TSTP Solution File: GEO577+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO577+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 : n029.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 05:26:51 EDT 2024
% Result : Theorem 29.33s 4.59s
% Output : Refutation 29.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 35
% Syntax : Number of formulae : 263 ( 126 unt; 0 def)
% Number of atoms : 559 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 455 ( 159 ~; 146 |; 97 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 713 ( 682 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316991,plain,
$false,
inference(subsumption_resolution,[],[f316961,f186801]) ).
fof(f186801,plain,
~ perp(sK7,sK7,sK10,sK9),
inference(unit_resulting_resolution,[],[f63299,f122459,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f122459,plain,
para(sK7,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f77147,f119621,f434]) ).
fof(f434,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/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f119621,plain,
midp(sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f1230,f1230,f119508,f436]) ).
fof(f436,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/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f119508,plain,
midp(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f1391,f119423,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(f119423,plain,
cong(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f10660,f10625,f10625,f1285,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(f1285,plain,
! [X0,X1] : eqangle(sK5,sK7,X0,X1,sK5,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f1230,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(f10625,plain,
cyclic(sK7,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f1387,f1285,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(f1387,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f1345,f1345,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(f1345,plain,
coll(sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f1309,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(f1309,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f1296,f1296,f407]) ).
fof(f1296,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f1280,f1280,f407]) ).
fof(f1280,plain,
coll(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f1230,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(f10660,plain,
cyclic(sK7,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f10637,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(f10637,plain,
cyclic(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f10627,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(f10627,plain,
cyclic(sK7,sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f1309,f1285,f415]) ).
fof(f1391,plain,
coll(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f1345,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(f1230,plain,
para(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f542,f547,f469]) ).
fof(f469,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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f547,plain,
perp(sK10,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f542,f403]) ).
fof(f403,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/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f542,plain,
perp(sK5,sK7,sK10,sK5),
inference(unit_resulting_resolution,[],[f382,f402]) ).
fof(f402,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/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f382,plain,
perp(sK5,sK7,sK5,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK9,sK10,sK4,sK7)
& circle(sK8,sK4,sK10,sK12)
& perp(sK5,sK7,sK5,sK10)
& coll(sK9,sK6,sK7)
& circle(sK8,sK6,sK9,sK11)
& circle(sK8,sK4,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,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] :
( ~ para(X5,X6,X0,X3)
& circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ para(sK9,sK10,sK4,sK7)
& circle(sK8,sK4,sK10,sK12)
& perp(sK5,sK7,sK5,sK10)
& coll(sK9,sK6,sK7)
& circle(sK8,sK6,sK9,sK11)
& circle(sK8,sK4,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X5,X6,X0,X3)
& circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X5,X6,X0,X3)
& circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> para(X5,X6,X0,X3) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X7,X6,X19,X20,X21] :
( ( circle(X7,X0,X19,X21)
& perp(X1,X18,X1,X19)
& coll(X6,X2,X18)
& circle(X7,X2,X6,X20)
& circle(X7,X0,X1,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> para(X6,X19,X0,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X7,X6,X19,X20,X21] :
( ( circle(X7,X0,X19,X21)
& perp(X1,X18,X1,X19)
& coll(X6,X2,X18)
& circle(X7,X2,X6,X20)
& circle(X7,X0,X1,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> para(X6,X19,X0,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214039) ).
fof(f77147,plain,
midp(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f2699,f63232,f76691,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(f76691,plain,
midp(sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f60409,f60409,f76636,f436]) ).
fof(f76636,plain,
midp(sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f1971,f61039,f76585,f435]) ).
fof(f76585,plain,
midp(sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f76575,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(f76575,plain,
midp(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f379,f1403,f68423,f438]) ).
fof(f438,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/sandbox/benchmark/theBenchmark.p',ruleD51) ).
fof(f68423,plain,
! [X0,X1] : eqangle(sK4,sK5,sK4,sK6,X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f60311,f494]) ).
fof(f494,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/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f60311,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f60288,f454]) ).
fof(f60288,plain,
para(sK4,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f19478,f464]) ).
fof(f464,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/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f19478,plain,
eqangle(sK4,sK5,sK7,sK4,sK4,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f376,f491]) ).
fof(f491,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/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f376,plain,
eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f1403,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f1352,f1352,f407]) ).
fof(f1352,plain,
coll(sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f1310,f388]) ).
fof(f1310,plain,
coll(sK6,sK5,sK7),
inference(unit_resulting_resolution,[],[f584,f1296,f407]) ).
fof(f584,plain,
coll(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f506,f506,f407]) ).
fof(f506,plain,
coll(sK6,sK9,sK7),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f381,plain,
coll(sK9,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f379,plain,
circle(sK8,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f61039,plain,
para(sK5,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f61025,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f61025,plain,
para(sK5,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f19479,f464]) ).
