TSTP Solution File: GEO628+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:11 EDT 2023
% Result : Theorem 42.52s 6.72s
% Output : CNFRefutation 42.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 34
% Syntax : Number of formulae : 368 ( 102 unt; 0 def)
% Number of atoms : 867 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 819 ( 320 ~; 311 |; 136 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-5 aty)
% Number of variables : 1001 ( 0 sgn; 692 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(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/benchmark/theBenchmark.p',ruleD12) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
( ( perp(X19,X20,X18,X21)
& perp(X5,X12,X8,X21)
& coll(X20,X0,X2)
& perp(X20,X8,X0,X2)
& coll(X19,X0,X1)
& perp(X19,X8,X0,X1)
& circle(X7,X0,X8,X23)
& coll(X12,X0,X1)
& perp(X12,X18,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X18,X0,X2)
& circle(X7,X0,X18,X22)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X18,X8,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
( ( perp(X19,X20,X18,X21)
& perp(X5,X12,X8,X21)
& coll(X20,X0,X2)
& perp(X20,X8,X0,X2)
& coll(X19,X0,X1)
& perp(X19,X8,X0,X1)
& circle(X7,X0,X8,X23)
& coll(X12,X0,X1)
& perp(X12,X18,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X18,X0,X2)
& circle(X7,X0,X18,X22)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X18,X8,X21) ),
inference(negated_conjecture,[],[f95]) ).
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(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(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(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
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(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(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(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
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(f147,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(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X4,X7,X10) ),
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(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(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(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(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
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(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
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(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(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(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(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
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(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(f280,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,[],[f147]) ).
fof(f281,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,[],[f280]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK20,sK24,sK27,sK30)
& perp(sK28,sK29,sK24,sK30)
& perp(sK25,sK26,sK27,sK30)
& coll(sK29,sK20,sK22)
& perp(sK29,sK27,sK20,sK22)
& coll(sK28,sK20,sK21)
& perp(sK28,sK27,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& coll(sK26,sK20,sK21)
& perp(sK26,sK24,sK20,sK21)
& coll(sK25,sK20,sK22)
& perp(sK25,sK24,sK20,sK22)
& circle(sK23,sK20,sK24,sK31)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK20,sK24,sK27,sK30)
& perp(sK28,sK29,sK24,sK30)
& perp(sK25,sK26,sK27,sK30)
& coll(sK29,sK20,sK22)
& perp(sK29,sK27,sK20,sK22)
& coll(sK28,sK20,sK21)
& perp(sK28,sK27,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& coll(sK26,sK20,sK21)
& perp(sK26,sK24,sK20,sK21)
& coll(sK25,sK20,sK22)
& perp(sK25,sK24,sK20,sK22)
& circle(sK23,sK20,sK24,sK31)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32])],[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(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
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(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(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(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
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(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
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(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(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(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(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
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(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(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f475,plain,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
perp(sK25,sK26,sK27,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
perp(sK28,sK29,sK24,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
~ cyclic(sK20,sK24,sK27,sK30),
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_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
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_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
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_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
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_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
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_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_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_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_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
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_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_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK20,sK24,sK27,sK30),
inference(cnf_transformation,[],[f486]) ).
cnf(c_163,negated_conjecture,
perp(sK28,sK29,sK24,sK30),
inference(cnf_transformation,[],[f485]) ).
cnf(c_164,negated_conjecture,
perp(sK25,sK26,sK27,sK30),
inference(cnf_transformation,[],[f484]) ).
cnf(c_165,negated_conjecture,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f483]) ).
cnf(c_166,negated_conjecture,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f482]) ).
cnf(c_167,negated_conjecture,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f481]) ).
cnf(c_170,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_171,negated_conjecture,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_172,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_173,negated_conjecture,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_181,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_184,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_190,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_239,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_6678,plain,
coll(sK29,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_6679,plain,
coll(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_6680,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_170,c_49]) ).
cnf(c_6681,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_172,c_49]) ).
