TSTP Solution File: GEO608+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO608+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 May 3 02:18:02 EDT 2024
% Result : Theorem 60.68s 8.79s
% Output : CNFRefutation 60.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 41
% Syntax : Number of formulae : 376 ( 15 unt; 0 def)
% Number of atoms : 1009 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1117 ( 484 ~; 478 |; 94 &)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 1088 ( 4 sgn 725 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(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/benchmark/theBenchmark.p',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD57) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X8,X0,X1,X7,X18,X19,X20,X21,X22,X23,X24] :
( ( circle(X20,X8,X18,X19)
& circle(X7,X0,X19,X24)
& coll(X19,X8,X1)
& circle(X7,X0,X18,X23)
& coll(X18,X8,X0)
& circle(X7,X0,X21,X22)
& midp(X7,X1,X0) )
=> perp(X7,X18,X18,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(f96,negated_conjecture,
~ ! [X8,X0,X1,X7,X18,X19,X20,X21,X22,X23,X24] :
( ( circle(X20,X8,X18,X19)
& circle(X7,X0,X19,X24)
& coll(X19,X8,X1)
& circle(X7,X0,X18,X23)
& coll(X18,X8,X0)
& circle(X7,X0,X21,X22)
& midp(X7,X1,X0) )
=> perp(X7,X18,X18,X20) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f103,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(f118,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(f119,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(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f122,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(f123,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(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,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(f128,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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f136,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(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) )
=> perp(X3,X4,X4,X6) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,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(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,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(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,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(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,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(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f195,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,[],[f103]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f221]) ).
fof(f223,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,[],[f122]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f123]) ).
fof(f226,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,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,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,[],[f125]) ).
fof(f230,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,[],[f229]) ).
fof(f234,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,[],[f128]) ).
fof(f235,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,[],[f234]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f252,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,[],[f136]) ).
fof(f253,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,[],[f252]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X3,X4,X4,X6)
& circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X3,X4,X4,X6)
& circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) ),
inference(flattening,[],[f319]) ).
fof(f342,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(f343,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])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X3,X4,X4,X6)
& circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) )
=> ( ~ perp(sK23,sK24,sK24,sK26)
& circle(sK26,sK20,sK24,sK25)
& circle(sK23,sK21,sK25,sK30)
& coll(sK25,sK20,sK22)
& circle(sK23,sK21,sK24,sK29)
& coll(sK24,sK20,sK21)
& circle(sK23,sK21,sK27,sK28)
& midp(sK23,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK23,sK24,sK24,sK26)
& circle(sK26,sK20,sK24,sK25)
& circle(sK23,sK21,sK25,sK30)
& coll(sK25,sK20,sK22)
& circle(sK23,sK21,sK24,sK29)
& coll(sK24,sK20,sK21)
& circle(sK23,sK21,sK27,sK28)
& midp(sK23,sK22,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,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,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f473,plain,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
circle(sK23,sK21,sK25,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
~ perp(sK23,sK24,sK24,sK26),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_106,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ perp(sK23,sK24,sK24,sK26),
inference(cnf_transformation,[],[f480]) ).
cnf(c_164,negated_conjecture,
circle(sK23,sK21,sK25,sK30),
inference(cnf_transformation,[],[f478]) ).
cnf(c_167,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_175,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| midp(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_179,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_184,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| perp(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_200,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| cyclic(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_233,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_275,plain,
( ~ midp(sK23,sK22,sK21)
| midp(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_276,plain,
( ~ midp(sK23,sK22,sK21)
| coll(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_277,plain,
( ~ midp(sK23,sK22,sK21)
| cong(sK23,sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_280,plain,
( ~ coll(sK24,sK20,X0)
| ~ coll(sK24,sK20,sK21)
| coll(X0,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_281,plain,
( ~ coll(sK24,sK20,sK21)
| coll(sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_282,plain,
( ~ midp(X0,sK22,X1)
| ~ midp(sK23,sK22,sK21)
| para(X0,sK23,X1,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_283,plain,
( ~ midp(sK23,sK22,sK21)
| ~ midp(sK21,sK22,sK21)
| para(sK21,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_282]) ).
