TSTP Solution File: GEO562+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:46 EDT 2023
% Result : Theorem 70.15s 10.23s
% Output : CNFRefutation 70.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 51
% Syntax : Number of formulae : 634 ( 143 unt; 0 def)
% Number of atoms : 1517 ( 8 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 1535 ( 652 ~; 647 |; 155 &)
% ( 0 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-5 aty)
% Number of variables : 1554 ( 2 sgn;1040 !; 47 ?)
% 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(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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD49) ).
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(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f85,axiom,
! [X0,X1,X2,X3,X7] :
? [X8] :
( ( perp(X0,X1,X1,X7)
& cong(X7,X2,X7,X3) )
=> ( cong(X1,X2,X1,X8)
& para(X8,X2,X0,X1)
& cong(X7,X2,X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX9) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X2,X3,X7,X1,X6,X4,X5,X12,X18,X19] :
( ( coll(X12,X2,X4)
& coll(X12,X0,X1)
& coll(X5,X2,X3)
& coll(X5,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X6,X0,X1)
& coll(X6,X2,X7)
& circle(X7,X0,X1,X18)
& perp(X2,X7,X0,X1)
& circle(X7,X0,X2,X3) )
=> eqangle(X0,X12,X12,X2,X2,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
fof(f96,negated_conjecture,
~ ! [X0,X2,X3,X7,X1,X6,X4,X5,X12,X18,X19] :
( ( coll(X12,X2,X4)
& coll(X12,X0,X1)
& coll(X5,X2,X3)
& coll(X5,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X6,X0,X1)
& coll(X6,X2,X7)
& circle(X7,X0,X1,X18)
& perp(X2,X7,X0,X1)
& circle(X7,X0,X2,X3) )
=> eqangle(X0,X12,X12,X2,X2,X3,X3,X4) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
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(f136,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X1,X1,X4)
& cong(X4,X2,X4,X3) )
=> ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
inference(rectify,[],[f85]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(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(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(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f236]) ).
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(f252,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f136]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f252]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(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(f300,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) )
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) ),
inference(ennf_transformation,[],[f157]) ).
fof(f301,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) )
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) ),
inference(flattening,[],[f300]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f338,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) )
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) )
=> ( ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
& para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
& cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) )
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
& para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
& cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) )
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f301,f338]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26)
& coll(sK28,sK21,sK26)
& coll(sK28,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK25,sK20,sK24)
& coll(sK25,sK21,sK23)
& circle(sK23,sK20,sK24,sK29)
& perp(sK21,sK23,sK20,sK24)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26)
& coll(sK28,sK21,sK26)
& coll(sK28,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK25,sK20,sK24)
& coll(sK25,sK21,sK23)
& circle(sK23,sK20,sK24,sK29)
& perp(sK21,sK23,sK20,sK24)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[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(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(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(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
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(f417,plain,
! [X2,X3,X0,X1] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4] :
( cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4))
| ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3) ),
inference(cnf_transformation,[],[f339]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
circle(sK23,sK20,sK26,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK27,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK28,sK21,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26),
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_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_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_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
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_106,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_143,plain,
( ~ perp(X0,X1,X1,X2)
| ~ cong(X2,X3,X2,X4)
| cong(X2,X3,X2,sK8(X0,X1,X3,X4,X2)) ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26),
inference(cnf_transformation,[],[f483]) ).
cnf(c_163,negated_conjecture,
coll(sK28,sK21,sK26),
inference(cnf_transformation,[],[f482]) ).
cnf(c_164,negated_conjecture,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f480]) ).
cnf(c_166,negated_conjecture,
coll(sK27,sK20,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
circle(sK23,sK20,sK26,sK30),
inference(cnf_transformation,[],[f478]) ).
cnf(c_169,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_171,negated_conjecture,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f474]) ).
cnf(c_172,negated_conjecture,
circle(sK23,sK20,sK21,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_181,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_187,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_236,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2201,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK26
| X3 != sK30
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_167]) ).
cnf(c_2202,plain,
perp(sK11(sK20,sK26,sK30,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2201]) ).
cnf(c_2370,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK21
| X3 != sK22
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_102,c_172]) ).
cnf(c_2371,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(unflattening,[status(thm)],[c_2370]) ).
cnf(c_6662,plain,
( ~ coll(sK28,sK20,sK24)
| coll(sK28,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6674,plain,
( ~ perp(sK21,sK23,sK20,sK24)
| perp(sK20,sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_6693,plain,
( ~ perp(X0,X1,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK24)
| para(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_6725,plain,
( ~ coll(sK28,sK24,sK20)
| coll(sK24,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6773,plain,
coll(sK28,sK26,sK21),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6774,plain,
coll(sK28,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_6775,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_6776,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
cnf(c_6778,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_6793,plain,
coll(sK21,sK28,sK26),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_6794,plain,
coll(sK20,sK28,sK24),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_6796,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_166,c_50]) ).
cnf(c_6829,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_6775,c_50]) ).
cnf(c_6835,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_6778,c_50]) ).
cnf(c_6838,plain,
coll(sK21,sK26,sK28),
inference(superposition,[status(thm)],[c_6793,c_49]) ).
cnf(c_6840,plain,
( ~ perp(sK11(sK20,sK26,sK30,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK26,sK30,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6856,plain,
coll(sK20,sK24,sK28),
inference(superposition,[status(thm)],[c_6794,c_49]) ).
cnf(c_6860,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_6796,c_49]) ).
cnf(c_7016,plain,
( ~ coll(sK28,sK21,X0)
| coll(sK26,X0,sK28) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_7017,plain,
( ~ coll(sK28,sK20,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
cnf(c_7018,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_7019,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
cnf(c_7022,plain,
( ~ coll(sK28,sK26,X0)
| coll(sK21,X0,sK28) ),
inference(superposition,[status(thm)],[c_6773,c_51]) ).