cnf(c_6691,plain,
coll(sK20,sK28,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_6694,plain,
coll(sK22,sK29,sK20),
inference(superposition,[status(thm)],[c_6678,c_50]) ).
cnf(c_6696,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_6680,c_50]) ).
cnf(c_6697,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_6681,c_50]) ).
cnf(c_6760,plain,
( ~ coll(sK29,sK20,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6762,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
cnf(c_6763,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
cnf(c_6764,plain,
( ~ coll(sK29,sK22,X0)
| coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_6678,c_51]) ).
cnf(c_6765,plain,
( ~ coll(sK28,sK21,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_6679,c_51]) ).
cnf(c_6766,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_6680,c_51]) ).
cnf(c_6769,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6691,c_51]) ).
cnf(c_6772,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6694,c_51]) ).
cnf(c_6774,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6696,c_51]) ).
cnf(c_6775,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6697,c_51]) ).
cnf(c_6862,plain,
perp(sK24,sK30,sK28,sK29),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_6863,plain,
perp(sK27,sK30,sK25,sK26),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_6864,plain,
perp(sK20,sK22,sK29,sK27),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6866,plain,
perp(sK20,sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_171,c_56]) ).
cnf(c_6867,plain,
perp(sK20,sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_173,c_56]) ).
cnf(c_6893,plain,
perp(sK20,sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_6864,c_55]) ).
cnf(c_6897,plain,
perp(sK20,sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_6866,c_55]) ).
cnf(c_6899,plain,
perp(sK20,sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_6867,c_55]) ).
cnf(c_6904,plain,
coll(sK22,sK22,sK29),
inference(superposition,[status(thm)],[c_165,c_6760]) ).
cnf(c_6927,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK29,X0,sK22) ),
inference(superposition,[status(thm)],[c_6904,c_51]) ).
cnf(c_6959,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_170,c_6762]) ).
cnf(c_6960,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_6959,c_51]) ).
cnf(c_6969,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_172,c_6763]) ).
cnf(c_6970,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_6969,c_51]) ).
cnf(c_6991,plain,
coll(sK20,sK20,sK29),
inference(superposition,[status(thm)],[c_6678,c_6764]) ).
cnf(c_7027,plain,
coll(sK20,sK29,sK20),
inference(superposition,[status(thm)],[c_6991,c_49]) ).
cnf(c_7051,plain,
coll(sK20,sK20,sK28),
inference(superposition,[status(thm)],[c_6679,c_6765]) ).
cnf(c_7075,plain,
( ~ coll(sK20,sK29,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7027,c_51]) ).
cnf(c_7080,plain,
( ~ coll(sK20,sK29,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7075]) ).
cnf(c_7083,plain,
coll(sK20,sK28,sK20),
inference(superposition,[status(thm)],[c_7051,c_49]) ).
cnf(c_7177,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_7083,c_6769]) ).
cnf(c_7239,plain,
coll(sK29,sK29,sK22),
inference(superposition,[status(thm)],[c_6904,c_6927]) ).
cnf(c_7242,plain,
( ~ coll(sK29,sK29,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_7239,c_51]) ).
cnf(c_7338,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7177,c_50]) ).
cnf(c_7417,plain,
coll(sK26,sK26,sK21),
inference(superposition,[status(thm)],[c_6959,c_6960]) ).
cnf(c_7418,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_7417,c_51]) ).
cnf(c_7429,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6969,c_6970]) ).
cnf(c_7430,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_7429,c_51]) ).
cnf(c_7608,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK29,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_7610,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_171,c_57]) ).
cnf(c_7611,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_173,c_57]) ).
cnf(c_7621,plain,
( ~ perp(sK28,sK29,X0,X1)
| para(sK24,sK30,X0,X1) ),
inference(superposition,[status(thm)],[c_6862,c_57]) ).
cnf(c_7622,plain,
( ~ perp(sK25,sK26,X0,X1)
| para(sK27,sK30,X0,X1) ),
inference(superposition,[status(thm)],[c_6863,c_57]) ).
