TSTP Solution File: GEO634+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n014.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 14:53:17 EDT 2023
% Result : Theorem 92.99s 13.68s
% Output : Refutation 92.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 38
% Syntax : Number of formulae : 482 ( 324 unt; 0 def)
% Number of atoms : 846 ( 0 equ)
% Maximal formula atoms : 26 ( 1 avg)
% Number of connectives : 557 ( 193 ~; 176 |; 133 &)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 703 (; 663 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1079080,plain,
$false,
inference(subsumption_resolution,[],[f1079062,f708812]) ).
fof(f708812,plain,
~ para(sK13,sK10,sK8,sK9),
inference(unit_resulting_resolution,[],[f156307,f1955,f708297,f439]) ).
fof(f439,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD45) ).
fof(f708297,plain,
~ midp(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f707705,f389]) ).
fof(f389,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD11) ).
fof(f707705,plain,
~ midp(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f88129,f3271,f707420,f439]) ).
fof(f707420,plain,
~ midp(sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f45758,f2367,f706911,f439]) ).
fof(f706911,plain,
~ midp(sK5,sK9,sK13),
inference(unit_resulting_resolution,[],[f35806,f537245,f437]) ).
fof(f437,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD63) ).
fof(f537245,plain,
~ para(sK4,sK9,sK4,sK13),
inference(unit_resulting_resolution,[],[f725,f230877,f472]) ).
fof(f472,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD10) ).
fof(f230877,plain,
perp(sK4,sK13,sK13,sK12),
inference(subsumption_resolution,[],[f230876,f219295]) ).
fof(f219295,plain,
cong(sK13,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f98023,f140052,f417]) ).
fof(f417,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD52) ).
fof(f140052,plain,
perp(sK13,sK5,sK5,sK4),
inference(subsumption_resolution,[],[f140051,f121737]) ).
fof(f121737,plain,
cong(sK5,sK13,sK5,sK13),
inference(unit_resulting_resolution,[],[f105689,f391]) ).
fof(f391,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD68) ).
fof(f105689,plain,
midp(sK5,sK13,sK13),
inference(unit_resulting_resolution,[],[f27363,f27363,f93895,f440]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD64) ).
fof(f93895,plain,
midp(sK5,sK10,sK10),
inference(unit_resulting_resolution,[],[f3239,f88062,f88938,f439]) ).
fof(f88938,plain,
midp(sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f1169,f27977,f88143,f439]) ).
fof(f88143,plain,
midp(sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f88119,f389]) ).
fof(f88119,plain,
midp(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f35522,f3242,f88062,f439]) ).
fof(f3242,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f1941,f1941,f411]) ).
fof(f411,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD3) ).
fof(f1941,plain,
coll(sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f1156,f392]) ).
fof(f392,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD1) ).
fof(f1156,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f796,f828,f411]) ).
fof(f828,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f545,f545,f411]) ).
fof(f545,plain,
coll(sK10,sK11,sK4),
inference(unit_resulting_resolution,[],[f518,f393]) ).
fof(f393,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD2) ).
fof(f518,plain,
coll(sK11,sK10,sK4),
inference(unit_resulting_resolution,[],[f383,f392]) ).
fof(f383,plain,
coll(sK11,sK4,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK12,sK13,sK9,sK4)
& coll(sK13,sK4,sK5)
& perp(sK13,sK10,sK4,sK5)
& coll(sK12,sK5,sK6)
& perp(sK12,sK10,sK5,sK6)
& coll(sK11,sK4,sK10)
& coll(sK11,sK5,sK6)
& circle(sK7,sK4,sK10,sK15)
& eqangle(sK10,sK4,sK4,sK5,sK6,sK4,sK4,sK8)
& coll(sK9,sK4,sK8)
& circle(sK7,sK4,sK9,sK14)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK12,sK13,sK9,sK4)
& coll(sK13,sK4,sK5)
& perp(sK13,sK10,sK4,sK5)
& coll(sK12,sK5,sK6)
& perp(sK12,sK10,sK5,sK6)
& coll(sK11,sK4,sK10)
& coll(sK11,sK5,sK6)
& circle(sK7,sK4,sK10,sK15)
& eqangle(sK10,sK4,sK4,sK5,sK6,sK4,sK4,sK8)
& coll(sK9,sK4,sK8)
& circle(sK7,sK4,sK9,sK14)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X8,X9,X5,X0) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',exemplo6GDDFULL8110997) ).
fof(f796,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f549,f549,f411]) ).
fof(f549,plain,
coll(sK5,sK13,sK4),
inference(unit_resulting_resolution,[],[f520,f393]) ).
fof(f520,plain,
coll(sK13,sK5,sK4),
inference(unit_resulting_resolution,[],[f387,f392]) ).
fof(f387,plain,
coll(sK13,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f35522,plain,
midp(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f1079,f27977,f35439,f439]) ).
fof(f35439,plain,
midp(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f1043,f28023,f35378,f439]) ).
fof(f35378,plain,
midp(sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f35350,f389]) ).
fof(f35350,plain,
midp(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f24992,f800,f28024,f439]) ).
