TSTP Solution File: GEO557+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 06:15:10 EDT 2024
% Result : Theorem 71.54s 10.69s
% Output : CNFRefutation 71.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 48
% Syntax : Number of formulae : 553 ( 66 unt; 0 def)
% Number of atoms : 1436 ( 12 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 1576 ( 693 ~; 688 |; 118 &)
% ( 0 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 1516 ( 0 sgn 979 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012017) ).
fof(f96,negated_conjecture,
~ ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(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(f126,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
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(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(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,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> cyclic(X8,X2,X3,X1) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
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(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(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(f231,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f126]) ).
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(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(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,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(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,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK28,sK22,sK23,sK21)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK28,sK22,sK23,sK21)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
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(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(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(f406,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f231]) ).
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(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(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,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ cyclic(sK28,sK22,sK23,sK21),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_61,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X4)
| cyclic(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
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_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_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_95,plain,
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[],[f406]) ).
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_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_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,
~ cyclic(sK28,sK22,sK23,sK21),
inference(cnf_transformation,[],[f481]) ).
cnf(c_164,negated_conjecture,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f479]) ).
cnf(c_166,negated_conjecture,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_167,negated_conjecture,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f474]) ).
cnf(c_170,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_176,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_185,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_1908,plain,
( X0 != sK20
| X1 != sK21
| X2 != sK22
| X3 != sK23
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| perp(X3,X0,X0,X4) ),
inference(resolution_lifted,[status(thm)],[c_98,c_170]) ).
cnf(c_1909,plain,
( ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK23,sK20,sK20,X0) ),
inference(unflattening,[status(thm)],[c_1908]) ).
cnf(c_1910,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1909]) ).
cnf(c_2331,plain,
( X0 != sK26
| X1 != sK20
| X2 != sK28
| X3 != sK30
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_164]) ).
cnf(c_2332,plain,
perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26),
inference(unflattening,[status(thm)],[c_2331]) ).
cnf(c_2577,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK24
| X3 != sK29
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_169]) ).
cnf(c_2578,plain,
perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2577]) ).
cnf(c_5920,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_170]) ).
cnf(c_5922,negated_conjecture,
coll(sK25,sK20,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
cnf(c_5923,negated_conjecture,
coll(sK25,sK21,sK24),
inference(demodulation,[status(thm)],[c_167]) ).
cnf(c_5924,negated_conjecture,
circle(sK26,sK20,sK21,sK25),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_7450,plain,
coll(sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_5923,c_49]) ).
cnf(c_7451,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_5922,c_49]) ).
cnf(c_7456,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_5923,c_50]) ).
cnf(c_7457,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_5922,c_50]) ).
cnf(c_7466,plain,
coll(sK24,sK25,sK21),
inference(superposition,[status(thm)],[c_7450,c_50]) ).
cnf(c_7468,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_7451,c_50]) ).
cnf(c_7471,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_7456,c_49]) ).
cnf(c_7473,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_7457,c_49]) ).
cnf(c_7500,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_5923,c_51]) ).
cnf(c_7501,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_5922,c_51]) ).
cnf(c_7502,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_7450,c_51]) ).
cnf(c_7503,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_7451,c_51]) ).
cnf(c_7504,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_7456,c_51]) ).
cnf(c_7505,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7457,c_51]) ).
cnf(c_7506,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_7466,c_51]) ).
cnf(c_7507,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7468,c_51]) ).
cnf(c_7508,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_7471,c_51]) ).
cnf(c_7509,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_7473,c_51]) ).
cnf(c_7538,plain,
( ~ coll(sK21,sK24,sK20)
| coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7508]) ).
cnf(c_7539,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7507]) ).
cnf(c_7541,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7505]) ).
cnf(c_7543,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7503]) ).
cnf(c_7566,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_5923,c_7500]) ).
cnf(c_7567,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_7566,c_51]) ).
cnf(c_7589,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_5922,c_7501]) ).
cnf(c_7590,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_7589,c_51]) ).
cnf(c_7592,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_7589,c_49]) ).
cnf(c_7595,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7592,c_51]) ).
cnf(c_7600,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7595]) ).
cnf(c_7605,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_7450,c_7502]) ).
cnf(c_7609,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_7605,c_49]) ).
