TSTP Solution File: GEO589+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO589+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 : n006.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 : Fri Sep 1 14:48:45 EDT 2023
% Result : Theorem 5.09s 1.14s
% Output : Refutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 29
% Syntax : Number of formulae : 249 ( 142 unt; 0 def)
% Number of atoms : 467 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 354 ( 136 ~; 115 |; 60 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-5 aty)
% Number of variables : 565 (; 527 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107402,plain,
$false,
inference(subsumption_resolution,[],[f107287,f29314]) ).
fof(f29314,plain,
eqangle(sK4,sK5,sK4,sK6,sK7,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f26795,f396]) ).
fof(f396,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD41) ).
fof(f26795,plain,
cyclic(sK5,sK6,sK4,sK7),
inference(unit_resulting_resolution,[],[f17951,f17954,f438]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD17) ).
fof(f17954,plain,
cyclic(sK7,sK5,sK6,sK7),
inference(unit_resulting_resolution,[],[f12298,f14619,f438]) ).
fof(f14619,plain,
cyclic(sK7,sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f10414,f11645,f438]) ).
fof(f11645,plain,
cyclic(sK4,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f10040,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD14) ).
fof(f10040,plain,
cyclic(sK4,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f8175,f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD15) ).
fof(f8175,plain,
cyclic(sK4,sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f2737,f4024,f412]) ).
fof(f412,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD42b) ).
fof(f4024,plain,
! [X0,X1] : eqangle(sK7,sK4,X0,X1,sK7,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f1254,f451]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
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.8aBu4FWA7L/Vampire---4.8_23526',ruleD40) ).
fof(f1254,plain,
para(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f1020,f994,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD9) ).
fof(f994,plain,
perp(sK13(sK4,sK8,sK10,sK7),sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f982,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD7) ).
fof(f982,plain,
perp(sK13(sK4,sK8,sK10,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f378,f415]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,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,f333]) ).
fof(f333,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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleX11) ).
fof(f378,plain,
circle(sK7,sK4,sK8,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK5,sK9,sK4,sK6)
& coll(sK9,sK8,sK7)
& circle(sK7,sK8,sK9,sK11)
& circle(sK7,sK4,sK8,sK10)
& perp(sK4,sK6,sK5,sK8)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK5,sK9,sK4,sK6)
& coll(sK9,sK8,sK7)
& circle(sK7,sK8,sK9,sK11)
& circle(sK7,sK4,sK8,sK10)
& perp(sK4,sK6,sK5,sK8)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X1,X5,X0,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',exemplo6GDDFULL416051) ).
fof(f1020,plain,
perp(sK7,sK4,sK13(sK4,sK8,sK10,sK7),sK4),
inference(unit_resulting_resolution,[],[f994,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD8) ).
fof(f2737,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f2702,f2702,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ 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.8aBu4FWA7L/Vampire---4.8_23526',ruleD3) ).
fof(f2702,plain,
coll(sK5,sK8,sK7),
inference(unit_resulting_resolution,[],[f2675,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
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.8aBu4FWA7L/Vampire---4.8_23526',ruleD1) ).
fof(f2675,plain,
coll(sK5,sK7,sK8),
inference(unit_resulting_resolution,[],[f583,f2663,f404]) ).
fof(f2663,plain,
coll(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f2645,f2645,f404]) ).
fof(f2645,plain,
coll(sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f1205,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD66) ).
fof(f1205,plain,
para(sK5,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f548,f555,f466]) ).
fof(f555,plain,
perp(sK6,sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f548,f400]) ).
fof(f548,plain,
perp(sK5,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f543,f399]) ).
fof(f543,plain,
perp(sK5,sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f377,f400]) ).
fof(f377,plain,
perp(sK4,sK6,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f583,plain,
coll(sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f504,f504,f404]) ).
fof(f504,plain,
coll(sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f499,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,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.8aBu4FWA7L/Vampire---4.8_23526',ruleD2) ).
fof(f499,plain,
coll(sK9,sK7,sK8),
inference(unit_resulting_resolution,[],[f380,f385]) ).
fof(f380,plain,
coll(sK9,sK8,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f10414,plain,
cyclic(sK4,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f8174,f9424,f438]) ).
fof(f9424,plain,
cyclic(sK4,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f8764,f8775,f438]) ).
fof(f8775,plain,
cyclic(sK6,sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f8415,f394]) ).
