TSTP Solution File: GEO634+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO634+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:36:50 EDT 2023
% Result : Theorem 238.46s 34.67s
% Output : Refutation 238.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 102
% Syntax : Number of formulae : 817 ( 68 unt; 0 def)
% Number of atoms : 2242 ( 0 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 2545 (1120 ~;1119 |; 171 &)
% ( 45 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 55 ( 54 usr; 46 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-7 aty)
% Number of variables : 1672 (;1617 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f567304,plain,
$false,
inference(avatar_sat_refutation,[],[f1782,f2002,f2309,f2329,f5688,f11354,f11749,f19853,f21765,f38635,f40326,f42312,f42659,f42678,f49080,f50723,f50739,f50787,f53960,f82795,f86177,f86306,f101864,f101957,f132169,f135151,f156799,f158430,f158441,f158457,f159613,f165202,f172852,f173003,f173017,f174769,f176649,f184979,f190627,f285759,f357086,f383391,f383601,f442309,f567235,f567302]) ).
fof(f567302,plain,
( ~ spl32_13
| ~ spl32_150
| ~ spl32_194
| spl32_238
| ~ spl32_516 ),
inference(avatar_contradiction_clause,[],[f567301]) ).
fof(f567301,plain,
( $false
| ~ spl32_13
| ~ spl32_150
| ~ spl32_194
| spl32_238
| ~ spl32_516 ),
inference(subsumption_resolution,[],[f567300,f452709]) ).
fof(f452709,plain,
( ~ midp(sK0,sK5,sK10)
| ~ spl32_13
| ~ spl32_194
| spl32_238 ),
inference(forward_literal_rewriting,[],[f452708,f187720]) ).
fof(f187720,plain,
( ! [X21,X22] :
( para(sK0,X21,sK5,X22)
| ~ midp(X21,sK5,X22) )
| ~ spl32_194 ),
inference(resolution,[],[f37844,f421]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD44) ).
fof(f37844,plain,
( midp(sK0,sK5,sK5)
| ~ spl32_194 ),
inference(avatar_component_clause,[],[f37843]) ).
fof(f37843,plain,
( spl32_194
<=> midp(sK0,sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).
fof(f452708,plain,
( ~ para(sK0,sK0,sK5,sK10)
| ~ spl32_13
| spl32_238 ),
inference(forward_literal_rewriting,[],[f452700,f262546]) ).
fof(f262546,plain,
( ! [X0,X1] :
( perp(sK0,sK5,X0,X1)
| ~ para(X0,X1,sK5,sK10) )
| ~ spl32_13 ),
inference(resolution,[],[f160587,f440]) ).
fof(f440,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.EEb2XjM03D/Vampire---4.8_28259',ruleD40) ).
fof(f160587,plain,
( ! [X28,X26,X27,X25] :
( ~ eqangle(X27,X28,X25,X26,sK5,sK10,sK0,sK5)
| perp(X25,X26,X27,X28) )
| ~ spl32_13 ),
inference(resolution,[],[f159201,f475]) ).
fof(f475,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.EEb2XjM03D/Vampire---4.8_28259',ruleD19) ).
fof(f159201,plain,
( ! [X31,X29,X32,X30] :
( ~ eqangle(X29,X30,X31,X32,sK0,sK5,sK5,sK10)
| perp(X29,X30,X31,X32) )
| ~ spl32_13 ),
inference(resolution,[],[f1778,f481]) ).
fof(f481,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
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.EEb2XjM03D/Vampire---4.8_28259',ruleD74) ).
fof(f1778,plain,
( perp(sK0,sK5,sK5,sK10)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f1777,plain,
( spl32_13
<=> perp(sK0,sK5,sK5,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f452700,plain,
( ~ perp(sK0,sK5,sK0,sK0)
| spl32_238 ),
inference(resolution,[],[f50722,f393]) ).
fof(f393,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.EEb2XjM03D/Vampire---4.8_28259',ruleD8) ).
fof(f50722,plain,
( ~ perp(sK0,sK0,sK0,sK5)
| spl32_238 ),
inference(avatar_component_clause,[],[f50721]) ).
fof(f50721,plain,
( spl32_238
<=> perp(sK0,sK0,sK0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f567300,plain,
( midp(sK0,sK5,sK10)
| ~ spl32_150
| ~ spl32_516 ),
inference(forward_literal_rewriting,[],[f159612,f162232]) ).
fof(f162232,plain,
( ! [X8,X6,X7] :
( midp(X6,X7,X8)
| ~ cong(X6,X7,X6,X8) )
| ~ spl32_150 ),
inference(resolution,[],[f158414,f380]) ).
fof(f380,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.EEb2XjM03D/Vampire---4.8_28259',ruleD67) ).
fof(f158414,plain,
( ! [X18,X16,X17] : coll(X16,X17,X18)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f158290,f156463]) ).
fof(f156463,plain,
( ! [X26,X27] : coll(X26,sK1,X27)
| ~ spl32_150 ),
inference(resolution,[],[f155746,f376]) ).
fof(f376,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.EEb2XjM03D/Vampire---4.8_28259',ruleD1) ).
fof(f155746,plain,
( ! [X6,X5] : coll(X5,X6,sK1)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f155684,f155507]) ).
fof(f155507,plain,
( ! [X14] : coll(sK1,sK1,X14)
| ~ spl32_150 ),
inference(resolution,[],[f150243,f376]) ).
fof(f150243,plain,
( ! [X15] : coll(sK1,X15,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f149981,f377]) ).
fof(f377,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.EEb2XjM03D/Vampire---4.8_28259',ruleD2) ).
fof(f149981,plain,
( ! [X2] : coll(X2,sK1,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f148262,f378]) ).
fof(f378,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.EEb2XjM03D/Vampire---4.8_28259',ruleD66) ).
fof(f148262,plain,
( ! [X14] : para(X14,sK1,X14,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f141924,f388]) ).
fof(f388,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.EEb2XjM03D/Vampire---4.8_28259',ruleD4) ).
fof(f141924,plain,
( ! [X23] : para(X23,sK1,sK1,X23)
| ~ spl32_150 ),
inference(resolution,[],[f21840,f21834]) ).
fof(f21834,plain,
( ! [X21] : midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X21),X21,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f19849,f373]) ).
fof(f373,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.EEb2XjM03D/Vampire---4.8_28259',ruleD11) ).
fof(f19849,plain,
( ! [X47] : midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X47),sK1,X47)
| ~ spl32_150 ),
inference(avatar_component_clause,[],[f19848]) ).
fof(f19848,plain,
( spl32_150
<=> ! [X47] : midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X47),sK1,X47) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).
fof(f21840,plain,
( ! [X31,X32,X33] :
( ~ midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X33),X31,X32)
| para(X31,sK1,X32,X33) )
| ~ spl32_150 ),
inference(resolution,[],[f19849,f420]) ).
fof(f420,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.EEb2XjM03D/Vampire---4.8_28259',ruleD63) ).
fof(f155684,plain,
( ! [X6,X5] :
( coll(X5,X6,sK1)
| ~ coll(sK1,sK1,X6) )
| ~ spl32_150 ),
inference(resolution,[],[f155507,f395]) ).
fof(f395,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.EEb2XjM03D/Vampire---4.8_28259',ruleD3) ).
fof(f158290,plain,
( ! [X18,X16,X17] :
( coll(X16,X17,X18)
| ~ coll(X18,sK1,X17) )
| ~ spl32_150 ),
inference(resolution,[],[f156463,f395]) ).
fof(f159612,plain,
( cong(sK0,sK5,sK0,sK10)
| ~ spl32_516 ),
inference(avatar_component_clause,[],[f159611]) ).
fof(f159611,plain,
( spl32_516
<=> cong(sK0,sK5,sK0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_516])]) ).
fof(f567235,plain,
( ~ spl32_13
| ~ spl32_18
| spl32_24
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240 ),
inference(avatar_contradiction_clause,[],[f567234]) ).
fof(f567234,plain,
( $false
| ~ spl32_13
| ~ spl32_18
| spl32_24
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f567233,f383479]) ).
fof(f383479,plain,
( ! [X57] : para(sK0,sK0,X57,X57)
| ~ spl32_150
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f383478,f188662]) ).
fof(f188662,plain,
( ! [X14,X13] :
( para(sK0,sK0,X13,X14)
| ~ para(sK0,sK1,X13,X14) )
| ~ spl32_240 ),
inference(resolution,[],[f50738,f453]) ).
fof(f453,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD6) ).
fof(f50738,plain,
( para(sK0,sK0,sK0,sK1)
| ~ spl32_240 ),
inference(avatar_component_clause,[],[f50737]) ).
fof(f50737,plain,
( spl32_240
<=> para(sK0,sK0,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).
fof(f383478,plain,
( ! [X57] : para(sK0,sK1,X57,X57)
| ~ spl32_150
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f383477,f2176]) ).
fof(f2176,plain,
! [X2,X3] :
( ~ perp(X2,X3,sK6,sK9)
| para(sK0,sK1,X2,X3) ),
inference(resolution,[],[f917,f393]) ).
fof(f917,plain,
! [X2,X3] :
( ~ perp(sK6,sK9,X2,X3)
| para(sK0,sK1,X2,X3) ),
inference(resolution,[],[f490,f456]) ).
fof(f456,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.EEb2XjM03D/Vampire---4.8_28259',ruleD9) ).
fof(f490,plain,
perp(sK0,sK1,sK6,sK9),
inference(forward_literal_rewriting,[],[f489,f392]) ).
fof(f392,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.EEb2XjM03D/Vampire---4.8_28259',ruleD7) ).
fof(f489,plain,
perp(sK0,sK1,sK9,sK6),
inference(forward_literal_rewriting,[],[f370,f393]) ).
fof(f370,plain,
perp(sK9,sK6,sK0,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ perp(sK8,sK9,sK5,sK0)
& coll(sK9,sK0,sK1)
& perp(sK9,sK6,sK0,sK1)
& coll(sK8,sK1,sK2)
& perp(sK8,sK6,sK1,sK2)
& coll(sK7,sK0,sK6)
& coll(sK7,sK1,sK2)
& circle(sK3,sK0,sK6,sK11)
& eqangle(sK6,sK0,sK0,sK1,sK2,sK0,sK0,sK4)
& coll(sK5,sK0,sK4)
& circle(sK3,sK0,sK5,sK10)
& midp(sK4,sK2,sK1)
& circle(sK3,sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f321]) ).
fof(f321,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK8,sK9,sK5,sK0)
& coll(sK9,sK0,sK1)
& perp(sK9,sK6,sK0,sK1)
& coll(sK8,sK1,sK2)
& perp(sK8,sK6,sK1,sK2)
& coll(sK7,sK0,sK6)
& coll(sK7,sK1,sK2)
& circle(sK3,sK0,sK6,sK11)
& eqangle(sK6,sK0,sK0,sK1,sK2,sK0,sK0,sK4)
& coll(sK5,sK0,sK4)
& circle(sK3,sK0,sK5,sK10)
& midp(sK4,sK2,sK1)
& circle(sK3,sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X8,X9,X5,X0) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',exemplo6GDDFULL8110997) ).
fof(f383477,plain,
( ! [X57] : perp(X57,X57,sK6,sK9)
| ~ spl32_150
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f383476,f148524]) ).
fof(f148524,plain,
( ! [X1] : para(X1,X1,sK2,sK2)
| ~ spl32_150 ),
inference(resolution,[],[f142860,f2710]) ).
fof(f2710,plain,
! [X10,X9] :
( ~ para(X9,X10,sK1,sK1)
| para(X9,X10,sK2,sK2) ),
inference(resolution,[],[f1662,f453]) ).
fof(f1662,plain,
para(sK1,sK1,sK2,sK2),
inference(resolution,[],[f724,f503]) ).
fof(f503,plain,
midp(sK4,sK1,sK2),
inference(forward_literal_rewriting,[],[f361,f373]) ).
fof(f361,plain,
midp(sK4,sK2,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f724,plain,
! [X2,X3] :
( ~ midp(sK4,X2,X3)
| para(sK1,X2,sK2,X3) ),
inference(resolution,[],[f503,f420]) ).
fof(f142860,plain,
( ! [X35] : para(X35,X35,sK1,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f141908,f389]) ).
fof(f389,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.EEb2XjM03D/Vampire---4.8_28259',ruleD5) ).
fof(f141908,plain,
( ! [X0] : para(sK1,sK1,X0,X0)
| ~ spl32_150 ),
inference(resolution,[],[f21839,f19849]) ).
fof(f21839,plain,
( ! [X28,X29,X30] :
( ~ midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X29),X28,X30)
| para(sK1,X28,X29,X30) )
| ~ spl32_150 ),
inference(resolution,[],[f19849,f420]) ).
fof(f383476,plain,
( ! [X57] :
( ~ para(sK0,sK0,sK2,sK2)
| perp(X57,X57,sK6,sK9) )
| ~ spl32_150
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f383475,f188649]) ).
fof(f188649,plain,
( ! [X2,X3] :
( para(sK0,sK1,X2,X3)
| ~ para(sK0,sK0,X2,X3) )
| ~ spl32_240 ),
inference(resolution,[],[f50738,f14337]) ).
fof(f14337,plain,
! [X6,X7,X4,X5] :
( ~ para(X4,X5,sK0,sK1)
| para(sK0,sK1,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(forward_literal_rewriting,[],[f14315,f2176]) ).
fof(f14315,plain,
! [X6,X7,X4,X5] :
( ~ para(X4,X5,sK0,sK1)
| perp(X6,X7,sK6,sK9)
| ~ para(X4,X5,X6,X7) ),
inference(resolution,[],[f2161,f389]) ).
fof(f2161,plain,
! [X21,X18,X19,X20] :
( ~ para(X18,X19,X20,X21)
| ~ para(X20,X21,sK0,sK1)
| perp(X18,X19,sK6,sK9) ),
inference(resolution,[],[f916,f453]) ).
fof(f916,plain,
! [X0,X1] :
( ~ para(X0,X1,sK0,sK1)
| perp(X0,X1,sK6,sK9) ),
inference(resolution,[],[f490,f454]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD10) ).
fof(f383475,plain,
( ! [X57] :
( ~ para(sK0,sK1,sK2,sK2)
| perp(X57,X57,sK6,sK9) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f170774,f39677]) ).