cnf(c_284,plain,
( ~ midp(sK23,X0,X1)
| ~ midp(sK23,sK22,sK21)
| para(X0,sK22,X1,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_285,plain,
( ~ midp(sK23,sK21,sK21)
| ~ midp(sK23,sK22,sK21)
| para(sK21,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_291,plain,
( ~ circle(sK23,sK21,sK25,sK30)
| perp(sK11(sK21,sK25,sK30,sK23),sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_352,plain,
( ~ midp(sK23,sK21,sK22)
| cong(sK23,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_359,plain,
( ~ midp(sK23,X0,X1)
| ~ midp(sK23,sK21,sK22)
| para(X0,sK21,X1,sK22) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_360,plain,
( ~ midp(sK23,sK21,sK21)
| ~ midp(sK23,sK21,sK22)
| para(sK21,sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_359]) ).
cnf(c_376,plain,
( ~ coll(sK23,sK22,X0)
| ~ coll(sK23,sK22,sK21)
| coll(X0,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_377,plain,
( ~ coll(sK23,sK22,sK21)
| coll(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_388,plain,
( ~ cong(sK23,sK22,sK23,sK21)
| cong(sK23,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_389,plain,
( ~ cong(X0,X1,sK23,sK22)
| ~ cong(sK23,sK22,sK23,sK21)
| cong(X0,X1,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_443,plain,
( ~ perp(sK11(sK21,sK25,sK30,sK23),sK21,sK21,sK23)
| perp(sK21,sK23,sK11(sK21,sK25,sK30,sK23),sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_446,plain,
( ~ perp(X0,X1,sK11(sK21,sK25,sK30,sK23),sK21)
| ~ perp(sK11(sK21,sK25,sK30,sK23),sK21,sK21,sK23)
| para(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_586,plain,
coll(sK23,sK22,sK21),
inference(resolution,[status(thm)],[c_118,c_169]) ).
cnf(c_649,plain,
( ~ coll(X0,sK21,sK24)
| coll(X0,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_650,plain,
( ~ coll(sK21,sK21,sK24)
| coll(sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_649]) ).
cnf(c_660,plain,
( ~ midp(sK23,sK22,sK21)
| para(sK23,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_282]) ).
cnf(c_684,plain,
( ~ coll(sK24,sK20,X0)
| coll(X0,sK21,sK24) ),
inference(resolution,[status(thm)],[c_51,c_167]) ).
cnf(c_691,plain,
( ~ coll(sK23,sK22,X0)
| coll(X0,sK21,sK23) ),
inference(resolution,[status(thm)],[c_51,c_586]) ).
cnf(c_830,plain,
coll(sK21,sK21,sK24),
inference(resolution,[status(thm)],[c_684,c_167]) ).
cnf(c_833,plain,
coll(sK21,sK24,sK21),
inference(resolution,[status(thm)],[c_830,c_49]) ).
cnf(c_857,plain,
( ~ coll(sK21,sK24,X0)
| coll(X0,sK21,sK21) ),
inference(resolution,[status(thm)],[c_833,c_51]) ).
cnf(c_858,plain,
( ~ coll(sK21,sK24,sK21)
| coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_857]) ).
cnf(c_863,plain,
( ~ para(sK23,sK23,sK21,sK21)
| para(sK21,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_870,plain,
( ~ para(X0,X1,sK23,sK23)
| ~ para(sK23,sK23,sK21,sK21)
| para(X0,X1,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_871,plain,
( ~ para(sK23,sK23,sK21,sK21)
| ~ para(sK21,sK21,sK23,sK23)
| para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_870]) ).
