TSTP Solution File: GEO590+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.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 30 23:36:34 EDT 2023
% Result : Theorem 58.10s 8.68s
% Output : Refutation 58.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 155
% Syntax : Number of formulae : 941 ( 17 unt; 0 def)
% Number of atoms : 2513 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 2830 (1258 ~;1281 |; 108 &)
% ( 109 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 118 ( 117 usr; 110 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-7 aty)
% Number of variables : 1480 (;1452 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79653,plain,
$false,
inference(avatar_sat_refutation,[],[f2100,f2113,f2236,f2395,f2559,f2584,f2966,f3055,f3210,f3322,f3581,f3649,f3718,f3726,f3775,f3992,f4126,f4609,f5202,f5237,f5263,f5264,f5282,f5390,f5649,f5759,f6269,f6415,f6734,f6796,f7224,f7235,f7335,f7336,f7611,f8077,f8103,f8196,f8419,f8472,f12670,f12692,f12747,f13472,f13526,f13922,f14188,f15213,f15619,f15770,f15829,f15868,f15874,f15950,f15955,f16735,f16848,f16861,f17062,f17063,f17146,f17190,f17192,f17367,f17572,f17652,f17702,f18499,f19218,f20228,f20355,f21045,f22397,f23243,f23423,f23556,f24133,f24175,f24176,f24192,f24195,f24622,f34086,f49550,f49638,f49675,f49750,f49990,f50116,f50187,f50208,f50680,f50685,f50697,f53123,f53151,f53229,f53352,f53695,f56175,f56401,f56507,f59009,f59258,f77580,f77755,f79079,f79526,f79536,f79652]) ).
fof(f79652,plain,
( ~ spl26_2560
| ~ spl26_2633
| spl26_3085 ),
inference(avatar_contradiction_clause,[],[f79651]) ).
fof(f79651,plain,
( $false
| ~ spl26_2560
| ~ spl26_2633
| spl26_3085 ),
inference(subsumption_resolution,[],[f79650,f56307]) ).
fof(f56307,plain,
( cong(sK4,sK1,sK4,sK2)
| ~ spl26_2560 ),
inference(avatar_component_clause,[],[f56305]) ).
fof(f56305,plain,
( spl26_2560
<=> cong(sK4,sK1,sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2560])]) ).
fof(f79650,plain,
( ~ cong(sK4,sK1,sK4,sK2)
| ~ spl26_2633
| spl26_3085 ),
inference(subsumption_resolution,[],[f79648,f59218]) ).
fof(f59218,plain,
( coll(sK4,sK1,sK2)
| ~ spl26_2633 ),
inference(avatar_component_clause,[],[f59217]) ).
fof(f59217,plain,
( spl26_2633
<=> coll(sK4,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2633])]) ).
fof(f79648,plain,
( ~ coll(sK4,sK1,sK2)
| ~ cong(sK4,sK1,sK4,sK2)
| spl26_3085 ),
inference(resolution,[],[f75760,f374]) ).
fof(f374,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD67) ).
fof(f75760,plain,
( ~ midp(sK4,sK1,sK2)
| spl26_3085 ),
inference(avatar_component_clause,[],[f75759]) ).
fof(f75759,plain,
( spl26_3085
<=> midp(sK4,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3085])]) ).
fof(f79536,plain,
( ~ spl26_225
| ~ spl26_3085 ),
inference(avatar_split_clause,[],[f77034,f75759,f6059]) ).
fof(f6059,plain,
( spl26_225
<=> perp(sK2,sK5,sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_225])]) ).
fof(f77034,plain,
( ~ perp(sK2,sK5,sK5,sK1)
| ~ spl26_3085 ),
inference(resolution,[],[f75761,f517]) ).
fof(f517,plain,
! [X1] :
( ~ midp(sK4,X1,sK2)
| ~ perp(sK2,sK5,sK5,X1) ),
inference(resolution,[],[f513,f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD11) ).
fof(f513,plain,
! [X1] :
( ~ midp(sK4,sK2,X1)
| ~ perp(sK2,sK5,sK5,X1) ),
inference(resolution,[],[f395,f494]) ).
fof(f494,plain,
~ cong(sK2,sK4,sK5,sK4),
inference(resolution,[],[f491,f385]) ).
fof(f385,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD24) ).
fof(f491,plain,
~ cong(sK5,sK4,sK2,sK4),
inference(resolution,[],[f485,f384]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD23) ).
fof(f485,plain,
~ cong(sK5,sK4,sK4,sK2),
inference(resolution,[],[f483,f385]) ).
fof(f483,plain,
~ cong(sK4,sK2,sK5,sK4),
inference(resolution,[],[f384,f366]) ).
fof(f366,plain,
~ cong(sK4,sK2,sK4,sK5),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ cong(sK4,sK2,sK4,sK5)
& coll(sK5,sK1,sK2)
& coll(sK5,sK0,sK4)
& perp(sK2,sK3,sK2,sK4)
& perp(sK0,sK1,sK0,sK4)
& midp(sK3,sK1,sK0)
& perp(sK2,sK0,sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f169,f321]) ).
fof(f321,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> ( ~ cong(sK4,sK2,sK4,sK5)
& coll(sK5,sK1,sK2)
& coll(sK5,sK0,sK4)
& perp(sK2,sK3,sK2,sK4)
& perp(sK0,sK1,sK0,sK4)
& midp(sK3,sK1,sK0)
& perp(sK2,sK0,sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> cong(X4,X2,X4,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X2,X3,X4,X7,X0,X5] :
( ( coll(X5,X3,X4)
& coll(X5,X2,X0)
& perp(X4,X7,X4,X0)
& perp(X2,X3,X2,X0)
& midp(X7,X3,X2)
& perp(X4,X2,X4,X3) )
=> cong(X0,X4,X0,X5) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X2,X3,X4,X7,X0,X5] :
( ( coll(X5,X3,X4)
& coll(X5,X2,X0)
& perp(X4,X7,X4,X0)
& perp(X2,X3,X2,X0)
& midp(X7,X3,X2)
& perp(X4,X2,X4,X3) )
=> cong(X0,X4,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',exemplo6GDDFULL416052) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD52) ).
fof(f75761,plain,
( midp(sK4,sK1,sK2)
| ~ spl26_3085 ),
inference(avatar_component_clause,[],[f75759]) ).
fof(f79526,plain,
( ~ spl26_2
| ~ spl26_354
| spl26_2609 ),
inference(avatar_contradiction_clause,[],[f79517]) ).
fof(f79517,plain,
( $false
| ~ spl26_2
| ~ spl26_354
| spl26_2609 ),
inference(resolution,[],[f78665,f530]) ).
fof(f530,plain,
( cong(sK2,sK2,sK2,sK5)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl26_2
<=> cong(sK2,sK2,sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f78665,plain,
( ! [X19,X20] : ~ cong(X19,X20,sK2,sK5)
| ~ spl26_354
| spl26_2609 ),
inference(subsumption_resolution,[],[f78663,f78150]) ).
fof(f78150,plain,
( ! [X2,X1] :
( ~ cong(X1,X2,sK2,sK5)
| ~ cong(X1,X2,sK2,sK1) )
| spl26_2609 ),
inference(resolution,[],[f58837,f6528]) ).
fof(f6528,plain,
! [X31,X34,X35,X32,X30,X33] :
( cong(X30,X31,X32,X33)
| ~ cong(X34,X35,X30,X31)
| ~ cong(X34,X35,X32,X33) ),
inference(resolution,[],[f2079,f385]) ).
fof(f2079,plain,
! [X31,X34,X35,X32,X30,X33] :
( ~ cong(X32,X33,X34,X35)
| cong(X30,X31,X32,X33)
| ~ cong(X34,X35,X30,X31) ),
inference(resolution,[],[f612,f385]) ).
fof(f612,plain,
! [X11,X16,X14,X15,X12,X13] :
( ~ cong(X11,X12,X15,X16)
| cong(X11,X12,X13,X14)
| ~ cong(X13,X14,X15,X16) ),
inference(resolution,[],[f449,f385]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD25) ).
fof(f58837,plain,
( ~ cong(sK2,sK5,sK2,sK1)
| spl26_2609 ),
inference(avatar_component_clause,[],[f58835]) ).
fof(f58835,plain,
( spl26_2609
<=> cong(sK2,sK5,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2609])]) ).
fof(f78663,plain,
( ! [X19,X20] :
( cong(X19,X20,sK2,sK1)
| ~ cong(X19,X20,sK2,sK5) )
| ~ spl26_354 ),
inference(resolution,[],[f9287,f2131]) ).
fof(f2131,plain,
! [X40,X38,X41,X39,X36,X37] :
( ~ cong(X40,X41,X39,X38)
| cong(X36,X37,X38,X39)
| ~ cong(X36,X37,X41,X40) ),
inference(resolution,[],[f613,f384]) ).
fof(f613,plain,
! [X21,X18,X19,X17,X22,X20] :
( ~ cong(X17,X18,X21,X22)
| cong(X17,X18,X19,X20)
| ~ cong(X21,X22,X20,X19) ),
inference(resolution,[],[f449,f384]) ).
fof(f9287,plain,
( cong(sK5,sK2,sK1,sK2)
| ~ spl26_354 ),
inference(avatar_component_clause,[],[f9286]) ).
fof(f9286,plain,
( spl26_354
<=> cong(sK5,sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_354])]) ).
fof(f79079,plain,
( ~ spl26_352
| ~ spl26_869
| spl26_2626 ),
inference(avatar_contradiction_clause,[],[f79078]) ).
fof(f79078,plain,
( $false
| ~ spl26_352
| ~ spl26_869
| spl26_2626 ),
inference(subsumption_resolution,[],[f79072,f9270]) ).
fof(f9270,plain,
( cong(sK2,sK5,sK1,sK5)
| ~ spl26_352 ),
inference(avatar_component_clause,[],[f9269]) ).
fof(f9269,plain,
( spl26_352
<=> cong(sK2,sK5,sK1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_352])]) ).
fof(f79072,plain,
( ~ cong(sK2,sK5,sK1,sK5)
| ~ spl26_869
| spl26_2626 ),
inference(resolution,[],[f78182,f385]) ).
fof(f78182,plain,
( ~ cong(sK1,sK5,sK2,sK5)
| ~ spl26_869
| spl26_2626 ),
inference(subsumption_resolution,[],[f78173,f21149]) ).
fof(f21149,plain,
( cong(sK1,sK1,sK2,sK1)
| ~ spl26_869 ),
inference(avatar_component_clause,[],[f21148]) ).
fof(f21148,plain,
( spl26_869
<=> cong(sK1,sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_869])]) ).
fof(f78173,plain,
( ~ cong(sK1,sK1,sK2,sK1)
| ~ cong(sK1,sK5,sK2,sK5)
| spl26_2626 ),
inference(resolution,[],[f59008,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD56) ).
fof(f59008,plain,
( ~ perp(sK1,sK2,sK5,sK1)
| spl26_2626 ),
inference(avatar_component_clause,[],[f59006]) ).
fof(f59006,plain,
( spl26_2626
<=> perp(sK1,sK2,sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2626])]) ).
fof(f77755,plain,
( spl26_987
| ~ spl26_738
| ~ spl26_776 ),
inference(avatar_split_clause,[],[f77754,f17644,f16362,f23215]) ).
fof(f23215,plain,
( spl26_987
<=> para(sK2,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_987])]) ).
fof(f16362,plain,
( spl26_738
<=> cong(sK2,sK1,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_738])]) ).
fof(f17644,plain,
( spl26_776
<=> para(sK1,sK2,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_776])]) ).
fof(f77754,plain,
( para(sK2,sK1,sK1,sK2)
| ~ spl26_738
| ~ spl26_776 ),
inference(subsumption_resolution,[],[f24201,f16363]) ).
fof(f16363,plain,
( cong(sK2,sK1,sK2,sK2)
| ~ spl26_738 ),
inference(avatar_component_clause,[],[f16362]) ).
fof(f24201,plain,
( para(sK2,sK1,sK1,sK2)
| ~ cong(sK2,sK1,sK2,sK2)
| ~ spl26_776 ),
inference(resolution,[],[f17646,f3228]) ).
fof(f3228,plain,
! [X2,X0,X1] :
( ~ para(X1,X2,X2,X0)
| para(X0,X1,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(resolution,[],[f1488,f373]) ).
fof(f373,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD46) ).
fof(f1488,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X7,X6) ),
inference(resolution,[],[f474,f382]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD4) ).
fof(f474,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD73) ).
fof(f17646,plain,
( para(sK1,sK2,sK2,sK2)
| ~ spl26_776 ),
inference(avatar_component_clause,[],[f17644]) ).
fof(f77580,plain,
( spl26_2350
| ~ spl26_2274
| ~ spl26_2284 ),
inference(avatar_split_clause,[],[f77579,f50205,f49998,f51326]) ).
fof(f51326,plain,
( spl26_2350
<=> para(sK5,sK2,sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2350])]) ).
fof(f49998,plain,
( spl26_2274
<=> cong(sK2,sK5,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2274])]) ).
fof(f50205,plain,
( spl26_2284
<=> para(sK5,sK2,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2284])]) ).
fof(f77579,plain,
( para(sK5,sK2,sK2,sK5)
| ~ spl26_2274
| ~ spl26_2284 ),
inference(subsumption_resolution,[],[f65296,f49999]) ).
fof(f49999,plain,
( cong(sK2,sK5,sK2,sK2)
| ~ spl26_2274 ),
inference(avatar_component_clause,[],[f49998]) ).
fof(f65296,plain,
( para(sK5,sK2,sK2,sK5)
| ~ cong(sK2,sK5,sK2,sK2)
| ~ spl26_2284 ),
inference(resolution,[],[f13302,f50207]) ).
fof(f50207,plain,
( para(sK5,sK2,sK2,sK2)
| ~ spl26_2284 ),
inference(avatar_component_clause,[],[f50205]) ).
fof(f13302,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X2,X1)
| para(X0,X1,X2,X0)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f3264,f373]) ).
fof(f3264,plain,
! [X65,X72,X70,X71,X68,X69,X66,X67] :
( ~ eqangle(X67,X68,X65,X66,X69,X70,X71,X72)
| ~ para(X69,X70,X71,X72)
| para(X65,X66,X67,X68) ),
inference(resolution,[],[f1489,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD19) ).
fof(f1489,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( ~ eqangle(X8,X9,X10,X11,X12,X13,X14,X15)
| para(X8,X9,X10,X11)
| ~ para(X14,X15,X12,X13) ),
inference(resolution,[],[f474,f383]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD5) ).
fof(f59258,plain,
( ~ spl26_2547
| spl26_2633 ),
inference(avatar_contradiction_clause,[],[f59257]) ).
fof(f59257,plain,
( $false
| ~ spl26_2547
| spl26_2633 ),
inference(subsumption_resolution,[],[f59249,f56150]) ).
fof(f56150,plain,
( coll(sK2,sK4,sK1)
| ~ spl26_2547 ),
inference(avatar_component_clause,[],[f56149]) ).
fof(f56149,plain,
( spl26_2547
<=> coll(sK2,sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2547])]) ).
fof(f59249,plain,
( ~ coll(sK2,sK4,sK1)
| spl26_2633 ),
inference(resolution,[],[f59230,f371]) ).
fof(f371,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD2) ).
fof(f59230,plain,
( ~ coll(sK4,sK2,sK1)
| spl26_2633 ),
inference(resolution,[],[f59219,f370]) ).
fof(f370,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD1) ).
fof(f59219,plain,
( ~ coll(sK4,sK1,sK2)
| spl26_2633 ),
inference(avatar_component_clause,[],[f59217]) ).
fof(f59009,plain,
( ~ spl26_2626
| ~ spl26_2609
| spl26_225 ),
inference(avatar_split_clause,[],[f58964,f6059,f58835,f59006]) ).
fof(f58964,plain,
( ~ cong(sK2,sK5,sK2,sK1)
| ~ perp(sK1,sK2,sK5,sK1)
| spl26_225 ),
inference(resolution,[],[f6988,f6061]) ).
fof(f6061,plain,
( ~ perp(sK2,sK5,sK5,sK1)
| spl26_225 ),
inference(avatar_component_clause,[],[f6059]) ).
fof(f6988,plain,
! [X10,X8,X9] :
( perp(X8,X9,X9,X10)
| ~ cong(X8,X9,X8,X10)
| ~ perp(X10,X8,X9,X10) ),
inference(resolution,[],[f2283,f387]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD8) ).
