TSTP Solution File: GEO556+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO556+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:44 EDT 2023
% Result : Theorem 35.27s 5.75s
% Output : CNFRefutation 35.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 358 ( 46 unt; 0 def)
% Number of atoms : 1000 ( 0 equ)
% Maximal formula atoms : 32 ( 2 avg)
% Number of connectives : 1086 ( 444 ~; 435 |; 155 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 1028 ( 0 sgn; 656 !; 33 ?)
% 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(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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD49) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
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(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(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(f95,conjecture,
! [X0,X1,X7,X6,X8,X9,X3,X2,X18,X19,X20] :
( ( coll(X20,X8,X19)
& coll(X20,X9,X18)
& coll(X19,X1,X7)
& perp(X19,X8,X1,X7)
& coll(X18,X0,X7)
& perp(X18,X9,X0,X7)
& coll(X2,X1,X7)
& perp(X2,X0,X1,X7)
& coll(X3,X0,X7)
& perp(X3,X1,X0,X7)
& coll(X9,X1,X7)
& perp(X9,X6,X1,X7)
& coll(X8,X0,X7)
& perp(X8,X6,X0,X7)
& coll(X6,X0,X1) )
=> perp(X7,X20,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X7,X6,X8,X9,X3,X2,X18,X19,X20] :
( ( coll(X20,X8,X19)
& coll(X20,X9,X18)
& coll(X19,X1,X7)
& perp(X19,X8,X1,X7)
& coll(X18,X0,X7)
& perp(X18,X9,X0,X7)
& coll(X2,X1,X7)
& perp(X2,X0,X1,X7)
& coll(X3,X0,X7)
& perp(X3,X1,X0,X7)
& coll(X9,X1,X7)
& perp(X9,X6,X1,X7)
& coll(X8,X0,X7)
& perp(X8,X6,X0,X7)
& coll(X6,X0,X1) )
=> perp(X7,X20,X8,X9) ),
inference(negated_conjecture,[],[f95]) ).
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(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(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(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(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) )
=> perp(X2,X10,X4,X5) ),
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(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(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(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f236]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(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(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(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(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X2,X10,X4,X5)
& coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X2,X10,X4,X5)
& coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X2,X10,X4,X5)
& coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) )
=> ( ~ perp(sK22,sK30,sK24,sK25)
& coll(sK30,sK24,sK29)
& coll(sK30,sK25,sK28)
& coll(sK29,sK21,sK22)
& perp(sK29,sK24,sK21,sK22)
& coll(sK28,sK20,sK22)
& perp(sK28,sK25,sK20,sK22)
& coll(sK27,sK21,sK22)
& perp(sK27,sK20,sK21,sK22)
& coll(sK26,sK20,sK22)
& perp(sK26,sK21,sK20,sK22)
& coll(sK25,sK21,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& coll(sK23,sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK22,sK30,sK24,sK25)
& coll(sK30,sK24,sK29)
& coll(sK30,sK25,sK28)
& coll(sK29,sK21,sK22)
& perp(sK29,sK24,sK21,sK22)
& coll(sK28,sK20,sK22)
& perp(sK28,sK25,sK20,sK22)
& coll(sK27,sK21,sK22)
& perp(sK27,sK20,sK21,sK22)
& coll(sK26,sK20,sK22)
& perp(sK26,sK21,sK20,sK22)
& coll(sK25,sK21,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& coll(sK23,sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(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(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(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
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(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(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(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(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(f474,plain,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK25,sK23,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
perp(sK29,sK24,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
coll(sK29,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f487,plain,
coll(sK30,sK24,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f488,plain,
~ perp(sK22,sK30,sK24,sK25),
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_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_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_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
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_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
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_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_162,negated_conjecture,
~ perp(sK22,sK30,sK24,sK25),
inference(cnf_transformation,[],[f488]) ).
cnf(c_163,negated_conjecture,
coll(sK30,sK24,sK29),
inference(cnf_transformation,[],[f487]) ).
cnf(c_165,negated_conjecture,
coll(sK29,sK21,sK22),
inference(cnf_transformation,[],[f485]) ).
cnf(c_166,negated_conjecture,
perp(sK29,sK24,sK21,sK22),
inference(cnf_transformation,[],[f484]) ).
cnf(c_173,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_174,negated_conjecture,
perp(sK25,sK23,sK21,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_175,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_176,negated_conjecture,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f474]) ).
