TSTP Solution File: GEO640+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO640+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 : n008.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 23:36:53 EDT 2023
% Result : Theorem 98.49s 14.63s
% Output : Refutation 98.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 220 ( 4 unt; 0 def)
% Number of atoms : 715 ( 0 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 741 ( 246 ~; 240 |; 205 &)
% ( 15 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 16 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-4 aty)
% Number of variables : 737 (; 643 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65390,plain,
$false,
inference(avatar_sat_refutation,[],[f3140,f3487,f7564,f12685,f12774,f14337,f14424,f15612,f15725,f16386,f17077,f18330,f62410,f65021,f65281,f65384]) ).
fof(f65384,plain,
( ~ spl50_59
| ~ spl50_89
| spl50_210
| ~ spl50_228 ),
inference(avatar_contradiction_clause,[],[f65383]) ).
fof(f65383,plain,
( $false
| ~ spl50_59
| ~ spl50_89
| spl50_210
| ~ spl50_228 ),
inference(subsumption_resolution,[],[f65331,f19915]) ).
fof(f19915,plain,
( ! [X0,X1] : ~ para(X0,X1,sK16,sK17)
| ~ spl50_59
| spl50_210 ),
inference(resolution,[],[f19846,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD5) ).
fof(f19846,plain,
( ! [X4,X5] : ~ para(sK16,sK17,X4,X5)
| ~ spl50_59
| spl50_210 ),
inference(subsumption_resolution,[],[f19844,f401]) ).
fof(f19844,plain,
( ! [X4,X5] :
( ~ para(X4,X5,sK16,sK17)
| ~ para(sK16,sK17,X4,X5) )
| ~ spl50_59
| spl50_210 ),
inference(resolution,[],[f19683,f466]) ).
fof(f466,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD6) ).
fof(f19683,plain,
( ~ para(sK16,sK17,sK16,sK17)
| ~ spl50_59
| spl50_210 ),
inference(subsumption_resolution,[],[f19622,f3839]) ).
fof(f3839,plain,
( coll(sK16,sK16,sK18)
| ~ spl50_59 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3838,plain,
( spl50_59
<=> coll(sK16,sK16,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_59])]) ).
fof(f19622,plain,
( ~ coll(sK16,sK16,sK18)
| ~ para(sK16,sK17,sK16,sK17)
| spl50_210 ),
inference(resolution,[],[f15724,f540]) ).
fof(f540,plain,
! [X10,X11,X12] :
( cyclic(X10,X10,X11,X12)
| ~ coll(X10,X10,X12)
| ~ para(X10,X11,X10,X11) ),
inference(resolution,[],[f526,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD15) ).
fof(f526,plain,
! [X14,X15,X13] :
( cyclic(X13,X15,X13,X14)
| ~ para(X13,X15,X13,X15)
| ~ coll(X13,X13,X14) ),
inference(resolution,[],[f514,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD16) ).
fof(f514,plain,
! [X8,X9,X7] :
( cyclic(X8,X7,X7,X9)
| ~ coll(X7,X7,X9)
| ~ para(X7,X8,X7,X8) ),
inference(resolution,[],[f510,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD14) ).
fof(f510,plain,
! [X10,X11,X12] :
( cyclic(X12,X10,X11,X10)
| ~ para(X10,X12,X10,X12)
| ~ coll(X10,X10,X11) ),
inference(resolution,[],[f501,f398]) ).
fof(f501,plain,
! [X3,X4,X5] :
( cyclic(X5,X4,X3,X3)
| ~ coll(X3,X3,X4)
| ~ para(X3,X5,X3,X5) ),
inference(resolution,[],[f416,f453]) ).
fof(f453,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD40) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD42b) ).
fof(f15724,plain,
( ~ cyclic(sK16,sK16,sK17,sK18)
| spl50_210 ),
inference(avatar_component_clause,[],[f15722]) ).
