TSTP Solution File: GEO586+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO586+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 20:26:37 EDT 2024
% Result : Theorem 36.67s 5.61s
% Output : Refutation 36.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 35
% Syntax : Number of formulae : 252 ( 108 unt; 0 def)
% Number of atoms : 529 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 440 ( 163 ~; 150 |; 72 &)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 744 ( 716 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f659729,plain,
$false,
inference(subsumption_resolution,[],[f642425,f642530]) ).
fof(f642530,plain,
~ para(sK7,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f1151,f575007,f621622,f432]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f621622,plain,
! [X0] : midp(sK7,X0,sK7),
inference(unit_resulting_resolution,[],[f441407,f65363,f573551,f432]) ).
fof(f573551,plain,
! [X0] : para(sK7,sK7,X0,sK7),
inference(unit_resulting_resolution,[],[f419936,f440145,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f440145,plain,
perp(sK7,sK7,sK4,sK4),
inference(unit_resulting_resolution,[],[f419904,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f419904,plain,
perp(sK4,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f414168,f414168,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,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(f414168,plain,
cong(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f11070,f11134,f11070,f11166,f463]) ).
fof(f463,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(f11166,plain,
eqangle(sK4,sK4,sK4,sK7,sK4,sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f11070,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f11134,plain,
cyclic(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f11034,f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f11034,plain,
cyclic(sK4,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f3415,f7106,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f7106,plain,
! [X0,X1] : eqangle(sK7,sK4,X0,X1,sK7,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f3364,f451]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f3364,plain,
para(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f3186,f3160,f466]) ).
fof(f3160,plain,
perp(sK13(sK4,sK8,sK11,sK7),sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f3148,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f3148,plain,
perp(sK13(sK4,sK8,sK11,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f377,f415]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f377,plain,
circle(sK7,sK4,sK8,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK10,sK9,sK6,sK8)
& circle(sK10,sK4,sK5,sK9)
& coll(sK9,sK5,sK8)
& coll(sK9,sK4,sK6)
& circle(sK7,sK4,sK8,sK11)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK10,sK9,sK6,sK8)
& circle(sK10,sK4,sK5,sK9)
& coll(sK9,sK5,sK8)
& coll(sK9,sK4,sK6)
& circle(sK7,sK4,sK8,sK11)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( circle(X18,X0,X1,X4)
& coll(X4,X1,X3)
& coll(X4,X0,X2)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> perp(X18,X4,X2,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( circle(X18,X0,X1,X4)
& coll(X4,X1,X3)
& coll(X4,X0,X2)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> perp(X18,X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).
fof(f3186,plain,
perp(sK7,sK4,sK13(sK4,sK8,sK11,sK7),sK4),
inference(unit_resulting_resolution,[],[f3160,f400]) ).
fof(f3415,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f3395,f3395,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f3395,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f3357,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f3357,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f3159,f3148,f466]) ).
fof(f3159,plain,
perp(sK4,sK7,sK13(sK4,sK8,sK11,sK7),sK4),
inference(unit_resulting_resolution,[],[f3148,f400]) ).
fof(f11070,plain,
cyclic(sK4,sK7,sK4,sK4),
inference(unit_resulting_resolution,[],[f10985,f393]) ).
fof(f393,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(f10985,plain,
cyclic(sK7,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f722,f3402,f412]) ).
fof(f3402,plain,
! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f3357,f451]) ).
fof(f722,plain,
coll(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f638,f638,f404]) ).
fof(f638,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f589,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f589,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f499,f499,f404]) ).
fof(f499,plain,
coll(sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f378,f385]) ).
fof(f378,plain,
coll(sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f419936,plain,
! [X0] : perp(sK4,sK4,X0,sK7),
inference(subsumption_resolution,[],[f419926,f410112]) ).
fof(f410112,plain,
! [X0] : cong(sK4,X0,sK4,X0),
inference(unit_resulting_resolution,[],[f105129,f105129,f65422,f61778,f463]) ).
fof(f61778,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f61357,f451]) ).
fof(f61357,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f21085,f461]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f21085,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK7,X0,X1,sK4,sK7),
inference(unit_resulting_resolution,[],[f3402,f488]) ).
fof(f488,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f65422,plain,
! [X0] : cyclic(sK4,X0,sK10,sK10),
inference(unit_resulting_resolution,[],[f7127,f62367,f412]) ).
fof(f62367,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f61383,f61383,f404]) ).
fof(f61383,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f61357,f387]) ).
fof(f7127,plain,
! [X0,X1] : eqangle(sK10,sK4,X0,X1,sK10,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f3366,f451]) ).
fof(f3366,plain,
para(sK10,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f3196,f3166,f466]) ).
fof(f3166,plain,
perp(sK13(sK4,sK5,sK9,sK10),sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f3149,f399]) ).
fof(f3149,plain,
perp(sK13(sK4,sK5,sK9,sK10),sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f380,f415]) ).
