TSTP Solution File: SYO606+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:48:37 EDT 2022
% Result : Theorem 1.41s 0.56s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 67
% Syntax : Number of formulae : 306 ( 1 unt; 0 def)
% Number of atoms : 1302 ( 0 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 1694 ( 698 ~; 728 |; 203 &)
% ( 48 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 42 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 629 ( 454 !; 175 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f685,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f135,f148,f156,f160,f175,f180,f184,f188,f200,f205,f209,f221,f225,f229,f230,f231,f297,f334,f352,f354,f364,f365,f376,f401,f408,f411,f431,f444,f445,f448,f457,f459,f466,f483,f485,f500,f507,f510,f529,f531,f558,f564,f565,f568,f587,f591,f636,f644,f645,f676,f681,f684]) ).
fof(f684,plain,
( ~ spl23_43
| ~ spl23_56 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl23_43
| ~ spl23_56 ),
inference(subsumption_resolution,[],[f675,f523]) ).
fof(f523,plain,
( ! [X2] : ~ g_true_only(sK6,X2)
| ~ spl23_43 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl23_43
<=> ! [X2] : ~ g_true_only(sK6,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f675,plain,
( g_true_only(sK6,sK10(sK6))
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl23_56
<=> g_true_only(sK6,sK10(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
fof(f681,plain,
( ~ spl23_7
| ~ spl23_55 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl23_7
| ~ spl23_55 ),
inference(resolution,[],[f671,f147]) ).
fof(f147,plain,
( g_both(sK6,sK7)
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl23_7
<=> g_both(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f671,plain,
( ! [X2] : ~ g_both(sK6,X2)
| ~ spl23_55 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl23_55
<=> ! [X2] : ~ g_both(sK6,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f676,plain,
( spl23_55
| spl23_56
| ~ spl23_16
| ~ spl23_25 ),
inference(avatar_split_clause,[],[f667,f219,f182,f673,f670]) ).
fof(f182,plain,
( spl23_16
<=> ! [X0,X3] :
( g_true_only(X0,sK10(X0))
| ~ g_both(X0,X3)
| ~ h_false_only(X0,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f219,plain,
( spl23_25
<=> ! [X2] : h_false_only(sK6,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f667,plain,
( ! [X2] :
( g_true_only(sK6,sK10(sK6))
| ~ g_both(sK6,X2) )
| ~ spl23_16
| ~ spl23_25 ),
inference(resolution,[],[f220,f183]) ).
fof(f183,plain,
( ! [X3,X0] :
( ~ h_false_only(X0,sK9(X0))
| g_true_only(X0,sK10(X0))
| ~ g_both(X0,X3) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f220,plain,
( ! [X2] : h_false_only(sK6,X2)
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f645,plain,
( spl23_32
| ~ spl23_27
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f641,f634,f227,f305]) ).
fof(f305,plain,
( spl23_32
<=> ! [X7] : ~ g_both(sK19,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f227,plain,
( spl23_27
<=> ! [X11,X10] :
( ~ g_both(X10,X11)
| ~ h_false_only(X10,sK18(X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f634,plain,
( spl23_52
<=> ! [X5] : h_false_only(sK19,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f641,plain,
( ! [X4] : ~ g_both(sK19,X4)
| ~ spl23_27
| ~ spl23_52 ),
inference(resolution,[],[f635,f228]) ).
fof(f228,plain,
( ! [X10,X11] :
( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_both(X10,X11) )
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f635,plain,
( ! [X5] : h_false_only(sK19,X5)
| ~ spl23_52 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f644,plain,
( spl23_32
| ~ spl23_16
| ~ spl23_28
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f643,f634,f273,f182,f305]) ).
fof(f273,plain,
( spl23_28
<=> ! [X1] : ~ g_true_only(sK19,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f643,plain,
( ! [X2] : ~ g_both(sK19,X2)
| ~ spl23_16
| ~ spl23_28
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f639,f274]) ).
fof(f274,plain,
( ! [X1] : ~ g_true_only(sK19,X1)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f639,plain,
( ! [X2] :
( g_true_only(sK19,sK10(sK19))
| ~ g_both(sK19,X2) )
| ~ spl23_16
| ~ spl23_52 ),
inference(resolution,[],[f635,f183]) ).
fof(f636,plain,
( spl23_32
| spl23_29
| spl23_52
| ~ spl23_2
| ~ spl23_8
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f632,f273,f150,f125,f634,f276,f305]) ).
fof(f276,plain,
( spl23_29
<=> ! [X0] : ~ h_both(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f125,plain,
( spl23_2
<=> ! [X0,X5,X2,X1] :
( h_true_only(X0,sK4(X0,X1))
| g_true_only(X0,sK5(X0))
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| h_false_only(X0,X5)
| ~ h_both(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f150,plain,
( spl23_8
<=> ! [X15] : ~ h_true_only(sK19,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f632,plain,
( ! [X6,X4,X5] :
( h_false_only(sK19,X5)
| ~ h_both(sK19,X4)
| ~ g_both(sK19,X6) )
| ~ spl23_2
| ~ spl23_8
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f630,f274]) ).
fof(f630,plain,
( ! [X6,X4,X5] :
( g_true_only(sK19,sK5(sK19))
| h_false_only(sK19,X5)
| ~ h_both(sK19,X4)
| ~ g_both(sK19,X6) )
| ~ spl23_2
| ~ spl23_8 ),
inference(resolution,[],[f602,f151]) ).
fof(f151,plain,
( ! [X15] : ~ h_true_only(sK19,X15)
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f602,plain,
( ! [X2,X0,X1,X5] :
( h_true_only(X0,sK4(X0,X1))
| ~ h_both(X0,X2)
| h_false_only(X0,X5)
| ~ g_both(X0,X1)
| g_true_only(X0,sK5(X0)) )
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f126,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(resolution,[],[f103,f100]) ).
fof(f100,plain,
! [X0,X1] :
( g_true(X1,X0)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( g_both(X1,X0)
| ~ g_false(X1,X0)
| ~ g_true(X1,X0) )
& ( ( g_false(X1,X0)
& g_true(X1,X0) )
| ~ g_both(X1,X0) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3,X4] :
( ( g_true(X3,X4)
& g_false(X3,X4) )
<=> g_both(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f103,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| ~ g_false(X0,X1)
| g_true(X0,X1) )
& ( ( g_false(X0,X1)
& ~ g_true(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( g_false_only(X1,X0)
| ~ g_false(X1,X0)
| g_true(X1,X0) )
& ( ( g_false(X1,X0)
& ~ g_true(X1,X0) )
| ~ g_false_only(X1,X0) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( g_false_only(X1,X0)
| ~ g_false(X1,X0)
| g_true(X1,X0) )
& ( ( g_false(X1,X0)
& ~ g_true(X1,X0) )
| ~ g_false_only(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( g_false_only(X1,X0)
<=> ( g_false(X1,X0)
& ~ g_true(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X3] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f126,plain,
( ! [X2,X0,X1,X5] :
( g_true_only(X0,sK5(X0))
| h_true_only(X0,sK4(X0,X1))
| ~ g_both(X0,X1)
| h_false_only(X0,X5)
| g_false_only(X0,X1)
| ~ h_both(X0,X2) )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f591,plain,
( spl23_43
| ~ spl23_10
| ~ spl23_24
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f590,f585,f215,f158,f522]) ).
