TSTP Solution File: GEO589+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 23:11:57 EDT 2023
% Result : Theorem 39.64s 6.27s
% Output : CNFRefutation 39.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 260 ( 27 unt; 0 def)
% Number of atoms : 660 ( 4 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 695 ( 295 ~; 286 |; 65 &)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 918 ( 0 sgn; 636 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(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(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(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(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( coll(X4,X3,X7)
& circle(X7,X3,X4,X19)
& circle(X7,X0,X3,X18)
& perp(X0,X2,X1,X3)
& circle(X7,X0,X1,X2) )
=> para(X1,X4,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X1,X5,X0,X2) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(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(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK21,sK25,sK20,sK22)
& coll(sK25,sK24,sK23)
& circle(sK23,sK24,sK25,sK27)
& circle(sK23,sK20,sK24,sK26)
& perp(sK20,sK22,sK21,sK24)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK21,sK25,sK20,sK22)
& coll(sK25,sK24,sK23)
& circle(sK23,sK24,sK25,sK27)
& circle(sK23,sK20,sK24,sK26)
& perp(sK20,sK22,sK21,sK24)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(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(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK23,sK20,sK24,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
~ para(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_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_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ para(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f478]) ).
cnf(c_165,negated_conjecture,
circle(sK23,sK20,sK24,sK26),
inference(cnf_transformation,[],[f475]) ).
cnf(c_166,negated_conjecture,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f474]) ).
cnf(c_167,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_170,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_173,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_178,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_182,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_198,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_231,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_1614,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK24
| X3 != sK26
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_165]) ).
cnf(c_1615,plain,
perp(sK11(sK20,sK24,sK26,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_1614]) ).
cnf(c_5300,plain,
( ~ perp(sK20,sK22,sK21,sK24)
| perp(sK21,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5396,plain,
( ~ perp(X0,X1,sK21,sK24)
| ~ perp(sK21,sK24,sK20,sK22)
| para(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_5417,plain,
( ~ perp(sK11(sK20,sK24,sK26,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK26,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_5589,plain,
( ~ perp(sK11(sK20,sK24,sK26,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK24,sK26,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5591,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK26,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK26,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_5638,plain,
( ~ perp(sK21,sK24,sK20,sK22)
| ~ perp(sK20,sK22,sK21,sK24)
| para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_5396]) ).
cnf(c_5794,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_5798,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5794]) ).
cnf(c_6215,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_6236,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6215,c_72]) ).
cnf(c_6264,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6236,c_71]) ).
cnf(c_6288,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_6264,c_72]) ).
cnf(c_6441,plain,
( ~ perp(sK11(sK20,sK24,sK26,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK24,sK26,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_5591]) ).
cnf(c_6919,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6288,c_116]) ).
cnf(c_7019,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
cnf(c_7137,plain,
( ~ eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_7139,plain,
( ~ eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_7145,plain,
( ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| eqangle(sK20,sK22,sK20,sK22,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7137]) ).
cnf(c_7161,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7019,c_55]) ).
cnf(c_7423,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_7435,plain,
perp(sK21,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_7423,c_55]) ).
cnf(c_7955,plain,
perp(sK21,sK24,sK20,sK22),
inference(resolution,[status(thm)],[c_56,c_166]) ).
cnf(c_9859,plain,
( ~ perp(sK21,sK24,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_9872,plain,
( ~ perp(sK22,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7161,c_57]) ).
cnf(c_9911,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_10451,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7423,c_9859]) ).
cnf(c_10452,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7435,c_9859]) ).
cnf(c_10544,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_10451,c_115]) ).
cnf(c_10563,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_10452,c_53]) ).
cnf(c_11213,plain,
( ~ perp(X0,X1,sK21,sK24)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_57,c_7955]) ).
cnf(c_11561,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_10544,c_50]) ).
cnf(c_11607,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_10563,c_52]) ).
cnf(c_11746,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_11806,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
cnf(c_11942,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[status(thm)],[c_11213,c_166]) ).
cnf(c_12208,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_11561,c_49]) ).
cnf(c_12211,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_12212,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7161,c_56]) ).
