TSTP Solution File: GEO599+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Fri May 3 02:17:59 EDT 2024
% Result : Theorem 115.49s 16.22s
% Output : CNFRefutation 115.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f501)
% 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(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(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(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(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(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD48) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
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(f55,axiom,
! [X0,X1,X2,X3] :
( ( para(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X3) )
=> eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD54) ).
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(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD57) ).
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(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(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20] :
( ( circle(X5,X0,X12,X20)
& coll(X12,X1,X2)
& circle(X5,X0,X18,X19)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X0,X3,X3,X5,X0,X2,X2,X12)
& ( eqangle(X3,X0,X0,X5,X0,X12,X12,X2)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X12) )
& ( eqangle(X3,X0,X0,X5,X0,X12,X12,X2)
| eqangle(X0,X3,X3,X5,X0,X12,X12,X2) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X12)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X12) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X12)
| eqangle(X0,X3,X3,X5,X0,X12,X12,X2) )
& ( eqangle(X3,X0,X0,X5,X2,X0,X0,X12)
| eqangle(X0,X3,X3,X5,X0,X2,X2,X12) )
& eqangle(X3,X0,X0,X5,X2,X0,X0,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20] :
( ( circle(X5,X0,X12,X20)
& coll(X12,X1,X2)
& circle(X5,X0,X18,X19)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X0,X3,X3,X5,X0,X2,X2,X12)
& ( eqangle(X3,X0,X0,X5,X0,X12,X12,X2)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X12) )
& ( eqangle(X3,X0,X0,X5,X0,X12,X12,X2)
| eqangle(X0,X3,X3,X5,X0,X12,X12,X2) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X12)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X12) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X12)
| eqangle(X0,X3,X3,X5,X0,X12,X12,X2) )
& ( eqangle(X3,X0,X0,X5,X2,X0,X0,X12)
| eqangle(X0,X3,X3,X5,X0,X2,X2,X12) )
& eqangle(X3,X0,X0,X5,X2,X0,X0,X12) ) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
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(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(f136,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
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(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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(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(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f246,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f136]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f252]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(ennf_transformation,[],[f146]) ).
fof(f279,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,[],[f278]) ).
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(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f321,plain,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ sP0(X6,X0,X2,X5,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f322,plain,
! [X6,X2,X0,X5,X3] :
( ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ~ sP1(X6,X2,X0,X5,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f323,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| sP1(X6,X2,X0,X5,X3)
| sP0(X6,X0,X2,X5,X3)
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(definition_folding,[],[f320,f322,f321]) ).
fof(f345,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f304,f345]) ).
fof(f361,plain,
! [X6,X2,X0,X5,X3] :
( ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ~ sP1(X6,X2,X0,X5,X3) ),
inference(nnf_transformation,[],[f322]) ).
fof(f362,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0)
& ~ eqangle(X2,X4,X4,X3,X2,X0,X0,X1) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f361]) ).
fof(f363,plain,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ sP0(X6,X0,X2,X5,X3) ),
inference(nnf_transformation,[],[f321]) ).
fof(f364,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X4,X1,X1,X3,X2,X1,X1,X0)
& ~ eqangle(X1,X4,X4,X3,X1,X2,X2,X0) )
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f363]) ).
fof(f365,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| sP1(X6,X2,X0,X5,X3)
| sP0(X6,X0,X2,X5,X3)
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28) )
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24) )
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
& ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28) )
| sP1(sK28,sK24,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) )
& circle(sK27,sK22,sK28,sK31)
& coll(sK28,sK23,sK24)
& circle(sK27,sK22,sK29,sK30)
& coll(sK27,sK25,sK26)
& midp(sK26,sK23,sK22)
& circle(sK25,sK22,sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
( ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28) )
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24) )
| ( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
& ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28) )
| sP1(sK28,sK24,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) )
& circle(sK27,sK22,sK28,sK31)
& coll(sK28,sK23,sK24)
& circle(sK27,sK22,sK29,sK30)
& coll(sK27,sK25,sK26)
& midp(sK26,sK23,sK22)
& circle(sK25,sK22,sK23,sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f323,f365]) ).
fof(f367,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f368,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f375,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(f376,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f377,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f383,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(f384,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(f385,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(f386,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(f387,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(f388,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(f390,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f406,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(f407,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f409,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(f410,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(f411,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f415,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f417,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f421,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f422,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f423,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(f424,plain,
! [X2,X3,X0,X1] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f433,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f434,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f435,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f436,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f440,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,[],[f279]) ).
fof(f441,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(f466,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f346]) ).
fof(f480,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X2,X4,X4,X3,X2,X0,X0,X1)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f362]) ).
fof(f483,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X4,X1,X1,X3,X2,X1,X1,X0)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f364]) ).
fof(f484,plain,
circle(sK25,sK22,sK23,sK24),
inference(cnf_transformation,[],[f366]) ).
fof(f485,plain,
midp(sK26,sK23,sK22),
inference(cnf_transformation,[],[f366]) ).
fof(f488,plain,
coll(sK28,sK23,sK24),
inference(cnf_transformation,[],[f366]) ).
fof(f489,plain,
circle(sK27,sK22,sK28,sK31),
inference(cnf_transformation,[],[f366]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f383]) ).
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,[],[f384]) ).
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,[],[f385]) ).
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,[],[f386]) ).
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,[],[f387]) ).
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,[],[f388]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f407]) ).
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,[],[f409]) ).
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,[],[f410]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_103,plain,
( ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f422]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_106,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f430]) ).
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,[],[f431]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f436]) ).
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,[],[f440]) ).
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,[],[f441]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK13(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_163,plain,
( ~ eqangle(X0,X1,X1,X2,X0,X3,X3,X4)
| ~ sP1(X3,X4,X0,X2,X1) ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_164,plain,
( ~ eqangle(X0,X1,X1,X2,X3,X1,X1,X4)
| ~ sP0(X4,X1,X3,X2,X0) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_173,negated_conjecture,
( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
| ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| sP1(sK28,sK24,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25) ),
inference(cnf_transformation,[],[f501]) ).
cnf(c_174,negated_conjecture,
circle(sK27,sK22,sK28,sK31),
inference(cnf_transformation,[],[f489]) ).
cnf(c_175,negated_conjecture,
coll(sK28,sK23,sK24),
inference(cnf_transformation,[],[f488]) ).
cnf(c_178,negated_conjecture,
midp(sK26,sK23,sK22),
inference(cnf_transformation,[],[f485]) ).
cnf(c_179,negated_conjecture,
circle(sK25,sK22,sK23,sK24),
inference(cnf_transformation,[],[f484]) ).
cnf(c_182,plain,
( ~ para(sK22,sK22,sK22,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_185,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_189,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_196,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_197,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| circle(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_212,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_245,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_304,plain,
( ~ coll(sK28,sK23,X0)
| ~ coll(sK28,sK23,sK24)
| coll(X0,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_305,plain,
( ~ coll(sK28,sK23,sK22)
| ~ coll(sK28,sK23,sK24)
| coll(sK22,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_304]) ).
cnf(c_308,plain,
( ~ midp(X0,sK23,X1)
| ~ midp(sK26,sK23,sK22)
| para(X0,sK26,X1,sK22) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_316,plain,
( ~ circle(sK27,sK22,sK28,sK31)
| perp(sK13(sK22,sK28,sK31,sK27),sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_318,plain,
( ~ circle(sK25,sK22,sK23,sK24)
| perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_437,plain,
( ~ perp(sK13(sK22,sK28,sK31,sK27),sK22,sK22,sK27)
| perp(sK13(sK22,sK28,sK31,sK27),sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_442,plain,
( ~ perp(X0,X1,sK13(sK22,sK28,sK31,sK27),sK22)
| ~ perp(sK13(sK22,sK28,sK31,sK27),sK22,sK22,sK27)
| para(X0,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_516,plain,
( ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25)
| perp(sK13(sK22,sK23,sK24,sK25),sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_521,plain,
( ~ perp(X0,X1,sK13(sK22,sK23,sK24,sK25),sK22)
| ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25)
| para(X0,X1,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_557,plain,
( ~ coll(X0,sK24,sK28)
| coll(X0,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_558,plain,
( ~ coll(sK22,sK24,sK28)
| coll(sK22,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_557]) ).
