TSTP Solution File: GEO648+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 14:53:42 EDT 2023
% Result : Theorem 6.02s 1.31s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of formulae : 172 ( 65 unt; 0 def)
% Number of atoms : 369 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 309 ( 112 ~; 95 |; 59 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 618 (; 582 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94433,plain,
$false,
inference(subsumption_resolution,[],[f94406,f54509]) ).
fof(f54509,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(unit_resulting_resolution,[],[f42414,f397]) ).
fof(f397,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/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD41) ).
fof(f42414,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f37915,f37915,f439]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD17) ).
fof(f37915,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f35945,f35945,f439]) ).
fof(f35945,plain,
! [X0,X1] : cyclic(sK4,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f34242,f34242,f439]) ).
fof(f34242,plain,
! [X0] : cyclic(sK5,sK4,sK4,X0),
inference(unit_resulting_resolution,[],[f33435,f395]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD14) ).
fof(f33435,plain,
! [X0] : cyclic(sK5,sK4,X0,sK4),
inference(unit_resulting_resolution,[],[f22594,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD15) ).
fof(f22594,plain,
! [X0] : cyclic(sK5,X0,sK4,sK4),
inference(unit_resulting_resolution,[],[f2865,f20532,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD42b) ).
fof(f20532,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f19880,f19880,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD3) ).
fof(f19880,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f19873,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD66) ).
fof(f19873,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f19371,f462]) ).
fof(f462,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/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD39) ).
fof(f19371,plain,
! [X0,X1] : eqangle(X0,X1,sK5,sK4,X0,X1,sK5,sK4),
inference(unit_resulting_resolution,[],[f1413,f489]) ).
fof(f489,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/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD19) ).
fof(f1413,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f1349,f452]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD40) ).
fof(f1349,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f1038,f1027,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD9) ).
fof(f1027,plain,
perp(sK14(sK5,sK6,sK11,sK4),sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f416]) ).
fof(f416,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/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleX11) ).
fof(f377,plain,
circle(sK4,sK5,sK6,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK4,sK7,sK5,sK8)
& circle(sK4,sK6,sK8,sK12)
& coll(sK6,sK4,sK8)
& perp(sK4,sK5,sK5,sK7)
& perp(sK4,sK6,sK6,sK7)
& circle(sK4,sK5,sK6,sK11)
& circle(sK4,sK5,sK9,sK10) ),
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(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> ( ~ para(sK4,sK7,sK5,sK8)
& circle(sK4,sK6,sK8,sK12)
& coll(sK6,sK4,sK8)
& perp(sK4,sK5,sK5,sK7)
& perp(sK4,sK6,sK6,sK7)
& circle(sK4,sK5,sK6,sK11)
& circle(sK4,sK5,sK9,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> para(X0,X3,X1,X4) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
( ( circle(X0,X2,X4,X21)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X20)
& circle(X0,X1,X18,X19) )
=> para(X0,X3,X1,X4) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
( ( circle(X0,X2,X4,X21)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X20)
& circle(X0,X1,X18,X19) )
=> para(X0,X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',exemplo6GDDFULLmoreE0213) ).
fof(f1038,plain,
perp(sK5,sK4,sK14(sK5,sK6,sK11,sK4),sK5),
inference(unit_resulting_resolution,[],[f1027,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD8) ).
fof(f2865,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f1354,f452]) ).
fof(f1354,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f1065,f1039,f468]) ).
fof(f1039,plain,
perp(sK14(sK5,sK6,sK11,sK4),sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f1027,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD7) ).
fof(f1065,plain,
perp(sK4,sK5,sK14(sK5,sK6,sK11,sK4),sK5),
inference(unit_resulting_resolution,[],[f1039,f403]) ).
fof(f94406,plain,
~ eqangle(sK8,sK10,sK8,sK5,sK9,sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f35725,f89242,f495]) ).
fof(f495,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/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD74) ).
fof(f89242,plain,
~ perp(sK8,sK10,sK8,sK5),
inference(unit_resulting_resolution,[],[f33090,f87583,f495]) ).
fof(f87583,plain,
~ perp(sK10,sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f42414,f85866,f419]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f221,f337]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) )
=> ( circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X4,X0,X1,X2) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2,X3] :
? [X7] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleX14) ).
fof(f85866,plain,
! [X0] : ~ circle(X0,sK10,sK5,sK8),
inference(unit_resulting_resolution,[],[f22536,f81556,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD53) ).
fof(f81556,plain,
~ perp(sK10,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f75143,f81380,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD10) ).
fof(f81380,plain,
~ perp(sK4,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f532,f81153,f468]) ).
fof(f81153,plain,
perp(sK7,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f22620,f64362,f406]) ).
fof(f64362,plain,
circle(sK16(sK7,sK4,sK5,sK5),sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f19875,f569,f419]) ).
fof(f569,plain,
perp(sK7,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f551,f402]) ).
fof(f551,plain,
perp(sK7,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f541,f403]) ).
fof(f541,plain,
perp(sK4,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f379,f402]) ).
