [X178] :
( ? [X179] :
( ! [X180] :
( ( ! [X181] :
( ( ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
& ~ p2(X181) )
| ~ r1(X180,X181) )
& ~ p2(X180) )
| ~ r1(X179,X180) )
& ~ p2(X179)
& r1(X178,X179) )
| ~ r1(X177,X178) )
& ~ p2(X177) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ~ r1(X175,X176) )
& ~ p2(X175)
& r1(X174,X175) )
| ~ r1(X173,X174) )
& ~ p2(X173) )
| ~ r1(X172,X173) )
& ~ p2(X172) )
| ~ r1(X171,X172) )
& ~ p2(X171)
& r1(X170,X171) )
| ~ r1(X169,X170) )
& ~ p2(X169) )
| ~ r1(X168,X169) )
& ~ p2(X168) )
| ~ r1(X167,X168) )
& ~ p2(X167)
& r1(X166,X167) )
| ~ r1(X165,X166) )
& ~ p2(X165) )
| ~ r1(X164,X165) )
& ~ p2(X164) )
| ~ r1(X163,X164) )
& ~ p2(X163) )
| ~ r1(X0,X163) )
& ~ p2(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ~ p1(X0)
& ( p1(X0)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( ( ! [X4] :
( ( ! [X5] :
( ( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5) )
| ~ r1(X4,X5) )
& ~ p2(X4) )
| ~ r1(X3,X4) )
& ~ p2(X3) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X7] :
( ? [X8] :
( ! [X9] :
( ( ! [X10] :
( ( ! [X11] :
( ( ! [X12] :
( ~ p1(X12)
| ~ r1(X11,X12) )
& ~ p2(X11) )
| ~ r1(X10,X11) )
& ~ p2(X10) )
| ~ r1(X9,X10) )
& ~ p2(X9) )
| ~ r1(X8,X9) )
& ~ p2(X8)
& r1(X7,X8) )
| ~ r1(X0,X7) ) )
& ( p2(X0)
| ! [X13] :
( ? [X14] :
( ! [X15] :
( ( ! [X16] :
( ( ! [X17] :
( ( ! [X18] :
( ~ p1(X18)
| ~ r1(X17,X18) )
& ~ p2(X17) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| ~ r1(X15,X16) )
& ~ p2(X15) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
| ~ r1(X0,X13) ) )
& ! [X19] :
( ? [X20] :
( ! [X21] :
( ( ! [X22] :
( ( ! [X23] :
( p1(X23)
| ! [X24] :
( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ( ! [X28] :
( ( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& ~ p2(X28) )
| ~ r1(X27,X28) )
& ~ p2(X27) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| ~ r1(X25,X26) )
& ~ p2(X25)
& r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
& ~ p2(X22) )
| ~ r1(X21,X22) )
& ~ p2(X21) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X19,X20) )
| ~ r1(X0,X19) )
& ~ p2(X0)
& ! [X30] :
( ? [X31] :
( ! [X32] :
( ( ! [X33] :
( ( ! [X34] :
( p1(X34)
| ! [X35] :
( ? [X36] :
( ! [X37] :
( ( ! [X38] :
( ( ! [X39] :
( ( ! [X40] :
( ~ p1(X40)
| ~ r1(X39,X40) )
& ~ p2(X39) )
| ~ r1(X38,X39) )
& ~ p2(X38) )
| ~ r1(X37,X38) )
& ~ p2(X37) )
| ~ r1(X36,X37) )
& ~ p2(X36)
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33) )
| ~ r1(X32,X33) )
& ~ p2(X32) )
| ~ r1(X31,X32) )
& ~ p2(X31)
& r1(X30,X31) )
| ~ r1(X0,X30) )
& ~ p2(X0)
& ! [X41] :
( ? [X42] :
( ! [X43] :
( ( ! [X44] :
( ( ! [X45] :
( p2(X45)
| ! [X46] :
( ? [X47] :
( ! [X48] :
( ( ! [X49] :
( ( ! [X50] :
( ( ! [X51] :
( ~ p1(X51)
| ~ r1(X50,X51) )
& ~ p2(X50) )
| ~ r1(X49,X50) )
& ~ p2(X49) )
| ~ r1(X48,X49) )
& ~ p2(X48) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
& ~ p2(X44) )
| ~ r1(X43,X44) )
& ~ p2(X43) )
| ~ r1(X42,X43) )
& ~ p2(X42)
& r1(X41,X42) )
| ~ r1(X0,X41) )
& ~ p2(X0)
& ! [X52] :
( ( ! [X53] :
( ? [X54] :
( ! [X55] :
( ( ! [X56] :
( ( ! [X57] :
( ? [X58] :
( ! [X59] :
( ( ! [X60] :
( ( ! [X61] :
( p1(X61)
| ! [X62] :
( ? [X63] :
( ! [X64] :
( ( ! [X65] :
( ( ! [X66] :
( ( ! [X67] :
( ~ p2(X67)
| ~ r1(X66,X67) )
& ~ p2(X66) )
| ~ r1(X65,X66) )
& ~ p2(X65) )
| ~ r1(X64,X65) )
& ~ p2(X64) )
| ~ r1(X63,X64) )
& ~ p2(X63)
& r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60) )
| ~ r1(X59,X60) )
& ~ p2(X59) )
| ~ r1(X58,X59) )
& ~ p2(X58)
& r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p2(X56) )
| ~ r1(X55,X56) )
& ~ p2(X55) )
| ~ r1(X54,X55) )
& ~ p2(X54)
& r1(X53,X54) )
| ~ r1(X52,X53) )
& ~ p2(X52) )
| ~ r1(X0,X52) )
& ~ p2(X0)
& ! [X68] :
( ( ! [X69] :
( ? [X70] :
( ! [X71] :
( ( ! [X72] :
( ( ! [X73] :
( ? [X74] :
( ! [X75] :
( ( ! [X76] :
( ( ! [X77] :
( p1(X77)
| ! [X78] :
( ? [X79] :
( ! [X80] :
( ( ! [X81] :
( ( ! [X82] :
( ( ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83) )
& ~ p2(X82) )
| ~ r1(X81,X82) )
& ~ p2(X81) )
| ~ r1(X80,X81) )
& ~ p2(X80) )
| ~ r1(X79,X80) )
& ~ p2(X79)
& r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
& ~ p2(X76) )
| ~ r1(X75,X76) )
& ~ p2(X75) )
| ~ r1(X74,X75) )
& ~ p2(X74)
& r1(X73,X74) )
| ~ r1(X72,X73) )
& ~ p2(X72) )
| ~ r1(X71,X72) )
& ~ p2(X71) )
| ~ r1(X70,X71) )
& ~ p2(X70)
& r1(X69,X70) )
| ~ r1(X68,X69) )
& ~ p2(X68) )
| ~ r1(X0,X68) )
& ~ p2(X0)
& ! [X84] :
( ( ! [X85] :
( ? [X86] :
( ! [X87] :
( ( ! [X88] :
( ( ! [X89] :
( ? [X90] :
( ! [X91] :
( ( ! [X92] :
( ( ! [X93] :
( p2(X93)
| ! [X94] :
( ? [X95] :
( ! [X96] :
( ( ! [X97] :
( ( ! [X98] :
( ( ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
& ~ p2(X98) )
| ~ r1(X97,X98) )
& ~ p2(X97) )
| ~ r1(X96,X97) )
& ~ p2(X96) )
| ~ r1(X95,X96) )
& ~ p2(X95)
& r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
& ~ p2(X92) )
| ~ r1(X91,X92) )
& ~ p2(X91) )
| ~ r1(X90,X91) )
& ~ p2(X90)
& r1(X89,X90) )
| ~ r1(X88,X89) )
& ~ p2(X88) )
| ~ r1(X87,X88) )
& ~ p2(X87) )
| ~ r1(X86,X87) )
& ~ p2(X86)
& r1(X85,X86) )
| ~ r1(X84,X85) )
& ~ p2(X84) )
| ~ r1(X0,X84) )
& ~ p2(X0)
& ! [X100] :
( ( ! [X101] :
( ( ! [X102] :
( ? [X103] :
( ! [X104] :
( ( ! [X105] :
( ( ! [X106] :
( ? [X107] :
( ! [X108] :
( ( ! [X109] :
( ( ! [X110] :
( ? [X111] :
( ! [X112] :
( ( ! [X113] :
( ( ! [X114] :
( p1(X114)
| ! [X115] :
( ? [X116] :
( ! [X117] :
( ( ! [X118] :
( ( ! [X119] :
( ( ! [X120] :
