TSTP Solution File: GEO611+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO611+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 : n022.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 : Sun May 5 05:33:46 EDT 2024
% Result : Theorem 21.39s 3.45s
% Output : Refutation 21.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 256 ( 165 unt; 0 def)
% Number of atoms : 473 ( 0 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 324 ( 107 ~; 97 |; 85 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 433 ( 399 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207977,plain,
$false,
inference(subsumption_resolution,[],[f207967,f184118]) ).
fof(f184118,plain,
~ para(sK10,sK10,sK10,sK11),
inference(unit_resulting_resolution,[],[f3398,f111710,f181007,f435]) ).
fof(f435,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/benchmark/theBenchmark.p',ruleD45) ).
fof(f181007,plain,
midp(sK10,sK9,sK10),
inference(unit_resulting_resolution,[],[f1229,f10091,f176843,f435]) ).
fof(f176843,plain,
midp(sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f175915,f385]) ).
fof(f385,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/benchmark/theBenchmark.p',ruleD11) ).
fof(f175915,plain,
midp(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f3376,f10094,f175806,f435]) ).
fof(f175806,plain,
midp(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f3405,f92686,f392]) ).
fof(f392,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/benchmark/theBenchmark.p',ruleD67) ).
fof(f92686,plain,
cong(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f20535,f17897,f17897,f10314,f466]) ).
fof(f466,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/benchmark/theBenchmark.p',ruleD43) ).
fof(f10314,plain,
! [X0,X1] : eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f10095,f454]) ).
fof(f454,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/benchmark/theBenchmark.p',ruleD40) ).
fof(f10095,plain,
para(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f622,f607,f470]) ).
fof(f470,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/benchmark/theBenchmark.p',ruleD9) ).
fof(f607,plain,
perp(sK4,sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f598,f404]) ).
fof(f404,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/benchmark/theBenchmark.p',ruleD7) ).
fof(f598,plain,
perp(sK4,sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f378,f405]) ).
fof(f405,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/benchmark/theBenchmark.p',ruleD8) ).
fof(f378,plain,
perp(sK9,sK8,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK10,sK9,sK11,sK6)
& coll(sK11,sK8,sK10)
& circle(sK7,sK8,sK11,sK13)
& coll(sK10,sK4,sK5)
& perp(sK10,sK8,sK4,sK5)
& coll(sK9,sK4,sK6)
& perp(sK9,sK8,sK4,sK6)
& circle(sK7,sK4,sK8,sK12)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X5,X7,X2)
& coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK10,sK9,sK11,sK6)
& coll(sK11,sK8,sK10)
& circle(sK7,sK8,sK11,sK13)
& coll(sK10,sK4,sK5)
& perp(sK10,sK8,sK4,sK5)
& coll(sK9,sK4,sK6)
& perp(sK9,sK8,sK4,sK6)
& circle(sK7,sK4,sK8,sK12)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X5,X7,X2)
& coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X5,X7,X2)
& coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> para(X6,X5,X7,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19] :
( ( coll(X13,X4,X12)
& circle(X3,X4,X13,X19)
& coll(X12,X0,X1)
& perp(X12,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X18)
& circle(X3,X0,X1,X2) )
=> para(X12,X5,X13,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19] :
( ( coll(X13,X4,X12)
& circle(X3,X4,X13,X19)
& coll(X12,X0,X1)
& perp(X12,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X18)
& circle(X3,X0,X1,X2) )
=> para(X12,X5,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618073) ).
fof(f622,plain,
perp(sK8,sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f607,f405]) ).
fof(f17897,plain,
cyclic(sK9,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f907,f10314,f415]) ).
fof(f415,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/benchmark/theBenchmark.p',ruleD42b) ).
fof(f907,plain,
coll(sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f756,f756,f407]) ).
fof(f407,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/benchmark/theBenchmark.p',ruleD3) ).
fof(f756,plain,
coll(sK8,sK11,sK8),
inference(unit_resulting_resolution,[],[f677,f388]) ).
fof(f388,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/benchmark/theBenchmark.p',ruleD1) ).
fof(f677,plain,
coll(sK8,sK8,sK11),
inference(unit_resulting_resolution,[],[f504,f504,f407]) ).
fof(f504,plain,
coll(sK11,sK10,sK8),
inference(unit_resulting_resolution,[],[f383,f388]) ).
