%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO567+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:29 PM UTC 2026
% Result : Theorem 23.63s 20.57s
% Output : CNFRefutation 23.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 395 ( 29 unt; 0 def)
% Number of atoms : 1013 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1150 ( 532 ~; 525 |; 56 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 969 ( 0 sgn 954 !; 15 ?; 350 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD9) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD67) ).
fof(f75,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X1,X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X1,X4,X5,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ cyclic(X1,X4,X5,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X3,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ cyclic(X1,X4,X5,X2) ),
inference(flattening,[],[f98]) ).
fof(f104,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(ennf_transformation,[],[f91]) ).
fof(f105,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(flattening,[],[f104]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,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(ennf_transformation,[],[f75]) ).
fof(f137,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(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f164,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(ennf_transformation,[],[f44]) ).
fof(f165,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(flattening,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f166]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f176,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(ennf_transformation,[],[f13]) ).
fof(f177,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(flattening,[],[f176]) ).
fof(f182,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(ennf_transformation,[],[f65]) ).
fof(f183,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(flattening,[],[f182]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f203,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(ennf_transformation,[],[f21]) ).
fof(f205,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(ennf_transformation,[],[f19]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f208]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK5,sK0,sK2)
& perp(sK5,sK3,sK0,sK2)
& coll(sK4,sK0,sK1)
& perp(sK4,sK3,sK0,sK1)
& coll(sK3,sK1,sK2)
& perp(sK3,sK0,sK1,sK2)
& ~ cyclic(sK1,sK4,sK5,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK8(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK8(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X5,sK8(X0,X1,X2,X3,X4))],[f105]) ).
fof(f239,plain,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
perp(sK5,sK3,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
perp(sK4,sK3,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK3,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
~ cyclic(sK1,sK4,sK5,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK8(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f295,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f165]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f172]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f188]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f197]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f203]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f205]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cyclic(sK1,sK4,sK5,sK2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_50,negated_conjecture,
perp(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_51,negated_conjecture,
coll(sK3,sK1,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_52,negated_conjecture,
perp(sK4,sK3,sK0,sK1),
inference(cnf_transformation,[],[f242]) ).
tcf(c_53,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_54,negated_conjecture,
perp(sK5,sK3,sK0,sK2),
inference(cnf_transformation,[],[f240]) ).
tcf(c_55,negated_conjecture,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK8(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_152,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_153,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_157,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_195,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_1921,plain,
( coll(sK0,sK4,sK1)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1924,plain,
( coll(sK4,sK1,sK0)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_1925,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_1926,plain,
( perp(sK1,sK2,sK3,sK0)
| ~ perp(sK3,sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1927,plain,
( perp(sK0,sK1,sK4,sK3)
| ~ perp(sK4,sK3,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1928,plain,
( perp(sK0,sK2,sK5,sK3)
| ~ perp(sK5,sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1930,plain,
( perp(sK4,sK3,sK1,sK0)
| ~ perp(sK4,sK3,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1931,plain,
( perp(sK5,sK3,sK2,sK0)
| ~ perp(sK5,sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1934,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,sK1)
| ~ coll(sK4,sK0,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_1936,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK0,sK2)
| ~ coll(sK5,sK0,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,X0,X1)
| ~ perp(sK3,sK0,sK1,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2090,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK4,sK1)
| ~ coll(sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2093,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK4,sK0)
| ~ coll(sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2090]) ).
tcf(c_2171,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,sK0)
| ~ coll(sK4,sK1,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2173,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2174,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2171]) ).
tcf(c_2198,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK2,sK0)
| ~ coll(sK5,sK2,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2200,plain,
( coll(sK2,sK5,sK0)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2201,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2198]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,X0,X1)
| ~ perp(sK1,sK2,sK3,sK0)
| ~ perp(sK3,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2219,plain,
( perp(sK1,sK2,sK0,sK3)
| ~ perp(sK1,sK2,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2233,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK4,sK3)
| ~ perp(sK4,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK0,sK2,sK5,sK3)
| ~ perp(sK5,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2308,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_1934]) ).
