TSTP Solution File: GEO635+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 02:18:09 EDT 2024
% Result : Theorem 69.89s 10.32s
% Output : CNFRefutation 69.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 42
% Syntax : Number of formulae : 503 ( 119 unt; 0 def)
% Number of atoms : 1170 ( 4 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1184 ( 517 ~; 508 |; 91 &)
% ( 0 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 1279 ( 1 sgn 886 !; 31 ?)
% 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(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(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).
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(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(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(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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(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] :
( ( coll(X12,X2,X4)
& circle(X3,X2,X12,X19)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X18)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> para(X0,X1,X12,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110998) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19] :
( ( coll(X12,X2,X4)
& circle(X3,X2,X12,X19)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X18)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> para(X0,X1,X12,X5) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(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] :
( ( coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> para(X0,X1,X6,X5) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(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(f185,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(flattening,[],[f185]) ).
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(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(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(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(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(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] :
( ~ para(X0,X1,X6,X5)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X1,X6,X5)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X1,X6,X5)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK20,sK21,sK26,sK25)
& coll(sK26,sK22,sK24)
& circle(sK23,sK22,sK26,sK28)
& eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21)
& circle(sK23,sK20,sK25,sK27)
& coll(sK24,sK20,sK21)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK20,sK21,sK26,sK25)
& coll(sK26,sK22,sK24)
& circle(sK23,sK22,sK26,sK28)
& eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21)
& circle(sK23,sK20,sK25,sK27)
& coll(sK24,sK20,sK21)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,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(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f433,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(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK23,sK22,sK26,sK28),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
~ para(sK20,sK21,sK26,sK25),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_61,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X4)
| cyclic(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ para(sK20,sK21,sK26,sK25),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_164,negated_conjecture,
circle(sK23,sK22,sK26,sK28),
inference(cnf_transformation,[],[f477]) ).
cnf(c_165,negated_conjecture,
eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f476]) ).
cnf(c_167,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f474]) ).
cnf(c_168,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_174,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_177,plain,
( ~ cyclic(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_183,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_232,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_2189,plain,
( X0 != sK23
| X1 != sK22
| X2 != sK26
| X3 != sK28
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_164]) ).
cnf(c_2190,plain,
perp(sK11(sK22,sK26,sK28,sK23),sK22,sK22,sK23),
inference(unflattening,[status(thm)],[c_2189]) ).
cnf(c_5094,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
cnf(c_5095,negated_conjecture,
coll(sK24,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
cnf(c_5097,negated_conjecture,
eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_5098,negated_conjecture,
circle(sK23,sK22,sK26,sK28),
inference(demodulation,[status(thm)],[c_164]) ).
cnf(c_5099,negated_conjecture,
coll(sK26,sK22,sK24),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_6638,plain,
coll(sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_5099,c_49]) ).
cnf(c_6639,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_5095,c_49]) ).
cnf(c_6645,plain,
coll(sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_5099,c_50]) ).
cnf(c_6646,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_5095,c_50]) ).
cnf(c_6647,plain,
coll(sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_6638,c_50]) ).
cnf(c_6660,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6639,c_50]) ).
cnf(c_6665,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6646,c_49]) ).
cnf(c_6696,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_5099,c_51]) ).
cnf(c_6697,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_5095,c_51]) ).
cnf(c_6698,plain,
( ~ coll(sK26,sK24,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_6638,c_51]) ).
cnf(c_6700,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6645,c_51]) ).
cnf(c_6702,plain,
( ~ coll(sK24,sK26,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_6647,c_51]) ).
cnf(c_6703,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6660,c_51]) ).
cnf(c_6705,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6665,c_51]) ).
cnf(c_6740,plain,
( ~ coll(sK26,sK24,sK22)
| coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_6698]) ).
cnf(c_6762,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_5099,c_6696]) ).
cnf(c_6763,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_6762,c_51]) ).
cnf(c_6783,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5095,c_6697]) ).
cnf(c_6784,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6783,c_51]) ).
cnf(c_6786,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6783,c_49]) ).
cnf(c_6790,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6786,c_51]) ).
cnf(c_6795,plain,
( ~ coll(sK21,sK24,sK22)
| coll(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_6790]) ).
cnf(c_6800,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_6638,c_6698]) ).