cnf(c_7023,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_6774,c_51]) ).
cnf(c_7024,plain,
( ~ coll(sK27,sK22,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_6775,c_51]) ).
cnf(c_7025,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_6776,c_51]) ).
cnf(c_7029,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6794,c_51]) ).
cnf(c_7034,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK28,X0,sK20) ),
inference(superposition,[status(thm)],[c_6856,c_51]) ).
cnf(c_7035,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK27,X0,sK20) ),
inference(superposition,[status(thm)],[c_6860,c_51]) ).
cnf(c_7039,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_6829,c_51]) ).
cnf(c_7042,plain,
( ~ coll(sK23,sK25,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_6835,c_51]) ).
cnf(c_7043,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK28,X0,sK21) ),
inference(superposition,[status(thm)],[c_6838,c_51]) ).
cnf(c_7061,plain,
( ~ coll(sK22,sK27,sK20)
| coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7039]) ).
cnf(c_7101,plain,
( ~ perp(sK20,sK24,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK24)
| para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_6693]) ).
cnf(c_7198,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_163,c_7016]) ).
cnf(c_7199,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK28,X0,sK26) ),
inference(superposition,[status(thm)],[c_7198,c_51]) ).
cnf(c_7226,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_164,c_7017]) ).
cnf(c_7227,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK28,X0,sK24) ),
inference(superposition,[status(thm)],[c_7226,c_51]) ).
cnf(c_7245,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_165,c_7018]) ).
cnf(c_7246,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK27,X0,sK22) ),
inference(superposition,[status(thm)],[c_7245,c_51]) ).
cnf(c_7248,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_7245,c_49]) ).
cnf(c_7257,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_166,c_7019]) ).
cnf(c_7264,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK27,X0,sK24) ),
inference(superposition,[status(thm)],[c_7257,c_51]) ).
cnf(c_7302,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7248,c_51]) ).
cnf(c_7305,plain,
( ~ coll(sK22,sK27,sK20)
| coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7302]) ).
cnf(c_7318,plain,
( ~ coll(sK24,sK28,X0)
| ~ coll(sK24,sK28,sK20)
| coll(X0,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7349,plain,
coll(sK21,sK21,sK28),
inference(superposition,[status(thm)],[c_6773,c_7022]) ).
cnf(c_7353,plain,
coll(sK21,sK28,sK21),
inference(superposition,[status(thm)],[c_7349,c_49]) ).
cnf(c_7362,plain,
coll(sK20,sK20,sK28),
inference(superposition,[status(thm)],[c_6774,c_7023]) ).
cnf(c_7365,plain,
coll(sK20,sK28,sK20),
inference(superposition,[status(thm)],[c_7362,c_49]) ).
cnf(c_7375,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_6775,c_7024]) ).
cnf(c_7378,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_7427,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
cnf(c_7429,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_7432,plain,
coll(sK21,sK28,sK26),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_7433,plain,
coll(sK20,sK28,sK24),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_7435,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_166,c_50]) ).
cnf(c_7456,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_7429,c_50]) ).
cnf(c_7459,plain,
coll(sK21,sK26,sK28),
inference(superposition,[status(thm)],[c_7432,c_49]) ).
cnf(c_7470,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_7427,c_7025]) ).
cnf(c_7483,plain,
coll(sK20,sK24,sK28),
inference(superposition,[status(thm)],[c_7433,c_49]) ).
cnf(c_7487,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_7435,c_49]) ).
cnf(c_7504,plain,
perp(sK21,sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_171,c_55]) ).
cnf(c_7507,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_171,c_56]) ).
cnf(c_7510,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_7433,c_7029]) ).
cnf(c_7534,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_7470,c_49]) ).
cnf(c_7545,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_7563,plain,
coll(sK28,sK28,sK20),
inference(superposition,[status(thm)],[c_7483,c_7034]) ).
cnf(c_7569,plain,
coll(sK27,sK27,sK20),
inference(superposition,[status(thm)],[c_7487,c_7035]) ).
cnf(c_7589,plain,
( ~ coll(sK28,sK20,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
cnf(c_7590,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_7591,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
cnf(c_7618,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7365,c_51]) ).
cnf(c_7622,plain,
( ~ coll(sK21,sK28,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7353,c_51]) ).
cnf(c_7623,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_7375,c_51]) ).
cnf(c_7631,plain,
( ~ coll(sK21,sK28,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7622]) ).
cnf(c_7634,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7618]) ).
cnf(c_7692,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_164,c_7589]) ).
cnf(c_7720,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_165,c_7590]) ).
cnf(c_7746,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_166,c_7591]) ).
cnf(c_7773,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_7456,c_7042]) ).
cnf(c_7776,plain,
coll(sK28,sK28,sK21),
inference(superposition,[status(thm)],[c_7459,c_7043]) ).
cnf(c_7792,plain,
( ~ perp(sK11(sK20,sK26,sK30,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK26,sK30,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7794,plain,
( ~ perp(X0,X1,sK11(sK20,sK26,sK30,sK23),sK20)
| ~ perp(sK11(sK20,sK26,sK30,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7902,plain,
coll(sK28,sK28,sK24),
inference(superposition,[status(thm)],[c_7692,c_7227]) ).
cnf(c_7920,plain,
( ~ coll(sK28,sK28,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_7902,c_51]) ).
cnf(c_7992,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_7720,c_7246]) ).
cnf(c_7998,plain,
( ~ coll(sK27,sK27,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_7992,c_51]) ).
cnf(c_8001,plain,
( ~ coll(sK27,sK27,sK20)
| coll(sK22,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_7998]) ).
