TSTP Solution File: GEO613+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO613+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:18:03 EDT 2024
% Result : Theorem 180.48s 24.78s
% Output : CNFRefutation 180.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 568 ( 57 unt; 0 def)
% Number of atoms : 1436 ( 11 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 1542 ( 674 ~; 665 |; 127 &)
% ( 0 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 1655 ( 2 sgn1017 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD26) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( coll(X13,X2,X12)
& coll(X13,X0,X5)
& coll(X12,X1,X5)
& circle(X2,X1,X12,X25)
& circle(X0,X1,X5,X24)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X23)
& circle(X0,X1,X3,X22)
& circle(X2,X1,X20,X21)
& circle(X0,X1,X18,X19) )
=> eqangle(X5,X3,X3,X12,X0,X13,X13,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( coll(X13,X2,X12)
& coll(X13,X0,X5)
& coll(X12,X1,X5)
& circle(X2,X1,X12,X25)
& circle(X0,X1,X5,X24)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X23)
& circle(X0,X1,X3,X22)
& circle(X2,X1,X20,X21)
& circle(X0,X1,X18,X19) )
=> eqangle(X5,X3,X3,X12,X0,X13,X13,X2) ),
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(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f26]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
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(f126,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
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(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
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(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
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(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(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(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(f202,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f105]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f108]) ).
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(f231,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f126]) ).
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(f265,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f144]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f265]) ).
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(f282,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f282]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2)
& coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2)
& coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2)
& coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> ( ~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22)
& coll(sK27,sK22,sK26)
& coll(sK27,sK20,sK25)
& coll(sK26,sK21,sK25)
& circle(sK22,sK21,sK26,sK35)
& circle(sK20,sK21,sK25,sK34)
& midp(sK24,sK23,sK21)
& circle(sK22,sK21,sK23,sK33)
& circle(sK20,sK21,sK23,sK32)
& circle(sK22,sK21,sK30,sK31)
& circle(sK20,sK21,sK28,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22)
& coll(sK27,sK22,sK26)
& coll(sK27,sK20,sK25)
& coll(sK26,sK21,sK25)
& circle(sK22,sK21,sK26,sK35)
& circle(sK20,sK21,sK25,sK34)
& midp(sK24,sK23,sK21)
& circle(sK22,sK21,sK23,sK33)
& circle(sK20,sK21,sK23,sK32)
& circle(sK22,sK21,sK30,sK31)
& circle(sK20,sK21,sK28,sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[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(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(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(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(f385,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f202]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f205]) ).
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(f406,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f231]) ).
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(f425,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f266]) ).
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(f435,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f283]) ).
fof(f477,plain,
midp(sK24,sK23,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK26,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK27,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK27,sK22,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22),
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_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_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_74,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_77,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f388]) ).
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_95,plain,
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[],[f406]) ).
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_114,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f425]) ).
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_124,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22),
inference(cnf_transformation,[],[f483]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK22,sK26),
inference(cnf_transformation,[],[f482]) ).
cnf(c_164,negated_conjecture,
coll(sK27,sK20,sK25),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
coll(sK26,sK21,sK25),
inference(cnf_transformation,[],[f480]) ).
cnf(c_168,negated_conjecture,
midp(sK24,sK23,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_175,plain,
( ~ para(sK21,sK21,sK21,sK21)
| coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_178,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| midp(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_182,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_187,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| perp(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_203,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| cyclic(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_236,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_259,plain,
X0 = X0,
theory(equality) ).
cnf(c_263,plain,
( X0 != X1
| ~ para(X1,X2,X3,X4)
| para(X0,X2,X3,X4) ),
theory(equality) ).
cnf(c_270,plain,
sK21 = sK21,
inference(instantiation,[status(thm)],[c_259]) ).
cnf(c_276,plain,
( ~ coll(sK26,sK21,sK25)
| coll(sK26,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_280,plain,
( ~ midp(sK24,sK23,sK21)
| midp(sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_281,plain,
( ~ midp(sK24,sK23,sK21)
| coll(sK24,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_282,plain,
( ~ midp(sK24,sK23,sK21)
| cong(sK24,sK23,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_289,plain,
( ~ midp(X0,sK23,X1)
| ~ midp(sK24,sK23,sK21)
| para(X0,sK24,X1,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_291,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK24,sK23,sK21)
| para(X0,sK23,X1,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_292,plain,
( ~ midp(sK24,sK23,sK21)
| ~ midp(sK24,sK21,sK21)
| para(sK21,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_356,plain,
( ~ coll(sK26,sK25,X0)
| ~ coll(sK26,sK25,sK21)
| coll(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_357,plain,
( ~ coll(sK26,sK25,sK21)
| coll(sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_385,plain,
( ~ midp(sK24,sK21,sK23)
| cong(sK24,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_392,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK24,sK21,sK23)
| para(X0,sK21,X1,sK23) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_393,plain,
( ~ midp(sK24,sK21,sK23)
| ~ midp(sK24,sK21,sK21)
| para(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_408,plain,
( ~ circle(sK24,sK23,X0,sK21)
| ~ coll(sK24,sK23,sK21)
| perp(sK23,X0,X0,sK21) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_411,plain,
( ~ circle(sK24,sK23,sK21,sK21)
| ~ coll(sK24,sK23,sK21)
| perp(sK23,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_408]) ).
cnf(c_416,plain,
( ~ cong(sK24,sK23,sK24,X0)
| ~ cong(sK24,sK23,sK24,sK21)
| circle(sK24,sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_417,plain,
( ~ cong(sK24,sK23,sK24,sK21)
| circle(sK24,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_416]) ).
cnf(c_422,plain,
( ~ cong(X0,X1,sK24,sK23)
| ~ cong(sK24,sK23,sK24,sK21)
| cong(X0,X1,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_500,plain,
coll(sK27,sK25,sK20),
inference(resolution,[status(thm)],[c_49,c_164]) ).
cnf(c_501,plain,
coll(sK26,sK25,sK21),
inference(resolution,[status(thm)],[c_49,c_165]) ).
cnf(c_548,plain,
coll(sK21,sK26,sK25),
inference(resolution,[status(thm)],[c_50,c_165]) ).
cnf(c_556,plain,
midp(sK24,sK21,sK23),
inference(resolution,[status(thm)],[c_59,c_168]) ).
cnf(c_590,plain,
coll(sK24,sK23,sK21),
inference(resolution,[status(thm)],[c_118,c_168]) ).
cnf(c_697,plain,
coll(sK24,sK21,sK23),
inference(resolution,[status(thm)],[c_556,c_118]) ).