fof(f383,plain,
coll(sK11,sK8,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f20535,plain,
cyclic(sK9,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f18124,f18903,f441]) ).
fof(f441,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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f18903,plain,
cyclic(sK4,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f17893,f396]) ).
fof(f396,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/benchmark/theBenchmark.p',ruleD16) ).
fof(f17893,plain,
cyclic(sK9,sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f1395,f10314,f415]) ).
fof(f1395,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f1054,f1054,f407]) ).
fof(f1054,plain,
coll(sK4,sK10,sK8),
inference(unit_resulting_resolution,[],[f797,f388]) ).
fof(f797,plain,
coll(sK4,sK8,sK10),
inference(unit_resulting_resolution,[],[f678,f667,f407]) ).
fof(f667,plain,
coll(sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f531,f531,f407]) ).
fof(f531,plain,
coll(sK4,sK5,sK10),
inference(unit_resulting_resolution,[],[f515,f388]) ).
fof(f515,plain,
coll(sK4,sK10,sK5),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f389,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/benchmark/theBenchmark.p',ruleD2) ).
fof(f381,plain,
coll(sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f678,plain,
coll(sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f518,f518,f407]) ).
fof(f518,plain,
coll(sK8,sK11,sK10),
inference(unit_resulting_resolution,[],[f383,f389]) ).
fof(f18124,plain,
cyclic(sK4,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f17972,f398]) ).
fof(f398,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/benchmark/theBenchmark.p',ruleD15) ).
fof(f17972,plain,
cyclic(sK4,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f17877,f396]) ).
fof(f17877,plain,
cyclic(sK8,sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f669,f10216,f415]) ).
fof(f10216,plain,
! [X0,X1] : eqangle(sK9,sK8,X0,X1,sK9,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f10092,f454]) ).
fof(f10092,plain,
para(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f378,f598,f470]) ).
fof(f669,plain,
coll(sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f527,f527,f407]) ).
fof(f527,plain,
coll(sK4,sK6,sK9),
inference(unit_resulting_resolution,[],[f514,f388]) ).
fof(f514,plain,
coll(sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f379,f389]) ).
fof(f379,plain,
coll(sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3405,plain,
coll(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f850,f2718,f407]) ).
fof(f2718,plain,
coll(sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f1625,f388]) ).
fof(f1625,plain,
coll(sK8,sK9,sK10),
inference(unit_resulting_resolution,[],[f678,f1216,f407]) ).
fof(f1216,plain,
coll(sK10,sK10,sK9),
inference(unit_resulting_resolution,[],[f866,f866,f407]) ).
fof(f866,plain,
coll(sK9,sK4,sK10),
inference(unit_resulting_resolution,[],[f726,f388]) ).
fof(f726,plain,
coll(sK9,sK10,sK4),
inference(unit_resulting_resolution,[],[f666,f668,f407]) ).
fof(f668,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f502,f502,f407]) ).
fof(f502,plain,
coll(sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f379,f388]) ).
fof(f666,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f503,f503,f407]) ).
fof(f503,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f381,f388]) ).
fof(f850,plain,
coll(sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f679,f388]) ).
fof(f679,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f519,f519,f407]) ).
fof(f519,plain,
coll(sK10,sK11,sK8),
inference(unit_resulting_resolution,[],[f504,f389]) ).
fof(f10094,plain,
para(sK9,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f378,f607,f470]) ).
fof(f3376,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f2704,f2704,f407]) ).
fof(f2704,plain,
coll(sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f1619,f388]) ).
fof(f1619,plain,
coll(sK9,sK8,sK10),
inference(unit_resulting_resolution,[],[f678,f1216,f407]) ).
fof(f10091,plain,
para(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f626,f611,f470]) ).
fof(f611,plain,
perp(sK4,sK5,sK8,sK10),
inference(unit_resulting_resolution,[],[f599,f404]) ).
fof(f599,plain,
perp(sK4,sK5,sK10,sK8),
inference(unit_resulting_resolution,[],[f380,f405]) ).
fof(f380,plain,
perp(sK10,sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f626,plain,
perp(sK8,sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f611,f405]) ).
fof(f1229,plain,
coll(sK10,sK9,sK10),
inference(unit_resulting_resolution,[],[f803,f873,f407]) ).