cnf(c_8007,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_8009,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8007]) ).
cnf(c_8021,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_7746,c_7264]) ).
cnf(c_8030,plain,
coll(sK27,sK24,sK27),
inference(superposition,[status(thm)],[c_8021,c_49]) ).
cnf(c_8088,plain,
( ~ coll(sK23,sK20,sK30)
| perp(sK20,sK26,sK26,sK30) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
cnf(c_8090,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_172,c_102]) ).
cnf(c_8110,plain,
( ~ midp(sK23,sK20,sK24)
| cong(sK21,sK20,sK21,sK24) ),
inference(superposition,[status(thm)],[c_171,c_104]) ).
cnf(c_8179,plain,
( ~ coll(sK23,sK20,sK30)
| perp(sK26,sK30,sK20,sK26) ),
inference(superposition,[status(thm)],[c_8088,c_56]) ).
cnf(c_8242,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8090,c_56]) ).
cnf(c_8443,plain,
( ~ perp(sK26,sK30,X0,X1)
| ~ coll(sK23,sK20,sK30)
| para(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_8088,c_57]) ).
cnf(c_8447,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7507,c_57]) ).
cnf(c_8695,plain,
( ~ cong(sK21,sK24,X0,X1)
| ~ midp(sK23,sK20,sK24)
| cong(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_8110,c_73]) ).
cnf(c_8828,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8242,c_57]) ).
cnf(c_8955,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X1,X2,X0,X3,X1,X3,X0) ),
inference(superposition,[status(thm)],[c_89,c_67]) ).
cnf(c_9046,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_7504,c_8447]) ).
cnf(c_9054,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_9046,c_53]) ).
cnf(c_9060,plain,
( ~ coll(sK23,sK30,sK20)
| coll(sK23,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9077,plain,
( ~ coll(sK21,X0,sK28)
| coll(sK21,sK28,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9078,plain,
( ~ coll(sK21,sK20,sK28)
| coll(sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_9077]) ).
cnf(c_9111,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
cnf(c_9197,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_7545,c_72]) ).
cnf(c_9239,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_9197,c_71]) ).
cnf(c_9393,plain,
( ~ coll(sK23,sK20,sK30)
| para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_8179,c_8443]) ).
cnf(c_9512,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_171,c_56]) ).
cnf(c_9899,plain,
( ~ coll(sK22,X0,sK20)
| ~ coll(sK22,X0,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9923,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK23)
| coll(sK23,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9941,plain,
( ~ coll(sK28,sK28,X0)
| coll(sK21,X0,sK28) ),
inference(superposition,[status(thm)],[c_7776,c_51]) ).
cnf(c_9944,plain,
( ~ coll(sK28,sK28,sK20)
| coll(sK21,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_9941]) ).
cnf(c_10084,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_171,c_57]) ).
cnf(c_10089,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_9512,c_57]) ).
cnf(c_10147,plain,
para(sK21,sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_9512,c_10084]) ).
cnf(c_10542,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_171,c_10089]) ).
cnf(c_11822,plain,
( ~ coll(sK22,X0,sK27)
| coll(sK22,sK27,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11823,plain,
( ~ coll(sK22,sK20,sK27)
| coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_11822]) ).
cnf(c_12207,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_10542,c_113]) ).
cnf(c_12210,plain,
( ~ para(sK21,sK23,sK21,sK23)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_10147,c_113]) ).
cnf(c_12215,plain,
( ~ midp(X0,sK21,sK21)
| midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12210,c_10147]) ).
cnf(c_12216,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12207,c_10542]) ).
cnf(c_12217,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_12216]) ).
cnf(c_12218,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_12215]) ).
cnf(c_12471,plain,
( ~ perp(sK11(sK20,sK26,sK30,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK26,sK30,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7794]) ).
cnf(c_12573,plain,
( ~ eqangle(sK20,sK24,sK20,X0,sK20,sK24,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_12575,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12573]) ).
cnf(c_14222,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_171,c_56]) ).
cnf(c_14256,plain,
( ~ coll(sK28,sK21,X0)
| coll(sK26,X0,sK28) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_14258,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_14301,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_163,c_14256]) ).
cnf(c_14313,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_165,c_14258]) ).
cnf(c_14445,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_14222,c_57]) ).
cnf(c_14457,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_171,c_14445]) ).
cnf(c_14616,plain,
coll(sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_14301,c_7199]) ).
cnf(c_14677,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_14313,c_7246]) ).
cnf(c_14729,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_14760,plain,
( ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14457,c_14729]) ).
cnf(c_14957,plain,
( ~ cyclic(sK24,X0,sK20,X1)
| ~ coll(sK20,sK20,X0)
| cyclic(X0,sK20,sK20,X1) ),
inference(superposition,[status(thm)],[c_14760,c_65]) ).
cnf(c_14963,plain,
( ~ cyclic(sK24,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14957]) ).
cnf(c_16348,plain,
( ~ coll(sK22,sK27,sK20)
| ~ coll(sK22,sK27,sK23)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9899]) ).
cnf(c_16403,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_16404,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16403]) ).
cnf(c_16719,plain,
( ~ coll(sK28,sK28,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_7563,c_51]) ).
cnf(c_16752,plain,
( ~ coll(sK27,sK27,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_7569,c_51]) ).
cnf(c_17013,plain,
( ~ perp(sK23,sK20,sK20,X0)
| eqangle(sK20,X0,sK20,sK26,sK30,sK20,sK30,sK26) ),
inference(resolution,[status(thm)],[c_97,c_167]) ).
cnf(c_17065,plain,
( ~ perp(sK23,sK20,sK20,sK20)
| cyclic(sK20,sK26,sK20,sK30)
| coll(sK20,sK30,sK20) ),
inference(resolution,[status(thm)],[c_17013,c_90]) ).