fof(f158,plain,
( spl23_10
<=> ! [X0,X7] :
( ~ h_false_only(X0,sK11(X0))
| ~ g_true_only(X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f215,plain,
( spl23_24
<=> ! [X2] :
( h_both(sK6,X2)
| h_false_only(sK6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f585,plain,
( spl23_48
<=> ! [X0] : ~ h_both(sK6,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f590,plain,
( ! [X0] : ~ g_true_only(sK6,X0)
| ~ spl23_10
| ~ spl23_24
| ~ spl23_48 ),
inference(subsumption_resolution,[],[f588,f578]) ).
fof(f578,plain,
( ! [X1] : ~ h_true_only(sK6,X1)
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f574,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ h_both(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(resolution,[],[f110,f106]) ).
fof(f106,plain,
! [X0,X1] :
( h_false(X1,X0)
| ~ h_both(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( h_both(X1,X0)
| ~ h_true(X1,X0)
| ~ h_false(X1,X0) )
& ( ( h_true(X1,X0)
& h_false(X1,X0) )
| ~ h_both(X1,X0) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( h_both(X0,X1)
| ~ h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ( h_both(X0,X1)
| ~ h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( h_both(X0,X1)
<=> ( h_true(X0,X1)
& h_false(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ( h_true(X3,X4)
& h_false(X3,X4) )
<=> h_both(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_h) ).
fof(f110,plain,
! [X0,X1] :
( ~ h_false(X1,X0)
| ~ h_true_only(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( h_true(X1,X0)
& ~ h_false(X1,X0) )
| ~ h_true_only(X1,X0) )
& ( h_true_only(X1,X0)
| ~ h_true(X1,X0)
| h_false(X1,X0) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ( h_true(X1,X0)
& ~ h_false(X1,X0) )
| ~ h_true_only(X1,X0) )
& ( h_true_only(X1,X0)
| ~ h_true(X1,X0)
| h_false(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( h_true(X1,X0)
& ~ h_false(X1,X0) )
<=> h_true_only(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X3] :
( ( h_true(X3,X4)
& ~ h_false(X3,X4) )
<=> h_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_h) ).
fof(f574,plain,
( ! [X1] :
( ~ h_true_only(sK6,X1)
| h_both(sK6,X1) )
| ~ spl23_24 ),
inference(resolution,[],[f216,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ h_false_only(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(resolution,[],[f113,f111]) ).
fof(f111,plain,
! [X0,X1] :
( h_true(X1,X0)
| ~ h_true_only(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X0,X1] :
( ~ h_true(X1,X0)
| ~ h_false_only(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( h_false(X1,X0)
& ~ h_true(X1,X0) )
| ~ h_false_only(X1,X0) )
& ( h_false_only(X1,X0)
| ~ h_false(X1,X0)
| h_true(X1,X0) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( h_false(X1,X0)
& ~ h_true(X1,X0) )
| ~ h_false_only(X1,X0) )
& ( h_false_only(X1,X0)
| ~ h_false(X1,X0)
| h_true(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( h_false(X1,X0)
& ~ h_true(X1,X0) )
<=> h_false_only(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3] :
( h_false_only(X3,X4)
<=> ( h_false(X3,X4)
& ~ h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_h) ).
fof(f216,plain,
( ! [X2] :
( h_false_only(sK6,X2)
| h_both(sK6,X2) )
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f588,plain,
( ! [X0] :
( h_true_only(sK6,sK11(sK6))
| ~ g_true_only(sK6,X0) )
| ~ spl23_10
| ~ spl23_48 ),
inference(resolution,[],[f586,f249]) ).
fof(f249,plain,
( ! [X4,X5] :
( h_both(X4,sK11(X4))
| h_true_only(X4,sK11(X4))
| ~ g_true_only(X4,X5) )
| ~ spl23_10 ),
inference(resolution,[],[f75,f159]) ).
fof(f159,plain,
( ! [X0,X7] :
( ~ h_false_only(X0,sK11(X0))
| ~ g_true_only(X0,X7) )
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f75,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_true_only(X0,X1)
| h_both(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( h_both(X0,X1)
| h_true_only(X0,X1)
| h_false_only(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( h_both(X1,X0)
| h_true_only(X1,X0)
| h_false_only(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X4,X3] :
( h_both(X3,X4)
| h_true_only(X3,X4)
| h_false_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_h) ).
fof(f586,plain,
( ! [X0] : ~ h_both(sK6,X0)
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( spl23_43
| spl23_48
| ~ spl23_22
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f582,f215,f207,f585,f522]) ).
fof(f207,plain,
( spl23_22
<=> ! [X6,X0,X7] :
( ~ h_both(X0,X6)
| ~ g_true_only(X0,X7)
| h_true_only(X0,sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ h_both(sK6,X0)
| ~ g_true_only(sK6,X1) )
| ~ spl23_22
| ~ spl23_24 ),
inference(resolution,[],[f578,f208]) ).
fof(f208,plain,
( ! [X0,X6,X7] :
( h_true_only(X0,sK12(X0))
| ~ h_both(X0,X6)
| ~ g_true_only(X0,X7) )
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f568,plain,
( spl23_42
| spl23_41
| ~ spl23_22
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f566,f223,f207,f474,f477]) ).
fof(f477,plain,
( spl23_42
<=> ! [X1] : ~ g_true_only(sK13,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f474,plain,
( spl23_41
<=> ! [X0] : ~ h_both(sK13,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
fof(f223,plain,
( spl23_26
<=> ! [X3] : ~ h_true_only(sK13,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f566,plain,
( ! [X0,X1] :
( ~ h_both(sK13,X0)
| ~ g_true_only(sK13,X1) )
| ~ spl23_22
| ~ spl23_26 ),
inference(resolution,[],[f224,f208]) ).
fof(f224,plain,
( ! [X3] : ~ h_true_only(sK13,X3)
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f565,plain,
( spl23_36
| ~ spl23_27
| ~ spl23_46 ),
inference(avatar_split_clause,[],[f562,f556,f227,f367]) ).
fof(f367,plain,
( spl23_36
<=> ! [X3] : ~ g_both(sK21,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f556,plain,
( spl23_46
<=> ! [X8] : h_false_only(sK21,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
fof(f562,plain,
( ! [X3] : ~ g_both(sK21,X3)
| ~ spl23_27
| ~ spl23_46 ),
inference(resolution,[],[f557,f228]) ).
fof(f557,plain,
( ! [X8] : h_false_only(sK21,X8)
| ~ spl23_46 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f564,plain,
( spl23_30
| ~ spl23_46 ),
inference(avatar_split_clause,[],[f559,f556,f281]) ).
fof(f281,plain,
( spl23_30
<=> ! [X0] : ~ h_both(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f559,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_46 ),
inference(resolution,[],[f557,f235]) ).
fof(f235,plain,
! [X2,X3] :
( ~ h_false_only(X2,X3)
| ~ h_both(X2,X3) ),
inference(resolution,[],[f113,f107]) ).
