TSTP Solution File: GEO635+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:14 EDT 2023
% Result : Theorem 32.83s 5.25s
% Output : CNFRefutation 32.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 44
% Syntax : Number of formulae : 557 ( 133 unt; 0 def)
% Number of atoms : 1278 ( 8 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1287 ( 566 ~; 557 |; 93 &)
% ( 0 <=>; 71 =>; 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 : 1349 ( 1 sgn; 923 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(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/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(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(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(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(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(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(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_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_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_2358,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK21
| X3 != sK22
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_102,c_168]) ).
cnf(c_2359,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(unflattening,[status(thm)],[c_2358]) ).
cnf(c_6631,plain,
coll(sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6632,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_6638,plain,
coll(sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_6639,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_6640,plain,
coll(sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_6631,c_50]) ).
cnf(c_6653,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6632,c_50]) ).
cnf(c_6658,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6639,c_49]) ).
cnf(c_6689,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_6690,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_6691,plain,
( ~ coll(sK26,sK24,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_6631,c_51]) ).
cnf(c_6693,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6638,c_51]) ).
cnf(c_6694,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6639,c_51]) ).
cnf(c_6695,plain,
( ~ coll(sK24,sK26,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_6640,c_51]) ).
cnf(c_6696,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6653,c_51]) ).
cnf(c_6698,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6658,c_51]) ).
cnf(c_6733,plain,
( ~ coll(sK26,sK24,sK22)
| coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_6691]) ).
cnf(c_6755,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_163,c_6689]) ).
cnf(c_6756,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_6755,c_51]) ).
cnf(c_6776,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_167,c_6690]) ).
cnf(c_6777,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6776,c_51]) ).
cnf(c_6779,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6776,c_49]) ).
cnf(c_6783,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6779,c_51]) ).
cnf(c_6788,plain,
( ~ coll(sK21,sK24,sK22)
| coll(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_6783]) ).
cnf(c_6793,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_6631,c_6691]) ).
cnf(c_6797,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6793,c_49]) ).
cnf(c_6816,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6638,c_6693]) ).
cnf(c_6821,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6639,c_6694]) ).
cnf(c_6851,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6797,c_51]) ).
cnf(c_6854,plain,
coll(sK24,sK22,sK22),
inference(superposition,[status(thm)],[c_6797,c_6693]) ).
cnf(c_6857,plain,
( ~ coll(sK22,sK26,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6851]) ).
cnf(c_6865,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_6816,c_51]) ).
cnf(c_6873,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6821,c_49]) ).
cnf(c_6892,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6776,c_6777]) ).
cnf(c_6897,plain,
coll(sK26,sK21,sK24),
inference(superposition,[status(thm)],[c_6892,c_6756]) ).
cnf(c_6902,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_6854,c_50]) ).
cnf(c_6922,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_6640,c_6695]) ).
cnf(c_6974,plain,
coll(sK26,sK24,sK21),
inference(superposition,[status(thm)],[c_6897,c_49]) ).
cnf(c_6977,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6922,c_51]) ).
cnf(c_7016,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6658,c_6698]) ).
cnf(c_7120,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_7123,plain,
( ~ cyclic(sK22,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7120]) ).
cnf(c_7174,plain,
coll(sK22,sK21,sK26),
inference(superposition,[status(thm)],[c_6974,c_6691]) ).
cnf(c_7179,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_7174,c_50]) ).
cnf(c_7180,plain,
coll(sK22,sK26,sK21),
inference(superposition,[status(thm)],[c_7174,c_49]) ).
cnf(c_7198,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_6892,c_6865]) ).
cnf(c_7199,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_7016,c_6865]) ).
cnf(c_7202,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_7198,c_50]) ).
cnf(c_7286,plain,
( ~ coll(sK23,sK22,sK28)
| perp(sK22,sK26,sK26,sK28) ),
inference(superposition,[status(thm)],[c_164,c_102]) ).
cnf(c_7288,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
cnf(c_7335,plain,
( ~ coll(sK23,sK28,sK22)
| coll(sK23,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7350,plain,
( ~ coll(sK23,sK22,sK28)
| perp(sK26,sK28,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7286,c_56]) ).
cnf(c_7380,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7288,c_56]) ).
cnf(c_7381,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7288,c_55]) ).
cnf(c_7428,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7380,c_55]) ).