cnf(c_183,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_192,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_193,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| circle(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_5856,plain,
coll(sK30,sK29,sK24),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_5878,plain,
coll(sK24,sK30,sK29),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_5909,plain,
coll(sK24,sK29,sK30),
inference(superposition,[status(thm)],[c_5878,c_49]) ).
cnf(c_5980,plain,
perp(sK21,sK22,sK29,sK24),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_5984,plain,
perp(sK21,sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_174,c_56]) ).
cnf(c_5985,plain,
perp(sK20,sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_176,c_56]) ).
cnf(c_6021,plain,
perp(sK21,sK22,sK23,sK25),
inference(superposition,[status(thm)],[c_5984,c_55]) ).
cnf(c_6054,plain,
( ~ coll(sK30,sK24,X0)
| coll(sK29,X0,sK30) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_6056,plain,
( ~ coll(sK29,sK21,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6060,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_173,c_51]) ).
cnf(c_6061,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_175,c_51]) ).
cnf(c_6063,plain,
( ~ coll(sK30,sK29,X0)
| coll(sK24,X0,sK30) ),
inference(superposition,[status(thm)],[c_5856,c_51]) ).
cnf(c_6090,plain,
( ~ coll(sK24,sK29,X0)
| coll(sK30,X0,sK24) ),
inference(superposition,[status(thm)],[c_5909,c_51]) ).
cnf(c_6191,plain,
( ~ coll(sK24,sK29,sK22)
| coll(sK30,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_6090]) ).
cnf(c_6215,plain,
( ~ coll(sK25,sK21,sK22)
| coll(sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_6060]) ).
cnf(c_6259,plain,
coll(sK29,sK29,sK30),
inference(superposition,[status(thm)],[c_163,c_6054]) ).
cnf(c_6260,plain,
( ~ coll(sK29,sK29,X0)
| coll(sK30,X0,sK29) ),
inference(superposition,[status(thm)],[c_6259,c_51]) ).
cnf(c_6290,plain,
coll(sK22,sK22,sK29),
inference(superposition,[status(thm)],[c_165,c_6056]) ).
cnf(c_6291,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK29,X0,sK22) ),
inference(superposition,[status(thm)],[c_6290,c_51]) ).
cnf(c_6293,plain,
coll(sK22,sK29,sK22),
inference(superposition,[status(thm)],[c_6290,c_49]) ).
cnf(c_6397,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_175,c_6061]) ).
cnf(c_6404,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6397,c_51]) ).
cnf(c_6444,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6293,c_51]) ).
cnf(c_6449,plain,
( ~ coll(sK22,sK29,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6444]) ).
cnf(c_6518,plain,
coll(sK24,sK24,sK30),
inference(superposition,[status(thm)],[c_5856,c_6063]) ).
cnf(c_6572,plain,
coll(sK24,sK30,sK24),
inference(superposition,[status(thm)],[c_6518,c_49]) ).
cnf(c_6881,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK25,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_174,c_57]) ).
cnf(c_6882,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK24,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_176,c_57]) ).
cnf(c_6889,plain,
( ~ perp(sK29,sK24,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5980,c_57]) ).
cnf(c_7050,plain,
coll(sK30,sK24,sK24),
inference(superposition,[status(thm)],[c_6572,c_50]) ).
cnf(c_7262,plain,
( ~ coll(sK30,sK24,X0)
| coll(sK24,X0,sK30) ),
inference(superposition,[status(thm)],[c_7050,c_51]) ).
cnf(c_7268,plain,
( ~ coll(sK30,sK24,sK22)
| coll(sK24,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_7262]) ).
cnf(c_7508,plain,
para(sK25,sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_6021,c_6881]) ).
cnf(c_7515,plain,
para(sK24,sK23,sK24,sK23),
inference(superposition,[status(thm)],[c_5985,c_6882]) ).
cnf(c_8152,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_8165,plain,
( ~ para(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8152]) ).
cnf(c_8750,plain,
para(sK23,sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_7508,c_53]) ).
cnf(c_8942,plain,
( ~ coll(sK30,X0,sK24)
| coll(sK30,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8945,plain,
( ~ coll(sK30,sK22,sK24)
| coll(sK30,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_8942]) ).
cnf(c_9394,plain,
coll(sK29,sK24,sK22),
inference(superposition,[status(thm)],[c_6397,c_6291]) ).