cnf(c_6804,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6800,c_49]) ).
cnf(c_6823,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6645,c_6700]) ).
cnf(c_6858,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6804,c_51]) ).
cnf(c_6861,plain,
coll(sK24,sK22,sK22),
inference(superposition,[status(thm)],[c_6804,c_6700]) ).
cnf(c_6864,plain,
( ~ coll(sK22,sK26,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6858]) ).
cnf(c_6872,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_6823,c_51]) ).
cnf(c_6899,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6783,c_6784]) ).
cnf(c_6904,plain,
coll(sK26,sK21,sK24),
inference(superposition,[status(thm)],[c_6899,c_6763]) ).
cnf(c_6909,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_6861,c_50]) ).
cnf(c_6929,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_6647,c_6702]) ).
cnf(c_6981,plain,
coll(sK26,sK24,sK21),
inference(superposition,[status(thm)],[c_6904,c_49]) ).
cnf(c_6984,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6929,c_51]) ).
cnf(c_7023,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6665,c_6705]) ).
cnf(c_7076,plain,
coll(sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_7023,c_6763]) ).
cnf(c_7082,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_7076,c_49]) ).
cnf(c_7127,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_7130,plain,
( ~ cyclic(sK22,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7127]) ).
cnf(c_7181,plain,
coll(sK22,sK21,sK26),
inference(superposition,[status(thm)],[c_6981,c_6698]) ).
cnf(c_7186,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_7181,c_50]) ).
cnf(c_7187,plain,
coll(sK22,sK26,sK21),
inference(superposition,[status(thm)],[c_7181,c_49]) ).
cnf(c_7205,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_6899,c_6872]) ).
cnf(c_7206,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_7023,c_6872]) ).
cnf(c_7209,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_7205,c_50]) ).
cnf(c_7293,plain,
( ~ coll(sK23,sK22,sK28)
| perp(sK22,sK26,sK26,sK28) ),
inference(superposition,[status(thm)],[c_5098,c_102]) ).
cnf(c_7295,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_5094,c_102]) ).
cnf(c_7320,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_7082,c_6698]) ).
cnf(c_7342,plain,
( ~ coll(sK23,sK28,sK22)
| coll(sK23,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7357,plain,
( ~ coll(sK23,sK22,sK28)
| perp(sK26,sK28,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7293,c_56]) ).
cnf(c_7388,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7295,c_55]) ).
cnf(c_7471,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,sK22,sK28) ),
inference(superposition,[status(thm)],[c_7293,c_104]) ).
cnf(c_7473,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7295,c_104]) ).
cnf(c_7520,plain,
( ~ perp(sK26,sK28,X0,X1)
| ~ coll(sK23,sK22,sK28)
| para(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7293,c_57]) ).
cnf(c_7522,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7295,c_57]) ).
cnf(c_7560,plain,
( ~ perp(sK21,sK22,sK22,sK22)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7522]) ).
cnf(c_7575,plain,
( ~ coll(sK22,X0,sK20)
| ~ coll(sK22,X0,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7576,plain,
( ~ coll(sK22,sK22,sK20)
| ~ coll(sK22,sK22,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7575]) ).
cnf(c_7596,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_7186,c_49]) ).
cnf(c_7608,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_7206,c_50]) ).
cnf(c_7609,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_7206,c_49]) ).
cnf(c_7617,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7388,c_104]) ).
cnf(c_7663,plain,
( ~ perp(sK11(sK22,sK26,sK28,sK23),sK22,sK22,sK23)
| perp(sK22,sK23,sK11(sK22,sK26,sK28,sK23),sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7664,plain,
( ~ perp(sK11(sK22,sK26,sK28,sK23),sK22,sK22,sK23)
| perp(sK11(sK22,sK26,sK28,sK23),sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_7720,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK28,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7471,c_72]) ).
cnf(c_7776,plain,
( ~ coll(sK23,sK22,sK28)
| para(sK22,sK26,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7357,c_7520]) ).
cnf(c_7795,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| circle(sK20,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7473,c_60]) ).
cnf(c_7830,plain,
( ~ cong(sK22,sK28,X0,X1)
| ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7471,c_73]) ).
cnf(c_7896,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_7209,c_49]) ).
cnf(c_7977,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_7320,c_49]) ).