cnf(c_7464,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,sK22,sK28) ),
inference(superposition,[status(thm)],[c_7286,c_104]) ).
cnf(c_7466,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7288,c_104]) ).
cnf(c_7513,plain,
( ~ perp(sK26,sK28,X0,X1)
| ~ coll(sK23,sK22,sK28)
| para(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7286,c_57]) ).
cnf(c_7515,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7288,c_57]) ).
cnf(c_7553,plain,
( ~ perp(sK21,sK22,sK22,sK22)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7515]) ).
cnf(c_7568,plain,
( ~ coll(sK22,X0,sK20)
| ~ coll(sK22,X0,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7569,plain,
( ~ coll(sK22,sK22,sK20)
| ~ coll(sK22,sK22,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7568]) ).
cnf(c_7589,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_7179,c_49]) ).
cnf(c_7601,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_7199,c_50]) ).
cnf(c_7602,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_7199,c_49]) ).
cnf(c_7610,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7381,c_104]) ).
cnf(c_7611,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7381,c_56]) ).
cnf(c_7656,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_7657,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_7713,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK28,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7464,c_72]) ).
cnf(c_7769,plain,
( ~ coll(sK23,sK22,sK28)
| para(sK22,sK26,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7350,c_7513]) ).
cnf(c_7788,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| circle(sK20,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7466,c_60]) ).
cnf(c_7823,plain,
( ~ cong(sK22,sK28,X0,X1)
| ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7464,c_73]) ).
cnf(c_7889,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_7202,c_49]) ).
cnf(c_8048,plain,
coll(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_6797,c_6851]) ).
cnf(c_8050,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_7180,c_6851]) ).
cnf(c_8071,plain,
eqangle(sK22,sK20,sK22,sK24,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_66]) ).
cnf(c_8088,plain,
eqangle(sK22,sK24,sK20,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_165,c_67]) ).
cnf(c_8192,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK21,sK20)
| cong(sK21,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7428,c_104]) ).
cnf(c_8223,plain,
eqangle(sK25,sK22,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_165,c_68]) ).
cnf(c_8224,plain,
eqangle(sK25,sK22,sK22,sK21,sK22,sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_8071,c_68]) ).
cnf(c_8246,plain,
eqangle(sK20,sK22,sK25,sK22,sK22,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_69]) ).
cnf(c_8248,plain,
eqangle(sK22,sK24,sK22,sK21,sK20,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_8088,c_69]) ).
cnf(c_8281,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7589,c_51]) ).
cnf(c_8286,plain,
( ~ coll(sK21,sK26,sK22)
| coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_8281]) ).
cnf(c_8303,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_7601,c_49]) ).
cnf(c_8307,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7602,c_51]) ).
cnf(c_8313,plain,
( ~ coll(sK22,sK24,sK22)
| coll(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8307]) ).
cnf(c_8317,plain,
eqangle(sK22,sK25,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_8223,c_66]) ).
cnf(c_8446,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_7889,c_6783]) ).
cnf(c_8447,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7889,c_6696]) ).
cnf(c_8729,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_8742,plain,
coll(sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_8820,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_8729,c_50]) ).
cnf(c_8840,plain,
( ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK28)
| coll(sK23,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8841,plain,
( ~ coll(sK22,sK22,sK23)
| ~ coll(sK22,sK22,sK28)
| coll(sK23,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_8840]) ).
cnf(c_8923,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7611,c_104]) ).
cnf(c_8925,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7611,c_55]) ).
cnf(c_9051,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_9054,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_8742,c_51]) ).
cnf(c_9057,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_8820,c_51]) ).
cnf(c_9161,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_8050,c_50]) ).
cnf(c_9162,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_8050,c_49]) ).
cnf(c_9594,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_167,c_9051]) ).
cnf(c_9631,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_8303,c_51]) ).
cnf(c_9635,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_8303,c_6694]) ).
cnf(c_9638,plain,
( ~ coll(sK20,sK24,sK22)
| coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9631]) ).
cnf(c_9660,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_9594,c_51]) ).
cnf(c_9713,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_9635,c_50]) ).
cnf(c_9768,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_9824,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7610,c_72]) ).
cnf(c_9962,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_7288,c_97]) ).
cnf(c_9983,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_8742,c_9054]) ).
cnf(c_10125,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_8447,c_49]) ).
cnf(c_10219,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,X1,sK21,sK21,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_9962,c_69]) ).