cnf(c_1067,plain,
coll(sK21,sK21,sK23),
inference(resolution,[status(thm)],[c_691,c_586]) ).
cnf(c_1109,plain,
coll(sK21,sK23,sK21),
inference(resolution,[status(thm)],[c_1067,c_49]) ).
cnf(c_1253,plain,
( ~ cong(sK23,sK22,sK21,sK23)
| cong(sK21,sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1331,plain,
coll(sK23,sK21,sK21),
inference(resolution,[status(thm)],[c_1109,c_50]) ).
cnf(c_1534,plain,
( ~ cong(sK23,sK21,sK23,sK22)
| ~ cong(sK23,sK22,sK23,sK21)
| cong(sK23,sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_389]) ).
cnf(c_1583,plain,
( ~ perp(sK11(sK21,sK25,sK30,sK23),sK21,sK21,sK23)
| ~ perp(sK21,sK23,sK11(sK21,sK25,sK30,sK23),sK21)
| para(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_446]) ).
cnf(c_1650,plain,
( ~ midp(X0,sK22,X1)
| para(X0,sK23,X1,sK21) ),
inference(resolution,[status(thm)],[c_93,c_169]) ).
cnf(c_1864,plain,
( ~ midp(X0,sK22,X1)
| para(X1,sK21,X0,sK23) ),
inference(resolution,[status(thm)],[c_53,c_1650]) ).
cnf(c_1865,plain,
( ~ midp(sK21,sK22,sK21)
| para(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_1864]) ).
cnf(c_1925,plain,
( ~ midp(X0,sK22,X1)
| para(X1,sK21,sK23,X0) ),
inference(resolution,[status(thm)],[c_1864,c_52]) ).
cnf(c_2058,plain,
( ~ midp(X0,sK22,X1)
| para(sK23,X0,X1,sK21) ),
inference(resolution,[status(thm)],[c_1925,c_53]) ).
cnf(c_2059,plain,
( ~ midp(sK21,sK22,sK21)
| para(sK23,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_2058]) ).
cnf(c_2463,plain,
( ~ cong(sK23,X0,sK23,X1)
| ~ coll(sK23,X0,X1)
| midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_2464,plain,
( ~ cong(sK23,sK21,sK23,sK21)
| ~ coll(sK23,sK21,sK21)
| midp(sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_2463]) ).
cnf(c_2877,plain,
( ~ para(X0,sK21,X1,sK23)
| ~ midp(X0,sK21,X1)
| ~ coll(sK21,sK21,sK23)
| midp(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_2878,plain,
( ~ para(sK21,sK21,sK21,sK23)
| ~ coll(sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_2877]) ).
cnf(c_2960,plain,
( ~ para(X0,X1,X2,sK22)
| ~ para(X0,sK22,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK22,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_2961,plain,
( ~ para(sK21,sK21,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_2960]) ).
cnf(c_2962,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK23,X0,X2)
| midp(sK23,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_4817,plain,
( ~ eqangle(sK23,sK24,X0,X1,X2,X3,X0,X1)
| para(sK23,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_5490,plain,
( ~ para(X0,sK23,X0,sK23)
| coll(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_5495,plain,
( ~ para(sK21,sK23,sK21,sK23)
| coll(sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_5490]) ).
cnf(c_6184,plain,
( ~ midp(X0,sK21,sK23)
| midp(X0,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_6185,plain,
( ~ midp(sK21,sK21,sK23)
| midp(sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_6184]) ).
cnf(c_9323,plain,
( ~ cong(sK23,sK22,sK23,sK21)
| ~ cong(sK21,sK23,sK23,sK22)
| cong(sK21,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_389]) ).
