TSTP Solution File: GEO568+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO568+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 : n016.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 14:47:30 EDT 2023
% Result : Theorem 69.27s 10.39s
% Output : Refutation 69.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 284 ( 163 unt; 0 def)
% Number of atoms : 564 ( 0 equ)
% Maximal formula atoms : 22 ( 1 avg)
% Number of connectives : 418 ( 138 ~; 127 |; 108 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 548 (; 521 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f563726,plain,
$false,
inference(subsumption_resolution,[],[f563495,f55341]) ).
fof(f55341,plain,
para(sK9,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f48707,f54284,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,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.2nNyU25dUM/Vampire---4.8_30449',ruleD63) ).
fof(f54284,plain,
midp(sK7,sK9,sK4),
inference(unit_resulting_resolution,[],[f54259,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD11) ).
fof(f54259,plain,
midp(sK7,sK4,sK9),
inference(unit_resulting_resolution,[],[f31540,f25879,f23240,f437]) ).
fof(f437,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD45) ).
fof(f23240,plain,
para(sK11,sK7,sK5,sK9),
inference(unit_resulting_resolution,[],[f20202,f19784,f472]) ).
fof(f472,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,[],[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.2nNyU25dUM/Vampire---4.8_30449',ruleD9) ).
fof(f19784,plain,
perp(sK12,sK10,sK5,sK9),
inference(unit_resulting_resolution,[],[f7019,f829,f470]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,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.2nNyU25dUM/Vampire---4.8_30449',ruleD10) ).
fof(f829,plain,
perp(sK6,sK4,sK5,sK9),
inference(unit_resulting_resolution,[],[f781,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD7) ).
fof(f781,plain,
perp(sK6,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f761,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD8) ).
fof(f761,plain,
perp(sK9,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f384,f406]) ).
fof(f384,plain,
perp(sK9,sK5,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK4,sK7,sK8,sK9)
& coll(sK9,sK4,sK6)
& perp(sK9,sK5,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& perp(sK5,sK6,sK12,sK7)
& midp(sK12,sK5,sK6)
& perp(sK4,sK6,sK11,sK7)
& midp(sK11,sK4,sK6)
& perp(sK4,sK5,sK10,sK7)
& midp(sK10,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X3)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X3)
& midp(X6,X0,X1) )
=> ( ~ perp(sK4,sK7,sK8,sK9)
& coll(sK9,sK4,sK6)
& perp(sK9,sK5,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& perp(sK5,sK6,sK12,sK7)
& midp(sK12,sK5,sK6)
& perp(sK4,sK6,sK11,sK7)
& midp(sK11,sK4,sK6)
& perp(sK4,sK5,sK10,sK7)
& midp(sK10,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X3)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X3)
& midp(X6,X0,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X3)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X3)
& midp(X6,X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X3)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X3)
& midp(X6,X0,X1) )
=> perp(X0,X3,X4,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19,X20] :
( ( coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X1,X2,X20,X7)
& midp(X20,X1,X2)
& perp(X0,X2,X19,X7)
& midp(X19,X0,X2)
& perp(X0,X1,X18,X7)
& midp(X18,X0,X1) )
=> perp(X0,X7,X3,X4) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19,X20] :
( ( coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X1,X2,X20,X7)
& midp(X20,X1,X2)
& perp(X0,X2,X19,X7)
& midp(X19,X0,X2)
& perp(X0,X1,X18,X7)
& midp(X18,X0,X1) )
=> perp(X0,X7,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',exemplo6GDDFULL214030) ).
fof(f7019,plain,
para(sK12,sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f380,f504,f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,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.2nNyU25dUM/Vampire---4.8_30449',ruleD44) ).
fof(f504,plain,
midp(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f376,f387]) ).
fof(f376,plain,
midp(sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f380,plain,
midp(sK12,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f20202,plain,
perp(sK11,sK7,sK12,sK10),
inference(unit_resulting_resolution,[],[f19749,f407]) ).
fof(f19749,plain,
perp(sK12,sK10,sK11,sK7),
inference(unit_resulting_resolution,[],[f7019,f858,f470]) ).
fof(f858,plain,
perp(sK6,sK4,sK11,sK7),
inference(unit_resulting_resolution,[],[f815,f407]) ).
fof(f815,plain,
perp(sK11,sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f785,f406]) ).
fof(f785,plain,
perp(sK11,sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f379,f407]) ).