tcf(c_2310,plain,
( para(sK3,sK0,sK3,sK0)
| ~ perp(sK3,sK0,sK1,sK2)
| ~ perp(sK1,sK2,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_1953]) ).
tcf(c_2384,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK1,sK4)
| ~ coll(sK1,sK1,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2385,plain,
( coll(sK1,sK4,sK1)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2554,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2557,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2554]) ).
tcf(c_2588,plain,
coll(sK0,sK4,sK1),
inference(superposition,[status(thm)],[c_53,c_83]) ).
tcf(c_2611,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK5,sK0)
| ~ coll(sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2629,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_2647,plain,
( perp(sK0,sK3,sK1,sK2)
| ~ perp(sK1,sK2,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2675,plain,
coll(sK0,sK1,sK4),
inference(superposition,[status(thm)],[c_2588,c_84]) ).
tcf(c_2734,plain,
coll(sK1,sK0,sK4),
inference(superposition,[status(thm)],[c_2675,c_83]) ).
tcf(c_2785,plain,
perp(sK1,sK2,sK3,sK0),
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_2786,plain,
perp(sK0,sK1,sK4,sK3),
inference(superposition,[status(thm)],[c_52,c_97]) ).
tcf(c_2846,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2866,plain,
perp(sK1,sK2,sK0,sK3),
inference(superposition,[status(thm)],[c_2785,c_98]) ).
tcf(c_2897,plain,
( coll(sK1,sK1,sK0)
| ~ coll(sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2090]) ).
tcf(c_2919,plain,
! [X0: $i] :
( coll(sK0,sK4,X0)
| ~ coll(sK0,X0,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2921,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_2919]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK4,sK0,X1)
| ~ coll(sK0,X1,sK4)
| ~ eqangle(sK0,X0,sK0,sK4,X1,X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2930,plain,
( cyclic(sK0,sK4,sK0,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_2929]) ).
tcf(c_2958,plain,
perp(sK0,sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_2866,c_97]) ).
tcf(c_2979,plain,
! [X0: $i,X1: $i] :
( coll(sK5,X1,sK0)
| ~ coll(sK0,X0,sK5)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3068,plain,
( para(sK1,sK2,sK1,sK2)
| ~ perp(sK3,sK0,sK1,sK2)
| ~ perp(sK1,sK2,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_2217]) ).
tcf(c_3070,plain,
( para(sK0,sK1,sK0,sK1)
| ~ perp(sK0,sK1,sK4,sK3)
| ~ perp(sK4,sK3,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2233]) ).
tcf(c_3071,plain,
( para(sK0,sK1,sK1,sK0)
| ~ perp(sK0,sK1,sK4,sK3)
| ~ perp(sK4,sK3,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2233]) ).
tcf(c_3077,plain,
( para(sK0,sK2,sK2,sK0)
| ~ perp(sK0,sK2,sK5,sK3)
| ~ perp(sK5,sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2249]) ).
tcf(c_3269,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_2629,c_82]) ).
tcf(c_3271,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_2734,c_82]) ).
tcf(c_3454,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK2,X0,X1,sK1,sK2,X0,X1)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_3463,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_3466,plain,
( eqangle(sK0,sK1,sK0,sK0,sK0,sK1,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3463]) ).
tcf(c_3527,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK4,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3530,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3527]) ).
tcf(c_4018,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_108,c_122]) ).
tcf(c_4022,plain,
( para(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4018]) ).
tcf(c_4147,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,X0,X1,sK1,sK0,X0,X1)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_4150,plain,
( eqangle(sK0,sK1,sK0,sK0,sK1,sK0,sK0,sK0)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_4147]) ).
tcf(c_4274,plain,
coll(sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_2629,c_3269]) ).
tcf(c_4283,plain,
coll(sK0,sK4,sK0),
inference(superposition,[status(thm)],[c_4274,c_84]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,X0,X1,sK2,sK0,X0,X1)
| ~ para(sK0,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_4297,plain,
( eqangle(sK0,sK2,sK0,sK0,sK2,sK0,sK0,sK0)
| ~ para(sK0,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_4294]) ).
tcf(c_4393,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_2734,c_3271]) ).