fof(f107,plain,
! [X0,X1] :
( h_true(X1,X0)
| ~ h_both(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f558,plain,
( spl23_30
| spl23_46
| spl23_36
| ~ spl23_2
| ~ spl23_20
| ~ spl23_31 ),
inference(avatar_split_clause,[],[f554,f284,f198,f125,f367,f556,f281]) ).
fof(f198,plain,
( spl23_20
<=> ! [X18] : ~ h_true_only(sK21,X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f284,plain,
( spl23_31
<=> ! [X1] : ~ g_true_only(sK21,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f554,plain,
( ! [X8,X9,X7] :
( ~ g_both(sK21,X9)
| h_false_only(sK21,X8)
| ~ h_both(sK21,X7) )
| ~ spl23_2
| ~ spl23_20
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f553,f285]) ).
fof(f285,plain,
( ! [X1] : ~ g_true_only(sK21,X1)
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f553,plain,
( ! [X8,X9,X7] :
( ~ g_both(sK21,X9)
| g_true_only(sK21,sK5(sK21))
| h_false_only(sK21,X8)
| ~ h_both(sK21,X7) )
| ~ spl23_2
| ~ spl23_20 ),
inference(resolution,[],[f532,f199]) ).
fof(f199,plain,
( ! [X18] : ~ h_true_only(sK21,X18)
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f532,plain,
( ! [X2,X0,X1,X5] :
( h_true_only(X0,sK4(X0,X1))
| ~ h_both(X0,X2)
| g_true_only(X0,sK5(X0))
| h_false_only(X0,X5)
| ~ g_both(X0,X1) )
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f126,f232]) ).
fof(f531,plain,
( ~ spl23_6
| ~ spl23_43 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| ~ spl23_6
| ~ spl23_43 ),
inference(resolution,[],[f523,f143]) ).
fof(f143,plain,
( g_true_only(sK6,sK7)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl23_6
<=> g_true_only(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f529,plain,
( spl23_43
| ~ spl23_3
| ~ spl23_17
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f519,f215,f186,f129,f522]) ).
fof(f129,plain,
( spl23_3
<=> ! [X11,X10] :
( ~ h_both(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f186,plain,
( spl23_17
<=> ! [X11,X10] :
( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f519,plain,
( ! [X4] : ~ g_true_only(sK6,X4)
| ~ spl23_3
| ~ spl23_17
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f518,f130]) ).
fof(f130,plain,
( ! [X10,X11] :
( ~ h_both(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11) )
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f518,plain,
( ! [X4] :
( h_both(sK6,sK18(sK6,X4))
| ~ g_true_only(sK6,X4) )
| ~ spl23_17
| ~ spl23_24 ),
inference(resolution,[],[f216,f187]) ).
fof(f187,plain,
( ! [X10,X11] :
( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11) )
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f510,plain,
( ~ spl23_15
| ~ spl23_42 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl23_15
| ~ spl23_42 ),
inference(resolution,[],[f478,f179]) ).
fof(f179,plain,
( g_true_only(sK13,sK14)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl23_15
<=> g_true_only(sK13,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f478,plain,
( ! [X1] : ~ g_true_only(sK13,X1)
| ~ spl23_42 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f507,plain,
( spl23_42
| ~ spl23_3
| ~ spl23_17
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f506,f223,f186,f129,f477]) ).
fof(f506,plain,
( ! [X2] : ~ g_true_only(sK13,X2)
| ~ spl23_3
| ~ spl23_17
| ~ spl23_26 ),
inference(resolution,[],[f224,f416]) ).
fof(f416,plain,
( ! [X0,X1] :
( h_true_only(X0,sK18(X0,X1))
| ~ g_true_only(X0,X1) )
| ~ spl23_3
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f414,f130]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_both(X0,sK18(X0,X1)) )
| ~ spl23_17 ),
inference(resolution,[],[f187,f75]) ).
fof(f500,plain,
( ~ spl23_7
| ~ spl23_25
| ~ spl23_27 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl23_7
| ~ spl23_25
| ~ spl23_27 ),
inference(resolution,[],[f495,f147]) ).
fof(f495,plain,
( ! [X3] : ~ g_both(sK6,X3)
| ~ spl23_25
| ~ spl23_27 ),
inference(resolution,[],[f220,f228]) ).
fof(f485,plain,
( spl23_42
| ~ spl23_10
| ~ spl23_26
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f484,f474,f223,f158,f477]) ).
fof(f484,plain,
( ! [X0] : ~ g_true_only(sK13,X0)
| ~ spl23_10
| ~ spl23_26
| ~ spl23_41 ),
inference(subsumption_resolution,[],[f481,f224]) ).
fof(f481,plain,
( ! [X0] :
( h_true_only(sK13,sK11(sK13))
| ~ g_true_only(sK13,X0) )
| ~ spl23_10
| ~ spl23_41 ),
inference(resolution,[],[f475,f249]) ).
fof(f475,plain,
( ! [X0] : ~ h_both(sK13,X0)
| ~ spl23_41 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f483,plain,
( ~ spl23_12
| ~ spl23_41 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| ~ spl23_12
| ~ spl23_41 ),
inference(resolution,[],[f475,f168]) ).
fof(f168,plain,
( h_both(sK13,sK15)
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl23_12
<=> h_both(sK13,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f466,plain,
( spl23_26
| ~ spl23_14 ),
inference(avatar_split_clause,[],[f461,f173,f223]) ).
fof(f173,plain,
( spl23_14
<=> ! [X4] : h_false_only(sK13,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f461,plain,
( ! [X1] : ~ h_true_only(sK13,X1)
| ~ spl23_14 ),
inference(resolution,[],[f174,f234]) ).
fof(f174,plain,
( ! [X4] : h_false_only(sK13,X4)
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f459,plain,
( ~ spl23_11
| ~ spl23_27 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl23_11
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f164,f421]) ).
fof(f421,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl23_27 ),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f419,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl23_27 ),
inference(resolution,[],[f418,f85]) ).
fof(f85,plain,
! [X0] :
( g_both(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& g_both(X0,sK8(X0))
& ! [X3] : ~ g_true_only(X0,X3) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f37,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X2] : g_both(X0,X2)
=> g_both(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ? [X2] : g_both(X0,X2)
& ! [X3] : ~ g_true_only(X0,X3) )
| ~ sP1(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X31] :
( ( ! [X32] : h_false_only(X31,X32)
& ? [X34] : g_both(X31,X34)
& ! [X33] : ~ g_true_only(X31,X33) )
| ~ sP1(X31) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X31] :
( ( ! [X32] : h_false_only(X31,X32)
& ? [X34] : g_both(X31,X34)
& ! [X33] : ~ g_true_only(X31,X33) )
| ~ sP1(X31) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f418,plain,
( ! [X2,X3] :
( ~ g_both(X2,X3)
| ~ sP1(X2) )
| ~ spl23_27 ),
inference(resolution,[],[f228,f86]) ).
fof(f86,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f164,plain,
( sP1(sK13)
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl23_11
<=> sP1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f457,plain,
( spl23_19
| ~ spl23_28
| ~ spl23_32 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| spl23_19
| ~ spl23_28
| ~ spl23_32 ),
inference(resolution,[],[f451,f196]) ).
fof(f196,plain,
( ~ g_false_only(sK19,sK20)
| spl23_19 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl23_19
<=> g_false_only(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f451,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_28
| ~ spl23_32 ),
inference(subsumption_resolution,[],[f450,f274]) ).
