TSTP Solution File: GEO639+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO639+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 23:12:15 EDT 2023
% Result : Theorem 66.18s 9.78s
% Output : CNFRefutation 66.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 322 ( 11 unt; 0 def)
% Number of atoms : 918 ( 0 equ)
% Maximal formula atoms : 32 ( 2 avg)
% Number of connectives : 1004 ( 408 ~; 407 |; 138 &)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 1167 ( 0 sgn; 715 !; 48 ?)
% 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(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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
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(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
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(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(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/sandbox/benchmark/theBenchmark.p',ruleD25) ).
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(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD45) ).
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(f55,axiom,
! [X0,X1,X2,X3] :
( ( para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD54) ).
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(f95,conjecture,
! [X8,X9,X0,X16,X3,X7,X1,X2,X4,X18,X19,X20,X21,X22,X23,X24] :
( ( coll(X4,X0,X16)
& coll(X4,X8,X9)
& circle(X7,X3,X2,X24)
& coll(X2,X9,X0)
& circle(X7,X3,X1,X23)
& coll(X1,X8,X0)
& circle(X7,X3,X21,X22)
& midp(X7,X3,X0)
& circle(X16,X8,X3,X20)
& coll(X3,X0,X16)
& circle(X16,X8,X18,X19)
& perp(X9,X0,X9,X16)
& perp(X8,X0,X8,X16)
& ( cong(X0,X8,X0,X9)
| cong(X0,X8,X8,X9) ) )
=> eqangle(X0,X1,X1,X4,X4,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).
fof(f96,negated_conjecture,
~ ! [X8,X9,X0,X16,X3,X7,X1,X2,X4,X18,X19,X20,X21,X22,X23,X24] :
( ( coll(X4,X0,X16)
& coll(X4,X8,X9)
& circle(X7,X3,X2,X24)
& coll(X2,X9,X0)
& circle(X7,X3,X1,X23)
& coll(X1,X8,X0)
& circle(X7,X3,X21,X22)
& midp(X7,X3,X0)
& circle(X16,X8,X3,X20)
& coll(X3,X0,X16)
& circle(X16,X8,X18,X19)
& perp(X9,X0,X9,X16)
& perp(X8,X0,X8,X16)
& ( cong(X0,X8,X0,X9)
| cong(X0,X8,X8,X9) ) )
=> eqangle(X0,X1,X1,X4,X4,X1,X1,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
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(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(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(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(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X8,X2,X3)
& coll(X8,X0,X1)
& circle(X5,X4,X7,X15)
& coll(X7,X1,X2)
& circle(X5,X4,X6,X14)
& coll(X6,X0,X2)
& circle(X5,X4,X12,X13)
& midp(X5,X4,X2)
& circle(X3,X0,X4,X11)
& coll(X4,X2,X3)
& circle(X3,X0,X9,X10)
& perp(X1,X2,X1,X3)
& perp(X0,X2,X0,X3)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> eqangle(X2,X6,X6,X8,X8,X6,X6,X7) ),
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(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(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(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
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(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(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(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(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(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(f246,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
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(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
& coll(X8,X2,X3)
& coll(X8,X0,X1)
& circle(X5,X4,X7,X15)
& coll(X7,X1,X2)
& circle(X5,X4,X6,X14)
& coll(X6,X0,X2)
& circle(X5,X4,X12,X13)
& midp(X5,X4,X2)
& circle(X3,X0,X4,X11)
& coll(X4,X2,X3)
& circle(X3,X0,X9,X10)
& perp(X1,X2,X1,X3)
& perp(X0,X2,X0,X3)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
& coll(X8,X2,X3)
& coll(X8,X0,X1)
& circle(X5,X4,X7,X15)
& coll(X7,X1,X2)
& circle(X5,X4,X6,X14)
& coll(X6,X0,X2)
& circle(X5,X4,X12,X13)
& midp(X5,X4,X2)
& circle(X3,X0,X4,X11)
& coll(X4,X2,X3)
& circle(X3,X0,X9,X10)
& perp(X1,X2,X1,X3)
& perp(X0,X2,X0,X3)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
& coll(X8,X2,X3)
& coll(X8,X0,X1)
& circle(X5,X4,X7,X15)
& coll(X7,X1,X2)
& circle(X5,X4,X6,X14)
& coll(X6,X0,X2)
& circle(X5,X4,X12,X13)
& midp(X5,X4,X2)
& circle(X3,X0,X4,X11)
& coll(X4,X2,X3)
& circle(X3,X0,X9,X10)
& perp(X1,X2,X1,X3)
& perp(X0,X2,X0,X3)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> ( ~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27)
& coll(sK28,sK22,sK23)
& coll(sK28,sK20,sK21)
& circle(sK25,sK24,sK27,sK35)
& coll(sK27,sK21,sK22)
& circle(sK25,sK24,sK26,sK34)
& coll(sK26,sK20,sK22)