fof(f873,plain,
coll(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f728,f388]) ).
fof(f728,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f666,f668,f407]) ).
fof(f803,plain,
coll(sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f667,f388]) ).
fof(f111710,plain,
~ midp(sK10,sK9,sK11),
inference(unit_resulting_resolution,[],[f384,f110241,f434]) ).
fof(f434,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/benchmark/theBenchmark.p',ruleD44) ).
fof(f110241,plain,
midp(sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f107510,f385]) ).
fof(f107510,plain,
midp(sK9,sK6,sK9),
inference(unit_resulting_resolution,[],[f1031,f10095,f105851,f435]) ).
fof(f105851,plain,
midp(sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f3553,f10151,f105048,f435]) ).
fof(f105048,plain,
midp(sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f10686,f10143,f103502,f435]) ).
fof(f103502,plain,
midp(sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f103178,f385]) ).
fof(f103178,plain,
midp(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f673,f10132,f103122,f435]) ).
fof(f103122,plain,
midp(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f879,f92639,f392]) ).
fof(f92639,plain,
cong(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f19056,f17835,f17835,f10345,f466]) ).
fof(f10345,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f10133,f454]) ).
fof(f10133,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f607,f622,f470]) ).
fof(f17835,plain,
cyclic(sK6,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f857,f10345,f415]) ).
fof(f857,plain,
coll(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f722,f722,f407]) ).
fof(f722,plain,
coll(sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f666,f388]) ).
fof(f19056,plain,
cyclic(sK6,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f18212,f397]) ).
fof(f397,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/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f18212,plain,
cyclic(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f17837,f398]) ).
fof(f17837,plain,
cyclic(sK6,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f673,f10345,f415]) ).
fof(f879,plain,
coll(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f514,f731,f407]) ).
fof(f731,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f668,f388]) ).
fof(f10132,plain,
para(sK6,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f615,f622,f470]) ).
fof(f615,plain,
perp(sK6,sK4,sK8,sK9),
inference(unit_resulting_resolution,[],[f600,f404]) ).
fof(f600,plain,
perp(sK6,sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f590,f405]) ).
fof(f590,plain,
perp(sK9,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f378,f404]) ).
fof(f673,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f517,f517,f407]) ).
fof(f517,plain,
coll(sK6,sK9,sK4),
inference(unit_resulting_resolution,[],[f502,f389]) ).
fof(f10143,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f9903,f9932,f470]) ).
fof(f9932,plain,
perp(sK4,sK15(sK4,sK8,sK12,sK7),sK4,sK7),
inference(unit_resulting_resolution,[],[f9903,f405]) ).
fof(f9903,plain,
perp(sK4,sK7,sK4,sK15(sK4,sK8,sK12,sK7)),
inference(unit_resulting_resolution,[],[f9880,f404]) ).
fof(f9880,plain,
perp(sK4,sK7,sK15(sK4,sK8,sK12,sK7),sK4),
inference(unit_resulting_resolution,[],[f9869,f405]) ).
fof(f9869,plain,
perp(sK15(sK4,sK8,sK12,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f377,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK15(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK15(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK15(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/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f377,plain,
circle(sK7,sK4,sK8,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f10686,plain,
coll(sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f10501,f10583,f407]) ).
fof(f10583,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f10529,f388]) ).
fof(f10529,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f673,f10507,f407]) ).
fof(f10507,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f10500,f10500,f407]) ).
fof(f10500,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f10479,f10479,f407]) ).
fof(f10479,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f10143,f390]) ).
fof(f390,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/benchmark/theBenchmark.p',ruleD66) ).
fof(f10501,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f10479,f389]) ).
fof(f10151,plain,
para(sK7,sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f9948,f9975,f470]) ).
fof(f9975,plain,
perp(sK8,sK15(sK8,sK11,sK13,sK7),sK7,sK8),
inference(unit_resulting_resolution,[],[f9942,f404]) ).
fof(f9942,plain,
perp(sK8,sK15(sK8,sK11,sK13,sK7),sK8,sK7),
inference(unit_resulting_resolution,[],[f9913,f405]) ).
fof(f9913,plain,
perp(sK8,sK7,sK8,sK15(sK8,sK11,sK13,sK7)),
inference(unit_resulting_resolution,[],[f9886,f404]) ).
