TSTP Solution File: GEO633+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO633+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:13 EDT 2023
% Result : Theorem 35.70s 5.71s
% Output : CNFRefutation 35.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 38
% Syntax : Number of formulae : 482 ( 122 unt; 0 def)
% Number of atoms : 1139 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 1150 ( 493 ~; 483 |; 114 &)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-6 aty)
% Number of variables : 1248 ( 0 sgn; 829 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(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(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD65) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD75) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X6,X16] :
? [X8] :
( ( midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> ( para(X8,X16,X0,X2)
& para(X8,X6,X1,X3)
& midp(X8,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X19,X16,X12,X13] :
( ( coll(X13,X0,X2)
& perp(X13,X16,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X16,X0,X1)
& coll(X16,X0,X18)
& coll(X19,X1,X2)
& eqangle(X19,X0,X0,X1,X2,X0,X0,X18)
& midp(X18,X2,X1) )
=> perp(X12,X13,X0,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X19,X16,X12,X13] :
( ( coll(X13,X0,X2)
& perp(X13,X16,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X16,X0,X1)
& coll(X16,X0,X18)
& coll(X19,X1,X2)
& eqangle(X19,X0,X0,X1,X2,X0,X0,X18)
& midp(X18,X2,X1) )
=> perp(X12,X13,X0,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
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(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(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(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(rectify,[],[f82]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> perp(X6,X7,X0,X4) ),
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(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(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f108]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(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(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f144]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f265]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f282]) ).
fof(f294,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f154]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f294]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) ),
inference(flattening,[],[f319]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) )
=> ( ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f295,f331]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> ( ~ perp(sK26,sK27,sK20,sK24)
& coll(sK27,sK20,sK22)
& perp(sK27,sK25,sK20,sK22)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& coll(sK25,sK20,sK23)
& coll(sK24,sK21,sK22)
& eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
& midp(sK23,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK26,sK27,sK20,sK24)
& coll(sK27,sK20,sK22)
& perp(sK27,sK25,sK20,sK22)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& coll(sK25,sK20,sK23)
& coll(sK24,sK21,sK22)
& eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
& midp(sK23,sK22,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(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(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f205]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(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(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f266]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f283]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X4,X5] :
( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f473,plain,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ perp(sK26,sK27,sK20,sK24),
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_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_77,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_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_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_114,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_124,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_137,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X4,X5)
| midp(sK5(X1,X2,X4,X5,X0,X3),X1,X5) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_162,negated_conjecture,
~ perp(sK26,sK27,sK20,sK24),
inference(cnf_transformation,[],[f481]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f480]) ).
cnf(c_164,negated_conjecture,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f479]) ).
cnf(c_165,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_166,negated_conjecture,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_167,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23),
inference(cnf_transformation,[],[f474]) ).
cnf(c_170,negated_conjecture,
midp(sK23,sK22,sK21),
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_5825,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_5826,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_5827,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_5828,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_168,c_49]) ).
cnf(c_5833,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_5834,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_5835,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_5836,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_168,c_50]) ).
cnf(c_5841,plain,
midp(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_170,c_59]) ).
cnf(c_5846,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_170,c_118]) ).
cnf(c_5847,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_5825,c_50]) ).
cnf(c_5849,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_5826,c_50]) ).
cnf(c_5851,plain,
coll(sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_5827,c_50]) ).
cnf(c_5853,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_5828,c_50]) ).
cnf(c_5858,plain,
coll(sK20,sK21,sK26),
inference(superposition,[status(thm)],[c_5834,c_49]) ).
cnf(c_5863,plain,
coll(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_5841,c_118]) ).
cnf(c_5899,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_5863,c_50]) ).
cnf(c_5912,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_5899,c_49]) ).
cnf(c_5919,plain,
perp(sK27,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_164,c_55]) ).
cnf(c_5920,plain,
perp(sK26,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_5925,plain,
perp(sK20,sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_5926,plain,
perp(sK20,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_5942,plain,
perp(sK20,sK22,sK25,sK27),
inference(superposition,[status(thm)],[c_5925,c_55]) ).
cnf(c_5944,plain,
perp(sK20,sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_5926,c_55]) ).
cnf(c_5969,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_5991,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_5969,c_72]) ).
cnf(c_6008,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_5991,c_71]) ).
cnf(c_6023,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_6008,c_72]) ).