fof(f39677,plain,
! [X2,X3] :
( para(sK1,sK1,X2,X3)
| ~ para(X2,X3,sK2,sK2) ),
inference(resolution,[],[f2709,f389]) ).
fof(f2709,plain,
! [X8,X7] :
( ~ para(sK2,sK2,X7,X8)
| para(sK1,sK1,X7,X8) ),
inference(resolution,[],[f1662,f453]) ).
fof(f170774,plain,
( ! [X57] :
( ~ para(sK1,sK1,sK0,sK1)
| perp(X57,X57,sK6,sK9) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f170709,f130005]) ).
fof(f130005,plain,
! [X2,X3] :
( para(sK2,sK2,X2,X3)
| ~ para(sK1,sK1,X2,X3) ),
inference(forward_literal_rewriting,[],[f129993,f129931]) ).
fof(f129931,plain,
! [X2,X3] :
( para(sK2,sK2,X2,X3)
| ~ para(X2,X3,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)) ),
inference(resolution,[],[f8719,f389]) ).
fof(f8719,plain,
! [X8,X7] :
( ~ para(sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4),X7,X8)
| para(sK2,sK2,X7,X8) ),
inference(resolution,[],[f3316,f453]) ).
fof(f3316,plain,
para(sK2,sK2,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)),
inference(resolution,[],[f757,f503]) ).
fof(f757,plain,
! [X34,X32,X33] :
( ~ midp(X34,X32,X33)
| para(sK2,X33,sK4,sK26(sK1,sK2,X32,X33,sK4,X34)) ),
inference(forward_literal_rewriting,[],[f756,f388]) ).
fof(f756,plain,
! [X34,X32,X33] :
( para(sK2,X33,sK26(sK1,sK2,X32,X33,sK4,X34),sK4)
| ~ midp(X34,X32,X33) ),
inference(forward_literal_rewriting,[],[f737,f389]) ).
fof(f737,plain,
! [X34,X32,X33] :
( para(sK26(sK1,sK2,X32,X33,sK4,X34),sK4,sK2,X33)
| ~ midp(X34,X32,X33) ),
inference(resolution,[],[f503,f460]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK26(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(sK26(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK26(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK26(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[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(sK26(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK26(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK26(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.EEb2XjM03D/Vampire---4.8_28259',ruleX6) ).
fof(f129993,plain,
! [X2,X3] :
( para(X2,X3,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4))
| ~ para(sK1,sK1,X2,X3) ),
inference(resolution,[],[f8758,f389]) ).
fof(f8758,plain,
! [X10,X9] :
( ~ para(X9,X10,sK1,sK1)
| para(X9,X10,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)) ),
inference(resolution,[],[f3350,f453]) ).
fof(f3350,plain,
para(sK1,sK1,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)),
inference(resolution,[],[f761,f503]) ).
fof(f761,plain,
! [X40,X38,X39] :
( ~ midp(X40,X38,X39)
| para(sK1,X38,X40,sK26(sK1,sK2,X38,X39,sK4,X40)) ),
inference(forward_literal_rewriting,[],[f760,f388]) ).
fof(f760,plain,
! [X40,X38,X39] :
( para(sK1,X38,sK26(sK1,sK2,X38,X39,sK4,X40),X40)
| ~ midp(X40,X38,X39) ),
inference(forward_literal_rewriting,[],[f739,f389]) ).
fof(f739,plain,
! [X40,X38,X39] :
( para(sK26(sK1,sK2,X38,X39,sK4,X40),X40,sK1,X38)
| ~ midp(X40,X38,X39) ),
inference(resolution,[],[f503,f461]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK26(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f350]) ).
fof(f170709,plain,
( ! [X57] :
( ~ para(sK2,sK2,sK0,sK1)
| perp(X57,X57,sK6,sK9) )
| ~ spl32_150 ),
inference(resolution,[],[f148524,f2161]) ).
fof(f567233,plain,
( ~ para(sK0,sK0,sK6,sK6)
| ~ spl32_13
| ~ spl32_18
| spl32_24
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f567232,f188649]) ).
fof(f567232,plain,
( ~ para(sK0,sK1,sK6,sK6)
| ~ spl32_13
| ~ spl32_18
| spl32_24
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f567231,f389]) ).
fof(f567231,plain,
( ~ para(sK6,sK6,sK0,sK1)
| ~ spl32_13
| ~ spl32_18
| spl32_24
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f567230,f417340]) ).
fof(f417340,plain,
( ~ midp(sK0,sK0,sK6)
| spl32_24
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f417339,f375]) ).
fof(f375,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.EEb2XjM03D/Vampire---4.8_28259',ruleD68) ).
fof(f417339,plain,
( ~ cong(sK0,sK0,sK0,sK6)
| spl32_24
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f417328,f18329]) ).
fof(f18329,plain,
para(sK0,sK6,sK0,sK6),
inference(forward_literal_rewriting,[],[f18328,f388]) ).
fof(f18328,plain,
para(sK0,sK6,sK6,sK0),
inference(forward_literal_rewriting,[],[f18327,f389]) ).
fof(f18327,plain,
para(sK6,sK0,sK0,sK6),
inference(forward_literal_rewriting,[],[f18326,f388]) ).
fof(f18326,plain,
para(sK6,sK0,sK6,sK0),
inference(forward_literal_rewriting,[],[f18316,f450]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD39) ).
fof(f18316,plain,
eqangle(sK6,sK0,sK0,sK1,sK6,sK0,sK0,sK1),
inference(resolution,[],[f3835,f500]) ).
fof(f500,plain,
eqangle(sK0,sK2,sK0,sK4,sK6,sK0,sK0,sK1),
inference(forward_literal_rewriting,[],[f499,f476]) ).
fof(f476,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD18) ).
fof(f499,plain,
eqangle(sK2,sK0,sK0,sK4,sK6,sK0,sK0,sK1),
inference(forward_literal_rewriting,[],[f364,f477]) ).
fof(f477,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.EEb2XjM03D/Vampire---4.8_28259',ruleD20) ).
fof(f364,plain,
eqangle(sK6,sK0,sK0,sK1,sK2,sK0,sK0,sK4),
inference(cnf_transformation,[],[f322]) ).
fof(f3835,plain,
! [X21,X22,X23,X20] :
( ~ eqangle(sK0,sK2,sK0,sK4,X20,X21,X22,X23)
| eqangle(X20,X21,X22,X23,sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f1034,f477]) ).
fof(f1034,plain,
! [X6,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,sK0,sK2,sK0,sK4)
| eqangle(X4,X5,X6,X7,sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f500,f485]) ).
fof(f485,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD22) ).
fof(f417328,plain,
( ~ para(sK0,sK6,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK6)
| spl32_24
| ~ spl32_240 ),
inference(resolution,[],[f385351,f379]) ).
fof(f379,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.EEb2XjM03D/Vampire---4.8_28259',ruleD46) ).
fof(f385351,plain,
( ! [X10,X11,X8,X9] :
( ~ eqangle(sK0,sK0,sK0,sK6,X8,X9,X10,X11)
| ~ para(X8,X9,X10,X11) )
| spl32_24
| ~ spl32_240 ),
inference(resolution,[],[f373278,f480]) ).
fof(f480,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ 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.EEb2XjM03D/Vampire---4.8_28259',ruleD73) ).
fof(f373278,plain,
( ~ para(sK0,sK0,sK0,sK6)
| spl32_24
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f2308,f188649]) ).
fof(f2308,plain,
( ~ para(sK0,sK1,sK0,sK6)
| spl32_24 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2307,plain,
( spl32_24
<=> para(sK0,sK1,sK0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f567230,plain,
( midp(sK0,sK0,sK6)
| ~ para(sK6,sK6,sK0,sK1)
| ~ spl32_13
| ~ spl32_18
| ~ spl32_150
| ~ spl32_194 ),
inference(forward_literal_rewriting,[],[f567229,f373]) ).
fof(f567229,plain,
( midp(sK0,sK6,sK0)
| ~ para(sK6,sK6,sK0,sK1)
| ~ spl32_13
| ~ spl32_18
| ~ spl32_150
| ~ spl32_194 ),
inference(forward_literal_rewriting,[],[f567228,f260946]) ).
fof(f260946,plain,
( ! [X58,X57] :
( midp(sK0,X57,X58)
| ~ midp(X57,sK0,X58) )
| ~ spl32_13
| ~ spl32_150
| ~ spl32_194 ),
inference(forward_literal_rewriting,[],[f260555,f188108]) ).
fof(f188108,plain,
( ! [X28,X27] :
( midp(sK0,X27,X28)
| ~ para(sK5,X27,sK5,X28) )
| ~ spl32_194 ),
inference(subsumption_resolution,[],[f187723,f389]) ).
fof(f187723,plain,
( ! [X28,X27] :
( midp(sK0,X27,X28)
| ~ para(sK5,X28,sK5,X27)
| ~ para(sK5,X27,sK5,X28) )
| ~ spl32_194 ),
inference(resolution,[],[f37844,f423]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
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.EEb2XjM03D/Vampire---4.8_28259',ruleD64) ).
fof(f260555,plain,
( ! [X58,X57] :
( para(sK5,X57,sK5,X58)
| ~ midp(X57,sK0,X58) )
| ~ spl32_13
| ~ spl32_150
| ~ spl32_194 ),
inference(resolution,[],[f193131,f421]) ).
fof(f193131,plain,
( midp(sK5,sK0,sK5)
| ~ spl32_13
| ~ spl32_150
| ~ spl32_194 ),
inference(forward_literal_rewriting,[],[f193130,f373]) ).
fof(f193130,plain,
( midp(sK5,sK5,sK0)
| ~ spl32_13
| ~ spl32_150
| ~ spl32_194 ),
inference(forward_literal_rewriting,[],[f193090,f188107]) ).
fof(f188107,plain,
( ! [X26,X25] :
( midp(X25,sK5,X26)
| ~ para(sK0,X25,sK5,X26) )
| ~ spl32_150
| ~ spl32_194 ),
inference(subsumption_resolution,[],[f187722,f158414]) ).
fof(f187722,plain,
( ! [X26,X25] :
( midp(X25,sK5,X26)
| ~ coll(X25,sK5,X26)
| ~ para(sK0,X25,sK5,X26) )
| ~ spl32_194 ),
inference(resolution,[],[f37844,f422]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
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.EEb2XjM03D/Vampire---4.8_28259',ruleD45) ).
fof(f193090,plain,
( para(sK0,sK5,sK5,sK0)
| ~ spl32_13 ),
inference(resolution,[],[f183514,f388]) ).
fof(f183514,plain,
( para(sK0,sK5,sK0,sK5)
| ~ spl32_13 ),
inference(resolution,[],[f159728,f1778]) ).
fof(f159728,plain,
( ! [X2,X3] :
( ~ perp(X2,X3,sK5,sK10)
| para(sK0,sK5,X2,X3) )
| ~ spl32_13 ),
inference(resolution,[],[f159199,f393]) ).
fof(f159199,plain,
( ! [X26,X25] :
( ~ perp(sK5,sK10,X25,X26)
| para(sK0,sK5,X25,X26) )
| ~ spl32_13 ),
inference(resolution,[],[f1778,f456]) ).
fof(f567228,plain,
( midp(sK6,sK0,sK0)
| ~ para(sK6,sK6,sK0,sK1)
| ~ spl32_18
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f567222,f162232]) ).
fof(f567222,plain,
( cong(sK6,sK0,sK6,sK0)
| ~ para(sK6,sK6,sK0,sK1)
| ~ spl32_18
| ~ spl32_150 ),
inference(resolution,[],[f403169,f490]) ).
fof(f403169,plain,
( ! [X14,X12,X13] :
( ~ perp(X13,X14,X12,sK9)
| cong(sK6,sK0,X12,sK0)
| ~ para(sK6,X12,X13,X14) )
| ~ spl32_18
| ~ spl32_150 ),
inference(resolution,[],[f384509,f454]) ).
fof(f384509,plain,
( ! [X13] :
( ~ perp(sK6,X13,X13,sK9)
| cong(sK6,sK0,X13,sK0) )
| ~ spl32_18
| ~ spl32_150 ),
inference(resolution,[],[f383612,f401]) ).
fof(f401,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.EEb2XjM03D/Vampire---4.8_28259',ruleD52) ).
fof(f383612,plain,
( midp(sK0,sK6,sK9)
| ~ spl32_18
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f1988,f162232]) ).
fof(f1988,plain,
( cong(sK0,sK6,sK0,sK9)
| ~ spl32_18 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1987,plain,
( spl32_18
<=> cong(sK0,sK6,sK0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f442309,plain,
( ~ spl32_18
| ~ spl32_20
| ~ spl32_73
| ~ spl32_150
| spl32_237
| ~ spl32_240 ),
inference(avatar_contradiction_clause,[],[f442308]) ).
fof(f442308,plain,
( $false
| ~ spl32_18
| ~ spl32_20
| ~ spl32_73
| ~ spl32_150
| spl32_237
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f442307,f384842]) ).
fof(f384842,plain,
( para(sK0,sK0,sK8,sK9)
| ~ spl32_18
| ~ spl32_20
| ~ spl32_150
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f384841,f388]) ).
fof(f384841,plain,
( para(sK0,sK0,sK9,sK8)
| ~ spl32_18
| ~ spl32_20
| ~ spl32_150
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f384502,f188662]) ).
fof(f384502,plain,
( para(sK0,sK1,sK9,sK8)
| ~ spl32_18
| ~ spl32_20
| ~ spl32_150 ),
inference(resolution,[],[f383612,f165259]) ).
fof(f165259,plain,
( ! [X31,X30] :
( ~ midp(X30,sK6,X31)
| para(X30,sK1,X31,sK8) )
| ~ spl32_20
| ~ spl32_150 ),
inference(resolution,[],[f165225,f421]) ).
fof(f165225,plain,
( midp(sK1,sK6,sK8)
| ~ spl32_20
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f2001,f162232]) ).
fof(f2001,plain,
( cong(sK1,sK6,sK1,sK8)
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2000,plain,
( spl32_20
<=> cong(sK1,sK6,sK1,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f442307,plain,
( ~ para(sK0,sK0,sK8,sK9)
| ~ spl32_73
| spl32_237 ),
inference(forward_literal_rewriting,[],[f442300,f49996]) ).
fof(f49996,plain,
( ! [X2,X3] :
( perp(X2,X3,sK0,sK3)
| ~ para(sK0,sK0,X2,X3) )
| ~ spl32_73 ),
inference(resolution,[],[f40383,f389]) ).