fof(f15722,plain,
( spl50_210
<=> cyclic(sK16,sK16,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_210])]) ).
fof(f65331,plain,
( para(sK17,sK16,sK16,sK17)
| ~ spl50_89
| ~ spl50_228 ),
inference(resolution,[],[f16389,f7563]) ).
fof(f7563,plain,
( ! [X18,X16,X14,X17,X15,X13] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X17,X18)
| para(X13,X14,X15,X16) )
| ~ spl50_89 ),
inference(avatar_component_clause,[],[f7562]) ).
fof(f7562,plain,
( spl50_89
<=> ! [X18,X13,X14,X16,X17,X15] :
( para(X13,X14,X15,X16)
| ~ eqangle(X13,X14,X15,X16,X17,X18,X17,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_89])]) ).
fof(f16389,plain,
( eqangle(sK17,sK16,sK16,sK17,sK18,sK17,sK18,sK17)
| ~ spl50_228 ),
inference(avatar_component_clause,[],[f16388]) ).
fof(f16388,plain,
( spl50_228
<=> eqangle(sK17,sK16,sK16,sK17,sK18,sK17,sK18,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_228])]) ).
fof(f65281,plain,
( ~ spl50_190
| spl50_228 ),
inference(avatar_contradiction_clause,[],[f65280]) ).
fof(f65280,plain,
( $false
| ~ spl50_190
| spl50_228 ),
inference(subsumption_resolution,[],[f65276,f22633]) ).
fof(f22633,plain,
( ~ eqangle(sK16,sK17,sK16,sK17,sK18,sK17,sK18,sK17)
| spl50_228 ),
inference(resolution,[],[f16390,f490]) ).
fof(f490,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,[],[f305]) ).
fof(f305,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,[],[f159]) ).
fof(f159,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD18) ).
fof(f16390,plain,
( ~ eqangle(sK17,sK16,sK16,sK17,sK18,sK17,sK18,sK17)
| spl50_228 ),
inference(avatar_component_clause,[],[f16388]) ).
fof(f65276,plain,
( eqangle(sK16,sK17,sK16,sK17,sK18,sK17,sK18,sK17)
| ~ spl50_190 ),
inference(resolution,[],[f65122,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD41) ).
fof(f65122,plain,
( cyclic(sK17,sK17,sK16,sK18)
| ~ spl50_190 ),
inference(resolution,[],[f14415,f398]) ).
fof(f14415,plain,
( cyclic(sK17,sK16,sK17,sK18)
| ~ spl50_190 ),
inference(avatar_component_clause,[],[f14414]) ).
fof(f14414,plain,
( spl50_190
<=> cyclic(sK17,sK16,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_190])]) ).
fof(f65021,plain,
( spl50_88
| spl50_209 ),
inference(avatar_split_clause,[],[f65010,f15718,f7559]) ).
fof(f7559,plain,
( spl50_88
<=> ! [X20,X19] : ~ para(X19,X20,X19,X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_88])]) ).
fof(f15718,plain,
( spl50_209
<=> para(sK17,sK16,sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_209])]) ).
fof(f65010,plain,
( ! [X2,X1] : ~ para(X1,X2,X1,X2)
| spl50_209 ),
inference(resolution,[],[f23530,f453]) ).
fof(f23530,plain,
( ! [X14,X13] : ~ eqangle(X13,X14,sK17,sK16,X13,X14,sK17,sK16)
| spl50_209 ),
inference(resolution,[],[f19614,f488]) ).
fof(f488,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD19) ).
fof(f19614,plain,
( ! [X2,X3] : ~ eqangle(sK17,sK16,X2,X3,sK17,sK16,X2,X3)
| spl50_209 ),
inference(resolution,[],[f15720,f463]) ).
fof(f463,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD39) ).
fof(f15720,plain,
( ~ para(sK17,sK16,sK17,sK16)
| spl50_209 ),
inference(avatar_component_clause,[],[f15718]) ).