tcf(c_4460,plain,
( cong(sK3,sK1,sK3,sK2)
| ~ midp(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_50,c_93]) ).
tcf(c_4461,plain,
( cong(sK4,sK0,sK4,sK1)
| ~ midp(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_93]) ).
tcf(c_4476,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ midp(sK3,sK1,sK2) ),
inference(superposition,[status(thm)],[c_2958,c_93]) ).
tcf(c_4694,plain,
( coll(sK2,sK1,sK5)
| ~ coll(sK5,sK0,sK2)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_1936]) ).
tcf(c_4711,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4712,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4711]) ).
tcf(c_4818,plain,
( coll(sK4,sK5,sK1)
| ~ coll(sK1,sK1,sK5)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_2384]) ).
tcf(c_4875,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_5272,plain,
( midp(sK3,sK1,sK2)
| ~ midp(sK0,sK1,sK2)
| ~ coll(sK3,sK1,sK2) ),
inference(superposition,[status(thm)],[c_4460,c_78]) ).
tcf(c_5279,plain,
( midp(sK3,sK1,sK2)
| ~ midp(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5272,c_51]) ).
tcf(c_5364,plain,
( midp(sK4,sK0,sK1)
| ~ midp(sK3,sK0,sK1)
| ~ coll(sK4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_4461,c_78]) ).
tcf(c_5371,plain,
( midp(sK4,sK0,sK1)
| ~ midp(sK3,sK0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5364,c_53]) ).
tcf(c_5442,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK3,sK1,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_5447,plain,
( para(sK0,sK3,sK0,sK0)
| ~ perp(sK0,sK3,sK1,sK2)
| ~ perp(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5442]) ).
tcf(c_6253,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK4,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_2786,c_96]) ).
tcf(c_6431,plain,
( coll(sK0,sK1,sK2)
| ~ coll(sK2,sK5,sK0)
| ~ coll(sK2,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2611]) ).
tcf(c_6524,plain,
! [X0: $i] :
( coll(sK5,sK1,sK0)
| ~ coll(sK0,X0,sK5)
| ~ coll(sK0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_2979]) ).
tcf(c_6526,plain,
( coll(sK5,sK1,sK0)
| ~ coll(sK0,sK0,sK5)
| ~ coll(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_6524]) ).
tcf(c_6875,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_4283,c_82]) ).
tcf(c_6881,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_6875]) ).
tcf(c_7106,plain,
coll(sK4,sK1,sK4),
inference(superposition,[status(thm)],[c_4393,c_84]) ).
tcf(c_7556,plain,
( coll(sK5,sK0,sK1)
| ~ coll(sK5,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_7565,plain,
! [X0: $i] :
( circle(sK3,sK1,sK2,X0)
| ~ midp(sK0,sK1,sK2)
| ~ cong(sK3,sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_4460,c_143]) ).
tcf(c_7638,plain,
( coll(sK2,sK5,sK1)
| ~ coll(sK2,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_8025,plain,
! [X0: $i] :
( eqangle(sK1,sK2,sK1,X0,sK1,sK2,sK1,X0)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_3454]) ).
tcf(c_8026,plain,
! [X0: $i] :
( cyclic(sK2,X0,sK1,sK1)
| ~ coll(sK1,sK1,X0)
| ~ eqangle(sK1,sK2,sK1,X0,sK1,sK2,sK1,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8028,plain,
( eqangle(sK1,sK2,sK1,sK0,sK1,sK2,sK1,sK0)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_8025]) ).
tcf(c_8030,plain,
( cyclic(sK2,sK0,sK1,sK1)
| ~ coll(sK1,sK1,sK0)
| ~ eqangle(sK1,sK2,sK1,sK0,sK1,sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_8026]) ).
tcf(c_8053,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,X0,sK0,sK1,sK0,X0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3463]) ).
tcf(c_8054,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK0,sK0)
| ~ coll(sK0,sK0,X0)
| ~ eqangle(sK0,sK1,sK0,X0,sK0,sK1,sK0,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8057,plain,
( cyclic(sK1,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK1,sK0,sK0,sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_8054]) ).