& circle(sK25,sK24,sK32,sK33)
& midp(sK25,sK24,sK22)
& circle(sK23,sK20,sK24,sK31)
& coll(sK24,sK22,sK23)
& circle(sK23,sK20,sK29,sK30)
& perp(sK21,sK22,sK21,sK23)
& perp(sK20,sK22,sK20,sK23)
& ( cong(sK22,sK20,sK22,sK21)
| cong(sK22,sK20,sK20,sK21) ) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27)
& coll(sK28,sK22,sK23)
& coll(sK28,sK20,sK21)
& circle(sK25,sK24,sK27,sK35)
& coll(sK27,sK21,sK22)
& circle(sK25,sK24,sK26,sK34)
& coll(sK26,sK20,sK22)
& circle(sK25,sK24,sK32,sK33)
& midp(sK25,sK24,sK22)
& circle(sK23,sK20,sK24,sK31)
& coll(sK24,sK22,sK23)
& circle(sK23,sK20,sK29,sK30)
& perp(sK21,sK22,sK21,sK23)
& perp(sK20,sK22,sK20,sK23)
& ( cong(sK22,sK20,sK22,sK21)
| cong(sK22,sK20,sK20,sK21) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[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(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(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(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
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(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(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(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(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(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(f414,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
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(f479,plain,
midp(sK25,sK24,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f487,plain,
~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27),
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_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_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_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
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_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_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
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_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_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_103,plain,
( ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
inference(cnf_transformation,[],[f414]) ).
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_162,negated_conjecture,
~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27),
inference(cnf_transformation,[],[f487]) ).
cnf(c_163,negated_conjecture,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f486]) ).
cnf(c_166,negated_conjecture,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f483]) ).
cnf(c_168,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f481]) ).
cnf(c_170,negated_conjecture,
midp(sK25,sK24,sK22),
inference(cnf_transformation,[],[f479]) ).
cnf(c_179,plain,
( ~ para(sK22,sK22,sK22,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_182,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_186,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_191,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_207,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_240,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2420,plain,
( ~ coll(sK28,sK22,sK23)
| coll(sK28,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2448,plain,
( ~ coll(sK27,sK21,X0)
| ~ coll(sK27,sK21,sK22)
| coll(X0,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2449,plain,
( ~ coll(sK27,sK21,sK22)
| coll(sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_2448]) ).
cnf(c_2463,plain,
( ~ coll(sK26,sK20,X0)
| ~ coll(sK26,sK20,sK22)
| coll(X0,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2464,plain,
( ~ coll(sK26,sK20,sK22)
| coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_2463]) ).
cnf(c_2479,plain,
( ~ midp(X0,sK24,X1)
| ~ midp(sK25,sK24,sK22)
| para(X0,sK25,X1,sK22) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_2595,plain,
( ~ midp(sK25,sK24,sK22)
| para(sK25,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2479]) ).
cnf(c_2686,plain,
( ~ coll(sK28,sK23,X0)
| ~ coll(sK28,sK23,sK22)
| coll(X0,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2687,plain,
( ~ coll(sK28,sK23,sK22)
| coll(sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_2686]) ).
cnf(c_2749,plain,
( ~ coll(X0,sK22,sK27)
| coll(X0,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2750,plain,
( ~ coll(sK22,sK22,sK27)
| coll(sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_2749]) ).
cnf(c_2755,plain,
( ~ eqangle(X0,X1,X0,sK27,sK22,X1,sK22,sK27)
| ~ coll(X0,sK22,sK27)
| cyclic(X1,sK27,X0,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_2756,plain,
( ~ eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27)
| ~ coll(sK22,sK22,sK27)
| cyclic(sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2755]) ).
