TSTP Solution File: GEO589+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO589+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 : n032.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 : Wed Aug 30 23:36:33 EDT 2023
% Result : Theorem 17.58s 2.85s
% Output : Refutation 17.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 163 ( 71 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 309 ( 120 ~; 100 |; 56 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 503 (; 474 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362277,plain,
$false,
inference(unit_resulting_resolution,[],[f345527,f360863,f360863,f394]) ).
fof(f394,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD56) ).
fof(f360863,plain,
! [X0] : cong(sK6,X0,sK4,X0),
inference(unit_resulting_resolution,[],[f337490,f333286]) ).
fof(f333286,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(subsumption_resolution,[],[f333285,f332551]) ).
fof(f332551,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f324229,f324229,f421]) ).
fof(f421,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD17) ).
fof(f324229,plain,
! [X2,X0,X1] : cyclic(sK0,X0,X1,X2),
inference(unit_resulting_resolution,[],[f319808,f319808,f421]) ).
fof(f319808,plain,
! [X0,X1] : cyclic(sK0,sK0,X0,X1),
inference(unit_resulting_resolution,[],[f315026,f315026,f421]) ).
fof(f315026,plain,
! [X0] : cyclic(sK2,sK0,sK0,X0),
inference(unit_resulting_resolution,[],[f312685,f378]) ).
fof(f378,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD14) ).
fof(f312685,plain,
! [X0] : cyclic(sK2,sK0,X0,sK0),
inference(unit_resulting_resolution,[],[f311709,f379]) ).
fof(f379,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD15) ).
fof(f311709,plain,
! [X0] : cyclic(sK2,X0,sK0,sK0),
inference(unit_resulting_resolution,[],[f884,f288772,f396]) ).
fof(f396,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD42b) ).
fof(f288772,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f281353,f281353,f388]) ).
fof(f388,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD3) ).
fof(f281353,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f281350,f371]) ).
fof(f371,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD66) ).
fof(f281350,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f280039,f443]) ).
fof(f443,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD39) ).
fof(f280039,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK2,X0,X1,sK0,sK2),
inference(unit_resulting_resolution,[],[f884,f468]) ).
fof(f468,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD19) ).
fof(f884,plain,
! [X0,X1] : eqangle(sK0,sK2,X0,X1,sK0,sK2,X0,X1),
inference(unit_resulting_resolution,[],[f843,f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD40) ).
fof(f843,plain,
para(sK0,sK2,sK0,sK2),
inference(unit_resulting_resolution,[],[f548,f551,f448]) ).
fof(f448,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD9) ).
fof(f551,plain,
perp(sK4,sK1,sK0,sK2),
inference(unit_resulting_resolution,[],[f548,f384]) ).
fof(f384,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD8) ).
fof(f548,plain,
perp(sK0,sK2,sK4,sK1),
inference(unit_resulting_resolution,[],[f361,f383]) ).
fof(f383,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD7) ).
fof(f361,plain,
perp(sK0,sK2,sK1,sK4),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ para(sK1,sK5,sK0,sK2)
& coll(sK5,sK4,sK3)
& circle(sK3,sK4,sK5,sK7)
& circle(sK3,sK0,sK4,sK6)
& perp(sK0,sK2,sK1,sK4)
& circle(sK3,sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f169,f321]) ).
fof(f321,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK1,sK5,sK0,sK2)
& coll(sK5,sK4,sK3)
& circle(sK3,sK4,sK5,sK7)
& circle(sK3,sK0,sK4,sK6)
& perp(sK0,sK2,sK1,sK4)
& circle(sK3,sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X1,X5,X0,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',exemplo6GDDFULL416051) ).
fof(f333285,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X4) ),
inference(subsumption_resolution,[],[f333283,f332551]) ).
fof(f333283,plain,
! [X2,X3,X0,X1,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) ),
inference(subsumption_resolution,[],[f445,f332551]) ).
fof(f445,plain,
! [X2,X3,X0,X1,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(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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD43) ).
fof(f337490,plain,
! [X0,X1] : eqangle(sK0,sK6,X0,X1,sK0,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f337469,f433]) ).