cnf(c_6045,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_6046,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6049,plain,
( ~ coll(sK27,sK22,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_5825,c_51]) ).
cnf(c_6050,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_5826,c_51]) ).
cnf(c_6051,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_5827,c_51]) ).
cnf(c_6052,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_5828,c_51]) ).
cnf(c_6053,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_5833,c_51]) ).
cnf(c_6054,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_5834,c_51]) ).
cnf(c_6055,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_5835,c_51]) ).
cnf(c_6056,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_5836,c_51]) ).
cnf(c_6057,plain,
( ~ coll(sK23,sK22,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_5846,c_51]) ).
cnf(c_6058,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_5847,c_51]) ).
cnf(c_6059,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_5849,c_51]) ).
cnf(c_6060,plain,
( ~ coll(sK23,sK25,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_5851,c_51]) ).
cnf(c_6061,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_5853,c_51]) ).
cnf(c_6063,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_5858,c_51]) ).
cnf(c_6074,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK23,X0,sK21) ),
inference(superposition,[status(thm)],[c_5912,c_51]) ).
cnf(c_6146,plain,
( ~ coll(sK23,sK25,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6060]) ).
cnf(c_6147,plain,
( ~ coll(sK21,sK26,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6059]) ).
cnf(c_6148,plain,
( ~ coll(sK22,sK27,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6058]) ).
cnf(c_6163,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_163,c_6045]) ).
cnf(c_6164,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK27,X0,sK22) ),
inference(superposition,[status(thm)],[c_6163,c_51]) ).
cnf(c_6173,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_165,c_6046]) ).
cnf(c_6196,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_6173,c_51]) ).
cnf(c_6249,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_5825,c_6049]) ).
cnf(c_6253,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_6249,c_49]) ).
cnf(c_6261,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5826,c_6050]) ).
cnf(c_6296,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6253,c_51]) ).
cnf(c_6297,plain,
coll(sK27,sK20,sK20),
inference(superposition,[status(thm)],[c_6253,c_50]) ).
cnf(c_6301,plain,
( ~ coll(sK20,sK27,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6296]) ).
cnf(c_6308,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6261,c_49]) ).
cnf(c_6316,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5827,c_6051]) ).
cnf(c_6320,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6316,c_49]) ).
cnf(c_6332,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5828,c_6052]) ).
cnf(c_6336,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6332,c_49]) ).
cnf(c_6345,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_6253,c_6053]) ).
cnf(c_6381,plain,
( ~ midp(X0,sK22,X1)
| para(sK23,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_170,c_93]) ).
cnf(c_6382,plain,
( ~ midp(X0,sK21,X1)
| para(sK23,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_5841,c_93]) ).
cnf(c_6405,plain,
( ~ midp(sK23,X0,X1)
| para(sK22,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_170,c_112]) ).
cnf(c_6406,plain,
( ~ midp(sK23,X0,X1)
| para(sK21,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_5841,c_112]) ).
cnf(c_6424,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_6308,c_50]) ).
cnf(c_6426,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6308,c_6054]) ).
cnf(c_6433,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_6320,c_6055]) ).
cnf(c_6449,plain,
( ~ midp(X0,sK22,X1)
| para(sK21,X1,sK23,X0) ),
inference(superposition,[status(thm)],[c_6381,c_53]) ).
cnf(c_6450,plain,
( ~ midp(X0,sK22,X1)
| para(sK23,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6381,c_52]) ).
cnf(c_6465,plain,
( ~ midp(sK23,X0,X1)
| para(sK21,X1,sK22,X0) ),
inference(superposition,[status(thm)],[c_6405,c_53]) ).
cnf(c_6466,plain,
( ~ midp(sK23,X0,X1)
| para(sK22,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6405,c_52]) ).
cnf(c_6490,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5836,c_6056]) ).
cnf(c_6491,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_6336,c_6056]) ).
cnf(c_6502,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_6490,c_49]) ).
cnf(c_6510,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_5846,c_6057]) ).
cnf(c_6513,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6510,c_49]) ).
cnf(c_6542,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6023,c_116]) ).
cnf(c_6615,plain,
( ~ para(X0,sK24,X1,sK22)
| ~ midp(X0,sK21,X1)
| ~ coll(sK24,sK21,sK22)
| midp(sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_6616,plain,
( ~ para(sK20,sK24,sK20,sK22)
| ~ coll(sK24,sK21,sK22)
| ~ midp(sK20,sK21,sK20)
| midp(sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6615]) ).
