TSTP Solution File: GEO636+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 23:12:14 EDT 2023
% Result : Theorem 20.69s 3.68s
% Output : CNFRefutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 397 ( 79 unt; 0 def)
% Number of atoms : 944 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 968 ( 421 ~; 412 |; 77 &)
% ( 0 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1071 ( 1 sgn; 736 !; 21 ?)
% 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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
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(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(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/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(f52,axiom,
! [X0,X1,X2,X7,X6] :
( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
& coll(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> midp(X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD51) ).
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(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
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(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
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(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X6,X16,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X6,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& eqangle(X2,X0,X0,X16,X6,X0,X0,X1) )
=> perp(X0,X16,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X6,X16,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X6,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& eqangle(X2,X0,X0,X16,X6,X0,X0,X1) )
=> perp(X0,X16,X8,X9) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(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(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(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(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(f131,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
inference(rectify,[],[f52]) ).
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(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
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(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> perp(X0,X4,X6,X5) ),
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(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(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(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(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(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(f240,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f131]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f240]) ).
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(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
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(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> ( ~ perp(sK20,sK24,sK26,sK25)
& coll(sK26,sK20,sK22)
& perp(sK26,sK23,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK20,sK24,sK26,sK25)
& coll(sK26,sK20,sK22)
& perp(sK26,sK23,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[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(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(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(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(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(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(f411,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
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(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
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(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f473,plain,
eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
~ perp(sK20,sK24,sK26,sK25),
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_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_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_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_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_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_100,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X4,X1,X2)
| midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
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_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_162,negated_conjecture,
~ perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f478]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_164,negated_conjecture,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_166,negated_conjecture,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f474]) ).
cnf(c_167,negated_conjecture,
eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_173,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_176,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_182,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_231,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_4483,plain,
( ~ perp(sK20,sK24,sK25,sK26)
| perp(sK20,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_4507,plain,
( ~ perp(sK25,sK26,sK20,sK24)
| perp(sK20,sK24,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_4650,plain,
( ~ para(sK25,sK26,X0,X1)
| ~ perp(X0,X1,sK20,sK24)
| perp(sK25,sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_4651,plain,
( ~ para(sK25,sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK24)
| perp(sK25,sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_4650]) ).
cnf(c_4716,plain,
( ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_4717,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK24,sK20,sK24)
| perp(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_4716]) ).
cnf(c_5223,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,sK25)
| circle(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_5224,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK25)
| circle(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_5223]) ).
cnf(c_5655,plain,
( ~ eqangle(X0,sK25,X1,X2,X3,X4,X5,X6)
| eqangle(X1,X2,X0,sK25,X5,X6,X3,X4) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_5656,plain,
( ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5655]) ).
cnf(c_5722,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_5723,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_5746,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_5747,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_5722,c_50]) ).
cnf(c_5771,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_5723,c_50]) ).
cnf(c_5787,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_5746,c_49]) ).
cnf(c_5882,plain,
perp(sK20,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_5883,plain,
perp(sK20,sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6025,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_6026,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_6055,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6025,c_72]) ).
cnf(c_6113,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6055,c_71]) ).
cnf(c_6116,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_6113,c_72]) ).
cnf(c_6122,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_6123,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6124,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_5722,c_51]) ).
cnf(c_6125,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_5723,c_51]) ).
cnf(c_6131,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_5787,c_51]) ).
cnf(c_6140,plain,
( ~ coll(sK25,sK21,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6125]) ).
cnf(c_6141,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_6124]) ).
cnf(c_6242,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_163,c_6122]) ).
cnf(c_6245,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6242,c_49]) ).
cnf(c_6259,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6245,c_51]) ).
cnf(c_6262,plain,
( ~ coll(sK22,sK26,sK20)
| coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6259]) ).
cnf(c_6288,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_165,c_6123]) ).
cnf(c_6296,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6288,c_49]) ).
cnf(c_6309,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6296,c_51]) ).
cnf(c_6312,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6309]) ).
cnf(c_6313,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5722,c_6124]) ).
cnf(c_6321,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6313,c_49]) ).
cnf(c_6343,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5723,c_6125]) ).
cnf(c_6352,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6343,c_49]) ).
cnf(c_6419,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6321,c_51]) ).
cnf(c_6423,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6419]) ).
cnf(c_6444,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6352,c_51]) ).
cnf(c_6614,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_6615,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6614]) ).