tcf(c_9541,plain,
! [X0: $i] :
( coll(sK1,sK1,sK5)
| ~ coll(sK5,X0,sK1) ),
inference(instantiation,[status(thm)],[c_4875]) ).
tcf(c_9542,plain,
( coll(sK1,sK1,sK5)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_9541]) ).
tcf(c_9930,plain,
! [X0: $i] :
( coll(sK4,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_7106,c_82]) ).
tcf(c_9936,plain,
( coll(sK4,sK0,sK4)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_9930]) ).
tcf(c_11439,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,sK1,sK0,X0,X1,X0,X1)
| ~ eqangle(sK0,sK1,X0,X1,sK1,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_11440,plain,
( eqangle(sK0,sK1,sK1,sK0,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK1,sK0,sK0,sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11439]) ).
tcf(c_11455,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,sK2,sK0,X0,X1,X0,X1)
| ~ eqangle(sK0,sK2,X0,X1,sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_11456,plain,
( eqangle(sK0,sK2,sK2,sK0,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK0,sK0,sK2,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11455]) ).
tcf(c_13418,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_52,c_6253]) ).
tcf(c_13448,plain,
! [X0: $i] :
( midp(sK1,X0,sK1)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_13418,c_81]) ).
tcf(c_13456,plain,
( midp(sK1,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_13448]) ).
tcf(c_15988,plain,
( eqangle(sK0,sK1,sK0,sK4,sK0,sK1,sK0,sK4)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_15989,plain,
( cyclic(sK1,sK4,sK0,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ eqangle(sK0,sK1,sK0,sK4,sK0,sK1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_2929]) ).
tcf(c_16336,plain,
! [X0: $i] :
( cyclic(X0,sK2,sK1,sK1)
| ~ cyclic(sK2,X0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_16337,plain,
( cyclic(sK0,sK2,sK1,sK1)
| ~ cyclic(sK2,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_16336]) ).
tcf(c_16493,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK0,X1,sK0)
| ~ cyclic(sK1,X0,sK0,sK0)
| ~ cyclic(sK1,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_16497,plain,
! [X0: $i] :
( cyclic(X0,sK1,sK0,sK0)
| ~ cyclic(sK1,X0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_16498,plain,
( cyclic(sK0,sK1,sK0,sK0)
| ~ cyclic(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_16497]) ).
tcf(c_16500,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ cyclic(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_16493]) ).
tcf(c_16801,plain,
( circle(sK3,sK1,sK2,sK2)
| ~ midp(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_4460,c_7565]) ).
tcf(c_16858,plain,
( perp(sK1,sK2,sK2,sK2)
| ~ midp(sK0,sK1,sK2)
| ~ coll(sK3,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16801,c_138]) ).
tcf(c_16859,plain,
( perp(sK1,sK2,sK2,sK2)
| ~ midp(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16858,c_51]) ).
tcf(c_16874,plain,
! [X0: $i,X1: $i] :
( perp(sK8(sK1,sK2,sK2,X0,X1),sK1,X0,X1)
| ~ midp(sK0,sK1,sK2)
| ~ coll(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_16859,c_61]) ).
tcf(c_16876,plain,
! [X0: $i] :
( cong(sK1,X0,sK2,X0)
| ~ midp(sK0,sK1,sK2)
| ~ midp(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16859,c_94]) ).
tcf(c_16905,plain,
( cong(sK1,sK0,sK2,sK0)
| ~ midp(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_16876]) ).
tcf(c_17204,plain,
! [X0: $i,X1: $i] :
( perp(sK1,sK2,X1,X0)
| ~ midp(sK0,sK1,sK2)
| ~ midp(X1,sK1,sK2)
| ~ cong(sK1,X0,sK2,X0) ),
inference(superposition,[status(thm)],[c_16876,c_92]) ).
tcf(c_17225,plain,
( perp(sK1,sK2,sK0,sK0)
| ~ midp(sK0,sK1,sK2)
| ~ cong(sK1,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_17204]) ).