fof(f62410,plain,
( spl50_88
| spl50_36 ),
inference(avatar_split_clause,[],[f62399,f2883,f7559]) ).
fof(f2883,plain,
( spl50_36
<=> coll(sK16,sK16,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_36])]) ).
fof(f62399,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| spl50_36 ),
inference(resolution,[],[f23309,f453]) ).
fof(f23309,plain,
( ! [X18,X19,X20] : ~ eqangle(X18,X19,sK19,X20,X18,X19,sK19,sK16)
| spl50_36 ),
inference(resolution,[],[f17229,f488]) ).
fof(f17229,plain,
( ! [X8,X6,X7] : ~ eqangle(sK19,X6,X7,X8,sK19,sK16,X7,X8)
| spl50_36 ),
inference(resolution,[],[f16804,f463]) ).
fof(f16804,plain,
( ! [X3] : ~ para(sK19,X3,sK19,sK16)
| spl50_36 ),
inference(resolution,[],[f16790,f391]) ).
fof(f391,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD66) ).
fof(f16790,plain,
( ! [X0] : ~ coll(sK19,X0,sK16)
| spl50_36 ),
inference(duplicate_literal_removal,[],[f16788]) ).
fof(f16788,plain,
( ! [X0] :
( ~ coll(sK19,X0,sK16)
| ~ coll(sK19,X0,sK16) )
| spl50_36 ),
inference(resolution,[],[f2885,f408]) ).
fof(f408,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD3) ).
fof(f2885,plain,
( ~ coll(sK16,sK16,sK19)
| spl50_36 ),
inference(avatar_component_clause,[],[f2883]) ).
fof(f18330,plain,
( spl50_190
| ~ spl50_209
| ~ spl50_231 ),
inference(avatar_contradiction_clause,[],[f18329]) ).
fof(f18329,plain,
( $false
| spl50_190
| ~ spl50_209
| ~ spl50_231 ),
inference(subsumption_resolution,[],[f18322,f16402]) ).
fof(f16402,plain,
( coll(sK17,sK18,sK17)
| ~ spl50_231 ),
inference(avatar_component_clause,[],[f16401]) ).
fof(f16401,plain,
( spl50_231
<=> coll(sK17,sK18,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_231])]) ).
fof(f18322,plain,
( ~ coll(sK17,sK18,sK17)
| spl50_190
| ~ spl50_209 ),
inference(resolution,[],[f18302,f389]) ).
fof(f389,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD1) ).
fof(f18302,plain,
( ~ coll(sK17,sK17,sK18)
| spl50_190
| ~ spl50_209 ),
inference(subsumption_resolution,[],[f18244,f15719]) ).
fof(f15719,plain,
( para(sK17,sK16,sK17,sK16)
| ~ spl50_209 ),
inference(avatar_component_clause,[],[f15718]) ).
fof(f18244,plain,
( ~ para(sK17,sK16,sK17,sK16)
| ~ coll(sK17,sK17,sK18)
| spl50_190 ),
inference(resolution,[],[f14416,f526]) ).
fof(f14416,plain,
( ~ cyclic(sK17,sK16,sK17,sK18)
| spl50_190 ),
inference(avatar_component_clause,[],[f14414]) ).
fof(f17077,plain,
( ~ spl50_199
| spl50_231 ),
inference(avatar_contradiction_clause,[],[f17074]) ).
fof(f17074,plain,
( $false
| ~ spl50_199
| spl50_231 ),
inference(resolution,[],[f14641,f17005]) ).
fof(f17005,plain,
( ! [X2] : ~ coll(X2,sK18,sK17)
| spl50_231 ),
inference(resolution,[],[f16909,f390]) ).
fof(f390,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD2) ).
fof(f16909,plain,
( ! [X0] : ~ coll(sK18,X0,sK17)
| spl50_231 ),
inference(duplicate_literal_removal,[],[f16907]) ).