cnf(c_561,plain,
( ~ coll(X0,sK24,X1)
| ~ coll(X0,sK24,sK28)
| coll(X1,sK28,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_562,plain,
( ~ coll(sK22,sK24,sK22)
| ~ coll(sK22,sK24,sK28)
| coll(sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_573,plain,
( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
| ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173,c_164,c_163]) ).
cnf(c_578,plain,
( ~ midp(sK26,sK23,sK22)
| para(sK26,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_308]) ).
cnf(c_671,plain,
coll(sK28,sK24,sK23),
inference(resolution,[status(thm)],[c_49,c_175]) ).
cnf(c_700,plain,
coll(sK24,sK28,sK23),
inference(resolution,[status(thm)],[c_50,c_671]) ).
cnf(c_717,plain,
midp(sK26,sK22,sK23),
inference(resolution,[status(thm)],[c_59,c_178]) ).
cnf(c_722,plain,
coll(sK26,sK23,sK22),
inference(resolution,[status(thm)],[c_118,c_178]) ).
cnf(c_738,plain,
( ~ para(sK26,sK26,sK22,sK22)
| para(sK22,sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_746,plain,
( ~ para(X0,X1,sK26,sK26)
| ~ para(sK26,sK26,sK22,sK22)
| para(X0,X1,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_747,plain,
( ~ para(sK22,sK22,sK26,sK26)
| ~ para(sK26,sK26,sK22,sK22)
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_769,plain,
coll(sK26,sK22,sK23),
inference(resolution,[status(thm)],[c_717,c_118]) ).
cnf(c_849,plain,
coll(sK22,sK26,sK23),
inference(resolution,[status(thm)],[c_769,c_50]) ).
cnf(c_959,plain,
( ~ coll(sK26,sK23,X0)
| coll(X0,sK22,sK26) ),
inference(resolution,[status(thm)],[c_51,c_722]) ).
cnf(c_960,plain,
( ~ coll(sK24,sK28,X0)
| coll(X0,sK23,sK24) ),
inference(resolution,[status(thm)],[c_51,c_700]) ).
cnf(c_961,plain,
( ~ coll(sK24,sK28,sK22)
| coll(sK22,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_975,plain,
( ~ coll(sK22,sK26,X0)
| coll(X0,sK23,sK22) ),
inference(resolution,[status(thm)],[c_51,c_849]) ).
cnf(c_976,plain,
( ~ coll(sK22,sK26,sK22)
| coll(sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_1219,plain,
( ~ perp(sK13(sK22,sK28,sK31,sK27),sK22,sK27,sK22)
| perp(sK27,sK22,sK13(sK22,sK28,sK31,sK27),sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1307,plain,
coll(sK22,sK22,sK26),
inference(resolution,[status(thm)],[c_959,c_722]) ).
cnf(c_1310,plain,
coll(sK22,sK26,sK22),
inference(resolution,[status(thm)],[c_1307,c_49]) ).
cnf(c_1336,plain,
( ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK25,sK22)
| perp(sK25,sK22,sK13(sK22,sK23,sK24,sK25),sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1491,plain,
( ~ coll(sK28,X0,sK23)
| coll(sK28,sK23,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1492,plain,
( ~ coll(sK28,sK22,sK23)
| coll(sK28,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_1491]) ).
cnf(c_1722,plain,
coll(sK28,sK24,sK23),
inference(superposition,[status(thm)],[c_175,c_49]) ).
cnf(c_1818,plain,
( ~ coll(sK28,sK23,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_175,c_51]) ).
cnf(c_1820,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK23,X0,sK28) ),
inference(superposition,[status(thm)],[c_1722,c_51]) ).
cnf(c_1863,plain,
( ~ coll(sK28,sK23,sK22)
| coll(sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_1818]) ).
cnf(c_2132,plain,
( ~ para(sK27,X0,sK27,X1)
| coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_2133,plain,
( ~ para(sK27,sK22,sK27,sK22)
| coll(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2132]) ).
cnf(c_2171,plain,
( ~ midp(sK26,X0,X1)
| para(X0,sK23,X1,sK22) ),
inference(resolution,[status(thm)],[c_112,c_178]) ).
cnf(c_2196,plain,
( ~ para(sK25,X0,sK25,X1)
| coll(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_2199,plain,
( ~ para(sK25,sK22,sK25,sK22)
| coll(sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2196]) ).
cnf(c_2258,plain,
coll(sK23,sK23,sK28),
inference(superposition,[status(thm)],[c_1722,c_1820]) ).
cnf(c_2288,plain,
( ~ coll(sK23,sK23,X0)
| coll(sK28,X0,sK23) ),
inference(superposition,[status(thm)],[c_2258,c_51]) ).
cnf(c_2291,plain,
( ~ coll(sK23,sK23,sK22)
| coll(sK28,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_2288]) ).
cnf(c_2620,plain,
( ~ midp(sK26,X0,X1)
| para(X0,sK23,sK22,X1) ),
inference(resolution,[status(thm)],[c_52,c_2171]) ).
cnf(c_2703,plain,
( ~ cong(X0,sK24,X0,X1)
| ~ cong(X0,sK24,X0,sK28)
| circle(X0,sK24,X1,sK28) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2704,plain,
( ~ cong(sK22,sK24,sK22,sK22)
| ~ cong(sK22,sK24,sK22,sK28)
| circle(sK22,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_2703]) ).
cnf(c_2899,plain,
( ~ midp(sK26,sK22,X0)
| coll(sK22,sK23,X0) ),
inference(resolution,[status(thm)],[c_2620,c_115]) ).
cnf(c_2976,plain,
coll(sK22,sK23,sK23),
inference(resolution,[status(thm)],[c_2899,c_717]) ).
cnf(c_3023,plain,
coll(sK23,sK22,sK23),
inference(resolution,[status(thm)],[c_2976,c_50]) ).
cnf(c_3028,plain,
coll(sK23,sK23,sK22),
inference(resolution,[status(thm)],[c_3023,c_49]) ).
cnf(c_3473,plain,
( ~ eqangle(sK25,sK22,sK24,sK22,sK22,sK27,sK22,sK28)
| eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_4100,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK24)
| coll(X2,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4152,plain,
( ~ coll(X0,sK24,sK28)
| coll(sK28,sK28,X0) ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_4153,plain,
( ~ coll(sK22,sK24,sK28)
| coll(sK28,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_4152]) ).
cnf(c_4687,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK27,sK22,sK28)
| ~ eqangle(sK25,sK22,sK24,sK22,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK24,sK22,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_4729,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK25,sK22,sK22,sK27,X0,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4731,plain,
( ~ para(sK25,sK22,sK22,sK22)
| eqangle(sK25,sK22,sK22,sK27,sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_4729]) ).
cnf(c_5912,plain,
( ~ para(X0,X1,X2,sK24)
| ~ midp(X0,sK28,X2)
| ~ coll(X1,sK28,sK24)
| midp(X1,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_5913,plain,
( ~ para(sK22,sK22,sK22,sK24)
| ~ coll(sK22,sK28,sK24)
| ~ midp(sK22,sK28,sK22)
| midp(sK22,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_5912]) ).