cnf(c_6788,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,X2,X1)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6026,c_116]) ).
cnf(c_6794,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6116,c_116]) ).
cnf(c_6895,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6897,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_6898,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_6940,plain,
perp(sK20,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_6941,plain,
perp(sK20,sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6943,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_6897,c_6419]) ).
cnf(c_6944,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_6898,c_6444]) ).
cnf(c_6954,plain,
perp(sK20,sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_6941,c_55]) ).
cnf(c_6955,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_6943,c_50]) ).
cnf(c_6957,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6944,c_50]) ).
cnf(c_6959,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_6944,c_6131]) ).
cnf(c_7001,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_6895,c_51]) ).
cnf(c_7047,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_6895,c_7001]) ).
cnf(c_7050,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_7047,c_49]) ).
cnf(c_7343,plain,
( ~ midp(sK23,sK20,sK22)
| cong(sK26,sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
cnf(c_7344,plain,
( ~ midp(sK23,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_7499,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_7502,plain,
( ~ perp(sK26,sK23,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6940,c_57]) ).
cnf(c_7503,plain,
( ~ perp(sK25,sK23,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6941,c_57]) ).
cnf(c_7539,plain,
( ~ perp(X0,X1,sK26,sK23)
| ~ perp(sK26,sK23,sK20,sK22)
| para(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7541,plain,
( ~ perp(X0,X1,sK25,sK23)
| ~ perp(sK25,sK23,sK20,sK21)
| para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7682,plain,
perp(sK26,sK23,sK22,sK20),
inference(resolution,[status(thm)],[c_55,c_164]) ).
cnf(c_7683,plain,
perp(sK25,sK23,sK21,sK20),
inference(resolution,[status(thm)],[c_55,c_166]) ).
cnf(c_7708,plain,
perp(sK22,sK20,sK26,sK23),
inference(resolution,[status(thm)],[c_56,c_7682]) ).
cnf(c_7709,plain,
perp(sK21,sK20,sK25,sK23),
inference(resolution,[status(thm)],[c_56,c_7683]) ).
cnf(c_7741,plain,
( ~ midp(sK20,sK20,sK26)
| midp(sK20,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7050,c_6788]) ).
cnf(c_8136,plain,
( ~ midp(sK20,sK25,sK25)
| midp(sK25,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6959,c_6794]) ).
cnf(c_8137,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6957,c_6794]) ).
cnf(c_8138,plain,
( ~ midp(sK20,sK22,sK22)
| midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6955,c_6794]) ).
cnf(c_8293,plain,
para(sK25,sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_6954,c_7499]) ).
cnf(c_8366,plain,
( ~ cong(sK26,sK20,sK26,X0)
| ~ midp(sK23,sK20,sK22)
| circle(sK26,sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7343,c_60]) ).
cnf(c_8367,plain,
( ~ cong(sK25,sK20,sK25,X0)
| ~ midp(sK23,sK20,sK21)
| circle(sK25,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7344,c_60]) ).
cnf(c_8409,plain,
( ~ cong(sK26,sK22,X0,X1)
| ~ midp(sK23,sK20,sK22)
| cong(sK26,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7343,c_73]) ).
cnf(c_8410,plain,
( ~ cong(sK25,sK21,X0,X1)
| ~ midp(sK23,sK20,sK21)
| cong(sK25,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7344,c_73]) ).
cnf(c_8611,plain,
para(sK23,sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_8293,c_53]) ).
cnf(c_10101,plain,
( ~ perp(sK20,sK22,sK26,sK23)
| ~ perp(sK26,sK23,sK20,sK22)
| para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7539]) ).
cnf(c_10158,plain,
( ~ perp(sK20,sK21,sK25,sK23)
| ~ perp(sK25,sK23,sK20,sK21)
| para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7541]) ).
cnf(c_10313,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_7502]) ).
cnf(c_10322,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_7503]) ).
cnf(c_10393,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_8611,c_52]) ).
cnf(c_12314,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_10313,c_94]) ).
cnf(c_12315,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_10322,c_94]) ).
cnf(c_12324,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12315]) ).
cnf(c_12325,plain,
( ~ coll(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_12314]) ).
cnf(c_14442,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_10313,c_113]) ).
cnf(c_14443,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_10322,c_113]) ).
cnf(c_14448,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_14443]) ).
cnf(c_14449,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14442]) ).
