TSTP Solution File: GEO607+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO607+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 23:12:03 EDT 2023
% Result : Theorem 28.42s 4.69s
% Output : CNFRefutation 28.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 43
% Syntax : Number of formulae : 442 ( 56 unt; 0 def)
% Number of atoms : 1101 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1164 ( 505 ~; 501 |; 92 &)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 1235 ( 2 sgn; 808 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD49) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f86,axiom,
! [X0,X1,X2,X13] :
? [X8,X9] :
( ( perp(X1,X13,X0,X2)
& perp(X0,X13,X1,X2) )
=> ( perp(X1,X9,X2,X0)
& coll(X9,X2,X0)
& perp(X0,X8,X2,X1)
& coll(X8,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX10) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( circle(X5,X1,X3,X2)
& circle(X4,X0,X2,X3)
& perp(X3,X0,X3,X1)
& midp(X2,X1,X0) )
=> perp(X4,X3,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( circle(X5,X1,X3,X2)
& circle(X4,X0,X2,X3)
& perp(X3,X0,X3,X1)
& midp(X2,X1,X0) )
=> perp(X4,X3,X3,X5) ),
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(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(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(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f126,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(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(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X3,X0,X2)
& perp(X0,X3,X1,X2) )
=> ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(rectify,[],[f86]) ).
fof(f167,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f173,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(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f177,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(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f177]) ).
fof(f179,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(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f182,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(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f182]) ).
fof(f189,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(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f189]) ).
fof(f192,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(f193,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(f194,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(f197,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f199,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(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f199]) ).
fof(f217,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(f218,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] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f220]) ).
fof(f222,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(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(flattening,[],[f222]) ).
fof(f224,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(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(flattening,[],[f224]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f226]) ).
fof(f228,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(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(flattening,[],[f228]) ).
fof(f230,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f126]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f235]) ).
fof(f241,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f241]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f243]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f247]) ).
fof(f249,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(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f260,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f260]) ).
fof(f262,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(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(flattening,[],[f262]) ).
fof(f266,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f267,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f270,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f277]) ).
fof(f301,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f158]) ).
fof(f302,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(flattening,[],[f301]) ).
fof(f318,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& circle(X5,X1,X3,X2)
& circle(X4,X0,X2,X3)
& perp(X3,X0,X3,X1)
& midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& circle(X5,X1,X3,X2)
& circle(X4,X0,X2,X3)
& perp(X3,X0,X3,X1)
& midp(X2,X1,X0) ),
inference(flattening,[],[f318]) ).
fof(f339,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) )
=> ( ( perp(X1,sK10(X0,X1,X2,X3),X2,X0)
& coll(sK10(X0,X1,X2,X3),X2,X0)
& perp(X0,sK9(X0,X1,X2,X3),X2,X1)
& coll(sK9(X0,X1,X2,X3),X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0,X1,X2,X3] :
( ( perp(X1,sK10(X0,X1,X2,X3),X2,X0)
& coll(sK10(X0,X1,X2,X3),X2,X0)
& perp(X0,sK9(X0,X1,X2,X3),X2,X1)
& coll(sK9(X0,X1,X2,X3),X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f302,f339]) ).
fof(f357,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& circle(X5,X1,X3,X2)
& circle(X4,X0,X2,X3)
& perp(X3,X0,X3,X1)
& midp(X2,X1,X0) )
=> ( ~ perp(sK24,sK23,sK23,sK25)
& circle(sK25,sK21,sK23,sK22)
& circle(sK24,sK20,sK22,sK23)
& perp(sK23,sK20,sK23,sK21)
& midp(sK22,sK21,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f358,plain,
( ~ perp(sK24,sK23,sK23,sK25)
& circle(sK25,sK21,sK23,sK22)
& circle(sK24,sK20,sK22,sK23)
& perp(sK23,sK20,sK23,sK21)
& midp(sK22,sK21,sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25])],[f319,f357]) ).
fof(f359,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,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,[],[f174]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,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,[],[f178]) ).
fof(f368,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,[],[f180]) ).
fof(f369,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f190]) ).
fof(f377,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,[],[f192]) ).
fof(f378,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,[],[f193]) ).
fof(f379,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,[],[f194]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f197]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,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,[],[f200]) ).
fof(f397,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f217]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f218]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f401,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,[],[f223]) ).
fof(f402,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,[],[f225]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f404,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,[],[f229]) ).
fof(f405,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f423,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,[],[f263]) ).
fof(f425,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f266]) ).
fof(f426,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
fof(f427,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f278]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( coll(sK9(X0,X1,X2,X3),X2,X1)
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
fof(f456,plain,
! [X2,X3,X0,X1] :
( coll(sK10(X0,X1,X2,X3),X2,X0)
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
fof(f472,plain,
midp(sK22,sK21,sK20),
inference(cnf_transformation,[],[f358]) ).
fof(f473,plain,
perp(sK23,sK20,sK23,sK21),
inference(cnf_transformation,[],[f358]) ).
fof(f475,plain,
circle(sK25,sK21,sK23,sK22),
inference(cnf_transformation,[],[f358]) ).
fof(f476,plain,
~ perp(sK24,sK23,sK23,sK25),
inference(cnf_transformation,[],[f358]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f375]) ).