fof(f8415,plain,
cyclic(sK6,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f8123,f395]) ).
fof(f8123,plain,
cyclic(sK6,sK7,sK4,sK4),
inference(unit_resulting_resolution,[],[f1419,f1308,f412]) ).
fof(f1308,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f1229,f451]) ).
fof(f1229,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f539,f544,f466]) ).
fof(f544,plain,
perp(sK8,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f539,f400]) ).
fof(f539,plain,
perp(sK4,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f377,f399]) ).
fof(f1419,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f1406,f1406,f404]) ).
fof(f1406,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f1386,f1386,f404]) ).
fof(f1386,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f1247,f387]) ).
fof(f1247,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f993,f982,f466]) ).
fof(f993,plain,
perp(sK4,sK7,sK13(sK4,sK8,sK10,sK7),sK4),
inference(unit_resulting_resolution,[],[f982,f400]) ).
fof(f8764,plain,
cyclic(sK6,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f8404,f394]) ).
fof(f8404,plain,
cyclic(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f8122,f395]) ).
fof(f8122,plain,
cyclic(sK6,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f1326,f1308,f412]) ).
fof(f1326,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f1319,f1319,f404]) ).
fof(f1319,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f1299,f1299,f404]) ).
fof(f1299,plain,
coll(sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f1229,f387]) ).
fof(f8174,plain,
cyclic(sK4,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f1406,f4024,f412]) ).
fof(f12298,plain,
cyclic(sK7,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f8184,f10506,f438]) ).
fof(f10506,plain,
cyclic(sK8,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f8185,f9493,f438]) ).
fof(f9493,plain,
cyclic(sK8,sK8,sK7,sK5),
inference(unit_resulting_resolution,[],[f8339,f8845,f438]) ).
fof(f8845,plain,
cyclic(sK7,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f8470,f394]) ).
fof(f8470,plain,
cyclic(sK7,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f8189,f395]) ).
fof(f8189,plain,
cyclic(sK7,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f2663,f2591,f412]) ).
fof(f2591,plain,
! [X0,X1] : eqangle(sK8,sK7,X0,X1,sK8,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f1250,f451]) ).
fof(f1250,plain,
para(sK8,sK7,sK8,sK7),
inference(unit_resulting_resolution,[],[f999,f983,f466]) ).
fof(f983,plain,
perp(sK13(sK8,sK9,sK11,sK7),sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f379,f415]) ).
fof(f379,plain,
circle(sK7,sK8,sK9,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f999,plain,
perp(sK8,sK7,sK13(sK8,sK9,sK11,sK7),sK8),
inference(unit_resulting_resolution,[],[f983,f400]) ).
fof(f8339,plain,
cyclic(sK7,sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f8217,f394]) ).
fof(f8217,plain,
cyclic(sK7,sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f8191,f395]) ).
fof(f8191,plain,
cyclic(sK7,sK7,sK8,sK8),
inference(unit_resulting_resolution,[],[f583,f2591,f412]) ).
fof(f8185,plain,
cyclic(sK8,sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f581,f4045,f412]) ).
fof(f4045,plain,
! [X0,X1] : eqangle(sK7,sK8,X0,X1,sK7,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f1255,f451]) ).
fof(f1255,plain,
para(sK7,sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f1030,f1000,f466]) ).
fof(f1000,plain,
perp(sK13(sK8,sK9,sK11,sK7),sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f983,f399]) ).
fof(f1030,plain,
perp(sK7,sK8,sK13(sK8,sK9,sK11,sK7),sK8),
inference(unit_resulting_resolution,[],[f1000,f400]) ).
fof(f581,plain,
coll(sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f503,f503,f404]) ).
fof(f503,plain,
coll(sK8,sK9,sK7),
inference(unit_resulting_resolution,[],[f380,f386]) ).
fof(f8184,plain,
cyclic(sK8,sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f617,f4045,f412]) ).
fof(f617,plain,
coll(sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f594,f594,f404]) ).
fof(f594,plain,
coll(sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f579,f385]) ).
fof(f579,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f380,f380,f404]) ).
fof(f17951,plain,
cyclic(sK7,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f12296,f14619,f438]) ).
fof(f12296,plain,
cyclic(sK7,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f8603,f10506,f438]) ).
fof(f8603,plain,
cyclic(sK8,sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f8294,f394]) ).