fof(f28024,plain,
para(sK5,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f25528,f25522,f474]) ).
fof(f474,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD9) ).
fof(f25522,plain,
perp(sK8,sK17(sK8,sK8,sK8,sK5),sK8,sK5),
inference(unit_resulting_resolution,[],[f25499,f409]) ).
fof(f409,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD8) ).
fof(f25499,plain,
perp(sK8,sK5,sK8,sK17(sK8,sK8,sK8,sK5)),
inference(unit_resulting_resolution,[],[f25469,f408]) ).
fof(f408,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD7) ).
fof(f25469,plain,
perp(sK8,sK5,sK17(sK8,sK8,sK8,sK5),sK8),
inference(unit_resulting_resolution,[],[f25044,f409]) ).
fof(f25044,plain,
perp(sK17(sK8,sK8,sK8,sK5),sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f24990,f422]) ).
fof(f422,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK17(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK17(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.HcSO9iMjiP/Vampire---4.8_20822',ruleX11) ).
fof(f24990,plain,
circle(sK5,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f24970,f24970,f414]) ).
fof(f414,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD12) ).
fof(f24970,plain,
cong(sK5,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f506,f24959,f417]) ).
fof(f24959,plain,
perp(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f24944,f408]) ).
fof(f24944,plain,
perp(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f24937,f409]) ).
fof(f24937,plain,
perp(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f510,f24932,f412]) ).
fof(f412,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD53) ).
fof(f24932,plain,
circle(sK8,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f658,f658,f414]) ).
fof(f658,plain,
cong(sK8,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f377,f391]) ).
fof(f377,plain,
midp(sK8,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f510,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f377,f390]) ).
fof(f390,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD69) ).
fof(f506,plain,
midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f389]) ).
fof(f25528,plain,
perp(sK5,sK8,sK8,sK17(sK8,sK8,sK8,sK5)),
inference(unit_resulting_resolution,[],[f25503,f408]) ).
fof(f25503,plain,
perp(sK5,sK8,sK17(sK8,sK8,sK8,sK5),sK8),
inference(unit_resulting_resolution,[],[f25470,f409]) ).
fof(f25470,plain,
perp(sK17(sK8,sK8,sK8,sK5),sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f25044,f408]) ).
fof(f800,plain,
coll(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f627,f627,f411]) ).
fof(f627,plain,
coll(sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f539,f392]) ).
fof(f539,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f511,f393]) ).
fof(f511,plain,
coll(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f506,f390]) ).
fof(f24992,plain,
midp(sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f1201,f24970,f396]) ).
fof(f396,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD67) ).
fof(f1201,plain,
coll(sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f916,f938,f411]) ).
fof(f938,plain,
coll(sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f795,f824,f411]) ).
fof(f824,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f510,f510,f411]) ).
fof(f795,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f548,f548,f411]) ).
fof(f548,plain,
coll(sK4,sK13,sK5),
inference(unit_resulting_resolution,[],[f387,f393]) ).
fof(f916,plain,
coll(sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f792,f392]) ).
fof(f792,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f540,f540,f411]) ).
fof(f540,plain,
coll(sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f379,f393]) ).
fof(f379,plain,
coll(sK9,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f28023,plain,
para(sK8,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f25499,f25522,f474]) ).
fof(f1043,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f907,f907,f411]) ).
fof(f907,plain,
coll(sK5,sK13,sK5),
inference(unit_resulting_resolution,[],[f836,f392]) ).
fof(f836,plain,
coll(sK5,sK5,sK13),
inference(unit_resulting_resolution,[],[f387,f387,f411]) ).
fof(f1079,plain,
coll(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f796,f392]) ).
fof(f27977,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f731,f750,f474]) ).
fof(f750,plain,
perp(sK10,sK13,sK5,sK4),
inference(unit_resulting_resolution,[],[f731,f409]) ).
fof(f731,plain,
perp(sK5,sK4,sK10,sK13),
inference(unit_resulting_resolution,[],[f709,f408]) ).
fof(f709,plain,
perp(sK5,sK4,sK13,sK10),
inference(unit_resulting_resolution,[],[f696,f409]) ).
fof(f696,plain,
perp(sK13,sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f386,f408]) ).
fof(f386,plain,
perp(sK13,sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1169,plain,
coll(sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f828,f392]) ).
fof(f88062,plain,
para(sK4,sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f88030,f404]) ).
fof(f404,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD4) ).
fof(f88030,plain,
para(sK4,sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f88026,f405]) ).
fof(f405,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD5) ).
fof(f88026,plain,
para(sK10,sK4,sK4,sK5),
inference(subsumption_resolution,[],[f88019,f41213]) ).
fof(f41213,plain,
para(sK6,sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f35781,f40719,f437]) ).
fof(f40719,plain,
midp(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f40132,f389]) ).
fof(f40132,plain,
midp(sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f1152,f27977,f39775,f439]) ).
fof(f39775,plain,
midp(sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f39747,f389]) ).
fof(f39747,plain,
midp(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f25099,f824,f28027,f439]) ).
