TSTP Solution File: GEO642+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 23:12:16 EDT 2023
% Result : Theorem 35.98s 5.71s
% Output : CNFRefutation 35.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 246 ( 13 unt; 0 def)
% Number of atoms : 722 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 785 ( 309 ~; 300 |; 131 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 883 ( 2 sgn; 592 !; 51 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(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(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(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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X7,X2,X8,X3,X12,X4,X5,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( coll(X5,X2,X8)
& coll(X5,X0,X3)
& coll(X4,X1,X8)
& coll(X4,X0,X2)
& coll(X12,X0,X3)
& coll(X12,X1,X8)
& circle(X2,X1,X3,X25)
& circle(X7,X0,X3,X24)
& circle(X2,X1,X22,X23)
& circle(X7,X0,X8,X21)
& circle(X7,X0,X2,X20)
& circle(X7,X0,X18,X19)
& midp(X7,X1,X0) )
=> perp(X4,X5,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X7,X2,X8,X3,X12,X4,X5,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( coll(X5,X2,X8)
& coll(X5,X0,X3)
& coll(X4,X1,X8)
& coll(X4,X0,X2)
& coll(X12,X0,X3)
& coll(X12,X1,X8)
& circle(X2,X1,X3,X25)
& circle(X7,X0,X3,X24)
& circle(X2,X1,X22,X23)
& circle(X7,X0,X8,X21)
& circle(X7,X0,X2,X20)
& circle(X7,X0,X18,X19)
& midp(X7,X1,X0) )
=> perp(X4,X5,X0,X3) ),
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(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(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(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(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(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( coll(X8,X3,X4)
& coll(X8,X0,X5)
& coll(X7,X1,X4)
& coll(X7,X0,X3)
& coll(X6,X0,X5)
& coll(X6,X1,X4)
& circle(X3,X1,X5,X16)
& circle(X2,X0,X5,X15)
& circle(X3,X1,X13,X14)
& circle(X2,X0,X4,X12)
& circle(X2,X0,X3,X11)
& circle(X2,X0,X9,X10)
& midp(X2,X1,X0) )
=> perp(X7,X8,X0,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(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(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(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(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(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(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(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(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(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ perp(X7,X8,X0,X5)
& coll(X8,X3,X4)
& coll(X8,X0,X5)
& coll(X7,X1,X4)
& coll(X7,X0,X3)
& coll(X6,X0,X5)
& coll(X6,X1,X4)
& circle(X3,X1,X5,X16)
& circle(X2,X0,X5,X15)
& circle(X3,X1,X13,X14)
& circle(X2,X0,X4,X12)
& circle(X2,X0,X3,X11)
& circle(X2,X0,X9,X10)
& midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ perp(X7,X8,X0,X5)
& coll(X8,X3,X4)
& coll(X8,X0,X5)
& coll(X7,X1,X4)
& coll(X7,X0,X3)
& coll(X6,X0,X5)
& coll(X6,X1,X4)
& circle(X3,X1,X5,X16)
& circle(X2,X0,X5,X15)
& circle(X3,X1,X13,X14)
& circle(X2,X0,X4,X12)
& circle(X2,X0,X3,X11)
& circle(X2,X0,X9,X10)
& midp(X2,X1,X0) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ perp(X7,X8,X0,X5)
& coll(X8,X3,X4)
& coll(X8,X0,X5)
& coll(X7,X1,X4)
& coll(X7,X0,X3)
& coll(X6,X0,X5)
& coll(X6,X1,X4)
& circle(X3,X1,X5,X16)
& circle(X2,X0,X5,X15)
& circle(X3,X1,X13,X14)
& circle(X2,X0,X4,X12)
& circle(X2,X0,X3,X11)
& circle(X2,X0,X9,X10)
& midp(X2,X1,X0) )
=> ( ~ perp(sK27,sK28,sK20,sK25)
& coll(sK28,sK23,sK24)
& coll(sK28,sK20,sK25)
& coll(sK27,sK21,sK24)
& coll(sK27,sK20,sK23)
& coll(sK26,sK20,sK25)
& coll(sK26,sK21,sK24)
& circle(sK23,sK21,sK25,sK36)
& circle(sK22,sK20,sK25,sK35)
& circle(sK23,sK21,sK33,sK34)
& circle(sK22,sK20,sK24,sK32)
& circle(sK22,sK20,sK23,sK31)
& circle(sK22,sK20,sK29,sK30)
& midp(sK22,sK21,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK27,sK28,sK20,sK25)
& coll(sK28,sK23,sK24)
& coll(sK28,sK20,sK25)
& coll(sK27,sK21,sK24)
& coll(sK27,sK20,sK23)
& coll(sK26,sK20,sK25)
& coll(sK26,sK21,sK24)
& circle(sK23,sK21,sK25,sK36)
& circle(sK22,sK20,sK25,sK35)
& circle(sK23,sK21,sK33,sK34)
& circle(sK22,sK20,sK24,sK32)
& circle(sK22,sK20,sK23,sK31)
& circle(sK22,sK20,sK29,sK30)
& midp(sK22,sK21,sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36])],[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(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(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(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(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(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(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(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(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(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f473,plain,
midp(sK22,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK26,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK27,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
coll(sK28,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
~ perp(sK27,sK28,sK20,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_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_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_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_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_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_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_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_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_162,negated_conjecture,
~ perp(sK27,sK28,sK20,sK25),
inference(cnf_transformation,[],[f486]) ).