fof(f16907,plain,
( ! [X0] :
( ~ coll(sK18,X0,sK17)
| ~ coll(sK18,X0,sK17) )
| spl50_231 ),
inference(resolution,[],[f16728,f408]) ).
fof(f16728,plain,
( ~ coll(sK17,sK17,sK18)
| spl50_231 ),
inference(resolution,[],[f16403,f389]) ).
fof(f16403,plain,
( ~ coll(sK17,sK18,sK17)
| spl50_231 ),
inference(avatar_component_clause,[],[f16401]) ).
fof(f14641,plain,
( coll(sK18,sK18,sK17)
| ~ spl50_199 ),
inference(avatar_component_clause,[],[f14640]) ).
fof(f14640,plain,
( spl50_199
<=> coll(sK18,sK18,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_199])]) ).
fof(f16386,plain,
( ~ spl50_30
| ~ spl50_59
| spl50_199 ),
inference(avatar_contradiction_clause,[],[f16385]) ).
fof(f16385,plain,
( $false
| ~ spl50_30
| ~ spl50_59
| spl50_199 ),
inference(subsumption_resolution,[],[f16371,f2839]) ).
fof(f2839,plain,
( coll(sK16,sK16,sK17)
| ~ spl50_30 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f2838,plain,
( spl50_30
<=> coll(sK16,sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f16371,plain,
( ~ coll(sK16,sK16,sK17)
| ~ spl50_59
| spl50_199 ),
inference(resolution,[],[f14771,f3839]) ).
fof(f14771,plain,
( ! [X6,X5] :
( ~ coll(X5,X6,sK18)
| ~ coll(X5,X6,sK17) )
| spl50_199 ),
inference(resolution,[],[f14722,f408]) ).
fof(f14722,plain,
( ! [X1] : ~ coll(sK17,sK18,X1)
| spl50_199 ),
inference(resolution,[],[f14690,f389]) ).
fof(f14690,plain,
( ! [X0] : ~ coll(sK17,X0,sK18)
| spl50_199 ),
inference(duplicate_literal_removal,[],[f14688]) ).
fof(f14688,plain,
( ! [X0] :
( ~ coll(sK17,X0,sK18)
| ~ coll(sK17,X0,sK18) )
| spl50_199 ),
inference(resolution,[],[f14642,f408]) ).
fof(f14642,plain,
( ~ coll(sK18,sK18,sK17)
| spl50_199 ),
inference(avatar_component_clause,[],[f14640]) ).
fof(f15725,plain,
( ~ spl50_209
| ~ spl50_210
| ~ spl50_192 ),
inference(avatar_split_clause,[],[f15711,f14422,f15722,f15718]) ).
fof(f14422,plain,
( spl50_192
<=> ! [X0] :
( ~ eqangle(sK17,X0,sK19,X0,sK17,sK16,sK19,sK16)
| ~ cyclic(X0,sK16,sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_192])]) ).
fof(f15711,plain,
( ~ cyclic(sK16,sK16,sK17,sK18)
| ~ para(sK17,sK16,sK17,sK16)
| ~ spl50_192 ),
inference(resolution,[],[f14423,f453]) ).
fof(f14423,plain,
( ! [X0] :
( ~ eqangle(sK17,X0,sK19,X0,sK17,sK16,sK19,sK16)
| ~ cyclic(X0,sK16,sK17,sK18) )
| ~ spl50_192 ),
inference(avatar_component_clause,[],[f14422]) ).
fof(f15612,plain,
( ~ spl50_30
| ~ spl50_36
| spl50_187 ),
inference(avatar_contradiction_clause,[],[f15611]) ).
fof(f15611,plain,
( $false
| ~ spl50_30
| ~ spl50_36
| spl50_187 ),
inference(subsumption_resolution,[],[f15603,f2884]) ).
fof(f2884,plain,
( coll(sK16,sK16,sK19)
| ~ spl50_36 ),
inference(avatar_component_clause,[],[f2883]) ).
