TSTP Solution File: GEO590+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO590+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 : n019.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 14:48:45 EDT 2023
% Result : Theorem 44.87s 6.89s
% Output : Refutation 44.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 36
% Syntax : Number of formulae : 304 ( 162 unt; 0 def)
% Number of atoms : 580 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 441 ( 165 ~; 146 |; 77 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 627 (; 605 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f556953,plain,
$false,
inference(subsumption_resolution,[],[f556851,f59512]) ).
fof(f59512,plain,
eqangle(sK9,sK4,sK9,sK4,sK8,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f58837,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD41) ).
fof(f58837,plain,
cyclic(sK4,sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f58506,f58539,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD17) ).
fof(f58539,plain,
cyclic(sK5,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f58362,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD14) ).
fof(f58362,plain,
cyclic(sK5,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f58271,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD15) ).
fof(f58271,plain,
cyclic(sK5,sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f753,f6403,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD42b) ).
fof(f6403,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f5113,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD40) ).
fof(f5113,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f5103,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD4) ).
fof(f5103,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f500,f377,f431]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD63) ).
fof(f377,plain,
midp(sK7,sK5,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK8,sK6,sK8,sK9)
& coll(sK9,sK5,sK6)
& coll(sK9,sK4,sK8)
& perp(sK6,sK7,sK6,sK8)
& perp(sK4,sK5,sK4,sK8)
& midp(sK7,sK5,sK4)
& perp(sK6,sK4,sK6,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> ( ~ cong(sK8,sK6,sK8,sK9)
& coll(sK9,sK5,sK6)
& coll(sK9,sK4,sK8)
& perp(sK6,sK7,sK6,sK8)
& perp(sK4,sK5,sK4,sK8)
& midp(sK7,sK5,sK4)
& perp(sK6,sK4,sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> cong(X4,X2,X4,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X2,X3,X4,X7,X0,X5] :
( ( coll(X5,X3,X4)
& coll(X5,X2,X0)
& perp(X4,X7,X4,X0)
& perp(X2,X3,X2,X0)
& midp(X7,X3,X2)
& perp(X4,X2,X4,X3) )
=> cong(X0,X4,X0,X5) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X2,X3,X4,X7,X0,X5] :
( ( coll(X5,X3,X4)
& coll(X5,X2,X0)
& perp(X4,X7,X4,X0)
& perp(X2,X3,X2,X0)
& midp(X7,X3,X2)
& perp(X4,X2,X4,X3) )
=> cong(X0,X4,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',exemplo6GDDFULL416052) ).
fof(f500,plain,
midp(sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f377,f383]) ).
fof(f383,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD11) ).
fof(f753,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f508,f508,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD3) ).
fof(f508,plain,
coll(sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f380,f386]) ).
fof(f386,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD1) ).
fof(f380,plain,
coll(sK9,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f58506,plain,
cyclic(sK5,sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f58351,f395]) ).
fof(f58351,plain,
cyclic(sK5,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f58270,f396]) ).
fof(f58270,plain,
cyclic(sK5,sK8,sK4,sK4),
inference(unit_resulting_resolution,[],[f748,f6403,f413]) ).
fof(f748,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f523,f523,f405]) ).
fof(f523,plain,
coll(sK8,sK9,sK4),
inference(unit_resulting_resolution,[],[f508,f387]) ).
fof(f387,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD2) ).
fof(f556851,plain,
~ eqangle(sK9,sK4,sK9,sK4,sK8,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f10998,f389739,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD74) ).
fof(f389739,plain,
~ perp(sK9,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f243887,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD7) ).
fof(f243887,plain,
~ perp(sK9,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f149299,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD8) ).
fof(f149299,plain,
~ perp(sK4,sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f26533,f132622,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD52) ).
fof(f132622,plain,
~ cong(sK4,sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f127693,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD24) ).
fof(f127693,plain,
~ cong(sK9,sK6,sK4,sK6),
inference(subsumption_resolution,[],[f127393,f39422]) ).
fof(f39422,plain,
~ perp(sK6,sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f618,f27621,f411]) ).
fof(f27621,plain,
midp(sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f1979,f11145,f26557,f433]) ).
fof(f433,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD45) ).
fof(f26557,plain,
midp(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f26189,f383]) ).
fof(f26189,plain,
midp(sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f1842,f14867,f25878,f433]) ).