cnf(c_8055,plain,
coll(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_6804,c_6858]) ).
cnf(c_8057,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_7187,c_6858]) ).
cnf(c_8078,plain,
eqangle(sK22,sK20,sK22,sK24,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5097,c_66]) ).
cnf(c_8095,plain,
eqangle(sK22,sK24,sK20,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_5097,c_67]) ).
cnf(c_8230,plain,
eqangle(sK25,sK22,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_5097,c_68]) ).
cnf(c_8231,plain,
eqangle(sK25,sK22,sK22,sK21,sK22,sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_8078,c_68]) ).
cnf(c_8253,plain,
eqangle(sK20,sK22,sK25,sK22,sK22,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_5097,c_69]) ).
cnf(c_8255,plain,
eqangle(sK22,sK24,sK22,sK21,sK20,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_8095,c_69]) ).
cnf(c_8288,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7596,c_51]) ).
cnf(c_8293,plain,
( ~ coll(sK21,sK26,sK22)
| coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_8288]) ).
cnf(c_8310,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_7608,c_49]) ).
cnf(c_8314,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7609,c_51]) ).
cnf(c_8320,plain,
( ~ coll(sK22,sK24,sK22)
| coll(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8314]) ).
cnf(c_8324,plain,
eqangle(sK22,sK25,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_8230,c_66]) ).
cnf(c_8453,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_7896,c_6790]) ).
cnf(c_8454,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7896,c_6703]) ).
cnf(c_8805,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7977,c_6858]) ).
cnf(c_8847,plain,
( ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK28)
| coll(sK23,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8848,plain,
( ~ coll(sK22,sK22,sK23)
| ~ coll(sK22,sK22,sK28)
| coll(sK23,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_8847]) ).
cnf(c_9168,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_8057,c_50]) ).
cnf(c_9169,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_8057,c_49]) ).
cnf(c_9638,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_8310,c_51]) ).
cnf(c_9645,plain,
( ~ coll(sK20,sK24,sK22)
| coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9638]) ).
cnf(c_9775,plain,
( ~ perp(sK11(sK22,sK26,sK28,sK23),sK22,X0,X1)
| ~ perp(sK22,sK23,sK11(sK22,sK26,sK28,sK23),sK22)
| para(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_9831,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7617,c_72]) ).
cnf(c_9969,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_7295,c_97]) ).
cnf(c_10132,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_8454,c_49]) ).
cnf(c_10226,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,X1,sK21,sK21,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_9969,c_69]) ).
cnf(c_10227,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(X1,sK21,X1,X0,sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9969,c_68]) ).
cnf(c_10474,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ midp(X0,sK22,sK22)
| ~ coll(sK23,sK22,sK28)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_7776,c_113]) ).
cnf(c_10509,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ coll(sK23,sK22,sK28)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_10474]) ).
cnf(c_10900,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_8805,c_49]) ).
cnf(c_11773,plain,
( ~ para(sK28,X0,sK28,sK22)
| coll(sK28,X0,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_11776,plain,
( ~ para(sK28,sK22,sK28,sK22)
| coll(sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11773]) ).
cnf(c_11860,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ cong(sK20,sK21,sK20,X1)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cyclic(sK21,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_7473,c_61]) ).
cnf(c_12034,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK22)
| coll(sK22,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_12035,plain,
( ~ coll(sK23,sK22,sK22)
| coll(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_12034]) ).
cnf(c_12947,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_5094,c_102]) ).
cnf(c_13316,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_13319,plain,
( ~ para(sK23,sK22,sK23,sK22)
| coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_13316]) ).
cnf(c_13816,plain,
( ~ eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3)
| eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_5097,c_70]) ).
cnf(c_13818,plain,
( ~ eqangle(sK22,sK21,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK24,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8095,c_70]) ).
cnf(c_13819,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8230,c_70]) ).
cnf(c_13820,plain,
( ~ eqangle(sK22,sK24,sK22,sK21,X0,X1,X2,X3)
| eqangle(sK20,sK22,sK25,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8253,c_70]) ).
cnf(c_13830,plain,
( ~ eqangle(sK20,sK22,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK24,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8255,c_70]) ).
cnf(c_13834,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK22,sK25,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8324,c_70]) ).
cnf(c_14061,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_12947,c_104]) ).