tcf(c_20597,plain,
! [X0: $i] :
( cyclic(sK1,sK4,sK5,sK2)
| ~ cyclic(X0,sK1,sK4,sK2)
| ~ cyclic(X0,sK1,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_20634,plain,
! [X0: $i] :
( cyclic(X0,sK1,sK4,sK5)
| ~ coll(sK4,sK5,sK1)
| ~ eqangle(sK4,X0,sK4,sK1,sK5,X0,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_20650,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,sK1,X1,sK4)
| ~ cyclic(X1,sK1,X0,sK4)
| ~ cyclic(X1,sK1,X0,X2)
| ~ cyclic(X1,sK1,X0,X1)
| ~ eqangle(X0,X1,X0,sK1,X2,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_20651,plain,
( cong(sK0,sK1,sK0,sK4)
| ~ cyclic(sK0,sK1,sK0,sK0)
| ~ cyclic(sK0,sK1,sK0,sK4)
| ~ eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_20650]) ).
tcf(c_20847,plain,
! [X0: $i] :
( eqangle(sK4,X0,sK4,sK1,sK5,X0,sK5,sK1)
| ~ eqangle(sK4,X0,sK5,X0,sK4,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_20886,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK1,sK4)
| ~ cyclic(X0,X1,X2,sK4)
| ~ cyclic(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_20971,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,sK1,X0,X1)
| ~ cong(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_20972,plain,
( cong(sK0,sK1,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_20971]) ).
tcf(c_20973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X4,sK1,X2,X3)
| ~ cong(X4,sK1,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_20974,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK1,X2,X1)
| ~ cong(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_20986,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK1)
| ~ cong(X0,X1,sK1,X0) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_20987,plain,
( cong(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_20986]) ).
tcf(c_20991,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK1,X1,sK4)
| ~ cyclic(sK1,X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_20992,plain,
( cyclic(sK0,sK1,sK0,sK4)
| ~ cyclic(sK1,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_20991]) ).
tcf(c_21328,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK1,X1)
| ~ coll(X0,sK1,X1)
| ~ cong(X0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_21329,plain,
( midp(sK0,sK1,sK0)
| ~ coll(sK0,sK1,sK0)
| ~ cong(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21328]) ).
tcf(c_21544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK1,X2,X1)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_21590,plain,
! [X0: $i,X1: $i] :
( cyclic(sK1,sK4,X1,sK2)
| ~ cong(X0,sK1,X0,sK2)
| ~ cong(X0,sK1,X0,sK4)
| ~ cong(X0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_21591,plain,
( cyclic(sK1,sK4,sK0,sK2)
| ~ cong(sK0,sK1,sK0,sK0)
| ~ cong(sK0,sK1,sK0,sK2)
| ~ cong(sK0,sK1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_21590]) ).
tcf(c_21612,plain,
( eqangle(sK4,sK1,sK4,sK1,sK5,sK1,sK5,sK1)
| ~ eqangle(sK4,sK1,sK5,sK1,sK4,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_20847]) ).
tcf(c_21613,plain,
( eqangle(sK4,sK1,sK5,sK1,sK4,sK1,sK5,sK1)
| ~ para(sK4,sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_21777,plain,
! [X0: $i,X1: $i] :
( cyclic(sK1,X1,X0,sK4)
| ~ cyclic(sK1,X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_21778,plain,
! [X0: $i,X1: $i] :
( cyclic(sK1,X0,X1,sK4)
| ~ cyclic(sK1,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_21779,plain,
( cyclic(sK1,sK0,sK0,sK4)
| ~ cyclic(sK1,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_21778]) ).
tcf(c_21918,plain,
! [X0: $i,X1: $i] :
( cong(X0,X0,sK1,X0)
| ~ midp(X0,X0,X1)
| ~ perp(X0,sK1,sK1,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_21919,plain,
( cong(sK0,sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_21918]) ).
tcf(c_22022,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK4)
| ~ para(X0,sK4,X1,sK1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_22023,plain,
( para(sK0,sK1,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_22022]) ).