cnf(c_9399,plain,
coll(sK29,sK29,sK22),
inference(superposition,[status(thm)],[c_6290,c_6291]) ).
cnf(c_9625,plain,
( ~ para(sK24,sK23,sK24,sK23)
| ~ midp(X0,sK24,sK24)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_7515,c_113]) ).
cnf(c_9638,plain,
( ~ midp(X0,sK24,sK24)
| midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9625,c_7515]) ).
cnf(c_9742,plain,
( ~ midp(sK22,sK24,sK24)
| midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_9638]) ).
cnf(c_9917,plain,
coll(sK24,sK29,sK22),
inference(superposition,[status(thm)],[c_9394,c_50]) ).
cnf(c_9957,plain,
coll(sK30,sK22,sK29),
inference(superposition,[status(thm)],[c_9399,c_6260]) ).
cnf(c_10700,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6397,c_6404]) ).
cnf(c_10717,plain,
coll(sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_10700,c_49]) ).
cnf(c_12583,plain,
coll(sK22,sK30,sK29),
inference(superposition,[status(thm)],[c_9957,c_50]) ).
cnf(c_12584,plain,
coll(sK30,sK29,sK22),
inference(superposition,[status(thm)],[c_9957,c_49]) ).
cnf(c_13560,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_166,c_6889]) ).
cnf(c_14087,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_14123,plain,
( ~ para(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14087]) ).
cnf(c_16560,plain,
( ~ para(sK21,sK22,sK21,sK22)
| eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_16571,plain,
( ~ para(sK21,sK22,sK21,sK22)
| eqangle(sK21,sK22,sK22,sK22,sK21,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_16560]) ).
cnf(c_16573,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK22)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_16574,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK21,sK22,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK22)
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_16573]) ).
cnf(c_16881,plain,
coll(sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_10717,c_50]) ).
cnf(c_18059,plain,
coll(sK22,sK29,sK30),
inference(superposition,[status(thm)],[c_12583,c_49]) ).
cnf(c_18062,plain,
( ~ coll(sK30,sK29,X0)
| coll(sK22,X0,sK30) ),
inference(superposition,[status(thm)],[c_12584,c_51]) ).
cnf(c_18068,plain,
( ~ coll(sK30,sK29,sK22)
| coll(sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_18062]) ).
cnf(c_22738,plain,
( ~ perp(sK24,sK25,sK22,sK30)
| perp(sK22,sK30,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_26998,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK30,X0,sK22) ),
inference(superposition,[status(thm)],[c_18059,c_51]) ).
cnf(c_27005,plain,
( ~ coll(sK22,sK29,sK22)
| coll(sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_26998]) ).
cnf(c_31540,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_8750,c_52]) ).
cnf(c_32387,plain,
( ~ eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1)
| eqangle(sK21,sK22,sK21,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_32388,plain,
( ~ eqangle(sK21,sK22,sK22,sK22,sK21,sK22,sK22,sK22)
| eqangle(sK21,sK22,sK21,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_32387]) ).
cnf(c_38227,plain,
( ~ eqangle(sK22,sK30,X0,X1,X2,X3,X0,X1)
| para(sK22,sK30,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_65897,plain,
( ~ cyclic(sK30,X0,sK22,sK22)
| eqangle(sK22,sK30,sK22,X0,sK22,sK30,sK22,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_65898,plain,
( ~ eqangle(sK22,sK30,sK22,X0,sK22,sK30,sK22,X0)
| para(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_38227]) ).
cnf(c_65899,plain,
( ~ cyclic(sK30,sK22,sK22,sK22)
| eqangle(sK22,sK30,sK22,sK22,sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_65897]) ).
cnf(c_65900,plain,
( ~ eqangle(sK22,sK30,sK22,sK22,sK22,sK30,sK22,sK22)
| para(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_65898]) ).
cnf(c_66375,plain,
( ~ perp(X0,X1,X1,sK30)
| perp(X1,sK30,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_66376,plain,
( ~ perp(sK22,sK22,sK22,sK30)
| perp(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_66375]) ).
cnf(c_67106,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK22,sK30,X0,X1)
| para(sK22,sK30,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_67107,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK30,sK22,sK22)
| para(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_67106]) ).
cnf(c_67180,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK22,sK30)
| para(X0,X1,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_67181,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK30)
| para(sK22,sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_67180]) ).
