TSTP Solution File: GEO569+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO569+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:11:49 EDT 2023
% Result : Theorem 32.02s 5.22s
% Output : CNFRefutation 32.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 249 ( 13 unt; 0 def)
% Number of atoms : 691 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 770 ( 328 ~; 319 |; 82 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 697 ( 0 sgn; 451 !; 24 ?)
% 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(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
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(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
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(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(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
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(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X19,X8,X9] :
( ( coll(X9,X0,X1)
& coll(X9,X7,X19)
& coll(X8,X0,X2)
& coll(X8,X7,X18)
& midp(X19,X2,X0)
& midp(X18,X1,X0)
& circle(X7,X0,X1,X2) )
=> cyclic(X9,X1,X2,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214031) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X19,X8,X9] :
( ( coll(X9,X0,X1)
& coll(X9,X7,X19)
& coll(X8,X0,X2)
& coll(X8,X7,X18)
& midp(X19,X2,X0)
& midp(X18,X1,X0)
& circle(X7,X0,X1,X2) )
=> cyclic(X9,X1,X2,X8) ),
inference(negated_conjecture,[],[f95]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(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(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
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(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
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(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X1)
& coll(X7,X3,X5)
& coll(X6,X0,X2)
& coll(X6,X3,X4)
& midp(X5,X2,X0)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> cyclic(X7,X1,X2,X6) ),
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(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
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(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
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(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(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
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(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(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(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X7,X1,X2,X6)
& coll(X7,X0,X1)
& coll(X7,X3,X5)
& coll(X6,X0,X2)
& coll(X6,X3,X4)
& midp(X5,X2,X0)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X7,X1,X2,X6)
& coll(X7,X0,X1)
& coll(X7,X3,X5)
& coll(X6,X0,X2)
& coll(X6,X3,X4)
& midp(X5,X2,X0)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X7,X1,X2,X6)
& coll(X7,X0,X1)
& coll(X7,X3,X5)
& coll(X6,X0,X2)
& coll(X6,X3,X4)
& midp(X5,X2,X0)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK27,sK21,sK22,sK26)
& coll(sK27,sK20,sK21)
& coll(sK27,sK23,sK25)
& coll(sK26,sK20,sK22)
& coll(sK26,sK23,sK24)
& midp(sK25,sK22,sK20)
& midp(sK24,sK21,sK20)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK27,sK21,sK22,sK26)
& coll(sK27,sK20,sK21)
& coll(sK27,sK23,sK25)
& coll(sK26,sK20,sK22)
& coll(sK26,sK23,sK24)
& midp(sK25,sK22,sK20)
& midp(sK24,sK21,sK20)
& 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(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
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(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
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(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(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
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(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(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(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f474,plain,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
midp(sK25,sK22,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
~ cyclic(sK27,sK21,sK22,sK26),
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_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_61,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X4)
| cyclic(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
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_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
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_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_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
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_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK27,sK21,sK22,sK26),
inference(cnf_transformation,[],[f480]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f479]) ).
cnf(c_165,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_167,negated_conjecture,
midp(sK25,sK22,sK20),
inference(cnf_transformation,[],[f475]) ).
cnf(c_168,negated_conjecture,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_172,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_175,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_178,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_180,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_185,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_233,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_2353,plain,
( ~ coll(sK27,sK20,sK21)
| coll(sK20,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2354,plain,
( ~ coll(sK27,sK20,sK21)
| coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2366,plain,
( ~ coll(sK26,sK20,sK22)
| coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2377,plain,
( ~ midp(sK25,sK22,sK20)
| coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_2378,plain,
( ~ midp(sK25,sK22,sK20)
| cong(sK25,sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_2388,plain,
( ~ midp(sK24,sK21,sK20)
| coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_2389,plain,
( ~ midp(sK24,sK21,sK20)
| cong(sK24,sK21,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_2433,plain,
( ~ coll(sK20,sK27,X0)
| ~ coll(sK20,sK27,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2434,plain,
( ~ coll(sK20,sK27,sK21)
| ~ coll(sK20,sK27,sK20)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2433]) ).
cnf(c_2441,plain,
( ~ coll(sK27,sK21,X0)
| ~ coll(sK27,sK21,sK20)
| coll(X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2442,plain,
( ~ coll(sK27,sK21,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_2441]) ).