fof(f9886,plain,
perp(sK8,sK7,sK15(sK8,sK11,sK13,sK7),sK8),
inference(unit_resulting_resolution,[],[f9870,f405]) ).
fof(f9870,plain,
perp(sK15(sK8,sK11,sK13,sK7),sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f382,f418]) ).
fof(f382,plain,
circle(sK7,sK8,sK11,sK13),
inference(cnf_transformation,[],[f330]) ).
fof(f9948,plain,
perp(sK7,sK8,sK8,sK15(sK8,sK11,sK13,sK7)),
inference(unit_resulting_resolution,[],[f9917,f404]) ).
fof(f9917,plain,
perp(sK7,sK8,sK15(sK8,sK11,sK13,sK7),sK8),
inference(unit_resulting_resolution,[],[f9887,f405]) ).
fof(f9887,plain,
perp(sK15(sK8,sK11,sK13,sK7),sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f9870,f404]) ).
fof(f3553,plain,
coll(sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f850,f3232,f407]) ).
fof(f3232,plain,
coll(sK8,sK10,sK6),
inference(unit_resulting_resolution,[],[f1944,f388]) ).
fof(f1944,plain,
coll(sK8,sK6,sK10),
inference(unit_resulting_resolution,[],[f1100,f1398,f407]) ).
fof(f1398,plain,
coll(sK10,sK4,sK8),
inference(unit_resulting_resolution,[],[f1054,f389]) ).
fof(f1100,plain,
coll(sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f817,f388]) ).
fof(f817,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f666,f673,f407]) ).
fof(f1031,plain,
coll(sK9,sK6,sK9),
inference(unit_resulting_resolution,[],[f663,f388]) ).
fof(f663,plain,
coll(sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f543,f543,f407]) ).
fof(f543,plain,
coll(sK6,sK4,sK9),
inference(unit_resulting_resolution,[],[f517,f388]) ).
fof(f384,plain,
~ para(sK10,sK9,sK11,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3398,plain,
coll(sK10,sK9,sK11),
inference(unit_resulting_resolution,[],[f2711,f389]) ).
fof(f2711,plain,
coll(sK9,sK10,sK11),
inference(unit_resulting_resolution,[],[f1622,f388]) ).
fof(f1622,plain,
coll(sK9,sK11,sK10),
inference(unit_resulting_resolution,[],[f670,f1216,f407]) ).
fof(f670,plain,
coll(sK10,sK10,sK11),
inference(unit_resulting_resolution,[],[f383,f383,f407]) ).
fof(f207967,plain,
para(sK10,sK10,sK10,sK11),
inference(unit_resulting_resolution,[],[f114248,f114285,f470]) ).
fof(f114285,plain,
perp(sK4,sK10,sK10,sK11),
inference(unit_resulting_resolution,[],[f92690,f18509,f92696,f411]) ).
fof(f411,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/sandbox/benchmark/theBenchmark.p',ruleD57) ).
fof(f92696,plain,
cong(sK10,sK11,sK10,sK11),
inference(unit_resulting_resolution,[],[f18525,f19652,f17908,f10279,f466]) ).
fof(f10279,plain,
! [X0,X1] : eqangle(sK8,sK10,X0,X1,sK8,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f10091,f454]) ).
fof(f17908,plain,
cyclic(sK10,sK11,sK8,sK8),
inference(unit_resulting_resolution,[],[f677,f10279,f415]) ).
fof(f19652,plain,
cyclic(sK10,sK11,sK8,sK11),
inference(unit_resulting_resolution,[],[f18506,f18512,f441]) ).
fof(f18512,plain,
cyclic(sK10,sK10,sK11,sK11),
inference(unit_resulting_resolution,[],[f18081,f18081,f441]) ).
fof(f18081,plain,
cyclic(sK8,sK10,sK10,sK11),
inference(unit_resulting_resolution,[],[f17959,f397]) ).
fof(f17959,plain,
cyclic(sK8,sK10,sK11,sK10),
inference(unit_resulting_resolution,[],[f17876,f398]) ).
fof(f17876,plain,
cyclic(sK8,sK11,sK10,sK10),
inference(unit_resulting_resolution,[],[f670,f10199,f415]) ).
fof(f10199,plain,
! [X0,X1] : eqangle(sK10,sK8,X0,X1,sK10,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f10088,f454]) ).