cnf(c_70095,plain,
( ~ eqangle(sK21,sK22,sK21,sK22,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_70096,plain,
( ~ eqangle(sK21,sK22,sK21,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_70095]) ).
cnf(c_72827,plain,
( ~ circle(X0,sK22,X1,sK22)
| ~ perp(X0,sK22,sK22,sK30)
| eqangle(sK22,sK30,sK22,X1,sK22,sK22,sK22,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_72829,plain,
( ~ perp(sK22,sK22,sK22,sK30)
| ~ circle(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK30,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72827]) ).
cnf(c_80564,plain,
( ~ cong(X0,sK24,X0,X1)
| ~ coll(X0,sK24,X1)
| midp(X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_84329,plain,
( ~ cyclic(X0,sK30,sK22,sK22)
| cyclic(sK30,X0,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_84330,plain,
( ~ cyclic(sK22,sK30,sK22,sK22)
| cyclic(sK30,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_84329]) ).
cnf(c_89611,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK30,X1,sK30)
| perp(X0,X1,X1,sK30) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_89612,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK30,sK22,sK30)
| perp(sK22,sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_89611]) ).
cnf(c_89621,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,X1,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_89622,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK25,sK22,sK25)
| perp(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_89621]) ).
cnf(c_89662,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK30,X1,sK30)
| perp(X0,X1,sK30,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_89663,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK30,sK22,sK30)
| perp(sK22,sK22,sK30,sK22) ),
inference(instantiation,[status(thm)],[c_89662]) ).
cnf(c_90910,plain,
( ~ cong(X0,sK24,X0,sK24)
| ~ coll(X0,sK24,sK24)
| midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_80564]) ).
cnf(c_90912,plain,
( ~ cong(sK22,sK24,sK22,sK24)
| ~ coll(sK22,sK24,sK24)
| midp(sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_90910]) ).
cnf(c_92387,plain,
( ~ eqangle(X0,sK30,X1,X0,X2,X3,X4,X5)
| eqangle(X1,X0,X0,sK30,X4,X5,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_92388,plain,
( ~ eqangle(sK22,sK30,sK22,sK22,sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92387]) ).
cnf(c_92394,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X1,sK30,X2,X3,X1,sK30) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_92395,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_92394]) ).
cnf(c_93437,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X1,sK24,X2,X3,X1,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_93438,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK24,sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_93437]) ).
cnf(c_93757,plain,
( ~ para(X0,X1,X2,sK25)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK25)
| midp(X1,X3,sK25) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_93758,plain,
( ~ para(sK22,sK22,sK22,sK25)
| ~ coll(sK22,sK22,sK25)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_93757]) ).
cnf(c_93767,plain,
( ~ para(X0,sK30,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK30,X3,X2)
| midp(sK30,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_93768,plain,
( ~ para(sK22,sK30,sK22,sK22)
| ~ coll(sK30,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_93767]) ).
cnf(c_95254,plain,
( ~ midp(sK22,sK30,sK30)
| cong(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_95598,plain,
( ~ eqangle(X0,sK30,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,sK30) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_96173,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_31540,c_113]) ).
cnf(c_96186,plain,
( ~ midp(X0,sK23,sK23)
| midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96173,c_31540]) ).
cnf(c_96189,plain,
( ~ midp(sK22,sK23,sK23)
| midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_96186]) ).
cnf(c_106034,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK25)
| para(X0,X1,X4,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_106038,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK25)
| para(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_106034]) ).
cnf(c_107625,plain,
( ~ eqangle(sK30,sK30,sK30,X0,X1,sK30,X1,X0)
| ~ circle(X2,sK30,X0,X1)
| perp(X2,sK30,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_95598]) ).
cnf(c_107626,plain,
( ~ cyclic(sK30,X0,sK30,X1)
| eqangle(sK30,sK30,sK30,X0,X1,sK30,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_107627,plain,
( ~ eqangle(sK30,sK30,sK30,sK22,sK22,sK30,sK22,sK22)
| ~ circle(sK22,sK30,sK22,sK22)
| perp(sK22,sK30,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_107625]) ).
cnf(c_107628,plain,
( ~ cyclic(sK30,sK22,sK30,sK22)
| eqangle(sK30,sK30,sK30,sK22,sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_107626]) ).