fof(f25878,plain,
midp(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f25467,f383]) ).
fof(f25467,plain,
midp(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f6904,f736,f14876,f433]) ).
fof(f14876,plain,
para(sK4,sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f9033,f9034,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD9) ).
fof(f9034,plain,
perp(sK11(sK4,sK5,sK5,sK7),sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f6852,f402]) ).
fof(f6852,plain,
perp(sK11(sK4,sK5,sK5,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f6834,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleX11) ).
fof(f6834,plain,
circle(sK7,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f581,f581,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD12) ).
fof(f581,plain,
cong(sK7,sK4,sK7,sK5),
inference(unit_resulting_resolution,[],[f500,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD68) ).
fof(f9033,plain,
perp(sK4,sK7,sK11(sK4,sK5,sK5,sK7),sK4),
inference(unit_resulting_resolution,[],[f6852,f403]) ).
fof(f736,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f561,f561,f405]) ).
fof(f561,plain,
coll(sK4,sK5,sK7),
inference(unit_resulting_resolution,[],[f525,f386]) ).
fof(f525,plain,
coll(sK4,sK7,sK5),
inference(unit_resulting_resolution,[],[f505,f387]) ).
fof(f505,plain,
coll(sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f500,f384]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD69) ).
fof(f6904,plain,
midp(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f1418,f6882,f390]) ).
fof(f390,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD67) ).
fof(f6882,plain,
cong(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f500,f6871,f411]) ).
fof(f6871,plain,
perp(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f6856,f402]) ).
fof(f6856,plain,
perp(sK4,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f6849,f403]) ).
fof(f6849,plain,
perp(sK5,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f504,f6830,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD53) ).
fof(f6830,plain,
circle(sK7,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f580,f580,f408]) ).
fof(f580,plain,
cong(sK7,sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f377,f385]) ).
fof(f504,plain,
coll(sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f384]) ).
fof(f1418,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f504,f1038,f405]) ).
fof(f1038,plain,
coll(sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f740,f386]) ).
fof(f740,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f549,f549,f405]) ).
fof(f549,plain,
coll(sK5,sK4,sK7),
inference(unit_resulting_resolution,[],[f524,f386]) ).
fof(f524,plain,
coll(sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f504,f387]) ).
fof(f14867,plain,
para(sK7,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f700,f677,f468]) ).
fof(f677,plain,
perp(sK8,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f651,f402]) ).
fof(f651,plain,
perp(sK8,sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f637,f403]) ).
fof(f637,plain,
perp(sK6,sK7,sK8,sK6),
inference(unit_resulting_resolution,[],[f379,f402]) ).
fof(f379,plain,
perp(sK6,sK7,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f700,plain,
perp(sK7,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f677,f403]) ).
fof(f1842,plain,
coll(sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f800,f1384,f405]) ).
fof(f1384,plain,
coll(sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f1027,f386]) ).
fof(f1027,plain,
coll(sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f744,f737,f405]) ).
fof(f737,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f525,f525,f405]) ).
fof(f744,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f522,f522,f405]) ).
fof(f522,plain,
coll(sK6,sK9,sK5),
inference(unit_resulting_resolution,[],[f509,f387]) ).
fof(f509,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f381,f386]) ).
fof(f381,plain,
coll(sK9,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f800,plain,
coll(sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f743,f386]) ).
fof(f743,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f521,f521,f405]) ).
fof(f521,plain,
coll(sK5,sK9,sK6),
inference(unit_resulting_resolution,[],[f381,f387]) ).
fof(f11145,plain,
para(sK6,sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f6040,f10874,f465]) ).
fof(f465,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.BxYXwipPeT/Vampire---4.8_28535',ruleD6) ).
fof(f10874,plain,
para(sK6,sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f7096,f10850,f432]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD44) ).
fof(f10850,plain,
midp(sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f1813,f10727,f390]) ).
fof(f10727,plain,
cong(sK8,sK7,sK8,sK7),
inference(unit_resulting_resolution,[],[f6904,f10457,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD55) ).
fof(f10457,plain,
perp(sK8,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f9604,f403]) ).
fof(f9604,plain,
perp(sK7,sK7,sK8,sK4),
inference(unit_resulting_resolution,[],[f6079,f704,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/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD10) ).
fof(f704,plain,
perp(sK5,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f681,f403]) ).
fof(f681,plain,
perp(sK8,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f653,f402]) ).