cnf(c_17248,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,sK21,sK23)
| perp(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_17343,plain,
( ~ eqangle(sK28,sK20,sK28,sK21,sK21,sK22,sK22,sK26)
| eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_18382,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK20)
| coll(X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_18383,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_18382]) ).
cnf(c_18592,plain,
( ~ perp(X0,sK21,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK24)
| para(X0,sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_6693]) ).
cnf(c_18594,plain,
( ~ perp(sK20,sK21,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK24)
| para(sK20,sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_18592]) ).
cnf(c_19190,plain,
( ~ coll(sK24,sK28,sK20)
| ~ coll(sK24,sK28,sK21)
| coll(sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_7318]) ).
cnf(c_19729,plain,
( ~ cong(sK22,X0,X1,sK22)
| cong(sK22,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_19730,plain,
( ~ cong(sK22,sK20,sK20,sK22)
| cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_19729]) ).
cnf(c_20510,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_9054,c_52]) ).
cnf(c_20657,plain,
( ~ coll(sK24,sK24,X0)
| cyclic(sK20,X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_20510,c_14729]) ).
cnf(c_20660,plain,
( ~ coll(sK24,sK24,sK20)
| cyclic(sK20,sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_20657]) ).
cnf(c_20945,plain,
coll(sK20,sK26,sK28),
inference(superposition,[status(thm)],[c_14616,c_16719]) ).
cnf(c_21048,plain,
coll(sK20,sK28,sK26),
inference(superposition,[status(thm)],[c_20945,c_49]) ).
cnf(c_21296,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_14677,c_16752]) ).
cnf(c_21367,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_21296,c_49]) ).
cnf(c_21526,plain,
( ~ eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21)
| eqangle(sK28,sK20,sK28,sK21,sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_21934,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_21048,c_51]) ).
cnf(c_21938,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21934]) ).
cnf(c_22246,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_7773,c_7623]) ).
cnf(c_22377,plain,
coll(sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_22246,c_49]) ).
cnf(c_22570,plain,
( ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK23,X1,sK23)
| perp(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_22571,plain,
( ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK23,sK20,sK23)
| perp(sK20,sK20,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_22570]) ).
cnf(c_22792,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_21367,c_51]) ).
cnf(c_22797,plain,
( ~ coll(sK20,sK27,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22792]) ).
cnf(c_23093,plain,
coll(sK24,sK21,sK28),
inference(superposition,[status(thm)],[c_7776,c_7920]) ).
cnf(c_23254,plain,
coll(sK24,sK28,sK21),
inference(superposition,[status(thm)],[c_23093,c_49]) ).
cnf(c_24163,plain,
coll(sK22,sK23,sK27),
inference(superposition,[status(thm)],[c_22377,c_14258]) ).
cnf(c_24429,plain,
( ~ para(X0,sK21,X1,sK24)
| ~ midp(X0,sK20,X1)
| ~ coll(sK21,sK20,sK24)
| midp(sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_24430,plain,
( ~ para(sK20,sK21,sK20,sK24)
| ~ coll(sK21,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_24429]) ).
cnf(c_24460,plain,
coll(sK22,sK27,sK23),
inference(superposition,[status(thm)],[c_24163,c_49]) ).
cnf(c_25008,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
cnf(c_25080,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_166,c_25008]) ).
cnf(c_25162,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_172,c_102]) ).
cnf(c_25198,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_25162,c_2371,c_7569,c_8001,c_11823,c_16348,c_24460]) ).
cnf(c_25200,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_25198,c_56]) ).
cnf(c_25201,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_25198,c_55]) ).
cnf(c_25202,plain,
( ~ midp(X0,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_25198,c_101]) ).
cnf(c_25211,plain,
perp(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_25200,c_55]) ).
cnf(c_25212,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_25201,c_56]) ).
cnf(c_25221,plain,
( ~ midp(sK23,sK20,sK24)
| cong(sK21,sK20,sK21,sK24) ),
inference(superposition,[status(thm)],[c_171,c_104]) ).
cnf(c_25243,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_25198,c_57]) ).
cnf(c_25248,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_25200,c_57]) ).
cnf(c_25280,plain,
( ~ midp(sK23,sK20,sK24)
| cong(sK21,sK24,sK21,sK20) ),
inference(superposition,[status(thm)],[c_25221,c_72]) ).
cnf(c_25480,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_25080,c_7264]) ).
cnf(c_25619,plain,
( ~ midp(X0,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_25202,c_71]) ).
cnf(c_25620,plain,
( ~ cong(sK20,X0,sK21,X0)
| ~ midp(X1,sK20,sK22)
| perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_25202,c_105]) ).
cnf(c_25735,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_25200,c_25243]) ).
cnf(c_25846,plain,
( ~ midp(sK23,sK20,sK24)
| cong(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_25280,c_8695]) ).
cnf(c_26216,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ cong(sK21,sK20,sK21,X1)
| ~ midp(sK23,sK20,sK24)
| cyclic(sK20,X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_25221,c_61]) ).
cnf(c_27302,plain,
coll(sK20,sK27,sK27),
inference(superposition,[status(thm)],[c_8030,c_7025]) ).
cnf(c_27445,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK27,X0,sK20) ),
inference(superposition,[status(thm)],[c_27302,c_51]) ).
cnf(c_27536,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_25211,c_25243]) ).
cnf(c_27539,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_25212,c_104]) ).
cnf(c_27543,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_25735,c_113]) ).
cnf(c_27544,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_25735,c_94]) ).
cnf(c_27550,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27543,c_25735]) ).
cnf(c_27551,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_27550]) ).
cnf(c_27552,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_27544]) ).