fof(f28027,plain,
para(sK8,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f25499,f25607,f474]) ).
fof(f25607,plain,
perp(sK8,sK17(sK8,sK8,sK8,sK5),sK5,sK8),
inference(unit_resulting_resolution,[],[f25522,f408]) ).
fof(f25099,plain,
midp(sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f1238,f25065,f396]) ).
fof(f25065,plain,
cong(sK8,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f25040,f406]) ).
fof(f406,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD23) ).
fof(f25040,plain,
cong(sK8,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f24988,f407]) ).
fof(f407,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD24) ).
fof(f24988,plain,
cong(sK5,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f24970,f406]) ).
fof(f1238,plain,
coll(sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f945,f393]) ).
fof(f945,plain,
coll(sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f824,f392]) ).
fof(f1152,plain,
coll(sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f825,f392]) ).
fof(f825,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f541,f541,f411]) ).
fof(f541,plain,
coll(sK8,sK9,sK4),
inference(unit_resulting_resolution,[],[f516,f393]) ).
fof(f516,plain,
coll(sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f379,f392]) ).
fof(f35781,plain,
midp(sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f3121,f27977,f35570,f439]) ).
fof(f35570,plain,
midp(sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f1126,f28023,f35458,f439]) ).
fof(f35458,plain,
midp(sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f35399,f389]) ).
fof(f35399,plain,
midp(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f813,f25083,f35350,f439]) ).
fof(f25083,plain,
para(sK8,sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f25033,f405]) ).
fof(f25033,plain,
para(sK5,sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f24992,f25020,f438]) ).
fof(f438,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD44) ).
fof(f25020,plain,
midp(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f1576,f24977,f396]) ).
fof(f24977,plain,
cong(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f377,f24964,f417]) ).
fof(f24964,plain,
perp(sK6,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f24951,f408]) ).
fof(f24951,plain,
perp(sK6,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f24941,f409]) ).
fof(f24941,plain,
perp(sK5,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f511,f24933,f412]) ).
fof(f24933,plain,
circle(sK8,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f659,f659,f414]) ).
fof(f659,plain,
cong(sK8,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f506,f391]) ).
fof(f1576,plain,
coll(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f1007,f813,f411]) ).
fof(f1007,plain,
coll(sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f877,f877,f411]) ).
fof(f877,plain,
coll(sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f826,f392]) ).
fof(f826,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f379,f379,f411]) ).
fof(f813,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f583,f583,f411]) ).
fof(f583,plain,
coll(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f538,f392]) ).
fof(f538,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f510,f393]) ).
fof(f1126,plain,
coll(sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f812,f392]) ).
fof(f812,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f547,f547,f411]) ).
fof(f547,plain,
coll(sK6,sK12,sK5),
inference(unit_resulting_resolution,[],[f519,f393]) ).
fof(f519,plain,
coll(sK12,sK6,sK5),
inference(unit_resulting_resolution,[],[f385,f392]) ).
fof(f385,plain,
coll(sK12,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3121,plain,
coll(sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f1079,f1834,f411]) ).
fof(f1834,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f1119,f392]) ).
fof(f1119,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f795,f812,f411]) ).
fof(f88019,plain,
( ~ para(sK6,sK4,sK4,sK8)
| para(sK10,sK4,sK4,sK5) ),
inference(resolution,[],[f500,f380]) ).
fof(f380,plain,
eqangle(sK10,sK4,sK4,sK5,sK6,sK4,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
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.HcSO9iMjiP/Vampire---4.8_20822',ruleD73) ).
fof(f3239,plain,
coll(sK5,sK10,sK10),
inference(unit_resulting_resolution,[],[f925,f1941,f411]) ).
fof(f925,plain,
coll(sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f794,f392]) ).
fof(f794,plain,
coll(sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f542,f542,f411]) ).
fof(f542,plain,
coll(sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f383,f393]) ).
fof(f27363,plain,
para(sK10,sK13,sK10,sK13),
inference(unit_resulting_resolution,[],[f740,f721,f474]) ).
fof(f721,plain,
perp(sK4,sK5,sK10,sK13),
inference(unit_resulting_resolution,[],[f708,f408]) ).
fof(f708,plain,
perp(sK4,sK5,sK13,sK10),
inference(unit_resulting_resolution,[],[f386,f409]) ).
fof(f740,plain,
perp(sK10,sK13,sK4,sK5),
inference(unit_resulting_resolution,[],[f721,f409]) ).
fof(f140051,plain,
( perp(sK13,sK5,sK5,sK4)
| ~ cong(sK5,sK13,sK5,sK13) ),
inference(subsumption_resolution,[],[f138576,f36032]) ).
fof(f36032,plain,
cong(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f35806,f391]) ).
fof(f138576,plain,
( perp(sK13,sK5,sK5,sK4)
| ~ cong(sK5,sK4,sK5,sK4)
| ~ cong(sK5,sK13,sK5,sK13) ),
inference(resolution,[],[f415,f52992]) ).
fof(f52992,plain,
cyclic(sK5,sK5,sK13,sK4),
inference(unit_resulting_resolution,[],[f52421,f52564,f445]) ).