( ~ p2(X120)
| ~ r1(X119,X120) )
& ~ p2(X119) )
| ~ r1(X118,X119) )
& ~ p2(X118) )
| ~ r1(X117,X118) )
& ~ p2(X117) )
| ~ r1(X116,X117) )
& ~ p2(X116)
& r1(X115,X116) )
| ~ r1(X114,X115) )
| ~ r1(X113,X114) )
& ~ p2(X113) )
| ~ r1(X112,X113) )
& ~ p2(X112) )
| ~ r1(X111,X112) )
& ~ p2(X111)
& r1(X110,X111) )
| ~ r1(X109,X110) )
& ~ p2(X109) )
| ~ r1(X108,X109) )
& ~ p2(X108) )
| ~ r1(X107,X108) )
& ~ p2(X107)
& r1(X106,X107) )
| ~ r1(X105,X106) )
& ~ p2(X105) )
| ~ r1(X104,X105) )
& ~ p2(X104) )
| ~ r1(X103,X104) )
& ~ p2(X103)
& r1(X102,X103) )
| ~ r1(X101,X102) )
& ~ p2(X101) )
| ~ r1(X100,X101) )
& ~ p2(X100) )
| ~ r1(X0,X100) )
& ~ p2(X0)
& ! [X121] :
( ( ! [X122] :
( ( ! [X123] :
( ? [X124] :
( ! [X125] :
( ( ! [X126] :
( ( ! [X127] :
( ? [X128] :
( ! [X129] :
( ( ! [X130] :
( ( ! [X131] :
( ? [X132] :
( ! [X133] :
( ( ! [X134] :
( ( ! [X135] :
( p1(X135)
| ! [X136] :
( ? [X137] :
( ! [X138] :
( ( ! [X139] :
( ( ! [X140] :
( ( ! [X141] :
( ~ p1(X141)
| ~ r1(X140,X141) )
& ~ p2(X140) )
| ~ r1(X139,X140) )
& ~ p2(X139) )
| ~ r1(X138,X139) )
& ~ p2(X138) )
| ~ r1(X137,X138) )
& ~ p2(X137)
& r1(X136,X137) )
| ~ r1(X135,X136) )
| ~ r1(X134,X135) )
& ~ p2(X134) )
| ~ r1(X133,X134) )
& ~ p2(X133) )
| ~ r1(X132,X133) )
& ~ p2(X132)
& r1(X131,X132) )
| ~ r1(X130,X131) )
& ~ p2(X130) )
| ~ r1(X129,X130) )
& ~ p2(X129) )
| ~ r1(X128,X129) )
& ~ p2(X128)
& r1(X127,X128) )
| ~ r1(X126,X127) )
& ~ p2(X126) )
| ~ r1(X125,X126) )
& ~ p2(X125) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X123,X124) )
| ~ r1(X122,X123) )
& ~ p2(X122) )
| ~ r1(X121,X122) )
& ~ p2(X121) )
| ~ r1(X0,X121) )
& ~ p2(X0)
& ! [X142] :
( ( ! [X143] :
( ( ! [X144] :
( ? [X145] :
( ! [X146] :
( ( ! [X147] :
( ( ! [X148] :
( ? [X149] :
( ! [X150] :
( ( ! [X151] :
( ( ! [X152] :
( ? [X153] :
( ! [X154] :
( ( ! [X155] :
( ( ! [X156] :
( p2(X156)
| ! [X157] :
( ? [X158] :
( ! [X159] :
( ( ! [X160] :
( ( ! [X161] :
( ( ! [X162] :
( ~ p1(X162)
| ~ r1(X161,X162) )
& ~ p2(X161) )
| ~ r1(X160,X161) )
& ~ p2(X160) )
| ~ r1(X159,X160) )
& ~ p2(X159) )
| ~ r1(X158,X159) )
& ~ p2(X158)
& r1(X157,X158) )
| ~ r1(X156,X157) )
| ~ r1(X155,X156) )
& ~ p2(X155) )
| ~ r1(X154,X155) )
& ~ p2(X154) )
| ~ r1(X153,X154) )
& ~ p2(X153)
& r1(X152,X153) )
| ~ r1(X151,X152) )
& ~ p2(X151) )
| ~ r1(X150,X151) )
& ~ p2(X150) )
| ~ r1(X149,X150) )
& ~ p2(X149)
& r1(X148,X149) )
| ~ r1(X147,X148) )
& ~ p2(X147) )
| ~ r1(X146,X147) )
& ~ p2(X146) )
| ~ r1(X145,X146) )
& ~ p2(X145)
& r1(X144,X145) )
| ~ r1(X143,X144) )
& ~ p2(X143) )
| ~ r1(X142,X143) )
& ~ p2(X142) )
| ~ r1(X0,X142) )
& ~ p2(X0)
& ! [X163] :
( ( ! [X164] :
( ( ! [X165] :
( ( ! [X166] :
( ? [X167] :
( ! [X168] :
( ( ! [X169] :
( ( ! [X170] :
( ? [X171] :
( ! [X172] :
( ( ! [X173] :
( ( ! [X174] :
( ? [X175] :
( ! [X176] :
( ( ! [X177] :
( ( ! [X178] :
( ? [X179] :
( ! [X180] :
( ( ! [X181] :
( ( ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
& ~ p2(X181) )
| ~ r1(X180,X181) )
& ~ p2(X180) )
| ~ r1(X179,X180) )
& ~ p2(X179)
& r1(X178,X179) )
| ~ r1(X177,X178) )
& ~ p2(X177) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ~ r1(X175,X176) )
& ~ p2(X175)
& r1(X174,X175) )
| ~ r1(X173,X174) )
& ~ p2(X173) )
| ~ r1(X172,X173) )
& ~ p2(X172) )
| ~ r1(X171,X172) )
& ~ p2(X171)
& r1(X170,X171) )
| ~ r1(X169,X170) )
& ~ p2(X169) )
| ~ r1(X168,X169) )
& ~ p2(X168) )
| ~ r1(X167,X168) )
& ~ p2(X167)
& r1(X166,X167) )
| ~ r1(X165,X166) )
& ~ p2(X165) )
| ~ r1(X164,X165) )
& ~ p2(X164) )
| ~ r1(X163,X164) )
& ~ p2(X163) )
| ~ r1(X0,X163) )
& ~ p2(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ ( ~ ! [X4] :
( ~ ( ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
| p2(X5) )
| ~ r1(X4,X5) )
| p2(X4) )
| ~ r1(X3,X4) )
| p2(X3) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ( ~ p1(X0)
& ~ ! [X7] :
( ~ ! [X8] :
( ~ ! [X9] :
( ~ ( ~ ! [X10] :
( ~ ( ~ ! [X11] :
( ~ ( ~ ! [X12] :
( ~ p1(X12)
| ~ r1(X11,X12) )
| p2(X11) )
| ~ r1(X10,X11) )
| p2(X10) )
| ~ r1(X9,X10) )
| p2(X9) )
| ~ r1(X8,X9) )
| p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X0,X7) ) )
| ( ~ p2(X0)
& ~ ! [X13] :
( ~ ! [X14] :
( ~ ! [X15] :
( ~ ( ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ p1(X18)
| ~ r1(X17,X18) )
| p2(X17) )
| ~ r1(X16,X17) )
| p2(X16) )
| ~ r1(X15,X16) )
| p2(X15) )
| ~ r1(X14,X15) )
| p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X0,X13) ) )
| ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ p1(X23)
& ~ ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| p2(X28) )
| ~ r1(X27,X28) )
| p2(X27) )
| ~ r1(X26,X27) )
| p2(X26) )
| ~ r1(X25,X26) )
| p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) ) )
| ~ r1(X22,X23) )
| p2(X22) )
| ~ r1(X21,X22) )
| p2(X21) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
| p2(X0)
| ~ ! [X30] :
( ~ ! [X31] :
( ~ ! [X32] :
( ~ ( ~ ! [X33] :
( ~ ( ~ ! [X34] :
( ~ ( ~ p1(X34)
& ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ ( ~ ! [X38] :
( ~ ( ~ ! [X39] :
( ~ ( ~ ! [X40] :
( ~ p1(X40)
| ~ r1(X39,X40) )
| p2(X39) )
| ~ r1(X38,X39) )
| p2(X38) )
| ~ r1(X37,X38) )
| p2(X37) )
| ~ r1(X36,X37) )
| p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) ) )
| ~ r1(X33,X34) )
| p2(X33) )
| ~ r1(X32,X33) )
| p2(X32) )
| ~ r1(X31,X32) )
| p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X0,X30) )
| p2(X0)
| ~ ! [X41] :
( ~ ! [X42] :
( ~ ! [X43] :
( ~ ( ~ ! [X44] :
( ~ ( ~ ! [X45] :