fof(f379,plain,
perp(sK4,sK6,sK11,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f25879,plain,
coll(sK7,sK4,sK9),
inference(unit_resulting_resolution,[],[f2535,f25569,f409]) ).
fof(f409,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD3) ).
fof(f25569,plain,
coll(sK9,sK12,sK7),
inference(unit_resulting_resolution,[],[f25454,f390]) ).
fof(f390,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD1) ).
fof(f25454,plain,
coll(sK9,sK7,sK12),
inference(unit_resulting_resolution,[],[f1793,f25419,f409]) ).
fof(f25419,plain,
coll(sK12,sK12,sK7),
inference(unit_resulting_resolution,[],[f25412,f25412,f409]) ).
fof(f25412,plain,
coll(sK7,sK7,sK12),
inference(unit_resulting_resolution,[],[f25392,f25392,f409]) ).
fof(f25392,plain,
coll(sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f23117,f392]) ).
fof(f392,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD66) ).
fof(f23117,plain,
para(sK12,sK7,sK12,sK7),
inference(unit_resulting_resolution,[],[f20222,f19758,f472]) ).
fof(f19758,plain,
perp(sK11,sK10,sK12,sK7),
inference(unit_resulting_resolution,[],[f7014,f862,f470]) ).
fof(f862,plain,
perp(sK6,sK5,sK12,sK7),
inference(unit_resulting_resolution,[],[f819,f407]) ).
fof(f819,plain,
perp(sK12,sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f786,f406]) ).
fof(f786,plain,
perp(sK12,sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f381,f407]) ).
fof(f381,plain,
perp(sK5,sK6,sK12,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f7014,plain,
para(sK11,sK10,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f376,f436]) ).
fof(f378,plain,
midp(sK11,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f20222,plain,
perp(sK12,sK7,sK11,sK10),
inference(unit_resulting_resolution,[],[f19758,f407]) ).
fof(f1793,plain,
coll(sK12,sK12,sK9),
inference(unit_resulting_resolution,[],[f1227,f1227,f409]) ).
fof(f1227,plain,
coll(sK9,sK6,sK12),
inference(unit_resulting_resolution,[],[f1058,f390]) ).
fof(f1058,plain,
coll(sK9,sK12,sK6),
inference(unit_resulting_resolution,[],[f957,f967,f409]) ).
fof(f967,plain,
coll(sK6,sK6,sK12),
inference(unit_resulting_resolution,[],[f518,f518,f409]) ).
fof(f518,plain,
coll(sK12,sK5,sK6),
inference(unit_resulting_resolution,[],[f380,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(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.2nNyU25dUM/Vampire---4.8_30449',ruleD69) ).
fof(f957,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f385,f385,f409]) ).
fof(f385,plain,
coll(sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f2535,plain,
coll(sK9,sK12,sK4),
inference(unit_resulting_resolution,[],[f573,f1614,f409]) ).
fof(f1614,plain,
coll(sK4,sK6,sK12),
inference(unit_resulting_resolution,[],[f1158,f390]) ).
fof(f1158,plain,
coll(sK4,sK12,sK6),
inference(unit_resulting_resolution,[],[f967,f982,f409]) ).
fof(f982,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f551,f551,f409]) ).
fof(f551,plain,
coll(sK4,sK11,sK6),
inference(unit_resulting_resolution,[],[f517,f391]) ).
fof(f391,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD2) ).
fof(f517,plain,
coll(sK11,sK4,sK6),
inference(unit_resulting_resolution,[],[f378,f388]) ).
fof(f573,plain,
coll(sK4,sK6,sK9),
inference(unit_resulting_resolution,[],[f549,f390]) ).
fof(f549,plain,
coll(sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f385,f391]) ).
fof(f31540,plain,
midp(sK11,sK4,sK5),
inference(unit_resulting_resolution,[],[f30062,f387]) ).
fof(f30062,plain,
midp(sK11,sK5,sK4),
inference(unit_resulting_resolution,[],[f18666,f1440,f7022,f437]) ).
fof(f7022,plain,
para(sK12,sK11,sK5,sK4),
inference(unit_resulting_resolution,[],[f506,f505,f436]) ).
fof(f505,plain,
midp(sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f378,f387]) ).
fof(f506,plain,
midp(sK12,sK6,sK5),
inference(unit_resulting_resolution,[],[f380,f387]) ).