fof(f40383,plain,
( ! [X22,X23] :
( ~ para(X22,X23,sK0,sK0)
| perp(X22,X23,sK0,sK3) )
| ~ spl32_73 ),
inference(resolution,[],[f7237,f454]) ).
fof(f7237,plain,
( perp(sK0,sK0,sK0,sK3)
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f7236]) ).
fof(f7236,plain,
( spl32_73
<=> perp(sK0,sK0,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f442300,plain,
( ~ perp(sK8,sK9,sK0,sK3)
| spl32_237 ),
inference(resolution,[],[f50719,f393]) ).
fof(f50719,plain,
( ~ perp(sK0,sK3,sK8,sK9)
| spl32_237 ),
inference(avatar_component_clause,[],[f50718]) ).
fof(f50718,plain,
( spl32_237
<=> perp(sK0,sK3,sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).
fof(f383601,plain,
( ~ spl32_150
| ~ spl32_240
| spl32_432 ),
inference(avatar_contradiction_clause,[],[f383600]) ).
fof(f383600,plain,
( $false
| ~ spl32_150
| ~ spl32_240
| spl32_432 ),
inference(subsumption_resolution,[],[f383599,f141908]) ).
fof(f383599,plain,
( ~ para(sK1,sK1,sK0,sK0)
| ~ spl32_240
| spl32_432 ),
inference(forward_literal_rewriting,[],[f383598,f130005]) ).
fof(f383598,plain,
( ~ para(sK2,sK2,sK0,sK0)
| ~ spl32_240
| spl32_432 ),
inference(forward_literal_rewriting,[],[f383597,f129942]) ).
fof(f129942,plain,
! [X2,X3] :
( para(X2,X3,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4))
| ~ para(sK2,sK2,X2,X3) ),
inference(resolution,[],[f8720,f389]) ).
fof(f8720,plain,
! [X10,X9] :
( ~ para(X9,X10,sK2,sK2)
| para(X9,X10,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)) ),
inference(resolution,[],[f3316,f453]) ).
fof(f383597,plain,
( ~ para(sK0,sK0,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4))
| ~ spl32_240
| spl32_432 ),
inference(forward_literal_rewriting,[],[f132168,f188649]) ).
fof(f132168,plain,
( ~ para(sK0,sK1,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4))
| spl32_432 ),
inference(avatar_component_clause,[],[f132167]) ).
fof(f132167,plain,
( spl32_432
<=> para(sK0,sK1,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_432])]) ).
fof(f383391,plain,
( ~ spl32_13
| spl32_67
| ~ spl32_150 ),
inference(avatar_contradiction_clause,[],[f383390]) ).
fof(f383390,plain,
( $false
| ~ spl32_13
| spl32_67
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f383389,f378561]) ).
fof(f378561,plain,
( midp(sK1,sK2,sK4)
| ~ spl32_13
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f194907,f281041]) ).
fof(f281041,plain,
( ! [X8,X9,X7] :
( midp(X7,X8,X9)
| ~ midp(X9,X8,X7) )
| ~ spl32_13
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f280682,f158414]) ).
fof(f280682,plain,
( ! [X8,X9,X7] :
( midp(X7,X8,X9)
| ~ coll(X7,X8,X9)
| ~ midp(X9,X8,X7) )
| ~ spl32_13
| ~ spl32_150 ),
inference(resolution,[],[f279442,f422]) ).
fof(f279442,plain,
( ! [X12,X13] : para(X12,X13,X13,X12)
| ~ spl32_13
| ~ spl32_150 ),
inference(resolution,[],[f278809,f388]) ).
fof(f278809,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl32_13
| ~ spl32_150 ),
inference(resolution,[],[f159932,f159917]) ).
fof(f159917,plain,
( ! [X51,X52] : perp(sK0,sK23(sK0,sK10,sK5,X51,X52),X51,X52)
| ~ spl32_13
| ~ spl32_150 ),
inference(resolution,[],[f159236,f393]) ).
fof(f159236,plain,
( ! [X19,X20] : perp(X19,X20,sK0,sK23(sK0,sK10,sK5,X19,X20))
| ~ spl32_13
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f159235,f392]) ).
fof(f159235,plain,
( ! [X19,X20] : perp(X19,X20,sK23(sK0,sK10,sK5,X19,X20),sK0)
| ~ spl32_13
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f159234,f393]) ).
fof(f159234,plain,
( ! [X19,X20] : perp(sK23(sK0,sK10,sK5,X19,X20),sK0,X19,X20)
| ~ spl32_13
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f159169,f158414]) ).
fof(f159169,plain,
( ! [X19,X20] :
( perp(sK23(sK0,sK10,sK5,X19,X20),sK0,X19,X20)
| ~ coll(sK10,X19,X20) )
| ~ spl32_13 ),
inference(resolution,[],[f1778,f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK23(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK23(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK23(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f257,f343]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK23(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK23(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f256]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleX15) ).
fof(f159932,plain,
( ! [X83,X86,X84,X85] :
( ~ perp(sK0,sK23(sK0,sK10,sK5,X83,X84),X85,X86)
| para(X83,X84,X85,X86) )
| ~ spl32_13
| ~ spl32_150 ),
inference(resolution,[],[f159236,f456]) ).
fof(f194907,plain,
( midp(sK4,sK2,sK1)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f194803,f1662]) ).
fof(f194803,plain,
( midp(sK4,sK2,sK1)
| ~ para(sK1,sK1,sK2,sK2)
| ~ spl32_150 ),
inference(resolution,[],[f147192,f2982]) ).
fof(f2982,plain,
! [X0,X1] :
( ~ para(sK1,X1,X0,sK2)
| midp(sK4,X1,X0)
| ~ para(sK1,X0,sK2,X1) ),
inference(resolution,[],[f729,f388]) ).
fof(f729,plain,
! [X12,X13] :
( ~ para(sK1,X12,sK2,X13)
| ~ para(sK1,X13,sK2,X12)
| midp(sK4,X12,X13) ),
inference(resolution,[],[f503,f423]) ).
fof(f147192,plain,
( ! [X40] : para(sK1,X40,sK1,X40)
| ~ spl32_150 ),
inference(resolution,[],[f141915,f388]) ).
fof(f141915,plain,
( ! [X23] : para(sK1,X23,X23,sK1)
| ~ spl32_150 ),
inference(resolution,[],[f21839,f21834]) ).
fof(f383389,plain,
( ~ midp(sK1,sK2,sK4)
| spl32_67 ),
inference(forward_literal_rewriting,[],[f5684,f375]) ).
fof(f5684,plain,
( ~ cong(sK1,sK2,sK1,sK4)
| spl32_67 ),
inference(avatar_component_clause,[],[f5683]) ).
fof(f5683,plain,
( spl32_67
<=> cong(sK1,sK2,sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f357086,plain,
( ~ spl32_13
| ~ spl32_23
| ~ spl32_25
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240
| spl32_515 ),
inference(avatar_contradiction_clause,[],[f357085]) ).
fof(f357085,plain,
( $false
| ~ spl32_13
| ~ spl32_23
| ~ spl32_25
| ~ spl32_150
| ~ spl32_194
| ~ spl32_240
| spl32_515 ),
inference(subsumption_resolution,[],[f356615,f187711]) ).
fof(f187711,plain,
( ~ para(sK0,sK5,sK5,sK10)
| ~ spl32_150
| ~ spl32_194
| spl32_515 ),
inference(resolution,[],[f37844,f159620]) ).
fof(f159620,plain,
( ! [X4,X5] :
( ~ midp(X4,sK5,X5)
| ~ para(X4,sK5,X5,sK10) )
| ~ spl32_150
| spl32_515 ),
inference(subsumption_resolution,[],[f159616,f158414]) ).
fof(f159616,plain,
( ! [X4,X5] :
( ~ coll(sK5,sK5,sK10)
| ~ para(X4,sK5,X5,sK10)
| ~ midp(X4,sK5,X5) )
| spl32_515 ),
inference(resolution,[],[f159609,f422]) ).
fof(f159609,plain,
( ~ midp(sK5,sK5,sK10)
| spl32_515 ),
inference(avatar_component_clause,[],[f159608]) ).
fof(f159608,plain,
( spl32_515
<=> midp(sK5,sK5,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_515])]) ).
fof(f356615,plain,
( para(sK0,sK5,sK5,sK10)
| ~ spl32_13
| ~ spl32_23
| ~ spl32_25
| ~ spl32_240 ),
inference(resolution,[],[f353696,f159199]) ).
fof(f353696,plain,
( ! [X0,X1] : perp(X0,X1,X0,X1)
| ~ spl32_23
| ~ spl32_25
| ~ spl32_240 ),
inference(resolution,[],[f289994,f285803]) ).
fof(f285803,plain,
( ! [X2,X3] : eqangle(sK0,sK2,sK0,sK4,X2,X3,X2,X3)
| ~ spl32_23
| ~ spl32_240 ),
inference(subsumption_resolution,[],[f283656,f285757]) ).
fof(f285757,plain,
( para(sK0,sK0,sK0,sK6)
| ~ spl32_23
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f285756,f388]) ).
fof(f285756,plain,
( para(sK0,sK0,sK6,sK0)
| ~ spl32_23
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f285755,f188662]) ).
fof(f285755,plain,
( para(sK0,sK1,sK6,sK0)
| ~ spl32_23 ),
inference(forward_literal_rewriting,[],[f285754,f450]) ).
fof(f285754,plain,
( eqangle(sK0,sK1,sK0,sK2,sK6,sK0,sK0,sK2)
| ~ spl32_23 ),
inference(forward_literal_rewriting,[],[f285753,f475]) ).
fof(f285753,plain,
( eqangle(sK0,sK2,sK0,sK1,sK0,sK2,sK6,sK0)
| ~ spl32_23 ),
inference(forward_literal_rewriting,[],[f285752,f478]) ).
fof(f478,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.EEb2XjM03D/Vampire---4.8_28259',ruleD21) ).
fof(f285752,plain,
( eqangle(sK0,sK2,sK0,sK2,sK0,sK1,sK6,sK0)
| ~ spl32_23 ),
inference(forward_literal_rewriting,[],[f285698,f475]) ).
fof(f285698,plain,
( eqangle(sK0,sK2,sK0,sK2,sK6,sK0,sK0,sK1)
| ~ spl32_23 ),
inference(resolution,[],[f2305,f18402]) ).
fof(f18402,plain,
! [X6,X7] :
( ~ para(X6,X7,sK0,sK4)
| eqangle(sK0,sK2,X6,X7,sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f3837,f440]) ).
fof(f3837,plain,
! [X31,X28,X29,X30] :
( ~ eqangle(X30,X31,X28,X29,sK0,sK4,sK0,sK2)
| eqangle(X28,X29,X30,X31,sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f1034,f475]) ).
fof(f2305,plain,
( para(sK0,sK2,sK0,sK4)
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2304,plain,
( spl32_23
<=> para(sK0,sK2,sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f283656,plain,
( ! [X2,X3] :
( ~ para(sK0,sK0,sK0,sK6)
| eqangle(sK0,sK2,sK0,sK4,X2,X3,X2,X3) )
| ~ spl32_240 ),
inference(forward_literal_rewriting,[],[f18422,f188649]) ).
fof(f18422,plain,
! [X2,X3] :
( eqangle(sK0,sK2,sK0,sK4,X2,X3,X2,X3)
| ~ para(sK0,sK1,sK0,sK6) ),
inference(resolution,[],[f3845,f440]) ).
fof(f3845,plain,
! [X18,X16,X17,X15] :
( ~ eqangle(sK0,sK1,X17,X18,sK0,sK6,X15,X16)
| eqangle(sK0,sK2,sK0,sK4,X15,X16,X17,X18) ),
inference(resolution,[],[f1046,f478]) ).
fof(f1046,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(sK0,sK1,sK0,sK6,X2,X3,X0,X1)
| eqangle(sK0,sK2,sK0,sK4,X0,X1,X2,X3) ),
inference(forward_literal_rewriting,[],[f1045,f475]) ).
fof(f1045,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(sK0,sK6,sK0,sK1,X0,X1,X2,X3)
| eqangle(sK0,sK2,sK0,sK4,X0,X1,X2,X3) ),
inference(forward_literal_rewriting,[],[f1033,f476]) ).
fof(f1033,plain,
! [X2,X3,X0,X1] :
( eqangle(sK0,sK2,sK0,sK4,X0,X1,X2,X3)
| ~ eqangle(sK6,sK0,sK0,sK1,X0,X1,X2,X3) ),
inference(resolution,[],[f500,f485]) ).
fof(f289994,plain,
( ! [X21,X22,X23,X20] :
( ~ eqangle(sK0,sK2,sK0,sK4,X20,X21,X22,X23)
| perp(X20,X21,X22,X23) )
| ~ spl32_25 ),
inference(resolution,[],[f285862,f477]) ).
fof(f285862,plain,
( ! [X18,X16,X17,X15] :
( ~ eqangle(X15,X16,X17,X18,sK0,sK2,sK0,sK4)
| perp(X15,X16,X17,X18) )
| ~ spl32_25 ),
inference(resolution,[],[f2325,f481]) ).
fof(f2325,plain,
( perp(sK0,sK2,sK0,sK4)
| ~ spl32_25 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f2324,plain,
( spl32_25
<=> perp(sK0,sK2,sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f285759,plain,
( ~ spl32_23
| spl32_26
| ~ spl32_73
| ~ spl32_240
| ~ spl32_241 ),
inference(avatar_contradiction_clause,[],[f285758]) ).
fof(f285758,plain,
( $false
| ~ spl32_23
| spl32_26
| ~ spl32_73
| ~ spl32_240
| ~ spl32_241 ),
inference(subsumption_resolution,[],[f285757,f190579]) ).
fof(f190579,plain,
( ~ para(sK0,sK0,sK0,sK6)
| spl32_26
| ~ spl32_73
| ~ spl32_241 ),
inference(forward_literal_rewriting,[],[f190578,f49996]) ).
fof(f190578,plain,
( ~ perp(sK0,sK6,sK0,sK3)
| spl32_26
| ~ spl32_241 ),
inference(forward_literal_rewriting,[],[f190577,f392]) ).