cnf(c_164,negated_conjecture,
coll(sK28,sK20,sK25),
inference(cnf_transformation,[],[f484]) ).
cnf(c_166,negated_conjecture,
coll(sK27,sK20,sK23),
inference(cnf_transformation,[],[f482]) ).
cnf(c_167,negated_conjecture,
coll(sK26,sK20,sK25),
inference(cnf_transformation,[],[f481]) ).
cnf(c_175,negated_conjecture,
midp(sK22,sK21,sK20),
inference(cnf_transformation,[],[f473]) ).
cnf(c_178,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_181,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_185,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_190,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_191,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_206,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_239,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2400,plain,
( ~ coll(sK28,sK20,sK25)
| coll(sK28,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2412,plain,
( ~ coll(sK27,sK20,sK23)
| coll(sK27,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2418,plain,
( ~ coll(sK26,sK20,sK25)
| coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2446,plain,
( ~ midp(X0,sK21,X1)
| ~ midp(sK22,sK21,sK20)
| para(X0,sK22,X1,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_2528,plain,
( ~ midp(sK22,sK21,sK20)
| para(sK22,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2446]) ).
cnf(c_2648,plain,
( ~ coll(sK28,sK25,X0)
| ~ coll(sK28,sK25,sK20)
| coll(X0,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2649,plain,
( ~ coll(sK28,sK25,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_2648]) ).
cnf(c_2681,plain,
( ~ coll(sK27,sK23,X0)
| ~ coll(sK27,sK23,sK20)
| coll(X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2682,plain,
( ~ coll(sK27,sK23,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_2681]) ).
cnf(c_2695,plain,
( ~ coll(sK26,sK25,sK20)
| coll(sK25,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2925,plain,
( ~ para(sK22,sK22,sK20,sK20)
| para(sK20,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_2932,plain,
( ~ para(X0,X1,sK22,sK22)
| ~ para(sK22,sK22,sK20,sK20)
| para(X0,X1,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2933,plain,
( ~ para(sK20,sK20,sK22,sK22)
| ~ para(sK22,sK22,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2932]) ).
cnf(c_3040,plain,
( ~ para(sK27,sK28,X0,X1)
| ~ perp(X0,X1,sK20,sK25)
| perp(sK27,sK28,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_3041,plain,
( ~ para(sK27,sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK25)
| perp(sK27,sK28,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_3040]) ).
cnf(c_3206,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK27,sK28,X0,X1)
| para(sK27,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3207,plain,
( ~ perp(sK27,sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK27,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3206]) ).
cnf(c_3549,plain,
( ~ cong(sK27,X0,sK28,X0)
| ~ cong(sK27,X1,sK28,X1)
| perp(sK27,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_3550,plain,
( ~ cong(sK27,sK20,sK28,sK20)
| perp(sK27,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3549]) ).
cnf(c_3959,plain,
( ~ cong(X0,X1,sK28,X2)
| ~ cong(sK27,X2,X0,X1)
| cong(sK27,X2,sK28,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3960,plain,
( ~ cong(sK27,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK28,sK20)
| cong(sK27,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_3959]) ).
cnf(c_4121,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4123,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_4121]) ).
cnf(c_4806,plain,
( ~ cong(sK20,X0,sK25,X0)
| ~ cong(sK20,X1,sK25,X1)
| perp(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_4807,plain,
( ~ cong(sK20,sK20,sK25,sK20)
| perp(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4806]) ).