cnf(c_701,plain,
coll(sK23,sK24,sK21),
inference(resolution,[status(thm)],[c_590,c_50]) ).
cnf(c_709,plain,
( ~ midp(sK24,sK23,sK21)
| para(sK24,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_710,plain,
( ~ midp(sK24,sK23,sK21)
| para(sK23,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_748,plain,
coll(sK21,sK24,sK23),
inference(resolution,[status(thm)],[c_697,c_50]) ).
cnf(c_859,plain,
( ~ coll(sK27,sK20,X0)
| coll(X0,sK25,sK27) ),
inference(resolution,[status(thm)],[c_51,c_164]) ).
cnf(c_861,plain,
( ~ coll(sK26,sK21,X0)
| coll(X0,sK25,sK26) ),
inference(resolution,[status(thm)],[c_51,c_165]) ).
cnf(c_864,plain,
( ~ coll(sK27,sK25,X0)
| coll(X0,sK20,sK27) ),
inference(resolution,[status(thm)],[c_51,c_500]) ).
cnf(c_866,plain,
( ~ coll(sK26,sK25,X0)
| coll(X0,sK21,sK26) ),
inference(resolution,[status(thm)],[c_51,c_501]) ).
cnf(c_871,plain,
( ~ coll(sK21,sK26,X0)
| coll(X0,sK25,sK21) ),
inference(resolution,[status(thm)],[c_51,c_548]) ).
cnf(c_873,plain,
( ~ coll(sK24,sK23,X0)
| coll(X0,sK21,sK24) ),
inference(resolution,[status(thm)],[c_51,c_590]) ).
cnf(c_887,plain,
( ~ coll(sK23,sK24,X0)
| coll(X0,sK21,sK23) ),
inference(resolution,[status(thm)],[c_51,c_701]) ).
cnf(c_894,plain,
( ~ coll(sK21,sK24,X0)
| coll(X0,sK23,sK21) ),
inference(resolution,[status(thm)],[c_51,c_748]) ).
cnf(c_895,plain,
( ~ coll(sK21,sK24,sK21)
| coll(sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_995,plain,
coll(sK25,sK25,sK27),
inference(resolution,[status(thm)],[c_859,c_164]) ).
cnf(c_1007,plain,
( ~ coll(sK25,sK25,X0)
| coll(X0,sK27,sK25) ),
inference(resolution,[status(thm)],[c_995,c_51]) ).
cnf(c_1012,plain,
( ~ para(sK24,sK24,sK21,sK21)
| para(sK21,sK21,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1020,plain,
( ~ para(X0,X1,sK24,sK24)
| ~ para(sK24,sK24,sK21,sK21)
| para(X0,X1,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1021,plain,
( ~ para(sK21,sK21,sK24,sK24)
| ~ para(sK24,sK24,sK21,sK21)
| para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_1020]) ).
cnf(c_1036,plain,
coll(sK25,sK25,sK26),
inference(resolution,[status(thm)],[c_861,c_165]) ).
cnf(c_1041,plain,
( ~ coll(sK25,sK25,X0)
| coll(X0,sK26,sK25) ),
inference(resolution,[status(thm)],[c_1036,c_51]) ).
cnf(c_1061,plain,
( ~ para(sK23,sK23,sK21,sK21)
| ~ para(sK23,sK21,sK21,sK23)
| ~ midp(X0,sK23,sK21)
| midp(X0,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_1062,plain,
( ~ para(sK23,sK23,sK21,sK21)
| ~ para(sK23,sK21,sK21,sK23)
| ~ midp(sK21,sK23,sK21)
| midp(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_1061]) ).
cnf(c_1174,plain,
coll(sK20,sK20,sK27),
inference(resolution,[status(thm)],[c_864,c_500]) ).
cnf(c_1177,plain,
coll(sK20,sK27,sK20),
inference(resolution,[status(thm)],[c_1174,c_49]) ).
cnf(c_1185,plain,
coll(sK21,sK21,sK26),
inference(resolution,[status(thm)],[c_866,c_501]) ).
cnf(c_1188,plain,
coll(sK21,sK26,sK21),
inference(resolution,[status(thm)],[c_1185,c_49]) ).
cnf(c_1190,plain,
( ~ coll(sK21,sK21,X0)
| coll(X0,sK26,sK21) ),
inference(resolution,[status(thm)],[c_1185,c_51]) ).
cnf(c_1255,plain,
coll(sK25,sK25,sK21),
inference(resolution,[status(thm)],[c_871,c_548]) ).
cnf(c_1266,plain,
coll(sK21,sK21,sK24),
inference(resolution,[status(thm)],[c_873,c_590]) ).
cnf(c_1276,plain,
coll(sK21,sK24,sK21),
inference(resolution,[status(thm)],[c_1266,c_49]) ).
cnf(c_1320,plain,
( ~ cong(sK24,sK21,sK24,X0)
| ~ cong(sK24,sK21,sK24,X1)
| ~ cong(sK24,sK21,sK24,sK23)
| cyclic(sK21,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_1321,plain,
( ~ cong(sK24,sK21,sK24,sK23)
| ~ cong(sK24,sK21,sK24,sK21)
| cyclic(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_1320]) ).
cnf(c_1377,plain,
coll(sK21,sK27,sK25),
inference(resolution,[status(thm)],[c_1007,c_1255]) ).
cnf(c_1397,plain,
coll(sK26,sK26,sK25),
inference(resolution,[status(thm)],[c_1041,c_1036]) ).
cnf(c_1411,plain,
( ~ coll(sK23,X0,X1)
| coll(sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1425,plain,
( ~ coll(X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1426,plain,
( ~ coll(sK21,sK23,sK21)
| coll(sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_1425]) ).
cnf(c_1478,plain,
( ~ coll(sK20,sK27,X0)
| coll(X0,sK20,sK20) ),
inference(resolution,[status(thm)],[c_1177,c_51]) ).
cnf(c_1479,plain,
( ~ coll(sK20,sK27,sK21)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1478]) ).
cnf(c_1537,plain,
coll(sK24,sK21,sK21),
inference(resolution,[status(thm)],[c_1276,c_50]) ).
cnf(c_1542,plain,
( ~ coll(sK27,X0,sK25)
| coll(sK27,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1543,plain,
( ~ coll(sK27,sK21,sK25)
| coll(sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_1542]) ).
cnf(c_1569,plain,
( ~ coll(sK20,X0,sK27)
| coll(sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1570,plain,
( ~ coll(sK20,sK21,sK27)
| coll(sK20,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_1569]) ).
cnf(c_1610,plain,
coll(sK27,sK21,sK25),
inference(resolution,[status(thm)],[c_1377,c_50]) ).
