TSTP Solution File: GEO561+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO561+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 23:11:46 EDT 2023
% Result : Theorem 31.96s 5.20s
% Output : CNFRefutation 31.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 27
% Syntax : Number of formulae : 286 ( 31 unt; 0 def)
% Number of atoms : 751 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 815 ( 350 ~; 302 |; 121 &)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 956 ( 0 sgn; 580 !; 36 ?)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(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/sandbox2/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/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(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/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
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(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(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(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X8,X9,X16,X6,X4,X3,X18,X19] :
( ( coll(X3,X16,X6)
& coll(X3,X0,X1)
& coll(X4,X16,X6)
& coll(X4,X0,X2)
& circle(X7,X0,X6,X19)
& coll(X6,X7,X9)
& circle(X7,X0,X16,X18)
& coll(X16,X7,X8)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X3,X3,X4,X3,X4,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214022) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X8,X9,X16,X6,X4,X3,X18,X19] :
( ( coll(X3,X16,X6)
& coll(X3,X0,X1)
& coll(X4,X16,X6)
& coll(X4,X0,X2)
& circle(X7,X0,X6,X19)
& coll(X6,X7,X9)
& circle(X7,X0,X16,X18)
& coll(X16,X7,X8)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X3,X3,X4,X3,X4,X4,X0) ),
inference(negated_conjecture,[],[f95]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
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(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(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(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(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0)
& coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0)
& coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0)
& coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> ( ~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20)
& coll(sK29,sK26,sK27)
& coll(sK29,sK20,sK21)
& coll(sK28,sK26,sK27)
& coll(sK28,sK20,sK22)
& circle(sK23,sK20,sK27,sK31)
& coll(sK27,sK23,sK25)
& circle(sK23,sK20,sK26,sK30)
& coll(sK26,sK23,sK24)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20)
& coll(sK29,sK26,sK27)
& coll(sK29,sK20,sK21)
& coll(sK28,sK26,sK27)
& coll(sK28,sK20,sK22)
& circle(sK23,sK20,sK27,sK31)
& coll(sK27,sK23,sK25)
& circle(sK23,sK20,sK26,sK30)
& coll(sK26,sK23,sK24)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[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(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(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(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(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f476,plain,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK28,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20),
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_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_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_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_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20),
inference(cnf_transformation,[],[f486]) ).
cnf(c_164,negated_conjecture,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f484]) ).
cnf(c_166,negated_conjecture,
coll(sK28,sK20,sK22),
inference(cnf_transformation,[],[f482]) ).
cnf(c_172,negated_conjecture,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f476]) ).
cnf(c_181,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_184,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_186,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_190,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_239,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2411,plain,
( ~ coll(sK29,sK20,sK21)
| coll(sK20,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2412,plain,
( ~ coll(sK29,sK20,sK21)
| coll(sK29,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2432,plain,
( ~ coll(sK28,sK20,sK22)
| coll(sK28,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2479,plain,
( ~ perp(sK25,sK23,sK20,sK21)
| perp(sK20,sK21,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2481,plain,
( ~ perp(X0,X1,sK25,sK23)
| ~ perp(sK25,sK23,sK20,sK21)
| para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2651,plain,
( ~ coll(sK20,sK29,X0)
| ~ coll(sK20,sK29,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2652,plain,
( ~ coll(sK20,sK29,sK20)
| ~ coll(sK20,sK29,sK21)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2651]) ).
cnf(c_2663,plain,
( ~ coll(sK29,sK21,X0)
| ~ coll(sK29,sK21,sK20)
| coll(X0,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2664,plain,
( ~ coll(sK29,sK21,sK20)
| coll(sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_2663]) ).
cnf(c_2712,plain,
( ~ coll(sK28,sK22,X0)
| ~ coll(sK28,sK22,sK20)
| coll(X0,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2713,plain,
( ~ coll(sK28,sK22,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_2712]) ).
cnf(c_2809,plain,
( ~ perp(sK20,sK21,sK25,sK23)
| ~ perp(sK25,sK23,sK20,sK21)
| para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2481]) ).
cnf(c_3558,plain,
( ~ coll(X0,sK20,sK29)
| coll(X0,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3559,plain,
( ~ coll(sK20,sK20,sK29)
| coll(sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_3558]) ).
cnf(c_3563,plain,
( ~ eqangle(X0,X1,X0,sK29,sK20,X1,sK20,sK29)
| ~ coll(X0,sK20,sK29)
| cyclic(X1,sK29,X0,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_3564,plain,
( ~ eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29)
| ~ coll(sK20,sK20,sK29)
| cyclic(sK20,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3563]) ).