cnf(c_2789,plain,
( ~ cong(X0,sK22,X0,sK26)
| ~ coll(X0,sK22,sK26)
| midp(X0,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_2791,plain,
( ~ coll(X0,sK22,sK26)
| coll(X0,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2792,plain,
( ~ coll(sK22,sK22,sK26)
| coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_2791]) ).
cnf(c_2793,plain,
( ~ cong(sK22,sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK26)
| midp(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_2789]) ).
cnf(c_2797,plain,
( ~ eqangle(X0,X1,X0,sK26,sK22,X1,sK22,sK26)
| ~ coll(X0,sK22,sK26)
| cyclic(X1,sK26,X0,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_2798,plain,
( ~ eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK26)
| cyclic(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2797]) ).
cnf(c_3294,plain,
( ~ para(sK25,sK25,sK22,sK22)
| para(sK22,sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_3301,plain,
( ~ para(X0,X1,sK25,sK25)
| ~ para(sK25,sK25,sK22,sK22)
| para(X0,X1,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_3302,plain,
( ~ para(sK22,sK22,sK25,sK25)
| ~ para(sK25,sK25,sK22,sK22)
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_3301]) ).
cnf(c_3321,plain,
( ~ eqangle(sK28,sK26,sK26,sK27,sK22,sK26,sK26,sK28)
| eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_3355,plain,
( ~ eqangle(sK26,sK28,sK26,sK27,sK22,sK26,sK26,sK28)
| eqangle(sK28,sK26,sK26,sK27,sK22,sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_3494,plain,
( ~ cyclic(sK22,sK28,sK26,X0)
| eqangle(sK26,sK22,sK26,sK28,X0,sK22,X0,sK28) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_3496,plain,
( ~ cyclic(sK22,sK28,sK26,sK22)
| eqangle(sK26,sK22,sK26,sK28,sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_3494]) ).
cnf(c_3596,plain,
( ~ eqangle(sK26,sK27,sK26,sK28,sK26,sK28,sK22,sK26)
| eqangle(sK26,sK28,sK26,sK27,sK22,sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_3698,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK22,sK26,X0,X1)
| para(sK22,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3699,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK26,sK22,sK22)
| para(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_3698]) ).
cnf(c_3733,plain,
( ~ cong(X0,X1,sK27,X2)
| ~ cong(sK27,X3,X0,X1)
| cong(sK27,X3,sK27,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3734,plain,
( ~ cong(sK22,sK22,sK27,sK22)
| ~ cong(sK27,sK22,sK22,sK22)
| cong(sK27,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_3733]) ).
cnf(c_3946,plain,
( ~ eqangle(sK26,sK22,sK26,sK28,X0,X1,X2,X3)
| eqangle(sK26,sK22,X0,X1,sK26,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_4014,plain,
( ~ cyclic(X0,sK22,sK28,X1)
| ~ cyclic(X0,sK22,sK28,sK26)
| cyclic(sK22,sK28,sK26,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4015,plain,
( ~ cyclic(sK22,sK22,sK28,sK22)
| ~ cyclic(sK22,sK22,sK28,sK26)
| cyclic(sK22,sK28,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_4014]) ).
cnf(c_4101,plain,
( ~ para(X0,X1,sK26,sK28)
| eqangle(X0,X1,sK22,sK26,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4103,plain,
( ~ para(sK22,sK22,sK26,sK28)
| eqangle(sK22,sK22,sK22,sK26,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_4101]) ).
cnf(c_4224,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK26,sK28,X0,X1)
| para(sK26,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_4225,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK26,sK28,sK22,sK22)
| para(sK26,sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_4224]) ).
cnf(c_4282,plain,
( ~ cyclic(X0,sK22,X1,sK26)
| ~ cyclic(X0,sK22,X1,sK28)
| cyclic(sK22,X1,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4283,plain,
( ~ cyclic(sK22,sK22,sK22,sK26)
| ~ cyclic(sK22,sK22,sK22,sK28)
| cyclic(sK22,sK22,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_4282]) ).
cnf(c_4357,plain,
( ~ para(sK26,sK28,X0,X1)
| eqangle(sK26,sK28,sK26,sK27,X0,X1,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4359,plain,
( ~ para(sK26,sK28,sK22,sK22)
| eqangle(sK26,sK28,sK26,sK27,sK22,sK22,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_4357]) ).