cnf(c_1656,plain,
coll(sK27,sK26,sK22),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_1658,plain,
( ~ midp(sK24,sK23,sK21)
| ~ midp(sK24,sK21,sK23)
| para(sK23,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_1666,plain,
( ~ cong(sK24,X0,sK24,sK23)
| ~ cong(sK24,sK23,sK24,sK21)
| cong(sK24,X0,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_1668,plain,
( ~ cong(sK24,sK23,sK24,sK21)
| ~ cong(sK24,sK21,sK24,sK23)
| cong(sK24,sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_1666]) ).
cnf(c_1670,plain,
coll(sK27,sK25,sK20),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_1683,plain,
coll(sK26,sK25,sK21),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_1762,plain,
coll(sK22,sK27,sK26),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_1764,plain,
coll(sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_1877,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK25,X0,sK27) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
cnf(c_1878,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK25,X0,sK26) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_1879,plain,
( ~ coll(sK27,sK26,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_1656,c_51]) ).
cnf(c_1880,plain,
( ~ coll(sK27,sK25,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_1670,c_51]) ).
cnf(c_1881,plain,
( ~ coll(sK26,sK25,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_1683,c_51]) ).
cnf(c_1882,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_1762,c_51]) ).
cnf(c_1884,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_1764,c_51]) ).
cnf(c_1920,plain,
( ~ coll(sK27,sK25,sK21)
| coll(sK20,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_1880]) ).
cnf(c_2338,plain,
coll(sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_164,c_1877]) ).
cnf(c_2343,plain,
coll(sK21,sK21,sK23),
inference(resolution,[status(thm)],[c_887,c_701]) ).
cnf(c_2358,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK27,X0,sK25) ),
inference(superposition,[status(thm)],[c_2338,c_51]) ).
cnf(c_2443,plain,
coll(sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_165,c_1878]) ).
cnf(c_2619,plain,
( ~ midp(sK24,X0,X1)
| para(X0,sK23,X1,sK21) ),
inference(resolution,[status(thm)],[c_112,c_168]) ).
cnf(c_2621,plain,
( ~ midp(sK24,X0,X1)
| para(X0,sK21,X1,sK23) ),
inference(resolution,[status(thm)],[c_112,c_556]) ).
cnf(c_2629,plain,
( ~ midp(sK24,X0,X1)
| para(X0,sK23,sK21,X1) ),
inference(resolution,[status(thm)],[c_2619,c_52]) ).
cnf(c_2919,plain,
( ~ midp(sK24,sK21,X0)
| coll(sK21,sK23,X0) ),
inference(resolution,[status(thm)],[c_2629,c_115]) ).
cnf(c_3085,plain,
coll(sK23,sK26,sK21),
inference(resolution,[status(thm)],[c_1190,c_2343]) ).
cnf(c_3190,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK20)
| coll(sK20,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3191,plain,
( ~ coll(sK21,sK21,sK20)
| ~ coll(sK21,sK21,sK21)
| coll(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_3190]) ).
cnf(c_3539,plain,
( ~ cong(X0,sK23,X0,X1)
| ~ coll(X0,sK23,X1)
| midp(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3541,plain,
( ~ cong(sK24,X0,sK24,X1)
| ~ coll(sK24,X0,X1)
| midp(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3542,plain,
( ~ cong(sK24,sK21,sK24,sK21)
| ~ coll(sK24,sK21,sK21)
| midp(sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_3541]) ).
cnf(c_3585,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_1764,c_1884]) ).
cnf(c_3685,plain,
( ~ perp(sK23,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK23,X1,sK23,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_3686,plain,
( ~ perp(sK23,sK21,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| cong(sK23,sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_3685]) ).
cnf(c_3798,plain,
( X0 != X1
| ~ midp(sK24,X1,X2)
| para(X0,sK23,X2,sK21) ),
inference(resolution,[status(thm)],[c_263,c_2619]) ).
cnf(c_3801,plain,
( X0 != X1
| ~ midp(sK24,X1,X2)
| para(X0,sK21,X2,sK23) ),
inference(resolution,[status(thm)],[c_263,c_2621]) ).
cnf(c_4071,plain,
( X0 != sK21
| para(X0,sK23,sK23,sK21) ),
inference(resolution,[status(thm)],[c_3798,c_556]) ).
cnf(c_4160,plain,
( X0 != sK21
| para(X0,sK23,sK21,sK23) ),
inference(resolution,[status(thm)],[c_4071,c_52]) ).
cnf(c_4163,plain,
( sK21 != sK21
| para(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_4160]) ).
cnf(c_4196,plain,
coll(sK27,sK26,sK25),
inference(superposition,[status(thm)],[c_2443,c_2358]) ).
cnf(c_4197,plain,
coll(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_3585,c_2358]) ).
cnf(c_4235,plain,
coll(sK22,sK25,sK27),
inference(superposition,[status(thm)],[c_4196,c_1879]) ).
cnf(c_4299,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_4197,c_49]) ).
cnf(c_4386,plain,
( ~ para(X0,X1,X2,sK23)
| ~ para(X0,sK23,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK23,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_4387,plain,
( ~ para(sK21,sK23,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_4386]) ).
cnf(c_4406,plain,
coll(sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_4235,c_49]) ).
cnf(c_4511,plain,
coll(sK20,sK21,sK27),
inference(superposition,[status(thm)],[c_4299,c_1880]) ).
cnf(c_4582,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_4511,c_49]) ).
cnf(c_4668,plain,
( ~ eqangle(sK23,sK25,sK23,sK26,sK20,sK27,sK27,sK22)
| eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_4806,plain,
coll(sK21,sK23,sK23),
inference(resolution,[status(thm)],[c_2919,c_556]) ).
cnf(c_4815,plain,
coll(sK26,sK25,sK22),
inference(superposition,[status(thm)],[c_4406,c_1882]) ).
cnf(c_4857,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_4815,c_1881]) ).
cnf(c_4948,plain,
( ~ eqangle(sK20,sK27,sK27,sK22,sK23,sK25,sK23,sK26)
| eqangle(sK23,sK25,sK23,sK26,sK20,sK27,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_5198,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_4857,c_49]) ).
cnf(c_5340,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_4582,c_51]) ).
cnf(c_5344,plain,
( ~ coll(sK20,sK27,sK21)
| coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_5340]) ).
cnf(c_5513,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_5198,c_51]) ).
cnf(c_5517,plain,
( ~ coll(sK21,sK26,sK21)
| coll(sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5513]) ).
cnf(c_5798,plain,
( X0 != sK23
| para(X0,sK21,sK21,sK23) ),
inference(resolution,[status(thm)],[c_3801,c_168]) ).