fof(f19479,plain,
eqangle(sK5,sK6,sK7,sK5,sK5,sK4,sK7,sK5),
inference(unit_resulting_resolution,[],[f377,f491]) ).
fof(f377,plain,
eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f1971,plain,
coll(sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f1878,f1903,f407]) ).
fof(f1903,plain,
coll(sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f1862,f388]) ).
fof(f1862,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f1851,f1851,f407]) ).
fof(f1851,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f1835,f1835,f407]) ).
fof(f1835,plain,
coll(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f1238,f390]) ).
fof(f1238,plain,
para(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f1004,f988,f469]) ).
fof(f988,plain,
perp(sK14(sK6,sK9,sK11,sK8),sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f380,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK14(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK14(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK14(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(f380,plain,
circle(sK8,sK6,sK9,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f1004,plain,
perp(sK6,sK8,sK14(sK6,sK9,sK11,sK8),sK6),
inference(unit_resulting_resolution,[],[f988,f403]) ).
fof(f1878,plain,
coll(sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f1857,f388]) ).
fof(f1857,plain,
coll(sK6,sK4,sK8),
inference(unit_resulting_resolution,[],[f1770,f1851,f407]) ).
fof(f1770,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f1750,f1750,f407]) ).
fof(f1750,plain,
coll(sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f1236,f390]) ).
fof(f1236,plain,
para(sK4,sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f998,f987,f469]) ).
fof(f987,plain,
perp(sK14(sK4,sK10,sK12,sK8),sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f383,f418]) ).
fof(f383,plain,
circle(sK8,sK4,sK10,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f998,plain,
perp(sK4,sK8,sK14(sK4,sK10,sK12,sK8),sK4),
inference(unit_resulting_resolution,[],[f987,f403]) ).
fof(f60409,plain,
para(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f60301,f60332,f467]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f60332,plain,
para(sK6,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f60301,f401]) ).
fof(f60301,plain,
para(sK4,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f60288,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f63232,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f63154,f63189,f467]) ).
fof(f63189,plain,
para(sK4,sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f63154,f401]) ).
fof(f63154,plain,
para(sK7,sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f63142,f400]) ).
fof(f63142,plain,
para(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f60288,f22806,f496]) ).
fof(f496,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f22806,plain,
eqangle(sK7,sK4,sK7,sK4,sK4,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f376,f494]) ).
fof(f2699,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f613,f2192,f407]) ).
fof(f2192,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f2044,f388]) ).
fof(f2044,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f586,f1924,f407]) ).
fof(f1924,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f1885,f1885,f407]) ).
fof(f1885,plain,
coll(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f1860,f388]) ).
fof(f1860,plain,
coll(sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f1770,f1851,f407]) ).
fof(f586,plain,
coll(sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f507,f507,f407]) ).
fof(f507,plain,
coll(sK7,sK9,sK6),
inference(unit_resulting_resolution,[],[f502,f389]) ).
fof(f502,plain,
coll(sK9,sK7,sK6),
inference(unit_resulting_resolution,[],[f381,f388]) ).
fof(f613,plain,
coll(sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f584,f388]) ).
fof(f63299,plain,
~ perp(sK7,sK4,sK10,sK9),
inference(unit_resulting_resolution,[],[f533,f63141,f469]) ).
fof(f63141,plain,
perp(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f61278,f22806,f497]) ).
fof(f497,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f61278,plain,
perp(sK4,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f6056,f61095,f468]) ).
fof(f61095,plain,
perp(sK5,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f60559,f61039,f468]) ).
fof(f60559,plain,
perp(sK5,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f60376,f403]) ).
fof(f60376,plain,
perp(sK4,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f1979,f60302,f468]) ).
fof(f60302,plain,
para(sK4,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f60288,f401]) ).
fof(f1979,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f379,f1912,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f1912,plain,
coll(sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f1835,f1878,f407]) ).
fof(f6056,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f6026,f400]) ).
fof(f6026,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f1979,f6017,f469]) ).
fof(f6017,plain,
perp(sK5,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f1979,f403]) ).
fof(f533,plain,
~ para(sK7,sK4,sK10,sK9),
inference(unit_resulting_resolution,[],[f529,f400]) ).
fof(f529,plain,
~ para(sK7,sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f526,f401]) ).
fof(f526,plain,
~ para(sK9,sK10,sK7,sK4),
inference(unit_resulting_resolution,[],[f384,f400]) ).
fof(f384,plain,
~ para(sK9,sK10,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f316961,plain,
perp(sK7,sK7,sK10,sK9),
inference(unit_resulting_resolution,[],[f119428,f119427,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,[],[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/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f119427,plain,
cong(sK7,sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f12699,f12771,f10629,f1285,f466]) ).
fof(f10629,plain,
cyclic(sK7,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f1422,f1285,f415]) ).
fof(f1422,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f1359,f1359,f407]) ).