fof(f653,plain,
perp(sK8,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f638,f403]) ).
fof(f638,plain,
perp(sK4,sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f378,f402]) ).
fof(f378,plain,
perp(sK4,sK5,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f6079,plain,
para(sK7,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f5999,f6057,f432]) ).
fof(f6057,plain,
midp(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f1828,f5989,f390]) ).
fof(f5989,plain,
cong(sK7,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f5972,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD23) ).
fof(f5972,plain,
cong(sK7,sK6,sK4,sK7),
inference(unit_resulting_resolution,[],[f5957,f401]) ).
fof(f5957,plain,
cong(sK4,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f5944,f400]) ).
fof(f5944,plain,
cong(sK4,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f500,f684,f411]) ).
fof(f684,plain,
perp(sK4,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f661,f403]) ).
fof(f661,plain,
perp(sK6,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f648,f402]) ).
fof(f648,plain,
perp(sK6,sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f376,f403]) ).
fof(f376,plain,
perp(sK6,sK4,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1828,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f561,f1366,f405]) ).
fof(f1366,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f1023,f386]) ).
fof(f1023,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f744,f737,f405]) ).
fof(f5999,plain,
midp(sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f882,f5981,f390]) ).
fof(f5981,plain,
cong(sK7,sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f5964,f400]) ).
fof(f5964,plain,
cong(sK7,sK6,sK5,sK7),
inference(unit_resulting_resolution,[],[f5953,f401]) ).
fof(f5953,plain,
cong(sK5,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f5945,f400]) ).
fof(f5945,plain,
cong(sK5,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f377,f650,f411]) ).
fof(f650,plain,
perp(sK5,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f636,f403]) ).
fof(f636,plain,
perp(sK6,sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f402]) ).
fof(f882,plain,
coll(sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f744,f747,f405]) ).
fof(f747,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f505,f505,f405]) ).
fof(f1813,plain,
coll(sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f1219,f1359,f405]) ).
fof(f1359,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f736,f386]) ).
fof(f1219,plain,
coll(sK7,sK4,sK8),
inference(unit_resulting_resolution,[],[f897,f386]) ).
fof(f897,plain,
coll(sK7,sK8,sK4),
inference(unit_resulting_resolution,[],[f746,f748,f405]) ).
fof(f746,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f504,f504,f405]) ).
fof(f7096,plain,
midp(sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f1586,f6968,f390]) ).
fof(f6968,plain,
cong(sK6,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f6904,f6916,f404]) ).
fof(f6916,plain,
perp(sK6,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f5956,f5956,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD56) ).
fof(f5956,plain,
cong(sK6,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f5944,f401]) ).
fof(f1586,plain,
coll(sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f1038,f1158,f405]) ).
fof(f1158,plain,
coll(sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f882,f386]) ).
fof(f6040,plain,
para(sK7,sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f377,f6006,f432]) ).
fof(f6006,plain,
midp(sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f5999,f383]) ).
fof(f1979,plain,
coll(sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f782,f1482,f405]) ).
fof(f1482,plain,
coll(sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f1059,f386]) ).
fof(f1059,plain,
coll(sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f745,f749,f405]) ).
fof(f749,plain,
coll(sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f545,f545,f405]) ).
fof(f545,plain,
coll(sK8,sK4,sK9),
inference(unit_resulting_resolution,[],[f523,f386]) ).
fof(f745,plain,
coll(sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f541,f541,f405]) ).
fof(f541,plain,
coll(sK6,sK5,sK9),
inference(unit_resulting_resolution,[],[f522,f386]) ).
fof(f782,plain,
coll(sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f751,f386]) ).
fof(f751,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f381,f381,f405]) ).
fof(f618,plain,
~ cong(sK6,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f611,f401]) ).
fof(f611,plain,
~ cong(sK9,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f598,f400]) ).
fof(f598,plain,
~ cong(sK9,sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f587,f401]) ).
fof(f587,plain,
~ cong(sK8,sK6,sK9,sK8),
inference(unit_resulting_resolution,[],[f382,f400]) ).
fof(f382,plain,
~ cong(sK8,sK6,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f127393,plain,
( perp(sK6,sK9,sK9,sK6)
| ~ cong(sK9,sK6,sK4,sK6) ),
inference(duplicate_literal_removal,[],[f127228]) ).