cnf(c_6656,plain,
( ~ cong(sK23,X0,sK23,X1)
| ~ coll(sK23,X0,X1)
| midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_6657,plain,
( ~ cong(sK23,sK21,sK23,sK21)
| ~ coll(sK23,sK21,sK21)
| midp(sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6656]) ).
cnf(c_6684,plain,
( ~ cong(X0,sK21,X0,sK26)
| ~ coll(X0,sK21,sK26)
| midp(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_6685,plain,
( ~ cong(sK21,sK21,sK21,sK26)
| ~ coll(sK21,sK21,sK26)
| midp(sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_6684]) ).
cnf(c_8852,plain,
( X0 != sK23
| ~ midp(X0,X1,sK21)
| ~ coll(sK21,X1,sK23)
| midp(sK21,X1,sK23) ),
inference(resolution,[status(thm)],[c_94,c_5798]) ).
cnf(c_9071,plain,
( ~ midp(X0,sK23,X1)
| cong(X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_9079,plain,
( ~ cong(X0,sK23,X0,sK23)
| ~ coll(X0,sK23,sK23)
| midp(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_3539]) ).
cnf(c_9080,plain,
( ~ perp(X0,X0,X0,X1)
| ~ midp(sK23,X0,X1)
| cong(X0,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9081,plain,
( ~ cong(sK21,sK23,sK21,sK23)
| ~ coll(sK21,sK23,sK23)
| midp(sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_9079]) ).
cnf(c_9082,plain,
( ~ perp(sK21,sK21,sK21,sK21)
| ~ midp(sK23,sK21,sK21)
| cong(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_9080]) ).
cnf(c_9235,plain,
( ~ midp(X0,X1,sK23)
| cong(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_9236,plain,
( ~ midp(sK21,sK21,sK23)
| cong(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_9235]) ).
cnf(c_10341,plain,
( sK24 != sK23
| ~ coll(sK21,sK23,sK23)
| midp(sK21,sK23,sK23) ),
inference(resolution,[status(thm)],[c_8852,c_168]) ).
cnf(c_10372,plain,
( ~ coll(sK23,sK26,sK21)
| coll(sK23,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_1411]) ).
cnf(c_10876,plain,
midp(sK21,sK23,sK23),
inference(global_subsumption_just,[status(thm)],[c_10341,c_168,c_175,c_178,c_182,c_187,c_203,c_236,c_281,c_282,c_411,c_417,c_709,c_895,c_1012,c_1021,c_1276,c_1426,c_3686,c_4806,c_6657,c_9081,c_9082]) ).
cnf(c_10933,plain,
( ~ midp(sK21,X0,X1)
| para(X0,sK23,X1,sK23) ),
inference(resolution,[status(thm)],[c_10876,c_112]) ).
cnf(c_11005,plain,
( ~ midp(sK21,X0,X0)
| coll(X0,sK23,sK23) ),
inference(resolution,[status(thm)],[c_10933,c_115]) ).
cnf(c_13005,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK25,sK23,sK26)
| ~ eqangle(sK20,sK27,sK27,sK22,X0,X1,X2,X3)
| eqangle(sK20,sK27,sK27,sK22,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_13006,plain,
( ~ eqangle(sK20,sK27,sK27,sK22,sK21,sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK23,sK25,sK23,sK26)
| eqangle(sK20,sK27,sK27,sK22,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_13005]) ).
cnf(c_13810,plain,
coll(sK23,sK23,sK23),
inference(resolution,[status(thm)],[c_11005,c_10876]) ).
cnf(c_14939,plain,
( ~ eqangle(sK20,sK27,X0,X1,sK27,sK22,X2,X3)
| eqangle(sK20,sK27,sK27,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_14940,plain,
( ~ eqangle(sK20,sK27,sK21,sK21,sK27,sK22,sK21,sK21)
| eqangle(sK20,sK27,sK27,sK22,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_14939]) ).
cnf(c_16050,plain,
( ~ cong(sK21,sK22,sK22,sK21)
| cong(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_16079,plain,
( ~ cong(sK21,sK20,sK20,sK21)
| cong(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_17999,plain,
( ~ coll(sK23,X0,sK26)
| coll(sK26,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_18000,plain,
( ~ coll(sK23,sK21,sK26)
| coll(sK26,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_17999]) ).
cnf(c_33728,plain,
( ~ cong(X0,sK21,X1,X2)
| ~ cong(X1,X2,X0,sK26)
| cong(X0,sK21,X0,sK26) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_35020,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK20,sK27,X0,X1)
| para(sK20,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_35024,plain,
( ~ perp(sK20,sK27,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK20,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_35020]) ).
cnf(c_41553,plain,
( ~ cong(X0,sK23,X0,sK26)
| ~ cong(X0,sK21,X0,sK23)
| cong(X0,sK21,X0,sK26) ),
inference(instantiation,[status(thm)],[c_33728]) ).
cnf(c_41556,plain,
( ~ midp(X0,sK23,sK26)
| cong(X0,sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_9071]) ).
cnf(c_41557,plain,
( ~ cong(sK21,sK23,sK21,sK26)
| ~ cong(sK21,sK21,sK21,sK23)
| cong(sK21,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_41553]) ).
cnf(c_41558,plain,
( ~ midp(sK21,sK23,sK26)
| cong(sK21,sK23,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_41556]) ).
cnf(c_41690,plain,
( ~ eqratio(sK22,sK21,X0,X1,sK22,X2,X3,X4)
| eqratio(sK22,sK21,sK22,X2,X0,X1,X3,X4) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_41691,plain,
( ~ eqratio(sK22,sK21,sK21,sK21,sK22,sK21,sK21,sK21)
| eqratio(sK22,sK21,sK22,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_41690]) ).
cnf(c_41765,plain,
( ~ cyclic(X0,sK21,sK26,X1)
| cyclic(X0,sK21,X1,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_41766,plain,
( ~ cyclic(sK21,sK21,sK26,sK21)
| cyclic(sK21,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_41765]) ).
cnf(c_47638,plain,
( ~ para(sK23,sK26,X0,X1)
| eqangle(sK23,sK26,sK25,sK23,X0,X1,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_48707,plain,
( ~ eqangle(sK23,sK26,X0,X1,X2,X3,X0,X1)
| para(sK23,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_49342,plain,
( ~ eqangle(X0,X1,sK23,sK25,X2,X3,sK23,sK26)
| eqangle(X0,X1,X2,X3,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_49343,plain,
( ~ eqangle(sK21,sK21,sK23,sK25,sK21,sK21,sK23,sK26)
| eqangle(sK21,sK21,sK21,sK21,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_49342]) ).