fof(f190577,plain,
( ~ perp(sK0,sK6,sK3,sK0)
| spl32_26
| ~ spl32_241 ),
inference(forward_literal_rewriting,[],[f190524,f393]) ).
fof(f190524,plain,
( ~ perp(sK3,sK0,sK0,sK6)
| spl32_26
| ~ spl32_241 ),
inference(resolution,[],[f50758,f7505]) ).
fof(f7505,plain,
( ! [X0,X1] :
( ~ para(sK0,sK1,X1,X0)
| ~ perp(X0,X1,sK0,sK6) )
| spl32_26 ),
inference(resolution,[],[f2335,f388]) ).
fof(f2335,plain,
( ! [X0,X1] :
( ~ para(sK0,sK1,X0,X1)
| ~ perp(X0,X1,sK0,sK6) )
| spl32_26 ),
inference(resolution,[],[f2328,f454]) ).
fof(f2328,plain,
( ~ perp(sK0,sK1,sK0,sK6)
| spl32_26 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2327,plain,
( spl32_26
<=> perp(sK0,sK1,sK0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f50758,plain,
( para(sK0,sK1,sK0,sK3)
| ~ spl32_241 ),
inference(avatar_component_clause,[],[f50757]) ).
fof(f50757,plain,
( spl32_241
<=> para(sK0,sK1,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).
fof(f190627,plain,
( ~ spl32_150
| spl32_303 ),
inference(avatar_contradiction_clause,[],[f190626]) ).
fof(f190626,plain,
( $false
| ~ spl32_150
| spl32_303 ),
inference(subsumption_resolution,[],[f190625,f148262]) ).
fof(f190625,plain,
( ~ para(sK2,sK1,sK2,sK1)
| ~ spl32_150
| spl32_303 ),
inference(forward_literal_rewriting,[],[f190624,f440]) ).
fof(f190624,plain,
( ~ eqangle(sK2,sK1,sK2,sK1,sK2,sK1,sK2,sK1)
| ~ spl32_150
| spl32_303 ),
inference(subsumption_resolution,[],[f190618,f155746]) ).
fof(f190618,plain,
( ~ coll(sK2,sK2,sK1)
| ~ eqangle(sK2,sK1,sK2,sK1,sK2,sK1,sK2,sK1)
| spl32_303 ),
inference(resolution,[],[f86173,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD42b) ).
fof(f86173,plain,
( ~ cyclic(sK1,sK1,sK2,sK2)
| spl32_303 ),
inference(avatar_component_clause,[],[f86172]) ).
fof(f86172,plain,
( spl32_303
<=> cyclic(sK1,sK1,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).
fof(f184979,plain,
( ~ spl32_150
| ~ spl32_216
| ~ spl32_255
| ~ spl32_296 ),
inference(avatar_contradiction_clause,[],[f184978]) ).
fof(f184978,plain,
( $false
| ~ spl32_150
| ~ spl32_216
| ~ spl32_255
| ~ spl32_296 ),
inference(subsumption_resolution,[],[f184977,f159151]) ).
fof(f159151,plain,
( ! [X59] : para(sK0,sK1,X59,X59)
| ~ spl32_150
| ~ spl32_216 ),
inference(forward_literal_rewriting,[],[f159150,f2176]) ).
fof(f159150,plain,
( ! [X59] : perp(X59,X59,sK6,sK9)
| ~ spl32_150
| ~ spl32_216 ),
inference(subsumption_resolution,[],[f159038,f42605]) ).
fof(f42605,plain,
( para(sK0,sK1,sK1,sK1)
| ~ spl32_216 ),
inference(avatar_component_clause,[],[f42604]) ).
fof(f42604,plain,
( spl32_216
<=> para(sK0,sK1,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_216])]) ).
fof(f159038,plain,
( ! [X59] :
( ~ para(sK0,sK1,sK1,sK1)
| perp(X59,X59,sK6,sK9) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f148610,f142869]) ).
fof(f142869,plain,
( ! [X54,X55,X53] :
( para(X53,X54,X55,X55)
| ~ para(X53,X54,sK1,sK1) )
| ~ spl32_150 ),
inference(resolution,[],[f141908,f453]) ).
fof(f148610,plain,
( ! [X59] :
( ~ para(sK0,sK1,sK2,sK2)
| perp(X59,X59,sK6,sK9) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f148552,f39677]) ).
fof(f148552,plain,
( ! [X59] :
( ~ para(sK1,sK1,sK0,sK1)
| perp(X59,X59,sK6,sK9) )
| ~ spl32_150 ),
inference(resolution,[],[f142860,f2161]) ).
fof(f184977,plain,
( ~ para(sK0,sK1,sK5,sK5)
| ~ spl32_150
| ~ spl32_255
| ~ spl32_296 ),
inference(forward_literal_rewriting,[],[f184966,f147201]) ).
fof(f147201,plain,
( ! [X58,X56,X57] :
( para(sK1,X56,X57,X58)
| ~ para(X56,sK1,X57,X58) )
| ~ spl32_150 ),
inference(resolution,[],[f141915,f453]) ).
fof(f184966,plain,
( ~ para(sK1,sK0,sK5,sK5)
| ~ spl32_150
| ~ spl32_255
| ~ spl32_296 ),
inference(resolution,[],[f82794,f147307]) ).
fof(f147307,plain,
( ! [X40] : midp(sK1,X40,X40)
| ~ spl32_150
| ~ spl32_255 ),
inference(forward_literal_rewriting,[],[f147306,f138129]) ).
fof(f138129,plain,
( ! [X32,X33] :
( midp(sK1,X32,X33)
| ~ midp(sK2,X32,X33) )
| ~ spl32_255 ),
inference(forward_literal_rewriting,[],[f137758,f39369]) ).
fof(f39369,plain,
! [X34,X35] :
( midp(sK1,X34,X35)
| ~ para(sK2,X34,sK2,X35) ),
inference(subsumption_resolution,[],[f39004,f389]) ).
fof(f39004,plain,
! [X34,X35] :
( midp(sK1,X34,X35)
| ~ para(sK2,X35,sK2,X34)
| ~ para(sK2,X34,sK2,X35) ),
inference(resolution,[],[f38751,f423]) ).
fof(f38751,plain,
midp(sK1,sK2,sK2),
inference(subsumption_resolution,[],[f38660,f5838]) ).
fof(f5838,plain,
coll(sK1,sK2,sK2),
inference(resolution,[],[f5824,f378]) ).
fof(f5824,plain,
para(sK1,sK2,sK1,sK2),
inference(forward_literal_rewriting,[],[f5823,f388]) ).
fof(f5823,plain,
para(sK1,sK2,sK2,sK1),
inference(resolution,[],[f1661,f503]) ).
fof(f1661,plain,
! [X14,X15] :
( ~ midp(sK4,X15,X14)
| para(sK1,X14,sK2,X15) ),
inference(resolution,[],[f724,f373]) ).
fof(f38660,plain,
( midp(sK1,sK2,sK2)
| ~ coll(sK1,sK2,sK2) ),
inference(resolution,[],[f38653,f380]) ).
fof(f38653,plain,
cong(sK1,sK2,sK1,sK2),
inference(subsumption_resolution,[],[f38652,f751]) ).
fof(f751,plain,
cong(sK1,sK4,sK2,sK4),
inference(forward_literal_rewriting,[],[f750,f391]) ).
fof(f391,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.EEb2XjM03D/Vampire---4.8_28259',ruleD24) ).
fof(f750,plain,
cong(sK2,sK4,sK1,sK4),
inference(forward_literal_rewriting,[],[f749,f390]) ).
fof(f390,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.EEb2XjM03D/Vampire---4.8_28259',ruleD23) ).
fof(f749,plain,
cong(sK2,sK4,sK4,sK1),
inference(forward_literal_rewriting,[],[f748,f391]) ).
fof(f748,plain,
cong(sK4,sK1,sK2,sK4),
inference(forward_literal_rewriting,[],[f721,f390]) ).
fof(f721,plain,
cong(sK4,sK1,sK4,sK2),
inference(resolution,[],[f503,f375]) ).
fof(f38652,plain,
( ~ cong(sK1,sK4,sK2,sK4)
| cong(sK1,sK2,sK1,sK2) ),
inference(forward_literal_rewriting,[],[f38646,f6140]) ).
fof(f6140,plain,
! [X22,X23] :
( ~ cong(sK1,sK4,X22,X23)
| cong(X22,X23,sK2,sK4) ),
inference(resolution,[],[f1050,f391]) ).
fof(f1050,plain,
! [X8,X9] :
( ~ cong(X8,X9,sK1,sK4)
| cong(X8,X9,sK2,sK4) ),
inference(resolution,[],[f751,f455]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,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.EEb2XjM03D/Vampire---4.8_28259',ruleD25) ).
fof(f38646,plain,
( cong(sK1,sK2,sK1,sK2)
| ~ cong(sK2,sK4,sK2,sK4) ),
inference(resolution,[],[f16910,f479]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
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.EEb2XjM03D/Vampire---4.8_28259',ruleD75) ).
fof(f16910,plain,
eqratio(sK1,sK2,sK1,sK2,sK2,sK4,sK2,sK4),
inference(subsumption_resolution,[],[f16897,f747]) ).
fof(f747,plain,
coll(sK1,sK2,sK4),
inference(forward_literal_rewriting,[],[f746,f376]) ).
fof(f746,plain,
coll(sK1,sK4,sK2),
inference(forward_literal_rewriting,[],[f720,f377]) ).
fof(f720,plain,
coll(sK4,sK1,sK2),
inference(resolution,[],[f503,f374]) ).
fof(f374,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.EEb2XjM03D/Vampire---4.8_28259',ruleD69) ).
fof(f16897,plain,
( ~ coll(sK1,sK2,sK4)
| eqratio(sK1,sK2,sK1,sK2,sK2,sK4,sK2,sK4) ),
inference(resolution,[],[f886,f1684]) ).
fof(f1684,plain,
para(sK2,sK2,sK4,sK4),
inference(forward_literal_rewriting,[],[f1677,f389]) ).
fof(f1677,plain,
para(sK4,sK4,sK2,sK2),
inference(resolution,[],[f727,f503]) ).
fof(f727,plain,
! [X8,X9] :
( ~ midp(X8,sK1,X9)
| para(X8,sK4,X9,sK2) ),
inference(resolution,[],[f503,f421]) ).
fof(f886,plain,
! [X8,X9] :
( ~ para(sK2,X8,sK4,X9)
| ~ coll(sK1,X8,X9)
| eqratio(sK1,sK2,sK1,X8,sK2,sK4,X8,X9) ),
inference(forward_literal_rewriting,[],[f867,f473]) ).
fof(f473,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.EEb2XjM03D/Vampire---4.8_28259',ruleD29) ).
fof(f867,plain,
! [X8,X9] :
( eqratio(sK1,sK2,sK2,sK4,sK1,X8,X8,X9)
| ~ coll(sK1,X8,X9)
| ~ para(sK2,X8,sK4,X9) ),
inference(resolution,[],[f747,f429]) ).
fof(f429,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.EEb2XjM03D/Vampire---4.8_28259',ruleD65) ).
fof(f137758,plain,
( ! [X32,X33] :
( para(sK2,X32,sK2,X33)
| ~ midp(sK2,X32,X33) )
| ~ spl32_255 ),
inference(resolution,[],[f135782,f420]) ).
fof(f135782,plain,
( midp(sK2,sK2,sK2)
| ~ spl32_255 ),
inference(resolution,[],[f53959,f5868]) ).
fof(f5868,plain,
! [X1] :
( ~ midp(X1,sK1,sK1)
| midp(X1,sK2,sK2) ),
inference(subsumption_resolution,[],[f5843,f5824]) ).
fof(f5843,plain,
! [X1] :
( midp(X1,sK2,sK2)
| ~ para(sK1,sK2,sK1,sK2)
| ~ midp(X1,sK1,sK1) ),
inference(resolution,[],[f5824,f423]) ).
fof(f53959,plain,
( midp(sK2,sK1,sK1)
| ~ spl32_255 ),
inference(avatar_component_clause,[],[f53958]) ).
fof(f53958,plain,
( spl32_255
<=> midp(sK2,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).
fof(f147306,plain,
( ! [X40] : midp(sK2,X40,X40)
| ~ spl32_150
| ~ spl32_255 ),
inference(forward_literal_rewriting,[],[f147192,f136234]) ).
fof(f136234,plain,
( ! [X80,X81] :
( midp(sK2,X80,X81)
| ~ para(sK1,X80,sK1,X81) )
| ~ spl32_255 ),
inference(subsumption_resolution,[],[f135837,f389]) ).
fof(f135837,plain,
( ! [X80,X81] :
( midp(sK2,X80,X81)
| ~ para(sK1,X81,sK1,X80)
| ~ para(sK1,X80,sK1,X81) )
| ~ spl32_255 ),
inference(resolution,[],[f53959,f423]) ).
fof(f82794,plain,
( ! [X4,X5] :
( ~ midp(X4,sK5,X5)
| ~ para(X4,sK0,X5,sK5) )
| ~ spl32_296 ),
inference(avatar_component_clause,[],[f82793]) ).
fof(f82793,plain,
( spl32_296
<=> ! [X4,X5] :
( ~ para(X4,sK0,X5,sK5)
| ~ midp(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).
fof(f176649,plain,
( ~ spl32_150
| ~ spl32_216
| ~ spl32_219
| ~ spl32_221
| ~ spl32_255
| ~ spl32_307 ),
inference(avatar_contradiction_clause,[],[f176648]) ).
fof(f176648,plain,
( $false
| ~ spl32_150
| ~ spl32_216
| ~ spl32_219
| ~ spl32_221
| ~ spl32_255
| ~ spl32_307 ),
inference(subsumption_resolution,[],[f176647,f164303]) ).
fof(f164303,plain,
( para(sK0,sK1,sK6,sK9)
| ~ spl32_216
| ~ spl32_219
| ~ spl32_221 ),
inference(forward_literal_rewriting,[],[f164302,f388]) ).
fof(f164302,plain,
( para(sK0,sK1,sK9,sK6)
| ~ spl32_216
| ~ spl32_219
| ~ spl32_221 ),
inference(forward_literal_rewriting,[],[f164254,f162797]) ).
fof(f162797,plain,
( ! [X19,X20] :
( para(sK0,sK1,X19,X20)
| ~ para(sK1,sK1,X19,X20) )
| ~ spl32_216 ),
inference(resolution,[],[f42605,f453]) ).