fof(f380,plain,
circle(sK10,sK4,sK5,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f3196,plain,
perp(sK10,sK4,sK13(sK4,sK5,sK9,sK10),sK4),
inference(unit_resulting_resolution,[],[f3166,f400]) ).
fof(f105129,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f100695,f100695,f438]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f100695,plain,
! [X2,X0,X1] : cyclic(sK7,X0,X1,X2),
inference(unit_resulting_resolution,[],[f99050,f99050,f438]) ).
fof(f99050,plain,
! [X0,X1] : cyclic(sK7,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f97251,f97251,f438]) ).
fof(f97251,plain,
! [X0] : cyclic(sK4,sK7,sK7,X0),
inference(unit_resulting_resolution,[],[f96324,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f96324,plain,
! [X0] : cyclic(sK4,sK7,X0,sK7),
inference(unit_resulting_resolution,[],[f65420,f395]) ).
fof(f65420,plain,
! [X0] : cyclic(sK4,X0,sK7,sK7),
inference(unit_resulting_resolution,[],[f7106,f62367,f412]) ).
fof(f419926,plain,
! [X0] :
( perp(sK4,sK4,X0,sK7)
| ~ cong(sK4,X0,sK4,X0) ),
inference(resolution,[],[f414168,f410]) ).
fof(f65363,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f62367,f62367,f404]) ).
fof(f441407,plain,
! [X0] : midp(sK7,X0,X0),
inference(unit_resulting_resolution,[],[f440170,f62018]) ).
fof(f62018,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| midp(X0,X1,X1) ),
inference(subsumption_resolution,[],[f61966,f61357]) ).
fof(f61966,plain,
! [X2,X0,X1] :
( midp(X0,X1,X1)
| ~ para(X2,X1,X2,X1)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f61357,f433]) ).
fof(f433,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/benchmark/theBenchmark.p',ruleD64) ).
fof(f440170,plain,
midp(sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f3429,f359057,f419908,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| midp(X4,X1,X2)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2,X7,X6] :
( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
& coll(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> midp(X6,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD51) ).
fof(f419908,plain,
circle(sK4,sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f414168,f414168,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,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/benchmark/theBenchmark.p',ruleD12) ).
fof(f359057,plain,
! [X0,X1] : eqangle(X0,X1,X1,X0,sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f61364,f489]) ).
fof(f489,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
fof(f61364,plain,
! [X0,X1] : eqangle(X0,X1,X0,X1,sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f21085,f491]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f3429,plain,
coll(sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f3416,f3416,f404]) ).
fof(f3416,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f3395,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f575007,plain,
~ midp(sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f421990,f569645,f431]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,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/benchmark/theBenchmark.p',ruleD63) ).
fof(f569645,plain,
~ para(sK6,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f552,f440129,f465]) ).
fof(f465,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/benchmark/theBenchmark.p',ruleD10) ).
fof(f440129,plain,
! [X0] : perp(sK4,sK4,X0,sK10),
inference(subsumption_resolution,[],[f440119,f410112]) ).
fof(f440119,plain,
! [X0] :
( perp(sK4,sK4,X0,sK10)
| ~ cong(sK4,X0,sK4,X0) ),
inference(resolution,[],[f414169,f410]) ).
fof(f414169,plain,
cong(sK4,sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f11103,f11145,f11103,f11243,f463]) ).
fof(f11243,plain,
eqangle(sK4,sK4,sK4,sK10,sK4,sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f11103,f396]) ).
fof(f11145,plain,
cyclic(sK4,sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f11048,f395]) ).
fof(f11048,plain,
cyclic(sK4,sK4,sK10,sK10),
inference(unit_resulting_resolution,[],[f4902,f7127,f412]) ).
fof(f4902,plain,
coll(sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f4886,f4886,f404]) ).
fof(f4886,plain,
coll(sK4,sK10,sK10),
inference(unit_resulting_resolution,[],[f3359,f387]) ).
fof(f3359,plain,
para(sK4,sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f3165,f3149,f466]) ).
fof(f3165,plain,
perp(sK4,sK10,sK13(sK4,sK5,sK9,sK10),sK4),
inference(unit_resulting_resolution,[],[f3149,f400]) ).
fof(f11103,plain,
cyclic(sK4,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f10992,f393]) ).
fof(f10992,plain,
cyclic(sK10,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f722,f4891,f412]) ).
fof(f4891,plain,
! [X0,X1] : eqangle(sK4,sK10,X0,X1,sK4,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f3359,f451]) ).
fof(f552,plain,
~ perp(sK6,sK8,sK9,sK10),
inference(unit_resulting_resolution,[],[f549,f399]) ).
fof(f549,plain,
~ perp(sK6,sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f381,f400]) ).
fof(f381,plain,
~ perp(sK10,sK9,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f421990,plain,
! [X0] : midp(X0,X0,sK4),
inference(unit_resulting_resolution,[],[f420019,f96207]) ).