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,[],[f377]) ).
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,[],[f378]) ).
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,[],[f379]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f397]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[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,[],[f401]) ).
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,[],[f402]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_95,plain,
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
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,[],[f415]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f422]) ).
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,[],[f423]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f432]) ).
cnf(c_145,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X1,X0,X3)
| coll(sK10(X0,X2,X3,X1),X3,X0) ),
inference(cnf_transformation,[],[f456]) ).
cnf(c_147,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X1,X0,X3)
| coll(sK9(X0,X2,X3,X1),X3,X2) ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_162,negated_conjecture,
~ perp(sK24,sK23,sK23,sK25),
inference(cnf_transformation,[],[f476]) ).
cnf(c_163,negated_conjecture,
circle(sK25,sK21,sK23,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_165,negated_conjecture,
perp(sK23,sK20,sK23,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_166,negated_conjecture,
midp(sK22,sK21,sK20),
inference(cnf_transformation,[],[f472]) ).
cnf(c_172,plain,
( ~ cong(sK23,sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| midp(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_176,plain,
( ~ para(sK23,sK23,sK23,sK23)
| eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_355,plain,
( ~ midp(sK22,sK21,sK20)
| midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_357,plain,
( ~ midp(sK22,sK21,sK20)
| cong(sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_359,plain,
( ~ perp(sK23,sK20,sK23,sK21)
| perp(sK23,sK21,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_364,plain,
( ~ perp(sK21,X0,X0,sK20)
| ~ midp(sK22,sK21,sK20)
| cong(sK21,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_365,plain,
( ~ perp(sK21,sK23,sK23,sK20)
| ~ midp(sK22,sK21,sK20)
| cong(sK21,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_364]) ).
cnf(c_378,plain,
( ~ perp(sK23,sK20,sK23,sK21)
| coll(sK10(sK23,sK23,sK21,sK20),sK21,sK23) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_396,plain,
( ~ midp(sK22,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_450,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_451,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_166,c_118]) ).
cnf(c_452,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_450,c_118]) ).
cnf(c_469,plain,
( ~ cong(X0,X1,sK22,sK21)
| ~ cong(sK22,sK21,sK22,sK20)
| cong(X0,X1,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_497,plain,
perp(sK23,sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_165,c_55]) ).
cnf(c_499,plain,
perp(sK23,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_500,plain,
perp(sK21,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_497,c_56]) ).
cnf(c_503,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_516,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_503,c_72]) ).
cnf(c_520,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_516,c_71]) ).
cnf(c_533,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_520,c_72]) ).
cnf(c_537,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_451,c_51]) ).
cnf(c_538,plain,
( ~ coll(sK22,sK20,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_452,c_51]) ).
cnf(c_555,plain,
( ~ perp(sK23,sK21,sK23,sK20)
| coll(sK9(sK23,sK23,sK20,sK21),sK20,sK23) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_559,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_451,c_537]) ).
cnf(c_560,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_559,c_51]) ).
cnf(c_562,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_559,c_49]) ).
cnf(c_563,plain,
( ~ coll(sK20,sK20,sK23)
| coll(sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_560]) ).
cnf(c_577,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_562,c_50]) ).
cnf(c_584,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_452,c_538]) ).
cnf(c_586,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_584,c_51]) ).
cnf(c_589,plain,
( ~ coll(sK21,sK21,sK23)
| coll(sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_586]) ).
cnf(c_618,plain,
( ~ coll(sK10(sK23,sK23,sK21,sK20),sK21,sK23)
| coll(sK21,sK10(sK23,sK23,sK21,sK20),sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_731,plain,
( ~ midp(X0,sK21,X1)
| para(sK22,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_166,c_93]) ).
cnf(c_732,plain,
( ~ midp(X0,sK20,X1)
| para(sK22,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_450,c_93]) ).
cnf(c_813,plain,
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
cnf(c_825,plain,
( ~ midp(sK22,X0,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_166,c_112]) ).
cnf(c_834,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_520,c_116]) ).
cnf(c_841,plain,
( ~ cong(sK21,sK22,X0,sK22)
| cong(sK21,sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_842,plain,
( ~ cong(sK21,sK22,sK23,sK22)
| cong(sK21,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_872,plain,
( ~ midp(sK22,X0,X1)
| para(sK20,X1,sK21,X0) ),
inference(superposition,[status(thm)],[c_825,c_53]) ).