cnf(c_7617,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_7451,c_7503]) ).
cnf(c_7620,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7617,c_49]) ).
cnf(c_7650,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_7659,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7609,c_51]) ).
cnf(c_7662,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_7609,c_7504]) ).
cnf(c_7666,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7620,c_51]) ).
cnf(c_7667,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_7620,c_50]) ).
cnf(c_7669,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7620,c_7505]) ).
cnf(c_7672,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7666]) ).
cnf(c_7689,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_7566,c_7567]) ).
cnf(c_7691,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_7689,c_51]) ).
cnf(c_7701,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_7589,c_7590]) ).
cnf(c_7703,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_7701,c_51]) ).
cnf(c_7709,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_7662,c_50]) ).
cnf(c_7817,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_7471,c_7508]) ).
cnf(c_7828,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7473,c_7509]) ).
cnf(c_7845,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7709,c_51]) ).
cnf(c_7851,plain,
( ~ coll(sK21,sK24,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7845]) ).
cnf(c_7990,plain,
coll(sK24,sK20,sK25),
inference(superposition,[status(thm)],[c_7828,c_7691]) ).
cnf(c_7991,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_7701,c_7691]) ).
cnf(c_7995,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_7991,c_49]) ).
cnf(c_8006,plain,
coll(sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_7817,c_7703]) ).
cnf(c_8015,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_7990,c_49]) ).
cnf(c_8028,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_7995,c_7506]) ).
cnf(c_8040,plain,
coll(sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_8006,c_49]) ).
cnf(c_8054,plain,
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
cnf(c_8088,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_8015,c_50]) ).
cnf(c_8091,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_8015,c_7506]) ).
cnf(c_8134,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_8028,c_49]) ).
cnf(c_8145,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_8091,c_49]) ).
cnf(c_8224,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_5924,c_102]) ).
cnf(c_8226,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_5920,c_102]) ).
cnf(c_8263,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_8040,c_50]) ).
cnf(c_8298,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_8088,c_7502]) ).
cnf(c_8363,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK21,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8224,c_56]) ).
cnf(c_8364,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK25,sK21) ),
inference(superposition,[status(thm)],[c_8224,c_55]) ).
cnf(c_8437,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8226,c_56]) ).
cnf(c_8438,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8226,c_55]) ).
cnf(c_8439,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_8226,c_101]) ).
cnf(c_8493,plain,
( ~ perp(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8224,c_57]) ).
cnf(c_8495,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8226,c_57]) ).
cnf(c_8618,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| perp(sK20,sK26,sK11(sK20,sK28,sK30,sK26),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8619,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_8689,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_8363,c_57]) ).
cnf(c_8690,plain,
( ~ coll(sK26,sK20,sK25)
| ~ midp(sK25,sK20,sK21)
| cong(sK21,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8363,c_104]) ).
cnf(c_8708,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK25,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8364,c_56]) ).
cnf(c_8792,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_8134,c_51]) ).
cnf(c_8798,plain,
( ~ coll(sK21,sK24,sK20)
| coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8792]) ).
cnf(c_8823,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8437,c_57]) ).
cnf(c_8824,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| cong(sK21,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8437,c_104]) ).
cnf(c_8842,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8438,c_56]) ).
cnf(c_8994,plain,
( ~ coll(sK26,sK25,sK20)
| coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9213,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9386,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_8439,c_71]) ).
cnf(c_9485,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_8263,c_7503]) ).
cnf(c_9503,plain,
( ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8363,c_8493]) ).
cnf(c_9521,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8437,c_8495]) ).
cnf(c_9531,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_8298,c_49]) ).
cnf(c_9541,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_9485,c_49]) ).
cnf(c_9854,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_9855,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_10136,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_10149,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10136]) ).
cnf(c_10311,plain,
( ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_8708,c_104]) ).
cnf(c_10421,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8842,c_104]) ).
cnf(c_10709,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK26,sK20,sK25)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_9503,c_94]) ).
cnf(c_10721,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10709]) ).
cnf(c_10741,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK23,sK20,sK22)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_9521,c_94]) ).
cnf(c_10753,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10741]) ).
cnf(c_11125,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_9531,c_7659]) ).
cnf(c_11133,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_9541,c_7666]) ).