cnf(c_10413,plain,
( ~ eqangle(sK23,sK24,sK23,sK24,sK26,sK24,sK26,sK24)
| ~ coll(sK23,sK26,sK24)
| cyclic(sK24,sK24,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_10414,plain,
( ~ eqangle(sK23,sK24,sK23,sK24,sK26,sK24,sK26,sK24)
| cyclic(sK24,sK24,sK23,sK26)
| coll(sK23,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_11804,plain,
( ~ eqangle(sK23,sK24,sK23,X0,sK23,sK24,sK23,X0)
| para(sK23,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_4817]) ).
cnf(c_11805,plain,
( ~ cyclic(sK24,X0,sK23,sK23)
| eqangle(sK23,sK24,sK23,X0,sK23,sK24,sK23,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_11806,plain,
( ~ eqangle(sK23,sK24,sK23,sK21,sK23,sK24,sK23,sK21)
| para(sK23,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_11804]) ).
cnf(c_11807,plain,
( ~ cyclic(sK24,sK21,sK23,sK23)
| eqangle(sK23,sK24,sK23,sK21,sK23,sK24,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_11805]) ).
cnf(c_11808,plain,
( ~ eqangle(sK23,sK24,sK23,X0,sK23,sK23,sK23,X0)
| para(sK23,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_4817]) ).
cnf(c_11809,plain,
( ~ circle(X0,sK23,X1,sK23)
| ~ perp(X0,sK23,sK23,sK24)
| eqangle(sK23,sK24,sK23,X1,sK23,sK23,sK23,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_11810,plain,
( ~ eqangle(sK23,sK24,sK23,sK21,sK23,sK23,sK23,sK21)
| para(sK23,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_11808]) ).
cnf(c_11811,plain,
( ~ perp(sK21,sK23,sK23,sK24)
| ~ circle(sK21,sK23,sK21,sK23)
| eqangle(sK23,sK24,sK23,sK21,sK23,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_11809]) ).
cnf(c_13638,plain,
( ~ cong(sK21,sK23,sK23,sK21)
| cong(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_14417,plain,
( ~ para(X0,sK24,X1,sK21)
| ~ para(X0,sK21,X1,sK24)
| ~ midp(sK23,X0,X1)
| midp(sK23,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_2962]) ).
cnf(c_14418,plain,
( ~ para(sK21,sK24,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK24)
| ~ midp(sK23,sK21,sK21)
| midp(sK23,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_14417]) ).
cnf(c_16689,plain,
( ~ para(sK21,sK23,X0,X1)
| ~ perp(X0,X1,sK23,sK24)
| perp(sK21,sK23,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_16690,plain,
( ~ para(sK21,sK23,sK21,sK21)
| ~ perp(sK21,sK21,sK23,sK24)
| perp(sK21,sK23,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_16689]) ).
cnf(c_16713,plain,
( ~ cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK24,sK21,sK24)
| perp(sK21,sK21,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_35097,plain,
( ~ perp(sK23,X0,sK24,sK23)
| perp(sK24,sK23,sK23,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_35098,plain,
( ~ perp(sK23,sK21,sK24,sK23)
| perp(sK24,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_35097]) ).
cnf(c_38981,plain,
( ~ cyclic(X0,sK24,X1,sK23)
| cyclic(sK24,X1,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_38982,plain,
( ~ cyclic(sK21,sK24,sK21,sK23)
| cyclic(sK24,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_38981]) ).
cnf(c_41786,plain,
( ~ cyclic(sK24,sK23,X0,X1)
| cyclic(sK24,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_41787,plain,
( ~ cyclic(sK24,sK23,sK21,sK21)
| cyclic(sK24,sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_41786]) ).