cnf(c_120262,plain,
( ~ para(sK24,sK25,X0,X1)
| ~ perp(X0,X1,sK22,sK30)
| perp(sK24,sK25,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_120280,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK22,sK30,X0,X1)
| para(sK22,sK30,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_120281,plain,
( ~ midp(sK22,X0,X1)
| ~ midp(sK30,X0,X2)
| para(sK22,sK30,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_120362,plain,
( ~ para(X0,sK24,X1,X2)
| ~ midp(X0,sK22,X1)
| ~ coll(sK24,sK22,X2)
| midp(sK24,sK22,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_120379,plain,
( ~ para(X0,X1,sK24,sK25)
| para(sK24,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_120484,plain,
( ~ para(X0,sK30,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK30,X3,X2)
| midp(sK30,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_120486,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK30,X0,X2)
| midp(sK30,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_120492,plain,
( ~ para(X0,X1,X2,sK30)
| ~ para(X0,sK30,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK30,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_120622,plain,
( ~ perp(sK22,sK30,X0,X1)
| perp(sK22,sK30,X1,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_120625,plain,
( ~ perp(sK30,X0,X1,X2)
| ~ perp(sK22,sK30,sK30,X0)
| para(sK22,sK30,X1,X2) ),
inference(instantiation,[status(thm)],[c_120280]) ).
cnf(c_120709,plain,
( ~ midp(sK30,X0,X1)
| cong(sK30,X0,sK30,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_121223,plain,
( ~ perp(X0,sK22,sK22,X1)
| ~ midp(sK24,X0,X1)
| cong(X0,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_121259,plain,
( ~ para(X0,X1,sK25,sK24)
| para(X0,X1,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_121303,plain,
( ~ para(X0,X1,X2,sK30)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK30)
| midp(X1,X3,sK30) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_121304,plain,
( ~ para(sK22,sK22,sK22,sK30)
| ~ coll(sK22,sK22,sK30)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_121303]) ).
cnf(c_121558,plain,
( ~ perp(sK22,sK30,sK30,X0)
| perp(sK22,sK30,X0,sK30) ),
inference(instantiation,[status(thm)],[c_120622]) ).
cnf(c_121560,plain,
( ~ perp(sK22,sK30,sK30,sK22)
| perp(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_121558]) ).
cnf(c_121644,plain,
( ~ eqangle(X0,sK22,X0,sK30,X1,sK22,X1,X2)
| ~ cyclic(sK22,sK30,X0,X1)
| ~ cyclic(sK22,sK30,X0,X2)
| ~ cyclic(sK22,sK30,X0,sK22)
| cong(sK22,sK30,sK22,X2) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_121645,plain,
( ~ eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK30,sK22,sK22)
| cong(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_121644]) ).
cnf(c_121759,plain,
( ~ cong(sK30,X0,sK30,X0)
| ~ cong(sK30,sK30,sK30,sK30)
| perp(sK30,sK30,sK30,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_121845,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_121999,plain,
( ~ para(X0,X1,X2,sK24)
| para(X2,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_122000,plain,
( ~ eqangle(X0,sK24,X1,X2,X3,X4,X1,X2)
| para(X0,sK24,X3,X4) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_122089,plain,
( ~ para(X0,sK30,X1,X2)
| ~ perp(X1,X2,sK30,X3)
| perp(X0,sK30,sK30,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_122090,plain,
( ~ para(sK22,sK30,sK22,sK22)
| ~ perp(sK22,sK22,sK30,sK22)
| perp(sK22,sK30,sK30,sK22) ),
inference(instantiation,[status(thm)],[c_122089]) ).
cnf(c_122641,plain,
( ~ cong(sK22,sK30,sK22,X0)
| ~ cong(sK22,sK30,sK22,X1)
| circle(sK22,sK30,X1,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_122642,plain,
( ~ cong(sK22,sK30,sK22,sK22)
| circle(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_122641]) ).
cnf(c_124536,plain,
( ~ eqangle(sK22,X0,sK22,sK30,sK22,X0,sK22,sK30)
| ~ coll(sK22,sK22,sK30)
| cyclic(X0,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_124537,plain,
( ~ eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK30)
| ~ coll(sK22,sK22,sK30)
| cyclic(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_124536]) ).
cnf(c_126099,plain,
( ~ eqangle(X0,sK22,X0,sK24,sK22,sK22,sK22,sK24)
| eqangle(X0,sK24,X0,sK22,sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_126100,plain,
( ~ eqangle(sK22,sK22,sK22,sK24,sK22,sK22,sK22,sK24)
| eqangle(sK22,sK24,sK22,sK22,sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_126099]) ).