cnf(c_3641,plain,
( ~ coll(X0,sK20,sK28)
| coll(X0,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3642,plain,
( ~ coll(sK20,sK20,sK28)
| coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_3641]) ).
cnf(c_3646,plain,
( ~ eqangle(X0,X1,X0,sK28,sK20,X1,sK20,sK28)
| ~ coll(X0,sK20,sK28)
| cyclic(X1,sK28,X0,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_3647,plain,
( ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3646]) ).
cnf(c_3938,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_3942,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3938]) ).
cnf(c_4481,plain,
( ~ coll(X0,sK21,X1)
| ~ coll(X0,sK21,sK20)
| coll(X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4482,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4481]) ).
cnf(c_4740,plain,
( ~ eqangle(X0,X1,X0,sK20,sK29,X1,sK29,sK20)
| ~ coll(X0,sK29,sK20)
| cyclic(X1,sK20,X0,sK29) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_4741,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK29,sK20,sK29,sK20)
| ~ coll(sK20,sK29,sK20)
| cyclic(sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_4740]) ).
cnf(c_5959,plain,
( ~ eqangle(sK20,sK21,sK20,X0,sK20,sK21,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK21,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_5962,plain,
( ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5959]) ).
cnf(c_8507,plain,
~ eqangle(sK29,sK20,sK29,sK28,sK29,sK28,sK28,sK20),
inference(resolution,[status(thm)],[c_162,c_66]) ).
cnf(c_8642,plain,
~ eqangle(sK29,sK28,sK29,sK20,sK28,sK20,sK29,sK28),
inference(resolution,[status(thm)],[c_8507,c_67]) ).
cnf(c_8719,plain,
~ eqangle(sK28,sK29,sK29,sK20,sK28,sK20,sK29,sK28),
inference(resolution,[status(thm)],[c_8642,c_66]) ).
cnf(c_8863,plain,
~ eqangle(sK29,sK20,sK28,sK29,sK29,sK28,sK28,sK20),
inference(resolution,[status(thm)],[c_8719,c_67]) ).
cnf(c_9087,plain,
~ eqangle(sK20,sK29,sK28,sK29,sK29,sK28,sK28,sK20),
inference(resolution,[status(thm)],[c_8863,c_66]) ).
cnf(c_9188,plain,
~ eqangle(sK28,sK29,sK20,sK29,sK28,sK20,sK29,sK28),
inference(resolution,[status(thm)],[c_9087,c_67]) ).
cnf(c_9320,plain,
~ eqangle(sK28,sK20,sK29,sK28,sK28,sK29,sK20,sK29),
inference(resolution,[status(thm)],[c_9188,c_68]) ).
cnf(c_9385,plain,
~ eqangle(sK20,sK28,sK29,sK28,sK28,sK29,sK20,sK29),
inference(resolution,[status(thm)],[c_9320,c_66]) ).
cnf(c_9728,plain,
~ eqangle(sK29,sK28,sK20,sK28,sK20,sK29,sK28,sK29),
inference(resolution,[status(thm)],[c_9385,c_67]) ).
cnf(c_9801,plain,
~ eqangle(sK28,sK29,sK20,sK28,sK20,sK29,sK28,sK29),
inference(resolution,[status(thm)],[c_9728,c_66]) ).
cnf(c_10028,plain,
~ eqangle(sK20,sK28,sK28,sK29,sK28,sK29,sK20,sK29),
inference(resolution,[status(thm)],[c_9801,c_67]) ).
cnf(c_10111,plain,
~ eqangle(sK28,sK20,sK28,sK29,sK28,sK29,sK20,sK29),
inference(resolution,[status(thm)],[c_10028,c_66]) ).
cnf(c_10212,plain,
~ eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK28,sK29),
inference(resolution,[status(thm)],[c_10111,c_67]) ).
cnf(c_10378,plain,
~ eqangle(sK20,sK29,sK28,sK29,sK28,sK29,sK28,sK20),
inference(resolution,[status(thm)],[c_10212,c_68]) ).
cnf(c_10669,plain,
~ eqangle(sK29,sK20,sK28,sK29,sK28,sK29,sK28,sK20),
inference(resolution,[status(thm)],[c_10378,c_66]) ).
cnf(c_10847,plain,
~ eqangle(sK28,sK29,sK29,sK20,sK28,sK20,sK28,sK29),
inference(resolution,[status(thm)],[c_10669,c_67]) ).