cnf(c_12285,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,X0,X1)
| ~ perp(sK20,sK26,sK11(sK20,sK28,sK30,sK26),sK20)
| para(sK20,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_12500,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK25,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8690,c_116]) ).
cnf(c_12935,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8824,c_116]) ).
cnf(c_12943,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12935,c_11125]) ).
cnf(c_13078,plain,
( ~ coll(sK20,X0,sK26)
| ~ coll(sK20,X0,sK25)
| coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_13079,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK25)
| coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_13078]) ).
cnf(c_13254,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_8224,c_155]) ).
cnf(c_13256,plain,
( ~ coll(sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| perp(sK16(sK20,sK22,sK21,X0,X1),sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_8226,c_155]) ).
cnf(c_13278,plain,
( ~ coll(sK22,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| perp(sK16(sK20,sK22,sK21,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13256]) ).
cnf(c_13280,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK25,sK20,sK20)
| perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13254]) ).
cnf(c_13652,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_13653,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13652]) ).
cnf(c_13724,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_11133,c_49]) ).
cnf(c_13976,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| perp(X0,X1,sK16(sK20,sK25,sK21,X0,X1),sK20) ),
inference(superposition,[status(thm)],[c_13254,c_56]) ).
cnf(c_14117,plain,
( ~ coll(sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| perp(X0,X1,sK16(sK20,sK22,sK21,X0,X1),sK20) ),
inference(superposition,[status(thm)],[c_13256,c_56]) ).
cnf(c_14831,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,X0,X1)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20)
| para(sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_14945,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,X0,X1)
| para(sK11(sK20,sK24,sK29,sK23),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_14952,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK20,sK20)
| para(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14945]) ).
cnf(c_14955,plain,
( ~ eqangle(X0,X1,X2,X3,sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_16286,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9386,c_116]) ).
cnf(c_16297,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK22)
| midp(sK20,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16286,c_13724]) ).
cnf(c_16507,plain,
( ~ coll(sK22,sK23,X0)
| coll(sK22,X0,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_16508,plain,
( ~ coll(sK22,sK23,sK20)
| coll(sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_16507]) ).
cnf(c_17206,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| para(sK21,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_8226,c_8689]) ).
cnf(c_17263,plain,
( ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| midp(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_17206,c_94]) ).
cnf(c_17292,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| ~ coll(sK25,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| midp(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_17263]) ).
cnf(c_19224,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X3)
| cong(X1,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
cnf(c_19302,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19224]) ).
cnf(c_19730,plain,
( ~ para(sK26,X0,sK26,X1)
| coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_19733,plain,
( ~ para(sK26,sK20,sK26,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19730]) ).
cnf(c_20033,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_20036,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20033]) ).
cnf(c_20110,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_8226,c_8823]) ).
cnf(c_20112,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8438,c_8823]) ).
cnf(c_20122,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_20110,c_94]) ).
cnf(c_20136,plain,
( ~ coll(sK22,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20122]) ).
cnf(c_20146,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_20112,c_53]) ).
cnf(c_24722,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_7650,c_72]) ).
cnf(c_24942,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_24943,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_24942]) ).
cnf(c_28774,plain,
( ~ perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X2,X3)
| ~ coll(sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_13976,c_57]) ).
cnf(c_28877,plain,
( ~ perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK26,sK20,sK25)
| ~ coll(sK25,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28774]) ).
cnf(c_29920,plain,
( ~ perp(sK16(sK20,sK22,sK21,X0,X1),sK20,X2,X3)
| ~ coll(sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14117,c_57]) ).
cnf(c_30023,plain,
( ~ perp(sK16(sK20,sK22,sK21,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29920]) ).
cnf(c_30748,plain,
( ~ coll(sK26,X0,X1)
| ~ coll(sK26,X0,sK20)
| coll(sK20,X1,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_30749,plain,
( ~ coll(sK26,sK20,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_30748]) ).
cnf(c_30956,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK20)
| coll(sK20,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_30957,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_30956]) ).
cnf(c_31144,plain,
( ~ midp(X0,X1,X0)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_24722,c_8054]) ).
cnf(c_31822,plain,
( ~ midp(X0,X1,X0)
| para(X0,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_31144,c_52]) ).