cnf(c_893,plain,
( ~ midp(sK22,X0,X1)
| para(sK20,X1,X0,sK21) ),
inference(superposition,[status(thm)],[c_872,c_52]) ).
cnf(c_939,plain,
( ~ coll(sK25,sK21,sK22)
| perp(sK21,sK23,sK23,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_942,plain,
( ~ midp(sK20,sK23,sK21)
| cong(sK23,sK23,sK23,sK21) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
cnf(c_944,plain,
( ~ midp(sK21,sK23,sK20)
| cong(sK23,sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_499,c_104]) ).
cnf(c_986,plain,
( ~ para(sK20,X0,X1,X2)
| ~ midp(X3,sK21,X0)
| para(sK22,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_731,c_54]) ).
cnf(c_987,plain,
( ~ para(sK21,X0,X1,X2)
| ~ midp(X3,sK20,X0)
| para(sK22,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_732,c_54]) ).
cnf(c_994,plain,
( ~ para(sK20,X0,X1,X2)
| ~ midp(sK22,X3,X0)
| para(sK21,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_825,c_54]) ).
cnf(c_1048,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_1079,plain,
( ~ midp(sK22,X0,X1)
| ~ midp(sK22,X2,X1)
| para(sK21,X2,X0,sK21) ),
inference(superposition,[status(thm)],[c_893,c_994]) ).
cnf(c_1093,plain,
perp(sK23,sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_165,c_55]) ).
cnf(c_1096,plain,
perp(sK23,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_1164,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_533,c_72]) ).
cnf(c_1359,plain,
( ~ midp(X0,sK21,X1)
| para(sK22,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_166,c_93]) ).
cnf(c_1413,plain,
( ~ midp(sK22,X0,sK20)
| para(sK21,X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_166,c_1079]) ).
cnf(c_1414,plain,
( ~ midp(sK22,X0,sK21)
| para(sK21,X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1048,c_1079]) ).
cnf(c_1447,plain,
( ~ midp(sK22,X0,sK20)
| para(sK21,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_1413,c_53]) ).
cnf(c_1472,plain,
( ~ midp(sK22,X0,X1)
| para(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_1048,c_112]) ).
cnf(c_1477,plain,
coll(sK22,sK21,sK20),
inference(resolution,[status(thm)],[c_118,c_166]) ).
cnf(c_1535,plain,
perp(sK23,sK21,sK23,sK20),
inference(resolution,[status(thm)],[c_56,c_165]) ).
cnf(c_1539,plain,
perp(sK23,sK21,sK20,sK23),
inference(resolution,[status(thm)],[c_1535,c_55]) ).
cnf(c_1577,plain,
( ~ midp(sK20,sK23,sK21)
| para(sK23,sK23,sK23,sK21) ),
inference(superposition,[status(thm)],[c_942,c_813]) ).
cnf(c_1578,plain,
( ~ midp(sK21,sK23,sK20)
| para(sK23,sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_944,c_813]) ).
cnf(c_1622,plain,
perp(sK20,sK23,sK23,sK21),
inference(resolution,[status(thm)],[c_1539,c_56]) ).
cnf(c_1623,plain,
( ~ coll(sK9(sK23,sK23,sK20,sK21),sK20,sK23)
| coll(sK20,sK9(sK23,sK23,sK20,sK21),sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1690,plain,
( ~ midp(sK22,X0,sK21)
| para(sK21,X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1414,c_52]) ).
cnf(c_1695,plain,
( ~ midp(sK22,X0,sK20)
| coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_1447,c_115]) ).
cnf(c_1717,plain,
( ~ midp(X0,sK21,X1)
| ~ midp(sK22,X1,X2)
| para(sK22,X0,sK21,X2) ),
inference(superposition,[status(thm)],[c_1472,c_986]) ).
cnf(c_1761,plain,
( ~ midp(sK20,sK23,sK21)
| coll(sK23,sK23,sK21) ),
inference(superposition,[status(thm)],[c_1577,c_115]) ).
cnf(c_1854,plain,
( ~ para(sK21,sK21,X0,X1)
| ~ midp(sK22,X2,sK20)
| para(sK21,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_1413,c_54]) ).
cnf(c_1920,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_1093,c_57]) ).
cnf(c_1921,plain,
( ~ perp(sK23,sK20,X0,X1)
| para(sK23,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1096,c_57]) ).
cnf(c_1962,plain,
( ~ coll(sK21,sK10(sK23,sK23,sK21,sK20),X0)
| ~ coll(sK21,sK10(sK23,sK23,sK21,sK20),sK23)
| coll(X0,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1965,plain,
( ~ coll(sK21,sK10(sK23,sK23,sK21,sK20),sK23)
| coll(sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_1962]) ).
