TSTP Solution File: GEO580+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:17:54 EDT 2024
% Result : Theorem 38.56s 6.23s
% Output : CNFRefutation 38.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 45
% Syntax : Number of formulae : 607 ( 183 unt; 0 def)
% Number of atoms : 1408 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 1411 ( 610 ~; 601 |; 130 &)
% ( 0 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 1379 ( 0 sgn 949 !; 29 ?)
% 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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/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(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(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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/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(f83,axiom,
! [X0,X1,X2,X3,X6,X16,X9] :
? [X8] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> midp(X8,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( midp(X13,X2,X1)
& coll(X12,X0,X3)
& perp(X12,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( midp(X13,X2,X1)
& coll(X12,X0,X3)
& perp(X12,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X12,X13) ),
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(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(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(f155,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
inference(rectify,[],[f83]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X6,X7) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(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(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(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(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(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(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f296,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f155]) ).
fof(f297,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f296]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f319]) ).
fof(f333,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( midp(X7,X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) )
=> ( midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f297,f333]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ cyclic(sK24,sK25,sK26,sK27)
& midp(sK27,sK22,sK21)
& coll(sK26,sK20,sK23)
& perp(sK26,sK22,sK20,sK23)
& coll(sK25,sK20,sK23)
& perp(sK25,sK21,sK20,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK24,sK25,sK26,sK27)
& midp(sK27,sK22,sK21)
& coll(sK26,sK20,sK23)
& perp(sK26,sK22,sK20,sK23)
& coll(sK25,sK20,sK23)
& perp(sK25,sK21,sK20,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[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(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(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(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(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(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
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(f449,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6)
| ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f334]) ).
fof(f473,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
perp(sK25,sK21,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
perp(sK26,sK22,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
midp(sK27,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
~ cyclic(sK24,sK25,sK26,sK27),
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_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
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_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_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_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_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_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
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_138,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X3,X1,X2)
| ~ midp(X4,X1,X2)
| ~ midp(X5,X0,X3)
| midp(sK6(X1,X2,X0,X3,X4,X5,X6),X1,X6) ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f483]) ).
cnf(c_163,negated_conjecture,
midp(sK27,sK22,sK21),
inference(cnf_transformation,[],[f482]) ).
cnf(c_164,negated_conjecture,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
perp(sK26,sK22,sK20,sK23),
inference(cnf_transformation,[],[f480]) ).
cnf(c_166,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
perp(sK25,sK21,sK20,sK23),
inference(cnf_transformation,[],[f478]) ).
cnf(c_168,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_169,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_170,negated_conjecture,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_171,negated_conjecture,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_172,negated_conjecture,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_178,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_187,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_4298,negated_conjecture,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(demodulation,[status(thm)],[c_172]) ).
cnf(c_4299,negated_conjecture,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(demodulation,[status(thm)],[c_171]) ).
cnf(c_4300,negated_conjecture,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(demodulation,[status(thm)],[c_170]) ).
cnf(c_4301,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_169]) ).
cnf(c_4302,negated_conjecture,
coll(sK24,sK21,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
cnf(c_4303,negated_conjecture,
perp(sK25,sK21,sK20,sK23),
inference(demodulation,[status(thm)],[c_167]) ).
cnf(c_4304,negated_conjecture,
coll(sK25,sK20,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_4305,negated_conjecture,
perp(sK26,sK22,sK20,sK23),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_4306,negated_conjecture,
coll(sK26,sK20,sK23),
inference(demodulation,[status(thm)],[c_164]) ).
cnf(c_4307,negated_conjecture,
midp(sK27,sK22,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_5866,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_4306,c_49]) ).
cnf(c_5867,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_4304,c_49]) ).
cnf(c_5868,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_4302,c_49]) ).
cnf(c_5873,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_4306,c_50]) ).
cnf(c_5875,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_4302,c_50]) ).
cnf(c_5880,plain,
midp(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_4307,c_59]) ).
cnf(c_5885,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_4307,c_118]) ).
cnf(c_5886,plain,
coll(sK23,sK26,sK20),
inference(superposition,[status(thm)],[c_5866,c_50]) ).
cnf(c_5890,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_5868,c_50]) ).
cnf(c_5897,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_5875,c_49]) ).
cnf(c_5898,plain,
coll(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_5880,c_118]) ).
cnf(c_5900,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_5885,c_50]) ).
cnf(c_5907,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_5890,c_49]) ).
cnf(c_5930,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_5898,c_50]) ).
cnf(c_5933,plain,
coll(sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_5900,c_49]) ).
cnf(c_5941,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_5930,c_49]) ).
cnf(c_5952,plain,
perp(sK24,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_4301,c_55]) ).
cnf(c_5958,plain,
perp(sK20,sK23,sK26,sK22),
inference(superposition,[status(thm)],[c_4305,c_56]) ).
cnf(c_5959,plain,
perp(sK20,sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_4303,c_56]) ).
cnf(c_5960,plain,
perp(sK21,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_4301,c_56]) ).
cnf(c_5976,plain,
perp(sK22,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_5952,c_56]) ).
cnf(c_5979,plain,
perp(sK20,sK23,sK22,sK26),
inference(superposition,[status(thm)],[c_5958,c_55]) ).
cnf(c_5981,plain,
perp(sK20,sK23,sK21,sK25),
inference(superposition,[status(thm)],[c_5959,c_55]) ).
cnf(c_5989,plain,
perp(sK22,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_5976,c_55]) ).
cnf(c_6024,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK23,X0,sK26) ),
inference(superposition,[status(thm)],[c_4306,c_51]) ).
cnf(c_6026,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_4302,c_51]) ).
cnf(c_6027,plain,
( ~ coll(sK26,sK23,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_5866,c_51]) ).
cnf(c_6028,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_5867,c_51]) ).
cnf(c_6029,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_5868,c_51]) ).