cnf(c_5968,plain,
( ~ midp(X0,sK28,sK24)
| midp(X0,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_5969,plain,
( ~ midp(sK22,sK28,sK24)
| midp(sK22,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_5968]) ).
cnf(c_6824,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(resolution,[status(thm)],[c_67,c_88]) ).
cnf(c_10023,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK25,sK22,X0,X1)
| para(sK25,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_10027,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK25,sK22,sK22,sK22)
| para(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10023]) ).
cnf(c_10604,plain,
( ~ eqangle(sK22,sK28,sK24,sK22,X0,X1,X2,X3)
| eqangle(sK24,sK22,sK22,sK28,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_10605,plain,
( ~ eqangle(sK22,sK28,sK24,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK24,sK22,sK22,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10604]) ).
cnf(c_10632,plain,
( ~ eqangle(sK25,sK22,sK24,sK22,sK24,sK22,sK24,X0)
| ~ eqangle(sK24,sK22,sK24,X0,sK22,sK27,sK22,sK28)
| eqangle(sK25,sK22,sK24,sK22,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_4687]) ).
cnf(c_10633,plain,
( ~ para(sK25,X0,sK24,sK22)
| ~ cyclic(sK25,X0,sK24,sK22)
| eqangle(sK25,sK22,sK24,sK22,sK24,sK22,sK24,X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_10634,plain,
( ~ eqangle(sK25,sK22,sK24,sK22,sK24,sK22,sK24,sK22)
| ~ eqangle(sK24,sK22,sK24,sK22,sK22,sK27,sK22,sK28)
| eqangle(sK25,sK22,sK24,sK22,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_10632]) ).
cnf(c_10635,plain,
( ~ para(sK25,sK22,sK24,sK22)
| ~ cyclic(sK25,sK22,sK24,sK22)
| eqangle(sK25,sK22,sK24,sK22,sK24,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_10633]) ).
cnf(c_10846,plain,
( ~ perp(sK13(sK22,sK28,sK31,sK27),sK22,sK22,sK27)
| ~ perp(sK27,sK22,sK13(sK22,sK28,sK31,sK27),sK22)
| para(sK27,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_442]) ).
cnf(c_11199,plain,
( ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25)
| ~ perp(sK25,sK22,sK13(sK22,sK23,sK24,sK25),sK22)
| para(sK25,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_521]) ).
cnf(c_11868,plain,
( ~ coll(sK24,X0,sK28)
| coll(sK24,sK28,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11869,plain,
( ~ coll(sK24,sK22,sK28)
| coll(sK24,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_11868]) ).
cnf(c_11914,plain,
( ~ perp(sK27,sK22,sK22,X0)
| eqangle(sK22,X0,sK22,sK28,sK31,sK22,sK31,sK28) ),
inference(resolution,[status(thm)],[c_97,c_174]) ).
cnf(c_12340,plain,
( ~ eqangle(X0,sK22,X0,sK25,X1,sK22,X1,sK25)
| ~ cyclic(sK22,sK25,X0,X1)
| ~ cyclic(sK22,sK25,X0,sK22)
| ~ cyclic(sK22,sK25,X0,sK25)
| cong(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_12341,plain,
( ~ eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25)
| ~ cyclic(sK22,sK25,sK22,sK22)
| ~ cyclic(sK22,sK25,sK22,sK25)
| cong(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_12340]) ).
cnf(c_13558,plain,
( ~ para(X0,sK27,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK27,X3,X2)
| midp(sK27,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_13559,plain,
( ~ para(sK22,sK27,sK22,sK22)
| ~ coll(sK27,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_13558]) ).
cnf(c_13884,plain,
( ~ coll(sK27,X0,X1)
| coll(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_13885,plain,
( ~ coll(sK27,sK22,sK22)
| coll(sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_13884]) ).
cnf(c_14534,plain,
( ~ coll(sK25,X0,X1)
| coll(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_14535,plain,
( ~ coll(sK25,sK22,sK22)
| coll(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_14534]) ).
cnf(c_15124,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_15125,plain,
( ~ para(sK22,sK22,sK22,sK24)
| ~ para(sK22,sK24,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_15124]) ).
cnf(c_15199,plain,
( ~ coll(X0,sK24,X1)
| coll(X0,X1,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_15200,plain,
( ~ coll(sK22,sK24,sK22)
| coll(sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_15199]) ).
cnf(c_16753,plain,
( ~ para(sK27,X0,X1,sK27)
| para(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_16754,plain,
( ~ para(sK27,sK22,sK22,sK27)
| para(sK27,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_16753]) ).
cnf(c_16964,plain,
( ~ para(sK25,X0,X1,sK25)
| para(sK25,X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_16965,plain,
( ~ para(sK25,sK22,sK22,sK25)
| para(sK25,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_16964]) ).
cnf(c_18315,plain,
( ~ para(X0,X1,X0,sK24)
| para(X0,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_18316,plain,
( ~ para(sK22,sK22,sK22,sK24)
| para(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_18315]) ).
cnf(c_24581,plain,
( ~ para(sK25,X0,X1,X2)
| ~ perp(X1,X2,sK22,sK27)
| perp(sK25,X0,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_24582,plain,
( ~ para(sK25,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK27)
| perp(sK25,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_24581]) ).
cnf(c_24955,plain,
( ~ para(sK22,X0,sK22,sK28)
| para(sK22,sK28,sK22,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_24956,plain,
( ~ para(sK22,sK22,sK22,sK28)
| para(sK22,sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_24955]) ).
cnf(c_25001,plain,
( ~ para(X0,X1,X2,sK28)
| ~ para(X0,sK28,X2,X1)
| ~ midp(sK22,X0,X2)
| midp(sK22,sK28,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_25002,plain,
( ~ para(sK22,sK22,sK22,sK28)
| ~ para(sK22,sK28,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_25001]) ).
cnf(c_25014,plain,
( ~ coll(sK22,sK28,X0)
| coll(sK22,X0,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_25015,plain,
( ~ coll(sK22,sK28,sK22)
| coll(sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_25014]) ).
cnf(c_25077,plain,
( ~ coll(sK22,sK28,X0)
| coll(sK28,sK22,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_25078,plain,
( ~ coll(sK22,sK28,sK22)
| coll(sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_25077]) ).
cnf(c_25185,plain,
( ~ eqangle(sK24,sK22,sK24,X0,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,sK22,sK27,sK22,sK28)
| eqangle(sK24,sK22,sK24,X0,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_25186,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK27,sK22,sK28)
| ~ eqangle(sK24,sK22,sK24,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK24,sK22,sK24,sK22,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_25185]) ).
cnf(c_32363,plain,
( ~ cyclic(X0,sK25,sK24,sK22)
| cyclic(sK25,X0,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_32364,plain,
( ~ cyclic(sK22,sK25,sK24,sK22)
| cyclic(sK25,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_32363]) ).
cnf(c_32403,plain,
( ~ perp(sK28,X0,X1,sK22)
| ~ midp(X0,X1,sK22)
| cong(sK28,X1,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_32404,plain,
( ~ perp(sK28,sK22,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK28,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_32403]) ).
cnf(c_33899,plain,
( ~ coll(X0,sK23,X1)
| ~ coll(X0,sK23,sK24)
| coll(X1,sK24,X0) ),
inference(instantiation,[status(thm)],[c_4100]) ).
cnf(c_33900,plain,
( ~ coll(sK22,sK23,sK22)
| ~ coll(sK22,sK23,sK24)
| coll(sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_33899]) ).
cnf(c_37088,plain,
( ~ perp(sK22,sK27,X0,X1)
| perp(X0,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_37089,plain,
( ~ perp(sK22,sK27,sK22,sK22)
| perp(sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_37088]) ).