cnf(c_126612,plain,
( ~ cong(X0,sK30,X0,X1)
| ~ cong(X0,sK30,X0,X2)
| ~ cong(X0,sK30,X0,sK30)
| cyclic(sK30,X1,sK30,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_126613,plain,
( ~ cong(sK22,sK30,sK22,sK22)
| ~ cong(sK22,sK30,sK22,sK30)
| cyclic(sK30,sK22,sK30,sK22) ),
inference(instantiation,[status(thm)],[c_126612]) ).
cnf(c_127074,plain,
( ~ para(sK22,sK30,sK22,sK30)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_120492]) ).
cnf(c_127076,plain,
( ~ para(sK22,sK30,sK22,sK30)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_127074]) ).
cnf(c_128890,plain,
( ~ para(sK22,sK30,sK24,sK25)
| para(sK24,sK25,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_120379]) ).
cnf(c_128892,plain,
( ~ para(sK22,sK30,X0,sK24)
| para(X0,sK24,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_121999]) ).
cnf(c_128894,plain,
( ~ para(sK22,sK30,sK22,sK24)
| para(sK22,sK24,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_128892]) ).
cnf(c_128946,plain,
( ~ para(sK22,sK30,sK25,sK24)
| para(sK22,sK30,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_121259]) ).
cnf(c_129045,plain,
( ~ para(X0,sK24,sK22,sK30)
| ~ midp(X0,sK22,sK22)
| ~ coll(sK24,sK22,sK30)
| midp(sK24,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_120362]) ).
cnf(c_129047,plain,
( ~ para(sK22,sK24,sK22,sK30)
| ~ coll(sK24,sK22,sK30)
| ~ midp(sK22,sK22,sK22)
| midp(sK24,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_129045]) ).
cnf(c_129055,plain,
( ~ para(sK24,sK25,sK22,sK30)
| ~ perp(sK22,sK30,sK22,sK30)
| perp(sK24,sK25,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_120262]) ).
cnf(c_129691,plain,
( ~ perp(sK30,X0,X1,sK24)
| ~ perp(sK22,sK30,sK30,X0)
| para(sK22,sK30,X1,sK24) ),
inference(instantiation,[status(thm)],[c_120625]) ).
cnf(c_129766,plain,
( ~ midp(sK22,X0,sK25)
| ~ midp(sK30,X0,sK24)
| para(sK22,sK30,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_120281]) ).
cnf(c_129767,plain,
( ~ midp(sK22,sK22,sK25)
| ~ midp(sK30,sK22,sK24)
| para(sK22,sK30,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_129766]) ).
cnf(c_129768,plain,
( ~ midp(sK22,X0,X1)
| ~ midp(sK30,X0,sK24)
| para(sK22,sK30,X1,sK24) ),
inference(instantiation,[status(thm)],[c_120281]) ).
cnf(c_129769,plain,
( ~ midp(sK22,sK22,sK22)
| ~ midp(sK30,sK22,sK24)
| para(sK22,sK30,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_129768]) ).
cnf(c_129850,plain,
( ~ midp(sK30,sK30,sK30)
| cong(sK30,sK30,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_120709]) ).
cnf(c_130464,plain,
( ~ midp(sK30,sK24,sK24)
| cong(sK30,sK24,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_121845]) ).
cnf(c_130474,plain,
( ~ para(X0,sK30,X1,sK24)
| ~ midp(X0,X2,X1)
| ~ coll(sK30,X2,sK24)
| midp(sK30,X2,sK24) ),
inference(instantiation,[status(thm)],[c_120484]) ).
cnf(c_130651,plain,
( ~ para(X0,sK24,X1,sK24)
| ~ midp(sK30,X0,X1)
| midp(sK30,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_120486]) ).
cnf(c_130653,plain,
( ~ para(sK22,sK24,sK22,sK24)
| ~ midp(sK30,sK22,sK22)
| midp(sK30,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_130651]) ).
cnf(c_131638,plain,
( ~ para(sK22,sK30,sK22,sK30)
| ~ midp(sK30,sK22,sK22)
| midp(sK30,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_127074]) ).
cnf(c_132799,plain,
( ~ perp(X0,sK22,sK22,sK30)
| ~ midp(sK24,X0,sK30)
| cong(X0,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_121223]) ).