cnf(c_6030,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_5873,c_51]) ).
cnf(c_6032,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_5875,c_51]) ).
cnf(c_6034,plain,
( ~ coll(sK23,sK26,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_5886,c_51]) ).
cnf(c_6039,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_5897,c_51]) ).
cnf(c_6044,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_5907,c_51]) ).
cnf(c_6046,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK27,X0,sK22) ),
inference(superposition,[status(thm)],[c_5933,c_51]) ).
cnf(c_6047,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_5941,c_51]) ).
cnf(c_6096,plain,
( ~ coll(sK21,sK22,sK20)
| coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6047]) ).
cnf(c_6113,plain,
( ~ coll(sK25,sK23,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6028]) ).
cnf(c_6114,plain,
( ~ coll(sK26,sK23,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_6027]) ).
cnf(c_6128,plain,
coll(sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_4306,c_6024]) ).
cnf(c_6129,plain,
( ~ coll(sK23,sK23,X0)
| coll(sK26,X0,sK23) ),
inference(superposition,[status(thm)],[c_6128,c_51]) ).
cnf(c_6131,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_6128,c_49]) ).
cnf(c_6155,plain,
( ~ coll(sK23,sK26,X0)
| coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_6131,c_51]) ).
cnf(c_6171,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5866,c_6027]) ).
cnf(c_6207,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6171,c_49]) ).
cnf(c_6227,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5868,c_6029]) ).
cnf(c_6230,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6227,c_49]) ).
cnf(c_6238,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_5873,c_6030]) ).
cnf(c_6254,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5875,c_6032]) ).
cnf(c_6284,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6207,c_51]) ).
cnf(c_6287,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_6207,c_6030]) ).
cnf(c_6290,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6284]) ).
cnf(c_6301,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_6230,c_6032]) ).
cnf(c_6326,plain,
coll(sK26,sK26,sK23),
inference(superposition,[status(thm)],[c_6128,c_6129]) ).
cnf(c_6329,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK23,X0,sK26) ),
inference(superposition,[status(thm)],[c_6326,c_51]) ).
cnf(c_6351,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(sK27,sK22,sK21)
| para(sK22,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_6394,plain,
( ~ midp(X0,sK22,X1)
| para(sK27,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4307,c_93]) ).
cnf(c_6395,plain,
( ~ midp(X0,sK21,X1)
| para(sK27,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_5880,c_93]) ).
cnf(c_6416,plain,
( ~ midp(sK27,X0,X1)
| para(sK22,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4307,c_112]) ).
cnf(c_6417,plain,
( ~ midp(sK27,X0,X1)
| para(sK21,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_5880,c_112]) ).
cnf(c_6439,plain,
( ~ para(sK22,X0,sK21,X1)
| ~ para(sK22,X1,sK21,X0)
| ~ midp(sK27,sK22,sK21)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_6442,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_6287,c_50]) ).
cnf(c_6461,plain,
( ~ midp(X0,sK22,X1)
| para(sK21,X1,sK27,X0) ),
inference(superposition,[status(thm)],[c_6394,c_53]) ).
cnf(c_6473,plain,
( ~ midp(sK27,X0,X1)
| para(sK21,X1,sK22,X0) ),
inference(superposition,[status(thm)],[c_6416,c_53]) ).
cnf(c_6474,plain,
( ~ midp(sK27,X0,X1)
| para(sK22,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6416,c_52]) ).
cnf(c_6522,plain,
( ~ midp(X0,sK22,X1)
| para(sK21,X1,X0,sK27) ),
inference(superposition,[status(thm)],[c_6461,c_52]) ).
cnf(c_6598,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_6301,c_51]) ).
cnf(c_6599,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_6301,c_50]) ).
cnf(c_6603,plain,
( ~ coll(sK22,sK21,sK20)
| coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_6706,plain,
( ~ midp(sK22,sK20,sK23)
| cong(sK26,sK20,sK26,sK23) ),
inference(superposition,[status(thm)],[c_4305,c_104]) ).
cnf(c_6708,plain,
( ~ midp(sK20,sK21,sK22)
| cong(sK24,sK21,sK24,sK22) ),
inference(superposition,[status(thm)],[c_4301,c_104]) ).
cnf(c_6717,plain,
( ~ midp(sK21,sK24,sK20)
| cong(sK22,sK24,sK22,sK20) ),
inference(superposition,[status(thm)],[c_5976,c_104]) ).
cnf(c_6843,plain,
( ~ midp(X0,X1,X2)
| ~ coll(X1,sK22,sK21)
| ~ coll(X2,sK22,sK21)
| ~ midp(sK27,sK22,sK21)
| midp(sK6(sK22,sK21,X1,X2,sK27,X0,X3),sK22,X3) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_6854,plain,
( ~ perp(sK20,sK23,X0,X1)
| para(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4305,c_57]) ).
cnf(c_6856,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_4301,c_57]) ).
cnf(c_6860,plain,
( ~ perp(sK26,sK22,X0,X1)
| para(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5958,c_57]) ).
cnf(c_6980,plain,
( ~ para(sK21,X0,sK22,X1)
| ~ para(sK21,X1,sK22,X0)
| ~ midp(sK27,sK21,sK22)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_6981,plain,
( ~ para(sK21,sK20,sK22,sK20)
| ~ midp(sK27,sK21,sK22)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6980]) ).
cnf(c_6997,plain,
( ~ perp(sK21,X0,X1,X2)
| ~ midp(sK27,X3,X0)
| perp(sK22,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_6416,c_58]) ).
cnf(c_7035,plain,
( ~ coll(sK20,sK23,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6442,c_51]) ).
cnf(c_7064,plain,
( ~ midp(sK22,sK20,sK23)
| cong(sK26,sK23,sK26,sK20) ),
inference(superposition,[status(thm)],[c_6706,c_72]) ).