fof(f1440,plain,
coll(sK11,sK5,sK4),
inference(unit_resulting_resolution,[],[f974,f981,f409]) ).
fof(f981,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f553,f553,f409]) ).
fof(f553,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f519,f391]) ).
fof(f519,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f504,f388]) ).
fof(f974,plain,
coll(sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f520,f520,f409]) ).
fof(f520,plain,
coll(sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f505,f388]) ).
fof(f18666,plain,
midp(sK12,sK5,sK5),
inference(unit_resulting_resolution,[],[f1301,f17641,f394]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,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.2nNyU25dUM/Vampire---4.8_30449',ruleD67) ).
fof(f17641,plain,
cong(sK12,sK5,sK12,sK5),
inference(unit_resulting_resolution,[],[f17377,f17450,f415]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD52) ).
fof(f17450,plain,
perp(sK12,sK12,sK12,sK12),
inference(unit_resulting_resolution,[],[f2064,f17234,f410]) ).
fof(f410,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD53) ).
fof(f17234,plain,
circle(sK6,sK12,sK12,sK12),
inference(unit_resulting_resolution,[],[f17099,f17099,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,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.2nNyU25dUM/Vampire---4.8_30449',ruleD12) ).
fof(f17099,plain,
cong(sK6,sK12,sK6,sK12),
inference(unit_resulting_resolution,[],[f506,f17028,f415]) ).
fof(f17028,plain,
perp(sK6,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f16938,f406]) ).
fof(f16938,plain,
perp(sK6,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f16909,f407]) ).
fof(f16909,plain,
perp(sK5,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f518,f16876,f410]) ).
fof(f16876,plain,
circle(sK12,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f650,f650,f412]) ).
fof(f650,plain,
cong(sK12,sK5,sK12,sK6),
inference(unit_resulting_resolution,[],[f380,f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,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.2nNyU25dUM/Vampire---4.8_30449',ruleD68) ).
fof(f2064,plain,
coll(sK6,sK12,sK12),
inference(unit_resulting_resolution,[],[f518,f1427,f409]) ).
fof(f1427,plain,
coll(sK12,sK5,sK12),
inference(unit_resulting_resolution,[],[f972,f390]) ).
fof(f972,plain,
coll(sK12,sK12,sK5),
inference(unit_resulting_resolution,[],[f585,f585,f409]) ).
fof(f585,plain,
coll(sK5,sK6,sK12),
inference(unit_resulting_resolution,[],[f552,f390]) ).
fof(f552,plain,
coll(sK5,sK12,sK6),
inference(unit_resulting_resolution,[],[f518,f391]) ).
fof(f17377,plain,
midp(sK5,sK12,sK12),
inference(unit_resulting_resolution,[],[f2067,f17153,f394]) ).
fof(f17153,plain,
cong(sK5,sK12,sK5,sK12),
inference(unit_resulting_resolution,[],[f380,f17079,f415]) ).
fof(f17079,plain,
perp(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f17010,f406]) ).
fof(f17010,plain,
perp(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f16921,f407]) ).
fof(f16921,plain,
perp(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f521,f16883,f410]) ).
fof(f16883,plain,
circle(sK12,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f653,f653,f412]) ).
fof(f653,plain,
cong(sK12,sK6,sK12,sK5),
inference(unit_resulting_resolution,[],[f506,f389]) ).
fof(f521,plain,
coll(sK12,sK6,sK5),
inference(unit_resulting_resolution,[],[f506,f388]) ).
fof(f2067,plain,
coll(sK5,sK12,sK12),
inference(unit_resulting_resolution,[],[f1427,f391]) ).
fof(f1301,plain,
coll(sK12,sK5,sK5),
inference(unit_resulting_resolution,[],[f975,f1078,f409]) ).
fof(f1078,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f1019,f1019,f409]) ).
fof(f1019,plain,
coll(sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f956,f390]) ).
fof(f956,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f383,f383,f409]) ).
fof(f383,plain,
coll(sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f975,plain,
coll(sK5,sK5,sK12),
inference(unit_resulting_resolution,[],[f521,f521,f409]) ).
fof(f48707,plain,
midp(sK7,sK8,sK4),
inference(unit_resulting_resolution,[],[f48683,f387]) ).
fof(f48683,plain,
midp(sK7,sK4,sK8),
inference(unit_resulting_resolution,[],[f31587,f25840,f23203,f437]) ).