fof(f2283,plain,
! [X11,X12,X13] :
( ~ perp(X12,X13,X13,X11)
| ~ cong(X11,X12,X11,X13)
| perp(X11,X12,X12,X13) ),
inference(resolution,[],[f1507,f386]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD7) ).
fof(f1507,plain,
! [X2,X0,X1] :
( ~ perp(X0,X1,X2,X1)
| perp(X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f475,f373]) ).
fof(f475,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD74) ).
fof(f56507,plain,
( spl26_2560
| ~ spl26_592
| ~ spl26_733
| ~ spl26_2477 ),
inference(avatar_split_clause,[],[f56498,f53689,f15953,f12745,f56305]) ).
fof(f12745,plain,
( spl26_592
<=> ! [X9,X11,X10] :
( cong(X9,X10,X9,X11)
| ~ midp(X11,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_592])]) ).
fof(f15953,plain,
( spl26_733
<=> ! [X22,X21] :
( midp(sK2,X21,X22)
| ~ para(sK1,X22,sK1,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_733])]) ).
fof(f53689,plain,
( spl26_2477
<=> para(sK1,sK1,sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2477])]) ).
fof(f56498,plain,
( cong(sK4,sK1,sK4,sK2)
| ~ spl26_592
| ~ spl26_733
| ~ spl26_2477 ),
inference(resolution,[],[f56416,f12746]) ).
fof(f12746,plain,
( ! [X10,X11,X9] :
( ~ midp(X11,X9,X10)
| cong(X9,X10,X9,X11) )
| ~ spl26_592 ),
inference(avatar_component_clause,[],[f12745]) ).
fof(f56416,plain,
( midp(sK2,sK4,sK1)
| ~ spl26_733
| ~ spl26_2477 ),
inference(resolution,[],[f53691,f15954]) ).
fof(f15954,plain,
( ! [X21,X22] :
( ~ para(sK1,X22,sK1,X21)
| midp(sK2,X21,X22) )
| ~ spl26_733 ),
inference(avatar_component_clause,[],[f15953]) ).
fof(f53691,plain,
( para(sK1,sK1,sK1,sK4)
| ~ spl26_2477 ),
inference(avatar_component_clause,[],[f53689]) ).
fof(f56401,plain,
( ~ spl26_611
| ~ spl26_2478 ),
inference(avatar_contradiction_clause,[],[f56398]) ).
fof(f56398,plain,
( $false
| ~ spl26_611
| ~ spl26_2478 ),
inference(resolution,[],[f53694,f13471]) ).
fof(f13471,plain,
( ! [X28,X27] : perp(X27,X28,X27,X28)
| ~ spl26_611 ),
inference(avatar_component_clause,[],[f13470]) ).
fof(f13470,plain,
( spl26_611
<=> ! [X27,X28] : perp(X27,X28,X27,X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_611])]) ).
fof(f53694,plain,
( ! [X21,X20] : ~ perp(sK1,sK4,X20,X21)
| ~ spl26_2478 ),
inference(avatar_component_clause,[],[f53693]) ).
fof(f53693,plain,
( spl26_2478
<=> ! [X20,X21] : ~ perp(sK1,sK4,X20,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2478])]) ).
fof(f56175,plain,
( ~ spl26_733
| ~ spl26_2477
| spl26_2547 ),
inference(avatar_contradiction_clause,[],[f56174]) ).
fof(f56174,plain,
( $false
| ~ spl26_733
| ~ spl26_2477
| spl26_2547 ),
inference(subsumption_resolution,[],[f56164,f54786]) ).
fof(f54786,plain,
( midp(sK2,sK4,sK1)
| ~ spl26_733
| ~ spl26_2477 ),
inference(resolution,[],[f53691,f15954]) ).
fof(f56164,plain,
( ~ midp(sK2,sK4,sK1)
| spl26_2547 ),
inference(resolution,[],[f56151,f368]) ).
fof(f368,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD69) ).
fof(f56151,plain,
( ~ coll(sK2,sK4,sK1)
| spl26_2547 ),
inference(avatar_component_clause,[],[f56149]) ).
fof(f53695,plain,
( spl26_2477
| spl26_2478
| ~ spl26_1431 ),
inference(avatar_split_clause,[],[f53687,f34187,f53693,f53689]) ).
fof(f34187,plain,
( spl26_1431
<=> cong(sK1,sK1,sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1431])]) ).
fof(f53687,plain,
( ! [X21,X20] :
( ~ perp(sK1,sK4,X20,X21)
| para(sK1,sK1,sK1,sK4) )
| ~ spl26_1431 ),
inference(subsumption_resolution,[],[f53660,f387]) ).
fof(f53660,plain,
( ! [X21,X20] :
( ~ perp(X20,X21,sK1,sK4)
| ~ perp(sK1,sK4,X20,X21)
| para(sK1,sK1,sK1,sK4) )
| ~ spl26_1431 ),
inference(resolution,[],[f34189,f4185]) ).
fof(f4185,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X0,X2)
| ~ perp(X3,X4,X0,X2)
| ~ perp(X1,X2,X3,X4)
| para(X0,X1,X1,X2) ),
inference(resolution,[],[f1494,f373]) ).
fof(f1494,plain,
! [X58,X59,X56,X54,X57,X55,X62,X63,X60,X61] :
( ~ eqangle(X54,X55,X56,X57,X58,X59,X60,X61)
| para(X54,X55,X56,X57)
| ~ perp(X62,X63,X60,X61)
| ~ perp(X58,X59,X62,X63) ),
inference(resolution,[],[f474,f450]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD9) ).
fof(f34189,plain,
( cong(sK1,sK1,sK1,sK4)
| ~ spl26_1431 ),
inference(avatar_component_clause,[],[f34187]) ).
fof(f53352,plain,
( ~ spl26_759
| spl26_1431 ),
inference(avatar_contradiction_clause,[],[f53351]) ).
fof(f53351,plain,
( $false
| ~ spl26_759
| spl26_1431 ),
inference(subsumption_resolution,[],[f53347,f17276]) ).
fof(f17276,plain,
( cong(sK1,sK1,sK4,sK1)
| ~ spl26_759 ),
inference(avatar_component_clause,[],[f17275]) ).
fof(f17275,plain,
( spl26_759
<=> cong(sK1,sK1,sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_759])]) ).
fof(f53347,plain,
( ~ cong(sK1,sK1,sK4,sK1)
| spl26_1431 ),
inference(resolution,[],[f34188,f384]) ).
fof(f34188,plain,
( ~ cong(sK1,sK1,sK1,sK4)
| spl26_1431 ),
inference(avatar_component_clause,[],[f34187]) ).
fof(f53229,plain,
spl26_2464,
inference(avatar_contradiction_clause,[],[f53228]) ).
fof(f53228,plain,
( $false
| spl26_2464 ),
inference(subsumption_resolution,[],[f53219,f365]) ).
fof(f365,plain,
coll(sK5,sK1,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f53219,plain,
( ~ coll(sK5,sK1,sK2)
| spl26_2464 ),
inference(resolution,[],[f53140,f370]) ).
fof(f53140,plain,
( ~ coll(sK5,sK2,sK1)
| spl26_2464 ),
inference(avatar_component_clause,[],[f53138]) ).
fof(f53138,plain,
( spl26_2464
<=> coll(sK5,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2464])]) ).
fof(f53151,plain,
( ~ spl26_2464
| ~ spl26_40
| ~ spl26_168
| spl26_354
| ~ spl26_738
| ~ spl26_795
| ~ spl26_987 ),
inference(avatar_split_clause,[],[f53150,f23215,f18478,f16362,f9286,f5261,f1468,f53138]) ).
fof(f1468,plain,
( spl26_40
<=> ! [X9,X11,X10] :
( cong(X9,X10,X10,X11)
| ~ midp(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).
fof(f5261,plain,
( spl26_168
<=> ! [X6,X8,X7] :
( cong(X6,X7,X6,X8)
| ~ midp(X7,X6,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_168])]) ).
fof(f18478,plain,
( spl26_795
<=> coll(sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_795])]) ).
fof(f53150,plain,
( ~ coll(sK5,sK2,sK1)
| ~ spl26_40
| ~ spl26_168
| spl26_354
| ~ spl26_738
| ~ spl26_795
| ~ spl26_987 ),
inference(subsumption_resolution,[],[f52073,f24478]) ).
fof(f24478,plain,
( ! [X12] :
( ~ coll(X12,sK2,sK1)
| cong(X12,sK2,X12,sK1) )
| ~ spl26_40
| ~ spl26_738
| ~ spl26_795
| ~ spl26_987 ),
inference(subsumption_resolution,[],[f24477,f370]) ).
fof(f24477,plain,
( ! [X12] :
( ~ coll(X12,sK1,sK2)
| ~ coll(X12,sK2,sK1)
| cong(X12,sK2,X12,sK1) )
| ~ spl26_40
| ~ spl26_738
| ~ spl26_795
| ~ spl26_987 ),
inference(subsumption_resolution,[],[f24469,f18815]) ).
fof(f18815,plain,
( cong(sK2,sK1,sK1,sK2)
| ~ spl26_40
| ~ spl26_738
| ~ spl26_795 ),
inference(subsumption_resolution,[],[f18800,f18479]) ).
fof(f18479,plain,
( coll(sK2,sK1,sK2)
| ~ spl26_795 ),
inference(avatar_component_clause,[],[f18478]) ).
fof(f18800,plain,
( ~ coll(sK2,sK1,sK2)
| cong(sK2,sK1,sK1,sK2)
| ~ spl26_40
| ~ spl26_738 ),
inference(resolution,[],[f16363,f5338]) ).
fof(f5338,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| cong(X0,X1,X1,X2) )
| ~ spl26_40 ),
inference(resolution,[],[f1469,f374]) ).
fof(f1469,plain,
( ! [X10,X11,X9] :
( ~ midp(X9,X10,X11)
| cong(X9,X10,X10,X11) )
| ~ spl26_40 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f24469,plain,
( ! [X12] :
( ~ cong(sK2,sK1,sK1,sK2)
| ~ coll(X12,sK1,sK2)
| ~ coll(X12,sK2,sK1)
| cong(X12,sK2,X12,sK1) )
| ~ spl26_987 ),
inference(resolution,[],[f23217,f3145]) ).
fof(f3145,plain,
! [X16,X14,X15,X12,X13] :
( ~ para(X13,X14,X15,X16)
| ~ cong(X13,X15,X14,X16)
| ~ coll(X12,X14,X16)
| ~ coll(X12,X13,X15)
| cong(X12,X13,X12,X14) ),
inference(resolution,[],[f1464,f423]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD65) ).
fof(f1464,plain,
! [X21,X26,X27,X24,X22,X25,X23,X20] :
( ~ eqratio(X24,X25,X20,X21,X26,X27,X22,X23)
| cong(X24,X25,X26,X27)
| ~ cong(X20,X21,X22,X23) ),
inference(resolution,[],[f473,f467]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD29) ).
fof(f473,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f307]) ).
fof(f307,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD75) ).
fof(f23217,plain,
( para(sK2,sK1,sK1,sK2)
| ~ spl26_987 ),
inference(avatar_component_clause,[],[f23215]) ).
fof(f52073,plain,
( ~ coll(sK5,sK2,sK1)
| ~ cong(sK5,sK2,sK5,sK1)
| ~ spl26_168
| spl26_354 ),
inference(resolution,[],[f5722,f9438]) ).
fof(f9438,plain,
( ~ cong(sK2,sK5,sK2,sK1)
| spl26_354 ),
inference(resolution,[],[f9408,f384]) ).
fof(f9408,plain,
( ~ cong(sK2,sK5,sK1,sK2)
| spl26_354 ),
inference(resolution,[],[f9352,f385]) ).
fof(f9352,plain,
( ~ cong(sK1,sK2,sK2,sK5)
| spl26_354 ),
inference(resolution,[],[f9321,f384]) ).
fof(f9321,plain,
( ~ cong(sK1,sK2,sK5,sK2)
| spl26_354 ),
inference(resolution,[],[f9288,f385]) ).
fof(f9288,plain,
( ~ cong(sK5,sK2,sK1,sK2)
| spl26_354 ),
inference(avatar_component_clause,[],[f9286]) ).
fof(f5722,plain,
( ! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ coll(X1,X0,X2)
| ~ cong(X1,X0,X1,X2) )
| ~ spl26_168 ),
inference(resolution,[],[f5262,f374]) ).
fof(f5262,plain,
( ! [X8,X6,X7] :
( ~ midp(X7,X6,X8)
| cong(X6,X7,X6,X8) )
| ~ spl26_168 ),
inference(avatar_component_clause,[],[f5261]) ).
fof(f53123,plain,
( ~ spl26_98
| ~ spl26_168
| spl26_352
| ~ spl26_2305
| ~ spl26_2350 ),
inference(avatar_contradiction_clause,[],[f53122]) ).
fof(f53122,plain,
( $false
| ~ spl26_98
| ~ spl26_168
| spl26_352
| ~ spl26_2305
| ~ spl26_2350 ),
inference(subsumption_resolution,[],[f53114,f365]) ).
fof(f53114,plain,
( ~ coll(sK5,sK1,sK2)
| ~ spl26_98
| ~ spl26_168
| spl26_352
| ~ spl26_2305
| ~ spl26_2350 ),
inference(resolution,[],[f52212,f371]) ).
fof(f52212,plain,
( ~ coll(sK1,sK5,sK2)
| ~ spl26_98
| ~ spl26_168
| spl26_352
| ~ spl26_2305
| ~ spl26_2350 ),
inference(subsumption_resolution,[],[f52091,f51470]) ).
fof(f51470,plain,
( ! [X12] :
( ~ coll(X12,sK5,sK2)
| cong(X12,sK5,X12,sK2) )
| ~ spl26_98
| ~ spl26_2305
| ~ spl26_2350 ),
inference(subsumption_resolution,[],[f51469,f370]) ).
fof(f51469,plain,
( ! [X12] :
( ~ coll(X12,sK2,sK5)
| ~ coll(X12,sK5,sK2)
| cong(X12,sK5,X12,sK2) )
| ~ spl26_98
| ~ spl26_2305
| ~ spl26_2350 ),
inference(subsumption_resolution,[],[f51458,f50772]) ).
fof(f50772,plain,
( cong(sK5,sK2,sK2,sK5)
| ~ spl26_98
| ~ spl26_2305 ),
inference(resolution,[],[f50696,f7649]) ).
fof(f7649,plain,
( ! [X3,X4,X5] :
( ~ midp(X5,X4,X3)
| cong(X3,X4,X5,X3) )
| ~ spl26_98 ),
inference(resolution,[],[f3209,f367]) ).
fof(f3209,plain,
( ! [X8,X6,X7] :
( ~ midp(X8,X6,X7)
| cong(X6,X7,X8,X6) )
| ~ spl26_98 ),
inference(avatar_component_clause,[],[f3208]) ).
fof(f3208,plain,
( spl26_98
<=> ! [X6,X8,X7] :
( cong(X6,X7,X8,X6)
| ~ midp(X8,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_98])]) ).
fof(f50696,plain,
( midp(sK2,sK2,sK5)
| ~ spl26_2305 ),
inference(avatar_component_clause,[],[f50694]) ).
fof(f50694,plain,
( spl26_2305
<=> midp(sK2,sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2305])]) ).
fof(f51458,plain,
( ! [X12] :
( ~ cong(sK5,sK2,sK2,sK5)
| ~ coll(X12,sK2,sK5)
| ~ coll(X12,sK5,sK2)
| cong(X12,sK5,X12,sK2) )
| ~ spl26_2350 ),
inference(resolution,[],[f51328,f3145]) ).
fof(f51328,plain,
( para(sK5,sK2,sK2,sK5)
| ~ spl26_2350 ),
inference(avatar_component_clause,[],[f51326]) ).
fof(f52091,plain,
( ~ coll(sK1,sK5,sK2)
| ~ cong(sK1,sK5,sK1,sK2)
| ~ spl26_168
| spl26_352 ),
inference(resolution,[],[f5722,f9403]) ).
fof(f9403,plain,
( ~ cong(sK5,sK1,sK5,sK2)
| spl26_352 ),
inference(resolution,[],[f9340,f384]) ).
fof(f9340,plain,
( ~ cong(sK5,sK1,sK2,sK5)
| spl26_352 ),
inference(resolution,[],[f9307,f385]) ).
fof(f9307,plain,
( ~ cong(sK2,sK5,sK5,sK1)
| spl26_352 ),
inference(resolution,[],[f9271,f384]) ).