cnf(c_2122,plain,
( ~ coll(sK22,sK21,X0)
| coll(X0,sK20,sK22) ),
inference(resolution,[status(thm)],[c_51,c_1477]) ).
cnf(c_2183,plain,
( ~ coll(sK25,sK21,sK22)
| para(sK23,sK20,sK23,sK22) ),
inference(superposition,[status(thm)],[c_939,c_1920]) ).
cnf(c_2188,plain,
( ~ coll(sK25,sK21,sK22)
| para(sK23,sK22,sK23,sK20) ),
inference(superposition,[status(thm)],[c_2183,c_53]) ).
cnf(c_2223,plain,
para(sK23,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_165,c_1921]) ).
cnf(c_2230,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_2223,c_115]) ).
cnf(c_2233,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_2230,c_50]) ).
cnf(c_2241,plain,
coll(sK20,sK20,sK22),
inference(resolution,[status(thm)],[c_2122,c_1477]) ).
cnf(c_2246,plain,
( ~ coll(sK20,sK20,X0)
| coll(X0,sK22,sK20) ),
inference(resolution,[status(thm)],[c_2241,c_51]) ).
cnf(c_2247,plain,
( ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2246]) ).
cnf(c_2249,plain,
( ~ perp(sK20,X0,X1,X2)
| ~ midp(X3,sK21,X0)
| perp(sK22,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_1359,c_58]) ).
cnf(c_2599,plain,
( ~ midp(X0,sK20,X1)
| ~ midp(sK22,X1,sK20)
| para(sK22,X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_1413,c_987]) ).
cnf(c_2676,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_2714,plain,
( ~ midp(sK22,sK21,sK20)
| para(sK22,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_2676,c_2599]) ).
cnf(c_2728,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_2233,c_49]) ).
cnf(c_3016,plain,
( ~ cong(sK21,sK22,sK22,X0)
| cong(sK22,X0,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_3019,plain,
( ~ cong(sK21,sK22,sK22,sK23)
| cong(sK22,sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_3016]) ).
cnf(c_3091,plain,
coll(sK23,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_1761,c_165,c_378,c_618,c_1965]) ).
cnf(c_3095,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_3091,c_49]) ).
cnf(c_3133,plain,
( ~ cong(sK22,sK21,sK22,sK20)
| ~ cong(sK22,sK20,sK22,sK21)
| cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_4048,plain,
( ~ perp(X0,X1,sK23,sK21)
| para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_57,c_1535]) ).
cnf(c_4151,plain,
( ~ para(X0,X1,sK23,sK20)
| perp(X0,X1,sK23,sK21) ),
inference(resolution,[status(thm)],[c_58,c_165]) ).
cnf(c_4159,plain,
( ~ para(X0,X1,sK20,sK23)
| perp(X0,X1,sK23,sK21) ),
inference(resolution,[status(thm)],[c_58,c_1622]) ).
cnf(c_4160,plain,
( ~ para(sK23,sK23,sK20,sK23)
| perp(sK23,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_4159]) ).
cnf(c_4315,plain,
( ~ para(X0,X1,sK23,sK20)
| perp(sK23,sK21,X0,X1) ),
inference(resolution,[status(thm)],[c_4151,c_56]) ).
cnf(c_4449,plain,
para(sK23,sK20,sK23,sK20),
inference(resolution,[status(thm)],[c_4048,c_165]) ).
cnf(c_4450,plain,
para(sK20,sK23,sK23,sK20),
inference(resolution,[status(thm)],[c_4048,c_1622]) ).
cnf(c_4505,plain,
coll(sK23,sK20,sK20),
inference(resolution,[status(thm)],[c_4449,c_115]) ).
cnf(c_4516,plain,
coll(sK20,sK23,sK20),
inference(resolution,[status(thm)],[c_4505,c_50]) ).
cnf(c_4854,plain,
( ~ para(X0,X1,sK23,sK20)
| ~ perp(X2,X3,sK23,sK21)
| para(X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[c_4315,c_57]) ).
cnf(c_4857,plain,
( ~ para(sK23,sK23,sK23,sK20)
| ~ perp(sK23,sK23,sK23,sK21)
| para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_4854]) ).
cnf(c_4896,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_4900,plain,
( ~ para(sK23,sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| cyclic(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_4896]) ).
cnf(c_5608,plain,
coll(sK20,sK20,sK23),
inference(resolution,[status(thm)],[c_4516,c_49]) ).
cnf(c_5695,plain,
( ~ para(X0,X1,sK20,sK23)
| para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_4450,c_54]) ).
cnf(c_5696,plain,
( ~ para(sK23,sK23,sK20,sK23)
| para(sK23,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_5695]) ).