cnf(c_6627,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_6163,c_6164]) ).
cnf(c_6630,plain,
coll(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_6490,c_6164]) ).
cnf(c_6633,plain,
coll(sK27,sK22,sK27),
inference(superposition,[status(thm)],[c_6627,c_49]) ).
cnf(c_6636,plain,
( ~ para(sK22,X0,sK21,X1)
| ~ para(sK22,X1,sK21,X0)
| ~ midp(sK23,sK22,sK21)
| midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_6651,plain,
coll(sK26,sK26,sK21),
inference(superposition,[status(thm)],[c_6173,c_6196]) ).
cnf(c_6654,plain,
coll(sK26,sK23,sK21),
inference(superposition,[status(thm)],[c_6510,c_6196]) ).
cnf(c_6659,plain,
coll(sK26,sK21,sK26),
inference(superposition,[status(thm)],[c_6651,c_49]) ).
cnf(c_6799,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_6800,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_6803,plain,
( ~ perp(sK27,sK25,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5925,c_57]) ).
cnf(c_6804,plain,
( ~ perp(sK26,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5926,c_57]) ).
cnf(c_6985,plain,
para(sK27,sK25,sK27,sK25),
inference(superposition,[status(thm)],[c_5925,c_6799]) ).
cnf(c_6986,plain,
para(sK27,sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_5942,c_6799]) ).
cnf(c_6991,plain,
para(sK26,sK25,sK26,sK25),
inference(superposition,[status(thm)],[c_5926,c_6800]) ).
cnf(c_6992,plain,
para(sK26,sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_5944,c_6800]) ).
cnf(c_7190,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_6491,c_50]) ).
cnf(c_7196,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_6502,c_50]) ).
cnf(c_7215,plain,
para(sK25,sK27,sK27,sK25),
inference(superposition,[status(thm)],[c_6986,c_53]) ).
cnf(c_7230,plain,
para(sK25,sK26,sK26,sK25),
inference(superposition,[status(thm)],[c_6992,c_53]) ).
cnf(c_7340,plain,
( ~ midp(X0,sK22,X1)
| para(X1,sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_6450,c_53]) ).
cnf(c_7377,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_5853,c_6061]) ).
cnf(c_7399,plain,
eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_169,c_66]) ).
cnf(c_7491,plain,
( ~ midp(sK23,X0,X1)
| para(X1,sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6466,c_53]) ).
cnf(c_7562,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK23,sK21,sK22)
| midp(sK5(sK21,sK22,X1,X2,sK23,X0),sK21,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_7602,plain,
eqangle(sK22,sK20,sK20,sK23,sK24,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_169,c_68]) ).
cnf(c_7603,plain,
eqangle(sK22,sK20,sK20,sK23,sK20,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_7399,c_68]) ).
cnf(c_7624,plain,
eqangle(sK20,sK24,sK22,sK20,sK20,sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_7399,c_69]) ).
cnf(c_7650,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_6630,c_49]) ).
cnf(c_7675,plain,
coll(sK20,sK27,sK27),
inference(superposition,[status(thm)],[c_6633,c_6049]) ).
cnf(c_7814,plain,
coll(sK26,sK21,sK23),
inference(superposition,[status(thm)],[c_6654,c_49]) ).
cnf(c_7828,plain,
coll(sK20,sK26,sK26),
inference(superposition,[status(thm)],[c_6659,c_6050]) ).
cnf(c_8203,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_8216,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8203]) ).
cnf(c_8230,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK22,X2)
| ~ midp(sK23,X1,sK21)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6381,c_94]) ).
cnf(c_8231,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ midp(sK23,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6382,c_94]) ).
cnf(c_8233,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK23,X0,X2)
| ~ midp(sK21,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6406,c_94]) ).
cnf(c_8234,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X2,sK22,X0)
| ~ midp(sK21,X1,sK23)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6449,c_94]) ).
cnf(c_8236,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK23,X2,X0)
| ~ midp(sK21,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6465,c_94]) ).
cnf(c_8237,plain,
( ~ coll(X0,X1,sK21)
| ~ midp(sK22,X1,X2)
| ~ midp(sK23,X0,X2)
| midp(X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6466,c_94]) ).
cnf(c_8406,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_6803]) ).
cnf(c_8407,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5919,c_6803]) ).
cnf(c_8422,plain,
( ~ para(sK22,sK20,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8407,c_54]) ).