fof(f9271,plain,
( ~ cong(sK2,sK5,sK1,sK5)
| spl26_352 ),
inference(avatar_component_clause,[],[f9269]) ).
fof(f50697,plain,
( spl26_2305
| ~ spl26_5
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f49737,f533,f580,f50694]) ).
fof(f580,plain,
( spl26_5
<=> cong(sK5,sK5,sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f533,plain,
( spl26_3
<=> coll(sK2,sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f49737,plain,
( ~ cong(sK5,sK5,sK5,sK2)
| midp(sK2,sK2,sK5)
| ~ spl26_3 ),
inference(resolution,[],[f534,f28904]) ).
fof(f28904,plain,
! [X0,X1] :
( ~ coll(X0,X0,X1)
| ~ cong(X1,X1,X1,X0)
| midp(X0,X0,X1) ),
inference(subsumption_resolution,[],[f28903,f612]) ).
fof(f28903,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ cong(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(duplicate_literal_removal,[],[f28888]) ).
fof(f28888,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ cong(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X0)
| ~ coll(X0,X0,X1)
| ~ cong(X1,X1,X1,X0) ),
inference(resolution,[],[f4469,f373]) ).
fof(f4469,plain,
! [X48,X46,X47,X44,X45] :
( ~ eqangle(X48,X46,X48,X45,X47,X44,X47,X45)
| midp(X44,X45,X46)
| ~ cong(X47,X48,X47,X46)
| ~ cong(X47,X48,X47,X45)
| ~ coll(X44,X45,X46) ),
inference(resolution,[],[f1718,f469]) ).
fof(f1718,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| midp(X4,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(resolution,[],[f419,f392]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD12) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4] :
( ~ circle(X3,X0,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2,X7,X6] :
( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
& coll(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> midp(X6,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD51) ).
fof(f534,plain,
( coll(sK2,sK2,sK5)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f50685,plain,
( ~ spl26_2
| spl26_5
| ~ spl26_6 ),
inference(avatar_contradiction_clause,[],[f50684]) ).
fof(f50684,plain,
( $false
| ~ spl26_2
| spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f50683,f589]) ).
fof(f589,plain,
( ~ midp(sK5,sK5,sK2)
| spl26_5 ),
inference(resolution,[],[f582,f369]) ).
fof(f369,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD68) ).
fof(f582,plain,
( ~ cong(sK5,sK5,sK5,sK2)
| spl26_5 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f50683,plain,
( midp(sK5,sK5,sK2)
| ~ spl26_2
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f50681,f530]) ).
fof(f50681,plain,
( ~ cong(sK2,sK2,sK2,sK5)
| midp(sK5,sK5,sK2)
| ~ spl26_6 ),
inference(resolution,[],[f585,f28904]) ).
fof(f585,plain,
( coll(sK5,sK5,sK2)
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl26_6
<=> coll(sK5,sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f50680,plain,
( ~ spl26_3
| spl26_6 ),
inference(avatar_contradiction_clause,[],[f50669]) ).
fof(f50669,plain,
( $false
| ~ spl26_3
| spl26_6 ),
inference(resolution,[],[f50667,f534]) ).
fof(f50667,plain,
( ! [X0] : ~ coll(sK2,X0,sK5)
| spl26_6 ),
inference(duplicate_literal_removal,[],[f50662]) ).
fof(f50662,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK5)
| ~ coll(sK2,X0,sK5) )
| spl26_6 ),
inference(resolution,[],[f586,f389]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD3) ).
fof(f586,plain,
( ~ coll(sK5,sK5,sK2)
| spl26_6 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f50208,plain,
( ~ spl26_15
| spl26_2284
| ~ spl26_2235 ),
inference(avatar_split_clause,[],[f50024,f49669,f50205,f1172]) ).
fof(f1172,plain,
( spl26_15
<=> cong(sK5,sK2,sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f49669,plain,
( spl26_2235
<=> para(sK2,sK2,sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2235])]) ).
fof(f50024,plain,
( para(sK5,sK2,sK2,sK2)
| ~ cong(sK5,sK2,sK5,sK2)
| ~ spl26_2235 ),
inference(resolution,[],[f49671,f3228]) ).
fof(f49671,plain,
( para(sK2,sK2,sK2,sK5)
| ~ spl26_2235 ),
inference(avatar_component_clause,[],[f49669]) ).
fof(f50187,plain,
( spl26_15
| ~ spl26_40
| ~ spl26_2240
| ~ spl26_2274 ),
inference(avatar_contradiction_clause,[],[f50186]) ).
fof(f50186,plain,
( $false
| spl26_15
| ~ spl26_40
| ~ spl26_2240
| ~ spl26_2274 ),
inference(subsumption_resolution,[],[f13912,f50178]) ).
fof(f50178,plain,
( cong(sK2,sK5,sK5,sK2)
| ~ spl26_40
| ~ spl26_2240
| ~ spl26_2274 ),
inference(subsumption_resolution,[],[f50148,f49691]) ).
fof(f49691,plain,
( coll(sK2,sK5,sK2)
| ~ spl26_2240 ),
inference(avatar_component_clause,[],[f49690]) ).
fof(f49690,plain,
( spl26_2240
<=> coll(sK2,sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2240])]) ).
fof(f50148,plain,
( ~ coll(sK2,sK5,sK2)
| cong(sK2,sK5,sK5,sK2)
| ~ spl26_40
| ~ spl26_2274 ),
inference(resolution,[],[f49999,f5338]) ).
fof(f13912,plain,
( ~ cong(sK2,sK5,sK5,sK2)
| spl26_15 ),
inference(resolution,[],[f13895,f385]) ).
fof(f13895,plain,
( ~ cong(sK5,sK2,sK2,sK5)
| spl26_15 ),
inference(resolution,[],[f1174,f384]) ).
fof(f1174,plain,
( ~ cong(sK5,sK2,sK5,sK2)
| spl26_15 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f50116,plain,
( ~ spl26_2
| spl26_2274 ),
inference(avatar_contradiction_clause,[],[f50115]) ).
fof(f50115,plain,
( $false
| ~ spl26_2
| spl26_2274 ),
inference(subsumption_resolution,[],[f50113,f530]) ).
fof(f50113,plain,
( ~ cong(sK2,sK2,sK2,sK5)
| spl26_2274 ),
inference(resolution,[],[f50000,f385]) ).
fof(f50000,plain,
( ~ cong(sK2,sK5,sK2,sK2)
| spl26_2274 ),
inference(avatar_component_clause,[],[f49998]) ).
fof(f49990,plain,
( ~ spl26_611
| ~ spl26_2236 ),
inference(avatar_contradiction_clause,[],[f49987]) ).
fof(f49987,plain,
( $false
| ~ spl26_611
| ~ spl26_2236 ),
inference(resolution,[],[f49674,f13471]) ).
fof(f49674,plain,
( ! [X21,X20] : ~ perp(sK2,sK5,X20,X21)
| ~ spl26_2236 ),
inference(avatar_component_clause,[],[f49673]) ).
fof(f49673,plain,
( spl26_2236
<=> ! [X20,X21] : ~ perp(sK2,sK5,X20,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2236])]) ).
fof(f49750,plain,
( ~ spl26_3
| spl26_2240 ),
inference(avatar_contradiction_clause,[],[f49749]) ).
fof(f49749,plain,
( $false
| ~ spl26_3
| spl26_2240 ),
inference(subsumption_resolution,[],[f49740,f534]) ).
fof(f49740,plain,
( ~ coll(sK2,sK2,sK5)
| spl26_2240 ),
inference(resolution,[],[f49692,f370]) ).
fof(f49692,plain,
( ~ coll(sK2,sK5,sK2)
| spl26_2240 ),
inference(avatar_component_clause,[],[f49690]) ).
fof(f49675,plain,
( spl26_2235
| spl26_2236
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f49667,f529,f49673,f49669]) ).
fof(f49667,plain,
( ! [X21,X20] :
( ~ perp(sK2,sK5,X20,X21)
| para(sK2,sK2,sK2,sK5) )
| ~ spl26_2 ),
inference(subsumption_resolution,[],[f49598,f387]) ).
fof(f49598,plain,
( ! [X21,X20] :
( ~ perp(X20,X21,sK2,sK5)
| ~ perp(sK2,sK5,X20,X21)
| para(sK2,sK2,sK2,sK5) )
| ~ spl26_2 ),
inference(resolution,[],[f530,f4185]) ).
fof(f49638,plain,
spl26_3,
inference(avatar_contradiction_clause,[],[f49627]) ).
fof(f49627,plain,
( $false
| spl26_3 ),
inference(resolution,[],[f49581,f365]) ).
fof(f49581,plain,
( ! [X0] : ~ coll(sK5,X0,sK2)
| spl26_3 ),
inference(duplicate_literal_removal,[],[f49576]) ).
fof(f49576,plain,
( ! [X0] :
( ~ coll(sK5,X0,sK2)
| ~ coll(sK5,X0,sK2) )
| spl26_3 ),
inference(resolution,[],[f535,f389]) ).
fof(f535,plain,
( ~ coll(sK2,sK2,sK5)
| spl26_3 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f49550,plain,
( spl26_2
| ~ spl26_16
| ~ spl26_612
| ~ spl26_1034 ),
inference(avatar_contradiction_clause,[],[f49549]) ).
fof(f49549,plain,
( $false
| spl26_2
| ~ spl26_16
| ~ spl26_612
| ~ spl26_1034 ),
inference(subsumption_resolution,[],[f49467,f13578]) ).
fof(f13578,plain,
( perp(sK2,sK5,sK5,sK2)
| ~ spl26_612 ),
inference(avatar_component_clause,[],[f13577]) ).
fof(f13577,plain,
( spl26_612
<=> perp(sK2,sK5,sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_612])]) ).
fof(f49467,plain,
( ~ perp(sK2,sK5,sK5,sK2)
| spl26_2
| ~ spl26_16
| ~ spl26_1034 ),
inference(resolution,[],[f48776,f561]) ).
fof(f561,plain,
( ! [X1] :
( ~ midp(sK2,X1,sK2)
| ~ perp(sK2,sK5,sK5,X1) )
| spl26_2 ),
inference(resolution,[],[f551,f367]) ).
fof(f551,plain,
( ! [X0] :
( ~ midp(sK2,sK2,X0)
| ~ perp(sK2,sK5,sK5,X0) )
| spl26_2 ),
inference(resolution,[],[f540,f395]) ).
fof(f540,plain,
( ~ cong(sK2,sK2,sK5,sK2)
| spl26_2 ),
inference(resolution,[],[f531,f384]) ).
fof(f531,plain,
( ~ cong(sK2,sK2,sK2,sK5)
| spl26_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f48776,plain,
( midp(sK2,sK2,sK2)
| ~ spl26_16
| ~ spl26_1034 ),
inference(subsumption_resolution,[],[f48758,f1183]) ).
fof(f1183,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1182,plain,
( spl26_16
<=> cong(sK2,sK2,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f48758,plain,
( ~ cong(sK2,sK2,sK2,sK2)
| midp(sK2,sK2,sK2)
| ~ spl26_1034 ),
inference(resolution,[],[f28904,f24540]) ).
fof(f24540,plain,
( coll(sK2,sK2,sK2)
| ~ spl26_1034 ),
inference(avatar_component_clause,[],[f24539]) ).
fof(f24539,plain,
( spl26_1034
<=> coll(sK2,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1034])]) ).
fof(f34086,plain,
( ~ spl26_611
| ~ spl26_700
| spl26_759 ),
inference(avatar_contradiction_clause,[],[f34085]) ).
fof(f34085,plain,
( $false
| ~ spl26_611
| ~ spl26_700
| spl26_759 ),
inference(subsumption_resolution,[],[f34083,f13471]) ).
fof(f34083,plain,
( ~ perp(sK1,sK4,sK1,sK4)
| ~ spl26_700
| spl26_759 ),
inference(resolution,[],[f34075,f386]) ).
fof(f34075,plain,
( ~ perp(sK1,sK4,sK4,sK1)
| ~ spl26_700
| spl26_759 ),
inference(resolution,[],[f17293,f15541]) ).
fof(f15541,plain,
( midp(sK1,sK1,sK1)
| ~ spl26_700 ),
inference(avatar_component_clause,[],[f15539]) ).
fof(f15539,plain,
( spl26_700
<=> midp(sK1,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_700])]) ).
fof(f17293,plain,
( ! [X0] :
( ~ midp(sK1,sK1,X0)
| ~ perp(sK1,sK4,sK4,X0) )
| spl26_759 ),
inference(resolution,[],[f17277,f395]) ).
fof(f17277,plain,
( ~ cong(sK1,sK1,sK4,sK1)
| spl26_759 ),
inference(avatar_component_clause,[],[f17275]) ).
fof(f24622,plain,
( ~ spl26_1004
| spl26_1034 ),
inference(avatar_contradiction_clause,[],[f24609]) ).
fof(f24609,plain,
( $false
| ~ spl26_1004
| spl26_1034 ),
inference(resolution,[],[f24603,f23514]) ).
fof(f23514,plain,
( coll(sK2,sK0,sK2)
| ~ spl26_1004 ),
inference(avatar_component_clause,[],[f23513]) ).
fof(f23513,plain,
( spl26_1004
<=> coll(sK2,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1004])]) ).
fof(f24603,plain,
( ! [X0] : ~ coll(sK2,X0,sK2)
| spl26_1034 ),
inference(duplicate_literal_removal,[],[f24598]) ).
fof(f24598,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK2)
| ~ coll(sK2,X0,sK2) )
| spl26_1034 ),
inference(resolution,[],[f24541,f389]) ).
fof(f24541,plain,
( ~ coll(sK2,sK2,sK2)
| spl26_1034 ),
inference(avatar_component_clause,[],[f24539]) ).
fof(f24195,plain,
( ~ spl26_803
| spl26_776 ),
inference(avatar_split_clause,[],[f23443,f17644,f18957]) ).
fof(f18957,plain,
( spl26_803
<=> para(sK2,sK2,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_803])]) ).
fof(f23443,plain,
( ~ para(sK2,sK2,sK2,sK1)
| spl26_776 ),
inference(resolution,[],[f23246,f382]) ).
fof(f23246,plain,
( ~ para(sK2,sK2,sK1,sK2)
| spl26_776 ),
inference(resolution,[],[f17645,f383]) ).
fof(f17645,plain,
( ~ para(sK1,sK2,sK2,sK2)
| spl26_776 ),
inference(avatar_component_clause,[],[f17644]) ).
fof(f24192,plain,
( ~ spl26_654
| ~ spl26_959
| ~ spl26_992 ),
inference(avatar_contradiction_clause,[],[f24191]) ).
fof(f24191,plain,
( $false
| ~ spl26_654
| ~ spl26_959
| ~ spl26_992 ),
inference(subsumption_resolution,[],[f24190,f14450]) ).
fof(f14450,plain,
( cong(sK0,sK2,sK0,sK1)
| ~ spl26_654 ),
inference(avatar_component_clause,[],[f14448]) ).
fof(f14448,plain,
( spl26_654
<=> cong(sK0,sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_654])]) ).
fof(f24190,plain,
( ~ cong(sK0,sK2,sK0,sK1)
| ~ spl26_959
| ~ spl26_992 ),
inference(subsumption_resolution,[],[f24183,f23242]) ).
fof(f23242,plain,
( ! [X26,X27] : ~ perp(sK2,sK1,X26,X27)
| ~ spl26_992 ),
inference(avatar_component_clause,[],[f23241]) ).
fof(f23241,plain,
( spl26_992
<=> ! [X27,X26] : ~ perp(sK2,sK1,X26,X27) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_992])]) ).
fof(f24183,plain,
( perp(sK2,sK1,sK0,sK2)
| ~ cong(sK0,sK2,sK0,sK1)
| ~ spl26_959 ),
inference(resolution,[],[f22521,f3397]) ).
fof(f3397,plain,
! [X2,X0,X1] :
( ~ perp(X2,X1,X0,X1)
| perp(X0,X1,X2,X0)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f1516,f373]) ).
fof(f1516,plain,
! [X58,X59,X56,X54,X57,X55,X53,X60] :
( ~ eqangle(X59,X60,X57,X58,X55,X56,X53,X54)
| perp(X57,X58,X59,X60)
| ~ perp(X53,X54,X55,X56) ),
inference(resolution,[],[f475,f469]) ).
fof(f22521,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ spl26_959 ),
inference(avatar_component_clause,[],[f22520]) ).
fof(f22520,plain,
( spl26_959
<=> perp(sK0,sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_959])]) ).