cnf(c_6146,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_6174,plain,
( ~ midp(sK22,sK21,sK20)
| para(sK22,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_6146,c_2599]) ).
cnf(c_6175,plain,
para(sK22,sK22,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_6174,c_166,c_2714]) ).
cnf(c_6177,plain,
para(sK21,sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_6175,c_53]) ).
cnf(c_6232,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_3095,c_51]) ).
cnf(c_6236,plain,
( ~ coll(sK23,sK21,sK23)
| coll(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6232]) ).
cnf(c_6276,plain,
( ~ midp(sK22,X0,sK20)
| para(sK21,X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_6177,c_1854]) ).
cnf(c_6390,plain,
( ~ para(sK21,sK21,X0,X1)
| para(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6175,c_54]) ).
cnf(c_6593,plain,
( ~ coll(sK25,sK21,sK22)
| coll(sK23,sK22,sK20) ),
inference(superposition,[status(thm)],[c_2188,c_115]) ).
cnf(c_6638,plain,
coll(sK23,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_6593,c_2247,c_5608]) ).
cnf(c_6642,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_6638,c_49]) ).
cnf(c_6748,plain,
( ~ midp(sK22,X0,sK20)
| para(sK22,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_6276,c_53]) ).
cnf(c_6856,plain,
( ~ midp(sK22,sK21,sK21)
| para(sK22,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1690,c_6390]) ).
cnf(c_6971,plain,
( ~ coll(sK22,X0,X1)
| ~ midp(sK22,X0,sK21)
| ~ midp(sK22,X1,sK20)
| midp(sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6748,c_94]) ).
cnf(c_6978,plain,
( ~ coll(sK22,sK23,sK23)
| ~ midp(sK22,sK23,sK21)
| ~ midp(sK22,sK23,sK20)
| midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6971]) ).
cnf(c_7514,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK22,X0,sK21)
| ~ midp(sK22,sK21,sK21)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_6856,c_94]) ).
cnf(c_7521,plain,
( ~ coll(sK22,sK23,sK20)
| ~ midp(sK22,sK23,sK21)
| ~ midp(sK22,sK21,sK21)
| midp(sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7514]) ).
cnf(c_7880,plain,
( ~ coll(sK20,sK9(sK23,sK23,sK20,sK21),X0)
| ~ coll(sK20,sK9(sK23,sK23,sK20,sK21),sK23)
| coll(X0,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7883,plain,
( ~ coll(sK20,sK9(sK23,sK23,sK20,sK21),sK23)
| coll(sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7880]) ).
cnf(c_8767,plain,
( ~ cong(sK22,X0,sK21,sK22)
| cong(sK22,X0,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_8768,plain,
( ~ cong(sK22,sK23,sK21,sK22)
| cong(sK22,sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_8767]) ).
cnf(c_12140,plain,
( ~ para(sK24,X0,sK24,X1)
| coll(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_12143,plain,
( ~ para(sK24,sK23,sK24,sK23)
| coll(sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_12140]) ).
cnf(c_12862,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| ~ coll(sK22,sK20,sK20)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_13599,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_13620,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_6642,c_49]) ).
cnf(c_13634,plain,
perp(sK23,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_13640,plain,
perp(sK23,sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_13634,c_55]) ).
cnf(c_13643,plain,
perp(sK20,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_13640,c_56]) ).
cnf(c_13679,plain,
( ~ coll(sK23,sK20,X0)
| coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_6642,c_51]) ).
cnf(c_13684,plain,
( ~ coll(sK23,sK20,sK23)
| coll(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_13679]) ).
cnf(c_13771,plain,
( ~ midp(X0,sK21,sK23)
| perp(sK22,X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_13643,c_2249]) ).
cnf(c_13773,plain,
( ~ midp(sK22,X0,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_166,c_112]) ).
cnf(c_14037,plain,
( ~ midp(sK21,sK23,sK20)
| coll(sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_1578,c_115]) ).
cnf(c_14053,plain,
coll(sK23,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_14037,c_165,c_359,c_555,c_1623,c_7883]) ).
cnf(c_14057,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_14053,c_49]) ).
cnf(c_14123,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
cnf(c_14325,plain,
( ~ midp(X0,sK23,sK21)
| ~ midp(X0,sK21,sK23)
| cong(sK22,sK23,sK22,sK21) ),
inference(superposition,[status(thm)],[c_13771,c_104]) ).
cnf(c_14371,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK22,X0,X2)
| ~ midp(sK21,X1,sK20)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13773,c_94]) ).
cnf(c_15814,plain,
( ~ midp(sK22,sK20,X0)
| para(sK22,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_166,c_1717]) ).
cnf(c_15863,plain,
( ~ para(sK21,X0,X1,X2)
| ~ midp(sK22,sK20,X0)
| para(sK22,sK22,X1,X2) ),
inference(superposition,[status(thm)],[c_15814,c_54]) ).