fof(f15603,plain,
( ~ coll(sK16,sK16,sK19)
| ~ spl50_30
| spl50_187 ),
inference(resolution,[],[f14443,f2839]) ).
fof(f14443,plain,
( ! [X0] :
( ~ coll(sK16,X0,sK17)
| ~ coll(sK16,X0,sK19) )
| spl50_187 ),
inference(resolution,[],[f14402,f408]) ).
fof(f14402,plain,
( ~ coll(sK17,sK19,sK16)
| spl50_187 ),
inference(avatar_component_clause,[],[f14400]) ).
fof(f14400,plain,
( spl50_187
<=> coll(sK17,sK19,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_187])]) ).
fof(f14424,plain,
( ~ spl50_187
| spl50_192 ),
inference(avatar_split_clause,[],[f6883,f14422,f14400]) ).
fof(f6883,plain,
! [X0] :
( ~ eqangle(sK17,X0,sK19,X0,sK17,sK16,sK19,sK16)
| ~ coll(sK17,sK19,sK16)
| ~ cyclic(X0,sK16,sK17,sK18) ),
inference(resolution,[],[f2086,f385]) ).
fof(f385,plain,
~ cyclic(sK16,sK17,sK18,sK19),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ cyclic(sK16,sK17,sK18,sK19)
& circle(sK14,sK1,sK19,sK29)
& circle(sK13,sK4,sK19,sK28)
& circle(sK13,sK4,sK18,sK27)
& circle(sK12,sK2,sK18,sK26)
& circle(sK12,sK2,sK17,sK25)
& circle(sK11,sK0,sK17,sK24)
& circle(sK11,sK0,sK16,sK23)
& circle(sK10,sK3,sK16,sK22)
& circle(sK14,sK1,sK15,sK21)
& circle(sK10,sK3,sK15,sK20)
& circle(sK14,sK6,sK1,sK5)
& circle(sK13,sK6,sK7,sK4)
& circle(sK12,sK8,sK7,sK2)
& circle(sK11,sK9,sK8,sK0)
& circle(sK10,sK3,sK5,sK9)
& coll(sK9,sK2,sK3)
& coll(sK9,sK0,sK1)
& coll(sK8,sK0,sK4)
& coll(sK8,sK2,sK3)
& coll(sK7,sK0,sK4)
& coll(sK7,sK1,sK2)
& coll(sK6,sK3,sK4)
& coll(sK6,sK1,sK2)
& coll(sK5,sK3,sK4)
& coll(sK5,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[f169,f321]) ).
fof(f321,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> ( ~ cyclic(sK16,sK17,sK18,sK19)
& circle(sK14,sK1,sK19,sK29)
& circle(sK13,sK4,sK19,sK28)
& circle(sK13,sK4,sK18,sK27)
& circle(sK12,sK2,sK18,sK26)
& circle(sK12,sK2,sK17,sK25)
& circle(sK11,sK0,sK17,sK24)
& circle(sK11,sK0,sK16,sK23)
& circle(sK10,sK3,sK16,sK22)
& circle(sK14,sK1,sK15,sK21)
& circle(sK10,sK3,sK15,sK20)
& circle(sK14,sK6,sK1,sK5)
& circle(sK13,sK6,sK7,sK4)
& circle(sK12,sK8,sK7,sK2)
& circle(sK11,sK9,sK8,sK0)
& circle(sK10,sK3,sK5,sK9)
& coll(sK9,sK2,sK3)
& coll(sK9,sK0,sK1)
& coll(sK8,sK0,sK4)
& coll(sK8,sK2,sK3)
& coll(sK7,sK0,sK4)
& coll(sK7,sK1,sK2)
& coll(sK6,sK3,sK4)
& coll(sK6,sK1,sK2)
& coll(sK5,sK3,sK4)
& coll(sK5,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> cyclic(X16,X17,X18,X19) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
( ( circle(X32,X19,X37,X47)
& circle(X31,X22,X37,X46)
& circle(X31,X22,X36,X45)
& circle(X30,X20,X36,X44)
& circle(X30,X20,X35,X43)
& circle(X29,X18,X35,X42)