fof(f24176,plain,
( ~ spl26_963
| spl26_959 ),
inference(avatar_split_clause,[],[f24108,f22520,f22540]) ).
fof(f22540,plain,
( spl26_963
<=> perp(sK0,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_963])]) ).
fof(f24108,plain,
( ~ perp(sK0,sK1,sK1,sK2)
| spl26_959 ),
inference(resolution,[],[f22522,f386]) ).
fof(f22522,plain,
( ~ perp(sK0,sK1,sK2,sK1)
| spl26_959 ),
inference(avatar_component_clause,[],[f22520]) ).
fof(f24175,plain,
( ~ spl26_961
| spl26_963 ),
inference(avatar_contradiction_clause,[],[f24174]) ).
fof(f24174,plain,
( $false
| ~ spl26_961
| spl26_963 ),
inference(subsumption_resolution,[],[f24171,f22530]) ).
fof(f22530,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ spl26_961 ),
inference(avatar_component_clause,[],[f22529]) ).
fof(f22529,plain,
( spl26_961
<=> perp(sK1,sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_961])]) ).
fof(f24171,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| spl26_963 ),
inference(resolution,[],[f22542,f387]) ).
fof(f22542,plain,
( ~ perp(sK0,sK1,sK1,sK2)
| spl26_963 ),
inference(avatar_component_clause,[],[f22540]) ).
fof(f24133,plain,
( ~ spl26_113
| ~ spl26_587
| ~ spl26_733
| ~ spl26_869
| spl26_961 ),
inference(avatar_contradiction_clause,[],[f24132]) ).
fof(f24132,plain,
( $false
| ~ spl26_113
| ~ spl26_587
| ~ spl26_733
| ~ spl26_869
| spl26_961 ),
inference(subsumption_resolution,[],[f24131,f20220]) ).
fof(f20220,plain,
( cong(sK1,sK0,sK2,sK0)
| ~ spl26_113
| ~ spl26_587
| ~ spl26_733 ),
inference(resolution,[],[f20059,f12669]) ).
fof(f12669,plain,
( ! [X10,X11,X9] :
( ~ midp(X11,X10,X9)
| cong(X9,X10,X11,X10) )
| ~ spl26_587 ),
inference(avatar_component_clause,[],[f12668]) ).
fof(f12668,plain,
( spl26_587
<=> ! [X9,X11,X10] :
( cong(X9,X10,X11,X10)
| ~ midp(X11,X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_587])]) ).
fof(f20059,plain,
( midp(sK2,sK0,sK1)
| ~ spl26_113
| ~ spl26_733 ),
inference(resolution,[],[f15954,f4098]) ).
fof(f4098,plain,
( para(sK1,sK1,sK1,sK0)
| ~ spl26_113 ),
inference(avatar_component_clause,[],[f4096]) ).
fof(f4096,plain,
( spl26_113
<=> para(sK1,sK1,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_113])]) ).
fof(f24131,plain,
( ~ cong(sK1,sK0,sK2,sK0)
| ~ spl26_869
| spl26_961 ),
inference(subsumption_resolution,[],[f24128,f21149]) ).
fof(f24128,plain,
( ~ cong(sK1,sK1,sK2,sK1)
| ~ cong(sK1,sK0,sK2,sK0)
| spl26_961 ),
inference(resolution,[],[f22531,f394]) ).
fof(f22531,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| spl26_961 ),
inference(avatar_component_clause,[],[f22529]) ).
fof(f23556,plain,
( ~ spl26_993
| spl26_1004 ),
inference(avatar_contradiction_clause,[],[f23555]) ).
fof(f23555,plain,
( $false
| ~ spl26_993
| spl26_1004 ),
inference(subsumption_resolution,[],[f23547,f23327]) ).
fof(f23327,plain,
( coll(sK0,sK2,sK2)
| ~ spl26_993 ),
inference(avatar_component_clause,[],[f23326]) ).
fof(f23326,plain,
( spl26_993
<=> coll(sK0,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_993])]) ).
fof(f23547,plain,
( ~ coll(sK0,sK2,sK2)
| spl26_1004 ),
inference(resolution,[],[f23515,f371]) ).
fof(f23515,plain,
( ~ coll(sK2,sK0,sK2)
| spl26_1004 ),
inference(avatar_component_clause,[],[f23513]) ).
fof(f23423,plain,
( ~ spl26_861
| spl26_993 ),
inference(avatar_contradiction_clause,[],[f23408]) ).
fof(f23408,plain,
( $false
| ~ spl26_861
| spl26_993 ),
inference(resolution,[],[f23406,f20985]) ).
fof(f20985,plain,
( coll(sK0,sK0,sK2)
| ~ spl26_861 ),
inference(avatar_component_clause,[],[f20984]) ).
fof(f20984,plain,
( spl26_861
<=> coll(sK0,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_861])]) ).
fof(f23406,plain,
( ! [X0] : ~ coll(sK0,X0,sK2)
| spl26_993 ),
inference(duplicate_literal_removal,[],[f23401]) ).
fof(f23401,plain,
( ! [X0] :
( ~ coll(sK0,X0,sK2)
| ~ coll(sK0,X0,sK2) )
| spl26_993 ),
inference(resolution,[],[f23386,f389]) ).
fof(f23386,plain,
( ~ coll(sK2,sK2,sK0)
| spl26_993 ),
inference(resolution,[],[f23372,f370]) ).
fof(f23372,plain,
( ~ coll(sK2,sK0,sK2)
| spl26_993 ),
inference(resolution,[],[f23328,f371]) ).
fof(f23328,plain,
( ~ coll(sK0,sK2,sK2)
| spl26_993 ),
inference(avatar_component_clause,[],[f23326]) ).
fof(f23243,plain,
( spl26_803
| spl26_992
| ~ spl26_800 ),
inference(avatar_split_clause,[],[f23239,f18834,f23241,f18957]) ).
fof(f18834,plain,
( spl26_800
<=> cong(sK2,sK2,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_800])]) ).
fof(f23239,plain,
( ! [X26,X27] :
( ~ perp(sK2,sK1,X26,X27)
| para(sK2,sK2,sK2,sK1) )
| ~ spl26_800 ),
inference(subsumption_resolution,[],[f19289,f387]) ).
fof(f19289,plain,
( ! [X26,X27] :
( ~ perp(X26,X27,sK2,sK1)
| ~ perp(sK2,sK1,X26,X27)
| para(sK2,sK2,sK2,sK1) )
| ~ spl26_800 ),
inference(resolution,[],[f18836,f4185]) ).
fof(f18836,plain,
( cong(sK2,sK2,sK2,sK1)
| ~ spl26_800 ),
inference(avatar_component_clause,[],[f18834]) ).
fof(f22397,plain,
( ~ spl26_38
| ~ spl26_40
| ~ spl26_731
| spl26_869 ),
inference(avatar_contradiction_clause,[],[f22396]) ).
fof(f22396,plain,
( $false
| ~ spl26_38
| ~ spl26_40
| ~ spl26_731
| spl26_869 ),
inference(subsumption_resolution,[],[f22393,f17090]) ).
fof(f17090,plain,
( cong(sK2,sK1,sK1,sK1)
| ~ spl26_38
| ~ spl26_40
| ~ spl26_731 ),
inference(subsumption_resolution,[],[f17088,f15941]) ).
fof(f15941,plain,
( coll(sK2,sK1,sK1)
| ~ spl26_731 ),
inference(avatar_component_clause,[],[f15940]) ).
fof(f15940,plain,
( spl26_731
<=> coll(sK2,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_731])]) ).
fof(f17088,plain,
( ~ coll(sK2,sK1,sK1)
| cong(sK2,sK1,sK1,sK1)
| ~ spl26_38
| ~ spl26_40 ),
inference(resolution,[],[f1445,f5338]) ).
fof(f1445,plain,
( cong(sK2,sK1,sK2,sK1)
| ~ spl26_38 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl26_38
<=> cong(sK2,sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_38])]) ).
fof(f22393,plain,
( ~ cong(sK2,sK1,sK1,sK1)
| spl26_869 ),
inference(resolution,[],[f21150,f385]) ).
fof(f21150,plain,
( ~ cong(sK1,sK1,sK2,sK1)
| spl26_869 ),
inference(avatar_component_clause,[],[f21148]) ).
fof(f21045,plain,
( ~ spl26_646
| spl26_861 ),
inference(avatar_contradiction_clause,[],[f21032]) ).
fof(f21032,plain,
( $false
| ~ spl26_646
| spl26_861 ),
inference(resolution,[],[f21019,f14334]) ).
fof(f14334,plain,
( coll(sK2,sK1,sK0)
| ~ spl26_646 ),
inference(avatar_component_clause,[],[f14333]) ).
fof(f14333,plain,
( spl26_646
<=> coll(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_646])]) ).
fof(f21019,plain,
( ! [X0] : ~ coll(sK2,X0,sK0)
| spl26_861 ),
inference(duplicate_literal_removal,[],[f21014]) ).
fof(f21014,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK0)
| ~ coll(sK2,X0,sK0) )
| spl26_861 ),
inference(resolution,[],[f20986,f389]) ).
fof(f20986,plain,
( ~ coll(sK0,sK0,sK2)
| spl26_861 ),
inference(avatar_component_clause,[],[f20984]) ).
fof(f20355,plain,
( spl26_16
| ~ spl26_100
| ~ spl26_733
| ~ spl26_754
| ~ spl26_803 ),
inference(avatar_contradiction_clause,[],[f20354]) ).
fof(f20354,plain,
( $false
| spl26_16
| ~ spl26_100
| ~ spl26_733
| ~ spl26_754
| ~ spl26_803 ),
inference(subsumption_resolution,[],[f20301,f19267]) ).
fof(f19267,plain,
( perp(sK2,sK2,sK2,sK1)
| ~ spl26_100
| ~ spl26_803 ),
inference(resolution,[],[f18959,f3321]) ).
fof(f3321,plain,
( ! [X26,X24,X25,X23] :
( ~ para(X23,X24,X25,X26)
| perp(X23,X24,X25,X26) )
| ~ spl26_100 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f3320,plain,
( spl26_100
<=> ! [X24,X23,X25,X26] :
( perp(X23,X24,X25,X26)
| ~ para(X23,X24,X25,X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_100])]) ).
fof(f18959,plain,
( para(sK2,sK2,sK2,sK1)
| ~ spl26_803 ),
inference(avatar_component_clause,[],[f18957]) ).
fof(f20301,plain,
( ~ perp(sK2,sK2,sK2,sK1)
| spl26_16
| ~ spl26_733
| ~ spl26_754 ),
inference(resolution,[],[f20061,f1243]) ).
fof(f1243,plain,
( ! [X1] :
( ~ midp(sK2,sK2,X1)
| ~ perp(sK2,sK2,sK2,X1) )
| spl26_16 ),
inference(resolution,[],[f1184,f395]) ).
fof(f1184,plain,
( ~ cong(sK2,sK2,sK2,sK2)
| spl26_16 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f20061,plain,
( midp(sK2,sK2,sK1)
| ~ spl26_733
| ~ spl26_754 ),
inference(resolution,[],[f15954,f17142]) ).
fof(f17142,plain,
( para(sK1,sK1,sK1,sK2)
| ~ spl26_754 ),
inference(avatar_component_clause,[],[f17140]) ).
fof(f17140,plain,
( spl26_754
<=> para(sK1,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_754])]) ).
fof(f20228,plain,
( spl26_654
| ~ spl26_113
| ~ spl26_168
| ~ spl26_733 ),
inference(avatar_split_clause,[],[f20216,f15953,f5261,f4096,f14448]) ).
fof(f20216,plain,
( cong(sK0,sK2,sK0,sK1)
| ~ spl26_113
| ~ spl26_168
| ~ spl26_733 ),
inference(resolution,[],[f20059,f5262]) ).
fof(f19218,plain,
( ~ spl26_353
| spl26_800 ),
inference(avatar_contradiction_clause,[],[f19217]) ).
fof(f19217,plain,
( $false
| ~ spl26_353
| spl26_800 ),
inference(subsumption_resolution,[],[f19214,f9274]) ).
fof(f9274,plain,
( cong(sK2,sK2,sK1,sK2)
| ~ spl26_353 ),
inference(avatar_component_clause,[],[f9273]) ).
fof(f9273,plain,
( spl26_353
<=> cong(sK2,sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_353])]) ).
fof(f19214,plain,
( ~ cong(sK2,sK2,sK1,sK2)
| spl26_800 ),
inference(resolution,[],[f18835,f384]) ).
fof(f18835,plain,
( ~ cong(sK2,sK2,sK2,sK1)
| spl26_800 ),
inference(avatar_component_clause,[],[f18834]) ).
fof(f18499,plain,
( ~ spl26_770
| spl26_795 ),
inference(avatar_contradiction_clause,[],[f18498]) ).
fof(f18498,plain,
( $false
| ~ spl26_770
| spl26_795 ),
inference(subsumption_resolution,[],[f18490,f17615]) ).
fof(f17615,plain,
( coll(sK1,sK2,sK2)
| ~ spl26_770 ),
inference(avatar_component_clause,[],[f17614]) ).
fof(f17614,plain,
( spl26_770
<=> coll(sK1,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_770])]) ).
fof(f18490,plain,
( ~ coll(sK1,sK2,sK2)
| spl26_795 ),
inference(resolution,[],[f18480,f371]) ).
fof(f18480,plain,
( ~ coll(sK2,sK1,sK2)
| spl26_795 ),
inference(avatar_component_clause,[],[f18478]) ).
fof(f17702,plain,
( ~ spl26_747
| spl26_770 ),
inference(avatar_contradiction_clause,[],[f17691]) ).
fof(f17691,plain,
( $false
| ~ spl26_747
| spl26_770 ),
inference(resolution,[],[f17689,f17109]) ).
fof(f17109,plain,
( coll(sK1,sK1,sK2)
| ~ spl26_747 ),
inference(avatar_component_clause,[],[f17108]) ).
fof(f17108,plain,
( spl26_747
<=> coll(sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_747])]) ).
fof(f17689,plain,
( ! [X0] : ~ coll(sK1,X0,sK2)
| spl26_770 ),
inference(duplicate_literal_removal,[],[f17684]) ).
fof(f17684,plain,
( ! [X0] :
( ~ coll(sK1,X0,sK2)
| ~ coll(sK1,X0,sK2) )
| spl26_770 ),
inference(resolution,[],[f17666,f389]) ).
fof(f17666,plain,
( ~ coll(sK2,sK2,sK1)
| spl26_770 ),
inference(resolution,[],[f17655,f370]) ).
fof(f17655,plain,
( ~ coll(sK2,sK1,sK2)
| spl26_770 ),
inference(resolution,[],[f17616,f371]) ).
fof(f17616,plain,
( ~ coll(sK1,sK2,sK2)
| spl26_770 ),
inference(avatar_component_clause,[],[f17614]) ).
fof(f17652,plain,
( ~ spl26_770
| ~ spl26_40
| spl26_353
| ~ spl26_724 ),
inference(avatar_split_clause,[],[f17651,f15876,f9273,f1468,f17614]) ).
fof(f15876,plain,
( spl26_724
<=> cong(sK1,sK2,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_724])]) ).
fof(f17651,plain,
( ~ coll(sK1,sK2,sK2)
| ~ spl26_40
| spl26_353
| ~ spl26_724 ),
inference(subsumption_resolution,[],[f17608,f16812]) ).
fof(f16812,plain,
( ~ cong(sK1,sK2,sK2,sK2)
| spl26_353 ),
inference(resolution,[],[f9275,f385]) ).
fof(f9275,plain,
( ~ cong(sK2,sK2,sK1,sK2)
| spl26_353 ),
inference(avatar_component_clause,[],[f9273]) ).
fof(f17608,plain,
( ~ coll(sK1,sK2,sK2)
| cong(sK1,sK2,sK2,sK2)
| ~ spl26_40
| ~ spl26_724 ),
inference(resolution,[],[f15877,f5338]) ).
fof(f15877,plain,
( cong(sK1,sK2,sK1,sK2)
| ~ spl26_724 ),
inference(avatar_component_clause,[],[f15876]) ).
fof(f17572,plain,
( ~ spl26_40
| ~ spl26_637
| spl26_724
| ~ spl26_752 ),
inference(avatar_contradiction_clause,[],[f17571]) ).
fof(f17571,plain,
( $false
| ~ spl26_40
| ~ spl26_637
| spl26_724
| ~ spl26_752 ),
inference(subsumption_resolution,[],[f17570,f16171]) ).
