TSTP Solution File: GEO648+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 23:12:19 EDT 2023
% Result : Theorem 11.95s 2.69s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 34
% Syntax : Number of formulae : 275 ( 45 unt; 0 def)
% Number of atoms : 707 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 734 ( 302 ~; 293 |; 88 &)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-5 aty)
% Number of variables : 929 ( 1 sgn; 676 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
( ( circle(X0,X2,X4,X21)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X20)
& circle(X0,X1,X18,X19) )
=> para(X0,X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
( ( circle(X0,X2,X4,X21)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X20)
& circle(X0,X1,X18,X19) )
=> para(X0,X3,X1,X4) ),
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(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(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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(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(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> para(X0,X3,X1,X4) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(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(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(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(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(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(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(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(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) ),
inference(flattening,[],[f319]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> ( ~ para(sK20,sK23,sK21,sK24)
& circle(sK20,sK22,sK24,sK28)
& coll(sK22,sK20,sK24)
& perp(sK20,sK21,sK21,sK23)
& perp(sK20,sK22,sK22,sK23)
& circle(sK20,sK21,sK22,sK27)
& circle(sK20,sK21,sK25,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK20,sK23,sK21,sK24)
& circle(sK20,sK22,sK24,sK28)
& coll(sK22,sK20,sK24)
& perp(sK20,sK21,sK21,sK23)
& perp(sK20,sK22,sK22,sK23)
& circle(sK20,sK21,sK22,sK27)
& circle(sK20,sK21,sK25,sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(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(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(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(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(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(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(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f475,plain,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK22,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
circle(sK20,sK22,sK24,sK28),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
~ para(sK20,sK23,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_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_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_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_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_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_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_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ para(sK20,sK23,sK21,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,negated_conjecture,
circle(sK20,sK22,sK24,sK28),
inference(cnf_transformation,[],[f478]) ).
cnf(c_164,negated_conjecture,
coll(sK22,sK20,sK24),
inference(cnf_transformation,[],[f477]) ).
cnf(c_165,negated_conjecture,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_166,negated_conjecture,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f475]) ).
cnf(c_174,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_178,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_232,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_6615,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_6659,plain,
perp(sK20,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_165,c_55]) ).
cnf(c_6667,plain,
perp(sK21,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_6668,plain,
perp(sK22,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6669,plain,
perp(sK23,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6659,c_56]) ).
cnf(c_6672,plain,
perp(sK21,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_6667,c_55]) ).
cnf(c_6736,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6615,c_51]) ).
cnf(c_6798,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6615,c_6736]) ).
cnf(c_6802,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_6798,c_49]) ).
cnf(c_6828,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6802,c_51]) ).
cnf(c_6834,plain,
( ~ coll(sK20,sK22,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6828]) ).
cnf(c_7085,plain,
( ~ midp(X0,sK20,sK23)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_165,c_101]) ).
cnf(c_7131,plain,
( ~ midp(X0,sK20,sK23)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_7085,c_71]) ).
cnf(c_7163,plain,
( ~ midp(X0,sK20,sK23)
| cong(X0,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_7131,c_72]) ).
cnf(c_7237,plain,
( ~ midp(sK21,sK21,sK23)
| cong(sK20,sK21,sK20,sK23) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
cnf(c_7243,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK23,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_6669,c_104]) ).
cnf(c_7306,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
cnf(c_7307,plain,
( ~ perp(sK22,sK23,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_7310,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6667,c_57]) ).
cnf(c_7368,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| para(sK21,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7310]) ).
cnf(c_7380,plain,
( ~ perp(sK21,sK23,X0,X1)
| ~ perp(sK20,sK21,sK21,sK23)
| para(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7487,plain,
( ~ midp(sK21,sK21,sK23)
| cong(sK20,sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7237,c_72]) ).
cnf(c_7518,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6667,c_7306]) ).
cnf(c_7519,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6672,c_7306]) ).
cnf(c_7526,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6668,c_7307]) ).
cnf(c_7535,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7518,c_115]) ).
cnf(c_7588,plain,
( ~ perp(sK20,sK21,sK21,sK23)
| ~ coll(sK23,X0,X1)
| perp(sK16(sK20,sK23,sK21,X0,X1),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_7589,plain,
( ~ perp(sK20,sK21,sK21,sK23)
| ~ coll(sK23,sK20,sK20)
| perp(sK16(sK20,sK23,sK21,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7588]) ).
cnf(c_7610,plain,
( ~ cong(sK21,X0,X1,X2)
| ~ midp(X0,sK20,sK23)
| cong(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7085,c_73]) ).
