TSTP Solution File: GEO573+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 11:24:24 EDT 2024
% Result : Theorem 37.99s 5.79s
% Output : Refutation 37.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 174 ( 99 unt; 0 def)
% Number of atoms : 366 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 280 ( 88 ~; 77 |; 87 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 350 ( 323 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264429,plain,
$false,
inference(subsumption_resolution,[],[f264409,f210763]) ).
fof(f210763,plain,
~ para(sK6,sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f2168,f624,f210666,f436]) ).
fof(f436,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/benchmark/theBenchmark.p',ruleD45) ).
fof(f210666,plain,
midp(sK6,sK11,sK11),
inference(unit_resulting_resolution,[],[f1692,f93099,f393]) ).
fof(f393,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/benchmark/theBenchmark.p',ruleD67) ).
fof(f93099,plain,
cong(sK6,sK11,sK6,sK11),
inference(unit_resulting_resolution,[],[f20919,f28846,f18311,f13642,f467]) ).
fof(f467,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/benchmark/theBenchmark.p',ruleD43) ).
fof(f13642,plain,
! [X0,X1] : eqangle(sK8,sK6,X0,X1,sK8,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f10098,f455]) ).
fof(f455,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/benchmark/theBenchmark.p',ruleD40) ).
fof(f10098,plain,
para(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f643,f653,f471]) ).
fof(f471,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/benchmark/theBenchmark.p',ruleD9) ).
fof(f653,plain,
perp(sK5,sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f643,f406]) ).
fof(f406,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/benchmark/theBenchmark.p',ruleD8) ).
fof(f643,plain,
perp(sK8,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f405]) ).
fof(f405,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/benchmark/theBenchmark.p',ruleD7) ).
fof(f377,plain,
perp(sK8,sK6,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK4,sK10,sK4,sK11)
& coll(sK11,sK5,sK9)
& coll(sK11,sK6,sK8)
& coll(sK10,sK6,sK8)
& circle(sK7,sK6,sK10,sK12)
& coll(sK9,sK4,sK6)
& perp(sK9,sK5,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ),
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] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ cong(sK4,sK10,sK4,sK11)
& coll(sK11,sK5,sK9)
& coll(sK11,sK6,sK8)
& coll(sK10,sK6,sK8)
& circle(sK7,sK6,sK10,sK12)
& coll(sK9,sK4,sK6)
& perp(sK9,sK5,sK4,sK6)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cong(X0,X6,X0,X7) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X13,X19] :
( ( coll(X13,X1,X4)
& coll(X13,X2,X3)
& coll(X18,X2,X3)
& circle(X7,X2,X18,X19)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cong(X0,X18,X0,X13) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X13,X19] :
( ( coll(X13,X1,X4)
& coll(X13,X2,X3)
& coll(X18,X2,X3)
& circle(X7,X2,X18,X19)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cong(X0,X18,X0,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
fof(f18311,plain,
cyclic(sK6,sK11,sK8,sK8),
inference(unit_resulting_resolution,[],[f721,f13642,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f721,plain,
coll(sK8,sK8,sK11),
inference(unit_resulting_resolution,[],[f383,f383,f408]) ).
fof(f408,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/benchmark/theBenchmark.p',ruleD3) ).
fof(f383,plain,
coll(sK11,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f28846,plain,
cyclic(sK6,sK11,sK8,sK11),
inference(unit_resulting_resolution,[],[f23231,f23240,f442]) ).
fof(f442,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/benchmark/theBenchmark.p',ruleD17) ).
fof(f23240,plain,
cyclic(sK6,sK6,sK11,sK11),
inference(unit_resulting_resolution,[],[f20321,f20321,f442]) ).
fof(f20321,plain,
cyclic(sK8,sK6,sK6,sK11),
inference(unit_resulting_resolution,[],[f18902,f398]) ).
fof(f398,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/benchmark/theBenchmark.p',ruleD14) ).
fof(f18902,plain,
cyclic(sK8,sK6,sK11,sK6),
inference(unit_resulting_resolution,[],[f18286,f399]) ).
fof(f399,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/benchmark/theBenchmark.p',ruleD15) ).
fof(f18286,plain,
cyclic(sK8,sK11,sK6,sK6),
inference(unit_resulting_resolution,[],[f730,f13705,f416]) ).
fof(f13705,plain,
! [X0,X1] : eqangle(sK6,sK8,X0,X1,sK6,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f10076,f455]) ).
fof(f10076,plain,
para(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f675,f660,f471]) ).
fof(f660,plain,
perp(sK4,sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f651,f405]) ).
fof(f651,plain,
perp(sK4,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f377,f406]) ).
fof(f675,plain,
perp(sK6,sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f660,f406]) ).