fof(f16171,plain,
( ~ cong(sK1,sK2,sK2,sK1)
| spl26_724 ),
inference(resolution,[],[f15878,f384]) ).
fof(f15878,plain,
( ~ cong(sK1,sK2,sK1,sK2)
| spl26_724 ),
inference(avatar_component_clause,[],[f15876]) ).
fof(f17570,plain,
( cong(sK1,sK2,sK2,sK1)
| ~ spl26_40
| ~ spl26_637
| ~ spl26_752 ),
inference(subsumption_resolution,[],[f17567,f17130]) ).
fof(f17130,plain,
( coll(sK1,sK2,sK1)
| ~ spl26_752 ),
inference(avatar_component_clause,[],[f17129]) ).
fof(f17129,plain,
( spl26_752
<=> coll(sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_752])]) ).
fof(f17567,plain,
( ~ coll(sK1,sK2,sK1)
| cong(sK1,sK2,sK2,sK1)
| ~ spl26_40
| ~ spl26_637 ),
inference(resolution,[],[f14191,f5338]) ).
fof(f14191,plain,
( cong(sK1,sK2,sK1,sK1)
| ~ spl26_637 ),
inference(avatar_component_clause,[],[f14190]) ).
fof(f14190,plain,
( spl26_637
<=> cong(sK1,sK2,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_637])]) ).
fof(f17367,plain,
( ~ spl26_611
| ~ spl26_755 ),
inference(avatar_contradiction_clause,[],[f17366]) ).
fof(f17366,plain,
( $false
| ~ spl26_611
| ~ spl26_755 ),
inference(resolution,[],[f17145,f13471]) ).
fof(f17145,plain,
( ! [X22,X23] : ~ perp(sK1,sK2,X22,X23)
| ~ spl26_755 ),
inference(avatar_component_clause,[],[f17144]) ).
fof(f17144,plain,
( spl26_755
<=> ! [X22,X23] : ~ perp(sK1,sK2,X22,X23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_755])]) ).
fof(f17192,plain,
( ~ spl26_731
| spl26_752 ),
inference(avatar_contradiction_clause,[],[f17191]) ).
fof(f17191,plain,
( $false
| ~ spl26_731
| spl26_752 ),
inference(subsumption_resolution,[],[f17169,f15941]) ).
fof(f17169,plain,
( ~ coll(sK2,sK1,sK1)
| spl26_752 ),
inference(resolution,[],[f17131,f371]) ).
fof(f17131,plain,
( ~ coll(sK1,sK2,sK1)
| spl26_752 ),
inference(avatar_component_clause,[],[f17129]) ).
fof(f17190,plain,
( ~ spl26_731
| spl26_747 ),
inference(avatar_contradiction_clause,[],[f17179]) ).
fof(f17179,plain,
( $false
| ~ spl26_731
| spl26_747 ),
inference(resolution,[],[f17165,f15941]) ).
fof(f17165,plain,
( ! [X0] : ~ coll(sK2,X0,sK1)
| spl26_747 ),
inference(duplicate_literal_removal,[],[f17160]) ).
fof(f17160,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK1)
| ~ coll(sK2,X0,sK1) )
| spl26_747 ),
inference(resolution,[],[f17110,f389]) ).
fof(f17110,plain,
( ~ coll(sK1,sK1,sK2)
| spl26_747 ),
inference(avatar_component_clause,[],[f17108]) ).
fof(f17146,plain,
( spl26_754
| spl26_755
| ~ spl26_640 ),
inference(avatar_split_clause,[],[f17138,f14217,f17144,f17140]) ).
fof(f14217,plain,
( spl26_640
<=> cong(sK1,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_640])]) ).
fof(f17138,plain,
( ! [X22,X23] :
( ~ perp(sK1,sK2,X22,X23)
| para(sK1,sK1,sK1,sK2) )
| ~ spl26_640 ),
inference(subsumption_resolution,[],[f17104,f387]) ).
fof(f17104,plain,
( ! [X22,X23] :
( ~ perp(X22,X23,sK1,sK2)
| ~ perp(sK1,sK2,X22,X23)
| para(sK1,sK1,sK1,sK2) )
| ~ spl26_640 ),
inference(resolution,[],[f14218,f4185]) ).
fof(f14218,plain,
( cong(sK1,sK1,sK1,sK2)
| ~ spl26_640 ),
inference(avatar_component_clause,[],[f14217]) ).
fof(f17063,plain,
( ~ spl26_640
| spl26_637 ),
inference(avatar_split_clause,[],[f14264,f14190,f14217]) ).
fof(f14264,plain,
( ~ cong(sK1,sK1,sK1,sK2)
| spl26_637 ),
inference(resolution,[],[f14192,f385]) ).
fof(f14192,plain,
( ~ cong(sK1,sK2,sK1,sK1)
| spl26_637 ),
inference(avatar_component_clause,[],[f14190]) ).
fof(f17062,plain,
( ~ spl26_646
| spl26_731 ),
inference(avatar_contradiction_clause,[],[f17046]) ).
fof(f17046,plain,
( $false
| ~ spl26_646
| spl26_731 ),
inference(resolution,[],[f17031,f14334]) ).
fof(f17031,plain,
( ! [X1] : ~ coll(sK2,sK1,X1)
| spl26_731 ),
inference(resolution,[],[f16916,f370]) ).
fof(f16916,plain,
( ! [X0] : ~ coll(sK2,X0,sK1)
| spl26_731 ),
inference(duplicate_literal_removal,[],[f16911]) ).
fof(f16911,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK1)
| ~ coll(sK2,X0,sK1) )
| spl26_731 ),
inference(resolution,[],[f16896,f389]) ).
fof(f16896,plain,
( ~ coll(sK1,sK1,sK2)
| spl26_731 ),
inference(resolution,[],[f16885,f370]) ).
fof(f16885,plain,
( ~ coll(sK1,sK2,sK1)
| spl26_731 ),
inference(resolution,[],[f15942,f371]) ).
fof(f15942,plain,
( ~ coll(sK2,sK1,sK1)
| spl26_731 ),
inference(avatar_component_clause,[],[f15940]) ).
fof(f16861,plain,
( ~ spl26_263
| ~ spl26_314
| spl26_699 ),
inference(avatar_contradiction_clause,[],[f16860]) ).
fof(f16860,plain,
( $false
| ~ spl26_263
| ~ spl26_314
| spl26_699 ),
inference(subsumption_resolution,[],[f16859,f6875]) ).
fof(f6875,plain,
( cong(sK3,sK1,sK3,sK3)
| ~ spl26_263 ),
inference(avatar_component_clause,[],[f6874]) ).
fof(f6874,plain,
( spl26_263
<=> cong(sK3,sK1,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_263])]) ).
fof(f16859,plain,
( ~ cong(sK3,sK1,sK3,sK3)
| ~ spl26_314
| spl26_699 ),
inference(subsumption_resolution,[],[f16857,f8450]) ).
fof(f8450,plain,
( coll(sK3,sK1,sK3)
| ~ spl26_314 ),
inference(avatar_component_clause,[],[f8449]) ).
fof(f8449,plain,
( spl26_314
<=> coll(sK3,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_314])]) ).
fof(f16857,plain,
( ~ coll(sK3,sK1,sK3)
| ~ cong(sK3,sK1,sK3,sK3)
| spl26_699 ),
inference(resolution,[],[f15533,f374]) ).
fof(f15533,plain,
( ~ midp(sK3,sK1,sK3)
| spl26_699 ),
inference(avatar_component_clause,[],[f15532]) ).
fof(f15532,plain,
( spl26_699
<=> midp(sK3,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_699])]) ).
fof(f16848,plain,
( ~ spl26_699
| ~ spl26_48
| spl26_710 ),
inference(avatar_split_clause,[],[f16844,f15692,f1996,f15532]) ).
fof(f1996,plain,
( spl26_48
<=> midp(sK3,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_48])]) ).
fof(f15692,plain,
( spl26_710
<=> para(sK3,sK1,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_710])]) ).
fof(f16844,plain,
( ~ midp(sK3,sK1,sK3)
| ~ spl26_48
| spl26_710 ),
inference(resolution,[],[f16189,f1998]) ).
fof(f1998,plain,
( midp(sK3,sK0,sK1)
| ~ spl26_48 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f16189,plain,
( ! [X0] :
( ~ midp(X0,sK0,sK1)
| ~ midp(X0,sK1,sK3) )
| spl26_710 ),
inference(resolution,[],[f16021,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD63) ).
fof(f16021,plain,
( ~ para(sK1,sK0,sK3,sK1)
| spl26_710 ),
inference(resolution,[],[f15693,f383]) ).
fof(f15693,plain,
( ~ para(sK3,sK1,sK1,sK0)
| spl26_710 ),
inference(avatar_component_clause,[],[f15692]) ).
fof(f16735,plain,
( ~ spl26_353
| spl26_738 ),
inference(avatar_split_clause,[],[f16734,f16362,f9273]) ).
fof(f16734,plain,
( ~ cong(sK2,sK2,sK1,sK2)
| spl26_738 ),
inference(resolution,[],[f16525,f384]) ).
fof(f16525,plain,
( ~ cong(sK2,sK2,sK2,sK1)
| spl26_738 ),
inference(resolution,[],[f16364,f385]) ).
fof(f16364,plain,
( ~ cong(sK2,sK1,sK2,sK2)
| spl26_738 ),
inference(avatar_component_clause,[],[f16362]) ).
fof(f15955,plain,
( ~ spl26_731
| spl26_733
| ~ spl26_38 ),
inference(avatar_split_clause,[],[f15951,f1444,f15953,f15940]) ).
fof(f15951,plain,
( ! [X21,X22] :
( midp(sK2,X21,X22)
| ~ coll(sK2,sK1,sK1)
| ~ para(sK1,X22,sK1,X21) )
| ~ spl26_38 ),
inference(subsumption_resolution,[],[f15924,f383]) ).
fof(f15924,plain,
( ! [X21,X22] :
( ~ para(sK1,X21,sK1,X22)
| midp(sK2,X21,X22)
| ~ coll(sK2,sK1,sK1)
| ~ para(sK1,X22,sK1,X21) )
| ~ spl26_38 ),
inference(resolution,[],[f1445,f877]) ).
fof(f877,plain,
! [X2,X3,X6,X4,X5] :
( ~ cong(X6,X2,X6,X4)
| ~ para(X2,X5,X4,X3)
| midp(X6,X5,X3)
| ~ coll(X6,X2,X4)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f417,f374]) ).
fof(f417,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X1)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD64) ).
fof(f15950,plain,
( ~ spl26_731
| ~ spl26_38
| ~ spl26_40
| spl26_640 ),
inference(avatar_split_clause,[],[f15949,f14217,f1468,f1444,f15940]) ).
fof(f15949,plain,
( ~ coll(sK2,sK1,sK1)
| ~ spl26_38
| ~ spl26_40
| spl26_640 ),
inference(subsumption_resolution,[],[f15923,f14259]) ).
fof(f14259,plain,
( ~ cong(sK2,sK1,sK1,sK1)
| spl26_640 ),
inference(resolution,[],[f14248,f385]) ).
fof(f14248,plain,
( ~ cong(sK1,sK1,sK2,sK1)
| spl26_640 ),
inference(resolution,[],[f14219,f384]) ).
fof(f14219,plain,
( ~ cong(sK1,sK1,sK1,sK2)
| spl26_640 ),
inference(avatar_component_clause,[],[f14217]) ).
fof(f15923,plain,
( ~ coll(sK2,sK1,sK1)
| cong(sK2,sK1,sK1,sK1)
| ~ spl26_38
| ~ spl26_40 ),
inference(resolution,[],[f1445,f5338]) ).
fof(f15874,plain,
( ~ spl26_469
| spl26_641 ),
inference(avatar_contradiction_clause,[],[f15873]) ).
fof(f15873,plain,
( $false
| ~ spl26_469
| spl26_641 ),
inference(subsumption_resolution,[],[f15872,f10438]) ).
fof(f10438,plain,
( perp(sK1,sK1,sK1,sK2)
| ~ spl26_469 ),
inference(avatar_component_clause,[],[f10437]) ).
fof(f10437,plain,
( spl26_469
<=> perp(sK1,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_469])]) ).
fof(f15872,plain,
( ~ perp(sK1,sK1,sK1,sK2)
| spl26_641 ),
inference(resolution,[],[f14224,f386]) ).
fof(f14224,plain,
( ~ perp(sK1,sK1,sK2,sK1)
| spl26_641 ),
inference(avatar_component_clause,[],[f14222]) ).
fof(f14222,plain,
( spl26_641
<=> perp(sK1,sK1,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_641])]) ).
fof(f15868,plain,
( ~ spl26_641
| spl26_638 ),
inference(avatar_split_clause,[],[f15864,f14194,f14222]) ).
fof(f14194,plain,
( spl26_638
<=> perp(sK2,sK1,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_638])]) ).
fof(f15864,plain,
( ~ perp(sK1,sK1,sK2,sK1)
| spl26_638 ),
inference(resolution,[],[f14195,f387]) ).
fof(f14195,plain,
( ~ perp(sK2,sK1,sK1,sK1)
| spl26_638 ),
inference(avatar_component_clause,[],[f14194]) ).
fof(f15829,plain,
( ~ spl26_638
| spl26_38
| ~ spl26_700 ),
inference(avatar_split_clause,[],[f15775,f15539,f1444,f14194]) ).
fof(f15775,plain,
( ~ perp(sK2,sK1,sK1,sK1)
| spl26_38
| ~ spl26_700 ),
inference(resolution,[],[f15541,f1452]) ).
fof(f1452,plain,
( ! [X0] :
( ~ midp(X0,sK1,sK1)
| ~ perp(sK2,X0,sK1,sK1) )
| spl26_38 ),
inference(resolution,[],[f1446,f388]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD55) ).
fof(f1446,plain,
( ~ cong(sK2,sK1,sK2,sK1)
| spl26_38 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f15770,plain,
( spl26_700
| ~ spl26_701
| ~ spl26_710 ),
inference(avatar_split_clause,[],[f15769,f15692,f15543,f15539]) ).
fof(f15543,plain,
( spl26_701
<=> coll(sK1,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_701])]) ).
fof(f15769,plain,
( midp(sK1,sK1,sK1)
| ~ spl26_701
| ~ spl26_710 ),
inference(subsumption_resolution,[],[f15741,f15544]) ).
fof(f15544,plain,
( coll(sK1,sK1,sK1)
| ~ spl26_701 ),
inference(avatar_component_clause,[],[f15543]) ).
fof(f15741,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ spl26_710 ),
inference(resolution,[],[f15694,f674]) ).
fof(f674,plain,
! [X0,X1] :
( ~ para(sK3,X0,X1,sK0)
| midp(X0,sK1,X1)
| ~ coll(X0,sK1,X1) ),
inference(resolution,[],[f671,f382]) ).
fof(f671,plain,
! [X0,X1] :
( ~ para(sK3,X0,sK0,X1)
| ~ coll(X0,sK1,X1)
| midp(X0,sK1,X1) ),
inference(resolution,[],[f416,f361]) ).
fof(f361,plain,
midp(sK3,sK1,sK0),
inference(cnf_transformation,[],[f322]) ).
fof(f416,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X3,X0,X1)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD45) ).
fof(f15694,plain,
( para(sK3,sK1,sK1,sK0)
| ~ spl26_710 ),
inference(avatar_component_clause,[],[f15692]) ).
fof(f15619,plain,
( ~ spl26_240
| spl26_701 ),
inference(avatar_contradiction_clause,[],[f15606]) ).
fof(f15606,plain,
( $false
| ~ spl26_240
| spl26_701 ),
inference(resolution,[],[f15558,f6335]) ).
fof(f6335,plain,
( coll(sK1,sK3,sK1)
| ~ spl26_240 ),
inference(avatar_component_clause,[],[f6334]) ).
fof(f6334,plain,
( spl26_240
<=> coll(sK1,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_240])]) ).
fof(f15558,plain,
( ! [X0] : ~ coll(sK1,X0,sK1)
| spl26_701 ),
inference(duplicate_literal_removal,[],[f15553]) ).
fof(f15553,plain,
( ! [X0] :
( ~ coll(sK1,X0,sK1)
| ~ coll(sK1,X0,sK1) )
| spl26_701 ),
inference(resolution,[],[f15545,f389]) ).
fof(f15545,plain,
( ~ coll(sK1,sK1,sK1)
| spl26_701 ),
inference(avatar_component_clause,[],[f15543]) ).