cnf(c_8423,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_8407,c_53]) ).
cnf(c_8432,plain,
( ~ para(sK22,sK20,sK20,sK20)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8422]) ).
cnf(c_8451,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_6804]) ).
cnf(c_8452,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5920,c_6804]) ).
cnf(c_8459,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_8451,c_94]) ).
cnf(c_8741,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_8452,c_53]) ).
cnf(c_8792,plain,
( ~ midp(sK20,sK23,sK20)
| midp(sK21,sK23,sK21) ),
inference(superposition,[status(thm)],[c_6513,c_8459]) ).
cnf(c_9090,plain,
( ~ midp(sK20,sK22,sK20)
| midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7190,c_8459]) ).
cnf(c_9600,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_7377,c_6196]) ).
cnf(c_9626,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_7650,c_50]) ).
cnf(c_10012,plain,
( ~ para(sK27,sK25,sK27,sK25)
| ~ midp(X0,sK27,sK27)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_6985,c_113]) ).
cnf(c_10014,plain,
( ~ para(sK26,sK25,sK26,sK25)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_6991,c_113]) ).
cnf(c_10016,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_8406,c_113]) ).
cnf(c_10018,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8451,c_113]) ).
cnf(c_10025,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10018,c_8451]) ).
cnf(c_10031,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10016,c_8406]) ).
cnf(c_10037,plain,
( ~ midp(X0,sK26,sK26)
| midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10014,c_6991]) ).
cnf(c_10043,plain,
( ~ midp(X0,sK27,sK27)
| midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10012,c_6985]) ).
cnf(c_10086,plain,
( ~ midp(sK20,sK27,sK27)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_10043]) ).
cnf(c_10087,plain,
( ~ midp(sK20,sK26,sK26)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_10037]) ).
cnf(c_10088,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10031]) ).
cnf(c_10089,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_10025]) ).
cnf(c_10124,plain,
( ~ para(sK20,sK21,sK20,sK23)
| para(sK20,sK24,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7624,c_122]) ).
cnf(c_10972,plain,
coll(sK20,sK23,sK26),
inference(superposition,[status(thm)],[c_7814,c_6050]) ).
cnf(c_11039,plain,
( ~ midp(sK20,sK22,sK26)
| ~ midp(sK23,sK21,sK21)
| midp(sK20,sK21,sK26) ),
inference(superposition,[status(thm)],[c_5858,c_8230]) ).
cnf(c_13505,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_5912,c_6074]) ).
cnf(c_13693,plain,
coll(sK26,sK21,sK22),
inference(superposition,[status(thm)],[c_9600,c_49]) ).
cnf(c_13731,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_9626,c_6058]) ).
cnf(c_14315,plain,
( ~ eqangle(sK22,sK20,sK20,sK23,X0,X1,X2,X3)
| eqangle(sK24,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_169,c_70]) ).
cnf(c_14318,plain,
( ~ eqangle(sK24,sK20,sK20,sK21,X0,X1,X2,X3)
| eqangle(sK22,sK20,sK20,sK23,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7602,c_70]) ).
cnf(c_14607,plain,
eqangle(sK24,sK20,sK20,sK21,sK20,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_7603,c_14315]) ).
cnf(c_14652,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_14607,c_87]) ).
cnf(c_15440,plain,
( ~ midp(sK23,sK22,sK21)
| ~ midp(sK23,sK21,sK22)
| midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7562]) ).
cnf(c_15667,plain,
eqangle(sK22,sK20,sK20,sK23,sK22,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_169,c_14318]) ).
cnf(c_15721,plain,
eqangle(sK20,sK23,sK22,sK20,sK20,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_15667,c_67]) ).
cnf(c_15806,plain,
eqangle(sK23,sK20,sK22,sK20,sK20,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_15721,c_66]) ).
cnf(c_15807,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_15721,c_87]) ).
cnf(c_16291,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_16345,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16291]) ).
cnf(c_16436,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_10972,c_49]) ).
cnf(c_16502,plain,
( ~ midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),sK21,sK21)
| ~ para(sK21,X0,sK21,X1)
| ~ para(sK21,X1,sK21,X0)
| midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_16503,plain,
( ~ midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),sK21,sK21)
| ~ para(sK21,sK20,sK21,sK20)
| midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16502]) ).
cnf(c_18643,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_13693,c_6050]) ).