fof(f337469,plain,
para(sK0,sK6,sK0,sK4),
inference(unit_resulting_resolution,[],[f333527,f337463,f448]) ).
fof(f337463,plain,
perp(sK0,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f336954,f311905]) ).
fof(f311905,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(subsumption_resolution,[],[f389,f311260]) ).
fof(f311260,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f288772,f288772,f388]) ).
fof(f389,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD53) ).
fof(f336954,plain,
! [X0] : circle(sK10(sK0,sK6,sK4,X0),sK0,sK6,sK4),
inference(unit_resulting_resolution,[],[f333510,f333280]) ).
fof(f333280,plain,
! [X2,X3,X0,X1] :
( circle(sK10(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1) ),
inference(subsumption_resolution,[],[f400,f332551]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( circle(sK10(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0,X1,X2,X3] :
( circle(sK10(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f219,f327]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) )
=> ( circle(sK10(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,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/sandbox/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleX14) ).
fof(f333510,plain,
perp(sK0,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f362,f311905]) ).
fof(f362,plain,
circle(sK3,sK0,sK4,sK6),
inference(cnf_transformation,[],[f322]) ).
fof(f333527,plain,
perp(sK6,sK4,sK0,sK4),
inference(unit_resulting_resolution,[],[f333514,f384]) ).
fof(f333514,plain,
perp(sK0,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f333510,f383]) ).
fof(f345527,plain,
~ perp(sK6,sK4,sK0,sK2),
inference(unit_resulting_resolution,[],[f339227,f344751,f447]) ).
fof(f447,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD10) ).
fof(f344751,plain,
para(sK4,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f343720,f344637,f448]) ).
fof(f344637,plain,
perp(sK4,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f344634,f384]) ).
fof(f344634,plain,
perp(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f339528,f311905]) ).
fof(f339528,plain,
! [X0] : circle(sK10(sK4,sK4,sK5,X0),sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f339238,f333280]) ).
fof(f339238,plain,
perp(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f337765,f339213,f447]) ).
fof(f339213,plain,
perp(sK7,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f339211,f383]) ).
fof(f339211,plain,
perp(sK7,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f336961,f311905]) ).
fof(f336961,plain,
! [X0] : circle(sK10(sK7,sK4,sK5,X0),sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f333572,f333280]) ).
fof(f333572,plain,
perp(sK7,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f333540,f383]) ).
fof(f333540,plain,
perp(sK7,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f333520,f384]) ).
fof(f333520,plain,
perp(sK4,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f333511,f383]) ).
fof(f333511,plain,
perp(sK4,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f363,f311905]) ).
fof(f363,plain,
circle(sK3,sK4,sK5,sK7),
inference(cnf_transformation,[],[f322]) ).
fof(f337765,plain,
para(sK4,sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f333520,f337692,f448]) ).
fof(f337692,plain,
perp(sK7,sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f337668,f383]) ).
fof(f337668,plain,
perp(sK7,sK5,sK4,sK7),
inference(unit_resulting_resolution,[],[f337665,f384]) ).
fof(f337665,plain,
perp(sK4,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f336959,f311905]) ).
fof(f336959,plain,
! [X0] : circle(sK10(sK4,sK7,sK5,X0),sK4,sK7,sK5),
inference(unit_resulting_resolution,[],[f333511,f333280]) ).
fof(f343720,plain,
perp(sK4,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f343718,f383]) ).
fof(f343718,plain,
perp(sK4,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f338932,f311905]) ).
fof(f338932,plain,
! [X0] : circle(sK10(sK4,sK4,sK6,X0),sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f338625,f333280]) ).
fof(f338625,plain,
perp(sK4,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f333514,f338533,f447]) ).
fof(f338533,plain,
para(sK4,sK6,sK0,sK4),
inference(unit_resulting_resolution,[],[f337514,f338523,f448]) ).
fof(f338523,plain,
perp(sK6,sK0,sK0,sK4),
inference(unit_resulting_resolution,[],[f336960,f311905]) ).