cnf(c_10220,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(X1,sK21,X1,X0,sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9962,c_68]) ).
cnf(c_10337,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_9983,c_51]) ).
cnf(c_10467,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ midp(X0,sK22,sK22)
| ~ coll(sK23,sK22,sK28)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_7769,c_113]) ).
cnf(c_10502,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ coll(sK23,sK22,sK28)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_10467]) ).
cnf(c_10653,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_9594,c_9660]) ).
cnf(c_11766,plain,
( ~ para(sK28,X0,sK28,sK22)
| coll(sK28,X0,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_11769,plain,
( ~ para(sK28,sK22,sK28,sK22)
| coll(sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11766]) ).
cnf(c_11853,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_7466,c_61]) ).
cnf(c_12027,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK22)
| coll(sK22,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_12028,plain,
( ~ coll(sK23,sK22,sK22)
| coll(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_12027]) ).
cnf(c_12532,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_10653,c_10337]) ).
cnf(c_12602,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_12532,c_50]) ).
cnf(c_12940,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
cnf(c_13309,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_13312,plain,
( ~ para(sK23,sK22,sK23,sK22)
| coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_13309]) ).
cnf(c_13809,plain,
( ~ eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3)
| eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_165,c_70]) ).
cnf(c_13811,plain,
( ~ eqangle(sK22,sK21,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK24,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8088,c_70]) ).
cnf(c_13812,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8223,c_70]) ).
cnf(c_13813,plain,
( ~ eqangle(sK22,sK24,sK22,sK21,X0,X1,X2,X3)
| eqangle(sK20,sK22,sK25,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8246,c_70]) ).
cnf(c_13823,plain,
( ~ eqangle(sK20,sK22,sK25,sK22,X0,X1,X2,X3)
| eqangle(sK22,sK24,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8248,c_70]) ).
cnf(c_13827,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK22,sK25,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8317,c_70]) ).
cnf(c_14054,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_12940,c_104]) ).
cnf(c_14228,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,sK22,sK24,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_88,c_13809]) ).
cnf(c_14232,plain,
eqangle(sK20,sK22,sK22,sK24,sK22,sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_8224,c_13809]) ).
cnf(c_14256,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_14232,c_87]) ).
cnf(c_14280,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,X0,X1,sK22,sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14228,c_69]) ).
cnf(c_14559,plain,
( ~ para(sK22,sK21,X0,X1)
| eqangle(sK22,sK24,sK20,sK22,X0,X1,sK25,sK22) ),
inference(superposition,[status(thm)],[c_88,c_13811]) ).
cnf(c_15203,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_14256,c_94]) ).
cnf(c_15206,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_14256,c_53]) ).
cnf(c_15239,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_15206,c_94]) ).
cnf(c_15256,plain,
( ~ coll(sK20,sK22,sK22)
| ~ midp(sK22,sK22,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_15239]) ).
cnf(c_15294,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_13812]) ).
cnf(c_15353,plain,
eqangle(sK25,sK22,sK25,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_15294,c_69]) ).
cnf(c_15355,plain,
eqangle(sK22,sK21,sK25,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_15294,c_67]) ).
cnf(c_15356,plain,
eqangle(sK22,sK25,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_15294,c_66]) ).
cnf(c_15357,plain,
para(sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15294,c_87]) ).
cnf(c_15377,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK25,X0,sK25)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_15357,c_94]) ).
cnf(c_15382,plain,
coll(sK25,sK22,sK22),
inference(superposition,[status(thm)],[c_15357,c_115]) ).
cnf(c_15395,plain,
eqangle(sK22,sK21,sK22,sK21,sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15353,c_68]) ).
cnf(c_15413,plain,
eqangle(sK21,sK22,sK25,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_15355,c_66]) ).
cnf(c_15414,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_15355,c_87]) ).
cnf(c_15442,plain,
para(sK22,sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_15356,c_87]) ).
cnf(c_15454,plain,
( ~ para(sK22,sK24,X0,X1)
| eqangle(sK20,sK22,sK25,sK22,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_88,c_13813]) ).
cnf(c_15713,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cong(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14054,c_72]) ).
cnf(c_16159,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15382,c_50]) ).
cnf(c_16166,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_16159,c_49]) ).
cnf(c_16197,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_16166,c_6977]) ).
cnf(c_16203,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_16197,c_49]) ).