cnf(c_18736,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_13505,c_49]) ).
cnf(c_19577,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_13731,c_6063]) ).
cnf(c_20384,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_16436,c_6054]) ).
cnf(c_20551,plain,
coll(sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_20384,c_49]) ).
cnf(c_20599,plain,
para(sK25,sK27,sK25,sK27),
inference(superposition,[status(thm)],[c_7215,c_52]) ).
cnf(c_20619,plain,
para(sK25,sK26,sK25,sK26),
inference(superposition,[status(thm)],[c_7230,c_52]) ).
cnf(c_20651,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_8423,c_94]) ).
cnf(c_20652,plain,
( ~ perp(sK20,sK22,X0,X1)
| perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_8423,c_58]) ).
cnf(c_20667,plain,
( ~ perp(sK20,sK22,sK20,sK20)
| perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20652]) ).
cnf(c_20668,plain,
( ~ coll(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20651]) ).
cnf(c_20710,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_8741,c_94]) ).
cnf(c_20714,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_8741,c_52]) ).
cnf(c_20733,plain,
( ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_20710]) ).
cnf(c_21093,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_14652,c_53]) ).
cnf(c_21109,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_15807,c_113]) ).
cnf(c_21119,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21109,c_15807]) ).
cnf(c_21122,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_21119]) ).
cnf(c_23083,plain,
( ~ midp(sK20,sK23,sK23)
| midp(sK23,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6433,c_6542]) ).
cnf(c_23084,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6426,c_6542]) ).
cnf(c_23085,plain,
( ~ midp(sK20,sK22,sK22)
| midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6345,c_6542]) ).
cnf(c_23087,plain,
( ~ midp(sK20,sK26,sK26)
| midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6424,c_6542]) ).
cnf(c_23088,plain,
( ~ midp(sK20,sK27,sK27)
| midp(sK27,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6297,c_6542]) ).
cnf(c_23099,plain,
( ~ midp(sK22,sK21,sK21)
| midp(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7196,c_6542]) ).
cnf(c_23103,plain,
( ~ midp(sK27,sK20,sK20)
| midp(sK20,sK27,sK27) ),
inference(superposition,[status(thm)],[c_7675,c_6542]) ).
cnf(c_23105,plain,
( ~ midp(sK26,sK20,sK20)
| midp(sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_7828,c_6542]) ).
cnf(c_24269,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_15806,c_87]) ).
cnf(c_25942,plain,
( ~ midp(X0,sK22,X1)
| para(X1,sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_7340,c_52]) ).
cnf(c_25970,plain,
( ~ midp(sK20,sK22,sK20)
| para(sK20,sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_25942]) ).
cnf(c_26070,plain,
( ~ midp(sK23,X0,X1)
| para(X1,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7491,c_52]) ).
cnf(c_26098,plain,
( ~ midp(sK23,sK20,sK20)
| para(sK20,sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_26070]) ).
cnf(c_28735,plain,
( ~ midp(X0,X1,sK22)
| midp(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_28736,plain,
( ~ midp(sK20,sK20,sK22)
| midp(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_28735]) ).
cnf(c_28737,plain,
( ~ midp(X0,X1,sK21)
| midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_28738,plain,
( ~ midp(sK20,sK20,sK21)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_28737]) ).
cnf(c_28751,plain,
( ~ midp(X0,X1,sK23)
| midp(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_28752,plain,
( ~ midp(sK20,sK20,sK23)
| midp(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_28751]) ).
cnf(c_29192,plain,
( ~ para(sK22,X0,sK21,sK22)
| ~ para(sK22,sK22,sK21,X0)
| ~ midp(sK23,sK22,sK21)
| midp(sK23,sK22,X0) ),
inference(instantiation,[status(thm)],[c_6636]) ).
cnf(c_29196,plain,
( ~ para(sK22,sK20,sK21,sK22)
| ~ para(sK22,sK22,sK21,sK20)
| ~ midp(sK23,sK22,sK21)
| midp(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_29192]) ).
cnf(c_30491,plain,
( ~ para(sK20,X0,sK22,X1)
| para(sK22,X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_30492,plain,
( ~ para(sK20,sK20,sK22,sK20)
| para(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30491]) ).
cnf(c_33046,plain,
( ~ para(sK25,sK27,sK25,sK27)
| ~ midp(X0,sK25,sK25)
| midp(X0,sK27,sK27) ),
inference(superposition,[status(thm)],[c_20599,c_113]) ).