cnf(c_14235,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,sK22,sK24,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_88,c_13816]) ).
cnf(c_14239,plain,
eqangle(sK20,sK22,sK22,sK24,sK22,sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_8231,c_13816]) ).
cnf(c_14263,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_14239,c_87]) ).
cnf(c_14287,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,X0,X1,sK22,sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14235,c_69]) ).
cnf(c_14566,plain,
( ~ para(sK22,sK21,X0,X1)
| eqangle(sK22,sK24,sK20,sK22,X0,X1,sK25,sK22) ),
inference(superposition,[status(thm)],[c_88,c_13818]) ).
cnf(c_15210,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_14263,c_94]) ).
cnf(c_15213,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_14263,c_53]) ).
cnf(c_15246,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_15213,c_94]) ).
cnf(c_15263,plain,
( ~ coll(sK20,sK22,sK22)
| ~ midp(sK22,sK22,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_15246]) ).
cnf(c_15301,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5097,c_13819]) ).
cnf(c_15360,plain,
eqangle(sK25,sK22,sK25,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_15301,c_69]) ).
cnf(c_15362,plain,
eqangle(sK22,sK21,sK25,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_15301,c_67]) ).
cnf(c_15363,plain,
eqangle(sK22,sK25,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_15301,c_66]) ).
cnf(c_15364,plain,
para(sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15301,c_87]) ).
cnf(c_15384,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK25,X0,sK25)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_15364,c_94]) ).
cnf(c_15389,plain,
coll(sK25,sK22,sK22),
inference(superposition,[status(thm)],[c_15364,c_115]) ).
cnf(c_15402,plain,
eqangle(sK22,sK21,sK22,sK21,sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15360,c_68]) ).
cnf(c_15420,plain,
eqangle(sK21,sK22,sK25,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_15362,c_66]) ).
cnf(c_15421,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_15362,c_87]) ).
cnf(c_15449,plain,
para(sK22,sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_15363,c_87]) ).
cnf(c_15461,plain,
( ~ para(sK22,sK24,X0,X1)
| eqangle(sK20,sK22,sK25,sK22,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_88,c_13820]) ).
cnf(c_15720,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14061,c_72]) ).
cnf(c_16166,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15389,c_50]) ).
cnf(c_16173,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_16166,c_49]) ).
cnf(c_16204,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_16173,c_6984]) ).
cnf(c_16210,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_16204,c_49]) ).
cnf(c_16281,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_15421,c_94]) ).
cnf(c_16294,plain,
( ~ coll(sK21,sK22,sK21)
| ~ midp(sK22,sK22,sK22)
| midp(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_16281]) ).
cnf(c_16298,plain,
( ~ para(sK25,sK22,X0,X1)
| para(sK22,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_15449,c_54]) ).
cnf(c_16300,plain,
para(sK22,sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_15449,c_52]) ).
cnf(c_16311,plain,
( ~ para(sK25,sK22,sK22,sK22)
| para(sK22,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_16298]) ).
cnf(c_16973,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_16210,c_50]) ).
cnf(c_17143,plain,
eqangle(sK21,sK22,sK22,sK21,sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15402,c_66]) ).
cnf(c_17189,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_15420,c_87]) ).
cnf(c_17613,plain,
( ~ midp(sK25,sK22,sK25)
| midp(sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_8055,c_15384]) ).
cnf(c_17658,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK22,sK24,sK22,sK21,sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_14287,c_68]) ).
cnf(c_18196,plain,
( ~ para(sK22,sK21,X0,X1)
| eqangle(sK22,sK24,X0,X1,sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_14566,c_69]) ).
cnf(c_18480,plain,
( ~ para(sK22,sK24,X0,X1)
| eqangle(X0,X1,sK22,sK21,sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_15461,c_68]) ).
cnf(c_18922,plain,
( ~ para(sK22,sK25,sK22,sK25)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_16300,c_113]) ).
cnf(c_18932,plain,
( ~ midp(X0,sK22,sK22)
| midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18922,c_16300]) ).
cnf(c_18935,plain,
( ~ midp(sK22,sK22,sK22)
| midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_18932]) ).
cnf(c_19352,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_17189,c_94]) ).
cnf(c_19356,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_17189,c_52]) ).