cnf(c_16797,plain,
( ~ midp(sK22,X0,X1)
| ~ midp(sK22,sK20,X0)
| para(sK22,sK22,sK20,X1) ),
inference(superposition,[status(thm)],[c_13773,c_15863]) ).
cnf(c_16951,plain,
( ~ midp(sK22,sK20,sK20)
| para(sK22,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_13599,c_16797]) ).
cnf(c_17117,plain,
para(sK22,sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_16951,c_166,c_355,c_357,c_396,c_577,c_3133,c_12862,c_16951]) ).
cnf(c_17120,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK22,X0,sK20)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_17117,c_94]) ).
cnf(c_17209,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| cong(X1,X2,X4,X4) ),
inference(superposition,[status(thm)],[c_14123,c_92]) ).
cnf(c_17214,plain,
( ~ para(sK23,sK23,sK23,sK23)
| ~ cyclic(sK23,sK23,sK23,sK23)
| cong(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_17209]) ).
cnf(c_18640,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_13620,c_50]) ).
cnf(c_18824,plain,
( ~ midp(sK21,sK23,sK20)
| ~ midp(sK22,sK22,sK20)
| midp(sK22,sK23,sK20) ),
inference(superposition,[status(thm)],[c_18640,c_14371]) ).
cnf(c_20294,plain,
( ~ midp(sK22,X0,sK20)
| midp(sK22,X0,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_17120,c_586,c_1695,c_17120]) ).
cnf(c_20297,plain,
midp(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_166,c_20294]) ).
cnf(c_21357,plain,
cong(sK22,sK23,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_14325,c_166,c_365,c_500,c_842,c_3019,c_8768]) ).
cnf(c_21361,plain,
( ~ coll(sK22,sK23,sK21)
| midp(sK22,sK23,sK21) ),
inference(superposition,[status(thm)],[c_21357,c_116]) ).
cnf(c_22024,plain,
midp(sK22,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_18824,c_563,c_589,c_2728,c_5608,c_7521,c_20297,c_21361]) ).
cnf(c_22026,plain,
( ~ midp(sK22,X0,X1)
| para(sK23,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_22024,c_112]) ).
cnf(c_22050,plain,
( ~ midp(sK22,sK23,sK23)
| para(sK23,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_22026]) ).
cnf(c_23636,plain,
( ~ cong(sK24,sK23,sK23,sK23)
| ~ cong(sK24,sK25,sK23,sK25)
| perp(sK24,sK23,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_26092,plain,
( ~ eqangle(sK24,sK23,sK24,X0,sK25,sK23,sK25,X0)
| ~ coll(sK24,sK25,X0)
| cyclic(sK23,X0,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_26093,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK25,sK23,sK25,sK23)
| ~ coll(sK24,sK25,sK23)
| cyclic(sK23,sK23,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_26092]) ).
cnf(c_26212,plain,
( ~ cong(sK24,sK23,sK24,X0)
| ~ cong(sK24,sK23,sK24,X1)
| circle(sK24,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_26213,plain,
( ~ cong(sK24,sK23,sK24,sK23)
| circle(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_26212]) ).
cnf(c_36446,plain,
( ~ eqangle(X0,sK24,X0,sK25,X1,sK23,X1,sK25)
| ~ cyclic(sK24,sK25,X0,X1)
| ~ cyclic(sK24,sK25,X0,sK23)
| ~ cyclic(sK24,sK25,X0,sK25)
| cong(sK24,sK25,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_36447,plain,
( ~ eqangle(sK23,sK24,sK23,sK25,sK23,sK23,sK23,sK25)
| ~ cyclic(sK24,sK25,sK23,sK23)
| ~ cyclic(sK24,sK25,sK23,sK25)
| cong(sK24,sK25,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_36446]) ).
cnf(c_38095,plain,
( ~ eqangle(sK24,sK23,sK25,sK23,sK24,X0,sK25,X0)
| eqangle(sK24,sK23,sK24,X0,sK25,sK23,sK25,X0) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_38096,plain,
( ~ eqangle(sK24,sK23,sK25,sK23,sK24,sK23,sK25,sK23)
| eqangle(sK24,sK23,sK24,sK23,sK25,sK23,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_38095]) ).
cnf(c_38990,plain,
( ~ para(sK23,sK24,X0,X1)
| eqangle(sK23,sK24,sK23,sK25,X0,X1,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_38992,plain,
( ~ para(sK23,sK24,sK23,sK23)
| eqangle(sK23,sK24,sK23,sK25,sK23,sK23,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_38990]) ).