cnf(c_16274,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_15414,c_94]) ).
cnf(c_16287,plain,
( ~ coll(sK21,sK22,sK21)
| ~ midp(sK22,sK22,sK22)
| midp(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_16274]) ).
cnf(c_16291,plain,
( ~ para(sK25,sK22,X0,X1)
| para(sK22,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_15442,c_54]) ).
cnf(c_16293,plain,
para(sK22,sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_15442,c_52]) ).
cnf(c_16304,plain,
( ~ para(sK25,sK22,sK22,sK22)
| para(sK22,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_16291]) ).
cnf(c_16310,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_12602,c_49]) ).
cnf(c_16966,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_16203,c_50]) ).
cnf(c_17136,plain,
eqangle(sK21,sK22,sK22,sK21,sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15395,c_66]) ).
cnf(c_17182,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_15413,c_87]) ).
cnf(c_17606,plain,
( ~ midp(sK25,sK22,sK25)
| midp(sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_8048,c_15377]) ).
cnf(c_17651,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK22,sK24,sK22,sK21,sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_14280,c_68]) ).
cnf(c_18189,plain,
( ~ para(sK22,sK21,X0,X1)
| eqangle(sK22,sK24,X0,X1,sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_14559,c_69]) ).
cnf(c_18473,plain,
( ~ para(sK22,sK24,X0,X1)
| eqangle(X0,X1,sK22,sK21,sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_15454,c_68]) ).
cnf(c_18915,plain,
( ~ para(sK22,sK25,sK22,sK25)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_16293,c_113]) ).
cnf(c_18925,plain,
( ~ midp(X0,sK22,sK22)
| midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18915,c_16293]) ).
cnf(c_18928,plain,
( ~ midp(sK22,sK22,sK22)
| midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_18925]) ).
cnf(c_19345,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_17182,c_94]) ).
cnf(c_19349,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_17182,c_52]) ).
cnf(c_19362,plain,
( ~ coll(sK22,sK22,sK21)
| ~ midp(sK21,sK22,sK22)
| midp(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_19345]) ).
cnf(c_19651,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_16310,c_9057]) ).
cnf(c_20757,plain,
eqangle(sK22,sK24,sK22,sK21,sK22,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_8246,c_13823]) ).
cnf(c_20827,plain,
( ~ coll(sK22,sK22,sK21)
| cyclic(sK24,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_20757,c_91]) ).
cnf(c_20833,plain,
cyclic(sK24,sK21,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_20827,c_9162]) ).
cnf(c_20915,plain,
( ~ cyclic(sK24,sK21,sK22,X0)
| cyclic(sK21,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_20833,c_65]) ).
cnf(c_20923,plain,
( ~ cyclic(sK24,sK21,sK22,sK22)
| cyclic(sK21,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_20915]) ).
cnf(c_20968,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_9768]) ).
cnf(c_21130,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK22,sK25,sK22,sK21,X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14228,c_13827]) ).
cnf(c_21158,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(X0,X1,sK22,sK21,sK22,sK25,sK22,sK21) ),
inference(superposition,[status(thm)],[c_21130,c_68]) ).
cnf(c_21237,plain,
( ~ coll(sK28,X0,X1)
| ~ coll(sK28,X0,sK22)
| coll(sK22,X1,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_21238,plain,
( ~ coll(sK28,sK22,sK22)
| coll(sK22,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_21237]) ).
cnf(c_22678,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_10219,c_123]) ).
cnf(c_22731,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_22678]) ).
cnf(c_22809,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_10220,c_122]) ).
cnf(c_22882,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_22809]) ).
cnf(c_24519,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_16966,c_8307]) ).
cnf(c_24621,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_24519,c_50]) ).
cnf(c_24646,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_24621,c_49]) ).
cnf(c_24675,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_24646,c_50]) ).
cnf(c_25229,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7466,c_7788]) ).
cnf(c_25250,plain,
( ~ coll(sK20,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_25229,c_102]) ).
cnf(c_25251,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25250,c_10125]) ).
cnf(c_25375,plain,
( ~ coll(sK23,sK22,sK28)
| ~ midp(sK26,sK26,sK28)
| cong(sK22,sK26,sK22,sK26) ),
inference(superposition,[status(thm)],[c_7713,c_7823]) ).