cnf(c_15766,plain,
( ~ para(X0,X1,sK26,sK23)
| perp(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_58,c_164]) ).
cnf(c_15767,plain,
( ~ para(sK20,sK20,sK26,sK23)
| perp(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_15766]) ).
cnf(c_15768,plain,
( ~ para(X0,X1,sK25,sK23)
| perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_166]) ).
cnf(c_15769,plain,
( ~ para(sK20,sK20,sK25,sK23)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_15768]) ).
cnf(c_15778,plain,
( ~ para(X0,X1,sK22,sK20)
| perp(X0,X1,sK26,sK23) ),
inference(resolution,[status(thm)],[c_58,c_7708]) ).
cnf(c_15780,plain,
( ~ para(X0,X1,sK21,sK20)
| perp(X0,X1,sK25,sK23) ),
inference(resolution,[status(thm)],[c_58,c_7709]) ).
cnf(c_19173,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_8611,c_52]) ).
cnf(c_19198,plain,
eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_167,c_68]) ).
cnf(c_19611,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_19173,c_113]) ).
cnf(c_19616,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(sK20,sK23,sK23)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_19611]) ).
cnf(c_23669,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK22,sK20)
| para(X0,X1,sK26,sK23) ),
inference(resolution,[status(thm)],[c_15778,c_57]) ).
cnf(c_23671,plain,
( ~ para(sK20,sK20,sK22,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_23669]) ).
cnf(c_23773,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK21,sK20)
| para(X0,X1,sK25,sK23) ),
inference(resolution,[status(thm)],[c_15780,c_57]) ).
cnf(c_23775,plain,
( ~ para(sK20,sK20,sK21,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_23773]) ).
cnf(c_24102,plain,
( ~ eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_167,c_70]) ).
cnf(c_24105,plain,
( ~ eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_19198,c_70]) ).
cnf(c_25559,plain,
eqangle(sK22,sK20,sK20,sK24,sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_19198,c_24102]) ).
cnf(c_25613,plain,
eqangle(sK20,sK24,sK22,sK20,sK20,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_25559,c_67]) ).
cnf(c_27458,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_167,c_24105]) ).
cnf(c_27511,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_27458,c_66]) ).
cnf(c_27512,plain,
para(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_27458,c_87]) ).
cnf(c_27751,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_27512,c_52]) ).
cnf(c_27752,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_27512,c_115]) ).
cnf(c_27877,plain,
para(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_27511,c_87]) ).
cnf(c_32285,plain,
( ~ coll(sK23,sK20,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_27752,c_51]) ).
cnf(c_32288,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_32285]) ).
cnf(c_32339,plain,
( ~ coll(sK20,X0,sK23)
| ~ midp(sK23,X0,sK20)
| midp(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_27751,c_94]) ).
cnf(c_32346,plain,
( ~ coll(sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK20)
| midp(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_32339]) ).
cnf(c_32542,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_27877,c_52]) ).
cnf(c_32755,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_25613,c_87]) ).
cnf(c_38153,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_32542,c_113]) ).
cnf(c_38161,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_38153]) ).
cnf(c_38615,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_32755,c_113]) ).
cnf(c_38623,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_38615]) ).
cnf(c_40139,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_7502]) ).
cnf(c_40142,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_40139,c_115]) ).
cnf(c_40143,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_40142,c_50]) ).
cnf(c_40172,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_7503]) ).
cnf(c_40176,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_40172,c_115]) ).
cnf(c_40177,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_40176,c_50]) ).
cnf(c_40287,plain,
( ~ midp(sK23,sK20,sK22)
| cong(sK26,sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
cnf(c_40288,plain,
( ~ midp(sK23,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_40304,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK26,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_40305,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_40315,plain,
( ~ midp(sK23,sK20,sK22)
| cong(sK26,sK22,sK26,sK20) ),
inference(superposition,[status(thm)],[c_40287,c_72]) ).
cnf(c_40319,plain,
( ~ midp(sK23,sK20,sK21)
| cong(sK25,sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_40288,c_72]) ).
cnf(c_40373,plain,
( ~ midp(sK23,sK20,sK22)
| cong(sK26,sK20,sK26,sK20) ),
inference(superposition,[status(thm)],[c_40315,c_8409]) ).
cnf(c_40383,plain,
( ~ midp(sK23,sK20,sK21)
| cong(sK25,sK20,sK25,sK20) ),
inference(superposition,[status(thm)],[c_40319,c_8410]) ).