cnf(c_7120,plain,
( ~ midp(sK20,sK21,sK22)
| cong(sK24,sK22,sK24,sK21) ),
inference(superposition,[status(thm)],[c_6708,c_72]) ).
cnf(c_7139,plain,
para(sK26,sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_5979,c_6854]) ).
cnf(c_7164,plain,
( ~ cong(sK26,sK20,sK26,X0)
| ~ midp(sK22,sK20,sK23)
| circle(sK26,sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_6706,c_60]) ).
cnf(c_7166,plain,
( ~ cong(sK24,sK21,sK24,X0)
| ~ midp(sK20,sK21,sK22)
| circle(sK24,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_6708,c_60]) ).
cnf(c_7210,plain,
( ~ cong(sK26,sK23,X0,X1)
| ~ midp(sK22,sK20,sK23)
| cong(sK26,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6706,c_73]) ).
cnf(c_7212,plain,
( ~ cong(sK24,sK22,X0,X1)
| ~ midp(sK20,sK21,sK22)
| cong(sK24,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6708,c_73]) ).
cnf(c_7267,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_5960,c_6856]) ).
cnf(c_7301,plain,
para(sK22,sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_7139,c_53]) ).
cnf(c_7374,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4298,c_66]) ).
cnf(c_7392,plain,
( ~ eqangle(X0,X1,X2,X3,sK24,sK20,sK22,sK21)
| ~ perp(sK24,sK20,sK22,sK21)
| perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_7406,plain,
eqangle(sK22,sK20,sK23,sK22,sK22,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_4300,c_67]) ).
cnf(c_7407,plain,
eqangle(sK21,sK22,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_4299,c_67]) ).
cnf(c_7408,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_4298,c_67]) ).
cnf(c_7465,plain,
para(sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7406,c_87]) ).
cnf(c_7467,plain,
eqangle(sK22,sK21,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_7407,c_66]) ).
cnf(c_7468,plain,
para(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7407,c_87]) ).
cnf(c_7470,plain,
eqangle(sK21,sK20,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_7408,c_66]) ).
cnf(c_7471,plain,
para(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7408,c_87]) ).
cnf(c_7486,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_7267,c_115]) ).
cnf(c_7503,plain,
eqangle(sK23,sK22,sK22,sK21,sK23,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_4300,c_68]) ).
cnf(c_7504,plain,
eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_4299,c_68]) ).
cnf(c_7505,plain,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4298,c_68]) ).
cnf(c_7508,plain,
eqangle(sK23,sK20,sK20,sK22,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_7374,c_68]) ).
cnf(c_7543,plain,
eqangle(sK23,sK22,sK23,sK22,sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_4300,c_69]) ).
cnf(c_7545,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_4298,c_69]) ).
cnf(c_7551,plain,
eqangle(sK20,sK21,sK20,sK22,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7408,c_69]) ).
cnf(c_7657,plain,
( ~ perp(sK22,sK21,X0,X1)
| perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7465,c_58]) ).
cnf(c_7660,plain,
para(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7465,c_52]) ).
cnf(c_7661,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7465,c_115]) ).
cnf(c_7697,plain,
( ~ midp(sK27,sK22,sK21)
| ~ midp(sK27,sK21,sK22)
| para(sK22,sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6351]) ).
cnf(c_7787,plain,
para(sK21,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7468,c_53]) ).
cnf(c_7789,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7468,c_115]) ).
cnf(c_7803,plain,
para(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7471,c_53]) ).
cnf(c_7859,plain,
para(sK22,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_7467,c_87]) ).
cnf(c_7877,plain,
para(sK21,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7470,c_87]) ).
cnf(c_8122,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK22,X2)
| ~ midp(sK27,X1,sK21)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6394,c_94]) ).
cnf(c_8123,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK27,X0,X2)
| ~ midp(sK22,X1,sK21)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6416,c_94]) ).
cnf(c_8124,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ midp(sK27,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6395,c_94]) ).
cnf(c_8125,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK27,X0,X2)
| ~ midp(sK21,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6417,c_94]) ).
cnf(c_8126,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X2,sK22,X0)
| ~ midp(sK21,X1,sK27)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6461,c_94]) ).
cnf(c_8128,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK27,X2,X0)
| ~ midp(sK21,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6473,c_94]) ).
cnf(c_8129,plain,
( ~ coll(X0,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ midp(sK22,X1,X2)
| midp(X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6474,c_94]) ).
cnf(c_8142,plain,
( ~ coll(sK21,X0,sK22)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7471,c_94]) ).
cnf(c_8214,plain,
( ~ coll(sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8142]) ).
cnf(c_8443,plain,
( ~ coll(X0,X1,sK22)
| coll(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8444,plain,
( ~ coll(sK20,sK20,sK22)
| coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8443]) ).
cnf(c_8539,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_7486,c_50]) ).
cnf(c_8733,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7661,c_50]) ).
cnf(c_8734,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7661,c_49]) ).
cnf(c_9168,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7789,c_51]) ).
cnf(c_9170,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7789,c_49]) ).
cnf(c_9171,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_7789,c_6039]) ).
cnf(c_9174,plain,
( ~ coll(sK21,sK22,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9168]) ).
cnf(c_9441,plain,
( ~ para(sK22,X0,sK21,X1)
| ~ midp(sK27,X1,X0)
| ~ midp(X2,sK22,sK21)
| midp(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_6416,c_113]) ).
cnf(c_9459,plain,
( ~ para(sK21,sK20,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7468,c_113]) ).
cnf(c_9460,plain,
( ~ para(sK20,sK22,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7471,c_113]) ).
cnf(c_9535,plain,
( ~ para(sK20,sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_9460]) ).
cnf(c_9536,plain,
( ~ para(sK21,sK20,sK21,sK22)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9459]) ).
cnf(c_9576,plain,
( ~ para(sK22,sK20,sK22,sK21)
| para(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7543,c_122]) ).