fof(f15213,plain,
( ~ spl26_78
| spl26_646 ),
inference(avatar_contradiction_clause,[],[f15205]) ).
fof(f15205,plain,
( $false
| ~ spl26_78
| spl26_646 ),
inference(resolution,[],[f15120,f360]) ).
fof(f360,plain,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f15120,plain,
( ! [X8,X7] : ~ perp(sK2,sK0,X7,X8)
| ~ spl26_78
| spl26_646 ),
inference(subsumption_resolution,[],[f15116,f387]) ).
fof(f15116,plain,
( ! [X8,X7] :
( ~ perp(X7,X8,sK2,sK0)
| ~ perp(sK2,sK0,X7,X8) )
| ~ spl26_78
| spl26_646 ),
inference(resolution,[],[f14858,f450]) ).
fof(f14858,plain,
( ~ para(sK2,sK0,sK2,sK0)
| ~ spl26_78
| spl26_646 ),
inference(resolution,[],[f14794,f372]) ).
fof(f372,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD66) ).
fof(f14794,plain,
( ~ coll(sK2,sK0,sK0)
| ~ spl26_78
| spl26_646 ),
inference(resolution,[],[f14773,f371]) ).
fof(f14773,plain,
( ~ coll(sK0,sK2,sK0)
| ~ spl26_78
| spl26_646 ),
inference(resolution,[],[f14745,f2562]) ).
fof(f2562,plain,
( coll(sK0,sK0,sK1)
| ~ spl26_78 ),
inference(avatar_component_clause,[],[f2561]) ).
fof(f2561,plain,
( spl26_78
<=> coll(sK0,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_78])]) ).
fof(f14745,plain,
( ! [X1] :
( ~ coll(sK0,X1,sK1)
| ~ coll(sK0,sK2,X1) )
| spl26_646 ),
inference(resolution,[],[f14344,f370]) ).
fof(f14344,plain,
( ! [X0] :
( ~ coll(sK0,X0,sK2)
| ~ coll(sK0,X0,sK1) )
| spl26_646 ),
inference(resolution,[],[f14335,f389]) ).
fof(f14335,plain,
( ~ coll(sK2,sK1,sK0)
| spl26_646 ),
inference(avatar_component_clause,[],[f14333]) ).
fof(f14188,plain,
( ~ spl26_101
| spl26_469 ),
inference(avatar_contradiction_clause,[],[f14187]) ).
fof(f14187,plain,
( $false
| ~ spl26_101
| spl26_469 ),
inference(resolution,[],[f14184,f3576]) ).
fof(f3576,plain,
( ! [X8] : midp(sK24(sK1,sK0,sK1,sK0,sK3,sK3,X8),sK1,X8)
| ~ spl26_101 ),
inference(avatar_component_clause,[],[f3575]) ).
fof(f3575,plain,
( spl26_101
<=> ! [X8] : midp(sK24(sK1,sK0,sK1,sK0,sK3,sK3,X8),sK1,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_101])]) ).
fof(f14184,plain,
( ! [X2] : ~ midp(X2,sK1,sK2)
| spl26_469 ),
inference(subsumption_resolution,[],[f14181,f368]) ).
fof(f14181,plain,
( ! [X2] :
( ~ coll(X2,sK1,sK2)
| ~ midp(X2,sK1,sK2) )
| spl26_469 ),
inference(resolution,[],[f13140,f369]) ).
fof(f13140,plain,
( ! [X0] :
( ~ cong(X0,sK1,X0,sK2)
| ~ coll(X0,sK1,sK2) )
| spl26_469 ),
inference(subsumption_resolution,[],[f13137,f612]) ).
fof(f13137,plain,
( ! [X0] :
( ~ coll(X0,sK1,sK2)
| ~ cong(X0,sK1,X0,sK2)
| ~ cong(X0,sK1,X0,sK1) )
| spl26_469 ),
inference(resolution,[],[f10445,f392]) ).
fof(f10445,plain,
( ! [X2] :
( ~ circle(X2,sK1,sK1,sK2)
| ~ coll(X2,sK1,sK2) )
| spl26_469 ),
inference(resolution,[],[f10439,f390]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD53) ).
fof(f10439,plain,
( ~ perp(sK1,sK1,sK1,sK2)
| spl26_469 ),
inference(avatar_component_clause,[],[f10437]) ).
fof(f13922,plain,
( ~ spl26_611
| spl26_612 ),
inference(avatar_contradiction_clause,[],[f13921]) ).
fof(f13921,plain,
( $false
| ~ spl26_611
| spl26_612 ),
inference(subsumption_resolution,[],[f13917,f13471]) ).
fof(f13917,plain,
( ~ perp(sK2,sK5,sK2,sK5)
| spl26_612 ),
inference(resolution,[],[f13579,f386]) ).
fof(f13579,plain,
( ~ perp(sK2,sK5,sK5,sK2)
| spl26_612 ),
inference(avatar_component_clause,[],[f13577]) ).
fof(f13526,plain,
( spl26_586
| spl26_586
| ~ spl26_610 ),
inference(avatar_split_clause,[],[f13486,f13467,f12665,f12665]) ).
fof(f12665,plain,
( spl26_586
<=> ! [X6,X7,X8] : ~ midp(X8,X6,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_586])]) ).
fof(f13467,plain,
( spl26_610
<=> ! [X25,X23,X24,X26] : ~ para(X23,X24,X25,X26) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_610])]) ).
fof(f13486,plain,
( ! [X65,X62,X63,X60,X61,X64] :
( ~ midp(X60,X61,X62)
| ~ midp(X63,X64,X65) )
| ~ spl26_610 ),
inference(resolution,[],[f13468,f454]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK20(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( para(sK20(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK20(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK20(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f290,f349]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) )
=> ( ( para(sK20(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK20(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK20(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X6,X16] :
? [X8] :
( ( midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> ( para(X8,X16,X0,X2)
& para(X8,X6,X1,X3)
& midp(X8,X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleX6) ).
fof(f13468,plain,
( ! [X26,X24,X25,X23] : ~ para(X23,X24,X25,X26)
| ~ spl26_610 ),
inference(avatar_component_clause,[],[f13467]) ).
fof(f13472,plain,
( spl26_610
| spl26_611
| ~ spl26_100 ),
inference(avatar_split_clause,[],[f13465,f3320,f13470,f13467]) ).
fof(f13465,plain,
( ! [X28,X26,X27,X24,X25,X23] :
( perp(X27,X28,X27,X28)
| ~ para(X23,X24,X25,X26) )
| ~ spl26_100 ),
inference(subsumption_resolution,[],[f13454,f3321]) ).
fof(f13454,plain,
! [X28,X26,X27,X24,X25,X23] :
( ~ perp(X23,X24,X25,X26)
| perp(X27,X28,X27,X28)
| ~ para(X23,X24,X25,X26) ),
inference(resolution,[],[f3314,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD40) ).
fof(f3314,plain,
! [X65,X72,X70,X71,X68,X69,X66,X67] :
( ~ eqangle(X69,X70,X65,X66,X71,X72,X67,X68)
| ~ perp(X69,X70,X71,X72)
| perp(X65,X66,X67,X68) ),
inference(resolution,[],[f1513,f469]) ).
fof(f1513,plain,
! [X31,X29,X36,X34,X35,X32,X30,X33] :
( ~ eqangle(X33,X34,X29,X30,X35,X36,X31,X32)
| perp(X33,X34,X35,X36)
| ~ perp(X29,X30,X31,X32) ),
inference(resolution,[],[f475,f472]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD21) ).
fof(f12747,plain,
( spl26_586
| spl26_592
| ~ spl26_98 ),
inference(avatar_split_clause,[],[f12743,f3208,f12745,f12665]) ).
fof(f12743,plain,
( ! [X10,X11,X8,X6,X9,X7] :
( cong(X9,X10,X9,X11)
| ~ midp(X8,X6,X7)
| ~ midp(X11,X9,X10) )
| ~ spl26_98 ),
inference(subsumption_resolution,[],[f12736,f3209]) ).
fof(f12736,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ cong(X6,X7,X8,X6)
| cong(X9,X10,X9,X11)
| ~ midp(X8,X6,X7)
| ~ midp(X11,X9,X10) ),
inference(resolution,[],[f3202,f445]) ).
fof(f445,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X6,X16] :
( ( midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> eqratio(X6,X0,X0,X1,X16,X2,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD70) ).
fof(f3202,plain,
! [X50,X51,X48,X46,X49,X47,X45,X52] :
( ~ eqratio(X48,X47,X45,X46,X51,X52,X49,X50)
| ~ cong(X49,X50,X51,X52)
| cong(X45,X46,X47,X48) ),
inference(resolution,[],[f1466,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD26) ).
fof(f1466,plain,
! [X40,X38,X41,X39,X36,X37,X42,X43] :
( ~ eqratio(X42,X43,X40,X41,X38,X39,X36,X37)
| cong(X40,X41,X42,X43)
| ~ cong(X36,X37,X38,X39) ),
inference(resolution,[],[f473,f465]) ).
fof(f465,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD27) ).
fof(f12692,plain,
~ spl26_586,
inference(avatar_contradiction_clause,[],[f12675]) ).
fof(f12675,plain,
( $false
| ~ spl26_586 ),
inference(resolution,[],[f12666,f361]) ).
fof(f12666,plain,
( ! [X8,X6,X7] : ~ midp(X8,X6,X7)
| ~ spl26_586 ),
inference(avatar_component_clause,[],[f12665]) ).
fof(f12670,plain,
( spl26_586
| spl26_587
| ~ spl26_98 ),
inference(avatar_split_clause,[],[f12663,f3208,f12668,f12665]) ).
fof(f12663,plain,
( ! [X10,X11,X8,X6,X9,X7] :
( cong(X9,X10,X11,X10)
| ~ midp(X8,X6,X7)
| ~ midp(X11,X10,X9) )
| ~ spl26_98 ),
inference(subsumption_resolution,[],[f12656,f3209]) ).
fof(f12656,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ cong(X6,X7,X8,X6)
| cong(X9,X10,X11,X10)
| ~ midp(X8,X6,X7)
| ~ midp(X11,X10,X9) ),
inference(resolution,[],[f3179,f445]) ).
fof(f3179,plain,
! [X58,X59,X56,X54,X57,X55,X53,X60] :
( ~ eqratio(X55,X56,X54,X53,X59,X60,X57,X58)
| ~ cong(X57,X58,X59,X60)
| cong(X53,X54,X55,X56) ),
inference(resolution,[],[f1465,f465]) ).
fof(f1465,plain,
! [X31,X28,X29,X34,X35,X32,X30,X33] :
( ~ eqratio(X33,X32,X34,X35,X28,X29,X30,X31)
| cong(X32,X33,X34,X35)
| ~ cong(X28,X29,X30,X31) ),
inference(resolution,[],[f473,f466]) ).
fof(f8472,plain,
( ~ spl26_306
| spl26_314 ),
inference(avatar_contradiction_clause,[],[f8471]) ).
fof(f8471,plain,
( $false
| ~ spl26_306
| spl26_314 ),
inference(subsumption_resolution,[],[f8463,f8101]) ).
fof(f8101,plain,
( coll(sK1,sK3,sK3)
| ~ spl26_306 ),
inference(avatar_component_clause,[],[f8100]) ).
fof(f8100,plain,
( spl26_306
<=> coll(sK1,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_306])]) ).
fof(f8463,plain,
( ~ coll(sK1,sK3,sK3)
| spl26_314 ),
inference(resolution,[],[f8451,f371]) ).
fof(f8451,plain,
( ~ coll(sK3,sK1,sK3)
| spl26_314 ),
inference(avatar_component_clause,[],[f8449]) ).
fof(f8419,plain,
( spl26_263
| ~ spl26_305 ),
inference(avatar_contradiction_clause,[],[f8418]) ).
fof(f8418,plain,
( $false
| spl26_263
| ~ spl26_305 ),
inference(subsumption_resolution,[],[f8415,f8098]) ).
fof(f8098,plain,
( cong(sK1,sK3,sK3,sK3)
| ~ spl26_305 ),
inference(avatar_component_clause,[],[f8096]) ).
fof(f8096,plain,
( spl26_305
<=> cong(sK1,sK3,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_305])]) ).
fof(f8415,plain,
( ~ cong(sK1,sK3,sK3,sK3)
| spl26_263 ),
inference(resolution,[],[f7169,f385]) ).
fof(f7169,plain,
( ~ cong(sK3,sK3,sK1,sK3)
| spl26_263 ),
inference(resolution,[],[f6929,f384]) ).
fof(f6929,plain,
( ~ cong(sK3,sK3,sK3,sK1)
| spl26_263 ),
inference(resolution,[],[f6876,f385]) ).
fof(f6876,plain,
( ~ cong(sK3,sK1,sK3,sK3)
| spl26_263 ),
inference(avatar_component_clause,[],[f6874]) ).
fof(f8196,plain,
( ~ spl26_283
| spl26_306 ),
inference(avatar_contradiction_clause,[],[f8185]) ).
fof(f8185,plain,
( $false
| ~ spl26_283
| spl26_306 ),
inference(resolution,[],[f8152,f7196]) ).
fof(f7196,plain,
( coll(sK1,sK0,sK3)
| ~ spl26_283 ),
inference(avatar_component_clause,[],[f7195]) ).
fof(f7195,plain,
( spl26_283
<=> coll(sK1,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_283])]) ).
fof(f8152,plain,
( ! [X0] : ~ coll(sK1,X0,sK3)
| spl26_306 ),
inference(duplicate_literal_removal,[],[f8147]) ).
fof(f8147,plain,
( ! [X0] :
( ~ coll(sK1,X0,sK3)
| ~ coll(sK1,X0,sK3) )
| spl26_306 ),
inference(resolution,[],[f8132,f389]) ).
fof(f8132,plain,
( ~ coll(sK3,sK3,sK1)
| spl26_306 ),
inference(resolution,[],[f8121,f370]) ).
fof(f8121,plain,
( ~ coll(sK3,sK1,sK3)
| spl26_306 ),
inference(resolution,[],[f8102,f371]) ).
fof(f8102,plain,
( ~ coll(sK1,sK3,sK3)
| spl26_306 ),
inference(avatar_component_clause,[],[f8100]) ).
fof(f8103,plain,
( spl26_305
| ~ spl26_306
| ~ spl26_40
| ~ spl26_301 ),
inference(avatar_split_clause,[],[f8091,f8033,f1468,f8100,f8096]) ).
fof(f8033,plain,
( spl26_301
<=> cong(sK1,sK3,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_301])]) ).
fof(f8091,plain,
( ~ coll(sK1,sK3,sK3)
| cong(sK1,sK3,sK3,sK3)
| ~ spl26_40
| ~ spl26_301 ),
inference(resolution,[],[f8034,f5338]) ).
fof(f8034,plain,
( cong(sK1,sK3,sK1,sK3)
| ~ spl26_301 ),
inference(avatar_component_clause,[],[f8033]) ).
fof(f8077,plain,
( ~ spl26_245
| spl26_301 ),
inference(avatar_contradiction_clause,[],[f8076]) ).
fof(f8076,plain,
( $false
| ~ spl26_245
| spl26_301 ),
inference(subsumption_resolution,[],[f8074,f6414]) ).
fof(f6414,plain,
( cong(sK1,sK3,sK3,sK1)
| ~ spl26_245 ),
inference(avatar_component_clause,[],[f6412]) ).
fof(f6412,plain,
( spl26_245
<=> cong(sK1,sK3,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_245])]) ).
fof(f8074,plain,
( ~ cong(sK1,sK3,sK3,sK1)
| spl26_301 ),
inference(resolution,[],[f8035,f384]) ).
fof(f8035,plain,
( ~ cong(sK1,sK3,sK1,sK3)
| spl26_301 ),
inference(avatar_component_clause,[],[f8033]) ).
fof(f7611,plain,
( spl26_79
| ~ spl26_100
| ~ spl26_110 ),
inference(avatar_split_clause,[],[f7610,f3711,f3320,f2603]) ).
fof(f2603,plain,
( spl26_79
<=> perp(sK0,sK0,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_79])]) ).
fof(f3711,plain,
( spl26_110
<=> cong(sK3,sK0,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_110])]) ).
fof(f7610,plain,
( perp(sK0,sK0,sK3,sK0)
| ~ spl26_100
| ~ spl26_110 ),
inference(subsumption_resolution,[],[f7261,f3321]) ).