cnf(c_7623,plain,
( ~ perp(sK29,sK27,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6864,c_57]) ).
cnf(c_8084,plain,
para(sK29,sK27,sK27,sK29),
inference(superposition,[status(thm)],[c_6893,c_7608]) ).
cnf(c_8118,plain,
para(sK26,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_6866,c_7610]) ).
cnf(c_8120,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_6897,c_7610]) ).
cnf(c_8130,plain,
para(sK25,sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_6899,c_7611]) ).
cnf(c_8207,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7338,c_51]) ).
cnf(c_8280,plain,
para(sK27,sK29,sK29,sK27),
inference(superposition,[status(thm)],[c_8084,c_53]) ).
cnf(c_8455,plain,
coll(sK26,sK24,sK24),
inference(superposition,[status(thm)],[c_8118,c_115]) ).
cnf(c_8474,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_8120,c_53]) ).
cnf(c_8628,plain,
para(sK24,sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_8130,c_53]) ).
cnf(c_10892,plain,
coll(sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_8455,c_50]) ).
cnf(c_11365,plain,
para(sK24,sK30,sK24,sK30),
inference(superposition,[status(thm)],[c_163,c_7621]) ).
cnf(c_11373,plain,
coll(sK24,sK30,sK30),
inference(superposition,[status(thm)],[c_11365,c_115]) ).
cnf(c_11385,plain,
coll(sK30,sK24,sK30),
inference(superposition,[status(thm)],[c_11373,c_50]) ).
cnf(c_11747,plain,
para(sK27,sK30,sK27,sK30),
inference(superposition,[status(thm)],[c_164,c_7622]) ).
cnf(c_11761,plain,
coll(sK27,sK30,sK30),
inference(superposition,[status(thm)],[c_11747,c_115]) ).
cnf(c_11773,plain,
coll(sK30,sK27,sK30),
inference(superposition,[status(thm)],[c_11761,c_50]) ).
cnf(c_11828,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_7623]) ).
cnf(c_13515,plain,
( ~ coll(sK24,sK26,X0)
| coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_10892,c_51]) ).
cnf(c_13552,plain,
coll(sK30,sK30,sK24),
inference(superposition,[status(thm)],[c_11385,c_49]) ).
cnf(c_13912,plain,
coll(sK30,sK30,sK27),
inference(superposition,[status(thm)],[c_11773,c_49]) ).
cnf(c_15843,plain,
( ~ coll(sK30,sK30,X0)
| coll(sK27,X0,sK30) ),
inference(superposition,[status(thm)],[c_13912,c_51]) ).
cnf(c_23934,plain,
( ~ para(sK24,sK30,sK24,sK30)
| eqangle(sK24,sK30,X0,X1,sK24,sK30,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_24147,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_24148,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24147]) ).
cnf(c_28063,plain,
para(sK27,sK29,sK27,sK29),
inference(superposition,[status(thm)],[c_8280,c_52]) ).
cnf(c_28311,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_8474,c_52]) ).
cnf(c_28351,plain,
para(sK24,sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_8628,c_52]) ).
cnf(c_29090,plain,
coll(sK27,sK29,sK29),
inference(superposition,[status(thm)],[c_28063,c_115]) ).
cnf(c_29106,plain,
coll(sK29,sK27,sK29),
inference(superposition,[status(thm)],[c_29090,c_50]) ).
cnf(c_29113,plain,
coll(sK29,sK29,sK27),
inference(superposition,[status(thm)],[c_29106,c_49]) ).
cnf(c_29145,plain,
coll(sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_29113,c_7242]) ).
cnf(c_29151,plain,
coll(sK22,sK29,sK27),
inference(superposition,[status(thm)],[c_29145,c_49]) ).
cnf(c_29164,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_29151,c_6772]) ).
cnf(c_29492,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_29164,c_49]) ).
cnf(c_29750,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK27,X0,sK20) ),
inference(superposition,[status(thm)],[c_29492,c_51]) ).
cnf(c_33238,plain,
( ~ coll(X0,sK24,X1)
| coll(X0,X1,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_33239,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_33238]) ).