cnf(c_25701,plain,
( ~ para(sK22,sK23,sK23,sK22)
| para(sK23,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_30676,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cyclic(sK21,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7466,c_11853]) ).
cnf(c_30711,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| cyclic(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7466,c_30676]) ).
cnf(c_30755,plain,
cyclic(sK21,sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_30711,c_20833,c_20923]) ).
cnf(c_30758,plain,
( ~ cyclic(sK21,sK22,sK22,X0)
| cyclic(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_30755,c_65]) ).
cnf(c_30766,plain,
( ~ cyclic(sK21,sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_30758]) ).
cnf(c_31487,plain,
( ~ para(sK20,sK21,sK25,sK26)
| para(sK20,sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_31519,plain,
( ~ para(sK23,X0,X1,sK23)
| para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_31520,plain,
( ~ para(sK23,sK22,sK22,sK23)
| para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_31519]) ).
cnf(c_32647,plain,
eqangle(sK25,sK22,sK25,sK22,sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_17136,c_68]) ).
cnf(c_34992,plain,
( ~ eqangle(sK28,X0,X1,X2,sK28,sK22,X1,X2)
| para(sK28,X0,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_34993,plain,
( ~ eqangle(sK28,sK22,sK22,sK22,sK28,sK22,sK22,sK22)
| para(sK28,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_34992]) ).
cnf(c_37785,plain,
midp(sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_17606,c_174,c_177,c_232,c_6797,c_6857,c_20833,c_20923,c_30766]) ).
cnf(c_40924,plain,
cong(sK20,sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_15713,c_174,c_177,c_232,c_2190,c_6788,c_6797,c_6857,c_7569,c_7610,c_7657,c_7656,c_7889,c_8303,c_9638,c_12028,c_13312,c_16287,c_20833,c_20923,c_20968,c_25701,c_30766,c_31520]) ).
cnf(c_40928,plain,
( ~ coll(sK20,sK22,sK21)
| midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_40924,c_116]) ).
cnf(c_40930,plain,
cong(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_40924,c_72]) ).
cnf(c_40935,plain,
midp(sK20,sK22,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_40928,c_19651]) ).
cnf(c_41164,plain,
( ~ para(sK25,sK26,sK20,sK21)
| para(sK20,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_42589,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_42590,plain,
( ~ eqangle(sK22,sK22,sK28,sK22,sK22,sK22,sK28,sK22)
| eqangle(sK28,sK22,sK22,sK22,sK28,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_42589]) ).
cnf(c_46604,plain,
midp(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_40935,c_59]) ).
cnf(c_46612,plain,
( ~ midp(X0,sK21,X1)
| para(sK20,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_46604,c_93]) ).
cnf(c_46619,plain,
( ~ midp(sK22,sK21,sK22)
| para(sK20,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_46612]) ).
cnf(c_46622,plain,
( ~ cong(sK20,sK21,sK20,X0)
| circle(sK20,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_40930,c_60]) ).
cnf(c_46626,plain,
cong(sK20,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_40930,c_71]) ).
cnf(c_46644,plain,
( ~ cong(sK20,sK21,sK20,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_46622]) ).
cnf(c_49283,plain,
cong(sK22,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_46626,c_72]) ).
cnf(c_51798,plain,
perp(sK22,sK21,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_8925,c_2190,c_7569,c_7657,c_7656,c_8303,c_8925,c_9638,c_12028,c_13312,c_20968,c_25701,c_31520]) ).
cnf(c_51803,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_51798,c_55]) ).
cnf(c_51922,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_51803,c_104]) ).
cnf(c_52816,plain,
( ~ cong(sK20,sK21,X0,X1)
| cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_49283,c_73]) ).
cnf(c_52821,plain,
( ~ cong(sK20,sK21,sK22,sK22)
| cong(sK22,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_52816]) ).
cnf(c_53311,plain,
( ~ perp(sK21,sK22,sK22,sK21)
| perp(sK25,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_32647,c_123]) ).
cnf(c_55806,plain,
( ~ midp(sK20,sK21,sK22)
| midp(sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_9713,c_15203]) ).
cnf(c_55810,plain,
( ~ midp(sK20,sK25,sK22)
| midp(sK22,sK25,sK20) ),
inference(superposition,[status(thm)],[c_24675,c_15203]) ).
cnf(c_55929,plain,
( ~ midp(sK22,sK22,sK22)
| midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8446,c_16274]) ).