fof(f8294,plain,
cyclic(sK8,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f8181,f395]) ).
fof(f8181,plain,
cyclic(sK8,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f1406,f4045,f412]) ).
fof(f107287,plain,
~ eqangle(sK4,sK5,sK4,sK6,sK7,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f376,f3588,f107141,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| midp(X4,X1,X2)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2,X7,X6] :
( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
& coll(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> midp(X6,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD51) ).
fof(f107141,plain,
! [X0] : ~ midp(X0,sK5,X0),
inference(unit_resulting_resolution,[],[f33362,f2664,f105453,f432]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD45) ).
fof(f105453,plain,
! [X0] : ~ midp(X0,sK5,sK8),
inference(unit_resulting_resolution,[],[f8856,f33378,f104431,f441]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| circle(sK21(X0,X1,X2,X3,X4),X0,X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( circle(sK21(X0,X1,X2,X3,X4),X0,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f253,f349]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( circle(X5,X0,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) )
=> ( circle(sK21(X0,X1,X2,X3,X4),X0,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( circle(X5,X0,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f252]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( circle(X5,X0,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( midp(X4,X0,X1)
& para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> circle(X5,X0,X1,X2) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X0,X1,X2,X3,X6] :
? [X7] :
( ( midp(X6,X0,X1)
& para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleX13) ).
fof(f104431,plain,
! [X0] : ~ circle(X0,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f35916,f104324,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD53) ).
fof(f104324,plain,
~ perp(sK5,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f51402,f104241,f494]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD74) ).
fof(f104241,plain,
~ perp(sK8,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f81249,f8887,f494]) ).
fof(f8887,plain,
eqangle(sK9,sK5,sK9,sK8,sK8,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f8514,f396]) ).
fof(f8514,plain,
cyclic(sK5,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f8200,f395]) ).
fof(f8200,plain,
cyclic(sK5,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f580,f4114,f412]) ).
fof(f4114,plain,
! [X0,X1] : eqangle(sK8,sK5,X0,X1,sK8,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f1208,f451]) ).
fof(f1208,plain,
para(sK8,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f552,f559,f466]) ).
fof(f559,plain,
perp(sK6,sK4,sK8,sK5),
inference(unit_resulting_resolution,[],[f552,f400]) ).
fof(f552,plain,
perp(sK8,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f544,f399]) ).
fof(f580,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f499,f499,f404]) ).
fof(f81249,plain,
~ perp(sK9,sK5,sK9,sK8),
inference(unit_resulting_resolution,[],[f64310,f399]) ).
fof(f64310,plain,
~ perp(sK9,sK5,sK8,sK9),
inference(unit_resulting_resolution,[],[f53011,f400]) ).
fof(f53011,plain,
~ perp(sK8,sK9,sK9,sK5),
inference(unit_resulting_resolution,[],[f12956,f36732,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| circle(sK14(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
! [X0,X1,X2,X3] :
( circle(sK14(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f219,f335]) ).
fof(f335,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) )
=> ( circle(sK14(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X4,X0,X1,X2) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2,X3] :
? [X7] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleX14) ).
fof(f36732,plain,
! [X0] : ~ circle(X0,sK8,sK5,sK9),
inference(unit_resulting_resolution,[],[f1166,f35916,f405]) ).
fof(f1166,plain,
~ perp(sK8,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f559,f526,f466]) ).
fof(f526,plain,
~ para(sK6,sK4,sK5,sK9),
inference(unit_resulting_resolution,[],[f523,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD5) ).
fof(f523,plain,
~ para(sK5,sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f381,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
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/sandbox2/tmp/tmp.8aBu4FWA7L/Vampire---4.8_23526',ruleD4) ).
fof(f381,plain,
~ para(sK5,sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f12956,plain,
cyclic(sK8,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f9491,f10635,f438]) ).
fof(f10635,plain,
cyclic(sK8,sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f8845,f9638,f438]) ).
fof(f9638,plain,
cyclic(sK7,sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f8191,f8945,f438]) ).
fof(f8945,plain,
cyclic(sK7,sK7,sK8,sK4),
inference(unit_resulting_resolution,[],[f8526,f8559,f438]) ).
fof(f8559,plain,
cyclic(sK4,sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f8272,f394]) ).
fof(f8272,plain,
cyclic(sK4,sK7,sK8,sK7),
inference(unit_resulting_resolution,[],[f8178,f395]) ).