fof(f730,plain,
coll(sK6,sK6,sK11),
inference(unit_resulting_resolution,[],[f506,f506,f408]) ).
fof(f506,plain,
coll(sK11,sK8,sK6),
inference(unit_resulting_resolution,[],[f383,f389]) ).
fof(f389,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/benchmark/theBenchmark.p',ruleD1) ).
fof(f23231,plain,
cyclic(sK6,sK6,sK11,sK8),
inference(unit_resulting_resolution,[],[f19126,f20321,f442]) ).
fof(f19126,plain,
cyclic(sK8,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f18524,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f18524,plain,
cyclic(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f18306,f399]) ).
fof(f18306,plain,
cyclic(sK6,sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f742,f13642,f416]) ).
fof(f742,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f528,f528,f408]) ).
fof(f528,plain,
coll(sK6,sK11,sK8),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f390,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/benchmark/theBenchmark.p',ruleD2) ).
fof(f20919,plain,
cyclic(sK6,sK11,sK8,sK6),
inference(unit_resulting_resolution,[],[f18902,f19203,f442]) ).
fof(f19203,plain,
cyclic(sK8,sK6,sK11,sK8),
inference(unit_resulting_resolution,[],[f18557,f397]) ).
fof(f18557,plain,
cyclic(sK6,sK8,sK11,sK8),
inference(unit_resulting_resolution,[],[f18311,f399]) ).
fof(f1692,plain,
coll(sK6,sK11,sK11),
inference(unit_resulting_resolution,[],[f1005,f390]) ).
fof(f1005,plain,
coll(sK11,sK6,sK11),
inference(unit_resulting_resolution,[],[f734,f389]) ).
fof(f734,plain,
coll(sK11,sK11,sK6),
inference(unit_resulting_resolution,[],[f560,f560,f408]) ).
fof(f560,plain,
coll(sK6,sK8,sK11),
inference(unit_resulting_resolution,[],[f528,f389]) ).
fof(f624,plain,
~ midp(sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f623,f386]) ).
fof(f386,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/benchmark/theBenchmark.p',ruleD11) ).
fof(f623,plain,
~ midp(sK4,sK10,sK11),
inference(unit_resulting_resolution,[],[f385,f388]) ).
fof(f388,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/benchmark/theBenchmark.p',ruleD68) ).
fof(f385,plain,
~ cong(sK4,sK10,sK4,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f2168,plain,
coll(sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f998,f1169,f408]) ).
fof(f1169,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f863,f389]) ).
fof(f863,plain,
coll(sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f729,f735,f408]) ).
fof(f735,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f524,f524,f408]) ).
fof(f524,plain,
coll(sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f380,f390]) ).
fof(f380,plain,
coll(sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f729,plain,
coll(sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f505,f505,f408]) ).
fof(f505,plain,
coll(sK10,sK8,sK6),
inference(unit_resulting_resolution,[],[f382,f389]) ).
fof(f382,plain,
coll(sK10,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f998,plain,
coll(sK10,sK6,sK11),
inference(unit_resulting_resolution,[],[f733,f389]) ).
fof(f733,plain,
coll(sK10,sK11,sK6),
inference(unit_resulting_resolution,[],[f556,f560,f408]) ).
fof(f556,plain,
coll(sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f527,f389]) ).
fof(f527,plain,
coll(sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f382,f390]) ).
fof(f264409,plain,
para(sK6,sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f131980,f135191,f471]) ).
fof(f135191,plain,
perp(sK6,sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f114745,f406]) ).
fof(f114745,plain,
perp(sK8,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f93075,f93073,f413]) ).
fof(f413,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/benchmark/theBenchmark.p',ruleD56) ).
fof(f93073,plain,
cong(sK8,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f20719,f18748,f18279,f13705,f467]) ).
fof(f18279,plain,
cyclic(sK8,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f735,f13705,f416]) ).
fof(f18748,plain,
cyclic(sK8,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f18405,f399]) ).
fof(f18405,plain,
cyclic(sK8,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f18211,f397]) ).
fof(f18211,plain,
cyclic(sK6,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f716,f10168,f416]) ).
fof(f10168,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f10060,f455]) ).
fof(f10060,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f652,f379,f471]) ).
fof(f379,plain,
perp(sK9,sK5,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f652,plain,
perp(sK4,sK6,sK9,sK5),
inference(unit_resulting_resolution,[],[f379,f406]) ).
fof(f716,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f503,f503,f408]) ).
fof(f503,plain,
coll(sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f378,f389]) ).
fof(f378,plain,
coll(sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f20719,plain,
cyclic(sK8,sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f19071,f399]) ).
fof(f19071,plain,
cyclic(sK8,sK6,sK4,sK8),
inference(unit_resulting_resolution,[],[f18502,f397]) ).