& circle(X29,X18,X34,X41)
& circle(X28,X21,X34,X40)
& circle(X32,X19,X33,X39)
& circle(X28,X21,X33,X38)
& circle(X32,X24,X19,X23)
& circle(X31,X24,X25,X22)
& circle(X30,X26,X25,X20)
& circle(X29,X27,X26,X18)
& circle(X28,X21,X23,X27)
& coll(X27,X20,X21)
& coll(X27,X18,X19)
& coll(X26,X18,X22)
& coll(X26,X20,X21)
& coll(X25,X18,X22)
& coll(X25,X19,X20)
& coll(X24,X21,X22)
& coll(X24,X19,X20)
& coll(X23,X21,X22)
& coll(X23,X18,X19) )
=> cyclic(X34,X35,X36,X37) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
( ( circle(X32,X19,X37,X47)
& circle(X31,X22,X37,X46)
& circle(X31,X22,X36,X45)
& circle(X30,X20,X36,X44)
& circle(X30,X20,X35,X43)
& circle(X29,X18,X35,X42)
& circle(X29,X18,X34,X41)
& circle(X28,X21,X34,X40)
& circle(X32,X19,X33,X39)
& circle(X28,X21,X33,X38)
& circle(X32,X24,X19,X23)
& circle(X31,X24,X25,X22)
& circle(X30,X26,X25,X20)
& circle(X29,X27,X26,X18)
& circle(X28,X21,X23,X27)
& coll(X27,X20,X21)
& coll(X27,X18,X19)
& coll(X26,X18,X22)
& coll(X26,X20,X21)
& coll(X25,X18,X22)
& coll(X25,X19,X20)
& coll(X24,X21,X22)
& coll(X24,X19,X20)
& coll(X23,X21,X22)
& coll(X23,X18,X19) )
=> cyclic(X34,X35,X36,X37) ),
file('/export/starexec/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',exemplo6GDDFULL81109106) ).
fof(f2086,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X2,X0,X4,X1)
| ~ eqangle(X0,X3,X1,X3,X0,X2,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cyclic(X3,X2,X0,X4) ),
inference(resolution,[],[f580,f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD17) ).
fof(f580,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X3,X0,X2)
| ~ coll(X0,X2,X3)
| ~ eqangle(X0,X1,X2,X1,X0,X3,X2,X3) ),
inference(resolution,[],[f491,f416]) ).
fof(f491,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD21) ).
fof(f14337,plain,
( spl50_88
| spl50_27 ),
inference(avatar_split_clause,[],[f14326,f2821,f7559]) ).
fof(f2821,plain,
( spl50_27
<=> coll(sK16,sK17,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_27])]) ).
fof(f14326,plain,
( ! [X2,X1] : ~ para(X1,X2,X1,X2)
| spl50_27 ),
inference(resolution,[],[f11944,f453]) ).
fof(f11944,plain,
( ! [X14,X13] : ~ eqangle(X13,X14,sK17,sK16,X13,X14,sK17,sK16)
| spl50_27 ),
inference(resolution,[],[f4045,f488]) ).
fof(f4045,plain,
( ! [X2,X3] : ~ eqangle(sK17,sK16,X2,X3,sK17,sK16,X2,X3)
| spl50_27 ),
inference(resolution,[],[f3691,f463]) ).
fof(f3691,plain,
( ~ para(sK17,sK16,sK17,sK16)
| spl50_27 ),
inference(resolution,[],[f3660,f391]) ).
fof(f3660,plain,
( ~ coll(sK17,sK16,sK16)
| spl50_27 ),
inference(resolution,[],[f2823,f390]) ).