tcf(c_22198,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK1)
| ~ cyclic(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_22525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X0,sK1,X2,X4,X2,X3)
| ~ eqangle(X0,sK1,X0,X1,X2,X3,X2,X4) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_23059,plain,
! [X0: $i] :
( para(sK4,sK1,sK4,sK1)
| ~ midp(sK4,X0,sK4)
| ~ midp(sK1,X0,sK1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_23060,plain,
( para(sK4,sK1,sK4,sK1)
| ~ midp(sK4,sK0,sK4)
| ~ midp(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_23059]) ).
tcf(c_23352,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK4,sK2)
| ~ cyclic(sK1,sK4,X0,sK2) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_23353,plain,
( cyclic(sK1,sK0,sK4,sK2)
| ~ cyclic(sK1,sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_23352]) ).
tcf(c_23354,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK4,sK2)
| ~ cyclic(sK1,X0,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_23792,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK4,X2,sK4)
| ~ coll(sK4,X2,sK4)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK4,X1,sK4) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_23793,plain,
( midp(sK4,sK0,sK4)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK4,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_23792]) ).
tcf(c_24070,plain,
! [X0: $i,X1: $i] :
( cyclic(sK1,X0,sK4,X1)
| ~ cyclic(sK1,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_24071,plain,
( cyclic(sK1,sK0,sK4,sK0)
| ~ cyclic(sK1,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_24070]) ).
tcf(c_24201,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK4,X2,sK1)
| ~ midp(sK4,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_24202,plain,
( para(sK0,sK4,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_24201]) ).
tcf(c_25275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,sK1,X2,X3,X1,sK4,X2,X3)
| ~ para(X0,sK1,X1,sK4) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_25276,plain,
( eqangle(sK0,sK1,sK0,sK0,sK0,sK4,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_25275]) ).
tcf(c_25414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK1,sK1,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK1,sK1,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_25415,plain,
( perp(sK0,sK1,sK1,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK1,sK1,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25414]) ).
tcf(c_25609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X1,sK1,X2,X3)
| ~ midp(X0,sK1,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_25610,plain,
( para(sK0,sK1,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_25609]) ).
tcf(c_25672,plain,
! [X0: $i] :
( cyclic(X0,sK1,sK2,sK4)
| ~ cyclic(sK1,X0,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_20991]) ).
tcf(c_25673,plain,
( cyclic(sK0,sK1,sK2,sK4)
| ~ cyclic(sK1,sK0,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_25672]) ).
tcf(c_25978,plain,
( cyclic(sK1,sK1,sK2,sK4)
| ~ cyclic(sK1,sK2,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_21777]) ).
tcf(c_26253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK4)
| ~ eqangle(X0,X1,X2,X3,X4,sK4,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_26829,plain,
! [X0: $i] :
( cyclic(sK1,sK2,sK1,sK4)
| ~ cyclic(X0,sK1,sK2,sK4)
| ~ cyclic(X0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_20886]) ).
tcf(c_26830,plain,
( cyclic(sK1,sK2,sK1,sK4)
| ~ cyclic(sK0,sK1,sK2,sK4)
| ~ cyclic(sK0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_26829]) ).
tcf(c_27044,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK2,sK4)
| ~ cyclic(sK1,X0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_21778]) ).
tcf(c_27047,plain,
( cyclic(sK1,sK0,sK2,sK4)
| ~ cyclic(sK1,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_27044]) ).
tcf(c_27938,plain,
! [X0: $i] :
( midp(X0,sK1,sK2)
| ~ coll(X0,sK1,sK2)
| ~ cong(X0,sK1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_21328]) ).
tcf(c_27940,plain,
( midp(sK0,sK1,sK2)
| ~ coll(sK0,sK1,sK2)
| ~ cong(sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_27938]) ).
tcf(c_28741,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,X0,sK4)
| ~ eqangle(X0,sK4,X0,X1,X0,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_26253]) ).
tcf(c_28742,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK4,X1,X0,X1,sK4,X1,X0)
| ~ cyclic(sK4,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_28743,plain,
( para(sK0,sK4,sK0,sK4)
| ~ eqangle(sK0,sK4,sK0,sK0,sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_28741]) ).
tcf(c_28744,plain,
( eqangle(sK0,sK4,sK0,sK0,sK0,sK4,sK0,sK0)
| ~ cyclic(sK4,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_28742]) ).