fof(f7261,plain,
( para(sK0,sK0,sK3,sK0)
| perp(sK0,sK0,sK3,sK0)
| ~ spl26_110 ),
inference(resolution,[],[f2654,f3712]) ).
fof(f3712,plain,
( cong(sK3,sK0,sK3,sK0)
| ~ spl26_110 ),
inference(avatar_component_clause,[],[f3711]) ).
fof(f2654,plain,
! [X0,X1] :
( ~ cong(X1,X0,X1,X0)
| para(X0,X0,X1,X0)
| perp(X0,X0,X1,X0) ),
inference(resolution,[],[f1117,f373]) ).
fof(f1117,plain,
! [X16,X14,X17,X15] :
( ~ eqangle(X16,X17,X14,X15,X14,X15,X16,X17)
| perp(X14,X15,X16,X17)
| para(X14,X15,X16,X17) ),
inference(resolution,[],[f398,f471]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD20) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2,X3] :
( ( ~ para(X0,X1,X2,X3)
& eqangle(X0,X1,X2,X3,X2,X3,X0,X1) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD71) ).
fof(f7336,plain,
( ~ spl26_107
| spl26_113
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f7308,f4092,f4096,f3613]) ).
fof(f3613,plain,
( spl26_107
<=> cong(sK1,sK1,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_107])]) ).
fof(f4092,plain,
( spl26_112
<=> para(sK1,sK0,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_112])]) ).
fof(f7308,plain,
( para(sK1,sK1,sK1,sK0)
| ~ cong(sK1,sK1,sK1,sK0)
| ~ spl26_112 ),
inference(resolution,[],[f3228,f4093]) ).
fof(f4093,plain,
( para(sK1,sK0,sK0,sK1)
| ~ spl26_112 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f7335,plain,
( ~ spl26_238
| spl26_240 ),
inference(avatar_contradiction_clause,[],[f7324]) ).
fof(f7324,plain,
( $false
| ~ spl26_238
| spl26_240 ),
inference(resolution,[],[f7321,f6240]) ).
fof(f6240,plain,
( coll(sK3,sK0,sK1)
| ~ spl26_238 ),
inference(avatar_component_clause,[],[f6239]) ).
fof(f6239,plain,
( spl26_238
<=> coll(sK3,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_238])]) ).
fof(f7321,plain,
( ! [X0] : ~ coll(sK3,X0,sK1)
| spl26_240 ),
inference(duplicate_literal_removal,[],[f7316]) ).
fof(f7316,plain,
( ! [X0] :
( ~ coll(sK3,X0,sK1)
| ~ coll(sK3,X0,sK1) )
| spl26_240 ),
inference(resolution,[],[f7270,f389]) ).
fof(f7270,plain,
( ~ coll(sK1,sK1,sK3)
| spl26_240 ),
inference(resolution,[],[f6336,f370]) ).
fof(f6336,plain,
( ~ coll(sK1,sK3,sK1)
| spl26_240 ),
inference(avatar_component_clause,[],[f6334]) ).
fof(f7235,plain,
( ~ spl26_62
| spl26_166 ),
inference(avatar_contradiction_clause,[],[f7234]) ).
fof(f7234,plain,
( $false
| ~ spl26_62
| spl26_166 ),
inference(subsumption_resolution,[],[f7230,f2191]) ).
fof(f2191,plain,
( cong(sK1,sK0,sK3,sK1)
| ~ spl26_62 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2190,plain,
( spl26_62
<=> cong(sK1,sK0,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_62])]) ).
fof(f7230,plain,
( ~ cong(sK1,sK0,sK3,sK1)
| spl26_166 ),
inference(resolution,[],[f5254,f629]) ).
fof(f629,plain,
! [X0,X1] :
( cong(X0,X1,sK3,sK0)
| ~ cong(X0,X1,sK3,sK1) ),
inference(resolution,[],[f611,f361]) ).
fof(f611,plain,
! [X10,X8,X6,X9,X7] :
( ~ midp(X8,X10,X9)
| ~ cong(X6,X7,X8,X10)
| cong(X6,X7,X8,X9) ),
inference(resolution,[],[f449,f369]) ).
fof(f5254,plain,
( ~ cong(sK1,sK0,sK3,sK0)
| spl26_166 ),
inference(avatar_component_clause,[],[f5252]) ).
fof(f5252,plain,
( spl26_166
<=> cong(sK1,sK0,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_166])]) ).
fof(f7224,plain,
( ~ spl26_203
| spl26_283 ),
inference(avatar_contradiction_clause,[],[f7223]) ).
fof(f7223,plain,
( $false
| ~ spl26_203
| spl26_283 ),
inference(subsumption_resolution,[],[f7214,f5738]) ).
fof(f5738,plain,
( coll(sK1,sK3,sK0)
| ~ spl26_203 ),
inference(avatar_component_clause,[],[f5737]) ).
fof(f5737,plain,
( spl26_203
<=> coll(sK1,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_203])]) ).
fof(f7214,plain,
( ~ coll(sK1,sK3,sK0)
| spl26_283 ),
inference(resolution,[],[f7197,f370]) ).
fof(f7197,plain,
( ~ coll(sK1,sK0,sK3)
| spl26_283 ),
inference(avatar_component_clause,[],[f7195]) ).
fof(f6796,plain,
( spl26_179
| ~ spl26_231
| ~ spl26_240 ),
inference(avatar_contradiction_clause,[],[f6795]) ).
fof(f6795,plain,
( $false
| spl26_179
| ~ spl26_231
| ~ spl26_240 ),
inference(subsumption_resolution,[],[f6787,f6335]) ).
fof(f6787,plain,
( ~ coll(sK1,sK3,sK1)
| spl26_179
| ~ spl26_231 ),
inference(resolution,[],[f6784,f371]) ).
fof(f6784,plain,
( ~ coll(sK3,sK1,sK1)
| spl26_179
| ~ spl26_231 ),
inference(subsumption_resolution,[],[f6782,f6178]) ).
fof(f6178,plain,
( cong(sK3,sK1,sK3,sK1)
| ~ spl26_231 ),
inference(avatar_component_clause,[],[f6177]) ).
fof(f6177,plain,
( spl26_231
<=> cong(sK3,sK1,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_231])]) ).
fof(f6782,plain,
( ~ coll(sK3,sK1,sK1)
| ~ cong(sK3,sK1,sK3,sK1)
| spl26_179 ),
inference(resolution,[],[f5356,f374]) ).
fof(f5356,plain,
( ~ midp(sK3,sK1,sK1)
| spl26_179 ),
inference(avatar_component_clause,[],[f5355]) ).
fof(f5355,plain,
( spl26_179
<=> midp(sK3,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_179])]) ).
fof(f6734,plain,
( ~ spl26_67
| spl26_231 ),
inference(avatar_contradiction_clause,[],[f6733]) ).
fof(f6733,plain,
( $false
| ~ spl26_67
| spl26_231 ),
inference(subsumption_resolution,[],[f6727,f2213]) ).
fof(f2213,plain,
( cong(sK3,sK1,sK3,sK0)
| ~ spl26_67 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2212,plain,
( spl26_67
<=> cong(sK3,sK1,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_67])]) ).
fof(f6727,plain,
( ~ cong(sK3,sK1,sK3,sK0)
| spl26_231 ),
inference(resolution,[],[f6179,f633]) ).
fof(f633,plain,
! [X0,X1] :
( cong(X0,X1,sK3,sK1)
| ~ cong(X0,X1,sK3,sK0) ),
inference(resolution,[],[f631,f361]) ).
fof(f631,plain,
! [X10,X11,X8,X9,X7] :
( ~ midp(X9,X11,X10)
| cong(X7,X8,X9,X11)
| ~ cong(X7,X8,X9,X10) ),
inference(resolution,[],[f611,f367]) ).
fof(f6179,plain,
( ~ cong(sK3,sK1,sK3,sK1)
| spl26_231 ),
inference(avatar_component_clause,[],[f6177]) ).
fof(f6415,plain,
( spl26_245
| ~ spl26_240
| ~ spl26_40
| ~ spl26_168
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f6372,f5355,f5261,f1468,f6334,f6412]) ).
fof(f6372,plain,
( ~ coll(sK1,sK3,sK1)
| cong(sK1,sK3,sK3,sK1)
| ~ spl26_40
| ~ spl26_168
| ~ spl26_179 ),
inference(resolution,[],[f5338,f5726]) ).
fof(f5726,plain,
( cong(sK1,sK3,sK1,sK1)
| ~ spl26_168
| ~ spl26_179 ),
inference(resolution,[],[f5262,f5357]) ).
fof(f5357,plain,
( midp(sK3,sK1,sK1)
| ~ spl26_179 ),
inference(avatar_component_clause,[],[f5355]) ).
fof(f6269,plain,
( ~ spl26_177
| spl26_238 ),
inference(avatar_contradiction_clause,[],[f6268]) ).
fof(f6268,plain,
( $false
| ~ spl26_177
| spl26_238 ),
inference(subsumption_resolution,[],[f6257,f5333]) ).
fof(f5333,plain,
( coll(sK3,sK1,sK0)
| ~ spl26_177 ),
inference(avatar_component_clause,[],[f5332]) ).
fof(f5332,plain,
( spl26_177
<=> coll(sK3,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_177])]) ).
fof(f6257,plain,
( ~ coll(sK3,sK1,sK0)
| spl26_238 ),
inference(resolution,[],[f6241,f370]) ).
fof(f6241,plain,
( ~ coll(sK3,sK0,sK1)
| spl26_238 ),
inference(avatar_component_clause,[],[f6239]) ).
fof(f5759,plain,
( ~ spl26_177
| spl26_203 ),
inference(avatar_contradiction_clause,[],[f5758]) ).
fof(f5758,plain,
( $false
| ~ spl26_177
| spl26_203 ),
inference(subsumption_resolution,[],[f5750,f5333]) ).
fof(f5750,plain,
( ~ coll(sK3,sK1,sK0)
| spl26_203 ),
inference(resolution,[],[f5739,f371]) ).
fof(f5739,plain,
( ~ coll(sK1,sK3,sK0)
| spl26_203 ),
inference(avatar_component_clause,[],[f5737]) ).
fof(f5649,plain,
( spl26_167
| ~ spl26_98
| ~ spl26_179 ),
inference(avatar_split_clause,[],[f5628,f5355,f3208,f5256]) ).
fof(f5256,plain,
( spl26_167
<=> cong(sK1,sK1,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_167])]) ).
fof(f5628,plain,
( cong(sK1,sK1,sK3,sK1)
| ~ spl26_98
| ~ spl26_179 ),
inference(resolution,[],[f3209,f5357]) ).
fof(f5390,plain,
spl26_177,
inference(avatar_contradiction_clause,[],[f5389]) ).
fof(f5389,plain,
( $false
| spl26_177 ),
inference(subsumption_resolution,[],[f5379,f361]) ).
fof(f5379,plain,
( ~ midp(sK3,sK1,sK0)
| spl26_177 ),
inference(resolution,[],[f5334,f368]) ).
fof(f5334,plain,
( ~ coll(sK3,sK1,sK0)
| spl26_177 ),
inference(avatar_component_clause,[],[f5332]) ).
fof(f5282,plain,
( ~ spl26_167
| ~ spl26_166
| spl26_107 ),
inference(avatar_split_clause,[],[f4525,f3613,f5252,f5256]) ).
fof(f4525,plain,
( ~ cong(sK1,sK0,sK3,sK0)
| ~ cong(sK1,sK1,sK3,sK1)
| spl26_107 ),
inference(resolution,[],[f4516,f394]) ).
fof(f4516,plain,
( ~ perp(sK1,sK3,sK1,sK0)
| spl26_107 ),
inference(resolution,[],[f4035,f361]) ).
fof(f4035,plain,
( ! [X0] :
( ~ midp(X0,sK1,sK0)
| ~ perp(sK1,X0,sK1,sK0) )
| spl26_107 ),
inference(resolution,[],[f3614,f388]) ).
fof(f3614,plain,
( ~ cong(sK1,sK1,sK1,sK0)
| spl26_107 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f5264,plain,
( spl26_41
| spl26_40 ),
inference(avatar_split_clause,[],[f3106,f1468,f1471]) ).
fof(f1471,plain,
( spl26_41
<=> ! [X6,X8,X7] :
( ~ cong(X6,X7,X7,X8)
| ~ midp(X6,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f3106,plain,
! [X10,X11,X8,X6,X9,X7] :
( cong(X6,X7,X7,X8)
| ~ cong(X9,X10,X10,X11)
| ~ midp(X6,X7,X8)
| ~ midp(X9,X10,X11) ),
inference(resolution,[],[f1463,f445]) ).
fof(f1463,plain,
! [X18,X19,X16,X14,X17,X15,X12,X13] :
( ~ eqratio(X12,X13,X14,X15,X16,X17,X18,X19)
| cong(X16,X17,X18,X19)
| ~ cong(X12,X13,X14,X15) ),
inference(resolution,[],[f473,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleD28) ).
fof(f5263,plain,
( spl26_41
| spl26_168 ),
inference(avatar_split_clause,[],[f3173,f5261,f1471]) ).
fof(f3173,plain,
! [X10,X11,X8,X6,X9,X7] :
( cong(X6,X7,X6,X8)
| ~ cong(X9,X10,X10,X11)
| ~ midp(X9,X10,X11)
| ~ midp(X7,X6,X8) ),
inference(resolution,[],[f1465,f445]) ).
fof(f5237,plain,
( ~ spl26_83
| ~ spl26_97 ),
inference(avatar_contradiction_clause,[],[f5236]) ).
fof(f5236,plain,
( $false
| ~ spl26_83
| ~ spl26_97 ),
inference(subsumption_resolution,[],[f5228,f5221]) ).
fof(f5221,plain,
( para(sK0,sK0,sK0,sK0)
| ~ spl26_83 ),
inference(subsumption_resolution,[],[f5213,f450]) ).
fof(f5213,plain,
( perp(sK0,sK0,sK0,sK0)
| para(sK0,sK0,sK0,sK0)
| ~ spl26_83 ),
inference(resolution,[],[f2633,f1111]) ).
fof(f1111,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X1,X1,X1)
| para(X0,X1,X1,X1) ),
inference(resolution,[],[f398,f373]) ).
fof(f2633,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ spl26_83 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2632,plain,
( spl26_83
<=> cong(sK0,sK0,sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_83])]) ).
fof(f5228,plain,
( ~ para(sK0,sK0,sK0,sK0)
| ~ spl26_83
| ~ spl26_97 ),
inference(resolution,[],[f5203,f372]) ).
fof(f5203,plain,
( ~ coll(sK0,sK0,sK0)
| ~ spl26_83
| ~ spl26_97 ),
inference(resolution,[],[f2633,f4585]) ).
fof(f4585,plain,
( ! [X6,X5] :
( ~ cong(X5,X5,X5,X6)
| ~ coll(X5,X6,X5) )
| ~ spl26_97 ),
inference(resolution,[],[f4007,f385]) ).
fof(f4007,plain,
( ! [X0,X1] :
( ~ cong(X0,X1,X0,X0)
| ~ coll(X0,X1,X0) )
| ~ spl26_97 ),
inference(resolution,[],[f4006,f374]) ).
fof(f4006,plain,
( ! [X3,X4] : ~ midp(X3,X4,X3)
| ~ spl26_97 ),
inference(subsumption_resolution,[],[f4000,f367]) ).
fof(f4000,plain,
( ! [X3,X4] :
( ~ midp(X3,X3,X4)
| ~ midp(X3,X4,X3) )
| ~ spl26_97 ),
inference(resolution,[],[f3206,f369]) ).
fof(f3206,plain,
( ! [X10,X11,X9] :
( ~ cong(X9,X10,X11,X9)
| ~ midp(X11,X9,X10) )
| ~ spl26_97 ),
inference(avatar_component_clause,[],[f3205]) ).
fof(f3205,plain,
( spl26_97
<=> ! [X9,X11,X10] :
( ~ cong(X9,X10,X11,X9)
| ~ midp(X11,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_97])]) ).
fof(f5202,plain,
( spl26_83
| ~ spl26_84
| ~ spl26_92 ),
inference(avatar_contradiction_clause,[],[f5201]) ).
fof(f5201,plain,
( $false
| spl26_83
| ~ spl26_84
| ~ spl26_92 ),
inference(subsumption_resolution,[],[f5198,f2984]) ).
fof(f2984,plain,
( perp(sK0,sK0,sK0,sK3)
| ~ spl26_92 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f2983,plain,
( spl26_92
<=> perp(sK0,sK0,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_92])]) ).