cnf(c_55948,plain,
midp(sK21,sK22,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_55929,c_37785]) ).
cnf(c_56441,plain,
midp(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_55948,c_59]) ).
cnf(c_56465,plain,
( ~ coll(sK23,sK20,sK22)
| circle(sK20,sK21,sK22,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25229,c_56441]) ).
cnf(c_56565,plain,
circle(sK20,sK21,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_56465,c_174,c_177,c_232,c_2190,c_6788,c_6797,c_6857,c_7569,c_7657,c_7656,c_7889,c_8303,c_9638,c_9824,c_12028,c_13312,c_16287,c_20833,c_20923,c_20968,c_25701,c_30766,c_31520,c_46644]) ).
cnf(c_56567,plain,
( ~ coll(sK20,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56565,c_102]) ).
cnf(c_56571,plain,
perp(sK21,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56567,c_10125]) ).
cnf(c_56843,plain,
( ~ midp(sK22,sK22,sK22)
| cong(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_56571,c_104]) ).
cnf(c_56851,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56571,c_7515]) ).
cnf(c_56856,plain,
cong(sK21,sK22,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56843,c_37785]) ).
cnf(c_56975,plain,
( ~ coll(sK21,sK22,sK22)
| midp(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_56856,c_116]) ).
cnf(c_56988,plain,
midp(sK21,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_56975,c_9161]) ).
cnf(c_57109,plain,
para(sK20,sK21,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_56851,c_2190,c_7553,c_7569,c_7657,c_7656,c_8303,c_9638,c_12028,c_13312,c_20968,c_25251,c_25701,c_31520,c_56441]) ).
cnf(c_57115,plain,
para(sK22,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_57109,c_53]) ).
cnf(c_57134,plain,
para(sK22,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_57115,c_52]) ).
cnf(c_57398,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK22,X0,sK21)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_57134,c_94]) ).
cnf(c_57416,plain,
( ~ coll(sK22,sK22,sK20)
| ~ midp(sK22,sK22,sK21)
| midp(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_57398]) ).
cnf(c_58980,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_58993,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_58980,c_72]) ).
cnf(c_59386,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
cnf(c_59508,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_59386,c_2190,c_2359,c_7569,c_7657,c_7656,c_8303,c_9638,c_12028,c_13312,c_20968,c_25701,c_31520]) ).
cnf(c_59510,plain,
( ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_59508,c_104]) ).
cnf(c_59812,plain,
cong(sK20,sK21,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_59510,c_174,c_177,c_232,c_2190,c_6788,c_6797,c_6857,c_7569,c_7657,c_7656,c_7889,c_8303,c_9638,c_9824,c_12028,c_13312,c_16287,c_20833,c_20923,c_20968,c_25701,c_30766,c_31520]) ).
cnf(c_59818,plain,
( ~ cong(sK20,sK22,X0,X1)
| cong(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_59812,c_73]) ).
cnf(c_60112,plain,
( ~ midp(sK22,X0,sK20)
| cong(sK20,sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_58993,c_59818]) ).
cnf(c_60126,plain,
( ~ midp(sK22,sK22,sK20)
| cong(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60112]) ).
cnf(c_60224,plain,
eqangle(sK25,sK22,sK22,sK21,sK20,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_165,c_68]) ).
cnf(c_64260,plain,
( ~ eqangle(sK20,sK22,sK22,sK24,X0,X1,X2,X3)
| eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_60224,c_70]) ).
cnf(c_65356,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_64260]) ).
cnf(c_65416,plain,
eqangle(sK25,sK22,sK25,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_65356,c_69]) ).
cnf(c_66802,plain,
( ~ perp(sK22,sK21,sK22,sK21)
| perp(sK25,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_65416,c_123]) ).
cnf(c_68209,plain,
( ~ midp(X0,sK26,sK21)
| ~ midp(X0,sK25,sK20)
| para(sK25,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_68210,plain,
( ~ midp(sK22,sK26,sK21)
| ~ midp(sK22,sK25,sK20)
| para(sK25,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_68209]) ).
cnf(c_70836,plain,
cong(sK21,sK21,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_8192,c_2190,c_7569,c_7657,c_7656,c_8192,c_8303,c_9638,c_12028,c_13312,c_20968,c_25701,c_31520,c_46604,c_55806]) ).
cnf(c_70852,plain,
cong(sK21,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_70836,c_72]) ).