fof(f18502,plain,
cyclic(sK6,sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f18304,f399]) ).
fof(f18304,plain,
cyclic(sK6,sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f715,f13642,f416]) ).
fof(f715,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f544,f544,f408]) ).
fof(f544,plain,
coll(sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f523,f389]) ).
fof(f523,plain,
coll(sK4,sK8,sK5),
inference(unit_resulting_resolution,[],[f378,f390]) ).
fof(f93075,plain,
cong(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f19126,f18281,f18281,f13705,f467]) ).
fof(f18281,plain,
cyclic(sK8,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f913,f13705,f416]) ).
fof(f913,plain,
coll(sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f785,f785,f408]) ).
fof(f785,plain,
coll(sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f714,f389]) ).
fof(f714,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f380,f380,f408]) ).
fof(f131980,plain,
perp(sK8,sK8,sK11,sK10),
inference(unit_resulting_resolution,[],[f93078,f93079,f413]) ).
fof(f93079,plain,
cong(sK8,sK11,sK8,sK11),
inference(unit_resulting_resolution,[],[f20924,f24312,f18286,f13705,f467]) ).
fof(f24312,plain,
cyclic(sK8,sK11,sK6,sK11),
inference(unit_resulting_resolution,[],[f20900,f20909,f442]) ).
fof(f20909,plain,
cyclic(sK8,sK8,sK11,sK11),
inference(unit_resulting_resolution,[],[f19202,f19202,f442]) ).
fof(f19202,plain,
cyclic(sK6,sK8,sK8,sK11),
inference(unit_resulting_resolution,[],[f18557,f398]) ).
fof(f20900,plain,
cyclic(sK8,sK8,sK11,sK6),
inference(unit_resulting_resolution,[],[f19125,f19202,f442]) ).
fof(f19125,plain,
cyclic(sK6,sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f18524,f398]) ).
fof(f20924,plain,
cyclic(sK8,sK11,sK6,sK8),
inference(unit_resulting_resolution,[],[f19203,f399]) ).
fof(f93078,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f20866,f24041,f18285,f13705,f467]) ).
fof(f18285,plain,
cyclic(sK8,sK10,sK6,sK6),
inference(unit_resulting_resolution,[],[f729,f13705,f416]) ).
fof(f24041,plain,
cyclic(sK8,sK10,sK6,sK10),
inference(unit_resulting_resolution,[],[f20844,f20851,f442]) ).
fof(f20851,plain,
cyclic(sK8,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f19169,f19169,f442]) ).
fof(f19169,plain,
cyclic(sK6,sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f18546,f398]) ).
fof(f18546,plain,
cyclic(sK6,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f18310,f399]) ).
fof(f18310,plain,
cyclic(sK6,sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f720,f13642,f416]) ).
fof(f720,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f382,f382,f408]) ).
fof(f20844,plain,
cyclic(sK8,sK8,sK10,sK6),
inference(unit_resulting_resolution,[],[f19125,f19169,f442]) ).
fof(f20866,plain,
cyclic(sK8,sK10,sK6,sK8),
inference(unit_resulting_resolution,[],[f19170,f399]) ).
fof(f19170,plain,
cyclic(sK8,sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f18546,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n031.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 06:20:13 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (13740)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (13747)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 theBenchmark for (497ds/0Mi)
% 0.15/0.33 % (13743)WARNING: value z3 for option sas not known
% 0.15/0.33 % (13745)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 theBenchmark for (531ds/0Mi)
% 0.15/0.33 % (13741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (13744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (13746)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 theBenchmark for (522ds/0Mi)
% 0.15/0.33 % (13742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (13743)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 theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.43 TRYING [2]
% 3.58/0.83 TRYING [1]
% 3.58/0.83 TRYING [2]
% 3.77/0.90 TRYING [3]
% 9.65/1.71 TRYING [3]
% 37.99/5.76 % (13747)First to succeed.
% 37.99/5.79 % (13747)Refutation found. Thanks to Tanya!
% 37.99/5.79 % SZS status Theorem for theBenchmark
% 37.99/5.79 % SZS output start Proof for theBenchmark
% See solution above
% 37.99/5.79 % (13747)------------------------------
% 37.99/5.79 % (13747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 37.99/5.79 % (13747)Termination reason: Refutation
% 37.99/5.79
% 37.99/5.79 % (13747)Memory used [KB]: 105956
% 37.99/5.79 % (13747)Time elapsed: 5.449 s
% 37.99/5.79 % (13747)Instructions burned: 11610 (million)
% 37.99/5.79 % (13747)------------------------------
% 37.99/5.79 % (13747)------------------------------
% 37.99/5.79 % (13740)Success in time 5.468 s
%------------------------------------------------------------------------------