fof(f445,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD17) ).
fof(f52564,plain,
cyclic(sK6,sK5,sK5,sK13),
inference(unit_resulting_resolution,[],[f52288,f401]) ).
fof(f401,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD14) ).
fof(f52288,plain,
cyclic(sK6,sK5,sK13,sK5),
inference(unit_resulting_resolution,[],[f52138,f402]) ).
fof(f402,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD15) ).
fof(f52138,plain,
cyclic(sK6,sK13,sK5,sK5),
inference(unit_resulting_resolution,[],[f836,f18893,f419]) ).
fof(f419,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD42b) ).
fof(f18893,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f11568,f458]) ).
fof(f458,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD40) ).
fof(f11568,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f4969,f404]) ).
fof(f4969,plain,
para(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f506,f377,f437]) ).
fof(f52421,plain,
cyclic(sK6,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f52222,f401]) ).
fof(f52222,plain,
cyclic(sK6,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f52129,f402]) ).
fof(f52129,plain,
cyclic(sK6,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f795,f18893,f419]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| perp(X2,X0,X0,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD57) ).
fof(f98023,plain,
midp(sK4,sK13,sK4),
inference(unit_resulting_resolution,[],[f1000,f27977,f90163,f439]) ).
fof(f90163,plain,
midp(sK5,sK13,sK5),
inference(unit_resulting_resolution,[],[f88222,f389]) ).
fof(f88222,plain,
midp(sK5,sK5,sK13),
inference(unit_resulting_resolution,[],[f836,f45757,f88119,f439]) ).
fof(f45757,plain,
para(sK5,sK5,sK10,sK13),
inference(unit_resulting_resolution,[],[f25112,f38943,f471]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| para(X0,X1,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD6) ).
fof(f38943,plain,
para(sK5,sK6,sK10,sK13),
inference(unit_resulting_resolution,[],[f35023,f405]) ).
fof(f35023,plain,
para(sK10,sK13,sK5,sK6),
inference(unit_resulting_resolution,[],[f740,f28590,f474]) ).
fof(f28590,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f28467,f412]) ).
fof(f28467,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f28407,f392]) ).
fof(f28407,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f3084,f28383,f411]) ).
fof(f28383,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f28376,f28376,f411]) ).
fof(f28376,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f28351,f28351,f411]) ).
fof(f28351,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f27984,f394]) ).
fof(f394,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD66) ).
fof(f27984,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f24825,f24854,f474]) ).
fof(f24854,plain,
perp(sK4,sK17(sK4,sK10,sK15,sK7),sK4,sK7),
inference(unit_resulting_resolution,[],[f24825,f409]) ).
fof(f24825,plain,
perp(sK4,sK7,sK4,sK17(sK4,sK10,sK15,sK7)),
inference(unit_resulting_resolution,[],[f24792,f408]) ).
fof(f24792,plain,
perp(sK4,sK7,sK17(sK4,sK10,sK15,sK7),sK4),
inference(unit_resulting_resolution,[],[f17730,f409]) ).
fof(f17730,plain,
perp(sK17(sK4,sK10,sK15,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f381,f422]) ).
fof(f381,plain,
circle(sK7,sK4,sK10,sK15),
inference(cnf_transformation,[],[f330]) ).
fof(f3084,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f1820,f1820,f411]) ).
fof(f1820,plain,
coll(sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f1113,f392]) ).
fof(f1113,plain,
coll(sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f795,f812,f411]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f25112,plain,
para(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f506,f25099,f437]) ).
fof(f1000,plain,
coll(sK4,sK13,sK4),
inference(unit_resulting_resolution,[],[f837,f392]) ).
fof(f837,plain,
coll(sK4,sK4,sK13),
inference(unit_resulting_resolution,[],[f520,f520,f411]) ).
fof(f230876,plain,
( perp(sK4,sK13,sK13,sK12)
| ~ cong(sK13,sK4,sK5,sK4) ),
inference(subsumption_resolution,[],[f230872,f219300]) ).
fof(f219300,plain,
cong(sK13,sK12,sK5,sK12),
inference(unit_resulting_resolution,[],[f185535,f140052,f417]) ).
fof(f185535,plain,
midp(sK12,sK13,sK4),
inference(unit_resulting_resolution,[],[f2320,f45197,f148141,f439]) ).
fof(f148141,plain,
midp(sK10,sK13,sK5),
inference(unit_resulting_resolution,[],[f98023,f3307,f88117,f439]) ).
fof(f88117,plain,
para(sK4,sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f88062,f405]) ).
fof(f3307,plain,
coll(sK10,sK13,sK5),
inference(unit_resulting_resolution,[],[f603,f1969,f411]) ).
fof(f1969,plain,
coll(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f1162,f392]) ).
fof(f1162,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f796,f828,f411]) ).
fof(f603,plain,
coll(sK5,sK4,sK13),
inference(unit_resulting_resolution,[],[f549,f392]) ).