cnf(c_2449,plain,
( ~ cong(sK25,sK22,sK25,X0)
| ~ cong(sK25,sK22,sK25,sK20)
| circle(sK25,sK22,sK20,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2450,plain,
( ~ cong(sK25,sK22,sK25,sK20)
| circle(sK25,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2449]) ).
cnf(c_2451,plain,
( ~ cong(sK25,sK22,sK25,X0)
| ~ cong(sK25,sK22,sK25,X1)
| ~ cong(sK25,sK22,sK25,sK20)
| cyclic(sK22,X1,X0,sK20) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2452,plain,
( ~ cong(sK25,sK22,sK25,sK20)
| cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2451]) ).
cnf(c_2485,plain,
( ~ cong(sK24,sK21,sK24,X0)
| ~ cong(sK24,sK21,sK24,sK20)
| circle(sK24,sK21,sK20,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2486,plain,
( ~ cong(sK24,sK21,sK24,sK20)
| circle(sK24,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2485]) ).
cnf(c_2487,plain,
( ~ cong(sK24,sK21,sK24,X0)
| ~ cong(sK24,sK21,sK24,X1)
| ~ cong(sK24,sK21,sK24,sK20)
| cyclic(sK21,X1,X0,sK20) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2488,plain,
( ~ cong(sK24,sK21,sK24,sK20)
| cyclic(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2487]) ).
cnf(c_2665,plain,
( ~ coll(sK26,sK22,X0)
| ~ coll(sK26,sK22,sK20)
| coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2666,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2665]) ).
cnf(c_2686,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2688,plain,
( ~ circle(sK25,sK22,X0,sK20)
| ~ coll(sK25,sK22,sK20)
| perp(sK22,X0,X0,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_2691,plain,
( ~ circle(sK25,sK22,sK20,sK20)
| ~ coll(sK25,sK22,sK20)
| perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2688]) ).
cnf(c_2726,plain,
( ~ circle(sK24,sK21,X0,sK20)
| ~ coll(sK24,sK21,sK20)
| perp(sK21,X0,X0,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_2729,plain,
( ~ circle(sK24,sK21,sK20,sK20)
| ~ coll(sK24,sK21,sK20)
| perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2726]) ).
cnf(c_2782,plain,
( ~ coll(X0,sK20,sK27)
| coll(X0,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2783,plain,
( ~ coll(sK20,sK20,sK27)
| coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_2782]) ).
cnf(c_2819,plain,
( ~ cyclic(sK22,X0,X1,X2)
| ~ cyclic(sK22,X0,X1,sK20)
| cyclic(X0,X1,X2,sK20) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_2820,plain,
( ~ cyclic(sK22,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2819]) ).
cnf(c_2880,plain,
( ~ cyclic(sK27,sK21,sK26,sK22)
| cyclic(sK27,sK21,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_2957,plain,
( ~ para(X0,X1,X2,sK22)
| ~ para(X0,sK22,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK22,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_2958,plain,
( ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2957]) ).
cnf(c_2993,plain,
( ~ coll(X0,sK21,X1)
| coll(sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2994,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2993]) ).
cnf(c_3003,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK22)
| coll(sK22,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3004,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3003]) ).
cnf(c_3060,plain,
( ~ cyclic(sK21,sK27,sK26,sK22)
| cyclic(sK27,sK21,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_3497,plain,
( ~ cyclic(sK21,sK26,sK27,sK22)
| cyclic(sK21,sK27,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_3672,plain,
( ~ cyclic(X0,X1,sK26,X2)
| cyclic(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_3673,plain,
( ~ cyclic(sK20,sK20,sK26,sK20)
| cyclic(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_3672]) ).
cnf(c_3675,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK26)
| cyclic(X1,X2,X3,sK26) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4916,plain,
( ~ cyclic(X0,X1,sK21,sK27)
| ~ cyclic(X0,X1,sK21,sK26)
| cyclic(X1,sK21,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4917,plain,
( ~ cyclic(sK20,sK20,sK21,sK27)
| ~ cyclic(sK20,sK20,sK21,sK26)
| cyclic(sK20,sK21,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_4916]) ).