fof(f10088,plain,
para(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f380,f599,f470]) ).
fof(f18506,plain,
cyclic(sK10,sK10,sK11,sK8),
inference(unit_resulting_resolution,[],[f18037,f18081,f441]) ).
fof(f18037,plain,
cyclic(sK8,sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f17937,f397]) ).
fof(f17937,plain,
cyclic(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f17873,f398]) ).
fof(f17873,plain,
cyclic(sK8,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f678,f10199,f415]) ).
fof(f18525,plain,
cyclic(sK10,sK11,sK8,sK10),
inference(unit_resulting_resolution,[],[f18082,f398]) ).
fof(f18082,plain,
cyclic(sK10,sK8,sK11,sK10),
inference(unit_resulting_resolution,[],[f17959,f396]) ).
fof(f18509,plain,
cyclic(sK10,sK10,sK4,sK11),
inference(unit_resulting_resolution,[],[f18015,f18081,f441]) ).
fof(f18015,plain,
cyclic(sK8,sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f17926,f397]) ).
fof(f17926,plain,
cyclic(sK8,sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f17869,f398]) ).
fof(f17869,plain,
cyclic(sK8,sK4,sK10,sK10),
inference(unit_resulting_resolution,[],[f667,f10199,f415]) ).
fof(f92690,plain,
cong(sK10,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f18434,f19517,f17901,f10279,f466]) ).
fof(f17901,plain,
cyclic(sK10,sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f1395,f10279,f415]) ).
fof(f19517,plain,
cyclic(sK10,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f18421,f18457,f441]) ).
fof(f18457,plain,
cyclic(sK10,sK10,sK4,sK8),
inference(unit_resulting_resolution,[],[f18015,f18037,f441]) ).
fof(f18421,plain,
cyclic(sK10,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f18015,f18015,f441]) ).
fof(f18434,plain,
cyclic(sK10,sK4,sK8,sK10),
inference(unit_resulting_resolution,[],[f18016,f398]) ).
fof(f18016,plain,
cyclic(sK10,sK8,sK4,sK10),
inference(unit_resulting_resolution,[],[f17926,f396]) ).
fof(f114248,plain,
perp(sK10,sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f92695,f92690,f412]) ).
fof(f412,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/benchmark/theBenchmark.p',ruleD56) ).
fof(f92695,plain,
cong(sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f18058,f18058,f17907,f10279,f466]) ).
fof(f17907,plain,
cyclic(sK10,sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f679,f10279,f415]) ).
fof(f18058,plain,
cyclic(sK10,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f17950,f398]) ).
fof(f17950,plain,
cyclic(sK10,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f17875,f396]) ).
fof(f17875,plain,
cyclic(sK8,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f790,f10199,f415]) ).
fof(f790,plain,
coll(sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f715,f715,f407]) ).
fof(f715,plain,
coll(sK10,sK11,sK10),
inference(unit_resulting_resolution,[],[f670,f388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 21:56:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (25345)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (25348)WARNING: value z3 for option sas not known
% 0.16/0.38 % (25347)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (25349)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (25348)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)
% 0.16/0.38 % (25346)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (25350)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)
% 0.16/0.38 % (25351)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)
% 0.16/0.38 % (25352)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [1]
% 0.22/0.50 TRYING [2]
% 2.61/0.77 TRYING [1]
% 2.61/0.77 TRYING [2]
% 3.08/0.81 TRYING [3]
% 5.18/1.14 TRYING [3]
% 21.39/3.43 % (25352)First to succeed.
% 21.39/3.44 % (25352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25345"
% 21.39/3.45 % (25352)Refutation found. Thanks to Tanya!
% 21.39/3.45 % SZS status Theorem for theBenchmark
% 21.39/3.45 % SZS output start Proof for theBenchmark
% See solution above
% 21.39/3.45 % (25352)------------------------------
% 21.39/3.45 % (25352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.39/3.45 % (25352)Termination reason: Refutation
% 21.39/3.45
% 21.39/3.45 % (25352)Memory used [KB]: 79544
% 21.39/3.45 % (25352)Time elapsed: 3.055 s
% 21.39/3.45 % (25352)Instructions burned: 9006 (million)
% 21.39/3.45 % (25345)Success in time 3.048 s
%------------------------------------------------------------------------------