fof(f45197,plain,
para(sK10,sK12,sK5,sK4),
inference(unit_resulting_resolution,[],[f27978,f38844,f471]) ).
fof(f38844,plain,
para(sK10,sK12,sK4,sK5),
inference(unit_resulting_resolution,[],[f35020,f405]) ).
fof(f35020,plain,
para(sK4,sK5,sK10,sK12),
inference(unit_resulting_resolution,[],[f717,f28590,f474]) ).
fof(f717,plain,
perp(sK5,sK6,sK10,sK12),
inference(unit_resulting_resolution,[],[f706,f408]) ).
fof(f706,plain,
perp(sK5,sK6,sK12,sK10),
inference(unit_resulting_resolution,[],[f384,f409]) ).
fof(f384,plain,
perp(sK12,sK10,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f27978,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f721,f750,f474]) ).
fof(f2320,plain,
coll(sK12,sK13,sK4),
inference(unit_resulting_resolution,[],[f579,f1335,f411]) ).
fof(f1335,plain,
coll(sK4,sK5,sK12),
inference(unit_resulting_resolution,[],[f983,f392]) ).
fof(f983,plain,
coll(sK4,sK12,sK5),
inference(unit_resulting_resolution,[],[f795,f835,f411]) ).
fof(f835,plain,
coll(sK5,sK5,sK12),
inference(unit_resulting_resolution,[],[f519,f519,f411]) ).
fof(f579,plain,
coll(sK4,sK5,sK13),
inference(unit_resulting_resolution,[],[f548,f392]) ).
fof(f230872,plain,
( perp(sK4,sK13,sK13,sK12)
| ~ cong(sK13,sK12,sK5,sK12)
| ~ cong(sK13,sK4,sK5,sK4) ),
inference(resolution,[],[f64717,f415]) ).
fof(f64717,plain,
cyclic(sK13,sK5,sK4,sK12),
inference(unit_resulting_resolution,[],[f54565,f400]) ).
fof(f400,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.HcSO9iMjiP/Vampire---4.8_20822',ruleD16) ).
fof(f54565,plain,
cyclic(sK5,sK13,sK4,sK12),
inference(unit_resulting_resolution,[],[f52992,f52997,f445]) ).
fof(f52997,plain,
cyclic(sK5,sK5,sK13,sK12),
inference(unit_resulting_resolution,[],[f52531,f52564,f445]) ).
fof(f52531,plain,
cyclic(sK6,sK5,sK5,sK12),
inference(unit_resulting_resolution,[],[f52277,f401]) ).
fof(f52277,plain,
cyclic(sK6,sK5,sK12,sK5),
inference(unit_resulting_resolution,[],[f52137,f402]) ).
fof(f52137,plain,
cyclic(sK6,sK12,sK5,sK5),
inference(unit_resulting_resolution,[],[f835,f18893,f419]) ).
fof(f725,plain,
~ perp(sK4,sK9,sK13,sK12),
inference(unit_resulting_resolution,[],[f705,f408]) ).
fof(f705,plain,
~ perp(sK4,sK9,sK12,sK13),
inference(unit_resulting_resolution,[],[f694,f409]) ).
fof(f694,plain,
~ perp(sK12,sK13,sK4,sK9),
inference(unit_resulting_resolution,[],[f388,f408]) ).
fof(f388,plain,
~ perp(sK12,sK13,sK9,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f35806,plain,
midp(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f1311,f27978,f35585,f439]) ).
fof(f35585,plain,
midp(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f35522,f389]) ).
fof(f1311,plain,
coll(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f960,f974,f411]) ).
fof(f974,plain,
coll(sK4,sK11,sK4),
inference(unit_resulting_resolution,[],[f833,f392]) ).
fof(f833,plain,
coll(sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f518,f518,f411]) ).
fof(f960,plain,
coll(sK4,sK11,sK5),
inference(unit_resulting_resolution,[],[f795,f832,f411]) ).
fof(f832,plain,
coll(sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f517,f517,f411]) ).
fof(f517,plain,
coll(sK11,sK6,sK5),
inference(unit_resulting_resolution,[],[f382,f392]) ).
fof(f382,plain,
coll(sK11,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f2367,plain,
coll(sK5,sK9,sK13),
inference(unit_resulting_resolution,[],[f387,f1358,f411]) ).
fof(f1358,plain,
coll(sK13,sK4,sK9),
inference(unit_resulting_resolution,[],[f993,f392]) ).
fof(f993,plain,
coll(sK13,sK9,sK4),
inference(unit_resulting_resolution,[],[f827,f837,f411]) ).
fof(f827,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f516,f516,f411]) ).
fof(f45758,plain,
para(sK4,sK5,sK10,sK13),
inference(unit_resulting_resolution,[],[f35016,f38943,f471]) ).
fof(f35016,plain,
para(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f25277,f28590,f474]) ).
fof(f25277,plain,
perp(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f25185,f408]) ).
fof(f25185,plain,
perp(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f1238,f25096,f412]) ).
fof(f25096,plain,
circle(sK8,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f659,f25065,f414]) ).
fof(f3271,plain,
coll(sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f1310,f1955,f411]) ).