cnf(c_19369,plain,
( ~ coll(sK22,sK22,sK21)
| ~ midp(sK21,sK22,sK22)
| midp(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_19352]) ).
cnf(c_20764,plain,
eqangle(sK22,sK24,sK22,sK21,sK22,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_8253,c_13830]) ).
cnf(c_20834,plain,
( ~ coll(sK22,sK22,sK21)
| cyclic(sK24,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_20764,c_91]) ).
cnf(c_20840,plain,
cyclic(sK24,sK21,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_20834,c_9169]) ).
cnf(c_20922,plain,
( ~ cyclic(sK24,sK21,sK22,X0)
| cyclic(sK21,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_20840,c_65]) ).
cnf(c_20930,plain,
( ~ cyclic(sK24,sK21,sK22,sK22)
| cyclic(sK21,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_20922]) ).
cnf(c_20975,plain,
( ~ perp(sK11(sK22,sK26,sK28,sK23),sK22,sK23,sK22)
| ~ perp(sK22,sK23,sK11(sK22,sK26,sK28,sK23),sK22)
| para(sK22,sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_9775]) ).
cnf(c_21137,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK22,sK25,sK22,sK21,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14235,c_13834]) ).
cnf(c_21165,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(X0,X1,sK22,sK21,sK22,sK25,sK22,sK21) ),
inference(superposition,[status(thm)],[c_21137,c_68]) ).
cnf(c_21244,plain,
( ~ coll(sK28,X0,X1)
| ~ coll(sK28,X0,sK22)
| coll(sK22,X1,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_21245,plain,
( ~ coll(sK28,sK22,sK22)
| coll(sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_21244]) ).
cnf(c_22685,plain,
( ~ perp(sK21,X0,X1,X0)
| ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,X1,sK21) ),
inference(superposition,[status(thm)],[c_10226,c_123]) ).
cnf(c_22738,plain,
( ~ perp(sK21,sK22,sK22,sK22)
| ~ circle(sK20,sK21,sK22,sK22)
| ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_22685]) ).
cnf(c_22816,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ para(sK21,sK22,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| para(X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_10227,c_122]) ).
cnf(c_22889,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ circle(sK20,sK21,sK22,sK22)
| ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_22816]) ).
cnf(c_24526,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_16973,c_8314]) ).
cnf(c_24628,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_24526,c_50]) ).
cnf(c_24653,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_24628,c_49]) ).
cnf(c_24682,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_24653,c_50]) ).
cnf(c_25236,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7473,c_7795]) ).
cnf(c_25257,plain,
( ~ coll(sK20,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_25236,c_102]) ).
cnf(c_25258,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25257,c_10132]) ).
cnf(c_25382,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7720,c_7830]) ).
cnf(c_25708,plain,
( ~ para(sK22,sK23,sK23,sK22)
| para(sK23,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_30683,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cyclic(sK21,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7473,c_11860]) ).
cnf(c_30718,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cyclic(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7473,c_30683]) ).
cnf(c_30762,plain,
cyclic(sK21,sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_30718,c_20840,c_20930]) ).
cnf(c_30765,plain,
( ~ cyclic(sK21,sK22,sK22,X0)
| cyclic(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_30762,c_65]) ).
cnf(c_30773,plain,
( ~ cyclic(sK21,sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_30765]) ).
cnf(c_31494,plain,
( ~ para(sK20,sK21,sK25,sK26)
| para(sK20,sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_31526,plain,
( ~ para(sK23,X0,X1,sK23)
| para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_31527,plain,
( ~ para(sK23,sK22,sK22,sK23)
| para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_31526]) ).
cnf(c_32654,plain,
eqangle(sK25,sK22,sK25,sK22,sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_17143,c_68]) ).
cnf(c_34999,plain,
( ~ eqangle(sK28,X0,X1,X2,sK28,sK22,X1,X2)
| para(sK28,X0,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_35000,plain,
( ~ eqangle(sK28,sK22,sK22,sK22,sK28,sK22,sK22,sK22)
| para(sK28,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_34999]) ).
cnf(c_37792,plain,
midp(sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_17613,c_174,c_177,c_232,c_6804,c_6864,c_20840,c_20930,c_30773]) ).