cnf(c_9644,plain,
para(sK23,sK22,sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_9576,c_7465]) ).
cnf(c_9788,plain,
( ~ perp(sK22,sK20,sK22,sK21)
| perp(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7543,c_123]) ).
cnf(c_10052,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_8733,c_51]) ).
cnf(c_10057,plain,
( ~ coll(sK20,sK22,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10052]) ).
cnf(c_10113,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_5933,c_6046]) ).
cnf(c_10267,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_8734,c_51]) ).
cnf(c_10270,plain,
coll(sK27,sK20,sK22),
inference(superposition,[status(thm)],[c_8734,c_6046]) ).
cnf(c_10271,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_8734,c_6044]) ).
cnf(c_10274,plain,
( ~ coll(sK22,sK21,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10267]) ).
cnf(c_10327,plain,
( ~ coll(sK24,sK22,sK21)
| ~ midp(sK20,sK21,sK22)
| midp(sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7120,c_116]) ).
cnf(c_10334,plain,
( ~ midp(sK20,sK21,sK22)
| midp(sK24,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10327,c_5868]) ).
cnf(c_10397,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_4305,c_6860]) ).
cnf(c_10404,plain,
( ~ coll(sK23,X0,sK23)
| ~ midp(sK20,X0,sK20)
| midp(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_10397,c_94]) ).
cnf(c_10619,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_9171,c_49]) ).
cnf(c_10945,plain,
( ~ coll(sK22,sK22,sK21)
| ~ coll(sK21,sK22,sK21)
| ~ midp(sK27,sK22,sK21)
| midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,X0),sK22,X0) ),
inference(instantiation,[status(thm)],[c_6843]) ).
cnf(c_10946,plain,
( ~ coll(sK22,sK22,sK21)
| ~ coll(sK21,sK22,sK21)
| ~ midp(sK27,sK22,sK21)
| midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,sK20),sK22,sK20) ),
inference(instantiation,[status(thm)],[c_10945]) ).
cnf(c_11166,plain,
coll(sK27,sK22,sK27),
inference(superposition,[status(thm)],[c_10113,c_49]) ).
cnf(c_11185,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_10270,c_49]) ).
cnf(c_11437,plain,
( ~ para(sK21,sK22,X0,X1)
| ~ para(sK22,sK21,sK21,sK22)
| para(sK22,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_11451,plain,
( ~ para(sK22,sK21,sK21,sK22)
| ~ para(sK21,sK22,sK20,sK20)
| para(sK22,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11437]) ).
cnf(c_11459,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_10271,c_50]) ).
cnf(c_11460,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_10271,c_49]) ).
cnf(c_11879,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_10619,c_6026]) ).
cnf(c_11894,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_11879,c_49]) ).
cnf(c_12217,plain,
( ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4298,c_70]) ).
cnf(c_12224,plain,
( ~ eqangle(sK23,sK22,sK22,sK20,X0,X1,X2,X3)
| eqangle(sK23,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7503,c_70]) ).
cnf(c_12225,plain,
( ~ eqangle(sK23,sK21,sK21,sK22,X0,X1,X2,X3)
| eqangle(sK23,sK21,sK21,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7504,c_70]) ).
cnf(c_12229,plain,
( ~ eqangle(sK20,sK21,sK20,sK22,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7545,c_70]) ).
cnf(c_12537,plain,
( ~ coll(sK27,sK22,X0)
| coll(sK27,X0,sK27) ),
inference(superposition,[status(thm)],[c_11166,c_51]) ).
cnf(c_12550,plain,
( ~ coll(sK27,sK22,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_11185,c_51]) ).
cnf(c_12556,plain,
( ~ coll(sK27,sK22,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_12550]) ).
cnf(c_12686,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7505,c_12217]) ).
cnf(c_12687,plain,
eqangle(sK23,sK20,sK20,sK21,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_7508,c_12217]) ).
cnf(c_13286,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_11459,c_51]) ).
cnf(c_13291,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13286]) ).
cnf(c_13295,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_11460,c_6029]) ).
cnf(c_13324,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_12686,c_67]) ).
cnf(c_13333,plain,
eqangle(sK20,sK23,sK20,sK21,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_12687,c_66]) ).
cnf(c_15288,plain,
( ~ midp(sK20,sK21,sK22)
| circle(sK24,sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_6708,c_7166]) ).
cnf(c_15306,plain,
( ~ coll(sK24,sK21,sK22)
| ~ midp(sK20,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_15288,c_102]) ).
cnf(c_15307,plain,
( ~ midp(sK20,sK21,sK22)
| perp(sK21,sK22,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15306,c_4302]) ).
cnf(c_15324,plain,
( ~ midp(X0,sK21,sK22)
| ~ midp(sK20,sK21,sK22)
| cong(sK21,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_15307,c_101]) ).
cnf(c_15325,plain,
( ~ midp(sK20,sK21,sK22)
| para(sK24,sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_15307,c_6856]) ).
cnf(c_15361,plain,
( ~ midp(sK20,sK21,sK22)
| cong(sK21,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_15324]) ).
cnf(c_15524,plain,
( ~ para(sK22,sK22,X0,X1)
| ~ midp(sK20,sK21,sK22)
| para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_15325,c_54]) ).
cnf(c_15543,plain,
( ~ para(sK22,sK22,sK20,sK20)
| ~ midp(sK20,sK21,sK22)
| para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15524]) ).
cnf(c_15681,plain,
( ~ cong(sK21,X0,sK22,X0)
| ~ midp(X1,sK21,sK22)
| ~ midp(sK20,sK21,sK22)
| perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_15324,c_105]) ).
cnf(c_15698,plain,
( ~ cong(sK21,sK20,sK22,sK20)
| ~ midp(sK20,sK21,sK22)
| perp(sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15681]) ).