cnf(c_5662,plain,
( ~ cyclic(X0,sK21,sK26,sK27)
| ~ cyclic(X0,sK21,sK26,sK22)
| cyclic(sK21,sK26,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_5663,plain,
( ~ cyclic(sK20,sK21,sK26,sK27)
| ~ cyclic(sK20,sK21,sK26,sK22)
| cyclic(sK21,sK26,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_5662]) ).
cnf(c_5803,plain,
( ~ cong(sK22,X0,sK22,X1)
| ~ coll(sK22,X0,X1)
| midp(sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_5804,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| ~ coll(sK22,sK20,sK20)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5803]) ).
cnf(c_6657,plain,
( ~ cyclic(X0,sK26,X1,X2)
| cyclic(X0,X1,sK26,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_6658,plain,
( ~ cyclic(sK20,sK26,sK20,sK20)
| cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_6657]) ).
cnf(c_6664,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK26)
| cyclic(X1,X2,sK26,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_6951,plain,
( ~ cyclic(X0,sK21,X1,X2)
| cyclic(X0,X1,sK21,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_6952,plain,
( ~ cyclic(sK20,sK21,sK20,sK20)
| cyclic(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6951]) ).
cnf(c_6953,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,sK21)
| cyclic(X1,X2,sK21,X3) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_6958,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_7187,plain,
( ~ cong(sK21,X0,sK21,X1)
| ~ coll(sK21,X0,X1)
| midp(sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_7188,plain,
( ~ cong(sK21,sK20,sK21,sK20)
| ~ coll(sK21,sK20,sK20)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7187]) ).
cnf(c_7958,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,sK26,X2,X3,X4,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_7959,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7958]) ).
cnf(c_9989,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,sK21)
| ~ cyclic(X1,X2,X0,X1)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,sK21)
| cong(X1,X2,X1,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_9990,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK21)
| ~ cyclic(sK20,sK20,sK20,sK21)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9989]) ).
cnf(c_11359,plain,
( ~ cyclic(X0,X1,sK27,X2)
| cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_11360,plain,
( ~ cyclic(sK20,sK20,sK27,sK20)
| cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_11359]) ).
cnf(c_11470,plain,
( ~ eqangle(X0,X1,X0,sK26,X2,X1,X2,sK26)
| ~ coll(X0,X2,sK26)
| cyclic(X1,sK26,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_11471,plain,
( ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK26)
| cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11470]) ).
cnf(c_11707,plain,
( ~ perp(sK22,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK22,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_11708,plain,
( ~ perp(sK22,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_11707]) ).
cnf(c_11741,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK22,X1,X3)
| para(X0,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_11742,plain,
( ~ midp(sK22,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11741]) ).
cnf(c_12164,plain,
( ~ para(X0,sK22,X1,X2)
| para(X1,X2,X0,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_12165,plain,
( ~ para(sK20,sK22,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_12164]) ).
cnf(c_13572,plain,
( ~ cyclic(X0,X1,X2,sK21)
| ~ cyclic(X0,X1,X2,sK26)
| cyclic(X1,X2,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_3675]) ).
cnf(c_13573,plain,
( ~ cyclic(sK20,sK20,sK20,sK21)
| ~ cyclic(sK20,sK20,sK20,sK26)
| cyclic(sK20,sK20,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_13572]) ).
cnf(c_13805,plain,
( ~ cyclic(X0,X1,sK21,sK22)
| ~ cyclic(X0,X1,sK21,sK26)
| cyclic(X1,sK21,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_6664]) ).
cnf(c_13806,plain,
( ~ cyclic(sK20,sK20,sK21,sK22)
| ~ cyclic(sK20,sK20,sK21,sK26)
| cyclic(sK20,sK21,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_13805]) ).
cnf(c_13914,plain,
( ~ perp(sK21,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK21,X1,sK21,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_13915,plain,
( ~ perp(sK21,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_13914]) ).
cnf(c_13932,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_167,c_118]) ).
cnf(c_13939,plain,
( ~ cyclic(sK21,X0,X1,X2)
| cyclic(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_13940,plain,
( ~ cyclic(sK21,sK20,sK20,sK20)
| cyclic(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13939]) ).
cnf(c_13978,plain,
( ~ cyclic(X0,X1,sK21,X2)
| cyclic(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_13979,plain,
( ~ cyclic(sK20,sK20,sK21,sK20)
| cyclic(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_13978]) ).