cnf(c_40931,plain,
cong(sK20,sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_15720,c_174,c_177,c_232,c_2190,c_6795,c_6804,c_6864,c_7576,c_7617,c_7664,c_7663,c_7896,c_8310,c_9645,c_12035,c_13319,c_16294,c_20840,c_20930,c_20975,c_25708,c_30773,c_31527]) ).
cnf(c_40937,plain,
cong(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_40931,c_72]) ).
cnf(c_41171,plain,
( ~ para(sK25,sK26,sK20,sK21)
| para(sK20,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_42596,plain,
( ~ eqangle(X0,sK22,sK28,sK22,X0,X1,sK28,X2)
| eqangle(sK28,sK22,X0,sK22,sK28,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_42597,plain,
( ~ eqangle(sK22,sK22,sK28,sK22,sK22,sK22,sK28,sK22)
| eqangle(sK28,sK22,sK22,sK22,sK28,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_42596]) ).
cnf(c_46629,plain,
( ~ cong(sK20,sK21,sK20,X0)
| circle(sK20,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_40937,c_60]) ).
cnf(c_46651,plain,
( ~ cong(sK20,sK21,sK20,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_46629]) ).
cnf(c_53318,plain,
( ~ perp(sK21,sK22,sK22,sK21)
| perp(sK25,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_32654,c_123]) ).
cnf(c_55807,plain,
( ~ midp(sK20,sK22,sK22)
| midp(sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_10900,c_15210]) ).
cnf(c_55817,plain,
( ~ midp(sK20,sK25,sK22)
| midp(sK22,sK25,sK20) ),
inference(superposition,[status(thm)],[c_24682,c_15210]) ).
cnf(c_55936,plain,
( ~ midp(sK22,sK22,sK22)
| midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8453,c_16281]) ).
cnf(c_55955,plain,
midp(sK21,sK22,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_55936,c_37792]) ).
cnf(c_56448,plain,
midp(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_55955,c_59]) ).
cnf(c_56472,plain,
( ~ coll(sK23,sK20,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25236,c_56448]) ).
cnf(c_56572,plain,
circle(sK20,sK21,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_56472,c_174,c_177,c_232,c_2190,c_6795,c_6804,c_6864,c_7576,c_7664,c_7663,c_7896,c_8310,c_9645,c_9831,c_12035,c_13319,c_16294,c_20840,c_20930,c_20975,c_25708,c_30773,c_31527,c_46651]) ).
cnf(c_56574,plain,
( ~ coll(sK20,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56572,c_102]) ).
cnf(c_56578,plain,
perp(sK21,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56574,c_10132]) ).
cnf(c_56850,plain,
( ~ midp(sK22,sK22,sK22)
| cong(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_56578,c_104]) ).
cnf(c_56858,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56578,c_7522]) ).
cnf(c_56863,plain,
cong(sK21,sK22,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56850,c_37792]) ).
cnf(c_56982,plain,
( ~ coll(sK21,sK22,sK22)
| midp(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56863,c_116]) ).
cnf(c_56995,plain,
midp(sK21,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56982,c_9168]) ).
cnf(c_57116,plain,
para(sK20,sK21,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_56858,c_2190,c_7560,c_7576,c_7664,c_7663,c_8310,c_9645,c_12035,c_13319,c_20975,c_25258,c_25708,c_31527,c_56448]) ).
cnf(c_57122,plain,
para(sK22,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_57116,c_53]) ).
cnf(c_57141,plain,
para(sK22,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_57122,c_52]) ).
cnf(c_57405,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK22,X0,sK21)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_57141,c_94]) ).
cnf(c_57423,plain,
( ~ coll(sK22,sK22,sK20)
| ~ midp(sK22,sK22,sK21)
| midp(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_57405]) ).
cnf(c_60231,plain,
eqangle(sK25,sK22,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_5097,c_68]) ).
cnf(c_64267,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_60231,c_70]) ).
cnf(c_65363,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5097,c_64267]) ).
cnf(c_65423,plain,
eqangle(sK25,sK22,sK25,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_65363,c_69]) ).
cnf(c_67362,plain,
( ~ perp(sK22,sK21,sK22,sK21)
| perp(sK25,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_65423,c_123]) ).