fof(f23203,plain,
para(sK10,sK7,sK6,sK8),
inference(unit_resulting_resolution,[],[f20182,f19774,f472]) ).
fof(f19774,plain,
perp(sK12,sK11,sK6,sK8),
inference(unit_resulting_resolution,[],[f7022,f825,f470]) ).
fof(f825,plain,
perp(sK5,sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f780,f406]) ).
fof(f780,plain,
perp(sK5,sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f760,f407]) ).
fof(f760,plain,
perp(sK8,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f382,f406]) ).
fof(f382,plain,
perp(sK8,sK6,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f20182,plain,
perp(sK10,sK7,sK12,sK11),
inference(unit_resulting_resolution,[],[f19739,f407]) ).
fof(f19739,plain,
perp(sK12,sK11,sK10,sK7),
inference(unit_resulting_resolution,[],[f7022,f854,f470]) ).
fof(f854,plain,
perp(sK5,sK4,sK10,sK7),
inference(unit_resulting_resolution,[],[f811,f407]) ).
fof(f811,plain,
perp(sK10,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f784,f406]) ).
fof(f784,plain,
perp(sK10,sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f377,f407]) ).
fof(f377,plain,
perp(sK4,sK5,sK10,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f25840,plain,
coll(sK7,sK4,sK8),
inference(unit_resulting_resolution,[],[f2501,f25562,f409]) ).
fof(f25562,plain,
coll(sK8,sK12,sK7),
inference(unit_resulting_resolution,[],[f25453,f390]) ).
fof(f25453,plain,
coll(sK8,sK7,sK12),
inference(unit_resulting_resolution,[],[f2475,f25419,f409]) ).
fof(f2475,plain,
coll(sK12,sK12,sK8),
inference(unit_resulting_resolution,[],[f1575,f1575,f409]) ).
fof(f1575,plain,
coll(sK8,sK5,sK12),
inference(unit_resulting_resolution,[],[f1134,f390]) ).
fof(f1134,plain,
coll(sK8,sK12,sK5),
inference(unit_resulting_resolution,[],[f956,f975,f409]) ).
fof(f2501,plain,
coll(sK8,sK12,sK4),
inference(unit_resulting_resolution,[],[f569,f1598,f409]) ).
fof(f1598,plain,
coll(sK4,sK5,sK12),
inference(unit_resulting_resolution,[],[f1145,f390]) ).
fof(f1145,plain,
coll(sK4,sK12,sK5),
inference(unit_resulting_resolution,[],[f975,f980,f409]) ).
fof(f980,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f550,f550,f409]) ).
fof(f550,plain,
coll(sK4,sK10,sK5),
inference(unit_resulting_resolution,[],[f516,f391]) ).
fof(f516,plain,
coll(sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f376,f388]) ).
fof(f569,plain,
coll(sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f548,f390]) ).
fof(f548,plain,
coll(sK4,sK8,sK5),
inference(unit_resulting_resolution,[],[f383,f391]) ).
fof(f31587,plain,
midp(sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f30073,f387]) ).
fof(f30073,plain,
midp(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f18616,f1456,f7019,f437]) ).
fof(f1456,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f966,f983,f409]) ).
fof(f983,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f555,f555,f409]) ).
fof(f555,plain,
coll(sK6,sK11,sK4),
inference(unit_resulting_resolution,[],[f520,f391]) ).
fof(f966,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f519,f519,f409]) ).
fof(f18616,plain,
midp(sK12,sK6,sK6),
inference(unit_resulting_resolution,[],[f1242,f17620,f394]) ).
fof(f17620,plain,
cong(sK12,sK6,sK12,sK6),
inference(unit_resulting_resolution,[],[f17429,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD23) ).
fof(f17429,plain,
cong(sK12,sK6,sK6,sK12),
inference(unit_resulting_resolution,[],[f17228,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
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.2nNyU25dUM/Vampire---4.8_30449',ruleD24) ).
fof(f17228,plain,
cong(sK6,sK12,sK12,sK6),
inference(unit_resulting_resolution,[],[f17099,f404]) ).
fof(f1242,plain,
coll(sK12,sK6,sK6),
inference(unit_resulting_resolution,[],[f1062,f391]) ).
fof(f1062,plain,
coll(sK6,sK12,sK6),
inference(unit_resulting_resolution,[],[f967,f390]) ).
fof(f563495,plain,
~ para(sK9,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f779,f358600,f470]) ).