cnf(c_14421,plain,
( ~ cong(X0,sK22,X0,X1)
| cong(X0,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_14422,plain,
( ~ cong(sK20,sK22,sK20,sK20)
| cong(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_14421]) ).
cnf(c_14606,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(sK21,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,sK21) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_14607,plain,
( ~ circle(sK20,sK20,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_14606]) ).
cnf(c_14915,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_13932,c_50]) ).
cnf(c_15639,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_15640,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_15639]) ).
cnf(c_16660,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_14915,c_51]) ).
cnf(c_16681,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16660]) ).
cnf(c_17546,plain,
( ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_6958]) ).
cnf(c_17547,plain,
( ~ cyclic(sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_17546]) ).
cnf(c_25980,plain,
( ~ cyclic(X0,sK27,X1,X2)
| cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_25981,plain,
( ~ cyclic(sK20,sK27,sK20,sK20)
| cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_25980]) ).
cnf(c_27257,plain,
( ~ midp(X0,sK22,X1)
| cong(X0,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_27260,plain,
( ~ midp(sK20,sK22,sK20)
| cong(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_27257]) ).
cnf(c_29020,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,sK21)
| ~ cong(X0,X1,X0,sK22)
| cyclic(X1,X2,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6953]) ).
cnf(c_29023,plain,
( ~ cong(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_29020]) ).
cnf(c_43678,plain,
( ~ eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27)
| ~ coll(X0,X0,sK27)
| cyclic(X1,sK27,X0,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_43679,plain,
( ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43678]) ).
cnf(c_43680,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43679,c_29023,c_27260,c_25981,c_17547,c_16681,c_15640,c_14607,c_14422,c_13979,c_13940,c_13915,c_13806,c_13573,c_12165,c_11742,c_11708,c_11471,c_11360,c_9990,c_7959,c_7188,c_6952,c_6658,c_5804,c_5663,c_4917,c_3673,c_3497,c_3060,c_3004,c_2994,c_2958,c_2880,c_2820,c_2783,c_2729,c_2691,c_2686,c_2666,c_2488,c_2486,c_2452,c_2450,c_2442,c_2434,c_2388,c_2389,c_2377,c_2378,c_2366,c_2353,c_2354,c_233,c_185,c_180,c_178,c_175,c_172,c_162,c_163,c_165,c_167,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO569+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:58:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.02/5.22 % SZS status Started for theBenchmark.p
% 32.02/5.22 % SZS status Theorem for theBenchmark.p
% 32.02/5.22
% 32.02/5.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.02/5.22
% 32.02/5.22 ------ iProver source info
% 32.02/5.22
% 32.02/5.22 git: date: 2023-05-31 18:12:56 +0000
% 32.02/5.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.02/5.22 git: non_committed_changes: false
% 32.02/5.22 git: last_make_outside_of_git: false
% 32.02/5.22
% 32.02/5.22 ------ Parsing...
% 32.02/5.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.02/5.22
% 32.02/5.22 ------ Preprocessing...
% 32.02/5.22
% 32.02/5.22 ------ Preprocessing...
% 32.02/5.22
% 32.02/5.22 ------ Preprocessing...
% 32.02/5.22 ------ Proving...
% 32.02/5.22 ------ Problem Properties
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22 clauses 120
% 32.02/5.22 conjectures 8
% 32.02/5.22 EPR 83
% 32.02/5.22 Horn 110
% 32.02/5.22 unary 8
% 32.02/5.22 binary 37
% 32.02/5.22 lits 336
% 32.02/5.22 lits eq 4
% 32.02/5.22 fd_pure 0
% 32.02/5.22 fd_pseudo 0
% 32.02/5.22 fd_cond 0
% 32.02/5.22 fd_pseudo_cond 4
% 32.02/5.22 AC symbols 0
% 32.02/5.22
% 32.02/5.22 ------ Input Options Time Limit: Unbounded
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22 ------
% 32.02/5.22 Current options:
% 32.02/5.22 ------
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22 ------ Proving...
% 32.02/5.22
% 32.02/5.22
% 32.02/5.22 % SZS status Theorem for theBenchmark.p
% 32.02/5.22
% 32.02/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.02/5.22
% 32.68/5.22
%------------------------------------------------------------------------------