cnf(c_33056,plain,
( ~ midp(X0,sK25,sK25)
| midp(X0,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33046,c_20599]) ).
cnf(c_33059,plain,
( ~ midp(sK20,sK25,sK25)
| midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_33056]) ).
cnf(c_33134,plain,
( ~ para(sK25,sK26,sK25,sK26)
| ~ midp(X0,sK25,sK25)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_20619,c_113]) ).
cnf(c_33144,plain,
( ~ midp(X0,sK25,sK25)
| midp(X0,sK26,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33134,c_20619]) ).
cnf(c_33147,plain,
( ~ midp(sK20,sK25,sK25)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_33144]) ).
cnf(c_33333,plain,
( ~ perp(sK24,sK20,X0,X1)
| perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_21093,c_58]) ).
cnf(c_33348,plain,
( ~ perp(sK24,sK20,sK20,sK20)
| perp(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33333]) ).
cnf(c_33503,plain,
( ~ midp(sK23,sK20,X0)
| para(sK20,sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_6466,c_8422]) ).
cnf(c_33551,plain,
( ~ para(sK20,sK21,X0,sK22)
| ~ midp(X1,sK20,X0)
| ~ midp(sK23,sK20,X0)
| midp(X1,sK22,sK21) ),
inference(superposition,[status(thm)],[c_33503,c_113]) ).
cnf(c_33577,plain,
( ~ para(sK20,sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ midp(sK23,sK20,sK20)
| midp(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_33551]) ).
cnf(c_33630,plain,
( ~ coll(sK20,X0,sK23)
| ~ midp(sK23,X0,sK20)
| midp(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_24269,c_94]) ).
cnf(c_33647,plain,
( ~ coll(sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK20)
| midp(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_33630]) ).
cnf(c_34763,plain,
( ~ midp(sK21,sK21,sK23)
| ~ midp(sK23,sK20,sK22)
| midp(sK21,sK20,sK23) ),
inference(superposition,[status(thm)],[c_20551,c_8231]) ).
cnf(c_38211,plain,
( ~ midp(sK21,sK22,sK22)
| ~ midp(sK23,sK21,sK23)
| midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_5912,c_8233]) ).
cnf(c_38272,plain,
( ~ midp(sK21,sK21,sK22)
| ~ midp(sK23,sK22,sK21)
| midp(sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_6491,c_8233]) ).
cnf(c_39658,plain,
( ~ midp(sK21,sK21,sK22)
| midp(sK22,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38272,c_170]) ).
cnf(c_41615,plain,
( ~ midp(sK20,sK22,sK26)
| ~ midp(sK21,sK20,sK23)
| midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6424,c_8234]) ).
cnf(c_41831,plain,
( ~ midp(sK26,sK22,sK20)
| ~ midp(sK21,sK22,sK23)
| midp(sK20,sK22,sK26) ),
inference(superposition,[status(thm)],[c_18643,c_8234]) ).
cnf(c_43790,plain,
( ~ midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),X0,X1)
| ~ midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),X2,X3)
| para(X0,X2,X1,X3) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_43791,plain,
( ~ midp(sK5(sK21,sK22,sK22,sK21,sK23,sK23),sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43790]) ).
cnf(c_45431,plain,
( ~ para(X0,sK24,sK22,X1)
| para(X0,sK24,X1,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_45432,plain,
( ~ para(sK20,sK24,sK22,sK20)
| para(sK20,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_45431]) ).
cnf(c_45927,plain,
( ~ midp(sK21,sK21,sK22)
| ~ midp(sK23,sK22,sK24)
| midp(sK24,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_8236]) ).
cnf(c_48106,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK20,X1,sK22)
| para(sK20,X0,sK22,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_48107,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK22)
| para(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_48106]) ).
cnf(c_48116,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| para(X0,sK26,X2,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_48117,plain,
( ~ midp(sK26,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48116]) ).
cnf(c_48792,plain,
( ~ midp(X0,sK22,X1)
| ~ midp(X0,sK22,sK21)
| para(sK22,sK22,sK21,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_48793,plain,
( ~ midp(sK20,sK22,sK20)
| ~ midp(sK20,sK22,sK21)
| para(sK22,sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_48792]) ).