fof(f5198,plain,
( ~ perp(sK0,sK0,sK0,sK3)
| spl26_83
| ~ spl26_84 ),
inference(resolution,[],[f5194,f387]) ).
fof(f5194,plain,
( ~ perp(sK0,sK3,sK0,sK0)
| spl26_83
| ~ spl26_84 ),
inference(resolution,[],[f2702,f2877]) ).
fof(f2877,plain,
( midp(sK3,sK0,sK0)
| ~ spl26_84 ),
inference(avatar_component_clause,[],[f2875]) ).
fof(f2875,plain,
( spl26_84
<=> midp(sK3,sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_84])]) ).
fof(f2702,plain,
( ! [X0] :
( ~ midp(X0,sK0,sK0)
| ~ perp(sK0,X0,sK0,sK0) )
| spl26_83 ),
inference(resolution,[],[f2634,f388]) ).
fof(f2634,plain,
( ~ cong(sK0,sK0,sK0,sK0)
| spl26_83 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f4609,plain,
( ~ spl26_58
| ~ spl26_99
| ~ spl26_111 ),
inference(avatar_contradiction_clause,[],[f4608]) ).
fof(f4608,plain,
( $false
| ~ spl26_58
| ~ spl26_99
| ~ spl26_111 ),
inference(subsumption_resolution,[],[f4607,f2108]) ).
fof(f2108,plain,
( cong(sK3,sK0,sK3,sK1)
| ~ spl26_58 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2106,plain,
( spl26_58
<=> cong(sK3,sK0,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_58])]) ).
fof(f4607,plain,
( ~ cong(sK3,sK0,sK3,sK1)
| ~ spl26_99
| ~ spl26_111 ),
inference(subsumption_resolution,[],[f4603,f3716]) ).
fof(f3716,plain,
( coll(sK3,sK0,sK0)
| ~ spl26_111 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f3715,plain,
( spl26_111
<=> coll(sK3,sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_111])]) ).
fof(f4603,plain,
( ~ coll(sK3,sK0,sK0)
| ~ cong(sK3,sK0,sK3,sK1)
| ~ spl26_99 ),
inference(resolution,[],[f4216,f629]) ).
fof(f4216,plain,
( ! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| ~ coll(X0,X1,X1) )
| ~ spl26_99 ),
inference(duplicate_literal_removal,[],[f4213]) ).
fof(f4213,plain,
( ! [X0,X1] :
( ~ coll(X0,X1,X1)
| ~ cong(X0,X1,X0,X1)
| ~ cong(X0,X1,X0,X1) )
| ~ spl26_99 ),
inference(resolution,[],[f3327,f392]) ).
fof(f3327,plain,
( ! [X10,X11] :
( ~ circle(X10,X11,X11,X11)
| ~ coll(X10,X11,X11) )
| ~ spl26_99 ),
inference(resolution,[],[f3318,f390]) ).
fof(f3318,plain,
( ! [X28,X27] : ~ perp(X27,X28,X27,X28)
| ~ spl26_99 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f3317,plain,
( spl26_99
<=> ! [X27,X28] : ~ perp(X27,X28,X27,X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_99])]) ).
fof(f4126,plain,
spl26_112,
inference(avatar_contradiction_clause,[],[f4123]) ).
fof(f4123,plain,
( $false
| spl26_112 ),
inference(resolution,[],[f4120,f361]) ).
fof(f4120,plain,
( ! [X0] : ~ midp(X0,sK1,sK0)
| spl26_112 ),
inference(subsumption_resolution,[],[f4115,f367]) ).
fof(f4115,plain,
( ! [X0] :
( ~ midp(X0,sK0,sK1)
| ~ midp(X0,sK1,sK0) )
| spl26_112 ),
inference(resolution,[],[f4094,f414]) ).
fof(f4094,plain,
( ~ para(sK1,sK0,sK0,sK1)
| spl26_112 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f3992,plain,
( spl26_62
| ~ spl26_98 ),
inference(avatar_contradiction_clause,[],[f3991]) ).
fof(f3991,plain,
( $false
| spl26_62
| ~ spl26_98 ),
inference(subsumption_resolution,[],[f3985,f2192]) ).
fof(f2192,plain,
( ~ cong(sK1,sK0,sK3,sK1)
| spl26_62 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f3985,plain,
( cong(sK1,sK0,sK3,sK1)
| ~ spl26_98 ),
inference(resolution,[],[f3209,f361]) ).
fof(f3775,plain,
spl26_111,
inference(avatar_contradiction_clause,[],[f3772]) ).
fof(f3772,plain,
( $false
| spl26_111 ),
inference(resolution,[],[f3762,f361]) ).
fof(f3762,plain,
( ! [X0] : ~ midp(sK3,X0,sK0)
| spl26_111 ),
inference(resolution,[],[f3761,f368]) ).
fof(f3761,plain,
( ! [X0] : ~ coll(sK3,X0,sK0)
| spl26_111 ),
inference(duplicate_literal_removal,[],[f3756]) ).
fof(f3756,plain,
( ! [X0] :
( ~ coll(sK3,X0,sK0)
| ~ coll(sK3,X0,sK0) )
| spl26_111 ),
inference(resolution,[],[f3738,f389]) ).
fof(f3738,plain,
( ~ coll(sK0,sK0,sK3)
| spl26_111 ),
inference(resolution,[],[f3729,f370]) ).
fof(f3729,plain,
( ~ coll(sK0,sK3,sK0)
| spl26_111 ),
inference(resolution,[],[f3717,f371]) ).
fof(f3717,plain,
( ~ coll(sK3,sK0,sK0)
| spl26_111 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f3726,plain,
( ~ spl26_58
| spl26_110 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
fof(f3725,plain,
( $false
| ~ spl26_58
| spl26_110 ),
inference(subsumption_resolution,[],[f3719,f2108]) ).
fof(f3719,plain,
( ~ cong(sK3,sK0,sK3,sK1)
| spl26_110 ),
inference(resolution,[],[f3713,f629]) ).
fof(f3713,plain,
( ~ cong(sK3,sK0,sK3,sK0)
| spl26_110 ),
inference(avatar_component_clause,[],[f3711]) ).
fof(f3718,plain,
( ~ spl26_110
| ~ spl26_111
| spl26_84 ),
inference(avatar_split_clause,[],[f3708,f2875,f3715,f3711]) ).
fof(f3708,plain,
( ~ coll(sK3,sK0,sK0)
| ~ cong(sK3,sK0,sK3,sK0)
| spl26_84 ),
inference(resolution,[],[f2876,f374]) ).
fof(f2876,plain,
( ~ midp(sK3,sK0,sK0)
| spl26_84 ),
inference(avatar_component_clause,[],[f2875]) ).
fof(f3649,plain,
( ~ spl26_78
| spl26_102 ),
inference(avatar_contradiction_clause,[],[f3638]) ).
fof(f3638,plain,
( $false
| ~ spl26_78
| spl26_102 ),
inference(resolution,[],[f3607,f2562]) ).
fof(f3607,plain,
( ! [X0] : ~ coll(sK0,X0,sK1)
| spl26_102 ),
inference(duplicate_literal_removal,[],[f3602]) ).
fof(f3602,plain,
( ! [X0] :
( ~ coll(sK0,X0,sK1)
| ~ coll(sK0,X0,sK1) )
| spl26_102 ),
inference(resolution,[],[f3580,f389]) ).
fof(f3580,plain,
( ~ coll(sK1,sK1,sK0)
| spl26_102 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f3578,plain,
( spl26_102
<=> coll(sK1,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_102])]) ).
fof(f3581,plain,
( spl26_101
| ~ spl26_102
| ~ spl26_71 ),
inference(avatar_split_clause,[],[f3573,f2404,f3578,f3575]) ).
fof(f2404,plain,
( spl26_71
<=> coll(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_71])]) ).
fof(f3573,plain,
( ! [X8] :
( ~ coll(sK1,sK1,sK0)
| midp(sK24(sK1,sK0,sK1,sK0,sK3,sK3,X8),sK1,X8) )
| ~ spl26_71 ),
inference(subsumption_resolution,[],[f3566,f2405]) ).
fof(f2405,plain,
( coll(sK0,sK1,sK0)
| ~ spl26_71 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f3566,plain,
! [X8] :
( ~ coll(sK1,sK1,sK0)
| ~ coll(sK0,sK1,sK0)
| midp(sK24(sK1,sK0,sK1,sK0,sK3,sK3,X8),sK1,X8) ),
inference(resolution,[],[f1800,f361]) ).
fof(f1800,plain,
! [X2,X3,X0,X1] :
( ~ midp(X2,X1,X0)
| ~ coll(X1,sK1,sK0)
| ~ coll(X0,sK1,sK0)
| midp(sK24(sK1,sK0,X1,X0,sK3,X2,X3),sK1,X3) ),
inference(resolution,[],[f462,f361]) ).
fof(f462,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ midp(X4,X0,X1)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| midp(sK24(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( midp(sK24(X0,X1,X2,X3,X4,X5,X6),X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f296,f355]) ).
fof(f355,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) )
=> ( midp(sK24(X0,X1,X2,X3,X4,X5,X6),X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X6,X16,X9] :
? [X8] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> midp(X8,X0,X9) ),
file('/export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087',ruleX7) ).
fof(f3322,plain,
( spl26_99
| spl26_100 ),
inference(avatar_split_clause,[],[f3309,f3320,f3317]) ).
fof(f3309,plain,
! [X28,X26,X27,X24,X25,X23] :
( perp(X23,X24,X25,X26)
| ~ perp(X27,X28,X27,X28)
| ~ para(X23,X24,X25,X26) ),
inference(resolution,[],[f1513,f434]) ).
fof(f3210,plain,
( spl26_97
| spl26_98 ),
inference(avatar_split_clause,[],[f3197,f3208,f3205]) ).
fof(f3197,plain,
! [X10,X11,X8,X6,X9,X7] :
( cong(X6,X7,X8,X6)
| ~ cong(X9,X10,X11,X9)
| ~ midp(X11,X9,X10)
| ~ midp(X8,X6,X7) ),
inference(resolution,[],[f1466,f445]) ).
fof(f3055,plain,
( ~ spl26_79
| spl26_92 ),
inference(avatar_contradiction_clause,[],[f3054]) ).
fof(f3054,plain,
( $false
| ~ spl26_79
| spl26_92 ),
inference(subsumption_resolution,[],[f3052,f2604]) ).
fof(f2604,plain,
( perp(sK0,sK0,sK3,sK0)
| ~ spl26_79 ),
inference(avatar_component_clause,[],[f2603]) ).
fof(f3052,plain,
( ~ perp(sK0,sK0,sK3,sK0)
| spl26_92 ),
inference(resolution,[],[f2985,f386]) ).
fof(f2985,plain,
( ~ perp(sK0,sK0,sK0,sK3)
| spl26_92 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f2966,plain,
( ~ spl26_62
| ~ spl26_41 ),
inference(avatar_split_clause,[],[f2962,f1471,f2190]) ).
fof(f2962,plain,
( ~ cong(sK1,sK0,sK3,sK1)
| ~ spl26_41 ),
inference(resolution,[],[f2958,f385]) ).
fof(f2958,plain,
( ~ cong(sK3,sK1,sK1,sK0)
| ~ spl26_41 ),
inference(resolution,[],[f1472,f361]) ).
fof(f1472,plain,
( ! [X8,X6,X7] :
( ~ midp(X6,X7,X8)
| ~ cong(X6,X7,X7,X8) )
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f2584,plain,
( ~ spl26_71
| spl26_78 ),
inference(avatar_contradiction_clause,[],[f2583]) ).
fof(f2583,plain,
( $false
| ~ spl26_71
| spl26_78 ),
inference(subsumption_resolution,[],[f2573,f2405]) ).
fof(f2573,plain,
( ~ coll(sK0,sK1,sK0)
| spl26_78 ),
inference(resolution,[],[f2563,f370]) ).
fof(f2563,plain,
( ~ coll(sK0,sK0,sK1)
| spl26_78 ),
inference(avatar_component_clause,[],[f2561]) ).
fof(f2559,plain,
( ~ spl26_44
| spl26_71 ),
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2543,plain,
( $false
| ~ spl26_44
| spl26_71 ),
inference(resolution,[],[f2505,f1981]) ).
fof(f1981,plain,
( coll(sK0,sK1,sK3)
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1980,plain,
( spl26_44
<=> coll(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f2505,plain,
( ! [X2] : ~ coll(sK0,sK1,X2)
| spl26_71 ),
inference(resolution,[],[f2485,f371]) ).
fof(f2485,plain,
( ! [X1] : ~ coll(sK1,sK0,X1)
| spl26_71 ),
inference(resolution,[],[f2447,f370]) ).
fof(f2447,plain,
( ! [X0] : ~ coll(sK1,X0,sK0)
| spl26_71 ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2442,plain,
( ! [X0] :
( ~ coll(sK1,X0,sK0)
| ~ coll(sK1,X0,sK0) )
| spl26_71 ),
inference(resolution,[],[f2416,f389]) ).
fof(f2416,plain,
( ~ coll(sK0,sK0,sK1)
| spl26_71 ),
inference(resolution,[],[f2406,f370]) ).
fof(f2406,plain,
( ~ coll(sK0,sK1,sK0)
| spl26_71 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f2395,plain,
( spl26_58
| ~ spl26_67 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2394,plain,
( $false
| spl26_58
| ~ spl26_67 ),
inference(subsumption_resolution,[],[f2390,f2213]) ).
fof(f2390,plain,
( ~ cong(sK3,sK1,sK3,sK0)
| spl26_58 ),
inference(resolution,[],[f2107,f385]) ).
fof(f2107,plain,
( ~ cong(sK3,sK0,sK3,sK1)
| spl26_58 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f2236,plain,
spl26_67,
inference(avatar_contradiction_clause,[],[f2235]) ).
fof(f2235,plain,
( $false
| spl26_67 ),
inference(subsumption_resolution,[],[f2232,f361]) ).
fof(f2232,plain,
( ~ midp(sK3,sK1,sK0)
| spl26_67 ),
inference(resolution,[],[f2214,f369]) ).
fof(f2214,plain,
( ~ cong(sK3,sK1,sK3,sK0)
| spl26_67 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2113,plain,
spl26_48,
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| spl26_48 ),
inference(subsumption_resolution,[],[f2111,f361]) ).
fof(f2111,plain,
( ~ midp(sK3,sK1,sK0)
| spl26_48 ),
inference(resolution,[],[f1997,f367]) ).
fof(f1997,plain,
( ~ midp(sK3,sK0,sK1)
| spl26_48 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2100,plain,
( ~ spl26_48
| spl26_44 ),
inference(avatar_split_clause,[],[f2090,f1980,f1996]) ).
fof(f2090,plain,
( ~ midp(sK3,sK0,sK1)
| spl26_44 ),
inference(resolution,[],[f2036,f368]) ).
fof(f2036,plain,
( ~ coll(sK3,sK0,sK1)
| spl26_44 ),
inference(resolution,[],[f2011,f371]) ).
fof(f2011,plain,
( ~ coll(sK0,sK3,sK1)
| spl26_44 ),
inference(resolution,[],[f1982,f370]) ).
fof(f1982,plain,
( ~ coll(sK0,sK1,sK3)
| spl26_44 ),
inference(avatar_component_clause,[],[f1980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 19:10:38 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.oSF7Vvz28G/Vampire---4.8_4087
% 0.16/0.36 % (4194)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42 % (4196)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.16/0.42 % (4197)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.16/0.42 % (4195)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.16/0.42 % (4200)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.16/0.43 % (4199)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.16/0.43 % (4201)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.16/0.43 % (4198)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 57.99/8.67 % (4198)First to succeed.
% 58.10/8.68 % (4198)Refutation found. Thanks to Tanya!
% 58.10/8.68 % SZS status Theorem for Vampire---4
% 58.10/8.68 % SZS output start Proof for Vampire---4
% See solution above
% 58.10/8.69 % (4198)------------------------------
% 58.10/8.69 % (4198)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 58.10/8.69 % (4198)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 58.10/8.69 % (4198)Termination reason: Refutation
% 58.10/8.69
% 58.10/8.69 % (4198)Memory used [KB]: 50660
% 58.10/8.69 % (4198)Time elapsed: 8.246 s
% 58.10/8.69 % (4198)------------------------------
% 58.10/8.69 % (4198)------------------------------
% 58.10/8.69 % (4194)Success in time 8.298 s
% 58.10/8.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------