tcf(c_30307,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,sK1)
| ~ para(X0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_30308,plain,
( para(sK0,sK0,sK0,sK1)
| ~ para(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_30307]) ).
tcf(c_31552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X4,sK4,X2,X3,X4,sK4)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_31553,plain,
( eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_31552]) ).
tcf(c_31889,plain,
! [X0: $i,X1: $i] :
( midp(sK3,sK0,sK1)
| ~ midp(sK3,X0,X1)
| ~ para(X0,sK0,X1,sK1)
| ~ para(X0,sK1,X1,sK0) ),
inference(instantiation,[status(thm)],[c_21544]) ).
tcf(c_31890,plain,
( midp(sK3,sK0,sK1)
| ~ midp(sK3,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK1)
| ~ para(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_31889]) ).
tcf(c_32542,plain,
! [X0: $i] :
( cyclic(X0,sK1,sK2,sK1)
| ~ cyclic(X0,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_22198]) ).
tcf(c_32543,plain,
( cyclic(sK0,sK1,sK2,sK1)
| ~ cyclic(sK0,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_32542]) ).
tcf(c_35691,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,sK1,X2,X1,X2,sK4)
| ~ eqangle(X0,sK1,X0,X1,X2,sK4,X2,X1) ),
inference(instantiation,[status(thm)],[c_22525]) ).
tcf(c_35692,plain,
( eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK4)
| ~ eqangle(sK0,sK1,sK0,sK0,sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35691]) ).
tcf(c_36016,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK4,X1,X2,X1)
| ~ cyclic(X0,sK4,X1,X2)
| ~ cyclic(X0,sK4,X1,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_36017,plain,
( cyclic(sK4,sK0,sK0,sK0)
| ~ cyclic(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36016]) ).
tcf(c_40591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK3,X3,X2)
| ~ coll(sK3,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_40592,plain,
( midp(sK3,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_40591]) ).
tcf(c_42765,plain,
( cyclic(sK1,sK1,sK4,sK2)
| ~ cyclic(sK1,sK1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_23354]) ).
tcf(c_48875,plain,
( cyclic(sK1,sK4,sK5,sK2)
| ~ cyclic(sK1,sK1,sK4,sK2)
| ~ cyclic(sK1,sK1,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_20597]) ).
tcf(c_49744,plain,
( cyclic(sK1,sK1,sK4,sK5)
| ~ coll(sK4,sK5,sK1)
| ~ eqangle(sK4,sK1,sK4,sK1,sK5,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_20634]) ).
tcf(c_49758,plain,
~ midp(sK0,sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_16874,c_55,c_53,c_52,c_50,c_49,c_152,c_153,c_157,c_195,c_1921,c_1924,c_1925,c_1926,c_1927,c_1930,c_2093,c_2173,c_2174,c_2201,c_2219,c_2308,c_2310,c_2385,c_2557,c_2647,c_2846,c_2897,c_2921,c_2930,c_3068,c_3070,c_3071,c_3466,c_3530,c_4022,c_4150,c_4476,c_4712,c_4818,c_5279,c_5371,c_5447,c_6526,c_6881,c_7556,c_8028,c_8030,c_8057,c_9542,c_9936,c_11440,c_13456,c_15988,c_15989,c_16337,c_16498,c_16500,c_16905,c_17225,c_20651,c_20972,c_20987,c_20992,c_21329,c_21591,c_21612,c_21613,c_21779,c_21919,c_22023,c_23060,c_23353,c_23793,c_24071,c_24202,c_25276,c_25415,c_25610,c_25673,c_25978,c_26830,c_27047,c_28743,c_28744,c_30308,c_31553,c_31890,c_32543,c_35692,c_36017,c_40592,c_42765,c_48875,c_49744]) ).
tcf(c_54016,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK2)
| ~ cong(X0,sK1,sK2,X0) ),
inference(instantiation,[status(thm)],[c_20974]) ).
tcf(c_54017,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ cong(sK0,sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_54016]) ).
tcf(c_54429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK2,sK2,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK2,sK2,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_54430,plain,
( perp(sK0,sK2,sK2,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK2,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_54429]) ).