cnf(c_37482,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK22,sK25)
| para(X0,X1,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_37486,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK25)
| para(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_37482]) ).
cnf(c_37524,plain,
( ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_37525,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK25,sK22,sK25)
| perp(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_37524]) ).
cnf(c_40297,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK22,sK27,X0,X1)
| para(sK22,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_40301,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK27,sK22,sK22)
| para(sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_40297]) ).
cnf(c_43765,plain,
( ~ coll(sK22,sK25,sK22)
| coll(sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_44944,plain,
( ~ midp(X0,sK24,sK28)
| cong(X0,sK24,X0,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_44945,plain,
( ~ midp(sK22,sK24,sK28)
| cong(sK22,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_44944]) ).
cnf(c_47094,plain,
( ~ perp(sK25,X0,X1,sK27)
| perp(sK25,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_47095,plain,
( ~ perp(sK25,sK22,sK22,sK27)
| perp(sK25,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_47094]) ).
cnf(c_52849,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK25,sK22,X0,X1)
| para(sK25,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_52890,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,X0,X1,X2,X3)
| eqangle(sK22,sK27,sK25,sK22,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_52893,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK22,sK27,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK27,sK25,sK22,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_52911,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK25,sK22,sK24,sK22,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK24,sK22,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_53693,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK25,sK22)
| para(X0,X1,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_53765,plain,
( ~ para(X0,X1,sK24,sK22)
| para(sK24,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_53767,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(sK24,sK22,X0,X1)
| para(sK24,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_54122,plain,
( ~ eqangle(sK28,sK22,sK24,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK28,sK24,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_54130,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK22,sK28,sK24,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK28,sK24,sK22,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_54145,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK22,sK27,sK22,sK28,X0,X1,X2,X3)
| eqangle(sK22,sK27,sK22,sK28,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_54154,plain,
( ~ circle(X0,sK22,sK28,X1)
| ~ perp(X0,sK22,sK22,sK27)
| eqangle(sK22,sK27,sK22,sK28,X1,sK22,X1,sK28) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_54300,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK22,sK25,sK22,sK27)
| eqangle(X0,X1,X2,X3,sK22,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_54302,plain,
( ~ para(X0,X1,sK22,sK25)
| eqangle(X0,X1,sK22,sK27,sK22,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_54304,plain,
( ~ para(sK22,sK22,sK22,sK25)
| eqangle(sK22,sK22,sK22,sK27,sK22,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_54302]) ).
cnf(c_54365,plain,
( ~ para(X0,X1,sK22,sK27)
| eqangle(X0,X1,sK25,sK22,sK22,sK27,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_54496,plain,
( ~ para(X0,X1,sK25,sK22)
| eqangle(X0,X1,sK24,sK22,sK25,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_54633,plain,
( ~ cyclic(sK22,X0,sK25,X1)
| eqangle(sK25,sK22,sK25,X0,X1,sK22,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_54634,plain,
( ~ cyclic(sK22,sK22,sK25,sK22)
| eqangle(sK25,sK22,sK25,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_54633]) ).
cnf(c_55737,plain,
( ~ para(X0,sK22,X1,sK28)
| ~ para(X0,sK28,X1,sK22)
| ~ midp(X2,X0,X1)
| midp(X2,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_55738,plain,
( ~ para(sK22,sK22,sK22,sK28)
| ~ para(sK22,sK28,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_55737]) ).
cnf(c_56174,plain,
( ~ cyclic(X0,X1,sK25,sK22)
| ~ cyclic(X0,X1,sK25,sK24)
| cyclic(X1,sK25,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_56175,plain,
( ~ cyclic(sK22,sK22,sK25,sK22)
| ~ cyclic(sK22,sK22,sK25,sK24)
| cyclic(sK22,sK25,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_56174]) ).
cnf(c_56297,plain,
( ~ cong(sK28,X0,sK28,X1)
| ~ coll(sK28,X0,X1)
| midp(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_56298,plain,
( ~ cong(sK28,sK22,sK28,sK22)
| ~ coll(sK28,sK22,sK22)
| midp(sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_56297]) ).
cnf(c_56425,plain,
( ~ cyclic(X0,sK22,X1,sK25)
| cyclic(sK22,X1,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_56426,plain,
( ~ cyclic(sK22,sK22,sK22,sK25)
| cyclic(sK22,sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_56425]) ).
cnf(c_56458,plain,
( ~ cyclic(X0,sK22,X1,sK25)
| ~ cyclic(X0,sK22,X1,sK24)
| cyclic(sK22,X1,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_56459,plain,
( ~ cyclic(sK22,sK22,sK22,sK25)
| ~ cyclic(sK22,sK22,sK22,sK24)
| cyclic(sK22,sK22,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_56458]) ).
cnf(c_56926,plain,
( ~ para(sK24,sK22,X0,X1)
| para(X0,X1,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_56927,plain,
( ~ para(sK24,sK22,sK22,sK22)
| para(sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_56926]) ).
cnf(c_57084,plain,
( ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_57085,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK25,sK22,sK25)
| perp(sK22,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_57084]) ).
cnf(c_57517,plain,
( ~ perp(sK25,X0,sK22,X1)
| ~ midp(X0,sK22,X1)
| cong(sK25,sK22,sK25,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_57518,plain,
( ~ perp(sK25,sK22,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK25,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_57517]) ).
cnf(c_57658,plain,
( ~ perp(sK27,sK22,sK22,sK27)
| ~ circle(sK27,sK22,sK28,sK31)
| eqangle(sK22,sK27,sK22,sK28,sK31,sK22,sK31,sK28) ),
inference(instantiation,[status(thm)],[c_54154]) ).
cnf(c_58344,plain,
( ~ circle(X0,sK22,X1,sK22)
| ~ perp(X0,sK22,sK22,sK27)
| eqangle(sK22,sK27,sK22,X1,sK22,sK22,sK22,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_58345,plain,
( ~ perp(sK22,sK22,sK22,sK27)
| ~ circle(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK27,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_58344]) ).
cnf(c_58362,plain,
( ~ cong(sK22,X0,X1,X0)
| ~ cyclic(sK22,X1,sK25,X0)
| ~ cong(sK22,sK25,X1,sK25)
| perp(sK25,sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_58363,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK25,sK22,sK25)
| ~ cyclic(sK22,sK22,sK25,sK22)
| perp(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_58362]) ).
cnf(c_58380,plain,
( ~ cyclic(sK22,sK25,X0,X1)
| cyclic(sK22,X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_58381,plain,
( ~ cyclic(sK22,sK25,sK22,sK22)
| cyclic(sK22,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_58380]) ).
cnf(c_58431,plain,
( ~ cyclic(sK22,sK27,X0,X1)
| cyclic(sK22,sK27,X1,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_58435,plain,
( ~ eqangle(X0,sK22,X0,sK27,X1,sK22,X1,sK27)
| ~ coll(X0,X1,sK27)
| cyclic(sK22,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_58436,plain,
( ~ eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27)
| ~ coll(sK22,sK22,sK27)
| cyclic(sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_58435]) ).
cnf(c_59207,plain,
( ~ eqangle(sK27,sK22,sK22,sK27,X0,X1,X2,X3)
| ~ perp(X0,X1,X2,X3)
| perp(sK27,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_59209,plain,
( ~ eqangle(sK27,sK22,sK22,sK27,sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| perp(sK27,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_59207]) ).