cnf(c_4841,plain,
( ~ eqangle(sK26,sK22,X0,X1,X2,X3,X4,X5)
| eqangle(sK22,sK26,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_4978,plain,
( ~ cong(sK22,X0,sK26,X0)
| ~ cong(sK22,X1,sK26,X1)
| perp(sK22,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_4979,plain,
( ~ cong(sK22,sK22,sK26,sK22)
| perp(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_4978]) ).
cnf(c_4998,plain,
( ~ para(X0,sK26,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK26,X3,X2)
| midp(sK26,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_4999,plain,
( ~ para(sK22,sK26,sK22,sK22)
| ~ coll(sK26,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_4998]) ).
cnf(c_5007,plain,
( ~ midp(X0,X1,sK26)
| midp(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_5008,plain,
( ~ midp(sK22,sK22,sK26)
| midp(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_5007]) ).
cnf(c_5122,plain,
( ~ eqangle(X0,X1,X2,X3,sK26,sK28,sK22,sK28)
| eqangle(sK26,sK28,sK22,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_5123,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK26,sK28,sK22,sK28)
| eqangle(sK26,sK28,sK22,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_5122]) ).
cnf(c_5195,plain,
( ~ cong(sK27,X0,sK27,X1)
| ~ coll(sK27,X0,X1)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_5196,plain,
( ~ cong(sK27,sK22,sK27,sK22)
| ~ coll(sK27,sK22,sK22)
| midp(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_5195]) ).
cnf(c_5263,plain,
( ~ cong(X0,X1,sK27,X2)
| cong(sK27,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_5264,plain,
( ~ cong(sK22,sK22,sK27,sK22)
| cong(sK27,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_5263]) ).
cnf(c_5922,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK26,sK22)
| para(X0,X1,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_6010,plain,
( ~ cyclic(sK22,X0,sK26,X1)
| eqangle(sK26,sK22,sK26,X0,X1,sK22,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_6012,plain,
( ~ cyclic(sK22,sK22,sK26,sK22)
| eqangle(sK26,sK22,sK26,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6010]) ).
cnf(c_6071,plain,
( ~ eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_6072,plain,
( ~ eqangle(sK22,sK27,sK27,sK22,sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| perp(sK22,sK27,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_6071]) ).
cnf(c_6641,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK26,sK28)
| para(X0,X1,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_6642,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK26,sK28)
| para(sK22,sK22,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_6641]) ).
cnf(c_7084,plain,
( ~ cong(sK26,X0,sK28,X0)
| ~ cong(sK26,X1,sK28,X1)
| perp(sK26,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_7085,plain,
( ~ cong(sK26,sK22,sK28,sK22)
| perp(sK26,sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7084]) ).
cnf(c_7288,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK26,sK27,sK26,sK28,X0,X1,X2,X3)
| eqangle(sK26,sK27,sK26,sK28,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_7536,plain,
( ~ midp(sK26,X0,X1)
| ~ midp(sK27,X0,X2)
| para(sK26,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_7537,plain,
( ~ midp(sK26,sK22,sK22)
| ~ midp(sK27,sK22,sK22)
| para(sK26,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7536]) ).
cnf(c_7953,plain,
( ~ cyclic(X0,sK22,sK28,X1)
| cyclic(X0,sK22,X1,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_7954,plain,
( ~ cyclic(sK22,sK22,sK28,sK22)
| cyclic(sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_7953]) ).
cnf(c_7963,plain,
( ~ cyclic(sK22,sK28,X0,X1)
| cyclic(sK22,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_7964,plain,
( ~ cyclic(sK22,sK28,sK22,sK22)
| cyclic(sK22,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_7963]) ).
cnf(c_8531,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK22,sK26,X2,X3,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_8532,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_8531]) ).
cnf(c_8606,plain,
( ~ perp(sK22,sK26,X0,X1)
| perp(X0,X1,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8607,plain,
( ~ perp(sK22,sK26,sK22,sK22)
| perp(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_8606]) ).
cnf(c_8967,plain,
( ~ cyclic(sK22,X0,sK26,X1)
| cyclic(sK22,X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_8968,plain,
( ~ cyclic(sK22,sK22,sK26,sK22)
| cyclic(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_8967]) ).