cnf(c_12217,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_11607,c_115]) ).
cnf(c_12409,plain,
( ~ perp(sK21,sK24,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_12460,plain,
coll(sK20,sK22,sK22),
inference(resolution,[status(thm)],[c_115,c_11942]) ).
cnf(c_12574,plain,
coll(sK22,sK20,sK22),
inference(resolution,[status(thm)],[c_12460,c_50]) ).
cnf(c_12576,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_12211,c_12409]) ).
cnf(c_12657,plain,
coll(sK22,sK22,sK20),
inference(resolution,[status(thm)],[c_12574,c_49]) ).
cnf(c_14641,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12212,c_9872]) ).
cnf(c_16124,plain,
( ~ coll(sK22,sK22,X0)
| coll(X0,sK20,sK22) ),
inference(resolution,[status(thm)],[c_12657,c_51]) ).
cnf(c_16125,plain,
( ~ coll(sK22,sK22,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16124]) ).
cnf(c_16476,plain,
( ~ eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_16483,plain,
( ~ eqangle(sK20,sK22,sK20,sK22,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16476]) ).
cnf(c_16485,plain,
( ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK22,sK20,sK22,X4,X5,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_16486,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK22,sK20,sK22,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16485]) ).
cnf(c_16505,plain,
( ~ eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22)
| para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_17454,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_12576,c_113]) ).
cnf(c_17471,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_17454]) ).
cnf(c_18397,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7161,c_56]) ).
cnf(c_18875,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_18397,c_9872]) ).
cnf(c_19267,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_18875,c_113]) ).
cnf(c_19272,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_19267]) ).
cnf(c_19823,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK20)
| coll(X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_19824,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_19823]) ).
cnf(c_19827,plain,
( ~ coll(sK20,X0,X1)
| ~ coll(sK20,X0,sK22)
| coll(X1,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_19995,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_20946,plain,
( ~ para(X0,X1,sK20,sK22)
| ~ para(sK21,sK25,X0,X1)
| para(sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_20947,plain,
( ~ para(sK21,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22)
| para(sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20946]) ).
cnf(c_21020,plain,
( ~ para(sK20,sK22,X0,X1)
| para(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_21021,plain,
( ~ para(sK20,sK22,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_21020]) ).
cnf(c_22888,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_19827]) ).
cnf(c_22889,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_22888]) ).
cnf(c_29317,plain,
( ~ midp(sK20,X0,X1)
| ~ midp(sK22,X0,X2)
| para(sK20,sK22,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_29318,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK22,sK20,sK20)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29317]) ).
cnf(c_30269,plain,
( ~ para(sK21,sK25,X0,X1)
| para(sK21,sK25,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_30271,plain,
( ~ eqangle(sK21,sK25,X0,X1,X2,X3,X0,X1)
| para(sK21,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_30272,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK21,sK25,X0,X1)
| para(sK21,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_30274,plain,
( ~ perp(sK21,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK21,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30272]) ).
cnf(c_30284,plain,
( ~ cong(sK21,X0,sK25,X0)
| ~ cong(sK21,X1,sK25,X1)
| perp(sK21,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_30285,plain,
( ~ cong(sK21,sK20,sK25,sK20)
| perp(sK21,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30284]) ).
cnf(c_30286,plain,
( ~ eqangle(sK21,sK25,X0,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(sK21,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_31039,plain,
( ~ coll(sK22,X0,X0)
| ~ midp(X0,sK22,sK22)
| midp(sK22,X0,X0) ),
inference(instantiation,[status(thm)],[c_6919]) ).
cnf(c_31040,plain,
( ~ coll(sK22,sK20,sK20)
| ~ midp(sK20,sK22,sK22)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31039]) ).
cnf(c_32944,plain,
( ~ para(sK21,sK25,sK21,sK25)
| para(sK21,sK25,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_30269]) ).
cnf(c_33203,plain,
( ~ perp(sK21,sK25,sK25,X0)
| ~ midp(X1,sK21,X0)
| cong(sK21,X1,sK25,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_33359,plain,
( ~ eqangle(sK21,sK25,X0,X1,sK21,sK25,X0,X1)
| para(sK21,sK25,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_30271]) ).