cnf(c_11020,plain,
~ eqangle(sK29,sK28,sK29,sK20,sK28,sK20,sK28,sK29),
inference(resolution,[status(thm)],[c_10847,c_66]) ).
cnf(c_11150,plain,
~ eqangle(sK28,sK20,sK28,sK29,sK29,sK28,sK29,sK20),
inference(resolution,[status(thm)],[c_11020,c_68]) ).
cnf(c_11185,plain,
~ eqangle(sK20,sK28,sK28,sK29,sK29,sK28,sK29,sK20),
inference(resolution,[status(thm)],[c_11150,c_66]) ).
cnf(c_11317,plain,
~ eqangle(sK28,sK29,sK20,sK28,sK29,sK20,sK29,sK28),
inference(resolution,[status(thm)],[c_11185,c_67]) ).
cnf(c_11429,plain,
~ eqangle(sK29,sK28,sK20,sK28,sK29,sK20,sK29,sK28),
inference(resolution,[status(thm)],[c_11317,c_66]) ).
cnf(c_11562,plain,
~ eqangle(sK20,sK28,sK29,sK28,sK29,sK28,sK29,sK20),
inference(resolution,[status(thm)],[c_11429,c_67]) ).
cnf(c_11597,plain,
( ~ cyclic(sK21,X0,X1,X2)
| ~ cyclic(sK21,X0,X1,sK20)
| cyclic(X0,X1,X2,sK20) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_11598,plain,
( ~ cyclic(sK21,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11597]) ).
cnf(c_11790,plain,
( ~ eqangle(X0,X1,X2,X3,sK29,sK28,sK29,sK20)
| ~ eqangle(sK20,sK28,sK29,sK28,X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11562,c_70]) ).
cnf(c_11902,plain,
( ~ eqangle(X0,X1,X2,X3,sK29,sK28,sK29,sK20)
| ~ eqangle(sK28,sK20,sK29,sK28,X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11790,c_66]) ).
cnf(c_12608,plain,
( ~ eqangle(X0,X1,X2,X3,sK29,sK28,sK29,sK20)
| ~ eqangle(sK29,sK28,sK28,sK20,X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[c_11902,c_67]) ).
cnf(c_13345,plain,
( ~ eqangle(X0,X1,X2,X3,sK29,sK28,sK29,sK20)
| ~ eqangle(sK28,sK29,sK28,sK20,X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[c_12608,c_66]) ).
cnf(c_13481,plain,
( ~ para(sK20,X0,sK20,X0)
| eqangle(sK20,X0,sK20,sK29,sK20,X0,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_13483,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_13481]) ).
cnf(c_13486,plain,
( ~ para(sK20,X0,sK20,X0)
| eqangle(sK20,X0,sK20,sK28,sK20,X0,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_13488,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_13486]) ).
cnf(c_14126,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(X2,X3,X0,X1,sK29,sK28,sK29,sK20) ),
inference(resolution,[status(thm)],[c_13345,c_68]) ).
cnf(c_14324,plain,
( ~ eqangle(X0,X1,sK29,X1,X0,sK20,sK29,sK20)
| eqangle(X0,X1,X0,sK20,sK29,X1,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_14325,plain,
( ~ eqangle(sK20,sK20,sK29,sK20,sK20,sK20,sK29,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK29,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_14324]) ).
cnf(c_14846,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(X3,X2,X0,X1,sK29,sK28,sK29,sK20) ),
inference(resolution,[status(thm)],[c_14126,c_66]) ).
cnf(c_15257,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(X0,X1,X3,X2,sK29,sK20,sK29,sK28) ),
inference(resolution,[status(thm)],[c_14846,c_67]) ).
cnf(c_15862,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(X1,X0,X3,X2,sK29,sK20,sK29,sK28) ),
inference(resolution,[status(thm)],[c_15257,c_66]) ).
cnf(c_15995,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK29,sK20,sK29,sK28,X1,X0,X3,X2) ),
inference(resolution,[status(thm)],[c_15862,c_68]) ).
cnf(c_17653,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK20,sK29,sK29,sK28,X1,X0,X3,X2) ),
inference(resolution,[status(thm)],[c_15995,c_66]) ).
cnf(c_18480,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK29,sK28,sK20,sK29,X3,X2,X1,X0) ),
inference(resolution,[status(thm)],[c_17653,c_67]) ).