cnf(c_9190,plain,
( ~ perp(sK22,sK26,sK26,X0)
| ~ midp(X1,sK22,X0)
| cong(sK22,X1,sK26,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9191,plain,
( ~ perp(sK22,sK26,sK26,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK22,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_9190]) ).
cnf(c_9300,plain,
( ~ para(X0,sK26,X0,X1)
| ~ cyclic(X0,sK26,X0,X1)
| eqangle(X0,X1,X0,X1,X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_9301,plain,
( ~ para(sK22,sK26,sK22,sK22)
| ~ cyclic(sK22,sK26,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_9300]) ).
cnf(c_10073,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_10075,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_10073]) ).
cnf(c_10106,plain,
( ~ cong(X0,X1,sK26,sK22)
| cong(X0,X1,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_10107,plain,
( ~ cong(sK22,sK22,sK26,sK22)
| cong(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_10106]) ).
cnf(c_10333,plain,
( ~ perp(X0,sK27,sK27,X1)
| ~ midp(X2,X0,X1)
| cong(X0,X2,sK27,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_10334,plain,
( ~ perp(sK22,sK27,sK27,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_10333]) ).
cnf(c_10551,plain,
( ~ cyclic(X0,X1,sK27,X2)
| eqangle(sK27,X0,sK27,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_10553,plain,
( ~ cyclic(sK22,sK22,sK27,sK22)
| eqangle(sK27,sK22,sK27,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10551]) ).
cnf(c_10643,plain,
( ~ cyclic(X0,sK27,X1,X2)
| cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_10644,plain,
( ~ cyclic(sK22,sK27,sK22,sK22)
| cyclic(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_10643]) ).
cnf(c_11416,plain,
( ~ coll(X0,sK26,sK22)
| coll(sK26,X0,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_11417,plain,
( ~ coll(sK22,sK26,sK22)
| coll(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11416]) ).
cnf(c_11923,plain,
( ~ para(X0,X1,sK26,sK22)
| eqangle(X0,X1,X2,X3,sK26,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_11924,plain,
( ~ para(sK22,sK22,sK26,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK26,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11923]) ).
cnf(c_11946,plain,
( ~ perp(X0,X1,X2,sK26)
| ~ perp(X2,sK26,sK26,sK22)
| para(X0,X1,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_5922]) ).
cnf(c_11948,plain,
( ~ perp(sK22,sK22,sK22,sK26)
| ~ perp(sK22,sK26,sK26,sK22)
| para(sK22,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_11946]) ).
cnf(c_12200,plain,
( ~ cyclic(sK22,sK26,X0,X1)
| cyclic(sK22,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_12201,plain,
( ~ cyclic(sK22,sK26,sK22,sK22)
| cyclic(sK22,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_12200]) ).
cnf(c_12334,plain,
( ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5)
| eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_12335,plain,
( ~ eqangle(sK27,sK22,sK27,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK27,sK27,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12334]) ).
cnf(c_12756,plain,
( ~ eqangle(X0,sK22,X0,sK28,X1,sK22,X1,sK28)
| ~ coll(X0,X1,sK28)
| cyclic(sK22,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_12759,plain,
( ~ eqangle(sK22,sK22,sK22,sK28,sK22,sK22,sK22,sK28)
| ~ coll(sK22,sK22,sK28)
| cyclic(sK22,sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12756]) ).
cnf(c_13636,plain,
( ~ coll(X0,sK27,X1)
| coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_13637,plain,
( ~ coll(sK22,sK27,sK22)
| coll(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_13636]) ).
cnf(c_14304,plain,
( ~ perp(sK26,sK28,X0,X1)
| perp(X0,X1,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_14305,plain,
( ~ perp(sK26,sK28,sK22,sK22)
| perp(sK22,sK22,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_14304]) ).
cnf(c_14813,plain,
( ~ eqangle(X0,X1,X2,sK27,X3,X4,X5,X6)
| eqangle(X2,sK27,X0,X1,X5,X6,X3,X4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_14818,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X8,sK27,X9,X10,X0,X1,X2,X3)
| eqangle(X8,sK27,X9,X10,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_14819,plain,
( ~ para(X0,sK27,X1,X2)
| eqangle(X0,sK27,X3,X4,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_15485,plain,
( ~ perp(sK26,sK28,sK28,X0)
| ~ midp(X1,sK26,X0)
| cong(sK26,X1,sK28,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_15486,plain,
( ~ perp(sK26,sK28,sK28,sK22)
| ~ midp(sK22,sK26,sK22)
| cong(sK26,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_15485]) ).