( ~ ( ~ p2(X45)
& ~ ! [X46] :
( ~ ! [X47] :
( ~ ! [X48] :
( ~ ( ~ ! [X49] :
( ~ ( ~ ! [X50] :
( ~ ( ~ ! [X51] :
( ~ p1(X51)
| ~ r1(X50,X51) )
| p2(X50) )
| ~ r1(X49,X50) )
| p2(X49) )
| ~ r1(X48,X49) )
| p2(X48) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) ) )
| ~ r1(X44,X45) )
| p2(X44) )
| ~ r1(X43,X44) )
| p2(X43) )
| ~ r1(X42,X43) )
| p2(X42)
| ~ r1(X41,X42) )
| ~ r1(X0,X41) )
| p2(X0)
| ~ ! [X52] :
( ~ ( ~ ! [X53] :
( ~ ! [X54] :
( ~ ! [X55] :
( ~ ( ~ ! [X56] :
( ~ ( ~ ! [X57] :
( ~ ! [X58] :
( ~ ! [X59] :
( ~ ( ~ ! [X60] :
( ~ ( ~ ! [X61] :
( ~ ( ~ p1(X61)
& ~ ! [X62] :
( ~ ! [X63] :
( ~ ! [X64] :
( ~ ( ~ ! [X65] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X67] :
( ~ p2(X67)
| ~ r1(X66,X67) )
| p2(X66) )
| ~ r1(X65,X66) )
| p2(X65) )
| ~ r1(X64,X65) )
| p2(X64) )
| ~ r1(X63,X64) )
| p2(X63)
| ~ r1(X62,X63) )
| ~ r1(X61,X62) ) )
| ~ r1(X60,X61) )
| p2(X60) )
| ~ r1(X59,X60) )
| p2(X59) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56) )
| ~ r1(X55,X56) )
| p2(X55) )
| ~ r1(X54,X55) )
| p2(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p2(X52) )
| ~ r1(X0,X52) )
| p2(X0)
| ~ ! [X68] :
( ~ ( ~ ! [X69] :
( ~ ! [X70] :
( ~ ! [X71] :
( ~ ( ~ ! [X72] :
( ~ ( ~ ! [X73] :
( ~ ! [X74] :
( ~ ! [X75] :
( ~ ( ~ ! [X76] :
( ~ ( ~ ! [X77] :
( ~ ( ~ p1(X77)
& ~ ! [X78] :
( ~ ! [X79] :
( ~ ! [X80] :
( ~ ( ~ ! [X81] :
( ~ ( ~ ! [X82] :
( ~ ( ~ ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83) )
| p2(X82) )
| ~ r1(X81,X82) )
| p2(X81) )
| ~ r1(X80,X81) )
| p2(X80) )
| ~ r1(X79,X80) )
| p2(X79)
| ~ r1(X78,X79) )
| ~ r1(X77,X78) ) )
| ~ r1(X76,X77) )
| p2(X76) )
| ~ r1(X75,X76) )
| p2(X75) )
| ~ r1(X74,X75) )
| p2(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p2(X72) )
| ~ r1(X71,X72) )
| p2(X71) )
| ~ r1(X70,X71) )
| p2(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| p2(X68) )
| ~ r1(X0,X68) )
| p2(X0)
| ~ ! [X84] :
( ~ ( ~ ! [X85] :
( ~ ! [X86] :
( ~ ! [X87] :
( ~ ( ~ ! [X88] :
( ~ ( ~ ! [X89] :
( ~ ! [X90] :
( ~ ! [X91] :
( ~ ( ~ ! [X92] :
( ~ ( ~ ! [X93] :
( ~ ( ~ p2(X93)
& ~ ! [X94] :
( ~ ! [X95] :
( ~ ! [X96] :
( ~ ( ~ ! [X97] :
( ~ ( ~ ! [X98] :
( ~ ( ~ ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
| p2(X98) )
| ~ r1(X97,X98) )
| p2(X97) )
| ~ r1(X96,X97) )
| p2(X96) )
| ~ r1(X95,X96) )
| p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X92,X93) )
| p2(X92) )
| ~ r1(X91,X92) )
| p2(X91) )
| ~ r1(X90,X91) )
| p2(X90)
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| p2(X88) )
| ~ r1(X87,X88) )
| p2(X87) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| p2(X84) )
| ~ r1(X0,X84) )
| p2(X0)
| ~ ! [X100] :
( ~ ( ~ ! [X101] :
( ~ ( ~ ! [X102] :
( ~ ! [X103] :
( ~ ! [X104] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X106] :
( ~ ! [X107] :
( ~ ! [X108] :
( ~ ( ~ ! [X109] :
( ~ ( ~ ! [X110] :
( ~ ! [X111] :
( ~ ! [X112] :
( ~ ( ~ ! [X113] :
( ~ ( ~ ! [X114] :
( ~ ( ~ p1(X114)
& ~ ! [X115] :
( ~ ! [X116] :
( ~ ! [X117] :
( ~ ( ~ ! [X118] :
( ~ ( ~ ! [X119] :
( ~ ( ~ ! [X120] :
( ~ p2(X120)
| ~ r1(X119,X120) )
| p2(X119) )
| ~ r1(X118,X119) )
| p2(X118) )
| ~ r1(X117,X118) )
| p2(X117) )
| ~ r1(X116,X117) )
| p2(X116)
| ~ r1(X115,X116) )
| ~ r1(X114,X115) ) )
| ~ r1(X113,X114) )
| p2(X113) )
| ~ r1(X112,X113) )
| p2(X112) )
| ~ r1(X111,X112) )
| p2(X111)
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| p2(X109) )
| ~ r1(X108,X109) )
| p2(X108) )
| ~ r1(X107,X108) )
| p2(X107)
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| p2(X105) )
| ~ r1(X104,X105) )
| p2(X104) )
| ~ r1(X103,X104) )
| p2(X103)
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| p2(X101) )
| ~ r1(X100,X101) )
| p2(X100) )
| ~ r1(X0,X100) )
| p2(X0)
| ~ ! [X121] :
( ~ ( ~ ! [X122] :
( ~ ( ~ ! [X123] :
( ~ ! [X124] :
( ~ ! [X125] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X127] :
( ~ ! [X128] :
( ~ ! [X129] :
( ~ ( ~ ! [X130] :
( ~ ( ~ ! [X131] :
( ~ ! [X132] :
( ~ ! [X133] :
( ~ ( ~ ! [X134] :
( ~ ( ~ ! [X135] :
( ~ ( ~ p1(X135)
& ~ ! [X136] :
( ~ ! [X137] :
( ~ ! [X138] :
( ~ ( ~ ! [X139] :
( ~ ( ~ ! [X140] :
( ~ ( ~ ! [X141] :
( ~ p1(X141)
| ~ r1(X140,X141) )
| p2(X140) )
| ~ r1(X139,X140) )
| p2(X139) )
| ~ r1(X138,X139) )
| p2(X138) )
| ~ r1(X137,X138) )
| p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X134,X135) )
| p2(X134) )
| ~ r1(X133,X134) )
| p2(X133) )
| ~ r1(X132,X133) )
| p2(X132)
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| p2(X130) )
| ~ r1(X129,X130) )
| p2(X129) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| p2(X126) )
| ~ r1(X125,X126) )
| p2(X125) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| p2(X122) )
| ~ r1(X121,X122) )
| p2(X121) )
| ~ r1(X0,X121) )
| p2(X0)
| ~ ! [X142] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X144] :
( ~ ! [X145] :
( ~ ! [X146] :
( ~ ( ~ ! [X147] :
( ~ ( ~ ! [X148] :
( ~ ! [X149] :
( ~ ! [X150] :
( ~ ( ~ ! [X151] :
( ~ ( ~ ! [X152] :
( ~ ! [X153] :
( ~ ! [X154] :
( ~ ( ~ ! [X155] :
( ~ ( ~ ! [X156] :
( ~ ( ~ p2(X156)
& ~ ! [X157] :
( ~ ! [X158] :
( ~ ! [X159] :
( ~ ( ~ ! [X160] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X162] :
( ~ p1(X162)
| ~ r1(X161,X162) )
| p2(X161) )
| ~ r1(X160,X161) )
| p2(X160) )
| ~ r1(X159,X160) )
| p2(X159) )
| ~ r1(X158,X159) )
| p2(X158)
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X155,X156) )
| p2(X155) )
| ~ r1(X154,X155) )
| p2(X154) )