fof(f450,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_32 ),
inference(resolution,[],[f306,f74]) ).
fof(f74,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| g_both(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X4] :
( g_both(X3,X4)
| g_false_only(X3,X4)
| g_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f306,plain,
( ! [X7] : ~ g_both(sK19,X7)
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f448,plain,
( spl23_29
| spl23_32
| ~ spl23_8
| ~ spl23_13
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f447,f273,f170,f150,f305,f276]) ).
fof(f170,plain,
( spl23_13
<=> ! [X9,X5,X7] :
( ~ g_both(X5,X9)
| g_true_only(X5,sK17(X5))
| h_true_only(X5,sK16(X5))
| ~ h_both(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f447,plain,
( ! [X0,X1] :
( ~ g_both(sK19,X0)
| ~ h_both(sK19,X1) )
| ~ spl23_8
| ~ spl23_13
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f446,f151]) ).
fof(f446,plain,
( ! [X0,X1] :
( ~ h_both(sK19,X1)
| h_true_only(sK19,sK16(sK19))
| ~ g_both(sK19,X0) )
| ~ spl23_13
| ~ spl23_28 ),
inference(resolution,[],[f274,f171]) ).
fof(f171,plain,
( ! [X9,X7,X5] :
( g_true_only(X5,sK17(X5))
| h_true_only(X5,sK16(X5))
| ~ g_both(X5,X9)
| ~ h_both(X5,X7) )
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f445,plain,
( spl23_28
| ~ spl23_3
| ~ spl23_8
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f436,f186,f150,f129,f273]) ).
fof(f436,plain,
( ! [X4] : ~ g_true_only(sK19,X4)
| ~ spl23_3
| ~ spl23_8
| ~ spl23_17 ),
inference(resolution,[],[f151,f416]) ).
fof(f444,plain,
( spl23_29
| spl23_28
| ~ spl23_8
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f434,f207,f150,f273,f276]) ).
fof(f434,plain,
( ! [X0,X1] :
( ~ g_true_only(sK19,X1)
| ~ h_both(sK19,X0) )
| ~ spl23_8
| ~ spl23_22 ),
inference(resolution,[],[f151,f208]) ).
fof(f431,plain,
( spl23_36
| ~ spl23_20
| ~ spl23_27
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f430,f281,f227,f198,f367]) ).
fof(f430,plain,
( ! [X7] : ~ g_both(sK21,X7)
| ~ spl23_20
| ~ spl23_27
| ~ spl23_30 ),
inference(subsumption_resolution,[],[f429,f199]) ).
fof(f429,plain,
( ! [X7] :
( h_true_only(sK21,sK18(sK21,X7))
| ~ g_both(sK21,X7) )
| ~ spl23_27
| ~ spl23_30 ),
inference(resolution,[],[f417,f282]) ).
fof(f282,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f417,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X0,X1))
| h_true_only(X0,sK18(X0,X1))
| ~ g_both(X0,X1) )
| ~ spl23_27 ),
inference(resolution,[],[f228,f75]) ).
fof(f411,plain,
( spl23_31
| ~ spl23_10
| ~ spl23_20
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f410,f281,f198,f158,f284]) ).
fof(f410,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_10
| ~ spl23_20
| ~ spl23_30 ),
inference(subsumption_resolution,[],[f377,f199]) ).
fof(f377,plain,
( ! [X0] :
( h_true_only(sK21,sK11(sK21))
| ~ g_true_only(sK21,X0) )
| ~ spl23_10
| ~ spl23_30 ),
inference(resolution,[],[f282,f249]) ).
fof(f408,plain,
( spl23_9
| ~ spl23_31
| ~ spl23_36 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| spl23_9
| ~ spl23_31
| ~ spl23_36 ),
inference(resolution,[],[f404,f155]) ).
fof(f155,plain,
( ~ g_false_only(sK21,sK22)
| spl23_9 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl23_9
<=> g_false_only(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f404,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_31
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f403,f285]) ).
fof(f403,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_36 ),
inference(resolution,[],[f368,f74]) ).
fof(f368,plain,
( ! [X3] : ~ g_both(sK21,X3)
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f401,plain,
( spl23_36
| ~ spl23_16
| ~ spl23_20
| ~ spl23_30
| ~ spl23_31 ),
inference(avatar_split_clause,[],[f400,f284,f281,f198,f182,f367]) ).
fof(f400,plain,
( ! [X5] : ~ g_both(sK21,X5)
| ~ spl23_16
| ~ spl23_20
| ~ spl23_30
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f399,f199]) ).
fof(f399,plain,
( ! [X5] :
( ~ g_both(sK21,X5)
| h_true_only(sK21,sK9(sK21)) )
| ~ spl23_16
| ~ spl23_30
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f389,f285]) ).
fof(f389,plain,
( ! [X5] :
( ~ g_both(sK21,X5)
| h_true_only(sK21,sK9(sK21))
| g_true_only(sK21,sK10(sK21)) )
| ~ spl23_16
| ~ spl23_30 ),
inference(resolution,[],[f379,f282]) ).
fof(f379,plain,
( ! [X0,X1] :
( h_both(X0,sK9(X0))
| g_true_only(X0,sK10(X0))
| h_true_only(X0,sK9(X0))
| ~ g_both(X0,X1) )
| ~ spl23_16 ),
inference(resolution,[],[f183,f75]) ).
fof(f376,plain,
( spl23_36
| spl23_30
| ~ spl23_13
| ~ spl23_20
| ~ spl23_31 ),
inference(avatar_split_clause,[],[f375,f284,f198,f170,f281,f367]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ h_both(sK21,X1)
| ~ g_both(sK21,X0) )
| ~ spl23_13
| ~ spl23_20
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f374,f199]) ).
fof(f374,plain,
( ! [X0,X1] :
( ~ h_both(sK21,X1)
| h_true_only(sK21,sK16(sK21))
| ~ g_both(sK21,X0) )
| ~ spl23_13
| ~ spl23_31 ),
inference(resolution,[],[f285,f171]) ).
fof(f365,plain,
( spl23_31
| ~ spl23_3
| ~ spl23_17
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f363,f198,f186,f129,f284]) ).
fof(f363,plain,
( ! [X4] : ~ g_true_only(sK21,X4)
| ~ spl23_3
| ~ spl23_17
| ~ spl23_20 ),
inference(resolution,[],[f199,f338]) ).
fof(f338,plain,
( ! [X0,X1] :
( h_true_only(X0,sK18(X0,X1))
| ~ g_true_only(X0,X1) )
| ~ spl23_3
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f336,f130]) ).
fof(f336,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_both(X0,sK18(X0,X1)) )
| ~ spl23_17 ),
inference(resolution,[],[f187,f75]) ).
fof(f364,plain,
( spl23_31
| spl23_30
| ~ spl23_20
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f361,f207,f198,f281,f284]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ h_both(sK21,X0)
| ~ g_true_only(sK21,X1) )
| ~ spl23_20
| ~ spl23_22 ),
inference(resolution,[],[f199,f208]) ).
fof(f354,plain,
( spl23_28
| ~ spl23_8
| ~ spl23_10
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f353,f276,f158,f150,f273]) ).