cnf(c_49454,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,sK25,sK23)
| eqangle(X1,X0,X2,X3,sK23,sK26,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_49551,plain,
( ~ eqangle(X0,X1,X2,X3,sK27,sK22,X4,X5)
| ~ eqangle(sK20,sK27,X6,X7,X0,X1,X2,X3)
| eqangle(sK20,sK27,X6,X7,sK27,sK22,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_49552,plain,
( ~ eqangle(sK20,sK27,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK27,sK22,sK21,sK21)
| eqangle(sK20,sK27,sK21,sK21,sK27,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_49551]) ).
cnf(c_52077,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK23,sK25)
| para(X0,X1,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_52081,plain,
( ~ perp(sK21,sK21,sK23,sK25)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK21,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_52077]) ).
cnf(c_52161,plain,
( ~ midp(X0,X1,sK23)
| ~ midp(X2,X1,sK26)
| para(X0,X2,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_52162,plain,
( ~ midp(sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK26)
| para(sK21,sK21,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_52161]) ).
cnf(c_52389,plain,
( ~ para(sK26,sK23,X0,X1)
| para(sK26,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_53624,plain,
( ~ eqangle(sK23,sK26,sK23,X0,sK23,sK26,sK23,X0)
| para(sK23,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_48707]) ).
cnf(c_53625,plain,
( ~ cyclic(sK26,X0,sK23,sK23)
| eqangle(sK23,sK26,sK23,X0,sK23,sK26,sK23,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_53626,plain,
( ~ eqangle(sK23,sK26,sK23,sK21,sK23,sK26,sK23,sK21)
| para(sK23,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_53624]) ).
cnf(c_53627,plain,
( ~ cyclic(sK26,sK21,sK23,sK23)
| eqangle(sK23,sK26,sK23,sK21,sK23,sK26,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_53625]) ).
cnf(c_54127,plain,
( ~ para(sK20,sK27,X0,X1)
| eqangle(sK20,sK27,X2,X3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_54128,plain,
( ~ para(sK20,sK27,sK21,sK21)
| eqangle(sK20,sK27,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_54127]) ).
cnf(c_54256,plain,
( ~ eqratio(X0,sK22,sK22,sK21,X1,X2,X3,X4)
| ~ cong(X1,X2,X3,X4)
| cong(X0,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_54257,plain,
( ~ eqratio(sK21,sK22,sK22,sK21,sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21)
| cong(sK21,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_54256]) ).
cnf(c_55157,plain,
( ~ cyclic(X0,sK26,sK21,X1)
| cyclic(X0,sK21,sK26,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_55158,plain,
( ~ cyclic(sK21,sK26,sK21,sK21)
| cyclic(sK21,sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_55157]) ).
cnf(c_56551,plain,
( ~ perp(X0,X1,sK20,sK27)
| perp(sK20,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_56552,plain,
( ~ perp(sK21,sK21,sK20,sK27)
| perp(sK20,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_56551]) ).
cnf(c_57062,plain,
( ~ eqratio(sK22,sK21,sK22,X0,X1,X2,X3,X4)
| eqratio(sK21,sK22,sK22,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_57063,plain,
( ~ eqratio(sK22,sK21,sK22,sK21,sK21,sK21,sK21,sK21)
| eqratio(sK21,sK22,sK22,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_57062]) ).
cnf(c_57111,plain,
( ~ para(sK21,X0,X1,X2)
| ~ coll(sK22,X0,X2)
| ~ coll(sK22,sK21,X1)
| eqratio(sK22,sK21,sK21,X1,sK22,X0,X0,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_57112,plain,
( ~ para(sK21,sK21,sK21,sK21)
| ~ coll(sK22,sK21,sK21)
| eqratio(sK22,sK21,sK21,sK21,sK22,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_57111]) ).
cnf(c_61466,plain,
( ~ eqangle(X0,X1,X0,sK26,sK21,X1,sK21,sK26)
| ~ coll(X0,sK21,sK26)
| cyclic(X1,sK26,X0,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_61467,plain,
( ~ eqangle(sK21,sK21,sK21,sK26,sK21,sK21,sK21,sK26)
| ~ coll(sK21,sK21,sK26)
| cyclic(sK21,sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_61466]) ).
cnf(c_69871,plain,
( ~ eqangle(X0,X1,sK23,sK25,X2,X3,X4,X5)
| ~ eqangle(X2,X3,X4,X5,X6,X7,sK23,sK26)
| eqangle(X0,X1,sK23,sK25,X6,X7,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_69872,plain,
( ~ eqangle(sK21,sK21,sK23,sK25,sK21,sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK23,sK26)
| eqangle(sK21,sK21,sK23,sK25,sK21,sK21,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_69871]) ).
cnf(c_118869,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ coll(sK21,sK20,X0)
| midp(sK21,sK20,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_119146,plain,
( ~ eqratio(sK20,sK21,X0,X1,sK20,X2,X3,X4)
| eqratio(sK20,sK21,sK20,X2,X0,X1,X3,X4) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_119147,plain,
( ~ eqratio(sK20,sK21,sK21,sK21,sK20,sK21,sK21,sK21)
| eqratio(sK20,sK21,sK20,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_119146]) ).
cnf(c_125977,plain,
( ~ eqratio(X0,sK20,sK20,sK21,X1,X2,X3,X4)
| ~ cong(X1,X2,X3,X4)
| cong(X0,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_125978,plain,
( ~ eqratio(sK21,sK20,sK20,sK21,sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21)
| cong(sK21,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_125977]) ).
cnf(c_126143,plain,
( ~ cong(sK21,sK20,sK21,sK20)
| ~ coll(sK21,sK20,sK20)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_118869]) ).
cnf(c_127551,plain,
( ~ eqratio(sK20,sK21,sK20,X0,X1,X2,X3,X4)
| eqratio(sK21,sK20,sK20,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_127552,plain,
( ~ eqratio(sK20,sK21,sK20,sK21,sK21,sK21,sK21,sK21)
| eqratio(sK21,sK20,sK20,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_127551]) ).
cnf(c_127602,plain,
( ~ para(sK21,X0,X1,X2)
| ~ coll(sK20,X0,X2)
| ~ coll(sK20,sK21,X1)
| eqratio(sK20,sK21,sK21,X1,sK20,X0,X0,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_127603,plain,
( ~ para(sK21,sK21,sK21,sK21)
| ~ coll(sK20,sK21,sK21)
| eqratio(sK20,sK21,sK21,sK21,sK20,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_127602]) ).