| ~ r1(X153,X154) )
| p2(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| p2(X151) )
| ~ r1(X150,X151) )
| p2(X150) )
| ~ r1(X149,X150) )
| p2(X149)
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| p2(X147) )
| ~ r1(X146,X147) )
| p2(X146) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| p2(X143) )
| ~ r1(X142,X143) )
| p2(X142) )
| ~ r1(X0,X142) )
| p2(X0)
| ~ ! [X163] :
( ~ ( ~ ! [X164] :
( ~ ( ~ ! [X165] :
( ~ ( ~ ! [X166] :
( ~ ! [X167] :
( ~ ! [X168] :
( ~ ( ~ ! [X169] :
( ~ ( ~ ! [X170] :
( ~ ! [X171] :
( ~ ! [X172] :
( ~ ( ~ ! [X173] :
( ~ ( ~ ! [X174] :
( ~ ! [X175] :
( ~ ! [X176] :
( ~ ( ~ ! [X177] :
( ~ ( ~ ! [X178] :
( ~ ! [X179] :
( ~ ! [X180] :
( ~ ( ~ ! [X181] :
( ~ ( ~ ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
| p2(X181) )
| ~ r1(X180,X181) )
| p2(X180) )
| ~ r1(X179,X180) )
| p2(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| p2(X177) )
| ~ r1(X176,X177) )
| p2(X176) )
| ~ r1(X175,X176) )
| p2(X175)
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| p2(X173) )
| ~ r1(X172,X173) )
| p2(X172) )
| ~ r1(X171,X172) )
| p2(X171)
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| p2(X169) )
| ~ r1(X168,X169) )
| p2(X168) )
| ~ r1(X167,X168) )
| p2(X167)
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| p2(X165) )
| ~ r1(X164,X165) )
| p2(X164) )
| ~ r1(X163,X164) )
| p2(X163) )
| ~ r1(X0,X163) )
| p2(X0) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ ( ~ ! [X4] :
( ~ ( ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
| p2(X5) )
| ~ r1(X4,X5) )
| p2(X4) )
| ~ r1(X3,X4) )
| p2(X3) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ( ~ p1(X0)
& ~ ! [X7] :
( ~ ! [X8] :
( ~ ! [X9] :
( ~ ( ~ ! [X10] :
( ~ ( ~ ! [X11] :
( ~ ( ~ ! [X12] :
( ~ p1(X12)
| ~ r1(X11,X12) )
| p2(X11) )
| ~ r1(X10,X11) )
| p2(X10) )
| ~ r1(X9,X10) )
| p2(X9) )
| ~ r1(X8,X9) )
| p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X0,X7) ) )
| ( ~ p2(X0)
& ~ ! [X13] :
( ~ ! [X14] :
( ~ ! [X15] :
( ~ ( ~ ! [X16] :
( ~ ( ~ ! [X17] :
( ~ ( ~ ! [X18] :
( ~ p1(X18)
| ~ r1(X17,X18) )
| p2(X17) )
| ~ r1(X16,X17) )
| p2(X16) )
| ~ r1(X15,X16) )
| p2(X15) )
| ~ r1(X14,X15) )
| p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X0,X13) ) )
| ~ ! [X19] :
( ~ ! [X20] :
( ~ ! [X21] :
( ~ ( ~ ! [X22] :
( ~ ( ~ ! [X23] :
( ~ ( ~ p1(X23)
& ~ ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ ( ~ ! [X27] :
( ~ ( ~ ! [X28] :
( ~ ( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| p2(X28) )
| ~ r1(X27,X28) )
| p2(X27) )
| ~ r1(X26,X27) )
| p2(X26) )
| ~ r1(X25,X26) )
| p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) ) )
| ~ r1(X22,X23) )
| p2(X22) )
| ~ r1(X21,X22) )
| p2(X21) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
| p2(X0)
| ~ ! [X30] :
( ~ ! [X31] :
( ~ ! [X32] :
( ~ ( ~ ! [X33] :
( ~ ( ~ ! [X34] :
( ~ ( ~ p1(X34)
& ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ ( ~ ! [X38] :
( ~ ( ~ ! [X39] :
( ~ ( ~ ! [X40] :
( ~ p1(X40)
| ~ r1(X39,X40) )
| p2(X39) )
| ~ r1(X38,X39) )
| p2(X38) )
| ~ r1(X37,X38) )
| p2(X37) )
| ~ r1(X36,X37) )
| p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) ) )
| ~ r1(X33,X34) )
| p2(X33) )
| ~ r1(X32,X33) )
| p2(X32) )
| ~ r1(X31,X32) )
| p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X0,X30) )
| p2(X0)
| ~ ! [X41] :
( ~ ! [X42] :
( ~ ! [X43] :
( ~ ( ~ ! [X44] :
( ~ ( ~ ! [X45] :
( ~ ( ~ p2(X45)
& ~ ! [X46] :
( ~ ! [X47] :
( ~ ! [X48] :
( ~ ( ~ ! [X49] :
( ~ ( ~ ! [X50] :
( ~ ( ~ ! [X51] :
( ~ p1(X51)
| ~ r1(X50,X51) )
| p2(X50) )
| ~ r1(X49,X50) )
| p2(X49) )
| ~ r1(X48,X49) )
| p2(X48) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) ) )
| ~ r1(X44,X45) )
| p2(X44) )
| ~ r1(X43,X44) )
| p2(X43) )
| ~ r1(X42,X43) )
| p2(X42)
| ~ r1(X41,X42) )
| ~ r1(X0,X41) )
| p2(X0)
| ~ ! [X52] :
( ~ ( ~ ! [X53] :
( ~ ! [X54] :
( ~ ! [X55] :
( ~ ( ~ ! [X56] :
( ~ ( ~ ! [X57] :
( ~ ! [X58] :
( ~ ! [X59] :
( ~ ( ~ ! [X60] :
( ~ ( ~ ! [X61] :
( ~ ( ~ p1(X61)
& ~ ! [X62] :
( ~ ! [X63] :
( ~ ! [X64] :
( ~ ( ~ ! [X65] :
( ~ ( ~ ! [X66] :
( ~ ( ~ ! [X67] :
( ~ p2(X67)
| ~ r1(X66,X67) )
| p2(X66) )
| ~ r1(X65,X66) )
| p2(X65) )
| ~ r1(X64,X65) )
| p2(X64) )
| ~ r1(X63,X64) )
| p2(X63)
| ~ r1(X62,X63) )
| ~ r1(X61,X62) ) )
| ~ r1(X60,X61) )
| p2(X60) )
| ~ r1(X59,X60) )
| p2(X59) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56) )
| ~ r1(X55,X56) )
| p2(X55) )
| ~ r1(X54,X55) )
| p2(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p2(X52) )
| ~ r1(X0,X52) )
| p2(X0)
| ~ ! [X68] :
( ~ ( ~ ! [X69] :
( ~ ! [X70] :
( ~ ! [X71] :
( ~ ( ~ ! [X72] :
( ~ ( ~ ! [X73] :
( ~ ! [X74] :
( ~ ! [X75] :
( ~ ( ~ ! [X76] :
( ~ ( ~ ! [X77] :
( ~ ( ~ p1(X77)
& ~ ! [X78] :
( ~ ! [X79] :
( ~ ! [X80] :
( ~ ( ~ ! [X81] :
( ~ ( ~ ! [X82] :
( ~ ( ~ ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83) )
| p2(X82) )
| ~ r1(X81,X82) )
| p2(X81) )
| ~ r1(X80,X81) )
| p2(X80) )
| ~ r1(X79,X80) )
| p2(X79)
| ~ r1(X78,X79) )
| ~ r1(X77,X78) ) )
| ~ r1(X76,X77) )
| p2(X76) )
| ~ r1(X75,X76) )
| p2(X75) )
| ~ r1(X74,X75) )
| p2(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p2(X72) )
| ~ r1(X71,X72) )
| p2(X71) )
| ~ r1(X70,X71) )
| p2(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| p2(X68) )
| ~ r1(X0,X68) )
| p2(X0)
| ~ ! [X84] :
( ~ ( ~ ! [X85] :
( ~ ! [X86] :
( ~ ! [X87] :
( ~ ( ~ ! [X88] :
( ~ ( ~ ! [X89] :
( ~ ! [X90] :
( ~ ! [X91] :
( ~ ( ~ ! [X92] :
( ~ ( ~ ! [X93] :