cnf(c_27556,plain,
( ~ para(sK21,sK20,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_27536,c_54]) ).
cnf(c_27559,plain,
( ~ para(sK21,sK20,sK20,sK20)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_27556]) ).
cnf(c_28274,plain,
coll(sK22,sK24,sK27),
inference(superposition,[status(thm)],[c_25480,c_7998]) ).
cnf(c_28278,plain,
coll(sK24,sK22,sK27),
inference(superposition,[status(thm)],[c_28274,c_50]) ).
cnf(c_28331,plain,
coll(sK24,sK27,sK22),
inference(superposition,[status(thm)],[c_28278,c_49]) ).
cnf(c_29178,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ midp(X0,sK20,sK20)
| ~ coll(sK23,sK20,sK30)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_9393,c_113]) ).
cnf(c_29186,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ coll(sK23,sK20,sK30)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_29178]) ).
cnf(c_29193,plain,
coll(sK27,sK24,sK22),
inference(superposition,[status(thm)],[c_28331,c_50]) ).
cnf(c_30180,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ midp(sK23,sK20,sK24)
| cyclic(sK20,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_25846,c_26216]) ).
cnf(c_30666,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_25198,c_25248]) ).
cnf(c_30669,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_30666,c_94]) ).
cnf(c_30677,plain,
( ~ coll(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_30669]) ).
cnf(c_30870,plain,
( ~ midp(X0,sK23,sK23)
| cong(X0,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_30873,plain,
( ~ midp(sK20,sK23,sK23)
| cong(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_30870]) ).
cnf(c_31629,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_29193,c_7025]) ).
cnf(c_31697,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_31629,c_49]) ).
cnf(c_33918,plain,
( ~ eqangle(X0,X1,X2,X3,sK28,sK20,sK28,sK21)
| ~ eqangle(sK21,sK22,sK22,sK26,X0,X1,X2,X3)
| eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_33919,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK21)
| ~ eqangle(sK21,sK22,sK22,sK26,sK20,sK20,sK20,sK20)
| eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_33918]) ).
cnf(c_34223,plain,
( ~ para(X0,X1,X2,sK22)
| ~ para(X0,sK22,X2,X1)
| ~ midp(sK20,X0,X2)
| midp(sK20,X1,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_34224,plain,
( ~ para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_34223]) ).
cnf(c_35392,plain,
( ~ eqangle(sK28,sK21,sK28,sK20,X0,X1,X2,X3)
| eqangle(sK28,sK20,sK28,sK21,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_35393,plain,
( ~ eqangle(sK28,sK21,sK28,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK28,sK20,sK28,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35392]) ).
cnf(c_37394,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_31697,c_27445]) ).
cnf(c_37397,plain,
( ~ midp(X0,sK21,sK21)
| cong(X0,sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_37399,plain,
( ~ midp(sK20,sK21,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_37397]) ).
cnf(c_37426,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_37394,c_50]) ).
cnf(c_37582,plain,
( ~ midp(X0,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| perp(sK20,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_25619,c_25620]) ).
cnf(c_37583,plain,
( ~ midp(sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| perp(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_37582]) ).
cnf(c_38159,plain,
( ~ midp(sK23,sK20,sK24)
| cyclic(sK20,sK20,sK24,sK24) ),
inference(superposition,[status(thm)],[c_25221,c_30180]) ).
cnf(c_38251,plain,
cyclic(sK20,sK20,sK24,sK24),
inference(global_subsumption_just,[status(thm)],[c_38159,c_7510,c_20660]) ).
cnf(c_38253,plain,
( ~ cong(sK20,sK24,sK20,sK24)
| perp(sK24,sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_38251,c_106]) ).
cnf(c_38254,plain,
( ~ cyclic(sK20,sK20,sK24,X0)
| cyclic(sK20,sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_38251,c_65]) ).
cnf(c_38303,plain,
( ~ midp(sK20,sK24,sK24)
| perp(sK24,sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_117,c_38253]) ).
cnf(c_38306,plain,
cyclic(sK20,sK24,sK24,sK24),
inference(superposition,[status(thm)],[c_38251,c_38254]) ).
cnf(c_39952,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_37426,c_7039]) ).
cnf(c_39977,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_39952,c_50]) ).
cnf(c_40179,plain,
( ~ cong(sK26,X0,sK26,X1)
| ~ coll(sK26,X0,X1)
| midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_40180,plain,
( ~ cong(sK26,sK20,sK26,sK20)
| ~ coll(sK26,sK20,sK20)
| midp(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40179]) ).
cnf(c_40796,plain,
( ~ cong(sK22,X0,sK22,X1)
| ~ coll(sK22,X0,X1)
| midp(sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_40797,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| ~ coll(sK22,sK20,sK20)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40796]) ).
cnf(c_41111,plain,
( ~ cyclic(X0,sK20,sK21,X1)
| ~ cyclic(X0,sK20,sK21,sK28)
| cyclic(sK20,sK21,sK28,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_41112,plain,
( ~ cyclic(sK20,sK20,sK21,sK20)
| ~ cyclic(sK20,sK20,sK21,sK28)
| cyclic(sK20,sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_41111]) ).
cnf(c_41729,plain,
( ~ para(X0,sK21,X1,X2)
| ~ perp(X1,X2,sK21,sK23)
| perp(X0,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_17248]) ).
cnf(c_41730,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK23)
| perp(sK20,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_41729]) ).
cnf(c_42008,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_39977,c_49]) ).
cnf(c_42065,plain,
perp(sK21,sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_171,c_55]) ).
cnf(c_42116,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_42008,c_50]) ).
cnf(c_42284,plain,
( ~ coll(sK23,sK20,sK30)
| perp(sK20,sK26,sK26,sK30) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
cnf(c_42286,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_172,c_102]) ).