cnf(c_18917,plain,
( ~ eqangle(sK29,sK28,sK20,sK29,X0,X1,X2,X3)
| eqangle(sK20,sK29,sK29,sK28,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_18918,plain,
( ~ eqangle(sK29,sK28,sK20,sK29,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK29,sK29,sK28,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18917]) ).
cnf(c_19011,plain,
( ~ eqangle(sK20,sK29,sK29,sK28,X0,X1,X2,X3)
| eqangle(sK29,sK20,sK29,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_19012,plain,
( ~ eqangle(sK20,sK29,sK29,sK28,sK20,sK20,sK20,sK20)
| eqangle(sK29,sK20,sK29,sK28,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19011]) ).
cnf(c_19041,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK28,sK29,sK20,sK29,X3,X2,X1,X0) ),
inference(resolution,[status(thm)],[c_18480,c_66]) ).
cnf(c_19084,plain,
( ~ eqangle(sK28,sK29,sK20,sK29,X0,X1,X2,X3)
| eqangle(sK29,sK28,sK20,sK29,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_19085,plain,
( ~ eqangle(sK28,sK29,sK20,sK29,sK20,sK20,sK20,sK20)
| eqangle(sK29,sK28,sK20,sK29,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19084]) ).
cnf(c_19301,plain,
( ~ eqangle(sK29,sK20,sK29,sK28,X0,X1,X2,X3)
| eqangle(sK29,sK28,sK29,sK20,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_19302,plain,
( ~ eqangle(sK29,sK20,sK29,sK28,sK20,sK20,sK20,sK20)
| eqangle(sK29,sK28,sK29,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19301]) ).
cnf(c_19575,plain,
( ~ eqangle(sK28,sK29,X0,X1,sK20,sK29,X2,X3)
| eqangle(sK28,sK29,sK20,sK29,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_19577,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK28,sK29,sK20,sK29,X0,X1,X2,X3)
| eqangle(sK28,sK29,sK20,sK29,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_19971,plain,
( ~ cyclic(sK29,sK20,sK28,X0)
| eqangle(sK28,sK29,sK28,sK20,X0,sK29,X0,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_19973,plain,
( ~ cyclic(sK29,sK20,sK28,sK20)
| eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19971]) ).
cnf(c_20097,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK20,sK29,sK28,sK29,X1,X0,X3,X2) ),
inference(resolution,[status(thm)],[c_19041,c_67]) ).
cnf(c_20265,plain,
( ~ cyclic(sK20,X0,sK29,sK28)
| cyclic(sK20,sK29,X0,sK28) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_20266,plain,
( ~ cyclic(sK20,sK20,sK29,sK28)
| cyclic(sK20,sK29,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_20265]) ).
cnf(c_20409,plain,
( ~ cong(X0,X1,sK28,sK20)
| cong(X0,X1,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_20410,plain,
( ~ cong(sK20,sK20,sK28,sK20)
| cong(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_20409]) ).
cnf(c_20441,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X4,sK29,X0,X1)
| para(X4,sK29,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_20506,plain,
( ~ cong(sK28,X0,X1,X0)
| ~ cong(sK28,X2,X1,X2)
| perp(sK28,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_20507,plain,
( ~ cong(sK28,sK20,sK20,sK20)
| perp(sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20506]) ).
cnf(c_20508,plain,
( ~ eqangle(sK28,X0,X1,X2,X3,X4,X5,X6)
| ~ perp(X3,X4,X5,X6)
| perp(sK28,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_20592,plain,
( ~ eqangle(sK29,sK28,sK29,sK20,X0,X1,X2,X3)
| eqangle(sK28,sK29,sK29,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_20593,plain,
( ~ eqangle(sK29,sK28,sK29,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK28,sK29,sK29,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20592]) ).
cnf(c_20621,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK29,sK20,sK28,sK29,X1,X0,X3,X2) ),
inference(resolution,[status(thm)],[c_20097,c_66]) ).
cnf(c_20849,plain,
( ~ cong(X0,X1,sK28,X2)
| cong(sK28,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_20850,plain,
( ~ cong(sK20,sK20,sK28,sK20)
| cong(sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20849]) ).
cnf(c_20870,plain,
( ~ eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK28,sK28,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_20871,plain,
( ~ eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_20870]) ).
cnf(c_21750,plain,
( ~ cyclic(X0,sK29,sK20,X1)
| ~ cyclic(X0,sK29,sK20,sK28)
| cyclic(sK29,sK20,sK28,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_21751,plain,
( ~ cyclic(sK20,sK29,sK20,sK20)
| ~ cyclic(sK20,sK29,sK20,sK28)
| cyclic(sK29,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_21750]) ).