( ~ ( ~ p2(X93)
& ~ ! [X94] :
( ~ ! [X95] :
( ~ ! [X96] :
( ~ ( ~ ! [X97] :
( ~ ( ~ ! [X98] :
( ~ ( ~ ! [X99] :
( ~ p1(X99)
| ~ r1(X98,X99) )
| p2(X98) )
| ~ r1(X97,X98) )
| p2(X97) )
| ~ r1(X96,X97) )
| p2(X96) )
| ~ r1(X95,X96) )
| p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) ) )
| ~ r1(X92,X93) )
| p2(X92) )
| ~ r1(X91,X92) )
| p2(X91) )
| ~ r1(X90,X91) )
| p2(X90)
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| p2(X88) )
| ~ r1(X87,X88) )
| p2(X87) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X85,X86) )
| ~ r1(X84,X85) )
| p2(X84) )
| ~ r1(X0,X84) )
| p2(X0)
| ~ ! [X100] :
( ~ ( ~ ! [X101] :
( ~ ( ~ ! [X102] :
( ~ ! [X103] :
( ~ ! [X104] :
( ~ ( ~ ! [X105] :
( ~ ( ~ ! [X106] :
( ~ ! [X107] :
( ~ ! [X108] :
( ~ ( ~ ! [X109] :
( ~ ( ~ ! [X110] :
( ~ ! [X111] :
( ~ ! [X112] :
( ~ ( ~ ! [X113] :
( ~ ( ~ ! [X114] :
( ~ ( ~ p1(X114)
& ~ ! [X115] :
( ~ ! [X116] :
( ~ ! [X117] :
( ~ ( ~ ! [X118] :
( ~ ( ~ ! [X119] :
( ~ ( ~ ! [X120] :
( ~ p2(X120)
| ~ r1(X119,X120) )
| p2(X119) )
| ~ r1(X118,X119) )
| p2(X118) )
| ~ r1(X117,X118) )
| p2(X117) )
| ~ r1(X116,X117) )
| p2(X116)
| ~ r1(X115,X116) )
| ~ r1(X114,X115) ) )
| ~ r1(X113,X114) )
| p2(X113) )
| ~ r1(X112,X113) )
| p2(X112) )
| ~ r1(X111,X112) )
| p2(X111)
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| p2(X109) )
| ~ r1(X108,X109) )
| p2(X108) )
| ~ r1(X107,X108) )
| p2(X107)
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| p2(X105) )
| ~ r1(X104,X105) )
| p2(X104) )
| ~ r1(X103,X104) )
| p2(X103)
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| p2(X101) )
| ~ r1(X100,X101) )
| p2(X100) )
| ~ r1(X0,X100) )
| p2(X0)
| ~ ! [X121] :
( ~ ( ~ ! [X122] :
( ~ ( ~ ! [X123] :
( ~ ! [X124] :
( ~ ! [X125] :
( ~ ( ~ ! [X126] :
( ~ ( ~ ! [X127] :
( ~ ! [X128] :
( ~ ! [X129] :
( ~ ( ~ ! [X130] :
( ~ ( ~ ! [X131] :
( ~ ! [X132] :
( ~ ! [X133] :
( ~ ( ~ ! [X134] :
( ~ ( ~ ! [X135] :
( ~ ( ~ p1(X135)
& ~ ! [X136] :
( ~ ! [X137] :
( ~ ! [X138] :
( ~ ( ~ ! [X139] :
( ~ ( ~ ! [X140] :
( ~ ( ~ ! [X141] :
( ~ p1(X141)
| ~ r1(X140,X141) )
| p2(X140) )
| ~ r1(X139,X140) )
| p2(X139) )
| ~ r1(X138,X139) )
| p2(X138) )
| ~ r1(X137,X138) )
| p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
| ~ r1(X134,X135) )
| p2(X134) )
| ~ r1(X133,X134) )
| p2(X133) )
| ~ r1(X132,X133) )
| p2(X132)
| ~ r1(X131,X132) )
| ~ r1(X130,X131) )
| p2(X130) )
| ~ r1(X129,X130) )
| p2(X129) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| p2(X126) )
| ~ r1(X125,X126) )
| p2(X125) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| p2(X122) )
| ~ r1(X121,X122) )
| p2(X121) )
| ~ r1(X0,X121) )
| p2(X0)
| ~ ! [X142] :
( ~ ( ~ ! [X143] :
( ~ ( ~ ! [X144] :
( ~ ! [X145] :
( ~ ! [X146] :
( ~ ( ~ ! [X147] :
( ~ ( ~ ! [X148] :
( ~ ! [X149] :
( ~ ! [X150] :
( ~ ( ~ ! [X151] :
( ~ ( ~ ! [X152] :
( ~ ! [X153] :
( ~ ! [X154] :
( ~ ( ~ ! [X155] :
( ~ ( ~ ! [X156] :
( ~ ( ~ p2(X156)
& ~ ! [X157] :
( ~ ! [X158] :
( ~ ! [X159] :
( ~ ( ~ ! [X160] :
( ~ ( ~ ! [X161] :
( ~ ( ~ ! [X162] :
( ~ p1(X162)
| ~ r1(X161,X162) )
| p2(X161) )
| ~ r1(X160,X161) )
| p2(X160) )
| ~ r1(X159,X160) )
| p2(X159) )
| ~ r1(X158,X159) )
| p2(X158)
| ~ r1(X157,X158) )
| ~ r1(X156,X157) ) )
| ~ r1(X155,X156) )
| p2(X155) )
| ~ r1(X154,X155) )
| p2(X154) )
| ~ r1(X153,X154) )
| p2(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| p2(X151) )
| ~ r1(X150,X151) )
| p2(X150) )
| ~ r1(X149,X150) )
| p2(X149)
| ~ r1(X148,X149) )
| ~ r1(X147,X148) )
| p2(X147) )
| ~ r1(X146,X147) )
| p2(X146) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| p2(X143) )
| ~ r1(X142,X143) )
| p2(X142) )
| ~ r1(X0,X142) )
| p2(X0)
| ~ ! [X163] :
( ~ ( ~ ! [X164] :
( ~ ( ~ ! [X165] :
( ~ ( ~ ! [X166] :
( ~ ! [X167] :
( ~ ! [X168] :
( ~ ( ~ ! [X169] :
( ~ ( ~ ! [X170] :
( ~ ! [X171] :
( ~ ! [X172] :
( ~ ( ~ ! [X173] :
( ~ ( ~ ! [X174] :
( ~ ! [X175] :
( ~ ! [X176] :
( ~ ( ~ ! [X177] :
( ~ ( ~ ! [X178] :
( ~ ! [X179] :
( ~ ! [X180] :
( ~ ( ~ ! [X181] :
( ~ ( ~ ! [X182] :
( p1(X182)
| ~ r1(X181,X182) )
| p2(X181) )
| ~ r1(X180,X181) )
| p2(X180) )
| ~ r1(X179,X180) )
| p2(X179)
| ~ r1(X178,X179) )
| ~ r1(X177,X178) )
| p2(X177) )
| ~ r1(X176,X177) )
| p2(X176) )
| ~ r1(X175,X176) )
| p2(X175)
| ~ r1(X174,X175) )
| ~ r1(X173,X174) )
| p2(X173) )
| ~ r1(X172,X173) )
| p2(X172) )
| ~ r1(X171,X172) )
| p2(X171)
| ~ r1(X170,X171) )
| ~ r1(X169,X170) )
| p2(X169) )
| ~ r1(X168,X169) )
| p2(X168) )
| ~ r1(X167,X168) )
| p2(X167)
| ~ r1(X166,X167) )
| ~ r1(X165,X166) )
| p2(X165) )
| ~ r1(X164,X165) )
| p2(X164) )
| ~ r1(X163,X164) )
| p2(X163) )
| ~ r1(X0,X163) )
| p2(X0) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ( ~ p2(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p2(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p2(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p2(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( p1(X0)
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ( ~ p2(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p2(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p1(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ p2(X0)
& ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ p2(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1) )
| ~ r1(X0,X1) )
| p2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f10088,plain,
spl201_268,
inference(avatar_split_clause,[],[f10085,f2563]) ).