cnf(c_136153,plain,
( ~ para(X0,X1,X0,X2)
| eqangle(X0,X1,X0,sK26,X0,X2,X0,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_136155,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK26,sK21,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_136153]) ).
cnf(c_154418,plain,
( ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK23,X1,sK23)
| perp(X0,X1,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_154419,plain,
( ~ cong(sK21,sK25,sK21,sK25)
| ~ cong(sK21,sK23,sK21,sK23)
| perp(sK21,sK21,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_154418]) ).
cnf(c_158865,plain,
( ~ para(sK26,sK23,sK23,sK26)
| para(sK26,sK23,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_52389]) ).
cnf(c_158962,plain,
( ~ para(sK23,sK26,sK23,sK26)
| eqangle(sK23,sK26,sK25,sK23,sK23,sK26,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_47638]) ).
cnf(c_158963,plain,
( ~ eqangle(sK23,sK26,sK25,sK23,sK23,sK26,sK25,sK23)
| eqangle(sK26,sK23,sK25,sK23,sK23,sK26,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_49454]) ).
cnf(c_163983,plain,
( ~ eqangle(sK23,sK25,sK23,sK26,X0,X1,X2,X3)
| eqangle(sK25,sK23,sK23,sK26,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_164265,plain,
( ~ eqangle(sK25,sK23,X0,X1,X2,X3,X4,X5)
| ~ para(X2,X3,X4,X5)
| para(sK25,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_164266,plain,
( ~ para(sK25,sK23,X0,X1)
| para(sK25,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_164270,plain,
( ~ eqangle(sK25,sK23,X0,X1,X2,X3,X0,X1)
| para(sK25,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_164290,plain,
( ~ eqangle(sK23,sK25,sK23,sK26,X0,sK25,X0,sK26)
| eqangle(sK25,sK23,sK23,sK26,X0,sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_163983]) ).
cnf(c_164291,plain,
( ~ cyclic(sK25,sK26,sK23,X0)
| eqangle(sK23,sK25,sK23,sK26,X0,sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_164346,plain,
( ~ para(sK25,sK23,X0,X1)
| eqangle(sK25,sK23,sK20,sK27,X0,X1,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_164349,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,sK25,sK23)
| eqangle(X2,X3,X0,X1,sK25,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_164359,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,X0,X1,X2,X3)
| eqangle(sK25,sK23,X0,X1,sK23,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_164360,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,X4,X5)
| ~ eqangle(sK25,sK23,X6,X7,X0,X1,X2,X3)
| eqangle(sK25,sK23,X6,X7,sK23,sK26,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_164677,plain,
( ~ para(X0,X1,X2,sK26)
| ~ midp(X0,sK23,X2)
| ~ coll(X1,sK23,sK26)
| midp(X1,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_164679,plain,
( ~ para(X0,sK23,X1,sK26)
| ~ para(X0,sK26,X1,sK23)
| ~ midp(X2,X0,X1)
| midp(X2,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_164694,plain,
( ~ cyclic(sK25,sK23,sK26,X0)
| cyclic(sK25,sK26,sK23,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_164770,plain,
( ~ para(sK25,sK23,X0,X1)
| para(X0,X1,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_164835,plain,
( ~ eqangle(sK23,sK26,X0,X1,X2,X3,X4,X5)
| ~ para(X2,X3,X4,X5)
| para(sK23,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_164856,plain,
( ~ eqangle(sK20,sK27,X0,X1,X2,X3,X0,X1)
| para(sK20,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_165165,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK25,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_165195,plain,
( ~ para(sK23,sK26,X0,X1)
| eqangle(sK23,sK26,sK23,sK25,X0,X1,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_165359,plain,
( ~ eqangle(sK25,sK23,sK20,sK27,X0,X1,X2,X3)
| eqangle(sK20,sK27,sK25,sK23,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_165385,plain,
( ~ cyclic(sK23,sK25,X0,sK26)
| cyclic(sK25,sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_165448,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,sK23,sK25)
| eqangle(X2,X3,X0,X1,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_165500,plain,
( ~ eqangle(sK25,sK23,X0,X1,sK23,sK26,X2,X3)
| eqangle(sK23,sK26,X2,X3,sK25,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_165605,plain,
( ~ eqangle(X0,X1,X2,X3,sK25,sK23,sK23,sK26)
| eqangle(X0,X1,sK25,sK23,X2,X3,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_166761,plain,
( ~ eqangle(sK26,sK23,sK26,sK25,X0,sK23,X0,sK25)
| ~ coll(sK26,X0,sK25)
| cyclic(sK23,sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_167243,plain,
( ~ midp(X0,sK23,sK26)
| cong(X0,sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_167831,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,X2,X3)
| para(X0,X1,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_167965,plain,
( ~ eqangle(sK26,sK23,sK25,sK23,sK23,sK26,sK25,sK23)
| eqangle(sK25,sK23,sK26,sK23,sK25,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_164349]) ).
cnf(c_168850,plain,
( ~ para(X0,X1,sK26,X2)
| para(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_168883,plain,
( ~ midp(X0,sK25,X1)
| cong(X0,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_170984,plain,
( ~ para(X0,sK25,X1,X2)
| para(X0,sK25,X2,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_170985,plain,
( ~ para(X0,X1,X2,sK25)
| para(X2,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_171306,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK25,X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_172404,plain,
( ~ eqangle(X0,X1,X2,X3,sK23,sK26,X4,X5)
| eqangle(X2,X3,X0,X1,X4,X5,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_172405,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK23,sK26,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_172404]) ).
cnf(c_173262,plain,
( ~ para(X0,sK23,X1,sK23)
| ~ midp(X0,sK23,X1)
| ~ coll(sK23,sK23,sK23)
| midp(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_173263,plain,
( ~ para(sK21,sK23,sK21,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ midp(sK21,sK23,sK21)
| midp(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_173262]) ).
cnf(c_174493,plain,
( ~ cyclic(X0,sK26,X1,sK23)
| cyclic(sK26,X1,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_174494,plain,
( ~ cyclic(sK21,sK26,sK21,sK23)
| cyclic(sK26,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_174493]) ).
cnf(c_176759,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK27,sK22)
| para(X0,X1,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_176763,plain,
( ~ perp(sK21,sK21,sK27,sK22)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK21,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_176759]) ).
cnf(c_177790,plain,
( ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK27,X1,sK27)
| perp(X0,X1,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_177791,plain,
( ~ cong(sK21,sK20,sK21,sK20)
| ~ cong(sK21,sK27,sK21,sK27)
| perp(sK21,sK21,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_177790]) ).