cnf(c_39194,plain,
( ~ para(sK24,sK30,sK24,sK30)
| eqangle(sK24,sK30,sK24,X0,sK24,sK30,sK24,X0) ),
inference(instantiation,[status(thm)],[c_23934]) ).
cnf(c_39195,plain,
( ~ eqangle(sK24,sK30,sK24,X0,sK24,sK30,sK24,X0)
| ~ coll(sK24,sK24,X0)
| cyclic(sK30,X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_39196,plain,
( ~ para(sK24,sK30,sK24,sK30)
| eqangle(sK24,sK30,sK24,sK20,sK24,sK30,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_39194]) ).
cnf(c_39197,plain,
( ~ eqangle(sK24,sK30,sK24,sK20,sK24,sK30,sK24,sK20)
| ~ coll(sK24,sK24,sK20)
| cyclic(sK30,sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_39195]) ).
cnf(c_39293,plain,
( ~ eqangle(sK20,sK22,sK20,X0,sK20,sK22,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK22,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_39294,plain,
( ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39293]) ).
cnf(c_40704,plain,
coll(sK24,sK26,sK26),
inference(superposition,[status(thm)],[c_28311,c_115]) ).
cnf(c_41014,plain,
coll(sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_40704,c_50]) ).
cnf(c_41021,plain,
coll(sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_41014,c_49]) ).
cnf(c_41027,plain,
coll(sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_41021,c_7418]) ).
cnf(c_41115,plain,
coll(sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_41027,c_49]) ).
cnf(c_41136,plain,
coll(sK26,sK21,sK24),
inference(superposition,[status(thm)],[c_41115,c_50]) ).
cnf(c_41139,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_41115,c_6774]) ).
cnf(c_42108,plain,
coll(sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_41136,c_6766]) ).
cnf(c_42129,plain,
coll(sK24,sK25,sK25),
inference(superposition,[status(thm)],[c_28351,c_115]) ).
cnf(c_42152,plain,
coll(sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_42129,c_50]) ).
cnf(c_42178,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_41139,c_49]) ).
cnf(c_42182,plain,
coll(sK24,sK20,sK26),
inference(superposition,[status(thm)],[c_42108,c_50]) ).
cnf(c_42225,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_42152,c_49]) ).
cnf(c_42565,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_42178,c_8207]) ).
cnf(c_42573,plain,
coll(sK24,sK26,sK20),
inference(superposition,[status(thm)],[c_42182,c_49]) ).
cnf(c_42588,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_42225,c_7430]) ).
cnf(c_43893,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_42588,c_49]) ).
cnf(c_44701,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_43893,c_6775]) ).
cnf(c_45041,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_44701,c_49]) ).
cnf(c_48782,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_42573,c_13515]) ).
cnf(c_48806,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_48782,c_49]) ).
cnf(c_54805,plain,
coll(sK27,sK24,sK30),
inference(superposition,[status(thm)],[c_13552,c_15843]) ).
cnf(c_56343,plain,
coll(sK27,sK30,sK24),
inference(superposition,[status(thm)],[c_54805,c_49]) ).
cnf(c_73188,plain,
( ~ cyclic(sK30,X0,sK24,sK24)
| cyclic(X0,sK30,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_73192,plain,
( ~ cyclic(sK30,sK20,sK24,sK24)
| cyclic(sK20,sK30,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_73188]) ).
cnf(c_73432,plain,
( ~ cyclic(sK22,X0,sK20,X1)
| ~ cyclic(sK22,X0,sK20,sK20)
| cyclic(X0,sK20,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_73437,plain,
( ~ cyclic(sK22,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_73432]) ).
cnf(c_102540,plain,
( ~ eqangle(sK27,sK20,sK27,sK24,sK30,sK20,sK30,sK24)
| ~ coll(sK27,sK30,sK24)
| cyclic(sK20,sK24,sK27,sK30) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_105084,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_45041,c_29750]) ).