fof(f10085,plain,
sP11(sK153),
inference(resolution,[],[f10075,f7120]) ).
fof(f7120,plain,
sP12(sK153),
inference(resolution,[],[f7079,f850]) ).
fof(f850,plain,
sP13(sK153),
inference(resolution,[],[f714,f743]) ).
fof(f714,plain,
! [X16] :
( ~ r1(sK153,X16)
| sP13(X16) ),
inference(cnf_transformation,[],[f439]) ).
fof(f7079,plain,
! [X0] :
( ~ sP13(X0)
| sP12(X0) ),
inference(resolution,[],[f681,f743]) ).
fof(f681,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP12(X1)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f402]) ).
fof(f402,plain,
! [X0] :
( ! [X1] :
( ( sP12(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f401]) ).
fof(f401,plain,
! [X163] :
( ! [X164] :
( ( sP12(X164)
& ~ p2(X164) )
| ~ r1(X163,X164) )
| ~ sP13(X163) ),
inference(nnf_transformation,[],[f24]) ).
fof(f10075,plain,
! [X0] :
( ~ sP12(X0)
| sP11(X0) ),
inference(resolution,[],[f10040,f10004]) ).
fof(f10004,plain,
! [X0] :
( sP196(X0)
| sP11(X0) ),
inference(resolution,[],[f829,f743]) ).
fof(f829,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| sP11(X2)
| sP196(X1) ),
inference(cnf_transformation,[],[f829_D]) ).
fof(f829_D,plain,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| sP11(X2) )
<=> ~ sP196(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP196])]) ).
fof(f10040,plain,
! [X0] :
( ~ sP196(X0)
| ~ sP12(X0) ),
inference(resolution,[],[f830,f743]) ).
fof(f830,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP12(X0)
| ~ sP196(X1) ),
inference(general_splitting,[],[f683,f829_D]) ).
fof(f683,plain,
! [X2,X0,X1] :
( sP11(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( sP11(X2)
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ~ r1(X0,X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f403]) ).
fof(f403,plain,
! [X164] :
( ! [X165] :
( ( ! [X166] :
( sP11(X166)
| ~ r1(X165,X166) )
& ~ p2(X165) )
| ~ r1(X164,X165) )
| ~ sP12(X164) ),
inference(nnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : LCL680+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.11 % Command : run_vampire %s %d THM
% 0.11/0.30 % Computer : n021.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Jun 22 13:35:24 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.17/0.32 This is a FOF_THM_RFO_NEQ problem
% 0.17/0.32 Running first-order theorem proving
% 0.17/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31609)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31610)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31612)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31611)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31608)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.17/0.39 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (31613)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.17/0.40 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (31607)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.17/0.42 % (31611)Instruction limit reached!
% 0.17/0.42 % (31611)------------------------------
% 0.17/0.42 % (31611)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.42 % (31611)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.42 % (31611)Termination reason: Time limit
% 0.17/0.42 % (31611)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (31611)Memory used [KB]: 1868
% 0.17/0.42 % (31611)Time elapsed: 0.037 s
% 0.17/0.42 % (31611)Instructions burned: 109 (million)
% 0.17/0.43 % (31613)Instruction limit reached!
% 0.17/0.43 % (31613)------------------------------
% 0.17/0.43 % (31613)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.43 % (31613)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.43 % (31613)Termination reason: Time limit
% 0.17/0.43 % (31613)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (31613)Memory used [KB]: 1850
% 0.17/0.43 % (31613)Time elapsed: 0.044 s
% 0.17/0.43 % (31613)Instructions burned: 105 (million)
% 0.17/0.44 % (31610)Instruction limit reached!
% 0.17/0.44 % (31610)------------------------------
% 0.17/0.44 % (31610)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.44 % (31610)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.44 % (31610)Termination reason: Time limit
% 0.17/0.44 % (31610)Termination phase: Saturation
% 0.17/0.44 % (31612)Instruction limit reached!
% 0.17/0.44 % (31612)------------------------------
% 0.17/0.44 % (31612)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.44 % (31612)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.44 % (31612)Termination reason: Time limit
% 0.17/0.44 % (31612)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (31612)Memory used [KB]: 1908
% 0.17/0.44 % (31612)Time elapsed: 0.055 s
% 0.17/0.44 % (31612)Instructions burned: 117 (million)
% 0.17/0.44
% 0.17/0.44 % (31610)Memory used [KB]: 4071
% 0.17/0.44 % (31610)Time elapsed: 0.055 s
% 0.17/0.44 % (31610)Instructions burned: 104 (million)
% 0.17/0.46 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.46 % (31614)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 0.17/0.47 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.47 % (31615)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/319Mi)
% 0.17/0.48 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.48 % (31616)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 0.17/0.48 % (31614)Instruction limit reached!
% 0.17/0.48 % (31614)------------------------------
% 0.17/0.48 % (31614)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.48 % (31614)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.48 % (31614)Termination reason: Time limit
% 0.17/0.48 % (31614)Termination phase: Saturation
% 0.17/0.48
% 0.17/0.48 % (31614)Memory used [KB]: 2420
% 0.17/0.48 % (31614)Time elapsed: 0.030 s
% 0.17/0.48 % (31614)Instructions burned: 110 (million)
% 0.17/0.49 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.49 % (31617)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 0.17/0.52 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.52 % (31618)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 0.17/0.52 % (31616)Instruction limit reached!
% 0.17/0.52 % (31616)------------------------------
% 0.17/0.52 % (31616)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.52 % (31616)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.52 % (31616)Termination reason: Time limit
% 0.17/0.52 % (31616)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (31616)Memory used [KB]: 3734
% 0.17/0.52 % (31616)Time elapsed: 0.057 s
% 0.17/0.52 % (31616)Instructions burned: 122 (million)
% 0.17/0.54 % (31615)Instruction limit reached!
% 0.17/0.54 % (31615)------------------------------
% 0.17/0.54 % (31615)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.54 % (31615)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.54 % (31615)Termination reason: Time limit
% 0.17/0.54 % (31615)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (31615)Memory used [KB]: 2394
% 0.17/0.54 % (31615)Time elapsed: 0.070 s
% 0.17/0.54 % (31615)Instructions burned: 322 (million)
% 0.17/0.55 % (31606)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.55 % (31619)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2998ds/119Mi)
% 1.65/0.56 % (31618)Instruction limit reached!