fof(f164254,plain,
( para(sK1,sK1,sK9,sK6)
| ~ spl32_219
| ~ spl32_221 ),
inference(resolution,[],[f159034,f388]) ).
fof(f159034,plain,
( para(sK1,sK1,sK6,sK9)
| ~ spl32_219
| ~ spl32_221 ),
inference(forward_literal_rewriting,[],[f42692,f49890]) ).
fof(f49890,plain,
( ! [X12,X13] :
( para(sK1,sK1,X12,X13)
| ~ para(sK1,sK2,X12,X13) )
| ~ spl32_221 ),
inference(resolution,[],[f42658,f453]) ).
fof(f42658,plain,
( para(sK1,sK1,sK1,sK2)
| ~ spl32_221 ),
inference(avatar_component_clause,[],[f42657]) ).
fof(f42657,plain,
( spl32_221
<=> para(sK1,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_221])]) ).
fof(f42692,plain,
( para(sK1,sK2,sK6,sK9)
| ~ spl32_219 ),
inference(avatar_component_clause,[],[f42631]) ).
fof(f42631,plain,
( spl32_219
<=> para(sK1,sK2,sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).
fof(f176647,plain,
( ~ para(sK0,sK1,sK6,sK9)
| ~ spl32_150
| ~ spl32_255
| ~ spl32_307 ),
inference(forward_literal_rewriting,[],[f176632,f147201]) ).
fof(f176632,plain,
( ~ para(sK1,sK0,sK6,sK9)
| ~ spl32_150
| ~ spl32_255
| ~ spl32_307 ),
inference(resolution,[],[f86304,f147307]) ).
fof(f86304,plain,
( ! [X4,X5] :
( ~ midp(X4,sK6,X5)
| ~ para(X4,sK0,X5,sK9) )
| ~ spl32_307 ),
inference(avatar_component_clause,[],[f86303]) ).
fof(f86303,plain,
( spl32_307
<=> ! [X4,X5] :
( ~ para(X4,sK0,X5,sK9)
| ~ midp(X4,sK6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).
fof(f174769,plain,
( ~ spl32_150
| spl32_339
| ~ spl32_346 ),
inference(avatar_contradiction_clause,[],[f174768]) ).
fof(f174768,plain,
( $false
| ~ spl32_150
| spl32_339
| ~ spl32_346 ),
inference(subsumption_resolution,[],[f174767,f158461]) ).
fof(f158461,plain,
( para(sK0,sK1,sK6,sK8)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f11846,f158414]) ).
fof(f11846,plain,
( ~ coll(sK0,sK2,sK3)
| para(sK0,sK1,sK6,sK8) ),
inference(forward_literal_rewriting,[],[f11845,f376]) ).
fof(f11845,plain,
( ~ coll(sK0,sK3,sK2)
| para(sK0,sK1,sK6,sK8) ),
inference(forward_literal_rewriting,[],[f11842,f377]) ).
fof(f11842,plain,
( ~ coll(sK3,sK0,sK2)
| para(sK0,sK1,sK6,sK8) ),
inference(resolution,[],[f2290,f360]) ).
fof(f360,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f2290,plain,
! [X26,X25] :
( ~ circle(X26,X25,sK1,sK2)
| ~ coll(X26,X25,sK2)
| para(X25,sK1,sK6,sK8) ),
inference(resolution,[],[f981,f396]) ).
fof(f396,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.EEb2XjM03D/Vampire---4.8_28259',ruleD53) ).
fof(f981,plain,
! [X4,X5] :
( ~ perp(X4,X5,sK1,sK2)
| para(X4,X5,sK6,sK8) ),
inference(resolution,[],[f494,f456]) ).
fof(f494,plain,
perp(sK1,sK2,sK6,sK8),
inference(forward_literal_rewriting,[],[f493,f392]) ).
fof(f493,plain,
perp(sK1,sK2,sK8,sK6),
inference(forward_literal_rewriting,[],[f368,f393]) ).
fof(f368,plain,
perp(sK8,sK6,sK1,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f174767,plain,
( ~ para(sK0,sK1,sK6,sK8)
| spl32_339
| ~ spl32_346 ),
inference(forward_literal_rewriting,[],[f174766,f13143]) ).
fof(f13143,plain,
! [X0,X1] :
( ~ para(X0,X1,sK6,sK8)
| perp(sK1,sK2,X0,X1) ),
inference(resolution,[],[f3225,f440]) ).
fof(f3225,plain,
! [X24,X22,X25,X23] :
( ~ eqangle(X24,X25,X22,X23,sK6,sK8,sK1,sK2)
| perp(X22,X23,X24,X25) ),
inference(resolution,[],[f982,f475]) ).
fof(f982,plain,
! [X8,X6,X9,X7] :
( ~ eqangle(X6,X7,X8,X9,sK1,sK2,sK6,sK8)
| perp(X6,X7,X8,X9) ),
inference(resolution,[],[f494,f481]) ).
fof(f174766,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| spl32_339
| ~ spl32_346 ),
inference(subsumption_resolution,[],[f174702,f101863]) ).
fof(f101863,plain,
( ~ para(sK0,sK13(sK0,sK6,sK11,sK3),sK6,sK9)
| spl32_339 ),
inference(avatar_component_clause,[],[f101862]) ).
fof(f101862,plain,
( spl32_339
<=> para(sK0,sK13(sK0,sK6,sK11,sK3),sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).
fof(f174702,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| para(sK0,sK13(sK0,sK6,sK11,sK3),sK6,sK9)
| ~ spl32_346 ),
inference(resolution,[],[f101956,f2190]) ).
fof(f2190,plain,
! [X10,X11,X12,X13] :
( ~ para(X10,X11,X12,X13)
| ~ perp(X12,X13,sK0,sK1)
| para(X10,X11,sK6,sK9) ),
inference(resolution,[],[f918,f454]) ).
fof(f918,plain,
! [X4,X5] :
( ~ perp(X4,X5,sK0,sK1)
| para(X4,X5,sK6,sK9) ),
inference(resolution,[],[f490,f456]) ).
fof(f101956,plain,
( para(sK0,sK13(sK0,sK6,sK11,sK3),sK1,sK2)
| ~ spl32_346 ),
inference(avatar_component_clause,[],[f101955]) ).
fof(f101955,plain,
( spl32_346
<=> para(sK0,sK13(sK0,sK6,sK11,sK3),sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).
fof(f173017,plain,
( ~ spl32_221
| ~ spl32_243
| spl32_344 ),
inference(avatar_contradiction_clause,[],[f173016]) ).
fof(f173016,plain,
( $false
| ~ spl32_221
| ~ spl32_243
| spl32_344 ),
inference(subsumption_resolution,[],[f173015,f39674]) ).
fof(f39674,plain,
para(sK1,sK1,sK6,sK8),
inference(resolution,[],[f2709,f14718]) ).
fof(f14718,plain,
para(sK2,sK2,sK6,sK8),
inference(subsumption_resolution,[],[f14717,f6150]) ).
fof(f6150,plain,
perp(sK1,sK2,sK4,sK4),
inference(resolution,[],[f1053,f751]) ).
fof(f1053,plain,
! [X10] :
( ~ cong(sK1,X10,sK2,X10)
| perp(sK1,sK2,sK4,X10) ),
inference(resolution,[],[f751,f400]) ).
fof(f400,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.EEb2XjM03D/Vampire---4.8_28259',ruleD56) ).
fof(f14717,plain,
( ~ perp(sK1,sK2,sK4,sK4)
| para(sK2,sK2,sK6,sK8) ),
inference(forward_literal_rewriting,[],[f14704,f393]) ).
fof(f14704,plain,
( ~ perp(sK4,sK4,sK1,sK2)
| para(sK2,sK2,sK6,sK8) ),
inference(resolution,[],[f2286,f1684]) ).
fof(f2286,plain,
! [X10,X11,X12,X13] :
( ~ para(X10,X11,X12,X13)
| ~ perp(X12,X13,sK1,sK2)
| para(X10,X11,sK6,sK8) ),
inference(resolution,[],[f981,f454]) ).
fof(f173015,plain,
( ~ para(sK1,sK1,sK6,sK8)
| ~ spl32_221
| ~ spl32_243
| spl32_344 ),
inference(forward_literal_rewriting,[],[f173014,f121447]) ).
fof(f121447,plain,
( ! [X52,X53] :
( para(sK1,sK2,X52,X53)
| ~ para(sK1,sK1,X52,X53) )
| ~ spl32_221 ),
inference(resolution,[],[f14551,f42658]) ).
fof(f14551,plain,
! [X6,X7,X4,X5] :
( ~ para(X4,X5,sK1,sK2)
| para(sK1,sK2,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(forward_literal_rewriting,[],[f14529,f2229]) ).
fof(f2229,plain,
! [X2,X3] :
( ~ perp(X2,X3,sK6,sK8)
| para(sK1,sK2,X2,X3) ),
inference(resolution,[],[f980,f393]) ).
fof(f980,plain,
! [X2,X3] :
( ~ perp(sK6,sK8,X2,X3)
| para(sK1,sK2,X2,X3) ),
inference(resolution,[],[f494,f456]) ).
fof(f14529,plain,
! [X6,X7,X4,X5] :
( ~ para(X4,X5,sK1,sK2)
| perp(X6,X7,sK6,sK8)
| ~ para(X4,X5,X6,X7) ),
inference(resolution,[],[f2214,f389]) ).
fof(f2214,plain,
! [X21,X18,X19,X20] :
( ~ para(X18,X19,X20,X21)
| ~ para(X20,X21,sK1,sK2)
| perp(X18,X19,sK6,sK8) ),
inference(resolution,[],[f979,f453]) ).
fof(f979,plain,
! [X0,X1] :
( ~ para(X0,X1,sK1,sK2)
| perp(X0,X1,sK6,sK8) ),
inference(resolution,[],[f494,f454]) ).
fof(f173014,plain,
( ~ para(sK1,sK2,sK6,sK8)
| ~ spl32_243
| spl32_344 ),
inference(forward_literal_rewriting,[],[f173013,f13143]) ).
fof(f173013,plain,
( ~ perp(sK1,sK2,sK1,sK2)
| ~ spl32_243
| spl32_344 ),
inference(subsumption_resolution,[],[f172935,f101930]) ).
fof(f101930,plain,
( ~ para(sK0,sK3,sK6,sK8)
| spl32_344 ),
inference(avatar_component_clause,[],[f101929]) ).
fof(f101929,plain,
( spl32_344
<=> para(sK0,sK3,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).
fof(f172935,plain,
( ~ perp(sK1,sK2,sK1,sK2)
| para(sK0,sK3,sK6,sK8)
| ~ spl32_243 ),
inference(resolution,[],[f50783,f2286]) ).
fof(f50783,plain,
( para(sK0,sK3,sK1,sK2)
| ~ spl32_243 ),
inference(avatar_component_clause,[],[f50782]) ).
fof(f50782,plain,
( spl32_243
<=> para(sK0,sK3,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).
fof(f173003,plain,
( ~ spl32_150
| spl32_239
| ~ spl32_243 ),
inference(avatar_contradiction_clause,[],[f173002]) ).
fof(f173002,plain,
( $false
| ~ spl32_150
| spl32_239
| ~ spl32_243 ),
inference(subsumption_resolution,[],[f173001,f158461]) ).
fof(f173001,plain,
( ~ para(sK0,sK1,sK6,sK8)
| spl32_239
| ~ spl32_243 ),
inference(forward_literal_rewriting,[],[f173000,f13143]) ).
fof(f173000,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| spl32_239
| ~ spl32_243 ),
inference(subsumption_resolution,[],[f172932,f50735]) ).
fof(f50735,plain,
( ~ para(sK0,sK3,sK6,sK9)
| spl32_239 ),
inference(avatar_component_clause,[],[f50734]) ).
fof(f50734,plain,
( spl32_239
<=> para(sK0,sK3,sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).
fof(f172932,plain,
( ~ perp(sK1,sK2,sK0,sK1)
| para(sK0,sK3,sK6,sK9)
| ~ spl32_243 ),
inference(resolution,[],[f50783,f2190]) ).
fof(f172852,plain,
( ~ spl32_150
| spl32_244 ),
inference(avatar_contradiction_clause,[],[f172835]) ).
fof(f172835,plain,
( $false
| ~ spl32_150
| spl32_244 ),
inference(resolution,[],[f170791,f50786]) ).
fof(f50786,plain,
( ~ para(sK0,sK0,sK6,sK8)
| spl32_244 ),
inference(avatar_component_clause,[],[f50785]) ).
fof(f50785,plain,
( spl32_244
<=> para(sK0,sK0,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).
fof(f170791,plain,
( ! [X66] : para(X66,X66,sK6,sK8)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f170790,f14718]) ).
fof(f170790,plain,
( ! [X66] :
( ~ para(sK2,sK2,sK6,sK8)
| para(X66,X66,sK6,sK8) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f170789,f13143]) ).
fof(f170789,plain,
( ! [X66] :
( ~ perp(sK1,sK2,sK2,sK2)
| para(X66,X66,sK6,sK8) )
| ~ spl32_150 ),
inference(forward_literal_rewriting,[],[f170714,f393]) ).
fof(f170714,plain,
( ! [X66] :
( ~ perp(sK2,sK2,sK1,sK2)
| para(X66,X66,sK6,sK8) )
| ~ spl32_150 ),
inference(resolution,[],[f148524,f2286]) ).
fof(f165202,plain,
( ~ spl32_94
| ~ spl32_150
| ~ spl32_221
| ~ spl32_255 ),
inference(avatar_contradiction_clause,[],[f165201]) ).
fof(f165201,plain,
( $false
| ~ spl32_94
| ~ spl32_150
| ~ spl32_221
| ~ spl32_255 ),
inference(subsumption_resolution,[],[f165200,f39674]) ).
fof(f165200,plain,
( ~ para(sK1,sK1,sK6,sK8)
| ~ spl32_94
| ~ spl32_150
| ~ spl32_221
| ~ spl32_255 ),
inference(forward_literal_rewriting,[],[f165188,f121447]) ).
fof(f165188,plain,
( ~ para(sK1,sK2,sK6,sK8)
| ~ spl32_94
| ~ spl32_150
| ~ spl32_255 ),
inference(resolution,[],[f11748,f147307]) ).