cnf(c_7617,plain,
( ~ cong(sK20,sK23,X0,X1)
| ~ midp(sK21,sK21,sK23)
| cong(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7237,c_73]) ).
cnf(c_7670,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7535,c_50]) ).
cnf(c_7681,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_7670,c_49]) ).
cnf(c_7684,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7681,c_51]) ).
cnf(c_7696,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7519,c_53]) ).
cnf(c_7971,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7696,c_52]) ).
cnf(c_8007,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_7971,c_115]) ).
cnf(c_8009,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_8007,c_50]) ).
cnf(c_8322,plain,
para(sK21,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_6659,c_7310]) ).
cnf(c_8336,plain,
para(sK23,sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_8322,c_53]) ).
cnf(c_8810,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_8823,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8810]) ).
cnf(c_9179,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7518,c_94]) ).
cnf(c_9233,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9179]) ).
cnf(c_9464,plain,
( ~ midp(sK21,sK21,sK23)
| cong(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7487,c_7617]) ).
cnf(c_10366,plain,
( ~ circle(sK20,sK22,X0,X1)
| eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0) ),
inference(superposition,[status(thm)],[c_166,c_97]) ).
cnf(c_10588,plain,
( ~ circle(sK20,sK22,X0,X1)
| eqangle(X1,sK22,X1,X0,sK22,sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_10366,c_68]) ).
cnf(c_10761,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7526,c_113]) ).
cnf(c_10796,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10761,c_7526]) ).
cnf(c_10814,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10796]) ).
cnf(c_11826,plain,
( ~ coll(sK23,X0,X1)
| perp(sK16(sK20,sK23,sK21,X0,X1),sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_155]) ).
cnf(c_11933,plain,
( ~ coll(sK23,X0,X1)
| perp(X0,X1,sK16(sK20,sK23,sK21,X0,X1),sK20) ),
inference(superposition,[status(thm)],[c_11826,c_56]) ).
cnf(c_12093,plain,
( ~ perp(sK16(sK20,sK23,sK21,X0,X1),sK20,X2,X3)
| ~ coll(sK23,X0,X1)
| para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_11933,c_57]) ).
cnf(c_12140,plain,
( ~ perp(sK16(sK20,sK23,sK21,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12093]) ).
cnf(c_12830,plain,
( ~ coll(sK21,X0,sK23)
| ~ midp(sK23,X0,sK21)
| midp(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_8336,c_94]) ).
cnf(c_12834,plain,
para(sK23,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_8336,c_52]) ).
cnf(c_12847,plain,
( ~ coll(sK21,sK20,sK23)
| ~ midp(sK23,sK20,sK21)
| midp(sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_12830]) ).
cnf(c_12875,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_12834,c_115]) ).
cnf(c_13344,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_12875,c_51]) ).
cnf(c_13345,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_12875,c_50]) ).
cnf(c_13349,plain,
( ~ coll(sK23,sK21,sK20)
| coll(sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_13344]) ).
cnf(c_13369,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_13345,c_49]) ).
cnf(c_13375,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_13369,c_7684]) ).
cnf(c_13380,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_13375,c_50]) ).
cnf(c_13381,plain,
coll(sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_13375,c_49]) ).
cnf(c_14031,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_13380,c_49]) ).
cnf(c_14035,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_13381,c_51]) ).
cnf(c_14041,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14035]) ).
cnf(c_15586,plain,
( ~ eqangle(X0,sK22,X0,X1,X2,X3,X4,X5)
| ~ circle(sK20,sK22,X1,X0)
| eqangle(sK22,sK23,sK22,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_10366,c_70]) ).
cnf(c_18883,plain,
( ~ circle(sK20,sK22,X0,X1)
| eqangle(sK22,sK23,sK22,X0,sK22,sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_10588,c_15586]) ).
cnf(c_22249,plain,
( ~ perp(X0,X1,sK20,sK21)
| perp(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_22250,plain,
( ~ perp(sK20,sK20,sK20,sK21)
| perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22249]) ).
cnf(c_22794,plain,
( ~ para(X0,X1,sK21,sK24)
| ~ para(sK20,sK23,X0,X1)
| para(sK20,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_22969,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK21,sK23,X0,X1)
| perp(sK21,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_25561,plain,
( ~ midp(sK21,sK20,sK23)
| cong(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7163,c_7610]) ).
cnf(c_26059,plain,
cong(sK23,sK20,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_7243,c_165,c_174,c_178,c_232,c_6802,c_6834,c_7243,c_7589,c_7670,c_8009,c_8823,c_9233,c_12140,c_14041]) ).
cnf(c_26067,plain,
( ~ coll(sK23,sK20,sK21)
| midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26059,c_116]) ).