cnf(c_32542,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK20,sK23,X0,X1)
| perp(sK20,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_33393,plain,
( ~ coll(sK23,sK20,sK22)
| midp(sK21,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_12943,c_176,c_7541,c_7620,c_7672,c_7851,c_8145,c_10149,c_10753,c_13278,c_19302,c_30023]) ).
cnf(c_35424,plain,
( ~ eqangle(sK20,sK21,sK20,X0,sK22,sK21,sK22,sK20)
| eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_35425,plain,
( ~ eqangle(sK20,sK21,sK20,sK20,sK22,sK21,sK22,sK20)
| eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_35424]) ).
cnf(c_39850,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| ~ perp(sK20,sK26,sK11(sK20,sK28,sK30,sK26),sK20)
| para(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_12285]) ).
cnf(c_40676,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20)
| para(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_14831]) ).
cnf(c_52543,plain,
( ~ para(sK20,sK26,sK26,sK20)
| para(sK26,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_52669,plain,
( ~ para(sK20,sK23,sK23,sK20)
| para(sK23,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_55607,plain,
( ~ perp(sK23,sK20,X0,X1)
| ~ para(sK20,sK23,sK23,sK20)
| perp(sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_32542]) ).
cnf(c_55608,plain,
( ~ para(sK20,sK23,sK23,sK20)
| ~ perp(sK23,sK20,sK20,sK20)
| perp(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_55607]) ).
cnf(c_59735,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_5924,c_102]) ).
cnf(c_59737,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_5920,c_102]) ).
cnf(c_59904,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK25,sK21) ),
inference(superposition,[status(thm)],[c_59735,c_55]) ).
cnf(c_59939,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_59737,c_56]) ).
cnf(c_59940,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_59737,c_55]) ).
cnf(c_60057,plain,
( ~ cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X3)
| circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_60]) ).
cnf(c_60298,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK25,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_59904,c_56]) ).
cnf(c_60439,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_59939,c_57]) ).
cnf(c_60457,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_59940,c_56]) ).
cnf(c_61600,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| para(sK21,sK22,sK21,sK25) ),
inference(superposition,[status(thm)],[c_59735,c_60439]) ).
cnf(c_61786,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| para(sK21,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_61600,c_53]) ).
cnf(c_65064,plain,
( ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_60298,c_104]) ).
cnf(c_65584,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_60457,c_104]) ).
cnf(c_74805,plain,
( ~ coll(sK28,X0,X1)
| ~ coll(sK28,X0,X2)
| coll(X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_74806,plain,
( ~ coll(sK28,sK20,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_74805]) ).
cnf(c_85211,plain,
( ~ coll(sK26,sK20,sK25)
| cong(sK25,sK20,sK25,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_65064,c_176,c_7620,c_7667,c_7672,c_7851,c_8145,c_10149,c_10311,c_10721,c_13280,c_19302,c_28877]) ).
cnf(c_85220,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK25,sK20,sK21)
| midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_85211,c_116]) ).
cnf(c_91586,plain,
( ~ eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2)
| cyclic(X1,X2,X0,sK28)
| coll(X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_91587,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28)
| coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_91586]) ).
cnf(c_91684,plain,
( ~ coll(sK23,sK20,sK22)
| cong(sK22,sK20,sK22,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_65584,c_10421,c_33393]) ).
cnf(c_91691,plain,
( ~ midp(sK22,sK20,X0)
| ~ coll(sK23,sK20,sK22)
| circle(sK22,sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_91684,c_60057]) ).
cnf(c_91757,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| circle(sK22,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_91691]) ).
cnf(c_92538,plain,
( ~ para(sK28,X0,sK28,X1)
| coll(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_92541,plain,
( ~ para(sK28,sK20,sK28,sK20)
| coll(sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92538]) ).
cnf(c_95825,plain,
( ~ para(sK26,sK20,sK20,sK26)
| para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_95967,plain,
( ~ para(sK23,sK20,sK20,sK23)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_97882,plain,
( ~ para(sK11(sK20,sK24,sK29,sK23),sK20,X0,X1)
| para(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_97883,plain,
( ~ para(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK20)
| para(sK20,sK20,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_97882]) ).