cnf(c_132805,plain,
( ~ perp(sK22,sK22,sK22,sK30)
| ~ midp(sK24,sK22,sK30)
| cong(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_132799]) ).
cnf(c_134900,plain,
( ~ eqangle(X0,sK24,X0,X1,X0,sK24,X0,X1)
| para(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_122000]) ).
cnf(c_134902,plain,
( ~ eqangle(sK22,sK24,sK22,sK22,sK22,sK24,sK22,sK22)
| para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_134900]) ).
cnf(c_142572,plain,
( ~ perp(sK22,sK30,sK30,sK30)
| ~ perp(sK30,sK30,sK30,sK24)
| para(sK22,sK30,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_129691]) ).
cnf(c_142574,plain,
( ~ cong(sK30,sK30,sK30,sK30)
| ~ cong(sK30,sK24,sK30,sK24)
| perp(sK30,sK30,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_121759]) ).
cnf(c_147320,plain,
( ~ para(sK22,sK30,sK30,sK24)
| ~ coll(sK30,X0,sK24)
| ~ midp(sK22,X0,sK30)
| midp(sK30,X0,sK24) ),
inference(instantiation,[status(thm)],[c_130474]) ).
cnf(c_147324,plain,
( ~ para(sK22,sK30,sK30,sK24)
| ~ coll(sK30,sK22,sK24)
| ~ midp(sK22,sK22,sK30)
| midp(sK30,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_147320]) ).
cnf(c_147750,plain,
( ~ midp(X0,sK25,sK25)
| cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_147751,plain,
( ~ midp(sK22,sK25,sK25)
| cong(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_147750]) ).
cnf(c_147752,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_147751,c_147324,c_142574,c_142572,c_134902,c_132805,c_131638,c_130653,c_130464,c_129850,c_129769,c_129767,c_129055,c_129047,c_128946,c_128894,c_128890,c_127076,c_126613,c_126100,c_124537,c_122642,c_122090,c_121645,c_121560,c_121304,c_107628,c_107627,c_106038,c_96189,c_95254,c_93768,c_93758,c_93438,c_92395,c_92388,c_90912,c_89663,c_89622,c_89612,c_84330,c_72829,c_70096,c_67181,c_67107,c_66376,c_65900,c_65899,c_32388,c_27005,c_22738,c_18068,c_16881,c_16574,c_16571,c_14123,c_13560,c_12584,c_9917,c_9742,c_8945,c_8165,c_7268,c_6449,c_6293,c_6215,c_6191,c_193,c_192,c_183,c_162,c_173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO556+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:26:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.27/5.75 % SZS status Started for theBenchmark.p
% 35.27/5.75 % SZS status Theorem for theBenchmark.p
% 35.27/5.75
% 35.27/5.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.27/5.75
% 35.27/5.75 ------ iProver source info
% 35.27/5.75
% 35.27/5.75 git: date: 2023-05-31 18:12:56 +0000
% 35.27/5.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.27/5.75 git: non_committed_changes: false
% 35.27/5.75 git: last_make_outside_of_git: false
% 35.27/5.75
% 35.27/5.75 ------ Parsing...
% 35.27/5.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.27/5.75
% 35.27/5.75 ------ 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
% 35.27/5.75
% 35.27/5.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.27/5.75
% 35.27/5.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 35.27/5.75 ------ Proving...
% 35.27/5.75 ------ Problem Properties
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75 clauses 128
% 35.27/5.75 conjectures 16
% 35.27/5.75 EPR 91
% 35.27/5.75 Horn 118
% 35.27/5.75 unary 16
% 35.27/5.75 binary 37
% 35.27/5.75 lits 344
% 35.27/5.75 lits eq 4
% 35.27/5.75 fd_pure 0
% 35.27/5.75 fd_pseudo 0
% 35.27/5.75 fd_cond 0
% 35.27/5.75 fd_pseudo_cond 4
% 35.27/5.75 AC symbols 0
% 35.27/5.75
% 35.27/5.75 ------ Schedule dynamic 5 is on
% 35.27/5.75
% 35.27/5.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75 ------
% 35.27/5.75 Current options:
% 35.27/5.75 ------
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75 ------ Proving...
% 35.27/5.75
% 35.27/5.75
% 35.27/5.75 % SZS status Theorem for theBenchmark.p
% 35.27/5.75
% 35.27/5.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.86/5.76
% 35.86/5.76
%------------------------------------------------------------------------------