fof(f2823,plain,
( ~ coll(sK16,sK17,sK16)
| spl50_27 ),
inference(avatar_component_clause,[],[f2821]) ).
fof(f12774,plain,
~ spl50_88,
inference(avatar_contradiction_clause,[],[f12743]) ).
fof(f12743,plain,
( $false
| ~ spl50_88 ),
inference(resolution,[],[f12739,f370]) ).
fof(f370,plain,
circle(sK10,sK3,sK5,sK9),
inference(cnf_transformation,[],[f322]) ).
fof(f12739,plain,
( ! [X51,X54,X52,X53] : ~ circle(X51,X52,X53,X54)
| ~ spl50_88 ),
inference(resolution,[],[f12694,f419]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( perp(sK31(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( perp(sK31(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f217,f325]) ).
fof(f325,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK31(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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleX11) ).
fof(f12694,plain,
( ! [X21,X18,X19,X20] : ~ perp(X20,X21,X18,X19)
| ~ spl50_88 ),
inference(subsumption_resolution,[],[f12692,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD8) ).
fof(f12692,plain,
( ! [X21,X18,X19,X20] :
( ~ perp(X18,X19,X20,X21)
| ~ perp(X20,X21,X18,X19) )
| ~ spl50_88 ),
inference(resolution,[],[f7560,f468]) ).
fof(f468,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,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,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/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD9) ).
fof(f7560,plain,
( ! [X19,X20] : ~ para(X19,X20,X19,X20)
| ~ spl50_88 ),
inference(avatar_component_clause,[],[f7559]) ).
fof(f12685,plain,
( spl50_88
| spl50_59 ),
inference(avatar_split_clause,[],[f12674,f3838,f7559]) ).
fof(f12674,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| spl50_59 ),
inference(resolution,[],[f10702,f453]) ).
fof(f10702,plain,
( ! [X18,X19,X20] : ~ eqangle(X18,X19,sK18,X20,X18,X19,sK18,sK16)
| spl50_59 ),
inference(resolution,[],[f4012,f488]) ).
fof(f4012,plain,
( ! [X8,X6,X7] : ~ eqangle(sK18,X6,X7,X8,sK18,sK16,X7,X8)
| spl50_59 ),
inference(resolution,[],[f3873,f463]) ).
fof(f3873,plain,
( ! [X3] : ~ para(sK18,X3,sK18,sK16)
| spl50_59 ),
inference(resolution,[],[f3849,f391]) ).
fof(f3849,plain,
( ! [X0] : ~ coll(sK18,X0,sK16)
| spl50_59 ),
inference(duplicate_literal_removal,[],[f3847]) ).
fof(f3847,plain,
( ! [X0] :
( ~ coll(sK18,X0,sK16)
| ~ coll(sK18,X0,sK16) )
| spl50_59 ),
inference(resolution,[],[f3840,f408]) ).
fof(f3840,plain,
( ~ coll(sK16,sK16,sK18)
| spl50_59 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f7564,plain,
( spl50_88
| spl50_89 ),
inference(avatar_split_clause,[],[f7547,f7562,f7559]) ).
fof(f7547,plain,
! [X18,X19,X16,X14,X17,X15,X13,X20] :
( para(X13,X14,X15,X16)
| ~ eqangle(X13,X14,X15,X16,X17,X18,X17,X18)
| ~ para(X19,X20,X19,X20) ),
inference(resolution,[],[f2809,f453]) ).
fof(f2809,plain,
! [X72,X70,X73,X71,X68,X69,X66,X67,X74,X75] :
( ~ eqangle(X74,X75,X70,X71,X74,X75,X72,X73)
| para(X66,X67,X68,X69)
| ~ eqangle(X66,X67,X68,X69,X70,X71,X72,X73) ),
inference(resolution,[],[f983,f488]) ).