cnf(c_99144,plain,
para(sK21,sK25,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_61786,c_2332,c_2578,c_7451,c_7468,c_7539,c_7543,c_8619,c_8618,c_8994,c_9213,c_9855,c_9854,c_13079,c_13653,c_17206,c_19733,c_20036,c_30749,c_30957,c_39850,c_40676,c_52543,c_52669,c_95825,c_95967]) ).
cnf(c_99147,plain,
( ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_99144,c_94]) ).
cnf(c_107142,plain,
( ~ para(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20)
| eqangle(X0,X1,sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_107143,plain,
( ~ eqangle(X0,X1,sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| perp(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_14955]) ).
cnf(c_107144,plain,
( ~ para(sK20,sK20,sK11(sK20,sK24,sK29,sK23),sK20)
| eqangle(sK20,sK20,sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_107142]) ).
cnf(c_107145,plain,
( ~ eqangle(sK20,sK20,sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| perp(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_107143]) ).
cnf(c_115810,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK20,sK23,X0,X1)
| para(sK20,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_115811,plain,
( ~ perp(sK20,sK23,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115810]) ).
cnf(c_117322,plain,
( ~ para(X0,sK23,X1,X2)
| ~ perp(X1,X2,sK23,X3)
| perp(X0,sK23,sK23,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_117323,plain,
( ~ para(sK20,sK23,sK20,sK20)
| ~ perp(sK20,sK20,sK23,sK20)
| perp(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_117322]) ).
cnf(c_139817,plain,
( ~ eqangle(sK23,sK28,sK23,sK22,sK21,sK28,sK21,sK22)
| ~ coll(sK23,sK21,sK22)
| cyclic(sK28,sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_150398,plain,
( ~ cong(X0,X1,X0,sK28)
| ~ coll(X0,X1,sK28)
| midp(X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_150399,plain,
( ~ cong(sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| midp(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_150398]) ).
cnf(c_152231,plain,
( ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK25,X0,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_17263,c_99147]) ).
cnf(c_152239,plain,
( ~ midp(sK21,sK20,sK21)
| midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_5922,c_152231]) ).
cnf(c_152616,plain,
midp(sK25,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_152239,c_168,c_2332,c_2578,c_7451,c_7468,c_7538,c_7539,c_7543,c_7851,c_8145,c_8619,c_8618,c_8994,c_9213,c_9855,c_9854,c_12500,c_13079,c_13653,c_17292,c_19733,c_20036,c_30749,c_30957,c_39850,c_40676,c_52543,c_52669,c_85220,c_95825,c_95967]) ).
cnf(c_152618,plain,
( ~ midp(sK25,X0,X1)
| para(sK20,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_152616,c_112]) ).
cnf(c_152621,plain,
midp(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_152616,c_59]) ).
cnf(c_152672,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK25,X0,X2)
| ~ midp(sK20,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_152618,c_94]) ).
cnf(c_152674,plain,
( ~ para(sK22,X0,X1,X2)
| ~ midp(sK25,X3,X0)
| para(sK20,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_152618,c_54]) ).
cnf(c_154046,plain,
( ~ midp(sK25,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| para(sK20,X0,sK21,sK22) ),
inference(superposition,[status(thm)],[c_20146,c_152674]) ).
cnf(c_154053,plain,
( ~ midp(sK22,X0,sK22)
| ~ midp(sK25,X1,sK22)
| para(sK20,X1,X0,sK22) ),
inference(superposition,[status(thm)],[c_31822,c_152674]) ).
cnf(c_154129,plain,
( ~ midp(sK22,sK20,sK22)
| ~ midp(sK25,sK20,sK22)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_154053]) ).
cnf(c_154132,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| para(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_154046]) ).
cnf(c_155212,plain,
( ~ midp(sK20,sK20,sK22)
| ~ midp(sK25,sK22,sK20)
| midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7669,c_152672]) ).
cnf(c_158042,plain,
( ~ midp(sK20,sK20,sK22)
| midp(sK22,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_155212,c_152621]) ).
cnf(c_169564,plain,
( ~ cong(X0,X1,sK28,X1)
| ~ cong(X0,X2,sK28,X2)
| perp(X0,sK28,X1,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_169565,plain,
( ~ cong(sK20,sK20,sK28,sK20)
| perp(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_169564]) ).