fof(f96207,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X0,X1,X2) ),
inference(subsumption_resolution,[],[f96154,f65363]) ).
fof(f96154,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ midp(X2,X1,X0) ),
inference(resolution,[],[f61384,f432]) ).
fof(f61384,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f61357,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f420019,plain,
! [X0] : midp(sK4,X0,X0),
inference(unit_resulting_resolution,[],[f419906,f62018]) ).
fof(f419906,plain,
midp(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f3395,f414168,f389]) ).
fof(f389,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(f1151,plain,
coll(sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f507,f981,f404]) ).
fof(f981,plain,
coll(sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f810,f385]) ).
fof(f810,plain,
coll(sK4,sK8,sK9),
inference(unit_resulting_resolution,[],[f580,f586,f404]) ).
fof(f586,plain,
coll(sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f528,f528,f404]) ).
fof(f528,plain,
coll(sK8,sK5,sK9),
inference(unit_resulting_resolution,[],[f510,f385]) ).
fof(f510,plain,
coll(sK8,sK9,sK5),
inference(unit_resulting_resolution,[],[f500,f386]) ).
fof(f500,plain,
coll(sK9,sK8,sK5),
inference(unit_resulting_resolution,[],[f379,f385]) ).
fof(f379,plain,
coll(sK9,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f580,plain,
coll(sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f516,f516,f404]) ).
fof(f516,plain,
coll(sK4,sK6,sK9),
inference(unit_resulting_resolution,[],[f507,f385]) ).
fof(f507,plain,
coll(sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f378,f386]) ).
fof(f642425,plain,
para(sK7,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f433635,f621622,f430]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,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/benchmark/theBenchmark.p',ruleD44) ).
fof(f433635,plain,
midp(sK6,sK9,sK4),
inference(unit_resulting_resolution,[],[f422504,f382]) ).
fof(f382,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(f422504,plain,
midp(sK6,sK4,sK9),
inference(unit_resulting_resolution,[],[f7154,f65401,f420196,f432]) ).
fof(f420196,plain,
! [X0] : midp(X0,sK4,X0),
inference(unit_resulting_resolution,[],[f65363,f61357,f420019,f432]) ).
fof(f65401,plain,
! [X0] : coll(sK6,X0,sK9),
inference(unit_resulting_resolution,[],[f584,f62367,f404]) ).
fof(f584,plain,
coll(sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f524,f524,f404]) ).
fof(f524,plain,
coll(sK6,sK4,sK9),
inference(unit_resulting_resolution,[],[f509,f385]) ).
fof(f509,plain,
coll(sK6,sK9,sK4),
inference(unit_resulting_resolution,[],[f499,f386]) ).
fof(f7154,plain,
para(sK5,sK6,sK5,sK9),
inference(unit_resulting_resolution,[],[f5088,f7137,f466]) ).
fof(f7137,plain,
perp(sK5,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f3557,f400]) ).
fof(f3557,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f3490,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f3490,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f3442,f385]) ).
fof(f3442,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f583,f3422,f404]) ).
fof(f3422,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f3415,f3415,f404]) ).
fof(f583,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f509,f509,f404]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f5088,plain,
perp(sK4,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f380,f4993,f405]) ).
fof(f4993,plain,
coll(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f4932,f385]) ).
fof(f4932,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f589,f4909,f404]) ).
fof(f4909,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f4902,f4902,f404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO586+1 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 14:51:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (15780)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (15783)WARNING: value z3 for option sas not known
% 0.13/0.37 % (15784)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (15785)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)
% 0.13/0.37 % (15786)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)
% 0.13/0.37 % (15787)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)
% 0.13/0.38 % (15783)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 % (15781)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.40 % (15782)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.44 TRYING [3]
% 0.19/0.47 TRYING [1]
% 0.19/0.50 TRYING [2]
% 4.66/1.03 TRYING [1]
% 4.66/1.03 TRYING [2]
% 4.66/1.06 TRYING [3]
% 6.13/1.26 TRYING [3]
% 36.52/5.59 % (15787)First to succeed.
% 36.52/5.60 % (15787)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15780"
% 36.67/5.61 % (15787)Refutation found. Thanks to Tanya!
% 36.67/5.61 % SZS status Theorem for theBenchmark
% 36.67/5.61 % SZS output start Proof for theBenchmark
% See solution above
% 36.67/5.61 % (15787)------------------------------
% 36.67/5.61 % (15787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 36.67/5.61 % (15787)Termination reason: Refutation
% 36.67/5.61
% 36.67/5.61 % (15787)Memory used [KB]: 53323
% 36.67/5.61 % (15787)Time elapsed: 5.232 s
% 36.67/5.61 % (15787)Instructions burned: 13977 (million)
% 36.67/5.61 % (15780)Success in time 5.246 s
%------------------------------------------------------------------------------