cnf(c_42287,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_42286,c_2371,c_7569,c_8001,c_11823,c_16348,c_24460]) ).
cnf(c_42289,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_42287,c_56]) ).
cnf(c_42290,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_42287,c_55]) ).
cnf(c_42291,plain,
( ~ midp(X0,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_42287,c_101]) ).
cnf(c_42317,plain,
perp(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_42289,c_55]) ).
cnf(c_42318,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_42290,c_56]) ).
cnf(c_42343,plain,
( ~ midp(sK23,sK20,sK24)
| cong(sK21,sK20,sK21,sK24) ),
inference(superposition,[status(thm)],[c_171,c_104]) ).
cnf(c_42363,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_42287,c_57]) ).
cnf(c_42364,plain,
( ~ perp(sK24,sK20,X0,X1)
| para(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_42065,c_57]) ).
cnf(c_42509,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_42318,c_57]) ).
cnf(c_42510,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_42318,c_104]) ).
cnf(c_42571,plain,
cong(sK22,sK20,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_42510,c_171,c_178,c_181,c_236,c_6674,c_7101,c_7365,c_7563,c_7631,c_7634,c_8009,c_9078,c_9944,c_12575,c_14963,c_27539,c_27552]) ).
cnf(c_42574,plain,
( ~ coll(sK22,sK20,sK21)
| midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_42571,c_116]) ).
cnf(c_42576,plain,
cong(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_42571,c_72]) ).
cnf(c_42577,plain,
cong(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_42571,c_71]) ).
cnf(c_42578,plain,
midp(sK22,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_42574,c_42116]) ).
cnf(c_42585,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_42287,c_42509]) ).
cnf(c_42614,plain,
( ~ cong(sK21,X0,X1,X2)
| ~ midp(X0,sK20,sK22)
| cong(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_42291,c_73]) ).
cnf(c_42774,plain,
( ~ coll(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| midp(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_42585,c_94]) ).
cnf(c_42775,plain,
( ~ coll(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_42774]) ).
cnf(c_42814,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_42317,c_42363]) ).
cnf(c_43379,plain,
( ~ coll(sK30,X0,X1)
| ~ coll(sK23,sK20,sK30)
| perp(sK16(sK20,sK30,sK26,X0,X1),sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42284,c_155]) ).
cnf(c_43524,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(sK30,sK20,X0)
| ~ coll(sK23,sK20,sK30)
| cong(X0,X1,X0,sK8(sK16(sK20,sK30,sK26,sK20,X0),sK20,X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_43379,c_143]) ).
cnf(c_43537,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ cong(sK21,sK20,sK21,X1)
| ~ midp(sK23,sK20,sK24)
| cyclic(sK20,X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_42343,c_61]) ).
cnf(c_43547,plain,
( ~ cong(sK22,sK20,sK22,X0)
| ~ cong(sK22,sK20,sK22,X1)
| cyclic(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_42571,c_61]) ).
cnf(c_43549,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| cyclic(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_43547]) ).
cnf(c_43628,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ midp(sK23,sK20,sK24)
| cyclic(sK20,sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_42343,c_43537]) ).
cnf(c_43639,plain,
( ~ midp(sK23,sK20,sK24)
| cyclic(sK20,sK24,sK24,sK24) ),
inference(superposition,[status(thm)],[c_42343,c_43628]) ).
cnf(c_43642,plain,
cyclic(sK20,sK24,sK24,sK24),
inference(global_subsumption_just,[status(thm)],[c_43639,c_38306]) ).
cnf(c_43644,plain,
( ~ cong(sK20,sK24,sK24,sK24)
| perp(sK24,sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_43642,c_106]) ).
cnf(c_43697,plain,
perp(sK24,sK20,sK20,sK24),
inference(global_subsumption_just,[status(thm)],[c_43644,c_171,c_178,c_181,c_236,c_6674,c_7101,c_7365,c_7634,c_8009,c_12217,c_12575,c_14963,c_38303]) ).
cnf(c_43708,plain,
para(sK21,sK23,sK20,sK24),
inference(superposition,[status(thm)],[c_43697,c_42364]) ).
cnf(c_44529,plain,
midp(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_42578,c_59]) ).
cnf(c_44703,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_42814,c_53]) ).
cnf(c_44710,plain,
para(sK21,sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_43708,c_52]) ).
cnf(c_44761,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_44703,c_52]) ).
cnf(c_45762,plain,
( ~ midp(sK22,X0,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_44529,c_112]) ).
cnf(c_45767,plain,
( ~ midp(sK22,sK20,sK20)
| para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_45762]) ).
cnf(c_50466,plain,
cong(sK22,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_42576,c_71]) ).
cnf(c_50481,plain,
cong(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_42577,c_72]) ).
cnf(c_51720,plain,
( ~ coll(sK23,X0,sK20)
| ~ midp(sK21,X0,sK24)
| midp(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_44710,c_94]) ).
cnf(c_51727,plain,
( ~ coll(sK23,sK20,sK20)
| ~ midp(sK21,sK20,sK24)
| midp(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_51720]) ).
cnf(c_52363,plain,
cong(sK20,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_50466,c_72]) ).
cnf(c_52369,plain,
( ~ midp(sK22,sK20,sK22)
| cong(sK20,sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_50481,c_42614]) ).
cnf(c_52397,plain,
( ~ cong(X0,sK22,sK22,X1)
| cong(sK22,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_52398,plain,
( ~ cong(sK20,sK22,sK22,sK20)
| cong(sK22,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_52397]) ).
cnf(c_52645,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK23,sK20,X0,X1)
| perp(sK23,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_52646,plain,
( ~ para(sK23,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_52645]) ).