fof(f1310,plain,
coll(sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f542,f974,f411]) ).
fof(f88129,plain,
para(sK10,sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f88026,f88062,f471]) ).
fof(f1955,plain,
coll(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f1158,f392]) ).
fof(f1158,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f827,f828,f411]) ).
fof(f156307,plain,
midp(sK13,sK4,sK8),
inference(unit_resulting_resolution,[],[f148787,f389]) ).
fof(f148787,plain,
midp(sK13,sK8,sK4),
inference(unit_resulting_resolution,[],[f1150,f46176,f148138,f439]) ).
fof(f148138,plain,
midp(sK10,sK8,sK5),
inference(unit_resulting_resolution,[],[f40132,f3303,f88117,f439]) ).
fof(f3303,plain,
coll(sK10,sK8,sK5),
inference(unit_resulting_resolution,[],[f1889,f1969,f411]) ).
fof(f1889,plain,
coll(sK5,sK4,sK8),
inference(unit_resulting_resolution,[],[f940,f1145,f411]) ).
fof(f1145,plain,
coll(sK8,sK13,sK4),
inference(unit_resulting_resolution,[],[f837,f825,f411]) ).
fof(f940,plain,
coll(sK8,sK13,sK5),
inference(unit_resulting_resolution,[],[f836,f824,f411]) ).
fof(f46176,plain,
para(sK10,sK13,sK5,sK4),
inference(unit_resulting_resolution,[],[f38955,f38988,f474]) ).
fof(f38988,plain,
perp(sK5,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f35024,f409]) ).
fof(f35024,plain,
perp(sK5,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f27975,f28590,f472]) ).
fof(f27975,plain,
para(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f731,f740,f474]) ).
fof(f38955,plain,
perp(sK10,sK13,sK5,sK6),
inference(unit_resulting_resolution,[],[f25277,f35023,f472]) ).
fof(f1150,plain,
coll(sK13,sK8,sK4),
inference(unit_resulting_resolution,[],[f837,f825,f411]) ).
fof(f1079062,plain,
para(sK13,sK10,sK8,sK9),
inference(unit_resulting_resolution,[],[f610834,f624165,f474]) ).
fof(f624165,plain,
perp(sK10,sK8,sK8,sK9),
inference(subsumption_resolution,[],[f624164,f130496]) ).
fof(f130496,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f119540,f391]) ).
fof(f119540,plain,
midp(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f3253,f46680,f105684,f439]) ).
fof(f105684,plain,
midp(sK6,sK10,sK12),
inference(unit_resulting_resolution,[],[f9605,f27901,f93895,f439]) ).
fof(f27901,plain,
para(sK5,sK6,sK10,sK12),
inference(unit_resulting_resolution,[],[f25318,f26330,f474]) ).
fof(f26330,plain,
perp(sK8,sK8,sK10,sK12),
inference(unit_resulting_resolution,[],[f25083,f717,f472]) ).
fof(f25318,plain,
perp(sK5,sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f679,f679,f416]) ).
fof(f416,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD56) ).
fof(f679,plain,
cong(sK5,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f672,f406]) ).
fof(f672,plain,
cong(sK5,sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f662,f407]) ).
fof(f662,plain,
cong(sK8,sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f658,f406]) ).
fof(f9605,plain,
coll(sK6,sK10,sK12),
inference(unit_resulting_resolution,[],[f818,f5817,f411]) ).
fof(f5817,plain,
coll(sK12,sK11,sK10),
inference(unit_resulting_resolution,[],[f2911,f392]) ).
fof(f2911,plain,
coll(sK12,sK10,sK11),
inference(unit_resulting_resolution,[],[f829,f1787,f411]) ).
fof(f1787,plain,
coll(sK11,sK11,sK12),
inference(unit_resulting_resolution,[],[f1095,f1095,f411]) ).
fof(f1095,plain,
coll(sK12,sK5,sK11),
inference(unit_resulting_resolution,[],[f805,f392]) ).
fof(f805,plain,
coll(sK12,sK11,sK5),
inference(unit_resulting_resolution,[],[f575,f571,f411]) ).
fof(f571,plain,
coll(sK5,sK6,sK11),
inference(unit_resulting_resolution,[],[f543,f392]) ).
fof(f543,plain,
coll(sK5,sK11,sK6),
inference(unit_resulting_resolution,[],[f382,f393]) ).
fof(f575,plain,
coll(sK5,sK6,sK12),
inference(unit_resulting_resolution,[],[f546,f392]) ).
fof(f546,plain,
coll(sK5,sK12,sK6),
inference(unit_resulting_resolution,[],[f385,f393]) ).
fof(f829,plain,
coll(sK11,sK11,sK10),
inference(unit_resulting_resolution,[],[f595,f595,f411]) ).
fof(f595,plain,
coll(sK10,sK4,sK11),
inference(unit_resulting_resolution,[],[f545,f392]) ).
fof(f818,plain,
coll(sK12,sK11,sK6),
inference(unit_resulting_resolution,[],[f599,f591,f411]) ).