cnf(c_15889,plain,
( ~ midp(sK22,sK20,sK23)
| cong(sK26,sK20,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7064,c_7210]) ).
cnf(c_16038,plain,
( ~ midp(sK20,sK21,sK22)
| cong(sK24,sK21,sK24,sK21) ),
inference(superposition,[status(thm)],[c_7120,c_7212]) ).
cnf(c_17688,plain,
( ~ midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,X0),X1,X2)
| ~ midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,X0),sK22,X0)
| para(sK22,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_17995,plain,
( ~ midp(sK27,sK21,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_9170,c_8123]) ).
cnf(c_18592,plain,
( ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17995,c_5880]) ).
cnf(c_19984,plain,
eqangle(sK23,sK22,sK22,sK21,sK23,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_4300,c_12224]) ).
cnf(c_20134,plain,
eqangle(sK23,sK22,sK23,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_19984,c_69]) ).
cnf(c_20142,plain,
( ~ perp(sK22,sK21,sK22,sK21)
| perp(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_20134,c_123]) ).
cnf(c_20386,plain,
eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_4299,c_12225]) ).
cnf(c_20413,plain,
eqangle(sK21,sK20,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_20386,c_67]) ).
cnf(c_20462,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_20413,c_87]) ).
cnf(c_20922,plain,
eqangle(sK23,sK20,sK23,sK20,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7551,c_12229]) ).
cnf(c_21286,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(sK27,X1,X0)
| ~ midp(X2,sK22,sK21)
| midp(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_6416,c_9441]) ).
cnf(c_21301,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(X2,sK22,sK21)
| midp(X2,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21286,c_59]) ).
cnf(c_23880,plain,
para(sK22,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_7301,c_52]) ).
cnf(c_24071,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK21)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7660,c_94]) ).
cnf(c_24074,plain,
para(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7660,c_53]) ).
cnf(c_24088,plain,
( ~ coll(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_24071]) ).
cnf(c_24108,plain,
para(sK21,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7787,c_52]) ).
cnf(c_24706,plain,
( ~ para(sK20,sK21,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7803,c_113]) ).
cnf(c_24707,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7803,c_94]) ).
cnf(c_24720,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24706,c_7471]) ).
cnf(c_24726,plain,
( ~ coll(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24707]) ).
cnf(c_24805,plain,
( ~ coll(sK21,X0,sK20)
| ~ midp(sK22,X0,sK21)
| midp(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_7859,c_94]) ).
cnf(c_24822,plain,
( ~ coll(sK21,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24805]) ).
cnf(c_24829,plain,
para(sK21,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7877,c_52]) ).
cnf(c_25993,plain,
coll(sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_9644,c_115]) ).
cnf(c_26177,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_25993,c_50]) ).
cnf(c_26516,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_20462,c_115]) ).
cnf(c_27064,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_26516,c_50]) ).
cnf(c_27404,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_27064,c_49]) ).
cnf(c_27747,plain,
coll(sK22,sK26,sK26),
inference(superposition,[status(thm)],[c_23880,c_115]) ).
cnf(c_27980,plain,
coll(sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_27747,c_50]) ).
cnf(c_28343,plain,
coll(sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_27980,c_49]) ).
cnf(c_28657,plain,
coll(sK23,sK22,sK26),
inference(superposition,[status(thm)],[c_28343,c_6329]) ).
cnf(c_28933,plain,
( ~ para(sK22,X0,sK21,sK27)
| ~ para(sK22,sK27,sK21,X0)
| ~ midp(sK27,sK22,sK21)
| midp(sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_6439]) ).
cnf(c_28934,plain,
( ~ para(sK22,sK27,sK21,sK20)
| ~ para(sK22,sK20,sK21,sK27)
| ~ midp(sK27,sK22,sK21)
| midp(sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_28933]) ).
cnf(c_29127,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK21,sK22,X0,X1)
| para(sK21,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_29131,plain,
( ~ perp(sK21,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29127]) ).
cnf(c_29406,plain,
coll(sK23,sK26,sK22),
inference(superposition,[status(thm)],[c_28657,c_49]) ).
cnf(c_29740,plain,
( ~ para(sK24,sK20,X0,X1)
| para(X0,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_29741,plain,
( ~ para(sK24,sK20,sK20,sK20)
| para(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_29740]) ).
cnf(c_30249,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_29406,c_6155]) ).
cnf(c_30250,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_29406,c_6034]) ).
cnf(c_30405,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_13324,c_87]) ).
cnf(c_30485,plain,
( ~ coll(sK20,sK20,sK21)
| cyclic(sK23,sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_13333,c_91]) ).
cnf(c_30489,plain,
cyclic(sK23,sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_30485,c_27404]) ).
cnf(c_31101,plain,
( ~ midp(sK20,sK22,sK20)
| midp(sK23,sK22,sK23) ),
inference(superposition,[status(thm)],[c_30249,c_10404]) ).
cnf(c_31117,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_30250,c_50]) ).
cnf(c_31118,plain,
coll(sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_30250,c_49]) ).
cnf(c_32156,plain,
( ~ coll(sK23,sK23,sK20)
| cyclic(sK20,sK20,sK23,sK23) ),
inference(superposition,[status(thm)],[c_20922,c_91]) ).
cnf(c_32158,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK20,sK20,sK23,sK23)
| cong(sK20,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_20922,c_92]) ).
cnf(c_32165,plain,
cyclic(sK20,sK20,sK23,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_32156,c_6238]) ).
cnf(c_32173,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32158,c_32165]) ).
cnf(c_32179,plain,
cyclic(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_32165,c_63]) ).
cnf(c_32372,plain,
( ~ midp(sK27,sK20,sK21)
| ~ midp(sK22,sK22,sK23)
| midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_31117,c_8122]) ).
cnf(c_32391,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_31118,c_7035]) ).