cnf(c_39158,plain,
( ~ cyclic(X0,sK24,sK25,X1)
| ~ cyclic(X0,sK24,sK25,sK25)
| cyclic(sK24,sK25,X1,sK25) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_39159,plain,
( ~ cyclic(sK23,sK24,sK25,sK23)
| ~ cyclic(sK23,sK24,sK25,sK25)
| cyclic(sK24,sK25,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_39158]) ).
cnf(c_48915,plain,
( ~ eqangle(sK24,sK23,X0,X1,X2,X3,X4,X5)
| ~ para(X2,X3,X4,X5)
| para(sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_48934,plain,
( ~ eqangle(sK24,sK23,sK24,X0,sK25,sK23,sK25,X0)
| cyclic(sK23,X0,sK24,sK25)
| coll(sK24,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_48935,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK25,sK23,sK25,sK23)
| cyclic(sK23,sK23,sK24,sK25)
| coll(sK24,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_48934]) ).
cnf(c_49869,plain,
( ~ para(X0,sK24,X1,sK24)
| ~ midp(sK23,X0,X1)
| midp(sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_49870,plain,
( ~ para(sK23,sK24,sK23,sK24)
| ~ midp(sK23,sK23,sK23)
| midp(sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_49869]) ).
cnf(c_50190,plain,
( ~ coll(sK24,sK23,sK23)
| ~ midp(sK23,sK24,sK24)
| midp(sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_834]) ).
cnf(c_50292,plain,
( ~ para(X0,X1,X2,sK24)
| ~ para(X0,sK24,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK24,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_50293,plain,
( ~ para(sK23,sK24,sK23,sK23)
| ~ para(sK23,sK23,sK23,sK24)
| ~ midp(sK23,sK23,sK23)
| midp(sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_50292]) ).
cnf(c_50442,plain,
( ~ eqangle(sK23,X0,sK23,X1,X2,sK23,X2,X1)
| ~ circle(sK24,sK23,X1,X2)
| perp(sK24,sK23,sK23,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_50443,plain,
( ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23)
| ~ circle(sK24,sK23,sK23,sK23)
| perp(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_50442]) ).
cnf(c_50569,plain,
( ~ eqangle(X0,X1,X2,X3,sK24,sK23,X4,X5)
| eqangle(sK24,sK23,X4,X5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_50573,plain,
( ~ eqangle(sK24,sK23,sK24,X0,X1,sK23,X1,X0)
| ~ para(X1,sK23,X1,X0)
| para(sK24,sK23,sK24,X0) ),
inference(instantiation,[status(thm)],[c_48915]) ).
cnf(c_50575,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK23,sK23,sK23,sK23)
| ~ para(sK23,sK23,sK23,sK23)
| para(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_50573]) ).
cnf(c_50958,plain,
( ~ para(sK23,sK24,sK23,X0)
| para(sK23,X0,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_50959,plain,
( ~ para(sK23,sK24,sK23,sK23)
| para(sK23,sK23,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_50958]) ).
cnf(c_52877,plain,
( ~ midp(sK23,sK24,sK24)
| cong(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_1164]) ).
cnf(c_53176,plain,
( ~ cyclic(X0,sK24,sK25,X1)
| ~ cyclic(X0,sK24,sK25,sK23)
| cyclic(sK24,sK25,sK23,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_53177,plain,
( ~ cyclic(sK23,sK24,sK25,sK23)
| cyclic(sK24,sK25,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_53176]) ).
cnf(c_53204,plain,
( ~ cyclic(X0,sK23,sK24,X1)
| ~ cyclic(X0,sK23,sK24,sK25)
| cyclic(sK23,sK24,sK25,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_53205,plain,
( ~ cyclic(sK23,sK23,sK24,sK23)
| ~ cyclic(sK23,sK23,sK24,sK25)
| cyclic(sK23,sK24,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_53204]) ).
cnf(c_54552,plain,
( ~ perp(sK24,X0,X0,X1)
| ~ midp(sK23,sK24,X1)
| cong(sK24,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_54553,plain,
( ~ perp(sK24,sK23,sK23,sK23)
| ~ midp(sK23,sK24,sK23)
| cong(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_54552]) ).
cnf(c_54697,plain,
( ~ eqangle(X0,sK24,X1,X2,X3,sK24,X1,X2)
| para(X0,sK24,X3,sK24) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_54700,plain,
( ~ eqangle(sK23,sK24,sK23,sK23,sK23,sK24,sK23,sK23)
| para(sK23,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_54697]) ).
cnf(c_55827,plain,
( ~ eqangle(sK24,X0,sK24,sK23,X1,X0,X1,sK23)
| ~ coll(sK24,X1,sK23)
| cyclic(X0,sK23,sK24,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_55829,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK23,sK23,sK23,sK23)
| ~ coll(sK24,sK23,sK23)
| cyclic(sK23,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_55827]) ).