cnf(c_171804,plain,
( ~ circle(sK22,sK20,sK21,X0)
| ~ midp(sK20,sK21,X0)
| eqangle(sK20,sK21,sK20,X0,sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_171805,plain,
( ~ circle(sK22,sK20,sK21,sK20)
| ~ midp(sK20,sK21,sK20)
| eqangle(sK20,sK21,sK20,sK20,sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_171804]) ).
cnf(c_172549,plain,
( ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK21)
| coll(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_172550,plain,
( ~ coll(sK22,sK20,sK23)
| ~ coll(sK22,sK20,sK21)
| coll(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_172549]) ).
cnf(c_172556,plain,
( ~ cong(X0,X1,X0,sK28)
| ~ cong(X0,X1,X0,sK22)
| ~ cong(X0,X1,X0,sK23)
| cyclic(X1,sK28,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_172557,plain,
( ~ cong(sK20,sK20,sK20,sK28)
| ~ cong(sK20,sK20,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK23)
| cyclic(sK20,sK28,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_172556]) ).
cnf(c_172695,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK28,sK21,sK22)
| ~ eqangle(sK23,sK28,sK23,sK22,X0,X1,X2,X3)
| eqangle(sK23,sK28,sK23,sK22,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_172954,plain,
( ~ cong(X0,X1,sK28,X0)
| cong(X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_172955,plain,
( ~ cong(sK20,sK20,sK28,sK20)
| cong(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_172954]) ).
cnf(c_173138,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK28)
| eqangle(X2,X3,X0,X1,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_173144,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,sK21,sK28,sK21,sK22)
| eqangle(X0,X1,X2,X3,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_173149,plain,
( ~ eqangle(X0,sK28,X0,sK22,sK21,sK28,sK21,sK22)
| ~ eqangle(sK23,sK28,sK23,sK22,X0,sK28,X0,sK22)
| eqangle(sK23,sK28,sK23,sK22,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_172695]) ).
cnf(c_173151,plain,
( ~ eqangle(sK23,sK28,sK23,sK22,sK20,sK28,sK20,sK22)
| ~ eqangle(sK20,sK28,sK20,sK22,sK21,sK28,sK21,sK22)
| eqangle(sK23,sK28,sK23,sK22,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_173149]) ).
cnf(c_174130,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,sK28)
| ~ cong(X0,X1,X0,sK22)
| cyclic(X1,sK28,sK22,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_174131,plain,
( ~ cong(sK20,sK20,sK20,sK28)
| ~ cong(sK20,sK20,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK28,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_174130]) ).
cnf(c_174431,plain,
( ~ perp(X0,sK28,sK28,X1)
| ~ midp(X0,X0,X1)
| cong(X0,X0,sK28,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_174432,plain,
( ~ perp(sK20,sK28,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_174431]) ).
cnf(c_174672,plain,
( ~ eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK28,sK28,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_174673,plain,
( ~ eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_174672]) ).
cnf(c_174748,plain,
( ~ perp(X0,sK28,X1,X2)
| ~ perp(X1,X2,X3,sK22)
| para(X0,sK28,X3,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_174751,plain,
( ~ perp(sK20,sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK22)
| para(sK20,sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_174748]) ).
cnf(c_174864,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(sK22,X0,X2)
| cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_174865,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ midp(sK22,sK20,sK20)
| cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_174864]) ).
cnf(c_174895,plain,
( ~ eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2)
| ~ coll(X0,sK28,X2)
| cyclic(X1,X2,X0,sK28) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_174896,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| ~ coll(sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_174895]) ).
cnf(c_175832,plain,
( ~ midp(X0,X1,sK21)
| ~ midp(X2,X1,sK28)
| para(X0,X2,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_175833,plain,
( ~ midp(sK20,sK20,sK28)
| ~ midp(sK20,sK20,sK21)
| para(sK20,sK20,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_175832]) ).
cnf(c_176109,plain,
( ~ eqangle(X0,X1,sK21,sK28,sK21,sK22,sK21,sK28)
| eqangle(sK21,sK28,X0,X1,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_173138]) ).