tcf(c_69462,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,sK1,sK2,X2)
| ~ cong(X2,sK1,X0,X1)
| ~ cong(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_20973]) ).
tcf(c_69463,plain,
( cong(sK0,sK1,sK2,sK0)
| ~ cong(sK0,sK0,sK2,sK0)
| ~ cong(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_69462]) ).
tcf(c_74096,plain,
! [X0: $i,X1: $i] :
( cong(sK0,X1,sK2,X1)
| ~ midp(X1,sK0,X0)
| ~ perp(sK0,sK2,sK2,X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_74097,plain,
( cong(sK0,sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK0,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_74096]) ).
tcf(c_74098,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_74097,c_69463,c_54430,c_54017,c_49758,c_27940,c_25415,c_21919,c_20987,c_20972,c_16500,c_11456,c_11440,c_8057,c_7638,c_7556,c_6881,c_6526,c_6431,c_4694,c_4297,c_4150,c_3466,c_3077,c_3071,c_3070,c_2921,c_2557,c_2201,c_2200,c_2174,c_2173,c_1931,c_1930,c_1928,c_1927,c_1925,c_1924,c_195,c_157,c_153,c_152,c_52,c_54,c_53,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO567+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/15.46 % Computer : n003.cluster.edu
% 0.17/15.46 % Model : x86_64 x86_64
% 0.17/15.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/15.46 % Memory : 8046.5625MB
% 0.17/15.46 % OS : Linux 6.8.0-71-generic
% 0.17/15.46 % CPULimit : 300
% 0.17/15.46 % WCLimit : 300
% 0.17/15.46 % DateTime : Wed Sep 23 12:27:21 UTC 2026
% 0.17/15.46 % CPUTime :
% 0.17/15.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/15.53 Running first-order theorem proving
% 0.23/15.53 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/15.54
% 0.23/15.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/15.54
% 0.23/15.55 % Detected problem language: tptp
% 0.23/15.56 % Proving...
% 23.63/20.57 % SZS status Started for theBenchmark.p
% 23.63/20.57 % SZS status Theorem for theBenchmark.p
% 23.63/20.57
% 23.63/20.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 23.63/20.57
% 23.63/20.57 % ------ iProver source info
% 23.63/20.57
% 23.63/20.57 % git: date: 2026-07-19 20:42:38 +0200
% 23.63/20.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 23.63/20.57 % git: non_committed_changes: false
% 23.63/20.57
% 23.63/20.57 % ------ Parsing...
% 23.63/20.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 23.63/20.57
% 23.63/20.57 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 23.63/20.57
% 23.63/20.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.63/20.57 % ------ Proving...
% 23.63/20.57 % ------ Problem Properties
% 23.63/20.57
% 23.63/20.57 %
% 23.63/20.57 % clauses 94
% 23.63/20.57 % conjectures 7
% 23.63/20.57 % EPR 61
% 23.63/20.57 % Horn 89
% 23.63/20.57 % unary 7
% 23.63/20.57 % binary 24
% 23.63/20.57 % lits 263
% 23.63/20.57 % lits eq 0
% 23.63/20.57 % fd_pure 0
% 23.63/20.57 % fd_pseudo 0
% 23.63/20.57 % fd_cond 0
% 23.63/20.57 % fd_pseudo_cond 0
% 23.63/20.57 % AC symbols 0
% 23.63/20.57
% 23.63/20.57 % ------ Schedule dynamic 5 is on
% 23.63/20.57
% 23.63/20.57 % ------ no equalities: superposition off
% 23.63/20.57
% 23.63/20.57 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 23.63/20.57
% 23.63/20.57
% 23.63/20.57 % ------
% 23.63/20.57 % Current options:
% 23.63/20.57 % ------
% 23.63/20.57
% 23.63/20.57
% 23.63/20.57 %
% 23.63/20.57
% 23.63/20.57 % ------ Proving...
% 23.63/20.57 %
% 23.63/20.57
% 23.63/20.57 % SZS status Theorem for theBenchmark.p
% 23.63/20.57
% 23.63/20.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.63/20.58
% 23.63/20.58
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