fof(f358600,plain,
perp(sK4,sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f20962,f358543,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,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.2nNyU25dUM/Vampire---4.8_30449',ruleD56) ).
fof(f358543,plain,
cong(sK4,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f77262,f77262,f76117,f16679,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD43) ).
fof(f16679,plain,
! [X0,X1] : eqangle(sK6,sK4,X0,X1,sK6,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f8051,f456]) ).
fof(f456,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD40) ).
fof(f8051,plain,
para(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f5846,f402]) ).
fof(f402,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD4) ).
fof(f5846,plain,
para(sK6,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f505,f378,f435]) ).
fof(f76117,plain,
cyclic(sK4,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f982,f16679,f417]) ).
fof(f417,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD42b) ).
fof(f77262,plain,
cyclic(sK4,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f76448,f400]) ).
fof(f400,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD15) ).
fof(f76448,plain,
cyclic(sK4,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f76144,f398]) ).
fof(f398,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/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD16) ).
fof(f76144,plain,
cyclic(sK6,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f1204,f16662,f417]) ).
fof(f16662,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f8067,f456]) ).
fof(f8067,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f5851,f402]) ).
fof(f5851,plain,
para(sK4,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f378,f505,f435]) ).
fof(f1204,plain,
coll(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f1051,f1051,f409]) ).
fof(f1051,plain,
coll(sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f965,f390]) ).
fof(f965,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f528,f528,f409]) ).
fof(f528,plain,
coll(sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f20962,plain,
cong(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f13903,f13891,f471]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.2nNyU25dUM/Vampire---4.8_30449',ruleD25) ).
fof(f13891,plain,
cong(sK6,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f13866,f404]) ).
fof(f13866,plain,
cong(sK6,sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f13828,f405]) ).
fof(f13828,plain,
cong(sK7,sK4,sK6,sK7),
inference(unit_resulting_resolution,[],[f13778,f404]) ).
fof(f13778,plain,
cong(sK7,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f378,f788,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| cong(X3,X0,X3,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.2nNyU25dUM/Vampire---4.8_30449',ruleD55) ).
fof(f788,plain,
perp(sK7,sK11,sK4,sK6),
inference(unit_resulting_resolution,[],[f758,f407]) ).
fof(f758,plain,
perp(sK4,sK6,sK7,sK11),
inference(unit_resulting_resolution,[],[f379,f406]) ).
fof(f13903,plain,
cong(sK4,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f13878,f404]) ).
fof(f13878,plain,
cong(sK4,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f13849,f405]) ).
fof(f13849,plain,
cong(sK7,sK6,sK4,sK7),
inference(unit_resulting_resolution,[],[f13775,f404]) ).
fof(f13775,plain,
cong(sK7,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f505,f837,f408]) ).
fof(f837,plain,
perp(sK7,sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f788,f406]) ).
fof(f779,plain,
~ perp(sK9,sK8,sK4,sK7),
inference(unit_resulting_resolution,[],[f756,f407]) ).
fof(f756,plain,
~ perp(sK4,sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f386,f406]) ).
fof(f386,plain,
~ perp(sK4,sK7,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 18:42:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.41 % (30666)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (30667)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (30668)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (30670)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (30669)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)
% 0.20/0.42 % (30672)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)
% 0.20/0.42 % (30671)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)
% 0.20/0.42 % (30673)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.49 TRYING [1]
% 0.20/0.52 TRYING [2]
% 5.13/1.13 TRYING [1]
% 5.13/1.13 TRYING [2]
% 5.39/1.16 TRYING [3]
% 6.14/1.29 TRYING [3]
% 69.27/10.34 % (30673)First to succeed.
% 69.27/10.39 % (30673)Refutation found. Thanks to Tanya!
% 69.27/10.39 % SZS status Theorem for Vampire---4
% 69.27/10.39 % SZS output start Proof for Vampire---4
% See solution above
% 69.27/10.39 % (30673)------------------------------
% 69.27/10.39 % (30673)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 69.27/10.39 % (30673)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 69.27/10.39 % (30673)Termination reason: Refutation
% 69.27/10.39
% 69.27/10.39 % (30673)Memory used [KB]: 334664
% 69.27/10.39 % (30673)Time elapsed: 9.929 s
% 69.27/10.39 % (30673)------------------------------
% 69.27/10.39 % (30673)------------------------------
% 69.27/10.39 % (30666)Success in time 10.007 s
% 69.27/10.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------