cnf(c_48817,plain,
( ~ midp(X0,X1,sK22)
| ~ midp(X0,sK22,sK21)
| para(sK22,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_48818,plain,
( ~ midp(sK20,sK20,sK22)
| ~ midp(sK20,sK22,sK21)
| para(sK22,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_48817]) ).
cnf(c_49022,plain,
( ~ cong(sK27,sK20,sK27,X0)
| ~ coll(sK27,sK20,X0)
| midp(sK27,sK20,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_49023,plain,
( ~ cong(sK27,sK20,sK27,sK20)
| ~ coll(sK27,sK20,sK20)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_49022]) ).
cnf(c_49568,plain,
midp(sK24,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_45927,c_170,c_168,c_176,c_5841,c_5847,c_5849,c_6147,c_6148,c_6253,c_6301,c_6616,c_8216,c_10088,c_10089,c_10124,c_15440,c_16345,c_16503,c_20668,c_20714,c_20733,c_23085,c_23084,c_25970,c_28736,c_28738,c_43791,c_45432]) ).
cnf(c_49571,plain,
( ~ midp(X0,sK21,X1)
| para(sK24,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_49568,c_93]) ).
cnf(c_49662,plain,
( ~ perp(sK22,X0,X1,X2)
| ~ midp(X3,sK21,X0)
| perp(sK24,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_49571,c_58]) ).
cnf(c_49690,plain,
( ~ perp(sK22,sK20,sK20,sK20)
| ~ midp(sK20,sK21,sK20)
| perp(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_49662]) ).
cnf(c_49732,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_5841,c_8237]) ).
cnf(c_58574,plain,
( ~ perp(X0,sK24,X1,X0)
| perp(X1,X0,X0,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_58575,plain,
( ~ perp(sK20,sK24,sK20,sK20)
| perp(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_58574]) ).
cnf(c_58922,plain,
( ~ midp(sK22,sK23,sK22)
| midp(sK21,sK23,sK21) ),
inference(superposition,[status(thm)],[c_6513,c_49732]) ).
cnf(c_58923,plain,
( ~ midp(sK22,sK22,sK22)
| midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7190,c_49732]) ).
cnf(c_59945,plain,
( ~ midp(sK23,sK22,sK20)
| midp(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_61056,plain,
( ~ para(sK26,sK27,X0,X1)
| ~ perp(X0,X1,sK20,sK24)
| perp(sK26,sK27,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_61057,plain,
( ~ para(sK26,sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK24)
| perp(sK26,sK27,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_61056]) ).
cnf(c_61064,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK20,sK22,X0,X1)
| perp(sK20,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_61065,plain,
( ~ para(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61064]) ).
cnf(c_61684,plain,
midp(sK21,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_58922,c_170,c_176,c_5841,c_5851,c_6146,c_6253,c_6301,c_8216,c_8792,c_15440,c_16345,c_16503,c_20714,c_21122,c_23083,c_28752,c_33647,c_43791]) ).
cnf(c_61689,plain,
midp(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_61684,c_59]) ).
cnf(c_63567,plain,
midp(sK21,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_58923,c_170,c_176,c_5841,c_5847,c_6148,c_6253,c_6301,c_8216,c_9090,c_10088,c_15440,c_16345,c_16503,c_20668,c_20714,c_23085,c_28736,c_43791]) ).
cnf(c_63572,plain,
midp(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_63567,c_59]) ).
cnf(c_63586,plain,
midp(sK22,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_39658,c_63572]) ).
cnf(c_67926,plain,
( ~ midp(sK26,X0,X1)
| ~ midp(sK27,X0,X2)
| para(sK26,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_67927,plain,
( ~ midp(sK26,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| para(sK26,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_67926]) ).
cnf(c_68136,plain,
( ~ para(X0,sK26,X1,sK20)
| ~ midp(X0,sK22,X1)
| ~ coll(sK26,sK22,sK20)
| midp(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_68137,plain,
( ~ para(sK20,sK26,sK20,sK20)
| ~ coll(sK26,sK22,sK20)
| ~ midp(sK20,sK22,sK20)
| midp(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_68136]) ).
cnf(c_68157,plain,
( ~ para(X0,sK23,X1,sK23)
| ~ midp(X0,sK21,X1)
| ~ coll(sK23,sK21,sK23)
| midp(sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_68158,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ coll(sK23,sK21,sK23)
| ~ midp(sK20,sK21,sK20)
| midp(sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_68157]) ).