cnf(c_105115,plain,
coll(sK24,sK27,sK20),
inference(superposition,[status(thm)],[c_105084,c_50]) ).
cnf(c_108062,plain,
( ~ eqangle(sK27,sK24,sK27,sK20,sK30,sK24,sK30,sK20)
| eqangle(sK27,sK20,sK27,sK24,sK30,sK20,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_120064,plain,
( ~ eqangle(sK24,X0,sK24,sK20,sK27,X0,sK27,sK20)
| ~ coll(sK24,sK27,sK20)
| cyclic(X0,sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_120065,plain,
( ~ eqangle(sK24,sK20,sK24,sK20,sK27,sK20,sK27,sK20)
| ~ coll(sK24,sK27,sK20)
| cyclic(sK20,sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_120064]) ).
cnf(c_120129,plain,
( ~ eqangle(sK30,sK24,sK30,sK20,sK27,sK24,sK27,sK20)
| eqangle(sK27,sK24,sK27,sK20,sK30,sK24,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_134739,plain,
( ~ cong(X0,sK20,sK24,X0)
| cong(X0,sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_134740,plain,
( ~ cong(sK20,sK20,sK24,sK20)
| cong(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_134739]) ).
cnf(c_134771,plain,
( ~ cyclic(X0,sK20,sK24,sK27)
| cyclic(X0,sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_134772,plain,
( ~ cyclic(sK20,sK20,sK24,sK27)
| cyclic(sK20,sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_134771]) ).
cnf(c_134805,plain,
( ~ eqangle(sK24,X0,sK27,X0,sK24,sK20,sK27,sK20)
| eqangle(sK24,X0,sK24,sK20,sK27,X0,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_134806,plain,
( ~ eqangle(sK24,sK20,sK27,sK20,sK24,sK20,sK27,sK20)
| eqangle(sK24,sK20,sK24,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_134805]) ).
cnf(c_136703,plain,
( ~ cong(X0,sK20,X0,sK24)
| cong(X0,sK24,X0,sK20) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_136704,plain,
( ~ cong(sK20,sK20,sK20,sK24)
| cong(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_136703]) ).
cnf(c_146197,plain,
( ~ perp(sK20,sK24,sK24,X0)
| ~ midp(sK20,sK20,X0)
| cong(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_146198,plain,
( ~ perp(sK20,sK24,sK24,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_146197]) ).
cnf(c_167614,plain,
( ~ eqangle(X0,X1,X2,X3,sK27,X4,sK27,sK20)
| ~ eqangle(sK24,X4,sK24,sK20,X0,X1,X2,X3)
| eqangle(sK24,X4,sK24,sK20,sK27,X4,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_168318,plain,
( ~ perp(X0,X1,sK24,sK20)
| ~ perp(sK24,sK20,X0,X1)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_168427,plain,
( ~ cyclic(X0,sK24,sK20,sK27)
| cyclic(sK24,X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_168428,plain,
( ~ cyclic(sK20,sK24,sK20,sK27)
| cyclic(sK24,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_168427]) ).
cnf(c_168466,plain,
( ~ circle(X0,X1,sK24,sK24)
| ~ coll(X0,X1,sK24)
| perp(X1,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_168467,plain,
( ~ circle(sK20,sK20,sK24,sK24)
| ~ coll(sK20,sK20,sK24)
| perp(sK20,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_168466]) ).
cnf(c_168493,plain,
( ~ eqangle(sK20,sK24,sK24,X0,X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X4)
| perp(sK20,sK24,sK24,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_168494,plain,
( ~ eqangle(sK20,sK24,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_168493]) ).