cnf(c_15637,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_15639,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK28,sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_15637]) ).
cnf(c_19442,plain,
( ~ eqangle(sK26,sK22,sK26,sK28,X0,sK22,X0,sK28)
| eqangle(sK26,sK22,X0,sK22,sK26,sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_3946]) ).
cnf(c_19452,plain,
( ~ eqangle(sK26,sK22,sK26,sK28,sK22,sK22,sK22,sK28)
| eqangle(sK26,sK22,sK22,sK22,sK26,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_19442]) ).
cnf(c_20468,plain,
( ~ eqangle(sK26,sK22,sK26,X0,X1,sK22,X1,X0)
| eqangle(sK22,sK26,sK26,X0,X1,sK22,X1,X0) ),
inference(instantiation,[status(thm)],[c_4841]) ).
cnf(c_20470,plain,
( ~ eqangle(sK26,sK22,sK26,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK26,sK26,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_20468]) ).
cnf(c_21741,plain,
( ~ eqangle(X0,X1,X2,sK27,X3,X4,X2,sK27)
| eqangle(X2,sK27,X0,X1,X2,sK27,X3,X4) ),
inference(instantiation,[status(thm)],[c_14813]) ).
cnf(c_23683,plain,
( ~ eqangle(X0,X1,X2,X3,sK26,sK28,sK22,sK26)
| ~ eqangle(sK26,sK27,sK26,sK28,X0,X1,X2,X3)
| eqangle(sK26,sK27,sK26,sK28,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_14818]) ).
cnf(c_23684,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK26,sK28,sK22,sK26)
| ~ eqangle(sK26,sK27,sK26,sK28,sK22,sK22,sK22,sK22)
| eqangle(sK26,sK27,sK26,sK28,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_23683]) ).
cnf(c_24007,plain,
( ~ para(sK26,sK27,X0,X1)
| eqangle(sK26,sK27,X2,X3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_14819]) ).
cnf(c_24008,plain,
( ~ para(sK26,sK27,sK22,sK22)
| eqangle(sK26,sK27,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_24007]) ).
cnf(c_31340,plain,
( ~ eqangle(sK26,sK28,sK26,sK27,X0,X1,sK26,sK27)
| eqangle(sK26,sK27,sK26,sK28,sK26,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_21741]) ).
cnf(c_31341,plain,
( ~ eqangle(sK26,sK27,X0,X1,X2,X3,X4,X5)
| ~ eqangle(sK26,sK27,sK26,sK28,sK26,sK27,X0,X1)
| eqangle(sK26,sK27,sK26,sK28,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_7288]) ).
cnf(c_31345,plain,
( ~ eqangle(sK26,sK28,sK26,sK27,sK22,sK22,sK26,sK27)
| eqangle(sK26,sK27,sK26,sK28,sK26,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_31340]) ).
cnf(c_31349,plain,
( ~ eqangle(sK26,sK27,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ eqangle(sK26,sK27,sK26,sK28,sK26,sK27,sK22,sK22)
| eqangle(sK26,sK27,sK26,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_31341]) ).
cnf(c_38333,plain,
( ~ eqangle(sK22,sK26,X0,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(sK22,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_38826,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK26,sK28,sK22,sK26)
| eqangle(X0,X1,X2,X3,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_40792,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK26,sK28,X8,X9)
| eqangle(X0,X1,X2,X3,sK26,sK28,X8,X9) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_41052,plain,
( ~ perp(sK26,sK28,sK22,sK28)
| perp(sK26,sK28,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_41437,plain,
( ~ eqangle(sK26,sK28,X0,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(sK26,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_43665,plain,
( ~ eqangle(sK22,sK26,sK26,X0,X1,sK22,X1,X0)
| ~ perp(X1,sK22,X1,X0)
| perp(sK22,sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_38333]) ).
cnf(c_43670,plain,
( ~ eqangle(sK22,sK26,sK26,sK22,sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| perp(sK22,sK26,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_43665]) ).