fof(f8178,plain,
cyclic(sK4,sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f581,f4024,f412]) ).
fof(f8526,plain,
cyclic(sK4,sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f8250,f394]) ).
fof(f8250,plain,
cyclic(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f8174,f395]) ).
fof(f9491,plain,
cyclic(sK8,sK8,sK5,sK9),
inference(unit_resulting_resolution,[],[f8383,f8845,f438]) ).
fof(f8383,plain,
cyclic(sK7,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f8239,f394]) ).
fof(f8239,plain,
cyclic(sK7,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f8193,f395]) ).
fof(f8193,plain,
cyclic(sK7,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f580,f2591,f412]) ).
fof(f51402,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(unit_resulting_resolution,[],[f33378,f451]) ).
fof(f35916,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f33948,f33948,f404]) ).
fof(f33948,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f33377,f33377,f404]) ).
fof(f33377,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f33362,f387]) ).
fof(f33378,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f33362,f397]) ).
fof(f8856,plain,
cyclic(sK5,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f8481,f394]) ).
fof(f8481,plain,
cyclic(sK5,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f8196,f395]) ).
fof(f8196,plain,
cyclic(sK5,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f2663,f4114,f412]) ).
fof(f2664,plain,
coll(sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f2645,f386]) ).
fof(f33362,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f17855,f461]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
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.8aBu4FWA7L/Vampire---4.8_23526',ruleD39) ).
fof(f17855,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK6,X0,X1,sK4,sK6),
inference(unit_resulting_resolution,[],[f1308,f488]) ).
fof(f488,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
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.8aBu4FWA7L/Vampire---4.8_23526',ruleD19) ).
fof(f3588,plain,
coll(sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f2065,f3493,f404]) ).
fof(f3493,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f2680,f385]) ).
fof(f2680,plain,
coll(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f2067,f2663,f404]) ).
fof(f2067,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f1910,f1910,f404]) ).
fof(f1910,plain,
coll(sK6,sK7,sK8),
inference(unit_resulting_resolution,[],[f1700,f385]) ).
fof(f1700,plain,
coll(sK6,sK8,sK7),
inference(unit_resulting_resolution,[],[f1481,f1500,f404]) ).
fof(f1500,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f1452,f385]) ).
fof(f1452,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f1326,f1419,f404]) ).
fof(f1481,plain,
coll(sK7,sK4,sK8),
inference(unit_resulting_resolution,[],[f1441,f386]) ).
fof(f1441,plain,
coll(sK4,sK7,sK8),
inference(unit_resulting_resolution,[],[f1417,f385]) ).
fof(f1417,plain,
coll(sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f581,f1406,f404]) ).
fof(f2065,plain,
coll(sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f1715,f1910,f404]) ).
fof(f1715,plain,
coll(sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f1320,f1507,f404]) ).
fof(f1507,plain,
coll(sK6,sK4,sK7),
inference(unit_resulting_resolution,[],[f1455,f385]) ).
fof(f1455,plain,
coll(sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f1326,f1419,f404]) ).
fof(f1320,plain,
coll(sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f1299,f386]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 18:07:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.42 % (23764)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (23798)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (23799)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (23801)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (23800)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (23802)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (23803)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (23804)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.50 TRYING [1]
% 0.22/0.54 TRYING [2]
% 2.44/0.81 TRYING [1]
% 2.44/0.82 TRYING [2]
% 3.00/0.85 TRYING [3]
% 5.09/1.14 % (23804)First to succeed.
% 5.09/1.14 % (23804)Refutation found. Thanks to Tanya!
% 5.09/1.14 % SZS status Theorem for Vampire---4
% 5.09/1.14 % SZS output start Proof for Vampire---4
% See solution above
% 5.09/1.14 % (23804)------------------------------
% 5.09/1.14 % (23804)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.09/1.14 % (23804)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.09/1.14 % (23804)Termination reason: Refutation
% 5.09/1.14
% 5.09/1.14 % (23804)Memory used [KB]: 20724
% 5.09/1.14 % (23804)Time elapsed: 0.711 s
% 5.09/1.14 % (23804)------------------------------
% 5.09/1.14 % (23804)------------------------------
% 5.09/1.14 % (23764)Success in time 0.775 s
% 5.09/1.14 % Vampire---4.8 exiting
%------------------------------------------------------------------------------