cnf(c_168797,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,sK27,sK20,sK24,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_168966,plain,
( ~ cyclic(sK20,X0,X1,sK24)
| cyclic(sK20,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_169307,plain,
( ~ eqangle(X0,sK20,X0,X1,sK24,sK20,sK24,X1)
| eqangle(X0,X1,X0,sK20,sK24,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_169709,plain,
( ~ cyclic(sK20,sK24,sK30,X0)
| eqangle(sK30,sK20,sK30,sK24,X0,sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_169788,plain,
( ~ perp(X0,X1,sK24,X2)
| perp(sK24,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_169937,plain,
( ~ eqangle(X0,X1,X0,sK20,sK27,X1,sK27,sK20)
| ~ eqangle(sK24,X1,sK24,sK20,X0,X1,X0,sK20)
| eqangle(sK24,X1,sK24,sK20,sK27,X1,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_167614]) ).
cnf(c_171274,plain,
( ~ eqangle(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20)
| eqangle(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_172466,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,X0,X1,sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_172467,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_172466]) ).
cnf(c_172519,plain,
( ~ perp(sK16(X0,X1,X2,sK24,sK20),X0,sK24,sK20)
| ~ perp(sK24,sK20,sK16(X0,X1,X2,sK24,sK20),X0)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_168318]) ).
cnf(c_172520,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,sK24,sK20)
| perp(sK16(X0,X2,X1,sK24,sK20),X0,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_172521,plain,
( ~ perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20)
| ~ perp(sK24,sK20,sK16(sK20,sK20,sK20,sK24,sK20),sK20)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_172519]) ).
cnf(c_172522,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20)
| perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_172520]) ).
cnf(c_172542,plain,
( ~ cyclic(sK24,X0,sK20,sK27)
| eqangle(sK20,sK24,sK20,X0,sK27,sK24,sK27,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_172543,plain,
( ~ cyclic(sK24,sK20,sK20,sK27)
| eqangle(sK20,sK24,sK20,sK20,sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_172542]) ).
cnf(c_173516,plain,
( ~ cong(X0,X1,X0,sK24)
| circle(X0,X1,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_173517,plain,
( ~ cong(sK20,sK20,sK20,sK24)
| circle(sK20,sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_173516]) ).
cnf(c_174374,plain,
( ~ eqangle(X0,X1,X2,X3,sK27,sK24,sK27,X4)
| ~ eqangle(sK30,sK24,sK30,sK20,X0,X1,X2,X3)
| eqangle(sK30,sK24,sK30,sK20,sK27,sK24,sK27,X4) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_174737,plain,
( ~ perp(sK16(X0,X1,X2,sK24,X3),X0,sK24,X3)
| perp(sK24,X3,sK16(X0,X1,X2,sK24,X3),X0) ),
inference(instantiation,[status(thm)],[c_169788]) ).
cnf(c_174739,plain,
( ~ perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20)
| perp(sK24,sK20,sK16(sK20,sK20,sK20,sK24,sK20),sK20) ),
inference(instantiation,[status(thm)],[c_174737]) ).
cnf(c_174971,plain,
( ~ circle(X0,sK24,X1,sK20)
| ~ perp(X0,sK24,sK24,sK24)
| eqangle(sK24,sK24,sK24,X1,sK20,sK24,sK20,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_174973,plain,
( ~ perp(sK20,sK24,sK24,sK24)
| ~ circle(sK20,sK24,sK20,sK20)
| eqangle(sK24,sK24,sK24,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_174971]) ).
cnf(c_175051,plain,
( ~ cong(X0,sK24,X0,X1)
| ~ cong(X0,sK24,X0,X2)
| circle(X0,sK24,X2,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_175052,plain,
( ~ cong(sK20,sK24,sK20,sK20)
| circle(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_175051]) ).
cnf(c_177130,plain,
( ~ eqangle(sK24,sK20,sK24,X0,X1,X2,X3,X4)
| eqangle(sK20,sK24,sK24,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_177131,plain,
( ~ eqangle(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK24,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_177130]) ).
cnf(c_179937,plain,
( ~ cyclic(sK20,sK30,sK24,sK24)
| cyclic(sK20,sK24,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_168966]) ).
cnf(c_179938,plain,
( ~ cyclic(sK20,sK24,sK30,sK24)
| eqangle(sK30,sK20,sK30,sK24,sK24,sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_169709]) ).