cnf(c_71053,plain,
( ~ coll(sK21,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_70852,c_116]) ).
cnf(c_71065,plain,
midp(sK21,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_71053,c_6873]) ).
cnf(c_71508,plain,
cong(sK22,sK20,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_8923,c_51922,c_71065]) ).
cnf(c_71530,plain,
cong(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_71508,c_72]) ).
cnf(c_72392,plain,
( ~ cong(sK22,sK20,X0,X1)
| cong(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_71530,c_73]) ).
cnf(c_72447,plain,
( ~ cong(sK22,sK20,sK22,sK22)
| cong(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72392]) ).
cnf(c_75353,plain,
( ~ para(sK25,sK22,X0,X1)
| eqangle(sK20,sK22,sK25,sK22,sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_17651,c_13813]) ).
cnf(c_75648,plain,
( ~ para(sK20,sK22,X0,X1)
| ~ para(sK25,sK22,X0,X1)
| para(sK20,sK22,sK25,sK22) ),
inference(superposition,[status(thm)],[c_75353,c_122]) ).
cnf(c_75675,plain,
( ~ para(sK20,sK22,sK22,sK22)
| ~ para(sK25,sK22,sK22,sK22)
| para(sK20,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_75648]) ).
cnf(c_75790,plain,
( ~ cong(X0,sK21,X0,sK22)
| ~ coll(X0,sK21,sK22)
| midp(X0,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_75791,plain,
( ~ cong(sK22,sK21,sK22,sK22)
| ~ coll(sK22,sK21,sK22)
| midp(sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_75790]) ).
cnf(c_75956,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_75957,plain,
( ~ para(sK22,sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK26)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_75956]) ).
cnf(c_75969,plain,
( ~ midp(X0,sK26,sK26)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_75970,plain,
( ~ midp(sK22,sK26,sK26)
| cong(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_75969]) ).
cnf(c_77491,plain,
( ~ para(sK22,sK21,X0,X1)
| ~ para(sK20,sK22,sK25,sK22)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_18189,c_122]) ).
cnf(c_77530,plain,
( ~ para(sK20,sK22,sK25,sK22)
| ~ para(sK22,sK21,sK22,sK22)
| para(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_77491]) ).
cnf(c_79256,plain,
( ~ para(sK22,sK24,X0,X1)
| ~ para(sK20,sK22,sK25,sK22)
| para(X0,X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_18473,c_122]) ).
cnf(c_79313,plain,
( ~ para(sK20,sK22,sK25,sK22)
| ~ para(sK22,sK24,sK22,sK22)
| para(sK22,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_79256]) ).
cnf(c_79839,plain,
perp(sK25,sK22,sK25,sK22),
inference(global_subsumption_just,[status(thm)],[c_66802,c_174,c_177,c_232,c_2190,c_6788,c_6797,c_6857,c_7569,c_7657,c_7656,c_7889,c_8303,c_9638,c_9824,c_12028,c_13312,c_16287,c_20833,c_20923,c_20968,c_22731,c_25251,c_25701,c_30766,c_31520,c_46644,c_53311,c_56441]) ).
cnf(c_79841,plain,
( ~ perp(sK25,sK22,X0,X1)
| para(sK25,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_79839,c_57]) ).
cnf(c_79844,plain,
perp(sK25,sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_79839,c_55]) ).
cnf(c_79849,plain,
( ~ perp(sK25,sK22,sK22,sK22)
| para(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_79841]) ).
cnf(c_82438,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_82439,plain,
( ~ para(sK22,sK22,sK22,sK21)
| ~ coll(sK22,sK26,sK21)
| ~ midp(sK22,sK26,sK22)
| midp(sK22,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_82438]) ).
cnf(c_84311,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_84312,plain,
( ~ para(sK22,sK25,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK25)
| ~ midp(sK20,sK22,sK22)
| midp(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_84311]) ).
cnf(c_87252,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK26)
| para(X0,X1,X4,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_87253,plain,
( ~ perp(sK22,sK22,sK22,sK26)
| ~ perp(sK22,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_87252]) ).
cnf(c_87799,plain,
( ~ cong(sK25,X0,X0,X0)
| ~ cong(sK25,X1,X0,X1)
| perp(sK25,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_87800,plain,
( ~ cong(sK25,sK22,sK22,sK22)
| perp(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_87799]) ).