cnf(c_59222,plain,
( ~ cong(sK27,sK22,sK22,sK22)
| ~ cong(sK27,sK24,sK22,sK24)
| perp(sK27,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_59372,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,sK28)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,sK28)
| cong(X1,X2,X4,sK28) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_59445,plain,
( ~ eqangle(X0,X1,X0,sK22,sK28,X1,sK28,sK22)
| ~ coll(X0,sK28,sK22)
| cyclic(X1,sK22,X0,sK28) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_59466,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cyclic(X0,X2,sK28,X1)
| ~ cong(X0,sK28,X2,sK28)
| perp(sK28,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_59467,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK28,sK22,sK28)
| ~ cyclic(sK22,sK22,sK28,sK22)
| perp(sK28,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_59466]) ).
cnf(c_59736,plain,
( ~ para(sK25,X0,X0,sK24)
| para(sK25,X0,sK24,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_59737,plain,
( ~ para(sK25,sK22,sK22,sK24)
| para(sK25,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_59736]) ).
cnf(c_60040,plain,
( ~ cong(sK22,X0,sK27,X0)
| ~ cong(sK22,X1,sK27,X1)
| perp(sK22,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_60041,plain,
( ~ cong(sK22,sK22,sK27,sK22)
| perp(sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60040]) ).
cnf(c_60046,plain,
( ~ perp(X0,X1,sK22,sK27)
| perp(sK22,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_60492,plain,
( ~ eqangle(sK22,sK27,sK22,sK28,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_60493,plain,
( ~ eqangle(sK22,sK27,sK22,sK28,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK27,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_60492]) ).
cnf(c_60782,plain,
( ~ cong(sK25,sK22,sK25,X0)
| ~ cong(sK25,sK22,sK25,X1)
| circle(sK25,sK22,X1,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_60783,plain,
( ~ cong(sK25,sK22,sK25,sK22)
| circle(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60782]) ).
cnf(c_62214,plain,
( ~ cyclic(sK22,X0,sK24,X1)
| eqangle(sK24,sK22,sK24,X0,X1,sK22,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_62216,plain,
( ~ cyclic(sK22,sK22,sK24,sK22)
| eqangle(sK24,sK22,sK24,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_62214]) ).
cnf(c_62527,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK25,X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_62529,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_62527]) ).
cnf(c_63490,plain,
( ~ cyclic(X0,X1,sK27,X2)
| cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_63491,plain,
( ~ cyclic(sK22,sK22,sK27,sK22)
| cyclic(sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_63490]) ).
cnf(c_63594,plain,
( ~ circle(X0,sK24,X1,sK28)
| ~ midp(X2,X1,sK28)
| eqangle(sK24,X1,sK24,sK28,X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_63596,plain,
( ~ circle(sK22,sK24,sK22,sK28)
| ~ midp(sK22,sK22,sK28)
| eqangle(sK24,sK22,sK24,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_63594]) ).
cnf(c_63980,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,X4,sK22,sK28)
| ~ perp(sK27,sK22,sK22,X4)
| eqangle(X0,X1,X2,X3,sK31,sK22,sK31,sK28) ),
inference(resolution,[status(thm)],[c_11914,c_70]) ).
cnf(c_65047,plain,
( ~ para(sK27,sK22,sK22,sK27)
| eqangle(sK27,sK22,sK25,sK22,sK22,sK27,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_54365]) ).
cnf(c_65082,plain,
( ~ eqangle(X0,sK27,X0,sK24,X1,sK22,X1,sK24)
| ~ cyclic(sK27,sK24,X0,X1)
| ~ cyclic(sK27,sK24,X0,sK22)
| ~ cyclic(sK27,sK24,X0,sK24)
| cong(sK27,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_65083,plain,
( ~ eqangle(sK22,sK27,sK22,sK24,sK22,sK22,sK22,sK24)
| ~ cyclic(sK27,sK24,sK22,sK22)
| ~ cyclic(sK27,sK24,sK22,sK24)
| cong(sK27,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_65082]) ).
cnf(c_65835,plain,
( ~ cyclic(X0,sK22,X1,sK27)
| ~ cyclic(X0,sK22,X1,sK24)
| cyclic(sK22,X1,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_65836,plain,
( ~ cyclic(sK22,sK22,sK22,sK27)
| ~ cyclic(sK22,sK22,sK22,sK24)
| cyclic(sK22,sK22,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_65835]) ).
cnf(c_65891,plain,
( ~ eqangle(sK27,sK22,X0,X1,sK22,sK27,X2,X3)
| eqangle(sK27,sK22,sK22,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_65893,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK27,sK22,sK22,sK27,X0,X1,X2,X3)
| eqangle(sK27,sK22,sK22,sK27,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_65993,plain,
( ~ para(X0,X1,X2,sK24)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK24)
| midp(X1,X3,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_65994,plain,
( ~ para(sK22,sK22,sK22,sK24)
| ~ coll(sK22,sK22,sK24)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_65993]) ).
cnf(c_66177,plain,
( ~ cyclic(X0,sK22,X1,sK28)
| cyclic(X0,X1,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_66184,plain,
( ~ cyclic(X0,sK28,sK22,X1)
| cyclic(X0,sK22,sK28,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_66185,plain,
( ~ cyclic(sK22,sK28,sK22,sK22)
| cyclic(sK22,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_66184]) ).
cnf(c_66663,plain,
( ~ eqangle(sK28,X0,sK28,sK22,sK28,X0,sK28,sK22)
| ~ coll(sK28,sK28,sK22)
| cyclic(X0,sK22,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_66664,plain,
( ~ para(sK28,X0,sK28,X0)
| eqangle(sK28,X0,sK28,sK22,sK28,X0,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_66665,plain,
( ~ eqangle(sK28,sK22,sK28,sK22,sK28,sK22,sK28,sK22)
| ~ coll(sK28,sK28,sK22)
| cyclic(sK22,sK22,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_66663]) ).
cnf(c_66666,plain,
( ~ para(sK28,sK22,sK28,sK22)
| eqangle(sK28,sK22,sK28,sK22,sK28,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_66664]) ).
cnf(c_67230,plain,
( ~ para(X0,X1,sK22,sK28)
| ~ perp(sK27,sK22,sK22,X2)
| eqangle(sK22,X2,X0,X1,sK31,sK22,sK31,sK28) ),
inference(resolution,[status(thm)],[c_63980,c_6824]) ).
cnf(c_67231,plain,
( ~ para(sK22,sK22,sK22,sK28)
| ~ perp(sK27,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK31,sK22,sK31,sK28) ),
inference(instantiation,[status(thm)],[c_67230]) ).
cnf(c_67825,plain,
( ~ eqangle(X0,X1,X0,sK28,sK22,X1,sK22,sK28)
| ~ coll(X0,sK22,sK28)
| cyclic(X1,sK28,X0,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_67826,plain,
( ~ eqangle(sK22,sK22,sK22,sK28,sK22,sK22,sK22,sK28)
| ~ coll(sK22,sK22,sK28)
| cyclic(sK22,sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_67825]) ).
cnf(c_69293,plain,
( ~ circle(sK25,X0,X1,X2)
| ~ midp(sK27,X1,X2)
| eqangle(X0,X1,X0,X2,sK25,X1,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_69295,plain,
( ~ circle(sK25,sK22,sK22,sK22)
| ~ midp(sK27,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK25,sK22,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_69293]) ).
cnf(c_70414,plain,
( ~ cyclic(sK22,X0,sK25,sK25)
| cyclic(sK22,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_70415,plain,
( ~ cyclic(sK22,sK22,sK25,sK25)
| cyclic(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_70414]) ).
cnf(c_70762,plain,
( ~ cyclic(X0,sK22,sK25,X1)
| cyclic(X0,sK22,X1,sK25) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_70763,plain,
( ~ cyclic(sK22,sK22,sK25,sK22)
| cyclic(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_70762]) ).
cnf(c_71926,plain,
( ~ eqangle(X0,X1,X0,sK22,sK24,X1,sK24,sK22)
| ~ coll(X0,sK24,sK22)
| cyclic(X1,sK22,X0,sK24) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_71927,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK24,sK22,sK24,sK22)
| ~ coll(sK22,sK24,sK22)
| cyclic(sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_71926]) ).