cnf(c_181910,plain,
( ~ eqangle(X0,sK24,X0,sK20,sK27,sK24,sK27,sK20)
| ~ eqangle(sK24,sK24,sK24,sK20,X0,sK24,X0,sK20)
| eqangle(sK24,sK24,sK24,sK20,sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_169937]) ).
cnf(c_181911,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK27,sK24,sK27,sK20)
| ~ eqangle(sK24,sK24,sK24,sK20,sK20,sK24,sK20,sK20)
| eqangle(sK24,sK24,sK24,sK20,sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_181910]) ).
cnf(c_181949,plain,
( ~ eqangle(sK24,sK24,sK24,sK20,sK27,sK24,sK27,X0)
| ~ eqangle(sK30,sK24,sK30,sK20,sK24,sK24,sK24,sK20)
| eqangle(sK30,sK24,sK30,sK20,sK27,sK24,sK27,X0) ),
inference(instantiation,[status(thm)],[c_174374]) ).
cnf(c_181951,plain,
( ~ eqangle(sK30,sK20,sK30,sK24,sK24,sK20,sK24,sK24)
| eqangle(sK30,sK24,sK30,sK20,sK24,sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_169307]) ).
cnf(c_181953,plain,
( ~ eqangle(sK24,sK24,sK24,sK20,sK27,sK24,sK27,sK20)
| ~ eqangle(sK30,sK24,sK30,sK20,sK24,sK24,sK24,sK20)
| eqangle(sK30,sK24,sK30,sK20,sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_181949]) ).
cnf(c_181954,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_181951,c_181953,c_181911,c_179938,c_179937,c_177131,c_175052,c_174973,c_174739,c_173517,c_172543,c_172522,c_172521,c_172467,c_171274,c_168797,c_168494,c_168467,c_168428,c_146198,c_136704,c_134806,c_134772,c_134740,c_120129,c_120065,c_108062,c_105115,c_102540,c_73437,c_73192,c_56343,c_48806,c_42565,c_39294,c_39197,c_39196,c_33239,c_24148,c_11828,c_11365,c_7080,c_7027,c_239,c_190,c_184,c_181,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 : Tue Aug 29 20:38:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 42.52/6.72 % SZS status Started for theBenchmark.p
% 42.52/6.72 % SZS status Theorem for theBenchmark.p
% 42.52/6.72
% 42.52/6.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 42.52/6.72
% 42.52/6.72 ------ iProver source info
% 42.52/6.72
% 42.52/6.72 git: date: 2023-05-31 18:12:56 +0000
% 42.52/6.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 42.52/6.72 git: non_committed_changes: false
% 42.52/6.72 git: last_make_outside_of_git: false
% 42.52/6.72
% 42.52/6.72 ------ Parsing...
% 42.52/6.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 42.52/6.72
% 42.52/6.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 42.52/6.72
% 42.52/6.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 42.52/6.72
% 42.52/6.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 42.52/6.72 ------ Proving...
% 42.52/6.72 ------ Problem Properties
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72 clauses 126
% 42.52/6.72 conjectures 14
% 42.52/6.72 EPR 89
% 42.52/6.72 Horn 116
% 42.52/6.72 unary 14
% 42.52/6.72 binary 37
% 42.52/6.72 lits 342
% 42.52/6.72 lits eq 4
% 42.52/6.72 fd_pure 0
% 42.52/6.72 fd_pseudo 0
% 42.52/6.72 fd_cond 0
% 42.52/6.72 fd_pseudo_cond 4
% 42.52/6.72 AC symbols 0
% 42.52/6.72
% 42.52/6.72 ------ Schedule dynamic 5 is on
% 42.52/6.72
% 42.52/6.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72 ------
% 42.52/6.72 Current options:
% 42.52/6.72 ------
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72 ------ Proving...
% 42.52/6.72
% 42.52/6.72
% 42.52/6.72 % SZS status Theorem for theBenchmark.p
% 42.52/6.72
% 42.52/6.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.52/6.72
% 42.52/6.73
%------------------------------------------------------------------------------