cnf(c_40581,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_40596,plain,
( ~ coll(sK20,sK20,X0)
| cyclic(sK22,X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_40139,c_40581]) ).
cnf(c_40599,plain,
( ~ coll(sK20,sK20,sK20)
| cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40596]) ).
cnf(c_40602,plain,
( ~ cyclic(sK22,X0,sK20,X1)
| ~ coll(sK20,sK20,X0)
| cyclic(X0,sK20,sK20,X1) ),
inference(superposition,[status(thm)],[c_40596,c_65]) ).
cnf(c_40607,plain,
( ~ cyclic(sK22,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40602]) ).
cnf(c_40642,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_40139,c_94]) ).
cnf(c_40643,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_40172,c_94]) ).
cnf(c_40669,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_40143,c_40642]) ).
cnf(c_40671,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_40177,c_40643]) ).
cnf(c_40711,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_40669,c_173,c_176,c_231,c_5747,c_6262,c_6321,c_6423,c_12325,c_40599,c_40607]) ).
cnf(c_40713,plain,
( ~ midp(sK22,X0,X1)
| para(sK20,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_40711,c_112]) ).
cnf(c_40718,plain,
( ~ midp(sK22,sK20,sK20)
| para(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_40713]) ).
cnf(c_40719,plain,
midp(sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_40671,c_173,c_176,c_231,c_5771,c_6312,c_6321,c_6423,c_12324,c_40599,c_40607]) ).
cnf(c_40721,plain,
( ~ midp(sK21,X0,X1)
| para(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_40719,c_112]) ).
cnf(c_40726,plain,
( ~ midp(sK21,sK20,sK20)
| para(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_40721]) ).
cnf(c_41245,plain,
( ~ midp(sK23,sK20,sK22)
| circle(sK26,sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_40373,c_8366]) ).
cnf(c_41258,plain,
( ~ midp(sK23,sK20,sK21)
| circle(sK25,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_40383,c_8367]) ).
cnf(c_42045,plain,
( ~ coll(sK26,sK20,sK22)
| ~ midp(sK23,sK20,sK22)
| perp(sK20,sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_41245,c_102]) ).
cnf(c_42051,plain,
( ~ coll(sK25,sK20,sK21)
| ~ midp(sK23,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41258,c_102]) ).
cnf(c_49824,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,sK25,X2,X3,X4,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_49825,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_49824]) ).
cnf(c_49826,plain,
( ~ para(X0,sK25,X0,X0)
| eqangle(X0,sK25,X0,X1,X0,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_49827,plain,
( ~ para(sK20,sK25,sK20,sK20)
| eqangle(sK20,sK25,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_49826]) ).
cnf(c_52665,plain,
( ~ eqangle(X0,sK20,X0,sK25,X1,sK20,X1,sK25)
| ~ coll(X0,X1,sK25)
| cyclic(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_52666,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| cyclic(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_52665]) ).
cnf(c_53763,plain,
( ~ eqangle(X0,sK20,X0,sK25,X1,X2,X1,X3)
| ~ cyclic(sK20,sK25,X0,X1)
| ~ cyclic(sK20,sK25,X0,X2)
| ~ cyclic(sK20,sK25,X0,X3)
| cong(sK20,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_53764,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK25,sK20,sK20)
| cong(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53763]) ).
cnf(c_54768,plain,
( ~ cong(X0,sK25,X0,sK20)
| cong(X0,sK20,X0,sK25) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_54769,plain,
( ~ cong(sK20,sK25,sK20,sK20)
| cong(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_54768]) ).
cnf(c_56185,plain,
( ~ eqangle(X0,X1,X0,sK25,X2,X1,X2,X3)
| ~ circle(X2,X0,X1,sK25)
| ~ coll(X3,X1,sK25)
| midp(X3,X1,sK25) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_56186,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_56185]) ).
cnf(c_56740,plain,
( ~ midp(X0,X1,sK25)
| midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_56741,plain,
( ~ midp(sK20,sK20,sK25)
| midp(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_56740]) ).
cnf(c_57417,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK25,X1,X3)
| para(X0,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_57418,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK25,sK20,sK20)
| para(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57417]) ).
cnf(c_61137,plain,
( ~ midp(X0,sK26,X1)
| ~ midp(X0,sK25,X2)
| para(sK25,sK26,X2,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_61138,plain,
( ~ midp(sK20,sK26,sK20)
| ~ midp(sK20,sK25,sK20)
| para(sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61137]) ).