cnf(c_54606,plain,
( ~ cong(sK24,sK23,X0,sK23)
| ~ cong(sK24,sK26,X0,sK26)
| ~ cyclic(sK24,X0,sK23,sK26)
| perp(sK23,sK24,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_54646,plain,
( ~ cyclic(sK24,sK23,X0,sK26)
| cyclic(sK24,X0,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_54654,plain,
( ~ cyclic(X0,sK24,X1,sK23)
| ~ cyclic(X0,sK24,X1,sK26)
| cyclic(sK24,X1,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_54730,plain,
( ~ eqangle(X0,sK24,X0,sK26,X1,sK23,X1,sK26)
| ~ cyclic(sK24,sK26,X0,X1)
| ~ cyclic(sK24,sK26,X0,sK23)
| ~ cyclic(sK24,sK26,X0,sK26)
| cong(sK24,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_54869,plain,
( ~ cyclic(X0,sK24,X1,sK23)
| ~ cyclic(X0,sK24,X1,sK26)
| cyclic(sK24,X1,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_54998,plain,
( ~ eqangle(sK23,sK24,sK26,sK24,sK23,X0,sK26,X0)
| eqangle(sK23,sK24,sK23,X0,sK26,sK24,sK26,X0) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_55008,plain,
( ~ cyclic(sK24,sK23,X0,X1)
| cyclic(sK24,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_55291,plain,
( ~ para(X0,X1,X2,sK24)
| ~ para(X0,sK24,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK24,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_55321,plain,
( ~ para(sK23,sK24,X0,X1)
| eqangle(sK23,sK24,sK26,sK24,X0,X1,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_55367,plain,
( ~ para(sK23,sK24,X0,X1)
| eqangle(sK23,sK24,X2,X3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_57013,plain,
( ~ eqangle(X0,sK24,X0,sK23,X1,sK24,X1,sK23)
| ~ coll(X0,X1,sK23)
| cyclic(sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_57014,plain,
( ~ eqangle(sK21,sK24,sK21,sK23,sK21,sK24,sK21,sK23)
| ~ coll(sK21,sK21,sK23)
| cyclic(sK24,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_57013]) ).
cnf(c_57072,plain,
( ~ cyclic(sK24,X0,sK23,X1)
| cyclic(X0,sK24,sK23,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_57073,plain,
( ~ cyclic(sK24,sK21,sK23,sK21)
| cyclic(sK21,sK24,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_57072]) ).
cnf(c_57296,plain,
( ~ cyclic(X0,sK24,X1,X2)
| ~ cyclic(X0,sK24,X1,sK23)
| cyclic(sK24,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_57669,plain,
( ~ cyclic(X0,X1,sK23,sK26)
| cyclic(X1,sK23,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_58032,plain,
( ~ cong(X0,sK23,X0,X1)
| ~ cong(X0,sK23,X0,sK23)
| circle(X0,sK23,X1,sK23) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_58033,plain,
( ~ cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK23,sK21,sK21)
| circle(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_58032]) ).
cnf(c_58365,plain,
( ~ cyclic(X0,X1,sK24,X2)
| cyclic(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_58369,plain,
( ~ cyclic(X0,sK24,X1,X2)
| cyclic(X0,sK24,X2,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_58373,plain,
( ~ eqangle(X0,X1,X0,sK24,X2,X1,X2,sK24)
| ~ coll(X0,X2,sK24)
| cyclic(X1,sK24,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_58374,plain,
( ~ eqangle(sK21,sK21,sK21,sK24,sK21,sK21,sK21,sK24)
| ~ coll(sK21,sK21,sK24)
| cyclic(sK21,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_58373]) ).
cnf(c_58697,plain,
( ~ midp(X0,sK24,X1)
| cong(X0,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_60136,plain,
( ~ eqangle(X0,sK24,X1,X2,X0,X3,X1,X2)
| para(X0,sK24,X0,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_60138,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,sK24,X0,X1)
| para(X2,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_60139,plain,
( ~ perp(sK21,sK24,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_60138]) ).
cnf(c_60208,plain,
( ~ cyclic(X0,sK23,X1,X2)
| ~ cyclic(X0,sK23,X1,sK24)
| cyclic(sK23,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_61775,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK24,X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_61777,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK24,sK21,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_61775]) ).