fof(f11748,plain,
( ! [X4,X5] :
( ~ midp(X4,sK6,X5)
| ~ para(X4,sK2,X5,sK8) )
| ~ spl32_94 ),
inference(avatar_component_clause,[],[f11747]) ).
fof(f11747,plain,
( spl32_94
<=> ! [X4,X5] :
( ~ para(X4,sK2,X5,sK8)
| ~ midp(X4,sK6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
fof(f159613,plain,
( ~ spl32_515
| spl32_516
| ~ spl32_13 ),
inference(avatar_split_clause,[],[f159185,f1777,f159611,f159608]) ).
fof(f159185,plain,
( cong(sK0,sK5,sK0,sK10)
| ~ midp(sK5,sK5,sK10)
| ~ spl32_13 ),
inference(resolution,[],[f1778,f394]) ).
fof(f394,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.EEb2XjM03D/Vampire---4.8_28259',ruleD55) ).
fof(f158457,plain,
( ~ spl32_150
| spl32_219 ),
inference(avatar_contradiction_clause,[],[f158456]) ).
fof(f158456,plain,
( $false
| ~ spl32_150
| spl32_219 ),
inference(subsumption_resolution,[],[f100017,f158414]) ).
fof(f100017,plain,
( ~ coll(sK0,sK2,sK3)
| spl32_219 ),
inference(forward_literal_rewriting,[],[f100016,f376]) ).
fof(f100016,plain,
( ~ coll(sK0,sK3,sK2)
| spl32_219 ),
inference(forward_literal_rewriting,[],[f100015,f377]) ).
fof(f100015,plain,
( ~ coll(sK3,sK0,sK2)
| spl32_219 ),
inference(subsumption_resolution,[],[f100012,f42632]) ).
fof(f42632,plain,
( ~ para(sK1,sK2,sK6,sK9)
| spl32_219 ),
inference(avatar_component_clause,[],[f42631]) ).
fof(f100012,plain,
( ~ coll(sK3,sK0,sK2)
| para(sK1,sK2,sK6,sK9) ),
inference(resolution,[],[f6472,f360]) ).
fof(f6472,plain,
! [X26,X25] :
( ~ circle(X26,sK0,sK1,X25)
| ~ coll(X26,sK0,X25)
| para(sK1,X25,sK6,sK9) ),
inference(resolution,[],[f2186,f396]) ).
fof(f2186,plain,
! [X2,X3] :
( ~ perp(sK0,sK1,X2,X3)
| para(X2,X3,sK6,sK9) ),
inference(resolution,[],[f918,f393]) ).
fof(f158441,plain,
( spl32_14
| ~ spl32_150 ),
inference(avatar_contradiction_clause,[],[f158440]) ).
fof(f158440,plain,
( $false
| spl32_14
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f158405,f155746]) ).
fof(f158405,plain,
( ~ coll(sK3,sK10,sK1)
| spl32_14
| ~ spl32_150 ),
inference(resolution,[],[f156463,f5935]) ).
fof(f5935,plain,
( ! [X1] :
( ~ coll(sK10,X1,sK0)
| ~ coll(sK3,sK10,X1) )
| spl32_14 ),
inference(forward_literal_rewriting,[],[f5926,f377]) ).
fof(f5926,plain,
( ! [X1] :
( ~ coll(sK10,X1,sK0)
| ~ coll(sK10,sK3,X1) )
| spl32_14 ),
inference(resolution,[],[f1831,f376]) ).
fof(f1831,plain,
( ! [X0] :
( ~ coll(sK10,X0,sK3)
| ~ coll(sK10,X0,sK0) )
| spl32_14 ),
inference(resolution,[],[f1781,f395]) ).
fof(f1781,plain,
( ~ coll(sK0,sK3,sK10)
| spl32_14 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1780,plain,
( spl32_14
<=> coll(sK0,sK3,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f158430,plain,
( spl32_72
| ~ spl32_150 ),
inference(avatar_contradiction_clause,[],[f158429]) ).
fof(f158429,plain,
( $false
| spl32_72
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f158400,f156463]) ).
fof(f158400,plain,
( ~ coll(sK8,sK1,sK2)
| spl32_72
| ~ spl32_150 ),
inference(resolution,[],[f156463,f11755]) ).
fof(f11755,plain,
( ! [X0] :
( ~ coll(sK8,X0,sK6)
| ~ coll(sK8,X0,sK2) )
| spl32_72 ),
inference(resolution,[],[f6248,f395]) ).
fof(f6248,plain,
( ~ coll(sK2,sK6,sK8)
| spl32_72 ),
inference(avatar_component_clause,[],[f6247]) ).
fof(f6247,plain,
( spl32_72
<=> coll(sK2,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f156799,plain,
( spl32_96
| ~ spl32_150 ),
inference(avatar_contradiction_clause,[],[f156763]) ).
fof(f156763,plain,
( $false
| spl32_96
| ~ spl32_150 ),
inference(resolution,[],[f156070,f86305]) ).
fof(f86305,plain,
( ~ coll(sK0,sK6,sK9)
| spl32_96 ),
inference(avatar_component_clause,[],[f12417]) ).
fof(f12417,plain,
( spl32_96
<=> coll(sK0,sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f156070,plain,
( ! [X1] : coll(sK0,X1,sK9)
| ~ spl32_150 ),
inference(resolution,[],[f155744,f377]) ).
fof(f155744,plain,
( ! [X0] : coll(X0,sK0,sK9)
| ~ spl32_150 ),
inference(subsumption_resolution,[],[f155659,f155507]) ).
fof(f155659,plain,
( ! [X0] :
( ~ coll(sK1,sK1,X0)
| coll(X0,sK0,sK9) )
| ~ spl32_150 ),
inference(resolution,[],[f155507,f5504]) ).
fof(f5504,plain,
! [X6,X5] :
( ~ coll(sK1,X6,sK0)
| ~ coll(sK1,X6,X5)
| coll(X5,sK0,sK9) ),
inference(resolution,[],[f1099,f395]) ).
fof(f1099,plain,
! [X1] :
( ~ coll(sK0,X1,sK1)
| coll(X1,sK0,sK9) ),
inference(resolution,[],[f529,f376]) ).
fof(f529,plain,
! [X1] :
( ~ coll(sK0,sK1,X1)
| coll(X1,sK0,sK9) ),
inference(forward_literal_rewriting,[],[f508,f376]) ).
fof(f508,plain,
! [X1] :
( coll(X1,sK9,sK0)
| ~ coll(sK0,sK1,X1) ),
inference(resolution,[],[f488,f395]) ).
fof(f488,plain,
coll(sK0,sK1,sK9),
inference(forward_literal_rewriting,[],[f487,f376]) ).
fof(f487,plain,
coll(sK0,sK9,sK1),
inference(forward_literal_rewriting,[],[f371,f377]) ).
fof(f371,plain,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f135151,plain,
( spl32_195
| ~ spl32_221
| ~ spl32_304 ),
inference(avatar_contradiction_clause,[],[f135150]) ).
fof(f135150,plain,
( $false
| spl32_195
| ~ spl32_221
| ~ spl32_304 ),
inference(subsumption_resolution,[],[f135149,f38631]) ).
fof(f38631,plain,
( ~ midp(sK1,sK1,sK2)
| spl32_195 ),
inference(avatar_component_clause,[],[f38630]) ).
fof(f38630,plain,
( spl32_195
<=> midp(sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).
fof(f135149,plain,
( midp(sK1,sK1,sK2)
| ~ spl32_221
| ~ spl32_304 ),
inference(forward_literal_rewriting,[],[f134764,f39369]) ).
fof(f134764,plain,
( para(sK2,sK1,sK2,sK2)
| ~ spl32_221
| ~ spl32_304 ),
inference(resolution,[],[f134568,f1667]) ).
fof(f1667,plain,
! [X14,X15] :
( ~ midp(sK4,X15,X14)
| para(X14,sK1,X15,sK2) ),
inference(resolution,[],[f725,f373]) ).
fof(f725,plain,
! [X4,X5] :
( ~ midp(sK4,X4,X5)
| para(X4,sK1,X5,sK2) ),
inference(resolution,[],[f503,f420]) ).
fof(f134568,plain,
( midp(sK4,sK2,sK2)
| ~ spl32_221
| ~ spl32_304 ),
inference(subsumption_resolution,[],[f134567,f1662]) ).
fof(f134567,plain,
( ~ para(sK1,sK1,sK2,sK2)
| midp(sK4,sK2,sK2)
| ~ spl32_221
| ~ spl32_304 ),
inference(forward_literal_rewriting,[],[f134566,f121447]) ).
fof(f134566,plain,
( midp(sK4,sK2,sK2)
| ~ para(sK1,sK2,sK2,sK2)
| ~ spl32_221
| ~ spl32_304 ),
inference(subsumption_resolution,[],[f134565,f42658]) ).
fof(f134565,plain,
( ~ para(sK1,sK1,sK1,sK2)
| midp(sK4,sK2,sK2)
| ~ para(sK1,sK2,sK2,sK2)
| ~ spl32_304 ),
inference(forward_literal_rewriting,[],[f134564,f388]) ).
fof(f134564,plain,
( ~ para(sK1,sK1,sK2,sK1)
| midp(sK4,sK2,sK2)
| ~ para(sK1,sK2,sK2,sK2)
| ~ spl32_304 ),
inference(forward_literal_rewriting,[],[f134541,f130005]) ).
fof(f134541,plain,
( midp(sK4,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK1)
| ~ para(sK1,sK2,sK2,sK2)
| ~ spl32_304 ),
inference(resolution,[],[f86176,f2991]) ).
fof(f2991,plain,
! [X31,X28,X29,X26,X27,X30] :
( ~ eqangle(sK1,X27,sK2,X26,X28,X29,X30,X31)
| midp(sK4,X27,X26)
| ~ para(X28,X29,X30,X31)
| ~ para(sK1,X26,sK2,X27) ),
inference(resolution,[],[f729,f480]) ).
fof(f86176,plain,
( eqangle(sK1,sK2,sK2,sK2,sK2,sK2,sK2,sK1)
| ~ spl32_304 ),
inference(avatar_component_clause,[],[f86175]) ).
fof(f86175,plain,
( spl32_304
<=> eqangle(sK1,sK2,sK2,sK2,sK2,sK2,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).
fof(f132169,plain,
( ~ spl32_432
| spl32_216 ),
inference(avatar_split_clause,[],[f14350,f42604,f132167]) ).
fof(f14350,plain,
( para(sK0,sK1,sK1,sK1)
| ~ para(sK0,sK1,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4)) ),
inference(forward_literal_rewriting,[],[f14349,f2176]) ).
fof(f14349,plain,
( ~ para(sK0,sK1,sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4))
| perp(sK1,sK1,sK6,sK9) ),
inference(forward_literal_rewriting,[],[f14327,f389]) ).
fof(f14327,plain,
( ~ para(sK4,sK26(sK1,sK2,sK1,sK2,sK4,sK4),sK0,sK1)
| perp(sK1,sK1,sK6,sK9) ),
inference(resolution,[],[f2161,f3350]) ).
fof(f101957,plain,
( spl32_346
| ~ spl32_344 ),
inference(avatar_split_clause,[],[f14658,f101929,f101955]) ).
fof(f14658,plain,
( ~ para(sK0,sK3,sK6,sK8)
| para(sK0,sK13(sK0,sK6,sK11,sK3),sK1,sK2) ),
inference(forward_literal_rewriting,[],[f14657,f389]) ).
fof(f14657,plain,
( para(sK0,sK13(sK0,sK6,sK11,sK3),sK1,sK2)
| ~ para(sK6,sK8,sK0,sK3) ),
inference(forward_literal_rewriting,[],[f14647,f389]) ).
fof(f14647,plain,
( para(sK1,sK2,sK0,sK13(sK0,sK6,sK11,sK3))
| ~ para(sK6,sK8,sK0,sK3) ),
inference(resolution,[],[f2233,f831]) ).
fof(f831,plain,
perp(sK0,sK3,sK0,sK13(sK0,sK6,sK11,sK3)),
inference(forward_literal_rewriting,[],[f830,f392]) ).
fof(f830,plain,
perp(sK0,sK3,sK13(sK0,sK6,sK11,sK3),sK0),
inference(forward_literal_rewriting,[],[f820,f393]) ).
fof(f820,plain,
perp(sK13(sK0,sK6,sK11,sK3),sK0,sK0,sK3),
inference(resolution,[],[f365,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f217,f325]) ).
fof(f325,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleX11) ).
fof(f365,plain,
circle(sK3,sK0,sK6,sK11),
inference(cnf_transformation,[],[f322]) ).
fof(f2233,plain,
! [X10,X11,X12,X13] :
( ~ perp(X12,X13,X10,X11)
| para(sK1,sK2,X10,X11)
| ~ para(sK6,sK8,X12,X13) ),
inference(resolution,[],[f980,f454]) ).
fof(f101864,plain,
( ~ spl32_339
| spl32_241 ),
inference(avatar_split_clause,[],[f14403,f50757,f101862]) ).
fof(f14403,plain,
( para(sK0,sK1,sK0,sK3)
| ~ para(sK0,sK13(sK0,sK6,sK11,sK3),sK6,sK9) ),
inference(forward_literal_rewriting,[],[f14402,f2176]) ).
fof(f14402,plain,
( ~ para(sK0,sK13(sK0,sK6,sK11,sK3),sK6,sK9)
| perp(sK0,sK3,sK6,sK9) ),
inference(forward_literal_rewriting,[],[f14401,f13104]) ).
fof(f13104,plain,
! [X0,X1] :
( ~ para(X0,X1,sK6,sK9)
| perp(sK0,sK1,X0,X1) ),
inference(resolution,[],[f3197,f440]) ).
fof(f3197,plain,
! [X24,X22,X25,X23] :
( ~ eqangle(X24,X25,X22,X23,sK6,sK9,sK0,sK1)
| perp(X22,X23,X24,X25) ),
inference(resolution,[],[f919,f475]) ).
fof(f919,plain,
! [X8,X6,X9,X7] :
( ~ eqangle(X6,X7,X8,X9,sK0,sK1,sK6,sK9)
| perp(X6,X7,X8,X9) ),
inference(resolution,[],[f490,f481]) ).
fof(f14401,plain,
( ~ perp(sK0,sK1,sK0,sK13(sK0,sK6,sK11,sK3))
| perp(sK0,sK3,sK6,sK9) ),
inference(forward_literal_rewriting,[],[f14378,f393]) ).