cnf(c_46208,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,sK22,sK26)
| ~ eqangle(X4,X5,sK22,sK26,sK26,sK28,sK22,sK26)
| eqangle(X0,X1,X2,X3,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_38826]) ).
cnf(c_46210,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK26)
| ~ eqangle(sK22,sK22,sK22,sK26,sK26,sK28,sK22,sK26)
| eqangle(sK22,sK22,sK22,sK22,sK26,sK28,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_46208]) ).
cnf(c_55086,plain,
( ~ eqangle(X0,X1,X2,X3,sK26,sK22,X4,sK22)
| ~ eqangle(sK26,sK22,X4,sK22,sK26,sK28,X4,sK28)
| eqangle(X0,X1,X2,X3,sK26,sK28,X4,sK28) ),
inference(instantiation,[status(thm)],[c_40792]) ).
cnf(c_55087,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK26,sK22,sK22,sK22)
| ~ eqangle(sK26,sK22,sK22,sK22,sK26,sK28,sK22,sK28)
| eqangle(sK22,sK22,sK22,sK22,sK26,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_55086]) ).
cnf(c_62144,plain,
( ~ eqangle(sK26,sK28,sK22,sK28,X0,X1,X2,X3)
| ~ perp(X0,X1,X2,X3)
| perp(sK26,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_41437]) ).
cnf(c_62145,plain,
( ~ eqangle(sK26,sK28,sK22,sK28,sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| perp(sK26,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_62144]) ).
cnf(c_62146,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_62145,c_55087,c_46210,c_43670,c_41052,c_31349,c_31345,c_24008,c_23684,c_20470,c_19452,c_15639,c_15486,c_14305,c_13637,c_12759,c_12335,c_12201,c_11948,c_11924,c_11417,c_10644,c_10553,c_10334,c_10107,c_10075,c_9301,c_9191,c_8968,c_8607,c_8532,c_7964,c_7954,c_7537,c_7085,c_6642,c_6072,c_6012,c_5264,c_5196,c_5123,c_5008,c_4999,c_4979,c_4359,c_4283,c_4225,c_4103,c_4015,c_3734,c_3699,c_3596,c_3496,c_3355,c_3321,c_3302,c_3294,c_2798,c_2793,c_2792,c_2756,c_2750,c_2687,c_2595,c_2464,c_2449,c_2420,c_240,c_207,c_191,c_186,c_182,c_179,c_162,c_163,c_166,c_168,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO639+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.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 22:17:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 66.18/9.78 % SZS status Started for theBenchmark.p
% 66.18/9.78 % SZS status Theorem for theBenchmark.p
% 66.18/9.78
% 66.18/9.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 66.18/9.78
% 66.18/9.78 ------ iProver source info
% 66.18/9.78
% 66.18/9.78 git: date: 2023-05-31 18:12:56 +0000
% 66.18/9.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 66.18/9.78 git: non_committed_changes: false
% 66.18/9.78 git: last_make_outside_of_git: false
% 66.18/9.78
% 66.18/9.78 ------ Parsing...
% 66.18/9.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 66.18/9.78
% 66.18/9.78 ------ Preprocessing...
% 66.18/9.78
% 66.18/9.78 ------ Preprocessing...
% 66.18/9.78
% 66.18/9.78 ------ Preprocessing...
% 66.18/9.78 ------ Proving...
% 66.18/9.78 ------ Problem Properties
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78 clauses 127
% 66.18/9.78 conjectures 15
% 66.18/9.78 EPR 90
% 66.18/9.78 Horn 116
% 66.18/9.78 unary 14
% 66.18/9.78 binary 38
% 66.18/9.78 lits 344
% 66.18/9.78 lits eq 4
% 66.18/9.78 fd_pure 0
% 66.18/9.78 fd_pseudo 0
% 66.18/9.78 fd_cond 0
% 66.18/9.78 fd_pseudo_cond 4
% 66.18/9.78 AC symbols 0
% 66.18/9.78
% 66.18/9.78 ------ Input Options Time Limit: Unbounded
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78 ------
% 66.18/9.78 Current options:
% 66.18/9.78 ------
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78 ------ Proving...
% 66.18/9.78
% 66.18/9.78
% 66.18/9.78 % SZS status Theorem for theBenchmark.p
% 66.18/9.78
% 66.18/9.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.18/9.79
% 66.18/9.80
%------------------------------------------------------------------------------