cnf(c_178664,plain,
( ~ cyclic(X0,X1,sK26,sK23)
| cyclic(X0,sK26,X1,sK23) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_178665,plain,
( ~ cyclic(sK21,sK21,sK26,sK23)
| cyclic(sK21,sK26,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_178664]) ).
cnf(c_178859,plain,
( ~ cyclic(X0,X1,X2,sK23)
| ~ cyclic(X0,X1,X2,sK26)
| cyclic(X1,X2,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_178860,plain,
( ~ cyclic(sK21,sK21,sK21,sK23)
| ~ cyclic(sK21,sK21,sK21,sK26)
| cyclic(sK21,sK21,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_178859]) ).
cnf(c_180617,plain,
( ~ coll(sK26,sK26,sK23)
| coll(sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_180656,plain,
( ~ para(X0,X1,sK23,sK25)
| eqangle(X0,X1,X2,X3,sK23,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_180657,plain,
( ~ para(sK21,sK21,sK23,sK25)
| eqangle(sK21,sK21,sK21,sK21,sK23,sK25,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_180656]) ).
cnf(c_181025,plain,
( ~ para(X0,X1,sK23,sK26)
| eqangle(X0,X1,X2,X3,sK23,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_181026,plain,
( ~ para(sK21,sK21,sK23,sK26)
| eqangle(sK21,sK21,sK21,sK21,sK23,sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_181025]) ).
cnf(c_181689,plain,
( ~ para(sK25,sK23,sK23,sK25)
| para(sK23,sK25,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_170985]) ).
cnf(c_181696,plain,
( ~ para(sK25,sK23,sK23,sK25)
| para(sK25,sK23,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_164266]) ).
cnf(c_183928,plain,
( ~ eqangle(sK25,sK23,sK26,sK23,sK25,sK23,sK23,sK26)
| eqangle(sK25,sK23,sK25,sK23,sK26,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_165605]) ).
cnf(c_183955,plain,
( ~ para(sK25,sK23,sK25,sK23)
| eqangle(sK25,sK23,sK20,sK27,sK25,sK23,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_164346]) ).
cnf(c_183991,plain,
( ~ para(sK25,sK23,sK25,X0)
| para(sK25,X0,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_164770]) ).
cnf(c_184022,plain,
( ~ para(sK25,sK23,sK25,sK26)
| ~ para(sK25,sK26,sK25,sK23)
| ~ midp(X0,sK25,sK25)
| midp(X0,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_164679]) ).
cnf(c_184024,plain,
( ~ para(sK25,sK23,sK25,sK26)
| ~ para(sK25,sK26,sK25,sK23)
| ~ midp(sK21,sK25,sK25)
| midp(sK21,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_184022]) ).
cnf(c_184252,plain,
( ~ cyclic(sK25,sK26,sK23,sK26)
| eqangle(sK23,sK25,sK23,sK26,sK26,sK25,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_164291]) ).
cnf(c_184256,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,X0,sK25,X0,sK26)
| eqangle(sK25,sK23,X0,sK25,sK23,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_164359]) ).
cnf(c_184268,plain,
( ~ eqangle(sK23,sK25,sK23,sK26,sK23,sK25,sK23,sK26)
| eqangle(sK25,sK23,sK23,sK26,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_164290]) ).
cnf(c_184547,plain,
( ~ eqangle(sK23,sK26,sK23,sK25,sK23,sK26,sK23,sK25)
| eqangle(sK23,sK25,sK23,sK26,sK23,sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_165448]) ).
cnf(c_184689,plain,
( ~ para(sK23,sK26,sK23,sK26)
| ~ coll(sK26,sK23,sK26)
| ~ midp(sK23,sK23,sK23)
| midp(sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_164677]) ).
cnf(c_184695,plain,
( ~ para(sK23,sK26,sK23,sK26)
| eqangle(sK23,sK26,sK23,sK25,sK23,sK26,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_165195]) ).
cnf(c_186724,plain,
( ~ para(sK26,sK23,sK26,sK23)
| eqangle(sK26,sK23,sK26,sK25,sK26,sK23,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_171306]) ).
cnf(c_186725,plain,
( ~ eqangle(sK26,sK23,sK26,sK25,sK26,sK23,sK26,sK25)
| ~ coll(sK26,sK26,sK25)
| cyclic(sK23,sK25,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_166761]) ).
cnf(c_187135,plain,
( ~ eqangle(sK25,sK23,X0,sK25,sK23,sK26,X0,sK26)
| ~ para(sK23,sK26,X0,sK26)
| para(sK25,sK23,X0,sK25) ),
inference(instantiation,[status(thm)],[c_164265]) ).
cnf(c_187377,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,sK23,sK25,sK23,sK26)
| para(sK25,sK23,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_164270]) ).
cnf(c_188700,plain,
( ~ eqangle(sK25,sK23,sK20,sK27,sK25,sK23,sK20,sK27)
| eqangle(sK20,sK27,sK25,sK23,sK20,sK27,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_165359]) ).
cnf(c_188745,plain,
( ~ cyclic(sK25,sK23,sK26,sK26)
| cyclic(sK25,sK26,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_164694]) ).
cnf(c_188917,plain,
( ~ para(sK25,sK23,sK25,sK26)
| para(sK25,sK26,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_183991]) ).
cnf(c_188963,plain,
( ~ para(sK25,sK23,sK26,sK25)
| para(sK25,sK23,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_168850]) ).
cnf(c_189928,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_165165]) ).
cnf(c_189929,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(sK21,sK23,sK23)
| midp(sK21,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_189928]) ).
cnf(c_190832,plain,
( ~ para(sK23,sK25,sK25,sK23)
| para(sK23,sK25,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_170984]) ).
cnf(c_191056,plain,
( ~ eqangle(sK26,sK23,sK25,sK23,sK23,sK26,sK25,sK23)
| para(sK26,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_167831]) ).
cnf(c_191151,plain,
( ~ eqangle(sK26,sK23,sK23,sK26,sK23,sK26,X0,X1)
| ~ eqangle(sK25,sK23,sK25,sK23,sK26,sK23,sK23,sK26)
| eqangle(sK25,sK23,sK25,sK23,sK23,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_164360]) ).
cnf(c_191764,plain,
( ~ midp(sK26,sK23,sK26)
| cong(sK26,sK23,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_167243]) ).
cnf(c_195794,plain,
( ~ eqangle(sK25,sK23,sK26,sK25,sK23,sK26,sK26,sK26)
| ~ para(sK23,sK26,sK26,sK26)
| para(sK25,sK23,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_187135]) ).
cnf(c_196237,plain,
( ~ eqangle(sK25,sK23,sK25,sK23,sK26,sK23,sK23,sK26)
| ~ eqangle(sK26,sK23,sK23,sK26,sK23,sK26,sK26,sK26)
| eqangle(sK25,sK23,sK25,sK23,sK23,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_191151]) ).