fof(f14378,plain,
( ~ perp(sK0,sK13(sK0,sK6,sK11,sK3),sK0,sK1)
| perp(sK0,sK3,sK6,sK9) ),
inference(resolution,[],[f2162,f831]) ).
fof(f2162,plain,
! [X24,X22,X25,X23] :
( ~ perp(X22,X23,X24,X25)
| ~ perp(X24,X25,sK0,sK1)
| perp(X22,X23,sK6,sK9) ),
inference(resolution,[],[f916,f456]) ).
fof(f86306,plain,
( spl32_307
| ~ spl32_96
| spl32_18 ),
inference(avatar_split_clause,[],[f3212,f1987,f12417,f86303]) ).
fof(f3212,plain,
( ! [X4,X5] :
( ~ coll(sK0,sK6,sK9)
| ~ para(X4,sK0,X5,sK9)
| ~ midp(X4,sK6,X5) )
| spl32_18 ),
inference(resolution,[],[f2686,f422]) ).
fof(f2686,plain,
( ~ midp(sK0,sK6,sK9)
| spl32_18 ),
inference(resolution,[],[f2679,f375]) ).
fof(f2679,plain,
( ~ cong(sK0,sK6,sK0,sK9)
| spl32_18 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f86177,plain,
( ~ spl32_303
| spl32_304 ),
inference(avatar_split_clause,[],[f2702,f86175,f86172]) ).
fof(f2702,plain,
( eqangle(sK1,sK2,sK2,sK2,sK2,sK2,sK2,sK1)
| ~ cyclic(sK1,sK1,sK2,sK2) ),
inference(resolution,[],[f1662,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD54) ).
fof(f82795,plain,
( spl32_296
| spl32_194 ),
inference(avatar_split_clause,[],[f2405,f37843,f82793]) ).
fof(f2405,plain,
! [X4,X5] :
( midp(sK0,sK5,sK5)
| ~ para(X4,sK0,X5,sK5)
| ~ midp(X4,sK5,X5) ),
inference(resolution,[],[f1428,f422]) ).
fof(f1428,plain,
coll(sK0,sK5,sK5),
inference(forward_literal_rewriting,[],[f1427,f377]) ).
fof(f1427,plain,
coll(sK5,sK0,sK5),
inference(forward_literal_rewriting,[],[f1411,f376]) ).
fof(f1411,plain,
coll(sK5,sK5,sK0),
inference(resolution,[],[f679,f502]) ).
fof(f502,plain,
coll(sK0,sK4,sK5),
inference(forward_literal_rewriting,[],[f501,f376]) ).
fof(f501,plain,
coll(sK0,sK5,sK4),
inference(forward_literal_rewriting,[],[f363,f377]) ).
fof(f363,plain,
coll(sK5,sK0,sK4),
inference(cnf_transformation,[],[f322]) ).
fof(f679,plain,
! [X0] :
( ~ coll(sK0,sK4,X0)
| coll(sK5,X0,sK0) ),
inference(resolution,[],[f502,f395]) ).
fof(f53960,plain,
( ~ spl32_196
| spl32_255
| ~ spl32_151 ),
inference(avatar_split_clause,[],[f15859,f19851,f53958,f38633]) ).
fof(f38633,plain,
( spl32_196
<=> midp(sK4,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f19851,plain,
( spl32_151
<=> coll(sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).
fof(f15859,plain,
( ~ coll(sK1,sK1,sK2)
| midp(sK2,sK1,sK1)
| ~ midp(sK4,sK2,sK4) ),
inference(forward_literal_rewriting,[],[f15858,f376]) ).
fof(f15858,plain,
( ~ coll(sK1,sK2,sK1)
| midp(sK2,sK1,sK1)
| ~ midp(sK4,sK2,sK4) ),
inference(forward_literal_rewriting,[],[f15854,f377]) ).
fof(f15854,plain,
( ~ coll(sK2,sK1,sK1)
| midp(sK2,sK1,sK1)
| ~ midp(sK4,sK2,sK4) ),
inference(resolution,[],[f2629,f503]) ).
fof(f2629,plain,
! [X10,X8,X9] :
( ~ midp(X10,X9,X8)
| ~ coll(X8,sK1,X9)
| midp(X8,sK1,X9)
| ~ midp(X10,sK2,sK4) ),
inference(resolution,[],[f753,f420]) ).
fof(f753,plain,
! [X10,X11] :
( ~ para(sK2,X11,sK4,X10)
| midp(X10,sK1,X11)
| ~ coll(X10,sK1,X11) ),
inference(forward_literal_rewriting,[],[f728,f389]) ).
fof(f728,plain,
! [X10,X11] :
( midp(X10,sK1,X11)
| ~ coll(X10,sK1,X11)
| ~ para(sK4,X10,sK2,X11) ),
inference(resolution,[],[f503,f422]) ).
fof(f50787,plain,
( spl32_243
| ~ spl32_244
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f40501,f7236,f50785,f50782]) ).
fof(f40501,plain,
( ~ para(sK0,sK0,sK6,sK8)
| para(sK0,sK3,sK1,sK2)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40500,f389]) ).
fof(f40500,plain,
( para(sK0,sK3,sK1,sK2)
| ~ para(sK6,sK8,sK0,sK0)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40396,f389]) ).
fof(f40396,plain,
( para(sK1,sK2,sK0,sK3)
| ~ para(sK6,sK8,sK0,sK0)
| ~ spl32_73 ),
inference(resolution,[],[f7237,f2233]) ).
fof(f50739,plain,
( ~ spl32_239
| spl32_240
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f40494,f7236,f50737,f50734]) ).
fof(f40494,plain,
( para(sK0,sK0,sK0,sK1)
| ~ para(sK0,sK3,sK6,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40493,f389]) ).
fof(f40493,plain,
( para(sK0,sK1,sK0,sK0)
| ~ para(sK0,sK3,sK6,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40492,f2176]) ).
fof(f40492,plain,
( ~ para(sK0,sK3,sK6,sK9)
| perp(sK0,sK0,sK6,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40491,f13104]) ).
fof(f40491,plain,
( ~ perp(sK0,sK1,sK0,sK3)
| perp(sK0,sK0,sK6,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40391,f393]) ).
fof(f40391,plain,
( ~ perp(sK0,sK3,sK0,sK1)
| perp(sK0,sK0,sK6,sK9)
| ~ spl32_73 ),
inference(resolution,[],[f7237,f2162]) ).
fof(f50723,plain,
( ~ spl32_237
| ~ spl32_238
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f40490,f7236,f50721,f50718]) ).
fof(f40490,plain,
( ~ perp(sK0,sK0,sK0,sK5)
| ~ perp(sK0,sK3,sK8,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40489,f392]) ).
fof(f40489,plain,
( ~ perp(sK0,sK0,sK5,sK0)
| ~ perp(sK0,sK3,sK8,sK9)
| ~ spl32_73 ),
inference(forward_literal_rewriting,[],[f40390,f393]) ).
fof(f40390,plain,
( ~ perp(sK0,sK3,sK8,sK9)
| ~ perp(sK5,sK0,sK0,sK0)
| ~ spl32_73 ),
inference(resolution,[],[f7237,f2131]) ).
fof(f2131,plain,
! [X24,X22,X25,X23] :
( ~ perp(X24,X25,X22,X23)
| ~ perp(X22,X23,sK8,sK9)
| ~ perp(sK5,sK0,X24,X25) ),
inference(resolution,[],[f849,f456]) ).
fof(f849,plain,
! [X0,X1] :
( ~ para(sK5,sK0,X0,X1)
| ~ perp(X0,X1,sK8,sK9) ),
inference(resolution,[],[f486,f454]) ).
fof(f486,plain,
~ perp(sK5,sK0,sK8,sK9),
inference(forward_literal_rewriting,[],[f372,f393]) ).
fof(f372,plain,
~ perp(sK8,sK9,sK5,sK0),
inference(cnf_transformation,[],[f322]) ).
fof(f49080,plain,
( ~ spl32_68
| spl32_222 ),
inference(avatar_contradiction_clause,[],[f49079]) ).
fof(f49079,plain,
( $false
| ~ spl32_68
| spl32_222 ),
inference(subsumption_resolution,[],[f49078,f16525]) ).
fof(f16525,plain,
( para(sK2,sK4,sK6,sK8)
| ~ spl32_68 ),
inference(subsumption_resolution,[],[f16524,f6150]) ).
fof(f16524,plain,
( ~ perp(sK1,sK2,sK4,sK4)
| para(sK2,sK4,sK6,sK8)
| ~ spl32_68 ),
inference(forward_literal_rewriting,[],[f16497,f393]) ).
fof(f16497,plain,
( ~ perp(sK4,sK4,sK1,sK2)
| para(sK2,sK4,sK6,sK8)
| ~ spl32_68 ),
inference(resolution,[],[f15953,f2286]) ).
fof(f15953,plain,
( para(sK2,sK4,sK4,sK4)
| ~ spl32_68 ),
inference(resolution,[],[f15864,f752]) ).
fof(f752,plain,
! [X6,X7] :
( ~ midp(X6,sK1,X7)
| para(sK2,X7,sK4,X6) ),
inference(forward_literal_rewriting,[],[f726,f389]) ).
fof(f726,plain,
! [X6,X7] :
( para(sK4,X6,sK2,X7)
| ~ midp(X6,sK1,X7) ),
inference(resolution,[],[f503,f421]) ).
fof(f15864,plain,
( midp(sK4,sK1,sK4)
| ~ spl32_68 ),
inference(subsumption_resolution,[],[f15863,f4782]) ).
fof(f4782,plain,
coll(sK1,sK4,sK4),
inference(forward_literal_rewriting,[],[f4781,f377]) ).
fof(f4781,plain,
coll(sK4,sK1,sK4),
inference(forward_literal_rewriting,[],[f4761,f376]) ).
fof(f4761,plain,
coll(sK4,sK4,sK1),
inference(resolution,[],[f861,f747]) ).
fof(f861,plain,
! [X0] :
( ~ coll(sK1,sK2,X0)
| coll(sK4,X0,sK1) ),
inference(resolution,[],[f747,f395]) ).
fof(f15863,plain,
( ~ coll(sK1,sK4,sK4)
| midp(sK4,sK1,sK4)
| ~ spl32_68 ),
inference(forward_literal_rewriting,[],[f15862,f377]) ).
fof(f15862,plain,
( ~ coll(sK4,sK1,sK4)
| midp(sK4,sK1,sK4)
| ~ spl32_68 ),
inference(subsumption_resolution,[],[f15856,f5687]) ).
fof(f5687,plain,
( midp(sK1,sK2,sK4)
| ~ spl32_68 ),
inference(avatar_component_clause,[],[f5686]) ).
fof(f5686,plain,
( spl32_68
<=> midp(sK1,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f15856,plain,
( ~ coll(sK4,sK1,sK4)
| midp(sK4,sK1,sK4)
| ~ midp(sK1,sK2,sK4) ),
inference(resolution,[],[f2629,f6347]) ).
fof(f6347,plain,
midp(sK1,sK4,sK4),
inference(subsumption_resolution,[],[f6314,f4782]) ).
fof(f6314,plain,
( midp(sK1,sK4,sK4)
| ~ coll(sK1,sK4,sK4) ),
inference(resolution,[],[f6275,f380]) ).
fof(f6275,plain,
cong(sK1,sK4,sK1,sK4),
inference(forward_literal_rewriting,[],[f6274,f390]) ).
fof(f6274,plain,
cong(sK1,sK4,sK4,sK1),
inference(forward_literal_rewriting,[],[f6273,f6128]) ).
fof(f6128,plain,
! [X29,X30] :
( ~ cong(X29,X30,sK2,sK4)
| cong(sK1,sK4,X29,X30) ),
inference(resolution,[],[f1049,f391]) ).
fof(f1049,plain,
! [X6,X7] :
( ~ cong(sK2,sK4,X6,X7)
| cong(sK1,sK4,X6,X7) ),
inference(resolution,[],[f751,f455]) ).
fof(f6273,plain,
cong(sK4,sK1,sK2,sK4),
inference(forward_literal_rewriting,[],[f6262,f390]) ).
fof(f6262,plain,
cong(sK4,sK1,sK4,sK2),
inference(resolution,[],[f2057,f6150]) ).
fof(f2057,plain,
! [X1] :
( ~ perp(sK1,sK2,X1,sK4)
| cong(X1,sK1,X1,sK2) ),
inference(resolution,[],[f722,f393]) ).
fof(f722,plain,
! [X0] :
( ~ perp(X0,sK4,sK1,sK2)
| cong(X0,sK1,X0,sK2) ),
inference(resolution,[],[f503,f394]) ).
fof(f49078,plain,
( ~ para(sK2,sK4,sK6,sK8)
| ~ spl32_68
| spl32_222 ),
inference(forward_literal_rewriting,[],[f49077,f389]) ).
fof(f49077,plain,
( ~ para(sK6,sK8,sK2,sK4)
| ~ spl32_68
| spl32_222 ),
inference(subsumption_resolution,[],[f48946,f42676]) ).
fof(f42676,plain,
( ~ para(sK1,sK2,sK4,sK4)
| spl32_222 ),
inference(avatar_component_clause,[],[f42675]) ).
fof(f42675,plain,
( spl32_222
<=> para(sK1,sK2,sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).
fof(f48946,plain,
( para(sK1,sK2,sK4,sK4)
| ~ para(sK6,sK8,sK2,sK4)
| ~ spl32_68 ),
inference(resolution,[],[f46786,f2233]) ).
fof(f46786,plain,
( perp(sK2,sK4,sK4,sK4)
| ~ spl32_68 ),
inference(resolution,[],[f13496,f10854]) ).
fof(f10854,plain,
( cong(sK1,sK2,sK1,sK4)
| ~ spl32_68 ),
inference(resolution,[],[f5687,f375]) ).
fof(f13496,plain,
( ! [X0] :
( ~ cong(sK1,sK2,sK1,X0)
| perp(sK2,X0,X0,sK4) )
| ~ spl32_68 ),
inference(subsumption_resolution,[],[f6117,f10854]) ).
fof(f6117,plain,
! [X0] :
( perp(sK2,X0,X0,sK4)
| ~ cong(sK1,sK2,sK1,sK4)
| ~ cong(sK1,sK2,sK1,X0) ),
inference(resolution,[],[f863,f398]) ).