cnf(c_61806,plain,
( ~ perp(X0,X1,X0,sK24)
| perp(X0,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_61807,plain,
( ~ perp(sK21,sK21,sK21,sK24)
| perp(sK21,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_61806]) ).
cnf(c_63506,plain,
( ~ para(sK23,X0,X1,X2)
| ~ perp(X1,X2,sK24,sK23)
| perp(sK23,X0,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_63507,plain,
( ~ para(sK23,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK24,sK23)
| perp(sK23,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_63506]) ).
cnf(c_64285,plain,
( ~ perp(sK24,sK23,sK23,X0)
| ~ midp(sK23,sK24,X0)
| cong(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_64286,plain,
( ~ perp(sK24,sK23,sK23,sK21)
| ~ midp(sK23,sK24,sK21)
| cong(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_64285]) ).
cnf(c_65077,plain,
( ~ cyclic(X0,sK24,sK23,X1)
| cyclic(X0,sK23,sK24,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_65078,plain,
( ~ cyclic(sK21,sK24,sK23,sK21)
| cyclic(sK21,sK23,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_65077]) ).
cnf(c_66449,plain,
( ~ cong(X0,sK23,X1,sK23)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_66450,plain,
( ~ cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK24,sK21,sK24)
| perp(sK21,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_66449]) ).
cnf(c_67382,plain,
( ~ cyclic(X0,sK24,sK23,X1)
| cyclic(X0,sK24,X1,sK23) ),
inference(instantiation,[status(thm)],[c_58369]) ).
cnf(c_67383,plain,
( ~ cyclic(sK21,sK24,sK23,sK21)
| cyclic(sK21,sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_67382]) ).
cnf(c_67639,plain,
( ~ cyclic(X0,sK24,X1,X2)
| cyclic(sK24,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_67640,plain,
( ~ cyclic(sK21,sK24,sK21,sK21)
| cyclic(sK24,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_67639]) ).
cnf(c_67695,plain,
( ~ cyclic(X0,sK23,sK24,X1)
| cyclic(X0,sK23,X1,sK24) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_67696,plain,
( ~ cyclic(sK21,sK23,sK24,sK21)
| cyclic(sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_67695]) ).
cnf(c_69272,plain,
( ~ cyclic(X0,X1,X2,sK24)
| cyclic(X1,X0,X2,sK24) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_70391,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X0,sK24)
| para(X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_70392,plain,
( ~ perp(sK21,sK21,sK21,sK24)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_70391]) ).
cnf(c_70821,plain,
( ~ cong(X0,X0,X1,X0)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_70822,plain,
( ~ cong(sK21,sK24,sK21,sK24)
| ~ cong(sK21,sK21,sK21,sK21)
| perp(sK21,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_70821]) ).
cnf(c_71796,plain,
( ~ midp(X0,sK23,X1)
| cong(X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_71797,plain,
( ~ midp(sK21,sK23,sK21)
| cong(sK21,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_71796]) ).
cnf(c_73191,plain,
( ~ para(X0,sK24,X0,sK24)
| eqangle(X0,sK24,X0,sK23,X0,sK24,X0,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_73192,plain,
( ~ para(sK21,sK24,sK21,sK24)
| eqangle(sK21,sK24,sK21,sK23,sK21,sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_73191]) ).
cnf(c_74195,plain,
( ~ cyclic(X0,sK23,sK24,sK24)
| cyclic(X0,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_58365]) ).
cnf(c_74196,plain,
( ~ cyclic(sK21,sK23,sK24,sK24)
| cyclic(sK21,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_74195]) ).
cnf(c_74728,plain,
( ~ eqangle(X0,sK24,X0,X1,X0,sK24,X0,X1)
| para(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_60136]) ).
cnf(c_74729,plain,
( ~ cyclic(sK24,X0,X1,X1)
| eqangle(X1,sK24,X1,X0,X1,sK24,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_74730,plain,
( ~ eqangle(sK21,sK24,sK21,sK21,sK21,sK24,sK21,sK21)
| para(sK21,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_74728]) ).