fof(f379,plain,
perp(sK4,sK5,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f19875,plain,
! [X0] : cyclic(X0,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f1442,f19371,f413]) ).
fof(f1442,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f1428,f1428,f405]) ).
fof(f1428,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f1404,f1404,f405]) ).
fof(f1404,plain,
coll(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f1349,f388]) ).
fof(f22620,plain,
! [X0] : coll(X0,sK7,sK5),
inference(unit_resulting_resolution,[],[f20532,f1997]) ).
fof(f1997,plain,
! [X0] :
( ~ coll(sK5,sK5,X0)
| coll(X0,sK7,sK5) ),
inference(resolution,[],[f1972,f405]) ).
fof(f1972,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f1965,f1965,f405]) ).
fof(f1965,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f1949,f1949,f405]) ).
fof(f1949,plain,
coll(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f1270,f388]) ).
fof(f1270,plain,
para(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f561,f576,f468]) ).
fof(f576,plain,
perp(sK5,sK4,sK5,sK7),
inference(unit_resulting_resolution,[],[f561,f403]) ).
fof(f561,plain,
perp(sK5,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f549,f402]) ).
fof(f549,plain,
perp(sK5,sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f379,f403]) ).
fof(f532,plain,
~ para(sK7,sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f529,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD5) ).
fof(f529,plain,
~ para(sK5,sK8,sK7,sK4),
inference(unit_resulting_resolution,[],[f526,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD4) ).
fof(f526,plain,
~ para(sK5,sK8,sK4,sK7),
inference(unit_resulting_resolution,[],[f382,f399]) ).
fof(f382,plain,
~ para(sK4,sK7,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f75143,plain,
para(sK4,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f379,f74307,f468]) ).
fof(f74307,plain,
perp(sK5,sK7,sK10,sK5),
inference(unit_resulting_resolution,[],[f35719,f66471,f495]) ).
fof(f66471,plain,
eqangle(sK5,sK7,sK10,sK5,sK9,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f66240,f491]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD20) ).
fof(f66240,plain,
eqangle(sK9,sK5,sK10,sK9,sK5,sK7,sK10,sK5),
inference(unit_resulting_resolution,[],[f66111,f490]) ).
fof(f490,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/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD18) ).
fof(f66111,plain,
eqangle(sK5,sK9,sK10,sK9,sK5,sK7,sK10,sK5),
inference(unit_resulting_resolution,[],[f66062,f491]) ).
fof(f66062,plain,
eqangle(sK5,sK7,sK10,sK5,sK5,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f66023,f492]) ).
fof(f492,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/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD21) ).
fof(f66023,plain,
eqangle(sK5,sK7,sK5,sK9,sK10,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f376,f379,f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4] :
( ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.eAZgvWfWql/Vampire---4.8_15106',ruleD48) ).
fof(f376,plain,
circle(sK4,sK5,sK9,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f35719,plain,
perp(sK9,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f19881,f34030,f466]) ).
fof(f34030,plain,
perp(sK5,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f23579,f402]) ).
fof(f23579,plain,
perp(sK5,sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f22536,f1019]) ).
fof(f1019,plain,
( ~ coll(sK4,sK5,sK10)
| perp(sK5,sK9,sK9,sK10) ),
inference(resolution,[],[f406,f376]) ).
fof(f19881,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f19873,f398]) ).
fof(f22536,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f20532,f20532,f405]) ).
fof(f33090,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(unit_resulting_resolution,[],[f19881,f452]) ).
fof(f35725,plain,
perp(sK9,sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f34031,f402]) ).
fof(f34031,plain,
perp(sK9,sK10,sK5,sK9),
inference(unit_resulting_resolution,[],[f23579,f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 30 18:01:53 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.16/0.39 % (15244)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (15245)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.40 % (15246)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.40 % (15248)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.40 % (15251)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.16/0.40 % (15249)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.16/0.40 % (15250)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.16/0.40 % (15247)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.44 TRYING [1]
% 0.16/0.46 TRYING [3]
% 0.16/0.47 TRYING [2]
% 5.43/1.17 TRYING [1]
% 5.43/1.17 TRYING [2]
% 5.43/1.23 TRYING [3]
% 6.02/1.30 % (15251)First to succeed.
% 6.02/1.31 % (15251)Refutation found. Thanks to Tanya!
% 6.02/1.31 % SZS status Theorem for Vampire---4
% 6.02/1.31 % SZS output start Proof for Vampire---4
% See solution above
% 6.02/1.31 % (15251)------------------------------
% 6.02/1.31 % (15251)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.02/1.31 % (15251)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.02/1.31 % (15251)Termination reason: Refutation
% 6.02/1.31
% 6.02/1.31 % (15251)Memory used [KB]: 16758
% 6.02/1.31 % (15251)Time elapsed: 0.909 s
% 6.02/1.31 % (15251)------------------------------
% 6.02/1.31 % (15251)------------------------------
% 6.02/1.31 % (15244)Success in time 0.968 s
% 6.02/1.31 % Vampire---4.8 exiting
%------------------------------------------------------------------------------