cnf(c_87879,plain,
( ~ midp(X0,X1,sK26)
| midp(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_87880,plain,
( ~ midp(sK22,sK22,sK26)
| midp(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_87879]) ).
cnf(c_89434,plain,
( ~ para(sK25,sK22,X0,X1)
| para(X0,X1,sK22,sK25) ),
inference(superposition,[status(thm)],[c_21158,c_87]) ).
cnf(c_89485,plain,
( ~ para(sK25,sK22,sK22,sK22)
| para(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_89434]) ).
cnf(c_91358,plain,
( ~ coll(sK23,sK22,sK28)
| cong(sK22,sK26,sK22,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_25375,c_174,c_177,c_232,c_6797,c_6857,c_7769,c_10502,c_20833,c_20923,c_30766,c_75970]) ).
cnf(c_91380,plain,
( ~ cong(sK22,X0,sK22,X0)
| ~ coll(sK23,sK22,sK28)
| perp(sK22,sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_91358,c_105]) ).
cnf(c_91465,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK23,sK22,sK28)
| perp(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_91380]) ).
cnf(c_95981,plain,
( ~ midp(X0,sK25,sK25)
| cong(sK25,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_79844,c_101]) ).
cnf(c_95996,plain,
( ~ midp(sK22,sK25,sK25)
| cong(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_95981]) ).
cnf(c_144717,plain,
( ~ para(X0,X1,X0,X2)
| eqangle(X0,X1,sK28,X1,X0,X2,sK28,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_144718,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK28,sK22,sK22,sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_144717]) ).
cnf(c_144719,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_144718,c_95996,c_91465,c_89485,c_87880,c_87800,c_87253,c_84312,c_82439,c_79849,c_79313,c_77530,c_75957,c_75791,c_75675,c_72447,c_68210,c_60126,c_57416,c_56988,c_55810,c_52821,c_46644,c_46619,c_42590,c_41164,c_34993,c_31520,c_31487,c_30766,c_25701,c_22882,c_21238,c_20968,c_20923,c_20833,c_19362,c_19349,c_18928,c_16304,c_16287,c_15256,c_13312,c_12028,c_11769,c_9824,c_9638,c_8841,c_8313,c_8303,c_8286,c_8050,c_7889,c_7656,c_7657,c_7589,c_7569,c_7335,c_7180,c_7123,c_6902,c_6857,c_6797,c_6788,c_6733,c_6631,c_2190,c_232,c_183,c_177,c_174,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:06:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 32.83/5.25 % SZS status Started for theBenchmark.p
% 32.83/5.25 % SZS status Theorem for theBenchmark.p
% 32.83/5.25
% 32.83/5.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.83/5.25
% 32.83/5.25 ------ iProver source info
% 32.83/5.25
% 32.83/5.25 git: date: 2023-05-31 18:12:56 +0000
% 32.83/5.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.83/5.25 git: non_committed_changes: false
% 32.83/5.25 git: last_make_outside_of_git: false
% 32.83/5.25
% 32.83/5.25 ------ Parsing...
% 32.83/5.25 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.83/5.25
% 32.83/5.25 ------ 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
% 32.83/5.25
% 32.83/5.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.83/5.25
% 32.83/5.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.83/5.25 ------ Proving...
% 32.83/5.25 ------ Problem Properties
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25 clauses 119
% 32.83/5.25 conjectures 7
% 32.83/5.25 EPR 82
% 32.83/5.25 Horn 109
% 32.83/5.25 unary 7
% 32.83/5.25 binary 37
% 32.83/5.25 lits 335
% 32.83/5.25 lits eq 4
% 32.83/5.25 fd_pure 0
% 32.83/5.25 fd_pseudo 0
% 32.83/5.25 fd_cond 0
% 32.83/5.25 fd_pseudo_cond 4
% 32.83/5.25 AC symbols 0
% 32.83/5.25
% 32.83/5.25 ------ Schedule dynamic 5 is on
% 32.83/5.25
% 32.83/5.25 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25 ------
% 32.83/5.25 Current options:
% 32.83/5.25 ------
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25 ------ Proving...
% 32.83/5.25
% 32.83/5.25
% 32.83/5.25 % SZS status Theorem for theBenchmark.p
% 32.83/5.25
% 32.83/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.83/5.25
% 32.83/5.25
%------------------------------------------------------------------------------