% 1.65/0.56 % (31618)------------------------------
% 1.65/0.56 % (31618)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.65/0.56 % (31618)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.65/0.56 % (31618)Termination reason: Time limit
% 1.65/0.56 % (31618)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (31618)Memory used [KB]: 2327
% 1.65/0.56 % (31618)Time elapsed: 0.068 s
% 1.65/0.56 % (31618)Instructions burned: 233 (million)
% 1.65/0.57 % (31606)Running in auto input_syntax mode. Trying TPTP
% 1.65/0.57 % (31620)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2998ds/113Mi)
% 1.78/0.59 % (31619)Instruction limit reached!
% 1.78/0.59 % (31619)------------------------------
% 1.78/0.59 % (31619)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.59 % (31619)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.59 % (31619)Termination reason: Time limit
% 1.78/0.59 % (31619)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (31619)Memory used [KB]: 4175
% 1.78/0.59 % (31619)Time elapsed: 0.057 s
% 1.78/0.59 % (31619)Instructions burned: 121 (million)
% 1.78/0.59 % (31606)Running in auto input_syntax mode. Trying TPTP
% 1.78/0.59 % (31621)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2997ds/128Mi)
% 1.78/0.60 % (31617)Instruction limit reached!
% 1.78/0.60 % (31617)------------------------------
% 1.78/0.60 % (31617)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.60 % (31617)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.60 % (31617)Termination reason: Time limit
% 1.78/0.60 % (31617)Termination phase: Saturation
% 1.78/0.60
% 1.78/0.60 % (31617)Memory used [KB]: 2321
% 1.78/0.60 % (31617)Time elapsed: 0.135 s
% 1.78/0.60 % (31617)Instructions burned: 440 (million)
% 1.78/0.60 % (31620)Instruction limit reached!
% 1.78/0.60 % (31620)------------------------------
% 1.78/0.60 % (31620)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.60 % (31620)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.60 % (31620)Termination reason: Time limit
% 1.78/0.60 % (31620)Termination phase: Saturation
% 1.78/0.60
% 1.78/0.60 % (31620)Memory used [KB]: 2399
% 1.78/0.60 % (31620)Time elapsed: 0.055 s
% 1.78/0.60 % (31620)Instructions burned: 113 (million)
% 1.78/0.62 % (31606)Running in auto input_syntax mode. Trying TPTP
% 1.78/0.62 % (31622)lrs+4_1:8_sil=32000:abs=on:nwc=5.0:updr=off:i=963:nm=6:plsq=on:plsql=on:plsqc=1:plsqr=2,1_0 on theBenchmark for (2997ds/963Mi)
% 1.78/0.62 % (31621)Instruction limit reached!
% 1.78/0.62 % (31621)------------------------------
% 1.78/0.62 % (31621)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.62 % (31621)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.62 % (31621)Termination reason: Time limit
% 1.78/0.62 % (31621)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (31621)Memory used [KB]: 2668
% 1.78/0.62 % (31621)Time elapsed: 0.051 s
% 1.78/0.62 % (31621)Instructions burned: 132 (million)
% 2.10/0.63 % (31606)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.63 % (31623)dis+1002_1:128_to=lpo:sil=2000:fd=preordered:i=204:fsr=off:av=off:sos=on:s2a=on_0 on theBenchmark for (2997ds/204Mi)
% 2.10/0.64 % (31606)Running in auto input_syntax mode. Trying TPTP
% 2.10/0.64 % (31624)lrs+1011_1:1_sil=2000:plsq=on:plsqr=32,1:fs=off:gs=on:i=516:nm=0:fsr=off:rawr=on:nwc=0.5744209687727792_0 on theBenchmark for (2997ds/516Mi)
% 2.16/0.65 % (31606)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.65 % (31625)lrs+21_9739:1048576_drc=off:sil=128000:tgt=ground:spb=non_intro:s2a=on:i=1028:s2at=2.0:kws=precedence:sp=reverse_arity:awrs=decay:awrsf=270_0 on theBenchmark for (2996ds/1028Mi)
% 2.16/0.69 % (31623)Instruction limit reached!
% 2.16/0.69 % (31623)------------------------------
% 2.16/0.69 % (31623)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.69 % (31623)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.69 % (31623)Termination reason: Time limit
% 2.16/0.69 % (31623)Termination phase: Saturation
% 2.16/0.69
% 2.16/0.69 % (31623)Memory used [KB]: 2732
% 2.16/0.69 % (31623)Time elapsed: 0.055 s
% 2.16/0.69 % (31623)Instructions burned: 206 (million)
% 2.46/0.72 % (31606)Running in auto input_syntax mode. Trying TPTP
% 2.46/0.72 % (31626)ott-1011_3:2_to=lpo:drc=off:sil=2000:sims=off:sos=on:lma=on:spb=goal_then_units:lcm=predicate:fd=preordered:rp=on:newcnf=on:avsq=on:i=340:ins=1:fsr=off:avsqc=4:aac=none:plsq=on:plsqc=1:plsqr=32,1:fs=off_0 on theBenchmark for (2996ds/340Mi)
% 2.59/0.77 % (31624)Instruction limit reached!
% 2.59/0.77 % (31624)------------------------------
% 2.59/0.77 % (31624)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.59/0.77 % (31624)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.59/0.77 % (31624)Termination reason: Time limit
% 2.59/0.77 % (31624)Termination phase: Saturation
% 2.59/0.77
% 2.59/0.77 % (31624)Memory used [KB]: 10377
% 2.59/0.77 % (31624)Time elapsed: 0.132 s
% 2.59/0.77 % (31624)Instructions burned: 516 (million)
% 2.59/0.80 % (31606)Running in auto input_syntax mode. Trying TPTP
% 2.59/0.80 % (31627)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=225:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2995ds/225Mi)
% 2.59/0.81 % (31626)Instruction limit reached!
% 2.59/0.81 % (31626)------------------------------
% 2.59/0.81 % (31626)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.59/0.81 % (31626)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.59/0.81 % (31626)Termination reason: Time limit
% 2.59/0.81 % (31626)Termination phase: Saturation
% 2.59/0.81
% 2.59/0.81 % (31626)Memory used [KB]: 7023
% 2.59/0.81 % (31626)Time elapsed: 0.095 s
% 2.59/0.81 % (31626)Instructions burned: 342 (million)
% 3.12/0.85 % (31606)Running in auto input_syntax mode. Trying TPTP
% 3.12/0.85 % (31628)dis+1011_1:1_bsr=unit_only:slsqr=1,2:sil=2000:plsqc=1:plsq=on:plsqr=32,1:lsd=20:plsql=on:slsqc=1:slsq=on:i=732:slsql=off:nm=2:uhcvi=on:rawr=on:fsr=off:avsq=on:avsqr=9387,262144_0 on theBenchmark for (2995ds/732Mi)
% 3.12/0.85 % (31627)Instruction limit reached!
% 3.12/0.85 % (31627)------------------------------
% 3.12/0.85 % (31627)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.12/0.85 % (31627)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.12/0.85 % (31627)Termination reason: Time limit
% 3.12/0.85 % (31627)Termination phase: Saturation
% 3.12/0.85
% 3.12/0.85 % (31627)Memory used [KB]: 2536
% 3.12/0.85 % (31627)Time elapsed: 0.052 s
% 3.12/0.85 % (31627)Instructions burned: 226 (million)
% 3.30/0.89 % (31606)Running in auto input_syntax mode. Trying TPTP
% 3.30/0.89 % (31629)dis+1011_3:1_sil=64000:lsd=10:slsq=on:s2a=on:i=231:ep=RS:nm=2:ss=axioms_0 on theBenchmark for (2994ds/231Mi)
% 3.30/0.90 % (31622)Instruction limit reached!
% 3.30/0.90 % (31622)------------------------------
% 3.30/0.90 % (31622)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.30/0.90 % (31622)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.30/0.90 % (31622)Termination reason: Time limit
% 3.30/0.90 % (31622)Termination phase: Saturation
% 3.30/0.90
% 3.30/0.90 % (31622)Memory used [KB]: 8783
% 3.30/0.90 % (31622)Time elapsed: 0.303 s
% 3.30/0.90 % (31622)Instructions burned: 966 (million)
% 3.30/0.92 % (31625)Instruction limit reached!