cnf(c_74731,plain,
( ~ cyclic(sK24,sK21,sK21,sK21)
| eqangle(sK21,sK24,sK21,sK21,sK21,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_74729]) ).
cnf(c_77351,plain,
( ~ para(sK23,sK24,sK23,sK24)
| eqangle(sK23,sK24,sK26,sK24,sK23,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_55321]) ).
cnf(c_77367,plain,
( ~ para(sK23,sK24,sK23,sK24)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_55291]) ).
cnf(c_77368,plain,
( ~ para(sK23,sK24,sK23,sK24)
| ~ midp(sK21,sK23,sK23)
| midp(sK21,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_77367]) ).
cnf(c_78129,plain,
( ~ cyclic(sK24,sK23,sK26,sK23)
| cyclic(sK24,sK26,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_55008]) ).
cnf(c_78848,plain,
( ~ eqangle(sK23,sK24,sK26,sK24,sK23,sK24,sK26,sK24)
| eqangle(sK23,sK24,sK23,sK24,sK26,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_54998]) ).
cnf(c_79155,plain,
( ~ cong(sK24,sK23,sK23,sK23)
| ~ cong(sK24,sK26,sK23,sK26)
| ~ cyclic(sK24,sK23,sK23,sK26)
| perp(sK23,sK24,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_54606]) ).
cnf(c_79286,plain,
( ~ cong(X0,sK23,X0,sK23)
| ~ coll(X0,sK23,sK23)
| midp(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_79287,plain,
( ~ cong(sK21,sK23,sK21,sK23)
| ~ coll(sK21,sK23,sK23)
| midp(sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_79286]) ).
cnf(c_81771,plain,
( ~ cyclic(X0,sK24,sK24,sK23)
| cyclic(sK24,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_57296]) ).
cnf(c_81772,plain,
( ~ cyclic(sK21,sK24,sK24,sK23)
| cyclic(sK24,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_81771]) ).
cnf(c_81835,plain,
( ~ cyclic(sK24,sK24,sK23,sK23)
| ~ cyclic(sK24,sK24,sK23,sK26)
| cyclic(sK24,sK23,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_54869]) ).
cnf(c_81836,plain,
( ~ cyclic(sK24,sK24,sK23,sK23)
| ~ cyclic(sK24,sK24,sK23,sK26)
| cyclic(sK24,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_54654]) ).
cnf(c_81845,plain,
( ~ cyclic(sK24,sK24,sK23,sK26)
| cyclic(sK24,sK23,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_57669]) ).
cnf(c_82454,plain,
( ~ cyclic(sK23,X0,sK24,sK24)
| cyclic(X0,sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_69272]) ).
cnf(c_82455,plain,
( ~ cyclic(sK23,sK21,sK24,sK24)
| cyclic(sK21,sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_82454]) ).
cnf(c_82937,plain,
( ~ cyclic(X0,sK23,X1,sK24)
| cyclic(sK23,X1,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_60208]) ).
cnf(c_82938,plain,
( ~ cyclic(sK21,sK23,sK21,sK24)
| cyclic(sK23,sK21,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_82937]) ).
cnf(c_88193,plain,
( ~ cyclic(sK24,sK23,sK26,sK26)
| cyclic(sK24,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_54646]) ).
cnf(c_91551,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_58697]) ).
cnf(c_91555,plain,
( ~ midp(sK21,sK24,sK24)
| cong(sK21,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_91551]) ).
cnf(c_93178,plain,
( ~ cyclic(X0,sK24,sK23,sK24)
| cyclic(X0,sK24,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_67382]) ).
cnf(c_93179,plain,
( ~ cyclic(sK21,sK24,sK23,sK24)
| cyclic(sK21,sK24,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_93178]) ).