cnf(c_54615,plain,
cong(sK20,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_52363,c_71]) ).
cnf(c_56099,plain,
( ~ para(sK30,X0,sK30,sK20)
| coll(sK30,X0,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_56100,plain,
( ~ para(sK30,sK20,sK30,sK20)
| coll(sK30,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_56099]) ).
cnf(c_59189,plain,
( ~ coll(sK20,X0,sK23)
| ~ coll(sK20,X0,sK30)
| coll(sK23,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_9923]) ).
cnf(c_59190,plain,
( ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK30)
| coll(sK23,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_59189]) ).
cnf(c_62640,plain,
( ~ midp(sK20,X0,X1)
| ~ midp(sK23,X0,X2)
| para(sK23,sK20,X2,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_62641,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK23,sK20,sK20)
| para(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_62640]) ).
cnf(c_65808,plain,
( ~ coll(sK20,sK30,X0)
| coll(sK20,X0,sK30) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_65809,plain,
( ~ coll(sK20,sK30,sK20)
| coll(sK20,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_65808]) ).
cnf(c_65814,plain,
( ~ coll(sK30,X0,X1)
| ~ coll(sK30,X0,sK20)
| coll(sK20,X1,sK30) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_65815,plain,
( ~ coll(sK30,sK20,sK20)
| coll(sK20,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_65814]) ).
cnf(c_76068,plain,
( ~ para(X0,sK22,X1,X2)
| para(X1,X2,X0,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_76069,plain,
( ~ para(sK20,sK22,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_76068]) ).
cnf(c_76303,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK22,X1,sK20)
| para(X0,sK22,X2,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_76304,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK22,sK20,sK20)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_76303]) ).
cnf(c_76504,plain,
( ~ eqangle(sK28,sK21,X0,X1,X2,X3,X4,X5)
| ~ para(X2,X3,X4,X5)
| para(sK28,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_76603,plain,
( ~ para(sK21,sK22,sK22,sK26)
| eqangle(sK21,sK22,sK22,sK26,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_9111]) ).
cnf(c_76604,plain,
( ~ para(sK21,sK22,sK22,sK26)
| eqangle(sK21,sK22,sK22,sK26,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_76603]) ).
cnf(c_79984,plain,
( ~ eqangle(sK21,X0,sK21,sK20,sK28,X0,sK28,sK20)
| ~ coll(sK21,sK28,sK20)
| cyclic(X0,sK20,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_79986,plain,
( ~ eqangle(sK21,sK20,sK21,sK20,sK28,sK20,sK28,sK20)
| ~ coll(sK21,sK28,sK20)
| cyclic(sK20,sK20,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_79984]) ).
cnf(c_80492,plain,
( ~ perp(sK20,sK21,sK22,sK26)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_8828]) ).
cnf(c_81119,plain,
( ~ midp(X0,sK26,sK26)
| cong(sK26,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_9239]) ).
cnf(c_81120,plain,
( ~ midp(sK20,sK26,sK26)
| cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_81119]) ).
cnf(c_81232,plain,
( ~ para(sK28,sK21,sK28,sK20)
| eqangle(sK28,sK21,sK28,sK20,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_9111]) ).
cnf(c_81233,plain,
( ~ para(sK28,sK21,sK28,sK20)
| eqangle(sK28,sK21,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_81232]) ).
cnf(c_81237,plain,
( ~ eqangle(sK28,sK20,sK28,sK21,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_81238,plain,
( ~ eqangle(sK28,sK20,sK28,sK21,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_81237]) ).
cnf(c_81887,plain,
( ~ cyclic(sK20,sK21,sK28,X0)
| eqangle(sK28,sK21,sK28,sK20,X0,sK21,X0,sK20) ),
inference(instantiation,[status(thm)],[c_8955]) ).
cnf(c_81889,plain,
( ~ cyclic(sK20,sK21,sK28,sK20)
| eqangle(sK28,sK21,sK28,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_81887]) ).
cnf(c_82562,plain,
( ~ eqangle(sK28,sK21,sK28,X0,X1,sK21,X1,X0)
| ~ para(X1,sK21,X1,X0)
| para(sK28,sK21,sK28,X0) ),
inference(instantiation,[status(thm)],[c_76504]) ).
cnf(c_82564,plain,
( ~ eqangle(sK28,sK21,sK28,sK20,sK20,sK21,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20)
| para(sK28,sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_82562]) ).
cnf(c_85685,plain,
( ~ cong(sK20,sK22,sK21,sK22)
| ~ cong(sK20,sK26,sK21,sK26)
| perp(sK20,sK21,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_86239,plain,
( ~ perp(sK20,sK21,sK21,X0)
| ~ midp(sK26,sK20,X0)
| cong(sK20,sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_86240,plain,
( ~ perp(sK20,sK21,sK21,sK20)
| ~ midp(sK26,sK20,sK20)
| cong(sK20,sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_86239]) ).
cnf(c_91760,plain,
( ~ para(sK21,sK20,sK21,sK20)
| eqangle(sK21,sK20,sK21,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_9111]) ).
cnf(c_117604,plain,
~ coll(sK23,sK20,sK30),
inference(global_subsumption_just,[status(thm)],[c_43524,c_171,c_162,c_178,c_181,c_236,c_6674,c_7061,c_7101,c_7305,c_7365,c_7534,c_7563,c_7569,c_7631,c_7634,c_8001,c_8009,c_9078,c_9393,c_9944,c_11823,c_12575,c_14963,c_16348,c_17343,c_19730,c_21526,c_21938,c_22797,c_24460,c_27552,c_27559,c_29186,c_30677,c_33919,c_34224,c_35393,c_37583,c_40180,c_40797,c_41112,c_42578,c_42775,c_43549,c_44761,c_45767,c_52369,c_52398,c_54615,c_76069,c_76304,c_76604,c_79986,c_80492,c_81120,c_81233,c_81238,c_81889,c_82564,c_85685,c_86240,c_91760]) ).