cnf(c_71972,plain,
( ~ perp(sK22,sK27,sK27,X0)
| ~ midp(sK22,sK22,X0)
| cong(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_71973,plain,
( ~ perp(sK22,sK27,sK27,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_71972]) ).
cnf(c_71994,plain,
( ~ cyclic(sK27,X0,sK24,sK24)
| cyclic(sK27,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_71995,plain,
( ~ cyclic(sK27,sK22,sK24,sK24)
| cyclic(sK27,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_71994]) ).
cnf(c_72146,plain,
( ~ eqangle(sK27,sK22,sK25,sK22,sK22,sK27,sK25,sK22)
| eqangle(sK27,sK22,sK22,sK27,sK25,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_65891]) ).
cnf(c_74001,plain,
( ~ para(X0,X1,sK24,sK22)
| para(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_74002,plain,
( ~ para(sK22,sK22,sK24,sK22)
| para(sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_74001]) ).
cnf(c_74065,plain,
( ~ perp(X0,X1,X2,sK28)
| ~ perp(sK22,X3,X0,X1)
| para(sK22,X3,X2,sK28) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_74069,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK28)
| para(sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_74065]) ).
cnf(c_74152,plain,
( ~ eqangle(sK28,X0,sK28,X0,X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4)
| para(sK28,X0,sK28,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_74153,plain,
( ~ eqangle(sK28,sK22,sK28,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22)
| para(sK28,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_74152]) ).
cnf(c_75726,plain,
( ~ cyclic(X0,sK22,sK28,X1)
| eqangle(sK28,X0,sK28,sK22,X1,X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_75727,plain,
( ~ cyclic(sK22,sK22,sK28,sK22)
| eqangle(sK28,sK22,sK28,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_75726]) ).
cnf(c_76001,plain,
( ~ para(sK22,X0,sK22,X0)
| eqangle(sK22,X0,sK22,sK28,sK22,X0,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_76002,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK28,sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_76001]) ).
cnf(c_77210,plain,
( ~ eqangle(sK25,sK22,sK25,sK22,X0,X1,X2,X3)
| ~ eqangle(sK27,sK22,sK22,sK27,sK25,sK22,sK25,sK22)
| eqangle(sK27,sK22,sK22,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65893]) ).
cnf(c_77212,plain,
( ~ eqangle(sK25,sK22,sK25,sK22,sK22,sK22,sK22,sK22)
| ~ eqangle(sK27,sK22,sK22,sK27,sK25,sK22,sK25,sK22)
| eqangle(sK27,sK22,sK22,sK27,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_77210]) ).
cnf(c_77323,plain,
( ~ cyclic(X0,sK27,sK24,X1)
| ~ cyclic(X0,sK27,sK24,sK22)
| cyclic(sK27,sK24,sK22,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_77324,plain,
( ~ cyclic(sK22,sK27,sK24,sK22)
| cyclic(sK27,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_77323]) ).
cnf(c_77342,plain,
( ~ cyclic(X0,sK22,sK27,sK24)
| cyclic(X0,sK27,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_77343,plain,
( ~ cyclic(sK22,sK22,sK27,sK24)
| cyclic(sK22,sK27,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_77342]) ).
cnf(c_77982,plain,
( ~ cyclic(X0,sK27,X1,sK24)
| cyclic(sK27,X1,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_77983,plain,
( ~ cyclic(sK22,sK27,sK22,sK24)
| cyclic(sK27,sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_77982]) ).
cnf(c_78156,plain,
( ~ eqangle(X0,sK22,X0,sK25,X1,sK22,X1,sK25)
| ~ coll(X0,X1,sK25)
| cyclic(sK22,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_78157,plain,
( ~ eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25)
| ~ coll(sK22,sK22,sK25)
| cyclic(sK22,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_78156]) ).
cnf(c_78823,plain,
( ~ midp(sK22,sK24,X0)
| cong(sK22,sK24,sK22,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_78824,plain,
( ~ midp(sK22,sK24,sK22)
| cong(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_78823]) ).
cnf(c_79147,plain,
( ~ cyclic(X0,sK22,X1,sK24)
| cyclic(X0,sK22,sK24,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_79148,plain,
( ~ cyclic(sK22,sK22,sK22,sK24)
| cyclic(sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_79147]) ).
cnf(c_79537,plain,
( ~ eqangle(sK31,sK22,sK31,sK28,X0,X1,X2,X3)
| ~ eqangle(sK22,sK27,sK22,sK28,sK31,sK22,sK31,sK28)
| eqangle(sK22,sK27,sK22,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54145]) ).
cnf(c_79540,plain,
( ~ eqangle(sK22,sK27,sK22,sK28,sK31,sK22,sK31,sK28)
| ~ eqangle(sK31,sK22,sK31,sK28,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK27,sK22,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_79537]) ).
cnf(c_79660,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,X0,X1,sK22,sK27)
| eqangle(sK22,sK27,sK25,sK22,sK22,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_52890]) ).
cnf(c_79666,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK22,sK22,sK27)
| eqangle(sK22,sK27,sK25,sK22,sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_79660]) ).
cnf(c_79779,plain,
( ~ para(sK25,sK22,sK24,sK22)
| para(sK24,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_53765]) ).
cnf(c_79905,plain,
( ~ eqangle(X0,X1,sK24,sK22,X2,X3,X4,X5)
| ~ eqangle(sK25,sK22,sK24,sK22,X0,X1,sK24,sK22)
| eqangle(sK25,sK22,sK24,sK22,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_52911]) ).
cnf(c_80325,plain,
( ~ para(sK25,sK22,X0,X1)
| ~ para(sK24,sK22,sK25,sK22)
| para(sK24,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_53767]) ).
cnf(c_80329,plain,
( ~ para(sK25,sK22,sK22,sK22)
| ~ para(sK24,sK22,sK25,sK22)
| para(sK24,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_80325]) ).
cnf(c_80762,plain,
( ~ eqangle(X0,X1,X2,X3,sK31,sK22,sK31,sK28)
| eqangle(sK31,sK22,sK31,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_80763,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK31,sK22,sK31,sK28)
| eqangle(sK31,sK22,sK31,sK28,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_80762]) ).
cnf(c_81652,plain,
( ~ circle(X0,X1,X2,sK22)
| ~ midp(sK28,X2,sK22)
| eqangle(X1,X2,X1,sK22,X0,X2,X0,sK28) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_81653,plain,
( ~ circle(sK22,sK22,sK22,sK22)
| ~ midp(sK28,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_81652]) ).
cnf(c_82558,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK22,sK27,X2,X3,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_82559,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_82558]) ).
cnf(c_82662,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,sK22,sK27)
| ~ eqangle(X4,X5,sK22,sK27,sK22,sK25,sK22,sK27)
| eqangle(X0,X1,X2,X3,sK22,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_54300]) ).
cnf(c_82663,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK27)
| ~ eqangle(sK22,sK22,sK22,sK27,sK22,sK25,sK22,sK27)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_82662]) ).
cnf(c_82689,plain,
( ~ para(sK28,sK22,sK25,sK22)
| eqangle(sK28,sK22,sK24,sK22,sK25,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_54496]) ).
cnf(c_82690,plain,
( ~ eqangle(sK28,sK22,sK24,sK22,sK25,sK22,sK24,sK22)
| eqangle(sK22,sK28,sK24,sK22,sK25,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_54122]) ).