cnf(c_21849,plain,
( ~ eqangle(sK28,sK29,sK28,X0,sK20,sK29,sK20,X0)
| eqangle(sK28,sK29,sK20,sK29,sK28,X0,sK20,X0) ),
inference(instantiation,[status(thm)],[c_19575]) ).
cnf(c_21851,plain,
( ~ eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20)
| eqangle(sK28,sK29,sK20,sK29,sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21849]) ).
cnf(c_22031,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK28,sK20,X0,X1)
| para(sK28,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_22032,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK28,sK20,sK20,sK20)
| para(sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22031]) ).
cnf(c_22307,plain,
( ~ cong(X0,sK28,X0,sK20)
| ~ coll(X0,sK28,sK20)
| midp(X0,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_22308,plain,
( ~ cong(sK20,sK28,sK20,sK20)
| ~ coll(sK20,sK28,sK20)
| midp(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_22307]) ).
cnf(c_22742,plain,
( ~ perp(X0,sK29,sK29,X1)
| ~ midp(sK20,X0,X1)
| cong(X0,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_23055,plain,
( ~ cyclic(sK29,sK20,X0,sK28)
| eqangle(X0,sK29,X0,sK20,sK28,sK29,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_23057,plain,
( ~ cyclic(sK29,sK20,sK20,sK28)
| eqangle(sK20,sK29,sK20,sK20,sK28,sK29,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_23055]) ).
cnf(c_23504,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK29,sK28,sK20)
| ~ eqangle(sK28,sK29,sK29,sK20,X3,X2,X1,X0) ),
inference(resolution,[status(thm)],[c_20621,c_67]) ).
cnf(c_23661,plain,
( ~ cyclic(X0,sK20,X1,sK29)
| ~ cyclic(X0,sK20,X1,sK28)
| cyclic(sK20,X1,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_23662,plain,
( ~ cyclic(sK20,sK20,sK20,sK29)
| ~ cyclic(sK20,sK20,sK20,sK28)
| cyclic(sK20,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_23661]) ).
cnf(c_23692,plain,
( ~ cyclic(sK20,sK29,X0,sK28)
| cyclic(sK29,sK20,X0,sK28) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_23693,plain,
( ~ cyclic(sK20,sK29,sK20,sK28)
| cyclic(sK29,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_23692]) ).
cnf(c_24106,plain,
( ~ cyclic(X0,X1,sK28,X2)
| cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_24107,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_24106]) ).
cnf(c_24265,plain,
( ~ eqangle(sK20,sK29,X0,X1,sK28,sK29,sK28,sK20)
| ~ para(sK28,sK29,X1,X0) ),
inference(resolution,[status(thm)],[c_23504,c_88]) ).
cnf(c_24266,plain,
( ~ eqangle(sK20,sK29,sK20,sK20,sK28,sK29,sK28,sK20)
| ~ para(sK28,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24265]) ).
cnf(c_24477,plain,
( ~ perp(X0,sK28,sK28,X1)
| ~ midp(sK20,X0,X1)
| cong(X0,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_24478,plain,
( ~ perp(sK20,sK28,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_24477]) ).
cnf(c_24625,plain,
( ~ cong(X0,X1,sK20,sK28)
| cong(sK20,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_24626,plain,
( ~ cong(sK20,sK20,sK20,sK28)
| cong(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24625]) ).
cnf(c_25028,plain,
( ~ para(sK28,X0,X1,X2)
| eqangle(sK28,X0,X3,X4,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_25029,plain,
( ~ para(sK28,sK20,sK20,sK20)
| eqangle(sK28,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25028]) ).
cnf(c_25031,plain,
( ~ cyclic(X0,X1,sK28,X2)
| eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_25033,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25031]) ).
cnf(c_25144,plain,
( ~ cyclic(X0,sK28,X1,X2)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_25145,plain,
( ~ cyclic(sK20,sK28,sK20,sK20)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_25144]) ).
cnf(c_25709,plain,
( ~ eqangle(sK28,X0,sK28,X1,X2,X3,X4,X5)
| eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_25710,plain,
( ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25709]) ).
cnf(c_25886,plain,
( ~ cong(sK28,X0,sK29,X0)
| ~ cong(sK28,X1,sK29,X1)
| perp(sK28,sK29,X0,X1) ),
inference(instantiation,[status(thm)],[c_20506]) ).