fof(f1359,plain,
coll(sK9,sK7,sK5),
inference(unit_resulting_resolution,[],[f1312,f388]) ).
fof(f1312,plain,
coll(sK9,sK5,sK7),
inference(unit_resulting_resolution,[],[f582,f1296,f407]) ).
fof(f582,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f381,f381,f407]) ).
fof(f12771,plain,
cyclic(sK7,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f10828,f11451,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(f11451,plain,
cyclic(sK5,sK7,sK9,sK9),
inference(unit_resulting_resolution,[],[f11011,f11011,f441]) ).
fof(f11011,plain,
cyclic(sK5,sK5,sK7,sK9),
inference(unit_resulting_resolution,[],[f10660,f10827,f441]) ).
fof(f10827,plain,
cyclic(sK7,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f10692,f397]) ).
fof(f10692,plain,
cyclic(sK7,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f10629,f398]) ).
fof(f10828,plain,
cyclic(sK5,sK7,sK9,sK5),
inference(unit_resulting_resolution,[],[f10692,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(f12699,plain,
cyclic(sK7,sK9,sK5,sK7),
inference(unit_resulting_resolution,[],[f10828,f11445,f441]) ).
fof(f11445,plain,
cyclic(sK5,sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f10747,f11011,f441]) ).
fof(f10747,plain,
cyclic(sK5,sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f10660,f10660,f441]) ).
fof(f119428,plain,
cong(sK7,sK10,sK7,sK10),
inference(unit_resulting_resolution,[],[f11571,f11600,f10630,f1285,f466]) ).
fof(f10630,plain,
cyclic(sK7,sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f3908,f1285,f415]) ).
fof(f3908,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f3901,f3901,f407]) ).
fof(f3901,plain,
coll(sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f3885,f3885,f407]) ).
fof(f3885,plain,
coll(sK5,sK10,sK10),
inference(unit_resulting_resolution,[],[f1206,f390]) ).
fof(f1206,plain,
para(sK5,sK10,sK5,sK10),
inference(unit_resulting_resolution,[],[f551,f558,f469]) ).
fof(f558,plain,
perp(sK7,sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f551,f403]) ).
fof(f551,plain,
perp(sK5,sK10,sK7,sK5),
inference(unit_resulting_resolution,[],[f546,f402]) ).
fof(f546,plain,
perp(sK5,sK10,sK5,sK7),
inference(unit_resulting_resolution,[],[f382,f403]) ).
fof(f11600,plain,
cyclic(sK7,sK10,sK5,sK10),
inference(unit_resulting_resolution,[],[f10716,f11089,f441]) ).
fof(f11089,plain,
cyclic(sK5,sK7,sK10,sK10),
inference(unit_resulting_resolution,[],[f10860,f10860,f441]) ).
fof(f10860,plain,
cyclic(sK5,sK5,sK7,sK10),
inference(unit_resulting_resolution,[],[f10660,f10715,f441]) ).
fof(f10715,plain,
cyclic(sK7,sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f10648,f397]) ).
fof(f10648,plain,
cyclic(sK7,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f10630,f398]) ).
fof(f10716,plain,
cyclic(sK5,sK7,sK10,sK5),
inference(unit_resulting_resolution,[],[f10648,f396]) ).
fof(f11571,plain,
cyclic(sK7,sK10,sK5,sK7),
inference(unit_resulting_resolution,[],[f10716,f11085,f441]) ).
fof(f11085,plain,
cyclic(sK5,sK7,sK10,sK7),
inference(unit_resulting_resolution,[],[f10747,f10860,f441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO577+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 22:07:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (404)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (410)WARNING: value z3 for option sas not known
% 0.14/0.38 % (408)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (409)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (410)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)
% 0.14/0.38 % (411)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (412)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)
% 0.14/0.38 % (413)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)
% 0.14/0.38 % (414)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.46 TRYING [3]
% 0.21/0.47 TRYING [1]
% 0.21/0.50 TRYING [2]
% 4.07/0.97 TRYING [1]
% 4.07/0.97 TRYING [2]
% 4.07/1.00 TRYING [3]
% 5.09/1.09 TRYING [3]
% 29.33/4.56 % (414)First to succeed.
% 29.33/4.57 % (414)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-404"
% 29.33/4.59 % (414)Refutation found. Thanks to Tanya!
% 29.33/4.59 % SZS status Theorem for theBenchmark
% 29.33/4.59 % SZS output start Proof for theBenchmark
% See solution above
% 29.33/4.59 % (414)------------------------------
% 29.33/4.59 % (414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 29.33/4.59 % (414)Termination reason: Refutation
% 29.33/4.59
% 29.33/4.59 % (414)Memory used [KB]: 128894
% 29.33/4.59 % (414)Time elapsed: 4.191 s
% 29.33/4.59 % (414)Instructions burned: 14547 (million)
% 29.33/4.59 % (404)Success in time 4.149 s
%------------------------------------------------------------------------------