cnf(c_83020,plain,
( ~ eqangle(X0,X1,X0,sK28,X0,X2,X0,sK28)
| ~ cyclic(X1,sK28,X0,X0)
| ~ cyclic(X1,sK28,X0,X2)
| ~ cyclic(X1,sK28,X0,sK28)
| cong(X1,sK28,X2,sK28) ),
inference(instantiation,[status(thm)],[c_59372]) ).
cnf(c_83022,plain,
( ~ eqangle(sK22,sK22,sK22,sK28,sK22,sK22,sK22,sK28)
| ~ cyclic(sK22,sK28,sK22,sK22)
| ~ cyclic(sK22,sK28,sK22,sK28)
| cong(sK22,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_83020]) ).
cnf(c_84770,plain,
( ~ coll(sK22,sK27,sK22)
| coll(sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_85835,plain,
( ~ cong(X0,sK22,sK27,sK22)
| cong(sK27,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_85836,plain,
( ~ cong(sK22,sK22,sK27,sK22)
| cong(sK27,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_85835]) ).
cnf(c_86462,plain,
( ~ eqangle(sK22,sK27,X0,X1,X2,X3,X4,X5)
| ~ eqangle(sK22,sK27,sK25,sK22,sK22,sK27,X0,X1)
| eqangle(sK22,sK27,sK25,sK22,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_52893]) ).
cnf(c_86467,plain,
( ~ eqangle(sK22,sK27,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK27,sK25,sK22,sK22,sK27,sK22,sK22)
| eqangle(sK22,sK27,sK25,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_86462]) ).
cnf(c_86918,plain,
( ~ eqangle(sK25,sK22,sK24,sK22,X0,X1,X2,X3)
| ~ eqangle(sK22,sK28,sK24,sK22,sK25,sK22,sK24,sK22)
| eqangle(sK22,sK28,sK24,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54130]) ).
cnf(c_86923,plain,
( ~ eqangle(sK22,sK28,sK24,sK22,sK25,sK22,sK24,sK22)
| ~ eqangle(sK25,sK22,sK24,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK28,sK24,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_86918]) ).
cnf(c_93346,plain,
( ~ perp(X0,X1,X2,sK24)
| ~ perp(sK25,sK22,X0,X1)
| para(sK25,sK22,X2,sK24) ),
inference(instantiation,[status(thm)],[c_52849]) ).
cnf(c_95861,plain,
( ~ perp(X0,X1,sK25,sK22)
| ~ perp(sK28,sK22,X0,X1)
| para(sK28,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_53693]) ).
cnf(c_95868,plain,
( ~ perp(sK22,sK22,sK25,sK22)
| ~ perp(sK28,sK22,sK22,sK22)
| para(sK28,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_95861]) ).
cnf(c_100325,plain,
( ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK28,X1,sK28)
| perp(X0,X1,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_100326,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK28,sK22,sK28)
| perp(sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_100325]) ).
cnf(c_101782,plain,
( ~ para(X0,sK27,sK22,X1)
| ~ cyclic(X0,sK27,sK22,X1)
| eqangle(X0,X1,sK22,X1,sK22,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_101783,plain,
( ~ para(sK22,sK27,sK22,sK22)
| ~ cyclic(sK22,sK27,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_101782]) ).
cnf(c_102839,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK24,sK22,X2,X3,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_102840,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK24,sK22,sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_102839]) ).
cnf(c_102841,plain,
( ~ eqangle(sK24,X0,sK24,sK22,X1,X0,X1,sK22)
| ~ eqangle(sK25,sK22,sK24,sK22,sK24,X0,sK24,sK22)
| eqangle(sK25,sK22,sK24,sK22,X1,X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_79905]) ).
cnf(c_102843,plain,
( ~ eqangle(sK25,sK22,sK24,sK22,sK24,sK22,sK24,sK22)
| ~ eqangle(sK24,sK22,sK24,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK25,sK22,sK24,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_102841]) ).
cnf(c_121055,plain,
( ~ cyclic(sK22,sK27,X0,X1)
| cyclic(sK22,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_121056,plain,
( ~ cyclic(sK22,sK27,sK22,sK22)
| cyclic(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_121055]) ).
cnf(c_121807,plain,
( ~ cyclic(sK22,sK27,X0,sK24)
| cyclic(sK22,sK27,sK24,X0) ),
inference(instantiation,[status(thm)],[c_58431]) ).
cnf(c_121808,plain,
( ~ cyclic(sK22,sK27,sK22,sK24)
| cyclic(sK22,sK27,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_121807]) ).
cnf(c_122382,plain,
( ~ cong(sK27,X0,X1,X0)
| ~ cong(sK27,sK22,X1,sK22)
| perp(sK27,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_122383,plain,
( ~ cong(sK27,sK22,sK22,sK22)
| perp(sK27,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_122382]) ).
cnf(c_122514,plain,
( ~ eqangle(X0,X1,sK24,X1,X0,sK22,sK24,sK22)
| eqangle(X0,X1,X0,sK22,sK24,X1,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_122515,plain,
( ~ eqangle(sK22,sK22,sK24,sK22,sK22,sK22,sK24,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK24,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_122514]) ).
cnf(c_125545,plain,
( ~ para(X0,sK27,X0,sK22)
| eqangle(X0,sK27,X0,sK24,X0,sK22,X0,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_125546,plain,
( ~ para(sK22,sK27,sK22,sK22)
| eqangle(sK22,sK27,sK22,sK24,sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_125545]) ).
cnf(c_136526,plain,
( ~ perp(sK27,sK22,sK22,sK27)
| perp(sK22,sK27,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_60046]) ).
cnf(c_139247,plain,
( ~ cyclic(X0,sK22,sK28,sK28)
| cyclic(X0,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_66177]) ).
cnf(c_139248,plain,
( ~ cyclic(sK22,sK22,sK28,sK28)
| cyclic(sK22,sK28,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_139247]) ).
cnf(c_140671,plain,
( ~ perp(sK25,sK22,sK27,sK22)
| ~ perp(sK27,sK22,sK22,sK24)
| para(sK25,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_93346]) ).
cnf(c_157150,plain,
( ~ eqangle(sK25,sK22,sK25,sK27,sK24,sK22,sK22,sK28)
| eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_157151,plain,
( ~ eqangle(sK22,sK27,sK25,sK22,sK28,sK24,sK22,sK28)
| eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_157165,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK28,sK28,sK24)
| eqangle(sK22,sK25,sK22,sK27,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_157175,plain,
( ~ eqangle(sK24,sK22,sK22,sK28,sK25,sK22,sK25,sK27)
| eqangle(sK25,sK22,sK25,sK27,sK24,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_157185,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK24,sK22,sK28)
| ~ eqangle(sK22,sK27,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK27,sK25,sK22,sK28,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_157236,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK22,sK28,sK28,sK24)
| eqangle(X0,X1,X2,X3,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_157259,plain,
( ~ eqangle(sK25,sK22,sK25,sK27,X0,X1,X2,X3)
| eqangle(sK22,sK25,sK25,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_157260,plain,
( ~ eqangle(sK25,sK22,sK25,sK27,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK25,sK25,sK27,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_157259]) ).
cnf(c_157263,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK25,sK25,sK27)
| eqangle(sK22,sK25,sK25,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_157267,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(sK22,sK25,sK25,sK27,X0,X1,X2,X3)
| eqangle(sK22,sK25,sK25,sK27,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_157339,plain,
( ~ eqangle(X0,X1,X2,X3,sK25,sK22,sK25,sK27)
| ~ eqangle(sK24,sK22,sK22,sK28,X0,X1,X2,X3)
| eqangle(sK24,sK22,sK22,sK28,sK25,sK22,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_157340,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK25,sK22,sK25,sK27)
| ~ eqangle(sK24,sK22,sK22,sK28,sK22,sK22,sK22,sK22)
| eqangle(sK24,sK22,sK22,sK28,sK25,sK22,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_157339]) ).