fof(f353,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_8
| ~ spl23_10
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f323,f151]) ).
fof(f323,plain,
( ! [X0] :
( h_true_only(sK19,sK11(sK19))
| ~ g_true_only(sK19,X0) )
| ~ spl23_10
| ~ spl23_29 ),
inference(resolution,[],[f277,f249]) ).
fof(f277,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f352,plain,
( spl23_32
| ~ spl23_8
| ~ spl23_27
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f351,f276,f227,f150,f305]) ).
fof(f351,plain,
( ! [X6] : ~ g_both(sK19,X6)
| ~ spl23_8
| ~ spl23_27
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f350,f151]) ).
fof(f350,plain,
( ! [X6] :
( h_true_only(sK19,sK18(sK19,X6))
| ~ g_both(sK19,X6) )
| ~ spl23_27
| ~ spl23_29 ),
inference(resolution,[],[f339,f277]) ).
fof(f339,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X0,X1))
| h_true_only(X0,sK18(X0,X1))
| ~ g_both(X0,X1) )
| ~ spl23_27 ),
inference(resolution,[],[f228,f75]) ).
fof(f334,plain,
( spl23_32
| ~ spl23_8
| ~ spl23_16
| ~ spl23_28
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f333,f276,f273,f182,f150,f305]) ).
fof(f333,plain,
( ! [X4] : ~ g_both(sK19,X4)
| ~ spl23_8
| ~ spl23_16
| ~ spl23_28
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f332,f274]) ).
fof(f332,plain,
( ! [X4] :
( g_true_only(sK19,sK10(sK19))
| ~ g_both(sK19,X4) )
| ~ spl23_8
| ~ spl23_16
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f331,f151]) ).
fof(f331,plain,
( ! [X4] :
( h_true_only(sK19,sK9(sK19))
| ~ g_both(sK19,X4)
| g_true_only(sK19,sK10(sK19)) )
| ~ spl23_16
| ~ spl23_29 ),
inference(resolution,[],[f289,f277]) ).
fof(f289,plain,
( ! [X0,X1] :
( h_both(X0,sK9(X0))
| ~ g_both(X0,X1)
| h_true_only(X0,sK9(X0))
| g_true_only(X0,sK10(X0)) )
| ~ spl23_16 ),
inference(resolution,[],[f183,f75]) ).
fof(f297,plain,
( ~ spl23_11
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl23_11
| ~ spl23_16 ),
inference(resolution,[],[f294,f164]) ).
fof(f294,plain,
( ! [X0] : ~ sP1(X0)
| ~ spl23_16 ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f292,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl23_16 ),
inference(resolution,[],[f291,f85]) ).
fof(f291,plain,
( ! [X2,X3] :
( ~ g_both(X2,X3)
| ~ sP1(X2) )
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f290,f84]) ).
fof(f84,plain,
! [X3,X0] :
( ~ g_true_only(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f290,plain,
( ! [X2,X3] :
( g_true_only(X2,sK10(X2))
| ~ sP1(X2)
| ~ g_both(X2,X3) )
| ~ spl23_16 ),
inference(resolution,[],[f183,f86]) ).
fof(f231,plain,
( spl23_8
| spl23_20 ),
inference(avatar_split_clause,[],[f90,f198,f150]) ).
fof(f90,plain,
! [X18,X15] :
( ~ h_true_only(sK21,X18)
| ~ h_true_only(sK19,X15) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( ( g_true_only(sK13,sK14)
& ( ( h_both(sK13,sK15)
& ! [X3] : ~ h_true_only(sK13,X3) )
| ! [X4] : h_false_only(sK13,X4) ) )
| sP1(sK13)
| ! [X5] :
( h_true_only(X5,sK16(X5))
| ! [X7] : ~ h_both(X5,X7)
| g_true_only(X5,sK17(X5))
| ! [X9] : ~ g_both(X5,X9) )
| sP3
| sP2 )
& ( ! [X10,X11] :
( ( ~ g_true_only(X10,X11)
| ( ~ h_false_only(X10,sK18(X10,X11))
& ~ h_both(X10,sK18(X10,X11)) ) )
& ( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_both(X10,X11) ) )
| sP0 )
& ( ! [X15] :
( ~ g_false_only(sK19,sK20)
& ~ h_true_only(sK19,X15) )
| ( ~ g_false_only(sK21,sK22)
& ! [X18] : ~ h_true_only(sK21,X18) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22])],[f47,f56,f55,f54,f53,f52,f51,f50,f49,f48]) ).
fof(f48,plain,
( ? [X0] :
( ( ? [X1] : g_true_only(X0,X1)
& ( ( ? [X2] : h_both(X0,X2)
& ! [X3] : ~ h_true_only(X0,X3) )
| ! [X4] : h_false_only(X0,X4) ) )
| sP1(X0) )
=> ( ( ? [X1] : g_true_only(sK13,X1)
& ( ( ? [X2] : h_both(sK13,X2)
& ! [X3] : ~ h_true_only(sK13,X3) )
| ! [X4] : h_false_only(sK13,X4) ) )
| sP1(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X1] : g_true_only(sK13,X1)
=> g_true_only(sK13,sK14) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X2] : h_both(sK13,X2)
=> h_both(sK13,sK15) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X5] :
( ? [X6] : h_true_only(X5,X6)
=> h_true_only(X5,sK16(X5)) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X5] :
( ? [X8] : g_true_only(X5,X8)
=> g_true_only(X5,sK17(X5)) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X10,X11] :
( ? [X12] :
( ( ~ g_true_only(X10,X11)
| ( ~ h_false_only(X10,X12)
& ~ h_both(X10,X12) ) )
& ( ~ h_false_only(X10,X12)
| ~ g_both(X10,X11) ) )
=> ( ( ~ g_true_only(X10,X11)
| ( ~ h_false_only(X10,sK18(X10,X11))
& ~ h_both(X10,sK18(X10,X11)) ) )
& ( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_both(X10,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X13,X14] :
! [X15] :
( ~ g_false_only(X13,X14)
& ~ h_true_only(X13,X15) )
=> ! [X15] :
( ~ g_false_only(sK19,sK20)
& ~ h_true_only(sK19,X15) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X16] :
( ? [X17] : ~ g_false_only(X16,X17)
& ! [X18] : ~ h_true_only(X16,X18) )
=> ( ? [X17] : ~ g_false_only(sK21,X17)
& ! [X18] : ~ h_true_only(sK21,X18) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X17] : ~ g_false_only(sK21,X17)
=> ~ g_false_only(sK21,sK22) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ( ? [X0] :
( ( ? [X1] : g_true_only(X0,X1)
& ( ( ? [X2] : h_both(X0,X2)
& ! [X3] : ~ h_true_only(X0,X3) )
| ! [X4] : h_false_only(X0,X4) ) )
| sP1(X0) )
| ! [X5] :
( ? [X6] : h_true_only(X5,X6)
| ! [X7] : ~ h_both(X5,X7)
| ? [X8] : g_true_only(X5,X8)
| ! [X9] : ~ g_both(X5,X9) )
| sP3
| sP2 )
& ( ! [X10,X11] :
? [X12] :
( ( ~ g_true_only(X10,X11)
| ( ~ h_false_only(X10,X12)
& ~ h_both(X10,X12) ) )
& ( ~ h_false_only(X10,X12)
| ~ g_both(X10,X11) ) )
| sP0 )
& ( ? [X13,X14] :
! [X15] :
( ~ g_false_only(X13,X14)
& ~ h_true_only(X13,X15) )
| ? [X16] :
( ? [X17] : ~ g_false_only(X16,X17)
& ! [X18] : ~ h_true_only(X16,X18) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
( ( ? [X31] :
( ( ? [X38] : g_true_only(X31,X38)
& ( ( ? [X36] : h_both(X31,X36)
& ! [X37] : ~ h_true_only(X31,X37) )
| ! [X35] : h_false_only(X31,X35) ) )
| sP1(X31) )
| ! [X26] :
( ? [X29] : h_true_only(X26,X29)
| ! [X30] : ~ h_both(X26,X30)
| ? [X27] : g_true_only(X26,X27)