cnf(c_33614,plain,
( ~ para(sK21,sK25,X0,X1)
| eqangle(sK21,sK25,X0,X1,X2,X3,X2,X3) ),
inference(instantiation,[status(thm)],[c_11806]) ).
cnf(c_37292,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(sK21,sK25,X0,X1,sK21,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_11746]) ).
cnf(c_37572,plain,
( ~ perp(sK21,sK25,sK25,sK21)
| ~ midp(X0,sK21,sK21)
| cong(sK21,X0,sK25,X0) ),
inference(instantiation,[status(thm)],[c_33203]) ).
cnf(c_37573,plain,
( ~ perp(sK21,sK25,sK25,sK21)
| ~ midp(sK20,sK21,sK21)
| cong(sK21,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_37572]) ).
cnf(c_40400,plain,
( ~ para(sK21,sK25,sK25,sK21)
| eqangle(sK21,sK25,sK25,sK21,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_33614]) ).
cnf(c_40415,plain,
( ~ para(sK21,sK25,sK25,sK21)
| eqangle(sK21,sK25,sK25,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40400]) ).
cnf(c_46246,plain,
( ~ eqangle(sK21,sK25,sK25,sK21,X0,X1,X0,X1)
| ~ perp(X0,X1,X0,X1)
| perp(sK21,sK25,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_30286]) ).
cnf(c_46249,plain,
( ~ eqangle(sK21,sK25,sK25,sK21,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK21,sK25,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_46246]) ).
cnf(c_46250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_46249,c_40415,c_37573,c_37292,c_33359,c_32944,c_31040,c_30285,c_30274,c_29318,c_22889,c_21021,c_20947,c_19995,c_19824,c_19272,c_17471,c_16505,c_16486,c_16483,c_16125,c_14641,c_12217,c_12208,c_9911,c_7145,c_7139,c_6441,c_5798,c_5794,c_5638,c_5589,c_5417,c_5300,c_1615,c_231,c_198,c_182,c_178,c_173,c_170,c_162,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 22:53:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 39.64/6.27 % SZS status Started for theBenchmark.p
% 39.64/6.27 % SZS status Theorem for theBenchmark.p
% 39.64/6.27
% 39.64/6.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 39.64/6.27
% 39.64/6.27 ------ iProver source info
% 39.64/6.27
% 39.64/6.27 git: date: 2023-05-31 18:12:56 +0000
% 39.64/6.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 39.64/6.27 git: non_committed_changes: false
% 39.64/6.27 git: last_make_outside_of_git: false
% 39.64/6.27
% 39.64/6.27 ------ Parsing...
% 39.64/6.27 ------ Clausification by vclausify_rel & Parsing by iProver...
% 39.64/6.27
% 39.64/6.27 ------ 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
% 39.64/6.27
% 39.64/6.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.64/6.27
% 39.64/6.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 39.64/6.27 ------ Proving...
% 39.64/6.27 ------ Problem Properties
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27 clauses 118
% 39.64/6.27 conjectures 6
% 39.64/6.27 EPR 81
% 39.64/6.27 Horn 108
% 39.64/6.27 unary 6
% 39.64/6.27 binary 37
% 39.64/6.27 lits 334
% 39.64/6.27 lits eq 4
% 39.64/6.27 fd_pure 0
% 39.64/6.27 fd_pseudo 0
% 39.64/6.27 fd_cond 0
% 39.64/6.27 fd_pseudo_cond 4
% 39.64/6.27 AC symbols 0
% 39.64/6.27
% 39.64/6.27 ------ Input Options Time Limit: Unbounded
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27 ------
% 39.64/6.27 Current options:
% 39.64/6.27 ------
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27 ------ Proving...
% 39.64/6.27
% 39.64/6.27
% 39.64/6.27 % SZS status Theorem for theBenchmark.p
% 39.64/6.27
% 39.64/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.64/6.28
% 39.64/6.28
%------------------------------------------------------------------------------