cnf(c_63170,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_63171,plain,
( ~ midp(sK20,sK24,sK24)
| cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_63170]) ).
cnf(c_63822,plain,
perp(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_42045,c_164,c_173,c_176,c_182,c_231,c_5882,c_6321,c_6423,c_8138,c_10101,c_14449,c_15767,c_23671,c_40599,c_40607,c_40718]) ).
cnf(c_63826,plain,
perp(sK20,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_63822,c_56]) ).
cnf(c_63869,plain,
perp(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_42051,c_166,c_173,c_176,c_182,c_231,c_5883,c_6321,c_6423,c_8137,c_10158,c_14448,c_15769,c_23775,c_40599,c_40607,c_40726]) ).
cnf(c_63873,plain,
perp(sK20,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_63869,c_56]) ).
cnf(c_64669,plain,
para(sK26,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_63826,c_40304]) ).
cnf(c_64680,plain,
para(sK25,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_63873,c_40305]) ).
cnf(c_65029,plain,
para(sK20,sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_64669,c_53]) ).
cnf(c_65035,plain,
( ~ coll(sK23,X0,sK20)
| ~ midp(sK25,X0,sK20)
| midp(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_64680,c_94]) ).
cnf(c_65041,plain,
( ~ coll(sK23,sK20,sK20)
| ~ midp(sK25,sK20,sK20)
| midp(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_65035]) ).
cnf(c_65048,plain,
para(sK20,sK20,sK23,sK26),
inference(superposition,[status(thm)],[c_65029,c_52]) ).
cnf(c_65501,plain,
( ~ coll(sK20,X0,sK26)
| ~ midp(sK20,X0,sK23)
| midp(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_65048,c_94]) ).
cnf(c_65510,plain,
( ~ coll(sK20,sK20,sK26)
| ~ midp(sK20,sK20,sK23)
| midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_65501]) ).
cnf(c_65511,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_65510,c_65041,c_63171,c_61138,c_57418,c_56741,c_56186,c_54769,c_53764,c_52666,c_49827,c_49825,c_40607,c_40599,c_38623,c_38161,c_32755,c_32542,c_32346,c_32288,c_27752,c_19616,c_10393,c_8136,c_7741,c_6615,c_6423,c_6321,c_6141,c_6140,c_5722,c_5723,c_5656,c_5224,c_4717,c_4651,c_4507,c_4483,c_231,c_176,c_173,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO636+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 20:58:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.69/3.68 % SZS status Started for theBenchmark.p
% 20.69/3.68 % SZS status Theorem for theBenchmark.p
% 20.69/3.68
% 20.69/3.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.69/3.68
% 20.69/3.68 ------ iProver source info
% 20.69/3.68
% 20.69/3.68 git: date: 2023-05-31 18:12:56 +0000
% 20.69/3.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.69/3.68 git: non_committed_changes: false
% 20.69/3.68 git: last_make_outside_of_git: false
% 20.69/3.68
% 20.69/3.68 ------ Parsing...
% 20.69/3.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.69/3.68
% 20.69/3.68 ------ 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
% 20.69/3.68
% 20.69/3.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.69/3.68
% 20.69/3.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.69/3.68 ------ Proving...
% 20.69/3.68 ------ Problem Properties
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68 clauses 118
% 20.69/3.68 conjectures 6
% 20.69/3.68 EPR 81
% 20.69/3.68 Horn 108
% 20.69/3.68 unary 6
% 20.69/3.68 binary 37
% 20.69/3.68 lits 334
% 20.69/3.68 lits eq 4
% 20.69/3.68 fd_pure 0
% 20.69/3.68 fd_pseudo 0
% 20.69/3.68 fd_cond 0
% 20.69/3.68 fd_pseudo_cond 4
% 20.69/3.68 AC symbols 0
% 20.69/3.68
% 20.69/3.68 ------ Input Options Time Limit: Unbounded
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68 ------
% 20.69/3.68 Current options:
% 20.69/3.68 ------
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68 ------ Proving...
% 20.69/3.68
% 20.69/3.68
% 20.69/3.68 % SZS status Theorem for theBenchmark.p
% 20.69/3.68
% 20.69/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.69/3.68
% 20.69/3.68
%------------------------------------------------------------------------------