cnf(c_6330,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK25,X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_6332,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6330]) ).
cnf(c_6533,plain,
( ~ eqangle(X0,sK25,sK25,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK25,sK25,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_6534,plain,
( ~ eqangle(sK20,sK25,sK25,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6533]) ).
cnf(c_6588,plain,
( ~ perp(X0,sK25,X1,X0)
| perp(X1,X0,X0,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_6589,plain,
( ~ perp(sK20,sK25,sK20,sK20)
| perp(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6588]) ).
cnf(c_7235,plain,
( ~ eqangle(sK28,X0,X1,X2,X3,X4,X5,X6)
| ~ perp(X3,X4,X5,X6)
| perp(sK28,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_7237,plain,
( ~ perp(sK28,X0,X1,X2)
| perp(sK28,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_7479,plain,
( ~ eqangle(X0,X1,X0,sK27,X2,X1,X2,sK27)
| ~ coll(X0,X2,sK27)
| cyclic(X1,sK27,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_7482,plain,
( ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7479]) ).
cnf(c_7513,plain,
( ~ cyclic(X0,sK27,X1,X2)
| cyclic(sK27,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_7514,plain,
( ~ cyclic(sK20,sK27,sK20,sK20)
| cyclic(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7513]) ).
cnf(c_7698,plain,
( ~ eqangle(X0,sK27,X0,X1,X2,X3,X2,X4)
| ~ cyclic(sK27,X1,X0,X2)
| ~ cyclic(sK27,X1,X0,X3)
| ~ cyclic(sK27,X1,X0,X4)
| cong(sK27,X1,X3,X4) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_7699,plain,
( ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK27,sK20,sK20,sK20)
| cong(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7698]) ).
cnf(c_8426,plain,
( ~ perp(sK20,sK25,sK25,X0)
| ~ midp(X1,sK20,X0)
| cong(sK20,X1,sK25,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_8427,plain,
( ~ perp(sK20,sK25,sK25,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_8426]) ).
cnf(c_8916,plain,
( ~ eqangle(X0,X1,X0,sK28,X2,X1,X2,sK28)
| ~ coll(X0,X2,sK28)
| cyclic(X1,sK28,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_8919,plain,
( ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8916]) ).
cnf(c_9717,plain,
( ~ perp(X0,sK28,sK28,X1)
| ~ midp(X2,X0,X1)
| cong(X0,X2,sK28,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9718,plain,
( ~ perp(sK20,sK28,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_9717]) ).
cnf(c_11057,plain,
( ~ cyclic(X0,sK25,X1,X2)
| cyclic(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_11058,plain,
( ~ cyclic(sK20,sK25,sK20,sK20)
| cyclic(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_11057]) ).
cnf(c_11479,plain,
( ~ eqangle(sK25,X0,sK25,X1,X2,X3,X4,X5)
| eqangle(X0,sK25,sK25,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_11480,plain,
( ~ eqangle(sK25,sK20,sK25,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK25,sK25,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11479]) ).
cnf(c_11726,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_12352,plain,
coll(sK25,sK26,sK20),
inference(superposition,[status(thm)],[c_11726,c_50]) ).
cnf(c_12811,plain,
( ~ cyclic(sK20,X0,sK25,X1)
| eqangle(sK25,sK20,sK25,X0,X1,sK20,X1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_12813,plain,
( ~ cyclic(sK20,sK20,sK25,sK20)
| eqangle(sK25,sK20,sK25,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12811]) ).
cnf(c_13114,plain,
( ~ eqangle(X0,X1,X0,sK25,X2,X1,X2,sK25)
| ~ coll(X0,X2,sK25)
| cyclic(X1,sK25,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_13117,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| cyclic(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13114]) ).
cnf(c_13348,plain,
( ~ eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1)
| ~ perp(X2,X0,X2,X1)
| perp(sK28,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_7235]) ).
cnf(c_13349,plain,
( ~ cyclic(X0,X1,sK28,X2)
| eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_13350,plain,
( ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_13348]) ).
cnf(c_13351,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13349]) ).
cnf(c_13453,plain,
( ~ cyclic(X0,sK28,X1,X2)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_13454,plain,
( ~ cyclic(sK20,sK28,sK20,sK20)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_13453]) ).
cnf(c_14727,plain,
( ~ circle(X0,X1,X2,X3)
| ~ perp(X0,X1,X1,sK27)
| eqangle(X1,sK27,X1,X2,X3,X1,X3,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_14728,plain,
( ~ perp(sK20,sK20,sK20,sK27)
| ~ circle(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK27,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14727]) ).