fof(f336960,plain,
! [X0] : circle(sK10(sK6,sK0,sK4,X0),sK6,sK0,sK4),
inference(unit_resulting_resolution,[],[f333552,f333280]) ).
fof(f333552,plain,
perp(sK6,sK4,sK4,sK0),
inference(unit_resulting_resolution,[],[f333527,f383]) ).
fof(f337514,plain,
perp(sK4,sK6,sK6,sK0),
inference(unit_resulting_resolution,[],[f337473,f383]) ).
fof(f337473,plain,
perp(sK4,sK6,sK0,sK6),
inference(unit_resulting_resolution,[],[f337465,f384]) ).
fof(f337465,plain,
perp(sK0,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f337463,f383]) ).
fof(f339227,plain,
~ perp(sK4,sK5,sK0,sK2),
inference(unit_resulting_resolution,[],[f337808,f339211,f448]) ).
fof(f337808,plain,
~ para(sK7,sK4,sK0,sK2),
inference(unit_resulting_resolution,[],[f337008,f337765,f446]) ).
fof(f446,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD6) ).
fof(f337008,plain,
~ para(sK4,sK5,sK0,sK2),
inference(unit_resulting_resolution,[],[f548,f336977,f447]) ).
fof(f336977,plain,
~ perp(sK4,sK5,sK4,sK1),
inference(unit_resulting_resolution,[],[f281354,f336966,f447]) ).
fof(f336966,plain,
~ perp(sK5,sK4,sK4,sK1),
inference(unit_resulting_resolution,[],[f333513,f333280]) ).
fof(f333513,plain,
! [X0] : ~ circle(X0,sK5,sK1,sK4),
inference(unit_resulting_resolution,[],[f818,f311905]) ).
fof(f818,plain,
~ perp(sK5,sK1,sK1,sK4),
inference(unit_resulting_resolution,[],[f542,f553,f448]) ).
fof(f553,plain,
perp(sK1,sK4,sK2,sK0),
inference(unit_resulting_resolution,[],[f550,f383]) ).
fof(f550,plain,
perp(sK1,sK4,sK0,sK2),
inference(unit_resulting_resolution,[],[f361,f384]) ).
fof(f542,plain,
~ para(sK5,sK1,sK2,sK0),
inference(unit_resulting_resolution,[],[f539,f382]) ).
fof(f382,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD5) ).
fof(f539,plain,
~ para(sK2,sK0,sK5,sK1),
inference(unit_resulting_resolution,[],[f535,f381]) ).
fof(f381,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/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357',ruleD4) ).
fof(f535,plain,
~ para(sK2,sK0,sK1,sK5),
inference(unit_resulting_resolution,[],[f532,f382]) ).
fof(f532,plain,
~ para(sK1,sK5,sK2,sK0),
inference(unit_resulting_resolution,[],[f365,f381]) ).
fof(f365,plain,
~ para(sK1,sK5,sK0,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f281354,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f281350,f381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n032.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 22:39:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.KW7bV6w8YH/Vampire---4.8_23357
% 0.14/0.35 % (23494)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (23495)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.20/0.39 % (23496)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.39 % (23498)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.20/0.40 % (23501)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.40 % (23497)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.20/0.40 % (23499)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.40 % (23500)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 17.58/2.84 % (23500)First to succeed.
% 17.58/2.85 % (23500)Refutation found. Thanks to Tanya!
% 17.58/2.85 % SZS status Theorem for Vampire---4
% 17.58/2.85 % SZS output start Proof for Vampire---4
% See solution above
% 17.58/2.86 % (23500)------------------------------
% 17.58/2.86 % (23500)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 17.58/2.86 % (23500)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 17.58/2.86 % (23500)Termination reason: Refutation
% 17.58/2.86
% 17.58/2.86 % (23500)Memory used [KB]: 70617
% 17.58/2.86 % (23500)Time elapsed: 2.447 s
% 17.58/2.86 % (23500)------------------------------
% 17.58/2.86 % (23500)------------------------------
% 17.58/2.86 % (23494)Success in time 2.501 s
% 17.58/2.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------