cnf(c_26078,plain,
midp(sK23,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_26067,c_13380]) ).
cnf(c_28330,plain,
cong(sK20,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_9464,c_12847,c_13349,c_14031,c_25561,c_26078]) ).
cnf(c_28346,plain,
( ~ cong(sK20,X0,sK20,X0)
| perp(sK20,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_28330,c_105]) ).
cnf(c_28408,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_28346]) ).
cnf(c_38780,plain,
( ~ perp(sK20,sK21,sK21,sK23)
| ~ perp(sK21,sK23,sK21,sK24)
| para(sK20,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_7380]) ).
cnf(c_38781,plain,
( ~ para(sK20,sK23,sK20,sK21)
| ~ para(sK20,sK21,sK21,sK24)
| para(sK20,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_22794]) ).
cnf(c_47557,plain,
( ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_47558,plain,
( ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK24,sK20,sK24)
| perp(sK20,sK20,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_47557]) ).
cnf(c_48180,plain,
( ~ para(sK21,sK23,X0,X1)
| ~ perp(X0,X1,sK21,sK24)
| perp(sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_22969]) ).
cnf(c_48181,plain,
( ~ para(sK21,sK23,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK24)
| perp(sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_48180]) ).
cnf(c_48218,plain,
( ~ midp(sK20,X0,sK20)
| ~ midp(sK23,X0,sK21)
| para(sK20,sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_48219,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK23,sK20,sK21)
| para(sK20,sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_48218]) ).
cnf(c_49636,plain,
eqangle(sK22,sK23,sK22,sK24,sK22,sK23,sK22,sK24),
inference(superposition,[status(thm)],[c_163,c_18883]) ).
cnf(c_49692,plain,
eqangle(sK22,sK24,sK22,sK23,sK22,sK24,sK22,sK23),
inference(superposition,[status(thm)],[c_49636,c_67]) ).
cnf(c_49756,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_49692,c_87]) ).
cnf(c_50105,plain,
( ~ para(sK22,sK24,sK22,sK24)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_49756,c_113]) ).
cnf(c_50115,plain,
( ~ midp(X0,sK22,sK22)
| midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50105,c_49756]) ).
cnf(c_50118,plain,
( ~ midp(sK20,sK22,sK22)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_50115]) ).
cnf(c_64581,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_64582,plain,
( ~ midp(sK20,sK24,sK24)
| cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_64581]) ).
cnf(c_64583,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_64582,c_50118,c_48219,c_48181,c_47558,c_38781,c_38780,c_28408,c_26078,c_25561,c_22250,c_14041,c_14031,c_13349,c_12847,c_12140,c_10814,c_8823,c_8009,c_7589,c_7368,c_6834,c_6802,c_232,c_178,c_174,c_162,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n017.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 18:54:29 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.95/2.69 % SZS status Started for theBenchmark.p
% 11.95/2.69 % SZS status Theorem for theBenchmark.p
% 11.95/2.69
% 11.95/2.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.95/2.69
% 11.95/2.69 ------ iProver source info
% 11.95/2.69
% 11.95/2.69 git: date: 2023-05-31 18:12:56 +0000
% 11.95/2.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.95/2.69 git: non_committed_changes: false
% 11.95/2.69 git: last_make_outside_of_git: false
% 11.95/2.69
% 11.95/2.69 ------ Parsing...
% 11.95/2.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.95/2.69
% 11.95/2.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 11.95/2.69
% 11.95/2.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.95/2.69
% 11.95/2.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.95/2.69 ------ Proving...
% 11.95/2.69 ------ Problem Properties
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69 clauses 119
% 11.95/2.69 conjectures 7
% 11.95/2.69 EPR 82
% 11.95/2.69 Horn 109
% 11.95/2.69 unary 7
% 11.95/2.69 binary 37
% 11.95/2.69 lits 335
% 11.95/2.69 lits eq 4
% 11.95/2.69 fd_pure 0
% 11.95/2.69 fd_pseudo 0
% 11.95/2.69 fd_cond 0
% 11.95/2.69 fd_pseudo_cond 4
% 11.95/2.69 AC symbols 0
% 11.95/2.69
% 11.95/2.69 ------ Schedule dynamic 5 is on
% 11.95/2.69
% 11.95/2.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69 ------
% 11.95/2.69 Current options:
% 11.95/2.69 ------
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69 ------ Proving...
% 11.95/2.69
% 11.95/2.69
% 11.95/2.69 % SZS status Theorem for theBenchmark.p
% 11.95/2.69
% 11.95/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.95/2.69
% 11.95/2.70
%------------------------------------------------------------------------------