cnf(c_14755,plain,
( ~ cong(X0,X0,X1,X0)
| ~ cong(X0,sK27,X1,sK27)
| perp(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_14756,plain,
( ~ cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_14755]) ).
cnf(c_15742,plain,
( ~ coll(sK25,sK26,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_12352,c_51]) ).
cnf(c_15764,plain,
( ~ coll(sK25,sK26,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_15742]) ).
cnf(c_24517,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_30517,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_30519,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_30517]) ).
cnf(c_34113,plain,
( ~ perp(sK28,X0,sK28,X1)
| perp(sK28,X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_7237]) ).
cnf(c_34116,plain,
( ~ perp(sK28,sK20,sK28,sK20)
| perp(sK28,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_34113]) ).
cnf(c_42666,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK27,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_42711,plain,
( ~ cyclic(sK27,X0,X1,X1)
| para(X1,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_24517]) ).
cnf(c_42713,plain,
( ~ cyclic(sK27,sK20,sK20,sK20)
| para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_42711]) ).
cnf(c_45171,plain,
( ~ perp(sK28,X0,X1,sK28)
| perp(X1,sK28,sK28,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_45172,plain,
( ~ perp(sK28,sK20,sK20,sK28)
| perp(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_45171]) ).
cnf(c_46403,plain,
( ~ midp(X0,sK27,sK27)
| cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_46406,plain,
( ~ midp(sK20,sK27,sK27)
| cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_46403]) ).
cnf(c_55679,plain,
( ~ para(X0,sK27,X0,sK27)
| ~ midp(X1,X0,X0)
| midp(X1,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_42666]) ).
cnf(c_55683,plain,
( ~ para(sK20,sK27,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_55679]) ).
cnf(c_55684,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55683,c_46406,c_45172,c_42713,c_34116,c_30519,c_15764,c_14756,c_14728,c_13454,c_13351,c_13350,c_13117,c_12813,c_11480,c_11058,c_9718,c_8919,c_8427,c_7699,c_7514,c_7482,c_6589,c_6534,c_6332,c_4807,c_4123,c_3960,c_3550,c_3207,c_3041,c_2933,c_2925,c_2695,c_2682,c_2649,c_2528,c_2418,c_2412,c_2400,c_239,c_206,c_191,c_190,c_185,c_181,c_178,c_162,c_164,c_166,c_167,c_175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 23:59:44 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.98/5.71 % SZS status Started for theBenchmark.p
% 35.98/5.71 % SZS status Theorem for theBenchmark.p
% 35.98/5.71
% 35.98/5.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.98/5.71
% 35.98/5.71 ------ iProver source info
% 35.98/5.71
% 35.98/5.71 git: date: 2023-05-31 18:12:56 +0000
% 35.98/5.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.98/5.71 git: non_committed_changes: false
% 35.98/5.71 git: last_make_outside_of_git: false
% 35.98/5.71
% 35.98/5.71 ------ Parsing...
% 35.98/5.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.98/5.71
% 35.98/5.71 ------ Preprocessing...
% 35.98/5.71
% 35.98/5.71 ------ Preprocessing...
% 35.98/5.71
% 35.98/5.71 ------ Preprocessing...
% 35.98/5.71 ------ Proving...
% 35.98/5.71 ------ Problem Properties
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71 clauses 126
% 35.98/5.71 conjectures 14
% 35.98/5.71 EPR 89
% 35.98/5.71 Horn 116
% 35.98/5.71 unary 14
% 35.98/5.71 binary 37
% 35.98/5.71 lits 342
% 35.98/5.71 lits eq 4
% 35.98/5.71 fd_pure 0
% 35.98/5.71 fd_pseudo 0
% 35.98/5.71 fd_cond 0
% 35.98/5.71 fd_pseudo_cond 4
% 35.98/5.71 AC symbols 0
% 35.98/5.71
% 35.98/5.71 ------ Input Options Time Limit: Unbounded
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71 ------
% 35.98/5.71 Current options:
% 35.98/5.71 ------
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71 ------ Proving...
% 35.98/5.71
% 35.98/5.71
% 35.98/5.71 % SZS status Theorem for theBenchmark.p
% 35.98/5.71
% 35.98/5.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.98/5.71
% 35.98/5.72
%------------------------------------------------------------------------------