cnf(c_69315,plain,
( ~ midp(X0,sK26,sK21)
| ~ midp(X0,sK25,sK20)
| para(sK25,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_69316,plain,
( ~ midp(sK22,sK26,sK21)
| ~ midp(sK22,sK25,sK20)
| para(sK25,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_69315]) ).
cnf(c_73852,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,sK25,sK22,sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_17658,c_13820]) ).
cnf(c_73908,plain,
( ~ para(sK20,sK22,X0,X1)
| ~ para(sK25,sK22,X0,X1)
| para(sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_73852,c_122]) ).
cnf(c_73935,plain,
( ~ para(sK20,sK22,sK22,sK22)
| ~ para(sK25,sK22,sK22,sK22)
| para(sK20,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_73908]) ).
cnf(c_74659,plain,
midp(sK22,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_55807,c_7596,c_8293,c_8310,c_9645,c_19369,c_56995,c_57423]) ).
cnf(c_74664,plain,
midp(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_74659,c_59]) ).
cnf(c_74670,plain,
( ~ midp(sK22,X0,X1)
| para(sK20,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_74664,c_112]) ).
cnf(c_74679,plain,
( ~ midp(sK22,sK22,sK22)
| para(sK20,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_74670]) ).
cnf(c_75477,plain,
( ~ para(sK22,sK21,X0,X1)
| ~ para(sK20,sK22,sK25,sK22)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_18196,c_122]) ).
cnf(c_75516,plain,
( ~ para(sK20,sK22,sK25,sK22)
| ~ para(sK22,sK21,sK22,sK22)
| para(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_75477]) ).
cnf(c_76608,plain,
( ~ para(sK22,sK24,X0,X1)
| ~ para(sK20,sK22,sK25,sK22)
| para(X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_18480,c_122]) ).
cnf(c_76665,plain,
( ~ para(sK20,sK22,sK25,sK22)
| ~ para(sK22,sK24,sK22,sK22)
| para(sK22,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_76608]) ).
cnf(c_79155,plain,
( ~ para(X0,X1,X2,sK26)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK26)
| midp(X1,X3,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_79156,plain,
( ~ para(sK22,sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK26)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_79155]) ).
cnf(c_79233,plain,
( ~ midp(X0,sK26,sK26)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_79234,plain,
( ~ midp(sK22,sK26,sK26)
| cong(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_79233]) ).
cnf(c_83968,plain,
perp(sK25,sK22,sK25,sK22),
inference(global_subsumption_just,[status(thm)],[c_67362,c_174,c_177,c_232,c_2190,c_6795,c_6804,c_6864,c_7576,c_7664,c_7663,c_7896,c_8310,c_9645,c_9831,c_12035,c_13319,c_16294,c_20840,c_20930,c_20975,c_22738,c_25258,c_25708,c_30773,c_31527,c_46651,c_53318,c_56448]) ).
cnf(c_83970,plain,
( ~ perp(sK25,sK22,X0,X1)
| para(sK25,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_83968,c_57]) ).
cnf(c_83973,plain,
perp(sK25,sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_83968,c_55]) ).
cnf(c_83978,plain,
( ~ perp(sK25,sK22,sK22,sK22)
| para(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_83970]) ).
cnf(c_84703,plain,
( ~ para(sK25,sK22,X0,X1)
| para(X0,X1,sK22,sK25) ),
inference(superposition,[status(thm)],[c_21165,c_87]) ).
cnf(c_84754,plain,
( ~ para(sK25,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_84703]) ).
cnf(c_86130,plain,
( ~ coll(sK23,sK22,sK28)
| cong(sK22,sK26,sK22,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_25382,c_174,c_177,c_232,c_6804,c_6864,c_7776,c_10509,c_20840,c_20930,c_30773,c_79234]) ).
cnf(c_86152,plain,
( ~ cong(sK22,X0,sK22,X0)
| ~ coll(sK23,sK22,sK28)
| perp(sK22,sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_86130,c_105]) ).
cnf(c_86237,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK23,sK22,sK28)
| perp(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_86152]) ).
cnf(c_87564,plain,
( ~ para(X0,X1,X2,sK21)
| ~ midp(X0,sK26,X2)
| ~ coll(X1,sK26,sK21)
| midp(X1,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_87565,plain,
( ~ para(sK22,sK22,sK22,sK21)
| ~ coll(sK22,sK26,sK21)
| ~ midp(sK22,sK26,sK22)
| midp(sK22,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_87564]) ).