% 3.30/0.92 % (31625)------------------------------
% 3.30/0.92 % (31625)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.30/0.92 % (31625)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.30/0.92 % (31625)Termination reason: Time limit
% 3.30/0.92 % (31625)Termination phase: Saturation
% 3.30/0.92
% 3.30/0.92 % (31625)Memory used [KB]: 9965
% 3.30/0.92 % (31625)Time elapsed: 0.265 s
% 3.30/0.92 % (31625)Instructions burned: 1028 (million)
% 4.08/0.93 % (31606)Running in auto input_syntax mode. Trying TPTP
% 4.08/0.93 % (31630)lrs-32_1:1024_sil=8000:sos=on:i=752:nm=4:updr=off_0 on theBenchmark for (2994ds/752Mi)
% 4.08/0.95 % (31629)Instruction limit reached!
% 4.08/0.95 % (31629)------------------------------
% 4.08/0.95 % (31629)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.08/0.95 % (31629)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.08/0.95 % (31629)Termination reason: Time limit
% 4.08/0.95 % (31629)Termination phase: Saturation
% 4.08/0.95
% 4.08/0.95 % (31629)Memory used [KB]: 3818
% 4.08/0.95 % (31629)Time elapsed: 0.067 s
% 4.08/0.95 % (31629)Instructions burned: 233 (million)
% 4.15/0.95 % (31606)Running in auto input_syntax mode. Trying TPTP
% 4.15/0.95 % (31631)lrs+10_1:2_sil=2000:spb=units:nwc=10.0:flr=on:i=1025:fsr=off:ss=axioms_0 on theBenchmark for (2994ds/1025Mi)
% 4.15/0.98 % (31606)Running in auto input_syntax mode. Trying TPTP
% 4.15/0.98 % (31632)lrs+1011_1:128_bsr=unit_only:sil=4000:plsq=on:plsqr=27,2:lsd=5:plsql=on:nwc=3.0:i=1583:rawr=on_0 on theBenchmark for (2993ds/1583Mi)
% 4.15/0.99 % (31628)Instruction limit reached!
% 4.15/0.99 % (31628)------------------------------
% 4.15/0.99 % (31628)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.15/0.99 % (31628)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.15/0.99 % (31628)Termination reason: Time limit
% 4.15/0.99 % (31628)Termination phase: Saturation
% 4.15/0.99
% 4.15/0.99 % (31628)Memory used [KB]: 4101
% 4.15/0.99 % (31628)Time elapsed: 0.149 s
% 4.15/0.99 % (31628)Instructions burned: 733 (million)
% 4.62/1.03 % (31606)Running in auto input_syntax mode. Trying TPTP
% 4.62/1.03 % (31634)lrs+1010_1:8_sil=4000:sos=on:urr=on:rnwc=on:nwc=10.0:i=398:sup=off:kws=frequency_0 on theBenchmark for (2993ds/398Mi)
% 5.27/1.08 % (31630)Instruction limit reached!
% 5.27/1.08 % (31630)------------------------------
% 5.27/1.08 % (31630)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.27/1.08 % (31630)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.27/1.08 % (31630)Termination reason: Time limit
% 5.27/1.08 % (31630)Termination phase: Saturation
% 5.27/1.08
% 5.27/1.08 % (31630)Memory used [KB]: 4580
% 5.27/1.08 % (31630)Time elapsed: 0.151 s
% 5.27/1.08 % (31630)Instructions burned: 755 (million)
% 5.27/1.12 % (31606)Running in auto input_syntax mode. Trying TPTP
% 5.27/1.12 % (31635)dis+1002_1:85_sil=4000:nwc=10.0:i=404:s2at=2.0:av=off:slsq=on:slsqc=2:fsr=off_0 on theBenchmark for (2992ds/404Mi)
% 5.27/1.12 % (31634)Instruction limit reached!
% 5.27/1.12 % (31634)------------------------------
% 5.27/1.12 % (31634)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.27/1.12 % (31634)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.27/1.12 % (31634)Termination reason: Time limit
% 5.27/1.12 % (31634)Termination phase: Saturation
% 5.27/1.12
% 5.27/1.12 % (31634)Memory used [KB]: 2116
% 5.27/1.12 % (31634)Time elapsed: 0.095 s
% 5.27/1.12 % (31634)Instructions burned: 400 (million)
% 5.72/1.15 % (31606)Running in auto input_syntax mode. Trying TPTP
% 5.72/1.15 % (31636)lrs+1010_1:32_bsr=on:sil=4000:i=483:nm=2:gsp=on_0 on theBenchmark for (2992ds/483Mi)
% 5.90/1.20 % (31631)Instruction limit reached!
% 5.90/1.20 % (31631)------------------------------
% 5.90/1.20 % (31631)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.90/1.20 % (31631)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.90/1.20 % (31631)Termination reason: Time limit
% 5.90/1.20 % (31631)Termination phase: Saturation
% 5.90/1.20
% 5.90/1.20 % (31631)Memory used [KB]: 10012
% 5.90/1.20 % (31631)Time elapsed: 0.248 s
% 5.90/1.20 % (31631)Instructions burned: 1025 (million)
% 5.90/1.21 % (31635)Instruction limit reached!
% 5.90/1.21 % (31635)------------------------------
% 5.90/1.21 % (31635)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.90/1.21 % (31635)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.90/1.21 % (31635)Termination reason: Time limit
% 5.90/1.21 % (31635)Termination phase: Saturation
% 5.90/1.21
% 5.90/1.21 % (31635)Memory used [KB]: 3728
% 5.90/1.21 % (31635)Time elapsed: 0.098 s
% 5.90/1.21 % (31635)Instructions burned: 407 (million)
% 6.21/1.23 % (31606)Running in auto input_syntax mode. Trying TPTP
% 6.21/1.23 % (31637)lrs+1011_4:1_sil=2000:sp=const_max:sos=on:bce=on:avsq=on:i=499:sd=4:kws=inv_frequency:avsqr=1,16:nm=2:ss=axioms:uhcvi=on:fs=off:fsr=off:s2a=on:etr=on:anc=none:avsqc=5_0 on theBenchmark for (2991ds/499Mi)
% 6.26/1.24 % (31637)Refutation not found, incomplete strategy% (31637)------------------------------
% 6.26/1.24 % (31637)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.26/1.24 % (31637)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.26/1.24 % (31637)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.24
% 6.26/1.24 % (31637)Memory used [KB]: 1933
% 6.26/1.24 % (31637)Time elapsed: 0.007 s
% 6.26/1.24 % (31637)Instructions burned: 22 (million)
% 6.26/1.24 % (31637)------------------------------
% 6.26/1.24 % (31637)------------------------------
% 6.26/1.24 % (31606)Running in auto input_syntax mode. Trying TPTP
% 6.26/1.24 % (31638)dis+11_1:64_bsr=unit_only:to=lpo:sil=16000:sp=frequency:flr=on:cond=on:i=560:awrs=converge:awrsf=200:rawr=on:sup=off:abs=on_0 on theBenchmark for (2991ds/560Mi)
% 6.26/1.25 % (31636)First to succeed.
% 6.26/1.25 % (31636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31606"
% 6.26/1.25 % (31606)Running in auto input_syntax mode. Trying TPTP
% 6.26/1.25 % (31636)Refutation found. Thanks to Tanya!
% 6.26/1.25 % SZS status Theorem for theBenchmark
% 6.26/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.26 % (31636)------------------------------
% 6.26/1.26 % (31636)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.26/1.26 % (31636)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.26/1.26 % (31636)Termination reason: Refutation
% 6.26/1.26
% 6.26/1.26 % (31636)Memory used [KB]: 6502
% 6.26/1.26 % (31636)Time elapsed: 0.100 s
% 6.26/1.26 % (31636)Instructions burned: 355 (million)
% 6.26/1.26 % (31636)------------------------------
% 6.26/1.26 % (31636)------------------------------
% 6.26/1.26 % (31606)Success in time 0.926 s
%------------------------------------------------------------------------------