cnf(c_25887,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK28,sK29,X0,X1)
| para(sK28,sK29,X2,X3) ),
inference(instantiation,[status(thm)],[c_20441]) ).
cnf(c_25888,plain,
( ~ cong(sK28,sK20,sK29,sK20)
| perp(sK28,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25886]) ).
cnf(c_25889,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK28,sK29,sK20,sK20)
| para(sK28,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25887]) ).
cnf(c_26945,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK29,sK20,X2,X3,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_26946,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK29,sK20,sK20,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_26945]) ).
cnf(c_28448,plain,
( ~ eqangle(sK28,X0,sK20,X0,X1,X2,X3,X4)
| ~ eqangle(sK28,sK29,sK20,sK29,sK28,X0,sK20,X0)
| eqangle(sK28,sK29,sK20,sK29,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_19577]) ).
cnf(c_28453,plain,
( ~ eqangle(sK28,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK28,sK29,sK20,sK29,sK28,sK20,sK20,sK20)
| eqangle(sK28,sK29,sK20,sK29,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28448]) ).
cnf(c_40688,plain,
( ~ perp(sK28,sK29,sK29,X0)
| ~ midp(sK20,sK28,X0)
| cong(sK28,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_22742]) ).
cnf(c_40689,plain,
( ~ eqangle(sK28,sK29,sK29,X0,X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X4)
| perp(sK28,sK29,sK29,X0) ),
inference(instantiation,[status(thm)],[c_20508]) ).
cnf(c_40690,plain,
( ~ perp(sK28,sK29,sK29,sK20)
| ~ midp(sK20,sK28,sK20)
| cong(sK28,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_40688]) ).
cnf(c_40691,plain,
( ~ eqangle(sK28,sK29,sK29,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK28,sK29,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_40689]) ).
cnf(c_40692,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_40691,c_40690,c_28453,c_26946,c_25889,c_25888,c_25710,c_25145,c_25033,c_25029,c_24626,c_24478,c_24266,c_24107,c_23693,c_23662,c_23057,c_22308,c_22032,c_21851,c_21751,c_20871,c_20850,c_20593,c_20507,c_20410,c_20266,c_19973,c_19302,c_19085,c_19012,c_18918,c_14325,c_13488,c_13483,c_11598,c_5962,c_4741,c_4482,c_3942,c_3647,c_3642,c_3564,c_3559,c_2809,c_2713,c_2664,c_2652,c_2479,c_2432,c_2411,c_2412,c_239,c_190,c_186,c_184,c_181,c_172,c_164,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO561+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.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 20:57:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 31.96/5.20 % SZS status Started for theBenchmark.p
% 31.96/5.20 % SZS status Theorem for theBenchmark.p
% 31.96/5.20
% 31.96/5.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.96/5.20
% 31.96/5.20 ------ iProver source info
% 31.96/5.20
% 31.96/5.20 git: date: 2023-05-31 18:12:56 +0000
% 31.96/5.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.96/5.20 git: non_committed_changes: false
% 31.96/5.20 git: last_make_outside_of_git: false
% 31.96/5.20
% 31.96/5.20 ------ Parsing...
% 31.96/5.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.96/5.20
% 31.96/5.20 ------ Preprocessing...
% 31.96/5.20
% 31.96/5.20 ------ Preprocessing...
% 31.96/5.20
% 31.96/5.20 ------ Preprocessing...
% 31.96/5.20 ------ Proving...
% 31.96/5.20 ------ Problem Properties
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20 clauses 126
% 31.96/5.20 conjectures 14
% 31.96/5.20 EPR 89
% 31.96/5.20 Horn 116
% 31.96/5.20 unary 14
% 31.96/5.20 binary 37
% 31.96/5.20 lits 342
% 31.96/5.20 lits eq 4
% 31.96/5.20 fd_pure 0
% 31.96/5.20 fd_pseudo 0
% 31.96/5.20 fd_cond 0
% 31.96/5.20 fd_pseudo_cond 4
% 31.96/5.20 AC symbols 0
% 31.96/5.20
% 31.96/5.20 ------ Input Options Time Limit: Unbounded
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20 ------
% 31.96/5.20 Current options:
% 31.96/5.20 ------
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20 ------ Proving...
% 31.96/5.20
% 31.96/5.20
% 31.96/5.20 % SZS status Theorem for theBenchmark.p
% 31.96/5.20
% 31.96/5.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.96/5.21
% 31.96/5.21
%------------------------------------------------------------------------------