cnf(c_157505,plain,
( ~ eqangle(X0,X1,sK22,sK28,sK28,sK24,sK22,sK28)
| ~ eqangle(sK22,sK27,sK25,sK22,X0,X1,sK22,sK28)
| eqangle(sK22,sK27,sK25,sK22,sK28,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_157185]) ).
cnf(c_157506,plain,
( ~ para(X0,X1,sK28,sK24)
| eqangle(X0,X1,sK22,sK28,sK28,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_157507,plain,
( ~ eqangle(sK22,sK22,sK22,sK28,sK28,sK24,sK22,sK28)
| ~ eqangle(sK22,sK27,sK25,sK22,sK22,sK22,sK22,sK28)
| eqangle(sK22,sK27,sK25,sK22,sK28,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_157505]) ).
cnf(c_157508,plain,
( ~ para(sK22,sK22,sK28,sK24)
| eqangle(sK22,sK22,sK22,sK28,sK28,sK24,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_157506]) ).
cnf(c_157592,plain,
( ~ eqangle(X0,X1,X2,X3,sK25,sK22,sK25,sK27)
| eqangle(sK25,sK22,sK25,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_157593,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK25,sK22,sK25,sK27)
| eqangle(sK25,sK22,sK25,sK27,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_157592]) ).
cnf(c_157628,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK25,sK25,sK27)
| eqangle(X1,X0,X2,X3,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_157631,plain,
( ~ eqangle(sK22,sK25,sK25,sK27,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_157632,plain,
( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_157631]) ).
cnf(c_157635,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK22,sK25,sK25,sK27)
| eqangle(X0,X1,X2,X3,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_157761,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK28,sK28,sK24)
| ~ eqangle(sK22,sK25,sK25,sK27,X0,X1,X2,X3)
| eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_157267]) ).
cnf(c_157762,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK28,sK28,sK24)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_157761]) ).
cnf(c_158182,plain,
( ~ midp(X0,X1,sK28)
| ~ midp(X2,X1,sK24)
| para(X0,X2,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_158183,plain,
( ~ midp(sK22,sK22,sK24)
| ~ midp(sK22,sK22,sK28)
| para(sK22,sK22,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_158182]) ).
cnf(c_158233,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,sK22,sK28)
| ~ eqangle(sK22,sK27,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK27,sK25,sK22,X4,X5,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_158234,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK28)
| ~ eqangle(sK22,sK27,sK25,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK27,sK25,sK22,sK22,sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_158233]) ).
cnf(c_158486,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK25,sK22,sK27)
| ~ eqangle(sK22,sK25,sK22,sK27,sK22,sK28,sK28,sK24)
| eqangle(X0,X1,X2,X3,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_157236]) ).
cnf(c_158487,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK25,sK22,sK27)
| ~ eqangle(sK22,sK25,sK22,sK27,sK22,sK28,sK28,sK24)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK28,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_158486]) ).
cnf(c_158513,plain,
( ~ eqangle(sK22,sK24,sK24,sK28,sK22,sK25,sK25,sK27)
| eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_157263]) ).
cnf(c_160005,plain,
( ~ eqangle(sK24,sK22,sK24,sK28,sK22,sK25,sK25,sK27)
| eqangle(sK22,sK24,sK24,sK28,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_157628]) ).
cnf(c_165549,plain,
( ~ eqangle(X0,X1,X2,X3,sK22,sK25,sK25,sK27)
| ~ eqangle(sK24,sK22,sK24,sK28,X0,X1,X2,X3)
| eqangle(sK24,sK22,sK24,sK28,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_157635]) ).
cnf(c_165552,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK25,sK25,sK27)
| ~ eqangle(sK24,sK22,sK24,sK28,sK22,sK22,sK22,sK22)
| eqangle(sK24,sK22,sK24,sK28,sK22,sK25,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_165549]) ).
cnf(c_165553,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_165552,c_160005,c_158513,c_158487,c_158234,c_158183,c_157762,c_157632,c_157593,c_157508,c_157507,c_157340,c_157260,c_157175,c_157165,c_157151,c_157150,c_140671,c_139248,c_136526,c_125546,c_122515,c_122383,c_121808,c_121056,c_102843,c_102840,c_101783,c_100326,c_95868,c_86923,c_86467,c_85836,c_84770,c_83022,c_82690,c_82689,c_82663,c_82559,c_81653,c_80763,c_80329,c_79779,c_79666,c_79540,c_79148,c_78824,c_78157,c_77983,c_77343,c_77324,c_77212,c_76002,c_75727,c_74153,c_74069,c_74002,c_72146,c_71995,c_71973,c_71927,c_70763,c_70415,c_69295,c_67826,c_67231,c_66666,c_66665,c_66185,c_65994,c_65836,c_65083,c_65047,c_63596,c_63491,c_62529,c_62216,c_60783,c_60493,c_60041,c_59737,c_59467,c_59222,c_59209,c_58436,c_58381,c_58363,c_58345,c_57658,c_57518,c_57085,c_56927,c_56459,c_56426,c_56298,c_56175,c_55738,c_54634,c_54304,c_47095,c_44945,c_43765,c_40301,c_37525,c_37486,c_37089,c_33900,c_32404,c_32364,c_25186,c_25078,c_25015,c_25002,c_24956,c_24582,c_18316,c_16965,c_16754,c_15200,c_15125,c_14535,c_13885,c_13559,c_12341,c_11869,c_11199,c_10846,c_10635,c_10634,c_10605,c_10027,c_5969,c_5913,c_4731,c_4153,c_3473,c_3028,c_2704,c_2291,c_2199,c_2133,c_1863,c_1492,c_1336,c_1310,c_1219,c_976,c_961,c_747,c_738,c_578,c_573,c_562,c_558,c_516,c_437,c_318,c_316,c_305,c_245,c_212,c_197,c_196,c_189,c_185,c_182,c_174,c_179,c_175,c_178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:14:34 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 115.49/16.22 % SZS status Started for theBenchmark.p
% 115.49/16.22 % SZS status Theorem for theBenchmark.p
% 115.49/16.22
% 115.49/16.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 115.49/16.22
% 115.49/16.22 ------ iProver source info
% 115.49/16.22
% 115.49/16.22 git: date: 2024-05-02 19:28:25 +0000
% 115.49/16.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 115.49/16.22 git: non_committed_changes: false
% 115.49/16.22
% 115.49/16.22 ------ Parsing...
% 115.49/16.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 115.49/16.22
% 115.49/16.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 115.49/16.22
% 115.49/16.22 ------ Preprocessing...
% 115.49/16.22
% 115.49/16.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 115.49/16.22 ------ Proving...
% 115.49/16.22 ------ Problem Properties
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22 clauses 125
% 115.49/16.22 conjectures 9
% 115.49/16.22 EPR 88
% 115.49/16.22 Horn 112
% 115.49/16.22 unary 6
% 115.49/16.22 binary 41
% 115.49/16.22 lits 360
% 115.49/16.22 lits eq 4
% 115.49/16.22 fd_pure 0
% 115.49/16.22 fd_pseudo 0
% 115.49/16.22 fd_cond 0
% 115.49/16.22 fd_pseudo_cond 4
% 115.49/16.22 AC symbols 0
% 115.49/16.22
% 115.49/16.22 ------ Input Options Time Limit: Unbounded
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22 ------
% 115.49/16.22 Current options:
% 115.49/16.22 ------
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22 ------ Proving...
% 115.49/16.22
% 115.49/16.22
% 115.49/16.22 % SZS status Theorem for theBenchmark.p
% 115.49/16.22
% 115.49/16.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.49/16.22
% 115.49/16.24
%------------------------------------------------------------------------------