cnf(c_32803,plain,
( ~ para(X0,X1,sK24,sK20)
| eqangle(X0,X1,sK22,sK21,sK24,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_32804,plain,
( ~ eqangle(X0,X1,sK22,sK21,sK24,sK20,sK22,sK21)
| ~ perp(sK24,sK20,sK22,sK21)
| perp(X0,X1,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_7392]) ).
cnf(c_32805,plain,
( ~ para(sK20,sK20,sK24,sK20)
| eqangle(sK20,sK20,sK22,sK21,sK24,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_32803]) ).
cnf(c_32806,plain,
( ~ eqangle(sK20,sK20,sK22,sK21,sK24,sK20,sK22,sK21)
| ~ perp(sK24,sK20,sK22,sK21)
| perp(sK20,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_32804]) ).
cnf(c_33039,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_32391,c_49]) ).
cnf(c_33320,plain,
( ~ coll(X0,X1,sK27)
| ~ midp(X2,sK22,X0)
| ~ midp(sK21,X1,X2)
| midp(X0,X1,sK27) ),
inference(superposition,[status(thm)],[c_6522,c_94]) ).
cnf(c_33357,plain,
( ~ coll(sK20,sK20,sK27)
| ~ midp(sK21,sK20,sK20)
| ~ midp(sK20,sK22,sK20)
| midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_33320]) ).
cnf(c_34004,plain,
( ~ midp(X0,X1,sK27)
| ~ midp(sK22,X1,sK21)
| para(sK22,X0,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_34005,plain,
( ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK27)
| para(sK22,sK20,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_34004]) ).
cnf(c_37835,plain,
( ~ midp(sK22,sK20,sK23)
| circle(sK26,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_15889,c_7164]) ).
cnf(c_38027,plain,
( ~ midp(sK20,sK21,sK22)
| circle(sK24,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_16038,c_7166]) ).
cnf(c_39004,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK21,X0,sK22)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_24074,c_94]) ).
cnf(c_39028,plain,
( ~ coll(sK22,sK20,sK20)
| ~ midp(sK21,sK20,sK22)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39004]) ).
cnf(c_39036,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK22)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_24108,c_94]) ).
cnf(c_39058,plain,
( ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK22)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_39036]) ).
cnf(c_39528,plain,
( ~ midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,X0),sK22,X0)
| para(sK22,sK22,X0,X0) ),
inference(instantiation,[status(thm)],[c_17688]) ).
cnf(c_39529,plain,
( ~ midp(sK6(sK22,sK21,sK22,sK21,sK27,sK27,sK20),sK22,sK20)
| para(sK22,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39528]) ).
cnf(c_39933,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_30405,c_113]) ).
cnf(c_39943,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39933,c_30405]) ).
cnf(c_39946,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_39943]) ).
cnf(c_39950,plain,
cyclic(sK21,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_30489,c_64]) ).
cnf(c_40050,plain,
cyclic(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_32179,c_64]) ).
cnf(c_40098,plain,
( ~ coll(sK26,sK20,sK23)
| ~ midp(sK22,sK20,sK23)
| perp(sK20,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_37835,c_102]) ).
cnf(c_40099,plain,
( ~ midp(sK22,sK20,sK23)
| perp(sK20,sK20,sK20,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40098,c_4306]) ).
cnf(c_40106,plain,
( ~ perp(sK20,sK23,X0,X1)
| ~ midp(sK22,sK20,sK23)
| para(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_40099,c_57]) ).
cnf(c_40595,plain,
( ~ cyclic(sK21,sK23,sK20,X0)
| cyclic(sK23,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_39950,c_65]) ).
cnf(c_40603,plain,
( ~ cyclic(sK21,sK23,sK20,sK20)
| cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40595]) ).
cnf(c_40644,plain,
( ~ midp(sK22,sK20,sK23)
| para(sK20,sK20,sK22,sK26) ),
inference(superposition,[status(thm)],[c_5979,c_40106]) ).
cnf(c_40645,plain,
( ~ midp(sK22,sK20,sK23)
| para(sK20,sK20,sK21,sK25) ),
inference(superposition,[status(thm)],[c_5981,c_40106]) ).
cnf(c_41575,plain,
( ~ cyclic(sK23,sK20,sK20,X0)
| cyclic(sK20,sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_40050,c_65]) ).
cnf(c_41584,plain,
( ~ cyclic(sK23,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_41575]) ).
cnf(c_42063,plain,
( ~ midp(sK24,sK21,sK21)
| ~ midp(sK27,sK22,sK22)
| midp(sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_5868,c_8124]) ).
cnf(c_45402,plain,
midp(sK24,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_42063,c_178,c_6207,c_6290,c_7803,c_9535,c_10334,c_32173,c_39950,c_40603,c_41584]) ).
cnf(c_45482,plain,
( ~ midp(sK27,sK22,sK21)
| ~ midp(sK21,sK20,sK22)
| midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7661,c_8125]) ).
cnf(c_47240,plain,
( ~ midp(sK21,sK20,sK22)
| midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45482,c_4307]) ).
cnf(c_47623,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(sK22,X0,sK21)
| para(sK22,sK27,sK21,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_47624,plain,
( ~ midp(sK27,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| para(sK22,sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_47623]) ).
cnf(c_54989,plain,
( ~ para(sK22,sK21,X0,X1)
| ~ perp(X0,X1,sK22,sK21)
| perp(sK22,sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_54990,plain,
( ~ para(sK22,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK22,sK21)
| perp(sK22,sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_54989]) ).
cnf(c_55126,plain,
midp(sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_47240,c_178,c_6207,c_6290,c_7661,c_24726,c_32173,c_39950,c_40603,c_41584]) ).
cnf(c_55128,plain,
midp(sK21,sK20,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_18592,c_55126]) ).
cnf(c_55217,plain,
( ~ midp(sK24,sK22,sK21)
| ~ midp(sK21,sK20,sK27)
| midp(sK21,sK20,sK24) ),
inference(superposition,[status(thm)],[c_13295,c_8126]) ).