cnf(c_176110,plain,
( ~ para(X0,X1,sK21,sK22)
| eqangle(X0,X1,sK21,sK28,sK21,sK22,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_176111,plain,
( ~ eqangle(sK20,sK20,sK21,sK28,sK21,sK22,sK21,sK28)
| eqangle(sK21,sK28,sK20,sK20,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_176109]) ).
cnf(c_176112,plain,
( ~ para(sK20,sK20,sK21,sK22)
| eqangle(sK20,sK20,sK21,sK28,sK21,sK22,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_176110]) ).
cnf(c_177796,plain,
( ~ cyclic(X0,sK28,sK22,X1)
| ~ cyclic(X0,sK28,sK22,sK23)
| cyclic(sK28,sK22,sK23,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_177797,plain,
( ~ cyclic(sK20,sK28,sK22,sK23)
| ~ cyclic(sK20,sK28,sK22,sK20)
| cyclic(sK28,sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_177796]) ).
cnf(c_178622,plain,
( ~ midp(X0,X1,sK21)
| midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_178623,plain,
( ~ midp(sK20,sK20,sK21)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_178622]) ).
cnf(c_180606,plain,
( ~ midp(X0,X1,sK22)
| cong(X0,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_180607,plain,
( ~ midp(sK20,sK20,sK22)
| cong(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_180606]) ).
cnf(c_180656,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK28,X4,X5)
| ~ eqangle(sK21,sK28,X4,X5,sK21,sK28,sK21,sK22)
| eqangle(X0,X1,X2,X3,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_173144]) ).
cnf(c_180657,plain,
( ~ eqangle(sK21,sK28,sK20,sK20,sK21,sK28,sK21,sK22)
| ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK28,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_180656]) ).
cnf(c_180889,plain,
( ~ cyclic(X0,X1,X2,sK28)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_180890,plain,
( ~ cyclic(sK20,sK20,sK20,sK28)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_180889]) ).
cnf(c_181987,plain,
( ~ eqangle(sK28,X0,sK28,X0,X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4)
| para(sK28,X0,sK28,X0) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_181990,plain,
( ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20)
| para(sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_181987]) ).
cnf(c_182887,plain,
( ~ para(X0,sK28,X1,sK22)
| eqangle(X0,sK28,X2,X3,X1,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_182888,plain,
( ~ para(sK20,sK28,sK20,sK22)
| eqangle(sK20,sK28,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_182887]) ).
cnf(c_183212,plain,
( ~ para(X0,X1,sK21,sK28)
| eqangle(X0,X1,X2,X3,sK21,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_183213,plain,
( ~ para(sK20,sK20,sK21,sK28)
| eqangle(sK20,sK20,sK20,sK20,sK21,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_183212]) ).
cnf(c_184360,plain,
( ~ cyclic(sK28,sK22,sK23,X0)
| eqangle(sK23,sK28,sK23,sK22,X0,sK28,X0,sK22) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_184362,plain,
( ~ cyclic(sK28,sK22,sK23,sK20)
| eqangle(sK23,sK28,sK23,sK22,sK20,sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_184360]) ).
cnf(c_185333,plain,
( ~ para(X0,X1,X2,sK22)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK22)
| midp(X1,X3,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_185334,plain,
( ~ para(sK20,sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_185333]) ).
cnf(c_186548,plain,
( ~ eqangle(X0,X1,sK28,X1,X0,X2,sK28,X2)
| eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_186549,plain,
( ~ eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_186548]) ).
cnf(c_186925,plain,
( ~ eqangle(sK28,X0,sK28,X1,X2,X3,X4,X5)
| eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_186926,plain,
( ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_186925]) ).
cnf(c_186960,plain,
( ~ eqangle(X0,sK28,X1,X2,X3,sK22,X4,X5)
| eqangle(X0,sK28,X3,sK22,X1,X2,X4,X5) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_186961,plain,
( ~ eqangle(sK20,sK28,sK20,sK20,sK20,sK22,sK20,sK20)
| eqangle(sK20,sK28,sK20,sK22,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_186960]) ).
cnf(c_188150,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK22,X1,sK22)
| perp(X0,X1,X1,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_188151,plain,
( ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_188150]) ).
cnf(c_189161,plain,
( ~ cyclic(X0,X1,sK28,X2)
| eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_189163,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_189161]) ).