fof(f591,plain,
coll(sK6,sK5,sK11),
inference(unit_resulting_resolution,[],[f544,f392]) ).
fof(f544,plain,
coll(sK6,sK11,sK5),
inference(unit_resulting_resolution,[],[f517,f393]) ).
fof(f599,plain,
coll(sK6,sK5,sK12),
inference(unit_resulting_resolution,[],[f547,f392]) ).
fof(f46680,plain,
para(sK6,sK8,sK12,sK10),
inference(unit_resulting_resolution,[],[f27907,f35387,f471]) ).
fof(f35387,plain,
para(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f377,f35350,f437]) ).
fof(f27907,plain,
para(sK5,sK5,sK12,sK10),
inference(unit_resulting_resolution,[],[f25319,f26335,f474]) ).
fof(f26335,plain,
perp(sK8,sK8,sK12,sK10),
inference(unit_resulting_resolution,[],[f25083,f706,f472]) ).
fof(f25319,plain,
perp(sK5,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f24970,f24970,f416]) ).
fof(f3253,plain,
coll(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f925,f1948,f411]) ).
fof(f1948,plain,
coll(sK10,sK4,sK8),
inference(unit_resulting_resolution,[],[f1157,f392]) ).
fof(f1157,plain,
coll(sK10,sK8,sK4),
inference(unit_resulting_resolution,[],[f825,f828,f411]) ).
fof(f624164,plain,
( perp(sK10,sK8,sK8,sK9)
| ~ cong(sK8,sK10,sK8,sK10) ),
inference(subsumption_resolution,[],[f624160,f583557]) ).
fof(f583557,plain,
cong(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f52154,f52154,f25049,f501613,f470]) ).
fof(f470,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/sandbox2/tmp/tmp.HcSO9iMjiP/Vampire---4.8_20822',ruleD43) ).
fof(f501613,plain,
cyclic(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f67361,f67370,f445]) ).
fof(f67370,plain,
cyclic(sK5,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f56627,f56627,f445]) ).
fof(f56627,plain,
cyclic(sK5,sK5,sK8,sK9),
inference(unit_resulting_resolution,[],[f52465,f53148,f445]) ).
fof(f53148,plain,
cyclic(sK6,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f52607,f401]) ).
fof(f52607,plain,
cyclic(sK6,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f52134,f402]) ).
fof(f52134,plain,
cyclic(sK6,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f2874,f18893,f419]) ).
fof(f2874,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f1725,f1725,f411]) ).
fof(f1725,plain,
coll(sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f1075,f392]) ).
fof(f1075,plain,
coll(sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f827,f796,f411]) ).
fof(f52465,plain,
cyclic(sK6,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f52255,f401]) ).
fof(f52255,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f52133,f402]) ).
fof(f52133,plain,
cyclic(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f824,f18893,f419]) ).
fof(f67361,plain,
cyclic(sK5,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f52825,f56627,f445]) ).
fof(f52825,plain,
cyclic(sK5,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f52465,f52465,f445]) ).
fof(f25049,plain,
! [X0,X1] : eqangle(sK8,sK8,X0,X1,sK8,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f25002,f458]) ).
fof(f25002,plain,
para(sK8,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f24992,f24992,f437]) ).
fof(f52154,plain,
cyclic(sK8,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f826,f25049,f419]) ).
fof(f624160,plain,
( perp(sK10,sK8,sK8,sK9)
| ~ cong(sK8,sK9,sK8,sK9)
| ~ cong(sK8,sK10,sK8,sK10) ),
inference(resolution,[],[f510283,f415]) ).
fof(f510283,plain,
cyclic(sK8,sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f67369,f67791,f445]) ).
fof(f67791,plain,
cyclic(sK5,sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f52825,f56679,f445]) ).
fof(f56679,plain,
cyclic(sK5,sK5,sK8,sK10),
inference(unit_resulting_resolution,[],[f52465,f53181,f445]) ).
fof(f53181,plain,
cyclic(sK6,sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f52618,f401]) ).
fof(f52618,plain,
cyclic(sK6,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f52135,f402]) ).
fof(f52135,plain,
cyclic(sK6,sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f3242,f18893,f419]) ).
fof(f67369,plain,
cyclic(sK5,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f52825,f56627,f445]) ).
fof(f610834,plain,
perp(sK13,sK10,sK10,sK8),
inference(subsumption_resolution,[],[f610833,f524220]) ).
fof(f524220,plain,
cong(sK10,sK13,sK5,sK13),
inference(unit_resulting_resolution,[],[f174327,f140047,f417]) ).
fof(f140047,plain,
perp(sK10,sK5,sK5,sK4),
inference(subsumption_resolution,[],[f140046,f105578]) ).
fof(f105578,plain,
cong(sK5,sK10,sK5,sK10),
inference(unit_resulting_resolution,[],[f93895,f391]) ).
fof(f140046,plain,
( perp(sK10,sK5,sK5,sK4)
| ~ cong(sK5,sK10,sK5,sK10) ),
inference(subsumption_resolution,[],[f138573,f36032]) ).