fof(f127228,plain,
( perp(sK6,sK9,sK9,sK6)
| ~ cong(sK9,sK6,sK4,sK6)
| ~ cong(sK9,sK6,sK4,sK6) ),
inference(resolution,[],[f409,f64869]) ).
fof(f64869,plain,
cyclic(sK9,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f59944,f59944,f439]) ).
fof(f59944,plain,
cyclic(sK5,sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f58994,f58996,f439]) ).
fof(f58996,plain,
cyclic(sK5,sK5,sK9,sK6),
inference(unit_resulting_resolution,[],[f58598,f58653,f439]) ).
fof(f58653,plain,
cyclic(sK4,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f58417,f395]) ).
fof(f58417,plain,
cyclic(sK4,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f58283,f396]) ).
fof(f58283,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f752,f6378,f413]) ).
fof(f6378,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f5117,f452]) ).
fof(f5117,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f5104,f398]) ).
fof(f5104,plain,
para(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f377,f500,f431]) ).
fof(f752,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f509,f509,f405]) ).
fof(f58598,plain,
cyclic(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f58395,f395]) ).
fof(f58395,plain,
cyclic(sK4,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f58280,f396]) ).
fof(f58280,plain,
cyclic(sK4,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f744,f6378,f413]) ).
fof(f58994,plain,
cyclic(sK5,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f58452,f58653,f439]) ).
fof(f58452,plain,
cyclic(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f58329,f394]) ).
fof(f394,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/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD16) ).
fof(f58329,plain,
cyclic(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f58267,f396]) ).
fof(f58267,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f742,f6403,f413]) ).
fof(f742,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f524,f524,f405]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| perp(X2,X0,X0,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox/tmp/tmp.BxYXwipPeT/Vampire---4.8_28535',ruleD57) ).
fof(f26533,plain,
midp(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f1820,f6135,f26188,f433]) ).
fof(f26188,plain,
midp(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f1031,f14879,f25878,f433]) ).
fof(f14879,plain,
para(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f9046,f9028,f468]) ).
fof(f9028,plain,
perp(sK11(sK5,sK4,sK4,sK7),sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f6848,f402]) ).
fof(f6848,plain,
perp(sK11(sK5,sK4,sK4,sK7),sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f6830,f416]) ).
fof(f9046,plain,
perp(sK7,sK5,sK11(sK5,sK4,sK4,sK7),sK5),
inference(unit_resulting_resolution,[],[f9028,f403]) ).
fof(f1031,plain,
coll(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f737,f386]) ).
fof(f6135,plain,
para(sK5,sK6,sK5,sK4),
inference(unit_resulting_resolution,[],[f6012,f398]) ).
fof(f6012,plain,
para(sK5,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f377,f5999,f431]) ).
fof(f1820,plain,
coll(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f868,f1366,f405]) ).
fof(f868,plain,
coll(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f742,f386]) ).
fof(f10998,plain,
perp(sK8,sK4,sK8,sK4),
inference(unit_resulting_resolution,[],[f9604,f10868,f466]) ).
fof(f10868,plain,
para(sK8,sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f6904,f10850,f432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 18:08:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.40 % (28778)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (28812)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.41 % (28815)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.41 % (28814)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)
% 0.20/0.41 % (28813)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.41 % (28816)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)
% 0.20/0.41 % (28817)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)
% 0.20/0.41 % (28818)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.48 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.86 TRYING [1]
% 0.20/0.86 TRYING [2]
% 0.20/0.92 TRYING [3]
% 5.66/1.21 TRYING [3]
% 44.87/6.87 % (28818)First to succeed.
% 44.87/6.89 % (28818)Refutation found. Thanks to Tanya!
% 44.87/6.89 % SZS status Theorem for Vampire---4
% 44.87/6.89 % SZS output start Proof for Vampire---4
% See solution above
% 44.87/6.89 % (28818)------------------------------
% 44.87/6.89 % (28818)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 44.87/6.89 % (28818)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 44.87/6.89 % (28818)Termination reason: Refutation
% 44.87/6.89
% 44.87/6.89 % (28818)Memory used [KB]: 261232
% 44.87/6.89 % (28818)Time elapsed: 6.461 s
% 44.87/6.89 % (28818)------------------------------
% 44.87/6.89 % (28818)------------------------------
% 44.87/6.89 % (28778)Success in time 6.517 s
% 44.87/6.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------