cnf(c_90375,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(sK20,X0,X2)
| midp(sK20,sK25,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_90376,plain,
( ~ para(sK22,sK25,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK25)
| ~ midp(sK20,sK22,sK22)
| midp(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_90375]) ).
cnf(c_94012,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK26)
| para(X0,X1,X4,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_94013,plain,
( ~ perp(sK22,sK22,sK22,sK26)
| ~ perp(sK22,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_94012]) ).
cnf(c_94593,plain,
( ~ cong(sK25,X0,X0,X0)
| ~ cong(sK25,X1,X0,X1)
| perp(sK25,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_94594,plain,
( ~ cong(sK25,sK22,sK22,sK22)
| perp(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_94593]) ).
cnf(c_94746,plain,
( ~ midp(X0,X1,sK26)
| midp(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_94747,plain,
( ~ midp(sK22,sK22,sK26)
| midp(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_94746]) ).
cnf(c_103469,plain,
( ~ midp(X0,sK25,sK25)
| cong(sK25,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_83973,c_101]) ).
cnf(c_103484,plain,
( ~ midp(sK22,sK25,sK25)
| cong(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_103469]) ).
cnf(c_159974,plain,
( ~ para(X0,X1,X0,X2)
| eqangle(X0,X1,sK28,X1,X0,X2,sK28,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_159975,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK28,sK22,sK22,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_159974]) ).
cnf(c_159976,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_159975,c_103484,c_94747,c_94594,c_94013,c_90376,c_87565,c_86237,c_84754,c_83978,c_79156,c_76665,c_75516,c_74679,c_73935,c_69316,c_57423,c_56995,c_55817,c_46651,c_42597,c_41171,c_35000,c_31527,c_31494,c_30773,c_25708,c_22889,c_21245,c_20975,c_20930,c_20840,c_19369,c_19356,c_18935,c_16311,c_16294,c_15263,c_13319,c_12035,c_11776,c_9831,c_9645,c_8848,c_8320,c_8310,c_8293,c_7896,c_7663,c_7664,c_7596,c_7576,c_7342,c_7187,c_7130,c_6909,c_6864,c_6804,c_6795,c_6740,c_6638,c_2190,c_232,c_183,c_177,c_174,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 01:10:57 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 69.89/10.32 % SZS status Started for theBenchmark.p
% 69.89/10.32 % SZS status Theorem for theBenchmark.p
% 69.89/10.32
% 69.89/10.32 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 69.89/10.32
% 69.89/10.32 ------ iProver source info
% 69.89/10.32
% 69.89/10.32 git: date: 2024-05-02 19:28:25 +0000
% 69.89/10.32 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 69.89/10.32 git: non_committed_changes: false
% 69.89/10.32
% 69.89/10.32 ------ Parsing...
% 69.89/10.32 ------ Clausification by vclausify_rel & Parsing by iProver...
% 69.89/10.32
% 69.89/10.32 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 69.89/10.32
% 69.89/10.32 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 69.89/10.32
% 69.89/10.32 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 69.89/10.32 ------ Proving...
% 69.89/10.32 ------ Problem Properties
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32 clauses 119
% 69.89/10.32 conjectures 7
% 69.89/10.32 EPR 82
% 69.89/10.32 Horn 109
% 69.89/10.32 unary 7
% 69.89/10.32 binary 37
% 69.89/10.32 lits 335
% 69.89/10.32 lits eq 4
% 69.89/10.32 fd_pure 0
% 69.89/10.32 fd_pseudo 0
% 69.89/10.32 fd_cond 0
% 69.89/10.32 fd_pseudo_cond 4
% 69.89/10.32 AC symbols 0
% 69.89/10.32
% 69.89/10.32 ------ Schedule dynamic 5 is on
% 69.89/10.32
% 69.89/10.32 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32 ------
% 69.89/10.32 Current options:
% 69.89/10.32 ------
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32 ------ Proving...
% 69.89/10.32
% 69.89/10.32
% 69.89/10.32 % SZS status Theorem for theBenchmark.p
% 69.89/10.32
% 69.89/10.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.89/10.33
% 69.89/10.33
%------------------------------------------------------------------------------