cnf(c_56878,plain,
( ~ midp(sK21,sK20,sK27)
| midp(sK21,sK20,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55217,c_45402]) ).
cnf(c_57221,plain,
( ~ cyclic(X0,sK24,sK25,sK26)
| ~ cyclic(X0,sK24,sK25,sK27)
| cyclic(sK24,sK25,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_57222,plain,
( ~ cyclic(sK20,sK24,sK25,sK26)
| ~ cyclic(sK20,sK24,sK25,sK27)
| cyclic(sK24,sK25,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_57221]) ).
cnf(c_59101,plain,
( ~ midp(sK27,sK22,sK20)
| ~ midp(sK21,sK20,sK22)
| midp(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_33039,c_8128]) ).
cnf(c_59122,plain,
( ~ midp(sK27,sK20,sK21)
| ~ midp(sK21,sK20,sK22)
| midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_26516,c_8128]) ).
cnf(c_60299,plain,
( ~ midp(sK27,sK20,sK21)
| midp(sK21,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59122,c_55128]) ).
cnf(c_60347,plain,
( ~ midp(sK27,sK22,sK20)
| midp(sK20,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59101,c_55128]) ).
cnf(c_65384,plain,
midp(sK21,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_60299,c_178,c_6207,c_6290,c_7661,c_8444,c_8734,c_10057,c_10274,c_24726,c_24822,c_32173,c_39950,c_40603,c_41584]) ).
cnf(c_65390,plain,
midp(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_65384,c_24720]) ).
cnf(c_65460,plain,
midp(sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_60347,c_178,c_6207,c_6290,c_7661,c_8734,c_10274,c_24088,c_24726,c_32173,c_39950,c_40603,c_41584]) ).
cnf(c_65465,plain,
midp(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_65460,c_59]) ).
cnf(c_65470,plain,
midp(sK23,sK22,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_31101,c_65465]) ).
cnf(c_65717,plain,
midp(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_65470,c_59]) ).
cnf(c_66568,plain,
coll(sK27,sK20,sK27),
inference(superposition,[status(thm)],[c_11185,c_12537]) ).
cnf(c_66589,plain,
( ~ midp(sK27,sK27,sK27)
| ~ midp(sK22,sK20,sK21)
| midp(sK27,sK20,sK27) ),
inference(superposition,[status(thm)],[c_66568,c_8123]) ).
cnf(c_66601,plain,
( ~ midp(sK27,sK27,sK27)
| midp(sK27,sK20,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66589,c_55126]) ).
cnf(c_66718,plain,
midp(sK27,sK20,sK27),
inference(global_subsumption_just,[status(thm)],[c_66601,c_163,c_178,c_5880,c_6207,c_6290,c_6981,c_7661,c_7787,c_8444,c_8734,c_9536,c_10057,c_10274,c_11185,c_12556,c_24726,c_24822,c_24829,c_28934,c_32173,c_33357,c_34005,c_39946,c_39950,c_40603,c_41584,c_47624]) ).
cnf(c_66723,plain,
midp(sK27,sK27,sK20),
inference(superposition,[status(thm)],[c_66718,c_59]) ).
cnf(c_66724,plain,
( ~ midp(X0,sK22,sK21)
| midp(X0,sK20,sK27) ),
inference(superposition,[status(thm)],[c_66718,c_21301]) ).
cnf(c_66770,plain,
( ~ coll(sK27,X0,sK21)
| ~ midp(sK22,X0,sK20)
| midp(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_66723,c_8129]) ).
cnf(c_66782,plain,
( ~ coll(sK27,sK20,sK21)
| ~ midp(sK22,sK20,sK20)
| midp(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_66770]) ).
cnf(c_67215,plain,
midp(sK21,sK20,sK27),
inference(superposition,[status(thm)],[c_65390,c_66724]) ).
cnf(c_67229,plain,
midp(sK21,sK20,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_56878,c_67215]) ).
cnf(c_67810,plain,
midp(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_67229,c_59]) ).
cnf(c_67815,plain,
cong(sK22,sK24,sK22,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_6717,c_67810]) ).
cnf(c_67953,plain,
circle(sK24,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_38027,c_178,c_6207,c_6290,c_7803,c_9535,c_32173,c_38027,c_39950,c_40603,c_41584]) ).
cnf(c_67955,plain,
( ~ coll(sK24,sK21,sK22)
| perp(sK21,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_67953,c_102]) ).
cnf(c_67956,plain,
perp(sK21,sK21,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_67955,c_4302]) ).
cnf(c_67960,plain,
perp(sK21,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_67956,c_55]) ).
cnf(c_69383,plain,
( ~ midp(sK27,X0,sK21)
| perp(sK22,X0,sK22,sK21) ),
inference(superposition,[status(thm)],[c_67960,c_6997]) ).
cnf(c_70835,plain,
( ~ coll(sK22,sK24,sK20)
| midp(sK22,sK24,sK20) ),
inference(superposition,[status(thm)],[c_67815,c_116]) ).
cnf(c_70846,plain,
midp(sK22,sK24,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_70835,c_11894]) ).
cnf(c_70912,plain,
midp(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_70846,c_59]) ).
cnf(c_72622,plain,
( ~ coll(sK20,X0,sK26)
| ~ midp(sK20,X0,sK22)
| ~ midp(sK22,sK20,sK23)
| midp(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_40644,c_94]) ).
cnf(c_72644,plain,
( ~ coll(sK20,sK20,sK26)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,sK20,sK22)
| midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_72622]) ).
cnf(c_73012,plain,
( ~ coll(sK20,X0,sK25)
| ~ midp(sK20,X0,sK21)
| ~ midp(sK22,sK20,sK23)
| midp(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_40645,c_94]) ).