| ! [X28] : ~ g_both(X26,X28) )
| sP3
| sP2 )
& ( ! [X8,X9] :
? [X10] :
( ( ~ g_true_only(X8,X9)
| ( ~ h_false_only(X8,X10)
& ~ h_both(X8,X10) ) )
& ( ~ h_false_only(X8,X10)
| ~ g_both(X8,X9) ) )
| sP0 )
& ( ? [X14,X15] :
! [X16] :
( ~ g_false_only(X14,X15)
& ~ h_true_only(X14,X16) )
| ? [X11] :
( ? [X13] : ~ g_false_only(X11,X13)
& ! [X12] : ~ h_true_only(X11,X12) ) ) ),
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f21,plain,
( ! [X0] :
( ( ? [X5] : ~ h_false_only(X0,X5)
| ? [X7] : g_true_only(X0,X7)
| ! [X6] : ~ g_both(X0,X6) )
& ( ( ? [X3] : ~ h_false_only(X0,X3)
& ( ? [X1] : h_true_only(X0,X1)
| ! [X2] : ~ h_both(X0,X2) ) )
| ! [X4] : ~ g_true_only(X0,X4) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f23,plain,
( ? [X24,X23] :
! [X25] :
( ( g_both(X24,X23)
& h_false_only(X24,X25) )
| ( ( h_false_only(X24,X25)
| h_both(X24,X25) )
& g_true_only(X24,X23) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ! [X17] :
( ! [X20] :
( ! [X21] :
( ~ h_both(X17,X21)
| ~ g_both(X17,X20) )
| ? [X22] :
( g_false_only(X17,X20)
| h_true_only(X17,X22) ) )
| ? [X18] :
! [X19] :
( ( g_both(X17,X18)
& h_false_only(X17,X19) )
| ( ( h_false_only(X17,X19)
| h_both(X17,X19) )
& g_true_only(X17,X18) ) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f20,plain,
( ( ? [X31] :
( ( ? [X38] : g_true_only(X31,X38)
& ( ( ? [X36] : h_both(X31,X36)
& ! [X37] : ~ h_true_only(X31,X37) )
| ! [X35] : h_false_only(X31,X35) ) )
| ( ! [X32] : h_false_only(X31,X32)
& ? [X34] : g_both(X31,X34)
& ! [X33] : ~ g_true_only(X31,X33) ) )
| ! [X26] :
( ? [X29] : h_true_only(X26,X29)
| ! [X30] : ~ h_both(X26,X30)
| ? [X27] : g_true_only(X26,X27)
| ! [X28] : ~ g_both(X26,X28) )
| ! [X17] :
( ! [X20] :
( ! [X21] :
( ~ h_both(X17,X21)
| ~ g_both(X17,X20) )
| ? [X22] :
( g_false_only(X17,X20)
| h_true_only(X17,X22) ) )
| ? [X18] :
! [X19] :
( ( g_both(X17,X18)
& h_false_only(X17,X19) )
| ( ( h_false_only(X17,X19)
| h_both(X17,X19) )
& g_true_only(X17,X18) ) ) )
| ? [X24,X23] :
! [X25] :
( ( g_both(X24,X23)
& h_false_only(X24,X25) )
| ( ( h_false_only(X24,X25)
| h_both(X24,X25) )
& g_true_only(X24,X23) ) ) )
& ( ! [X8,X9] :
? [X10] :
( ( ~ g_true_only(X8,X9)
| ( ~ h_false_only(X8,X10)
& ~ h_both(X8,X10) ) )
& ( ~ h_false_only(X8,X10)
| ~ g_both(X8,X9) ) )
| ! [X0] :
( ( ? [X5] : ~ h_false_only(X0,X5)
| ? [X7] : g_true_only(X0,X7)
| ! [X6] : ~ g_both(X0,X6) )
& ( ( ? [X3] : ~ h_false_only(X0,X3)
& ( ? [X1] : h_true_only(X0,X1)
| ! [X2] : ~ h_both(X0,X2) ) )
| ! [X4] : ~ g_true_only(X0,X4) ) ) )
& ( ? [X14,X15] :
! [X16] :
( ~ g_false_only(X14,X15)
& ~ h_true_only(X14,X16) )
| ? [X11] :
( ? [X13] : ~ g_false_only(X11,X13)
& ! [X12] : ~ h_true_only(X11,X12) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ( ( ? [X17] :
( ~ ? [X18] :
! [X19] :
( ( g_both(X17,X18)
& h_false_only(X17,X19) )
| ( ( h_false_only(X17,X19)
| h_both(X17,X19) )
& g_true_only(X17,X18) ) )
& ? [X20] :
( ~ ? [X22] :
( g_false_only(X17,X20)
| h_true_only(X17,X22) )
& ? [X21] :
( h_both(X17,X21)
& g_both(X17,X20) ) ) )
& ? [X26] :
( ~ ? [X29] : h_true_only(X26,X29)
& ? [X28] : g_both(X26,X28)
& ~ ? [X27] : g_true_only(X26,X27)
& ? [X30] : h_both(X26,X30) )
& ~ ? [X31] :
( ( ( ! [X35] : h_false_only(X31,X35)
| ( ? [X36] : h_both(X31,X36)
& ~ ? [X37] : h_true_only(X31,X37) ) )
& ? [X38] : g_true_only(X31,X38) )
| ( ~ ? [X33] : g_true_only(X31,X33)
& ? [X34] : g_both(X31,X34)
& ! [X32] : h_false_only(X31,X32) ) )
& ~ ? [X24,X23] :
! [X25] :
( ( g_both(X24,X23)
& h_false_only(X24,X25) )
| ( ( h_false_only(X24,X25)
| h_both(X24,X25) )
& g_true_only(X24,X23) ) ) )
| ( ? [X9,X8] :
! [X10] :
( ( ( h_false_only(X8,X10)
| h_both(X8,X10) )
& g_true_only(X8,X9) )
| ( h_false_only(X8,X10)
& g_both(X8,X9) ) )
& ? [X0] :
( ( ( ! [X3] : h_false_only(X0,X3)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X2] : h_both(X0,X2) ) )
& ? [X4] : g_true_only(X0,X4) )
| ( ? [X6] : g_both(X0,X6)
& ! [X5] : h_false_only(X0,X5)
& ~ ? [X7] : g_true_only(X0,X7) ) ) )
| ( ! [X11] :
( ? [X12] : h_true_only(X11,X12)
| ! [X13] : g_false_only(X11,X13) )
& ! [X15,X14] :
? [X16] :
( h_true_only(X14,X16)
| g_false_only(X14,X15) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
( ( ( ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) )
| ! [X1] : h_false_only(X0,X1) )
& ? [X1] : g_true_only(X0,X1) )
| ( ! [X1] : h_false_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1) ) )
& ? [X0,X1] :
! [X2] :
( ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) ) )
| ( ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) )
& ! [X0,X1] :
? [X2] :
( g_false_only(X0,X1)
| h_true_only(X0,X2) ) )
| ( ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( g_true_only(X0,X1)
& ( h_both(X0,X2)
| h_false_only(X0,X2) ) )
| ( g_both(X0,X1)
& h_false_only(X0,X2) ) )
& ? [X1] :
( ? [X2] :
( g_both(X0,X1)
& h_both(X0,X2) )
& ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) ) ) )
& ~ ? [X1,X0] :
! [X2] :
( ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) )
| ( g_both(X0,X1)
& h_false_only(X0,X2) ) )
& ? [X0] :
( ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ? [X1] : h_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] :
( ( ( ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) )
| ! [X1] : h_false_only(X0,X1) )
& ? [X1] : g_true_only(X0,X1) )
| ( ! [X1] : h_false_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1) ) )
& ? [X0,X1] :
! [X2] :
( ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) ) )
| ( ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) )
& ! [X0,X1] :
? [X2] :
( g_false_only(X0,X1)
| h_true_only(X0,X2) ) )
| ( ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( g_true_only(X0,X1)
& ( h_both(X0,X2)
| h_false_only(X0,X2) ) )
| ( g_both(X0,X1)
& h_false_only(X0,X2) ) )
& ? [X1] :
( ? [X2] :
( g_both(X0,X1)
& h_both(X0,X2) )
& ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) ) ) )
& ~ ? [X1,X0] :
! [X2] :
( ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) )
| ( g_both(X0,X1)
& h_false_only(X0,X2) ) )
& ? [X0] :
( ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ? [X1] : h_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc5) ).