fof(f983,plain,
! [X40,X38,X41,X39,X36,X37,X34,X35,X42,X43] :
( ~ eqangle(X38,X39,X42,X43,X40,X41,X42,X43)
| ~ eqangle(X34,X35,X36,X37,X38,X39,X40,X41)
| para(X34,X35,X36,X37) ),
inference(resolution,[],[f493,f463]) ).
fof(f493,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317',ruleD73) ).
fof(f3487,plain,
( spl50_30
| ~ spl50_43 ),
inference(avatar_contradiction_clause,[],[f3474]) ).
fof(f3474,plain,
( $false
| spl50_30
| ~ spl50_43 ),
inference(resolution,[],[f3458,f3047]) ).
fof(f3047,plain,
( coll(sK17,sK16,sK17)
| ~ spl50_43 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f3046,plain,
( spl50_43
<=> coll(sK17,sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_43])]) ).
fof(f3458,plain,
( ! [X1] : ~ coll(sK17,sK16,X1)
| spl50_30 ),
inference(resolution,[],[f3444,f389]) ).
fof(f3444,plain,
( ! [X0] : ~ coll(sK17,X0,sK16)
| spl50_30 ),
inference(duplicate_literal_removal,[],[f3442]) ).
fof(f3442,plain,
( ! [X0] :
( ~ coll(sK17,X0,sK16)
| ~ coll(sK17,X0,sK16) )
| spl50_30 ),
inference(resolution,[],[f2840,f408]) ).
fof(f2840,plain,
( ~ coll(sK16,sK16,sK17)
| spl50_30 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f3140,plain,
( ~ spl50_27
| spl50_43 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3127,plain,
( $false
| ~ spl50_27
| spl50_43 ),
inference(resolution,[],[f3106,f2822]) ).
fof(f2822,plain,
( coll(sK16,sK17,sK16)
| ~ spl50_27 ),
inference(avatar_component_clause,[],[f2821]) ).
fof(f3106,plain,
( ! [X1] : ~ coll(sK16,sK17,X1)
| spl50_43 ),
inference(resolution,[],[f3077,f389]) ).
fof(f3077,plain,
( ! [X0] : ~ coll(sK16,X0,sK17)
| spl50_43 ),
inference(duplicate_literal_removal,[],[f3075]) ).
fof(f3075,plain,
( ! [X0] :
( ~ coll(sK16,X0,sK17)
| ~ coll(sK16,X0,sK17) )
| spl50_43 ),
inference(resolution,[],[f3051,f408]) ).
fof(f3051,plain,
( ~ coll(sK17,sK17,sK16)
| spl50_43 ),
inference(resolution,[],[f3048,f389]) ).
fof(f3048,plain,
( ~ coll(sK17,sK16,sK17)
| spl50_43 ),
inference(avatar_component_clause,[],[f3046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n008.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 29 19:47:17 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.gVa8gifhMy/Vampire---4.8_22317
% 0.12/0.36 % (22499)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (22505)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.12/0.41 % (22501)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.12/0.41 % (22504)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)
% 0.12/0.41 % (22500)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)
% 0.12/0.41 % (22502)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)
% 0.12/0.41 % (22503)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.12/0.41 % (22506)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 98.49/14.62 % (22503)First to succeed.
% 98.49/14.63 % (22503)Refutation found. Thanks to Tanya!
% 98.49/14.63 % SZS status Theorem for Vampire---4
% 98.49/14.63 % SZS output start Proof for Vampire---4
% See solution above
% 98.49/14.64 % (22503)------------------------------
% 98.49/14.64 % (22503)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 98.49/14.64 % (22503)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 98.49/14.64 % (22503)Termination reason: Refutation
% 98.49/14.64
% 98.49/14.64 % (22503)Memory used [KB]: 43624
% 98.49/14.64 % (22503)Time elapsed: 14.216 s
% 98.49/14.64 % (22503)------------------------------
% 98.49/14.64 % (22503)------------------------------
% 98.49/14.64 % (22499)Success in time 14.267 s
% 98.49/14.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------