cnf(c_73034,plain,
( ~ coll(sK20,sK20,sK25)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,sK20,sK21)
| midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_73012]) ).
cnf(c_73738,plain,
( ~ cong(X0,X1,X0,sK24)
| ~ cong(X0,X1,X0,sK25)
| ~ cong(X0,X1,X0,sK26)
| cyclic(X1,sK24,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_73739,plain,
( ~ cong(sK20,sK20,sK20,sK24)
| ~ cong(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK26)
| cyclic(sK20,sK24,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_73738]) ).
cnf(c_75967,plain,
( ~ midp(sK27,sK20,sK21)
| perp(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_69383,c_9788]) ).
cnf(c_78483,plain,
perp(sK23,sK22,sK23,sK22),
inference(global_subsumption_just,[status(thm)],[c_75967,c_163,c_178,c_187,c_5880,c_5952,c_6207,c_6254,c_6290,c_6599,c_7697,c_7803,c_9535,c_10946,c_11451,c_15361,c_15543,c_15698,c_20142,c_29131,c_29741,c_32173,c_32805,c_32806,c_39529,c_39950,c_40603,c_41584,c_54990]) ).
cnf(c_78488,plain,
perp(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_78483,c_55]) ).
cnf(c_78694,plain,
perp(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_78488,c_56]) ).
cnf(c_78731,plain,
( ~ midp(sK23,sK23,sK22)
| cong(sK22,sK23,sK22,sK22) ),
inference(superposition,[status(thm)],[c_78694,c_104]) ).
cnf(c_78741,plain,
cong(sK22,sK23,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_78731,c_65717]) ).
cnf(c_78801,plain,
( ~ coll(sK22,sK23,sK22)
| midp(sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_78741,c_116]) ).
cnf(c_78812,plain,
midp(sK22,sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_78801,c_26177]) ).
cnf(c_78879,plain,
midp(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_78812,c_59]) ).
cnf(c_81068,plain,
perp(sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5989,c_7657]) ).
cnf(c_81406,plain,
perp(sK20,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_81068,c_56]) ).
cnf(c_81904,plain,
perp(sK20,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_81406,c_55]) ).
cnf(c_82835,plain,
perp(sK20,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_81904,c_56]) ).
cnf(c_84611,plain,
( ~ midp(sK22,sK20,sK24)
| cong(sK20,sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_82835,c_104]) ).
cnf(c_84614,plain,
cong(sK20,sK20,sK20,sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_84611,c_70912]) ).
cnf(c_88208,plain,
( ~ midp(X0,X1,sK25)
| cong(X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_88209,plain,
( ~ midp(sK20,sK20,sK25)
| cong(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_88208]) ).
cnf(c_91818,plain,
( ~ midp(X0,X1,sK26)
| cong(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_91819,plain,
( ~ midp(sK20,sK20,sK26)
| cong(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_91818]) ).
cnf(c_92582,plain,
( ~ cong(X0,X1,X0,sK24)
| ~ cong(X0,X1,X0,sK25)
| ~ cong(X0,X1,X0,sK27)
| cyclic(X1,sK24,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_92583,plain,
( ~ cong(sK20,sK20,sK20,sK24)
| ~ cong(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK27)
| cyclic(sK20,sK24,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_92582]) ).
cnf(c_106796,plain,
( ~ midp(X0,X1,sK27)
| cong(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_106797,plain,
( ~ midp(sK20,sK20,sK27)
| cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_106796]) ).
cnf(c_106798,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_106797,c_92583,c_91819,c_88209,c_84614,c_78879,c_73739,c_73034,c_72644,c_66782,c_57222,c_41584,c_40603,c_39950,c_39946,c_39058,c_39028,c_33357,c_32372,c_32173,c_24822,c_24726,c_24088,c_13291,c_12556,c_11185,c_10274,c_10057,c_9536,c_9174,c_8734,c_8539,c_8444,c_8214,c_7787,c_7789,c_7661,c_6603,c_6290,c_6207,c_6114,c_6113,c_6096,c_5866,c_5867,c_178,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:11:01 EDT 2024
% 0.14/0.35 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.56/6.23 % SZS status Started for theBenchmark.p
% 38.56/6.23 % SZS status Theorem for theBenchmark.p
% 38.56/6.23
% 38.56/6.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.56/6.23
% 38.56/6.23 ------ iProver source info
% 38.56/6.23
% 38.56/6.23 git: date: 2024-05-02 19:28:25 +0000
% 38.56/6.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.56/6.23 git: non_committed_changes: false
% 38.56/6.23
% 38.56/6.23 ------ Parsing...
% 38.56/6.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.56/6.23
% 38.56/6.23 ------ 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
% 38.56/6.23
% 38.56/6.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.56/6.23
% 38.56/6.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.56/6.23 ------ Proving...
% 38.56/6.23 ------ Problem Properties
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23 clauses 123
% 38.56/6.23 conjectures 11
% 38.56/6.23 EPR 86
% 38.56/6.23 Horn 113
% 38.56/6.23 unary 11
% 38.56/6.23 binary 37
% 38.56/6.23 lits 339
% 38.56/6.23 lits eq 4
% 38.56/6.23 fd_pure 0
% 38.56/6.23 fd_pseudo 0
% 38.56/6.23 fd_cond 0
% 38.56/6.23 fd_pseudo_cond 4
% 38.56/6.23 AC symbols 0
% 38.56/6.23
% 38.56/6.23 ------ Schedule dynamic 5 is on
% 38.56/6.23
% 38.56/6.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23 ------
% 38.56/6.23 Current options:
% 38.56/6.23 ------
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23 ------ Proving...
% 38.56/6.23
% 38.56/6.23
% 38.56/6.23 % SZS status Theorem for theBenchmark.p
% 38.56/6.23
% 38.56/6.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.56/6.23
% 38.56/6.24
%------------------------------------------------------------------------------