fof(f230,plain,
( ~ spl23_5
| spl23_24 ),
inference(avatar_split_clause,[],[f118,f215,f137]) ).
fof(f137,plain,
( spl23_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f118,plain,
! [X2] :
( h_false_only(sK6,X2)
| h_both(sK6,X2)
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
! [X2] :
( h_false_only(sK6,X2)
| ~ sP2
| h_false_only(sK6,X2)
| h_both(sK6,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ! [X2] :
( ( g_both(sK6,sK7)
& h_false_only(sK6,X2) )
| ( ( h_false_only(sK6,X2)
| h_both(sK6,X2) )
& g_true_only(sK6,sK7) ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
! [X2] :
( ( g_both(X0,X1)
& h_false_only(X0,X2) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( g_both(sK6,sK7)
& h_false_only(sK6,X2) )
| ( ( h_false_only(sK6,X2)
| h_both(sK6,X2) )
& g_true_only(sK6,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X0,X1] :
! [X2] :
( ( g_both(X0,X1)
& h_false_only(X0,X2) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ~ sP2 ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( ? [X24,X23] :
! [X25] :
( ( g_both(X24,X23)
& h_false_only(X24,X25) )
| ( ( h_false_only(X24,X25)
| h_both(X24,X25) )
& g_true_only(X24,X23) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f229,plain,
( spl23_4
| spl23_27 ),
inference(avatar_split_clause,[],[f94,f227,f132]) ).
fof(f132,plain,
( spl23_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f94,plain,
! [X10,X11] :
( ~ g_both(X10,X11)
| ~ h_false_only(X10,sK18(X10,X11))
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f225,plain,
( spl23_1
| spl23_13
| spl23_14
| spl23_26
| spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f97,f137,f162,f223,f173,f170,f121]) ).
fof(f121,plain,
( spl23_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f97,plain,
! [X3,X9,X7,X4,X5] :
( sP2
| sP1(sK13)
| ~ h_true_only(sK13,X3)
| h_false_only(sK13,X4)
| ~ h_both(X5,X7)
| h_true_only(X5,sK16(X5))
| g_true_only(X5,sK17(X5))
| ~ g_both(X5,X9)
| sP3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f221,plain,
( ~ spl23_5
| spl23_25
| spl23_6 ),
inference(avatar_split_clause,[],[f80,f141,f219,f137]) ).
fof(f80,plain,
! [X2] :
( g_true_only(sK6,sK7)
| h_false_only(sK6,X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f35]) ).
fof(f209,plain,
( ~ spl23_4
| spl23_22 ),
inference(avatar_split_clause,[],[f87,f207,f132]) ).
fof(f87,plain,
! [X0,X6,X7] :
( ~ h_both(X0,X6)
| h_true_only(X0,sK12(X0))
| ~ g_true_only(X0,X7)
| ~ sP0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ! [X0] :
( ( ~ h_false_only(X0,sK9(X0))
| g_true_only(X0,sK10(X0))
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ~ h_false_only(X0,sK11(X0))
& ( h_true_only(X0,sK12(X0))
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f41,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] : ~ h_false_only(X0,X1)
=> ~ h_false_only(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X2] : g_true_only(X0,X2)
=> g_true_only(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X4] : ~ h_false_only(X0,X4)
=> ~ h_false_only(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X5] : h_true_only(X0,X5)
=> h_true_only(X0,sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ! [X0] :
( ( ? [X1] : ~ h_false_only(X0,X1)
| ? [X2] : g_true_only(X0,X2)
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ? [X4] : ~ h_false_only(X0,X4)
& ( ? [X5] : h_true_only(X0,X5)
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ! [X0] :
( ( ? [X5] : ~ h_false_only(X0,X5)
| ? [X7] : g_true_only(X0,X7)
| ! [X6] : ~ g_both(X0,X6) )
& ( ( ? [X3] : ~ h_false_only(X0,X3)
& ( ? [X1] : h_true_only(X0,X1)
| ! [X2] : ~ h_both(X0,X2) ) )
| ! [X4] : ~ g_true_only(X0,X4) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f205,plain,
( ~ spl23_19
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f93,f153,f194]) ).
fof(f93,plain,
( ~ g_false_only(sK21,sK22)
| ~ g_false_only(sK19,sK20) ),
inference(cnf_transformation,[],[f57]) ).
fof(f200,plain,
( ~ spl23_19
| spl23_20 ),
inference(avatar_split_clause,[],[f92,f198,f194]) ).
fof(f92,plain,
! [X18] :
( ~ h_true_only(sK21,X18)
| ~ g_false_only(sK19,sK20) ),
inference(cnf_transformation,[],[f57]) ).
fof(f188,plain,
( spl23_4
| spl23_17 ),
inference(avatar_split_clause,[],[f96,f186,f132]) ).
fof(f96,plain,
! [X10,X11] :
( ~ h_false_only(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11)
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f184,plain,
( spl23_16
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f89,f132,f182]) ).