cnf(c_56745,plain,
( ~ cyclic(X0,X1,sK24,sK25)
| cyclic(X1,sK24,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_56746,plain,
( ~ cyclic(sK23,sK23,sK24,sK25)
| cyclic(sK23,sK24,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_56745]) ).
cnf(c_56950,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK23,X0,X2)
| para(sK23,sK24,X2,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_56951,plain,
( ~ midp(sK24,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| para(sK23,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_56950]) ).
cnf(c_58232,plain,
( ~ eqangle(X0,X1,sK24,X1,X0,sK23,sK24,sK23)
| eqangle(X0,X1,X0,sK23,sK24,X1,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_58233,plain,
( ~ eqangle(sK23,sK23,sK24,sK23,sK23,sK23,sK24,sK23)
| eqangle(sK23,sK23,sK23,sK23,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_58232]) ).
cnf(c_61238,plain,
( ~ para(sK24,X0,sK24,X1)
| eqangle(sK24,X0,sK25,X0,sK24,X1,sK25,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_61239,plain,
( ~ para(sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,sK25,sK23,sK24,sK23,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_61238]) ).
cnf(c_61877,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK24,sK23,X2,X3,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_61878,plain,
( ~ para(sK23,sK23,sK23,sK23)
| eqangle(sK23,sK23,sK24,sK23,sK23,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_61877]) ).
cnf(c_62247,plain,
( ~ eqangle(X0,sK23,X0,X1,sK24,sK23,sK24,X1)
| eqangle(sK24,sK23,sK24,X1,X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_50569]) ).
cnf(c_62249,plain,
( ~ eqangle(sK23,sK23,sK23,sK23,sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,sK24,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_62247]) ).
cnf(c_62303,plain,
( ~ eqangle(X0,X1,X0,sK24,X2,X3,X2,sK24)
| eqangle(X0,sK24,X0,X1,X2,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_62304,plain,
( ~ eqangle(sK23,sK23,sK23,sK24,sK23,sK23,sK23,sK24)
| eqangle(sK23,sK24,sK23,sK23,sK23,sK24,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_62303]) ).
cnf(c_62483,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK24,X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_62485,plain,
( ~ para(sK23,sK23,sK23,sK23)
| eqangle(sK23,sK23,sK23,sK24,sK23,sK23,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_62483]) ).
cnf(c_64119,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_62485,c_62304,c_62249,c_61878,c_61239,c_58233,c_56951,c_56746,c_55829,c_54700,c_54553,c_53205,c_53177,c_52877,c_50959,c_50575,c_50443,c_50293,c_50190,c_49870,c_48935,c_39159,c_38992,c_38096,c_36447,c_26213,c_26093,c_23636,c_22050,c_21361,c_20297,c_17214,c_14057,c_13684,c_12143,c_7521,c_6978,c_6236,c_5696,c_5608,c_4900,c_4857,c_4160,c_3095,c_2728,c_589,c_563,c_176,c_172,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO607+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 20:55:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.42/4.69 % SZS status Started for theBenchmark.p
% 28.42/4.69 % SZS status Theorem for theBenchmark.p
% 28.42/4.69
% 28.42/4.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.42/4.69
% 28.42/4.69 ------ iProver source info
% 28.42/4.69
% 28.42/4.69 git: date: 2023-05-31 18:12:56 +0000
% 28.42/4.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.42/4.69 git: non_committed_changes: false
% 28.42/4.69 git: last_make_outside_of_git: false
% 28.42/4.69
% 28.42/4.69 ------ Parsing...
% 28.42/4.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.42/4.69
% 28.42/4.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.42/4.69
% 28.42/4.69 ------ Preprocessing...
% 28.42/4.69
% 28.42/4.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.42/4.69 ------ Proving...
% 28.42/4.69 ------ Problem Properties
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69 clauses 117
% 28.42/4.69 conjectures 5
% 28.42/4.69 EPR 80
% 28.42/4.69 Horn 107
% 28.42/4.69 unary 5
% 28.42/4.69 binary 37
% 28.42/4.69 lits 333
% 28.42/4.69 lits eq 4
% 28.42/4.69 fd_pure 0
% 28.42/4.69 fd_pseudo 0
% 28.42/4.69 fd_cond 0
% 28.42/4.69 fd_pseudo_cond 4
% 28.42/4.69 AC symbols 0
% 28.42/4.69
% 28.42/4.69 ------ Input Options Time Limit: Unbounded
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69 ------
% 28.42/4.69 Current options:
% 28.42/4.69 ------
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69 ------ Proving...
% 28.42/4.69
% 28.42/4.69
% 28.42/4.69 % SZS status Theorem for theBenchmark.p
% 28.42/4.69
% 28.42/4.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.42/4.69
% 28.42/4.69
%------------------------------------------------------------------------------