cnf(c_189193,plain,
( ~ para(X0,X1,X0,X2)
| eqangle(X0,X1,sK28,X1,X0,X2,sK28,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_189194,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_189193]) ).
cnf(c_190518,plain,
( ~ cong(X0,X1,sK23,X0)
| cong(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_190519,plain,
( ~ cong(sK20,sK20,sK23,sK20)
| cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_190518]) ).
cnf(c_192031,plain,
( ~ perp(X0,sK23,sK23,X1)
| ~ midp(X0,X0,X1)
| cong(X0,X0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_192032,plain,
( ~ perp(sK20,sK23,sK23,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_192031]) ).
cnf(c_193905,plain,
( ~ eqangle(X0,sK28,X0,sK22,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,sK21,sK28,sK21,sK22)
| eqangle(X0,sK28,X0,sK22,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_173144]) ).
cnf(c_193906,plain,
( ~ eqangle(sK20,sK28,sK20,sK22,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK28,sK21,sK22)
| eqangle(sK20,sK28,sK20,sK22,sK21,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_193905]) ).
cnf(c_193907,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_193906,c_192032,c_190519,c_189194,c_189163,c_188151,c_186961,c_186926,c_186549,c_185334,c_184362,c_183213,c_182888,c_181990,c_180890,c_180657,c_180607,c_178623,c_177797,c_176112,c_176111,c_175833,c_174896,c_174865,c_174751,c_174673,c_174432,c_174131,c_173151,c_172955,c_172557,c_172550,c_171805,c_169565,c_158042,c_154132,c_154129,c_150399,c_139817,c_117323,c_115811,c_107145,c_107144,c_97883,c_95967,c_95825,c_92541,c_91757,c_91587,c_85220,c_74806,c_55608,c_52669,c_52543,c_40676,c_39850,c_35425,c_30957,c_30749,c_28877,c_24943,c_20136,c_20036,c_19733,c_19302,c_17292,c_16508,c_16297,c_14952,c_13653,c_13280,c_13079,c_12500,c_10149,c_9854,c_9855,c_9213,c_8994,c_8798,c_8618,c_8619,c_8145,c_7851,c_7672,c_7667,c_7620,c_7600,c_7543,c_7539,c_7538,c_7468,c_7451,c_2578,c_2332,c_1910,c_185,c_176,c_162,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 09:24:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 71.54/10.69 % SZS status Started for theBenchmark.p
% 71.54/10.69 % SZS status Theorem for theBenchmark.p
% 71.54/10.69
% 71.54/10.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 71.54/10.69
% 71.54/10.69 ------ iProver source info
% 71.54/10.69
% 71.54/10.69 git: date: 2024-06-12 09:56:46 +0000
% 71.54/10.69 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 71.54/10.69 git: non_committed_changes: false
% 71.54/10.69
% 71.54/10.69 ------ Parsing...
% 71.54/10.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 71.54/10.69
% 71.54/10.69 ------ 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
% 71.54/10.69
% 71.54/10.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 71.54/10.69
% 71.54/10.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 71.54/10.69 ------ Proving...
% 71.54/10.69 ------ Problem Properties
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69 clauses 121
% 71.54/10.69 conjectures 9
% 71.54/10.69 EPR 84
% 71.54/10.69 Horn 111
% 71.54/10.69 unary 9
% 71.54/10.69 binary 37
% 71.54/10.69 lits 337
% 71.54/10.69 lits eq 4
% 71.54/10.69 fd_pure 0
% 71.54/10.69 fd_pseudo 0
% 71.54/10.69 fd_cond 0
% 71.54/10.69 fd_pseudo_cond 4
% 71.54/10.69 AC symbols 0
% 71.54/10.69
% 71.54/10.69 ------ Schedule dynamic 5 is on
% 71.54/10.69
% 71.54/10.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69 ------
% 71.54/10.69 Current options:
% 71.54/10.69 ------
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69 ------ Proving...
% 71.54/10.69
% 71.54/10.69
% 71.54/10.69 % SZS status Theorem for theBenchmark.p
% 71.54/10.69
% 71.54/10.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 71.54/10.70
% 71.54/10.70
%------------------------------------------------------------------------------