cnf(c_95530,plain,
( ~ eqangle(sK23,sK24,sK23,sK26,X0,sK23,X0,sK26)
| ~ cyclic(sK24,sK26,sK23,X0)
| ~ cyclic(sK24,sK26,sK23,sK23)
| ~ cyclic(sK24,sK26,sK23,sK26)
| cong(sK24,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_54730]) ).
cnf(c_100332,plain,
( ~ eqangle(sK23,sK24,sK23,sK26,sK23,sK23,sK23,sK26)
| ~ cyclic(sK24,sK26,sK23,sK23)
| ~ cyclic(sK24,sK26,sK23,sK26)
| cong(sK24,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_95530]) ).
cnf(c_100333,plain,
( ~ para(sK23,sK24,sK23,sK23)
| eqangle(sK23,sK24,sK23,sK26,sK23,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_55367]) ).
cnf(c_100334,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_100333,c_100332,c_93179,c_91555,c_88193,c_82938,c_82455,c_81845,c_81835,c_81836,c_81772,c_79287,c_79155,c_78848,c_78129,c_77368,c_77351,c_74731,c_74730,c_74196,c_73192,c_71797,c_70822,c_70392,c_67696,c_67640,c_67383,c_66450,c_65078,c_64286,c_63507,c_61807,c_61777,c_60139,c_58374,c_58033,c_57073,c_57014,c_41787,c_38982,c_35098,c_16713,c_16690,c_14418,c_13638,c_11811,c_11810,c_11807,c_11806,c_10413,c_10414,c_9323,c_6185,c_5495,c_2961,c_2878,c_2464,c_2059,c_1865,c_1583,c_1534,c_1331,c_1253,c_871,c_863,c_858,c_660,c_650,c_443,c_388,c_377,c_360,c_352,c_291,c_285,c_283,c_281,c_277,c_276,c_275,c_233,c_200,c_184,c_179,c_175,c_162,c_164,c_167,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO608+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.15 % Command : run_iprover %s %d THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri May 3 01:21:29 EDT 2024
% 0.12/0.37 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 60.68/8.79 % SZS status Started for theBenchmark.p
% 60.68/8.79 % SZS status Theorem for theBenchmark.p
% 60.68/8.79
% 60.68/8.79 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 60.68/8.79
% 60.68/8.79 ------ iProver source info
% 60.68/8.79
% 60.68/8.79 git: date: 2024-05-02 19:28:25 +0000
% 60.68/8.79 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 60.68/8.79 git: non_committed_changes: false
% 60.68/8.79
% 60.68/8.79 ------ Parsing...
% 60.68/8.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 60.68/8.79
% 60.68/8.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 60.68/8.79
% 60.68/8.79 ------ Preprocessing...
% 60.68/8.79
% 60.68/8.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 60.68/8.79 ------ Proving...
% 60.68/8.79 ------ Problem Properties
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79 clauses 120
% 60.68/8.79 conjectures 8
% 60.68/8.79 EPR 83
% 60.68/8.79 Horn 110
% 60.68/8.79 unary 8
% 60.68/8.79 binary 37
% 60.68/8.79 lits 336
% 60.68/8.79 lits eq 4
% 60.68/8.79 fd_pure 0
% 60.68/8.79 fd_pseudo 0
% 60.68/8.79 fd_cond 0
% 60.68/8.79 fd_pseudo_cond 4
% 60.68/8.79 AC symbols 0
% 60.68/8.79
% 60.68/8.79 ------ Input Options Time Limit: Unbounded
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79 ------
% 60.68/8.79 Current options:
% 60.68/8.79 ------
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79 ------ Proving...
% 60.68/8.79
% 60.68/8.79
% 60.68/8.79 % SZS status Theorem for theBenchmark.p
% 60.68/8.79
% 60.68/8.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.68/8.79
% 60.68/8.80
%------------------------------------------------------------------------------