fof(f398,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.EEb2XjM03D/Vampire---4.8_28259',ruleD12) ).
fof(f863,plain,
! [X2] :
( ~ circle(sK1,sK2,X2,sK4)
| perp(sK2,X2,X2,sK4) ),
inference(resolution,[],[f747,f396]) ).
fof(f42678,plain,
( ~ spl32_222
| spl32_220 ),
inference(avatar_split_clause,[],[f14568,f42654,f42675]) ).
fof(f42654,plain,
( spl32_220
<=> para(sK1,sK2,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).
fof(f14568,plain,
( para(sK1,sK2,sK2,sK2)
| ~ para(sK1,sK2,sK4,sK4) ),
inference(forward_literal_rewriting,[],[f14567,f2229]) ).
fof(f14567,plain,
( ~ para(sK1,sK2,sK4,sK4)
| perp(sK2,sK2,sK6,sK8) ),
inference(forward_literal_rewriting,[],[f14542,f389]) ).
fof(f14542,plain,
( ~ para(sK4,sK4,sK1,sK2)
| perp(sK2,sK2,sK6,sK8) ),
inference(resolution,[],[f2214,f1684]) ).
fof(f42659,plain,
( ~ spl32_220
| spl32_221 ),
inference(avatar_split_clause,[],[f14563,f42657,f42654]) ).
fof(f14563,plain,
( para(sK1,sK1,sK1,sK2)
| ~ para(sK1,sK2,sK2,sK2) ),
inference(forward_literal_rewriting,[],[f14562,f389]) ).
fof(f14562,plain,
( para(sK1,sK2,sK1,sK1)
| ~ para(sK1,sK2,sK2,sK2) ),
inference(forward_literal_rewriting,[],[f14561,f2229]) ).
fof(f14561,plain,
( ~ para(sK1,sK2,sK2,sK2)
| perp(sK1,sK1,sK6,sK8) ),
inference(forward_literal_rewriting,[],[f14539,f389]) ).
fof(f14539,plain,
( ~ para(sK2,sK2,sK1,sK2)
| perp(sK1,sK1,sK6,sK8) ),
inference(resolution,[],[f2214,f1662]) ).
fof(f42312,plain,
( spl32_73
| ~ spl32_74 ),
inference(avatar_split_clause,[],[f12883,f7239,f7236]) ).
fof(f7239,plain,
( spl32_74
<=> cyclic(sK0,sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
fof(f12883,plain,
( ~ cyclic(sK0,sK0,sK1,sK2)
| perp(sK0,sK0,sK0,sK3) ),
inference(forward_literal_rewriting,[],[f12882,f386]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD15) ).
fof(f12882,plain,
( ~ cyclic(sK0,sK1,sK0,sK2)
| perp(sK0,sK0,sK0,sK3) ),
inference(forward_literal_rewriting,[],[f12875,f384]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD16) ).
fof(f12875,plain,
( perp(sK0,sK0,sK0,sK3)
| ~ cyclic(sK1,sK0,sK0,sK2) ),
inference(resolution,[],[f3063,f387]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD41) ).
fof(f3063,plain,
! [X10] :
( ~ eqangle(sK0,sK1,sK0,X10,sK2,sK1,sK2,sK0)
| perp(sK0,X10,sK0,sK3) ),
inference(resolution,[],[f785,f475]) ).
fof(f785,plain,
! [X3] :
( ~ eqangle(sK0,X3,sK0,sK1,sK2,sK0,sK2,sK1)
| perp(sK0,X3,sK0,sK3) ),
inference(forward_literal_rewriting,[],[f784,f392]) ).
fof(f784,plain,
! [X3] :
( perp(sK0,X3,sK3,sK0)
| ~ eqangle(sK0,X3,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(forward_literal_rewriting,[],[f773,f393]) ).
fof(f773,plain,
! [X3] :
( perp(sK3,sK0,sK0,X3)
| ~ eqangle(sK0,X3,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(resolution,[],[f360,f427]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD49) ).
fof(f40326,plain,
spl32_74,
inference(avatar_contradiction_clause,[],[f40325]) ).
fof(f40325,plain,
( $false
| spl32_74 ),
inference(subsumption_resolution,[],[f40324,f6451]) ).
fof(f6451,plain,
para(sK0,sK1,sK0,sK1),
inference(resolution,[],[f2176,f490]) ).
fof(f40324,plain,
( ~ para(sK0,sK1,sK0,sK1)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f40323,f388]) ).
fof(f40323,plain,
( ~ para(sK0,sK1,sK1,sK0)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f40319,f440]) ).
fof(f40319,plain,
( ~ eqangle(sK0,sK1,sK2,sK0,sK1,sK0,sK2,sK0)
| spl32_74 ),
inference(resolution,[],[f7257,f478]) ).
fof(f7257,plain,
( ~ eqangle(sK0,sK1,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(subsumption_resolution,[],[f7256,f7253]) ).
fof(f7253,plain,
( ~ eqangle(sK0,sK1,sK1,sK0,sK2,sK0,sK2,sK0)
| coll(sK0,sK1,sK2)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7252,f476]) ).
fof(f7252,plain,
( coll(sK0,sK1,sK2)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7251,f377]) ).
fof(f7251,plain,
( coll(sK1,sK0,sK2)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7245,f376]) ).
fof(f7245,plain,
( coll(sK1,sK2,sK0)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(resolution,[],[f7240,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259',ruleD42a) ).
fof(f7240,plain,
( ~ cyclic(sK0,sK0,sK1,sK2)
| spl32_74 ),
inference(avatar_component_clause,[],[f7239]) ).
fof(f7256,plain,
( ~ eqangle(sK0,sK1,sK1,sK0,sK2,sK0,sK2,sK0)
| ~ coll(sK0,sK1,sK2)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7255,f476]) ).
fof(f7255,plain,
( ~ coll(sK0,sK1,sK2)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7254,f377]) ).
fof(f7254,plain,
( ~ coll(sK1,sK0,sK2)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(forward_literal_rewriting,[],[f7246,f376]) ).
fof(f7246,plain,
( ~ coll(sK1,sK2,sK0)
| ~ eqangle(sK1,sK0,sK1,sK0,sK2,sK0,sK2,sK0)
| spl32_74 ),
inference(resolution,[],[f7240,f403]) ).
fof(f38635,plain,
( ~ spl32_195
| spl32_196
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f16730,f5686,f38633,f38630]) ).
fof(f16730,plain,
( midp(sK4,sK2,sK4)
| ~ midp(sK1,sK1,sK2)
| ~ spl32_68 ),
inference(subsumption_resolution,[],[f16726,f727]) ).
fof(f16726,plain,
( midp(sK4,sK2,sK4)
| ~ para(sK1,sK4,sK2,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ spl32_68 ),
inference(resolution,[],[f2986,f5687]) ).
fof(f2986,plain,
! [X10,X8,X9] :
( ~ midp(X10,X9,X8)
| midp(sK4,X9,X8)
| ~ para(sK1,X8,sK2,X9)
| ~ midp(X10,sK1,sK2) ),
inference(resolution,[],[f729,f420]) ).
fof(f21765,plain,
spl32_151,
inference(avatar_contradiction_clause,[],[f21743]) ).
fof(f21743,plain,
( $false
| spl32_151 ),
inference(resolution,[],[f20574,f5838]) ).
fof(f20574,plain,
( ! [X1] : ~ coll(sK1,sK2,X1)
| spl32_151 ),
inference(forward_literal_rewriting,[],[f20565,f377]) ).
fof(f20565,plain,
( ! [X1] : ~ coll(sK2,sK1,X1)
| spl32_151 ),
inference(resolution,[],[f19864,f376]) ).
fof(f19864,plain,
( ! [X0] : ~ coll(sK2,X0,sK1)
| spl32_151 ),
inference(duplicate_literal_removal,[],[f19859]) ).
fof(f19859,plain,
( ! [X0] :
( ~ coll(sK2,X0,sK1)
| ~ coll(sK2,X0,sK1) )
| spl32_151 ),
inference(resolution,[],[f19852,f395]) ).
fof(f19852,plain,
( ~ coll(sK1,sK1,sK2)
| spl32_151 ),
inference(avatar_component_clause,[],[f19851]) ).
fof(f19853,plain,
( spl32_150
| ~ spl32_151
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f4700,f11347,f19851,f19848]) ).
fof(f11347,plain,
( spl32_85
<=> coll(sK1,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f4700,plain,
! [X47] :
( ~ coll(sK1,sK2,sK2)
| ~ coll(sK1,sK1,sK2)
| midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X47),sK1,X47) ),
inference(forward_literal_rewriting,[],[f4694,f377]) ).
fof(f4694,plain,
! [X47] :
( ~ coll(sK2,sK1,sK2)
| ~ coll(sK1,sK1,sK2)
| midp(sK30(sK1,sK2,sK1,sK2,sK4,sK4,X47),sK1,X47) ),
inference(resolution,[],[f741,f503]) ).
fof(f741,plain,
! [X46,X47,X44,X45] :
( ~ midp(X46,X44,X45)
| ~ coll(X45,sK1,sK2)
| ~ coll(X44,sK1,sK2)
| midp(sK30(sK1,sK2,X44,X45,sK4,X46,X47),sK1,X47) ),
inference(resolution,[],[f503,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( midp(sK30(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(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( midp(sK30(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,[sK30])],[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(sK30(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.EEb2XjM03D/Vampire---4.8_28259',ruleX7) ).
fof(f11749,plain,
( spl32_94
| ~ spl32_72
| spl32_19 ),
inference(avatar_split_clause,[],[f2047,f1997,f6247,f11747]) ).
fof(f1997,plain,
( spl32_19
<=> midp(sK2,sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f2047,plain,
( ! [X4,X5] :
( ~ coll(sK2,sK6,sK8)
| ~ para(X4,sK2,X5,sK8)
| ~ midp(X4,sK6,X5) )
| spl32_19 ),
inference(resolution,[],[f1998,f422]) ).
fof(f1998,plain,
( ~ midp(sK2,sK6,sK8)
| spl32_19 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f11354,plain,
spl32_85,
inference(avatar_contradiction_clause,[],[f11353]) ).
fof(f11353,plain,
( $false
| spl32_85 ),
inference(subsumption_resolution,[],[f11348,f5838]) ).
fof(f11348,plain,
( ~ coll(sK1,sK2,sK2)
| spl32_85 ),
inference(avatar_component_clause,[],[f11347]) ).
fof(f5688,plain,
( ~ spl32_67
| spl32_68 ),
inference(avatar_split_clause,[],[f860,f5686,f5683]) ).
fof(f860,plain,
( midp(sK1,sK2,sK4)
| ~ cong(sK1,sK2,sK1,sK4) ),
inference(resolution,[],[f747,f380]) ).
fof(f2329,plain,
( spl32_25
| ~ spl32_26 ),
inference(avatar_split_clause,[],[f1044,f2327,f2324]) ).
fof(f1044,plain,
( ~ perp(sK0,sK1,sK0,sK6)
| perp(sK0,sK2,sK0,sK4) ),
inference(forward_literal_rewriting,[],[f1043,f392]) ).
fof(f1043,plain,
( ~ perp(sK0,sK1,sK6,sK0)
| perp(sK0,sK2,sK0,sK4) ),
inference(forward_literal_rewriting,[],[f1032,f393]) ).
fof(f1032,plain,
( perp(sK0,sK2,sK0,sK4)
| ~ perp(sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f500,f481]) ).
fof(f2309,plain,
( spl32_23
| ~ spl32_24 ),
inference(avatar_split_clause,[],[f1042,f2307,f2304]) ).
fof(f1042,plain,
( ~ para(sK0,sK1,sK0,sK6)
| para(sK0,sK2,sK0,sK4) ),
inference(forward_literal_rewriting,[],[f1041,f388]) ).
fof(f1041,plain,
( ~ para(sK0,sK1,sK6,sK0)
| para(sK0,sK2,sK0,sK4) ),
inference(forward_literal_rewriting,[],[f1031,f389]) ).
fof(f1031,plain,
( para(sK0,sK2,sK0,sK4)
| ~ para(sK6,sK0,sK0,sK1) ),
inference(resolution,[],[f500,f480]) ).
fof(f2002,plain,
( ~ spl32_19
| spl32_20 ),
inference(avatar_split_clause,[],[f966,f2000,f1997]) ).
fof(f966,plain,
( cong(sK1,sK6,sK1,sK8)
| ~ midp(sK2,sK6,sK8) ),
inference(resolution,[],[f494,f394]) ).
fof(f1782,plain,
( spl32_13
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f804,f1780,f1777]) ).
fof(f804,plain,
( ~ coll(sK0,sK3,sK10)
| perp(sK0,sK5,sK5,sK10) ),
inference(forward_literal_rewriting,[],[f794,f377]) ).
fof(f794,plain,
( perp(sK0,sK5,sK5,sK10)
| ~ coll(sK3,sK0,sK10) ),
inference(resolution,[],[f362,f396]) ).
fof(f362,plain,
circle(sK3,sK0,sK5,sK10),
inference(cnf_transformation,[],[f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 21:43:12 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.EEb2XjM03D/Vampire---4.8_28259
% 0.15/0.38 % (28373)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (28377)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.44 % (28378)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)
% 0.22/0.44 % (28379)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44 % (28380)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)
% 0.22/0.44 % (28376)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)
% 0.22/0.44 % (28382)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44 % (28381)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)
% 238.14/34.64 % (28380)First to succeed.
% 238.46/34.67 % (28380)Refutation found. Thanks to Tanya!
% 238.46/34.67 % SZS status Theorem for Vampire---4
% 238.46/34.67 % SZS output start Proof for Vampire---4
% See solution above
% 238.46/34.68 % (28380)------------------------------
% 238.46/34.68 % (28380)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 238.46/34.68 % (28380)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 238.46/34.68 % (28380)Termination reason: Refutation
% 238.46/34.68
% 238.46/34.68 % (28380)Memory used [KB]: 374194
% 238.46/34.68 % (28380)Time elapsed: 34.217 s
% 238.46/34.68 % (28380)------------------------------
% 238.46/34.68 % (28380)------------------------------
% 238.46/34.68 % (28373)Success in time 34.075 s
% 238.46/34.68 % Vampire---4.8 exiting
%------------------------------------------------------------------------------