cnf(c_127436,plain,
( ~ cyclic(sK20,X0,sK30,sK30)
| para(sK30,sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_7378]) ).
cnf(c_127437,plain,
( ~ cyclic(sK20,sK20,sK30,sK30)
| para(sK30,sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_127436]) ).
cnf(c_139289,plain,
( ~ circle(X0,X1,X2,X3)
| ~ cyclic(X1,X2,X1,X3)
| perp(X0,X1,X1,X1) ),
inference(superposition,[status(thm)],[c_89,c_98]) ).
cnf(c_140043,plain,
( ~ cyclic(sK20,sK26,sK20,sK30)
| perp(sK23,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_167,c_139289]) ).
cnf(c_140068,plain,
perp(sK23,sK20,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_140043,c_164,c_171,c_178,c_181,c_187,c_236,c_2202,c_6662,c_6674,c_6725,c_6840,c_7101,c_7305,c_7365,c_7534,c_7563,c_7569,c_7631,c_7634,c_7792,c_8001,c_8009,c_9078,c_9944,c_11823,c_12218,c_12471,c_12575,c_14963,c_16404,c_18594,c_19190,c_19730,c_22571,c_22797,c_23254,c_24430,c_27551,c_27552,c_27559,c_30677,c_30873,c_37399,c_40797,c_41730,c_45767,c_51727,c_52369,c_52398,c_52646,c_62641]) ).
cnf(c_140076,plain,
( ~ circle(sK23,sK20,X0,X1)
| eqangle(sK20,sK20,sK20,X0,X1,sK20,X1,X0) ),
inference(superposition,[status(thm)],[c_140068,c_97]) ).
cnf(c_140405,plain,
( ~ circle(sK23,sK20,X0,X1)
| cyclic(sK20,X0,sK20,X1)
| coll(sK20,X1,sK20) ),
inference(superposition,[status(thm)],[c_140076,c_90]) ).
cnf(c_144906,plain,
( cyclic(sK20,sK26,sK20,sK30)
| coll(sK20,sK30,sK20) ),
inference(superposition,[status(thm)],[c_167,c_140405]) ).
cnf(c_144941,plain,
cyclic(sK20,sK26,sK20,sK30),
inference(global_subsumption_just,[status(thm)],[c_144906,c_164,c_171,c_178,c_181,c_187,c_236,c_2202,c_6662,c_6674,c_6725,c_6840,c_7101,c_7305,c_7365,c_7534,c_7563,c_7569,c_7631,c_7634,c_7792,c_8001,c_8009,c_9060,c_9078,c_9944,c_11823,c_12218,c_12471,c_12575,c_14963,c_16404,c_17065,c_18383,c_18594,c_19190,c_19730,c_22571,c_22797,c_23254,c_24430,c_27551,c_27552,c_27559,c_30677,c_30873,c_37399,c_40797,c_41730,c_45767,c_51727,c_52369,c_52398,c_52646,c_59190,c_62641,c_65809,c_117604]) ).
cnf(c_144945,plain,
cyclic(sK26,sK20,sK20,sK30),
inference(superposition,[status(thm)],[c_144941,c_64]) ).
cnf(c_144976,plain,
( ~ cyclic(sK26,sK20,sK20,X0)
| cyclic(sK20,sK20,sK30,X0) ),
inference(superposition,[status(thm)],[c_144945,c_65]) ).
cnf(c_145451,plain,
cyclic(sK20,sK20,sK30,sK30),
inference(superposition,[status(thm)],[c_144945,c_144976]) ).
cnf(c_145452,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_145451,c_127437,c_117604,c_65815,c_59190,c_56100,c_18383,c_16404,c_12471,c_9060,c_7792,c_6840,c_2202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 00:18:31 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 70.15/10.23 % SZS status Started for theBenchmark.p
% 70.15/10.23 % SZS status Theorem for theBenchmark.p
% 70.15/10.23
% 70.15/10.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 70.15/10.23
% 70.15/10.23 ------ iProver source info
% 70.15/10.23
% 70.15/10.23 git: date: 2023-05-31 18:12:56 +0000
% 70.15/10.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 70.15/10.23 git: non_committed_changes: false
% 70.15/10.23 git: last_make_outside_of_git: false
% 70.15/10.23
% 70.15/10.23 ------ Parsing...
% 70.15/10.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 70.15/10.23
% 70.15/10.23 ------ 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
% 70.15/10.23
% 70.15/10.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.15/10.23
% 70.15/10.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 70.15/10.23 ------ Proving...
% 70.15/10.23 ------ Problem Properties
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23 clauses 123
% 70.15/10.23 conjectures 11
% 70.15/10.23 EPR 86
% 70.15/10.23 Horn 113
% 70.15/10.23 unary 11
% 70.15/10.23 binary 37
% 70.15/10.23 lits 339
% 70.15/10.23 lits eq 4
% 70.15/10.23 fd_pure 0
% 70.15/10.23 fd_pseudo 0
% 70.15/10.23 fd_cond 0
% 70.15/10.23 fd_pseudo_cond 4
% 70.15/10.23 AC symbols 0
% 70.15/10.23
% 70.15/10.23 ------ Input Options Time Limit: Unbounded
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23 ------
% 70.15/10.23 Current options:
% 70.15/10.23 ------
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23 ------ Proving...
% 70.15/10.23
% 70.15/10.23
% 70.15/10.23 % SZS status Theorem for theBenchmark.p
% 70.15/10.23
% 70.15/10.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.15/10.24
% 70.15/10.24
%------------------------------------------------------------------------------