fof(f89,plain,
! [X3,X0] :
( ~ sP0
| g_true_only(X0,sK10(X0))
| ~ h_false_only(X0,sK9(X0))
| ~ g_both(X0,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f180,plain,
( spl23_5
| spl23_11
| spl23_1
| spl23_13
| spl23_15 ),
inference(avatar_split_clause,[],[f99,f177,f170,f121,f162,f137]) ).
fof(f99,plain,
! [X9,X7,X5] :
( g_true_only(sK13,sK14)
| ~ g_both(X5,X9)
| g_true_only(X5,sK17(X5))
| sP3
| sP1(sK13)
| sP2
| h_true_only(X5,sK16(X5))
| ~ h_both(X5,X7) ),
inference(cnf_transformation,[],[f57]) ).
fof(f175,plain,
( spl23_1
| spl23_11
| spl23_12
| spl23_13
| spl23_14
| spl23_5 ),
inference(avatar_split_clause,[],[f98,f137,f173,f170,f166,f162,f121]) ).
fof(f98,plain,
! [X9,X7,X4,X5] :
( sP2
| h_false_only(sK13,X4)
| ~ g_both(X5,X9)
| h_both(sK13,sK15)
| ~ h_both(X5,X7)
| h_true_only(X5,sK16(X5))
| sP1(sK13)
| sP3
| g_true_only(X5,sK17(X5)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f160,plain,
( ~ spl23_4
| spl23_10 ),
inference(avatar_split_clause,[],[f88,f158,f132]) ).
fof(f88,plain,
! [X0,X7] :
( ~ h_false_only(X0,sK11(X0))
| ~ sP0
| ~ g_true_only(X0,X7) ),
inference(cnf_transformation,[],[f46]) ).
fof(f156,plain,
( spl23_8
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f91,f153,f150]) ).
fof(f91,plain,
! [X15] :
( ~ g_false_only(sK21,sK22)
| ~ h_true_only(sK19,X15) ),
inference(cnf_transformation,[],[f57]) ).
fof(f148,plain,
( ~ spl23_5
| spl23_6
| spl23_7 ),
inference(avatar_split_clause,[],[f82,f145,f141,f137]) ).
fof(f82,plain,
( g_both(sK6,sK7)
| g_true_only(sK6,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f35]) ).
fof(f135,plain,
( spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f95,f132,f129]) ).
fof(f95,plain,
! [X10,X11] :
( sP0
| ~ h_both(X10,sK18(X10,X11))
| ~ g_true_only(X10,X11) ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
( ~ spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f76,f125,f121]) ).
fof(f76,plain,
! [X2,X0,X1,X5] :
( h_true_only(X0,sK4(X0,X1))
| ~ h_both(X0,X2)
| ~ sP3
| h_false_only(X0,X5)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| g_true_only(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ! [X0] :
( ! [X1] :
( ! [X2] :
( ~ h_both(X0,X2)
| ~ g_both(X0,X1) )
| g_false_only(X0,X1)
| h_true_only(X0,sK4(X0,X1)) )
| ! [X5] :
( ( g_both(X0,sK5(X0))
& h_false_only(X0,X5) )
| ( ( h_false_only(X0,X5)
| h_both(X0,X5) )
& g_true_only(X0,sK5(X0)) ) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f28,f30,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X3] :
( g_false_only(X0,X1)
| h_true_only(X0,X3) )
=> ( g_false_only(X0,X1)
| h_true_only(X0,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X4] :
! [X5] :
( ( g_both(X0,X4)
& h_false_only(X0,X5) )
| ( ( h_false_only(X0,X5)
| h_both(X0,X5) )
& g_true_only(X0,X4) ) )
=> ! [X5] :
( ( g_both(X0,sK5(X0))
& h_false_only(X0,X5) )
| ( ( h_false_only(X0,X5)
| h_both(X0,X5) )
& g_true_only(X0,sK5(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ! [X0] :
( ! [X1] :
( ! [X2] :
( ~ h_both(X0,X2)
| ~ g_both(X0,X1) )
| ? [X3] :
( g_false_only(X0,X1)
| h_true_only(X0,X3) ) )
| ? [X4] :
! [X5] :
( ( g_both(X0,X4)
& h_false_only(X0,X5) )
| ( ( h_false_only(X0,X5)
| h_both(X0,X5) )
& g_true_only(X0,X4) ) ) )
| ~ sP3 ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
( ! [X17] :
( ! [X20] :
( ! [X21] :
( ~ h_both(X17,X21)
| ~ g_both(X17,X20) )
| ? [X22] :
( g_false_only(X17,X20)
| h_true_only(X17,X22) ) )
| ? [X18] :
! [X19] :
( ( g_both(X17,X18)
& h_false_only(X17,X19) )
| ( ( h_false_only(X17,X19)
| h_both(X17,X19) )
& g_true_only(X17,X18) ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 23:09:04 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.50 % (9905)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.23/0.53 % (9914)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.23/0.53 % (9905)First to succeed.
% 0.23/0.53 % (9924)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.23/0.53 % (9914)Refutation not found, incomplete strategy% (9914)------------------------------
% 0.23/0.53 % (9914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (9914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (9914)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53
% 0.23/0.53 % (9914)Memory used [KB]: 6012
% 0.23/0.53 % (9914)Time elapsed: 0.095 s
% 0.23/0.53 % (9914)Instructions burned: 3 (million)
% 0.23/0.53 % (9914)------------------------------
% 0.23/0.53 % (9914)------------------------------
% 1.14/0.54 % (9916)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.14/0.54 % (9921)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.14/0.55 % (9916)Refutation not found, incomplete strategy% (9916)------------------------------
% 1.14/0.55 % (9916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.55 % (9932)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.14/0.55 % (9916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.55 % (9916)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.55
% 1.14/0.55 % (9916)Memory used [KB]: 6012
% 1.14/0.55 % (9916)Time elapsed: 0.115 s
% 1.14/0.55 % (9916)Instructions burned: 4 (million)
% 1.14/0.55 % (9916)------------------------------
% 1.14/0.55 % (9916)------------------------------
% 1.14/0.55 % (9924)Instruction limit reached!
% 1.14/0.55 % (9924)------------------------------
% 1.14/0.55 % (9924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.55 % (9924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.55 % (9924)Termination reason: Unknown
% 1.14/0.55 % (9924)Termination phase: Saturation
% 1.14/0.55
% 1.14/0.55 % (9924)Memory used [KB]: 6268
% 1.14/0.55 % (9924)Time elapsed: 0.120 s
% 1.14/0.55 % (9924)Instructions burned: 11 (million)
% 1.14/0.55 % (9924)------------------------------
% 1.14/0.55 % (9924)------------------------------
% 1.14/0.55 % (9907)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.56 % (9905)Refutation found. Thanks to Tanya!
% 1.41/0.56 % SZS status Theorem for theBenchmark
% 1.41/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.56 % (9905)------------------------------
% 1.41/0.56 % (9905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (9905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (9905)Termination reason: Refutation
% 1.41/0.56
% 1.41/0.56 % (9905)Memory used [KB]: 6268
% 1.41/0.56 % (9905)Time elapsed: 0.098 s
% 1.41/0.56 % (9905)Instructions burned: 14 (million)
% 1.41/0.56 % (9905)------------------------------
% 1.41/0.56 % (9905)------------------------------
% 1.41/0.56 % (9904)Success in time 0.171 s
%------------------------------------------------------------------------------