cnf(c_68659,plain,
~ midp(sK20,sK22,sK26),
inference(global_subsumption_just,[status(thm)],[c_11039,c_170,c_162,c_176,c_185,c_5841,c_5847,c_5849,c_6147,c_6148,c_6253,c_6301,c_8216,c_8432,c_10087,c_10088,c_10089,c_15440,c_16345,c_16503,c_20667,c_20668,c_20714,c_20733,c_21122,c_23105,c_23088,c_23085,c_23084,c_23083,c_26098,c_28736,c_28738,c_29196,c_30492,c_33059,c_33348,c_33577,c_34763,c_41615,c_43791,c_48107,c_48793,c_48818,c_49690,c_58575,c_59945,c_61057,c_61065,c_61689,c_67927]) ).
cnf(c_76458,plain,
( ~ eqratio(sK27,X0,sK27,X1,X2,X3,X4,X5)
| ~ cong(X2,X3,X4,X5)
| cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_76459,plain,
( ~ eqratio(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_76458]) ).
cnf(c_134617,plain,
( ~ eqratio(X0,X1,X2,X3,sK27,sK20,X4,X5)
| eqratio(X0,X1,sK27,sK20,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_150102,plain,
( ~ para(sK20,X0,X1,X2)
| ~ coll(sK27,X0,X2)
| ~ coll(sK27,sK20,X1)
| eqratio(sK27,sK20,sK20,X1,sK27,X0,X0,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_150103,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| eqratio(sK27,sK20,sK20,sK20,sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_150102]) ).
cnf(c_151001,plain,
( ~ eqratio(sK27,X0,X0,X1,sK27,sK20,sK20,X2)
| eqratio(sK27,X0,sK27,sK20,X0,X1,sK20,X2) ),
inference(instantiation,[status(thm)],[c_134617]) ).
cnf(c_151003,plain,
( ~ eqratio(sK27,sK20,sK20,sK20,sK27,sK20,sK20,sK20)
| eqratio(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_151001]) ).
cnf(c_151004,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_151003,c_150103,c_76459,c_68659,c_68158,c_68137,c_63586,c_49023,c_48117,c_43791,c_41831,c_38211,c_33147,c_28738,c_28736,c_23084,c_23085,c_23087,c_23099,c_23103,c_20733,c_20714,c_20668,c_19577,c_18736,c_16503,c_16345,c_15807,c_15440,c_10089,c_10088,c_10086,c_8216,c_6301,c_6297,c_6253,c_6148,c_6147,c_5849,c_5847,c_5841,c_176,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO633+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 21:02:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.70/5.71 % SZS status Started for theBenchmark.p
% 35.70/5.71 % SZS status Theorem for theBenchmark.p
% 35.70/5.71
% 35.70/5.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.70/5.71
% 35.70/5.71 ------ iProver source info
% 35.70/5.71
% 35.70/5.71 git: date: 2023-05-31 18:12:56 +0000
% 35.70/5.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.70/5.71 git: non_committed_changes: false
% 35.70/5.71 git: last_make_outside_of_git: false
% 35.70/5.71
% 35.70/5.71 ------ Parsing...
% 35.70/5.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.70/5.71
% 35.70/5.71 ------ 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
% 35.70/5.71
% 35.70/5.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.70/5.71
% 35.70/5.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 35.70/5.71 ------ Proving...
% 35.70/5.71 ------ Problem Properties
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71 clauses 121
% 35.70/5.71 conjectures 9
% 35.70/5.71 EPR 84
% 35.70/5.71 Horn 111
% 35.70/5.71 unary 9
% 35.70/5.71 binary 37
% 35.70/5.71 lits 337
% 35.70/5.71 lits eq 4
% 35.70/5.71 fd_pure 0
% 35.70/5.71 fd_pseudo 0
% 35.70/5.71 fd_cond 0
% 35.70/5.71 fd_pseudo_cond 4
% 35.70/5.71 AC symbols 0
% 35.70/5.71
% 35.70/5.71 ------ Schedule dynamic 5 is on
% 35.70/5.71
% 35.70/5.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71 ------
% 35.70/5.71 Current options:
% 35.70/5.71 ------
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71 ------ Proving...
% 35.70/5.71
% 35.70/5.71
% 35.70/5.71 % SZS status Theorem for theBenchmark.p
% 35.70/5.71
% 35.70/5.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.70/5.72
% 35.70/5.72
%------------------------------------------------------------------------------