cnf(c_196238,plain,
( ~ cong(sK26,sK23,sK26,sK26)
| eqangle(sK26,sK23,sK23,sK26,sK23,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_204404,plain,
( ~ eqangle(sK20,sK27,sK25,sK23,sK20,sK27,sK25,sK23)
| para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_164856]) ).
cnf(c_204520,plain,
( ~ cyclic(sK23,sK25,sK26,sK26)
| cyclic(sK25,sK23,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_165385]) ).
cnf(c_206193,plain,
( ~ eqangle(sK25,sK23,sK25,sK23,sK23,sK26,sK26,sK26)
| eqangle(sK23,sK26,sK26,sK26,sK25,sK23,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_165500]) ).
cnf(c_207794,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,sK26,sK25,sK26,sK26)
| eqangle(sK25,sK23,sK26,sK25,sK23,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_184256]) ).
cnf(c_208925,plain,
( ~ eqangle(X0,X1,X0,X1,sK23,sK25,X2,X3)
| eqangle(X0,X1,sK23,sK25,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_208926,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK23,sK25,sK21,sK21)
| eqangle(sK21,sK21,sK23,sK25,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_208925]) ).
cnf(c_213913,plain,
( ~ eqangle(sK23,sK25,sK23,sK26,sK26,sK25,sK26,sK26)
| eqangle(sK25,sK23,sK23,sK26,sK26,sK25,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_164290]) ).
cnf(c_214761,plain,
( ~ eqangle(sK23,sK26,sK26,sK26,sK25,sK23,sK25,sK23)
| ~ para(sK25,sK23,sK25,sK23)
| para(sK23,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_164835]) ).
cnf(c_215260,plain,
( ~ midp(X0,sK25,sK25)
| cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_168883]) ).
cnf(c_215268,plain,
( ~ midp(sK21,sK25,sK25)
| cong(sK21,sK25,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_215260]) ).
cnf(c_284856,plain,
( ~ para(X0,X1,sK27,sK22)
| eqangle(X0,X1,X2,X3,sK27,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_284857,plain,
( ~ para(sK21,sK21,sK27,sK22)
| eqangle(sK21,sK21,sK21,sK21,sK27,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_284856]) ).
cnf(c_354162,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,X1,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_356618,plain,
( ~ midp(X0,sK27,sK27)
| cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_356619,plain,
( ~ midp(sK21,sK27,sK27)
| cong(sK21,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_356618]) ).
cnf(c_357263,plain,
( ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,sK22,X1,sK22)
| perp(X0,X1,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_357264,plain,
( ~ cong(sK21,sK27,sK21,sK27)
| ~ cong(sK21,sK22,sK21,sK22)
| perp(sK21,sK21,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_357263]) ).
cnf(c_358558,plain,
( ~ para(sK20,sK27,sK20,sK27)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_354162]) ).
cnf(c_358559,plain,
( ~ para(sK20,sK27,sK20,sK27)
| ~ midp(sK21,sK20,sK20)
| midp(sK21,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_358558]) ).
cnf(c_358560,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_358559,c_357264,c_356619,c_284857,c_215268,c_214761,c_213913,c_208926,c_207794,c_206193,c_204520,c_204404,c_196238,c_196237,c_195794,c_191764,c_191056,c_190832,c_189929,c_188963,c_188917,c_188745,c_188700,c_187377,c_186725,c_186724,c_184695,c_184689,c_184547,c_184268,c_184252,c_184024,c_183955,c_183928,c_181696,c_181689,c_181026,c_180657,c_180617,c_178860,c_178665,c_177791,c_176763,c_174494,c_173263,c_172405,c_167965,c_158963,c_158962,c_158865,c_154419,c_136155,c_127603,c_127552,c_126143,c_125978,c_119147,c_69872,c_61467,c_57112,c_57063,c_56552,c_55158,c_54257,c_54128,c_53627,c_53626,c_52162,c_52081,c_49552,c_49343,c_41766,c_41691,c_41558,c_41557,c_35024,c_18000,c_16079,c_16050,c_14940,c_13810,c_13006,c_10372,c_9236,c_9082,c_9081,c_6685,c_6657,c_5517,c_5344,c_4948,c_4806,c_4668,c_4387,c_4163,c_3686,c_3542,c_3191,c_3085,c_1920,c_1668,c_1658,c_1610,c_1570,c_1543,c_1537,c_1479,c_1426,c_1397,c_1321,c_1276,c_1188,c_1062,c_1021,c_1012,c_895,c_710,c_709,c_417,c_411,c_393,c_385,c_357,c_292,c_282,c_281,c_280,c_276,c_270,c_236,c_203,c_187,c_182,c_178,c_175,c_162,c_165,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO613+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 01:51:01 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 180.48/24.78 % SZS status Started for theBenchmark.p
% 180.48/24.78 % SZS status Theorem for theBenchmark.p
% 180.48/24.78
% 180.48/24.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 180.48/24.78
% 180.48/24.78 ------ iProver source info
% 180.48/24.78
% 180.48/24.78 git: date: 2024-05-02 19:28:25 +0000
% 180.48/24.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 180.48/24.78 git: non_committed_changes: false
% 180.48/24.78
% 180.48/24.78 ------ Parsing...
% 180.48/24.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 180.48/24.78
% 180.48/24.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 180.48/24.78
% 180.48/24.78 ------ Preprocessing...
% 180.48/24.78
% 180.48/24.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 180.48/24.78 ------ Proving...
% 180.48/24.78 ------ Problem Properties
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78 clauses 123
% 180.48/24.78 conjectures 11
% 180.48/24.78 EPR 86
% 180.48/24.78 Horn 113
% 180.48/24.78 unary 11
% 180.48/24.78 binary 37
% 180.48/24.78 lits 339
% 180.48/24.78 lits eq 4
% 180.48/24.78 fd_pure 0
% 180.48/24.78 fd_pseudo 0
% 180.48/24.78 fd_cond 0
% 180.48/24.78 fd_pseudo_cond 4
% 180.48/24.78 AC symbols 0
% 180.48/24.78
% 180.48/24.78 ------ Input Options Time Limit: Unbounded
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78 ------
% 180.48/24.78 Current options:
% 180.48/24.78 ------
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78 ------ Proving...
% 180.48/24.78
% 180.48/24.78
% 180.48/24.78 % SZS status Theorem for theBenchmark.p
% 180.48/24.78
% 180.48/24.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 180.48/24.78
% 180.48/24.78
%------------------------------------------------------------------------------