fof(f138573,plain,
( perp(sK10,sK5,sK5,sK4)
| ~ cong(sK5,sK4,sK5,sK4)
| ~ cong(sK5,sK10,sK5,sK10) ),
inference(resolution,[],[f415,f56667]) ).
fof(f56667,plain,
cyclic(sK5,sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f52421,f53181,f445]) ).
fof(f174327,plain,
midp(sK13,sK10,sK4),
inference(unit_resulting_resolution,[],[f1167,f46176,f148139,f439]) ).
fof(f148139,plain,
midp(sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f88938,f3312,f88117,f439]) ).
fof(f3312,plain,
coll(sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f1969,f1969,f411]) ).
fof(f1167,plain,
coll(sK13,sK10,sK4),
inference(unit_resulting_resolution,[],[f837,f828,f411]) ).
fof(f610833,plain,
( perp(sK13,sK10,sK10,sK8)
| ~ cong(sK10,sK13,sK5,sK13) ),
inference(subsumption_resolution,[],[f610828,f524217]) ).
fof(f524217,plain,
cong(sK10,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f127452,f140047,f417]) ).
fof(f127452,plain,
midp(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f115589,f389]) ).
fof(f115589,plain,
midp(sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f1976,f46680,f101711,f439]) ).
fof(f101711,plain,
midp(sK6,sK4,sK12),
inference(unit_resulting_resolution,[],[f2292,f27901,f88118,f439]) ).
fof(f88118,plain,
midp(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f36223,f1969,f88062,f439]) ).
fof(f36223,plain,
midp(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f1246,f27977,f36163,f439]) ).
fof(f36163,plain,
midp(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f35585,f934,f35015,f439]) ).
fof(f35015,plain,
para(sK4,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f24968,f28590,f474]) ).
fof(f24968,plain,
perp(sK5,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f24959,f409]) ).
fof(f934,plain,
coll(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f795,f392]) ).
fof(f1246,plain,
coll(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f952,f952,f411]) ).
fof(f952,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f827,f392]) ).
fof(f2292,plain,
coll(sK6,sK4,sK12),
inference(unit_resulting_resolution,[],[f385,f1321,f411]) ).
fof(f1321,plain,
coll(sK12,sK5,sK4),
inference(unit_resulting_resolution,[],[f978,f392]) ).
fof(f978,plain,
coll(sK12,sK4,sK5),
inference(unit_resulting_resolution,[],[f795,f835,f411]) ).
fof(f1976,plain,
coll(sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f1163,f392]) ).
fof(f1163,plain,
coll(sK8,sK10,sK4),
inference(unit_resulting_resolution,[],[f825,f828,f411]) ).
fof(f610828,plain,
( perp(sK13,sK10,sK10,sK8)
| ~ cong(sK10,sK8,sK5,sK8)
| ~ cong(sK10,sK13,sK5,sK13) ),
inference(resolution,[],[f506792,f415]) ).
fof(f506792,plain,
cyclic(sK10,sK5,sK13,sK8),
inference(unit_resulting_resolution,[],[f67678,f400]) ).
fof(f67678,plain,
cyclic(sK5,sK10,sK13,sK8),
inference(unit_resulting_resolution,[],[f56670,f56675,f445]) ).
fof(f56675,plain,
cyclic(sK5,sK5,sK10,sK13),
inference(unit_resulting_resolution,[],[f52564,f53181,f445]) ).
fof(f56670,plain,
cyclic(sK5,sK5,sK10,sK8),
inference(unit_resulting_resolution,[],[f52465,f53181,f445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO634+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
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 18:06:59 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.23/0.42 % (21075)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (21093)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (21090)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (21091)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (21092)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)
% 0.23/0.43 % (21094)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)
% 0.23/0.43 % (21096)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)
% 0.23/0.43 % (21095)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)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.50 TRYING [3]
% 0.23/0.51 TRYING [1]
% 0.23/0.54 TRYING [2]
% 4.16/1.02 TRYING [1]
% 4.16/1.02 TRYING [2]
% 4.56/1.06 TRYING [3]
% 4.94/1.21 TRYING [3]
% 55.45/8.31 TRYING [4]
% 71.78/10.62 TRYING [4]
% 92.82/13.63 % (21096)First to succeed.
% 92.99/13.68 % (21096)Refutation found. Thanks to Tanya!
% 92.99/13.68 % SZS status Theorem for Vampire---4
% 92.99/13.68 % SZS output start Proof for Vampire---4
% See solution above
% 92.99/13.68 % (21096)------------------------------
% 92.99/13.68 % (21096)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 92.99/13.68 % (21096)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 92.99/13.68 % (21096)Termination reason: Refutation
% 92.99/13.68
% 92.99/13.68 % (21096)Memory used [KB]: 630437
% 92.99/13.68 % (21096)Time elapsed: 13.196 s
% 92.99/13.68 % (21096)------------------------------
% 92.99/13.68 % (21096)------------------------------
% 92.99/13.68 % (21075)Success in time 13.235 s
% 92.99/13.68 % Vampire---4.8 exiting
%------------------------------------------------------------------------------