%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO574+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 01:21:31 PM UTC 2026
% Result : Theorem 40.11s 7.84s
% Output : CNFRefutation 40.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 36
% Syntax : Number of formulae : 419 ( 30 unt; 0 def)
% Number of atoms : 1101 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1269 ( 587 ~; 581 |; 64 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 1102 ( 0 sgn1084 !; 18 ?; 434 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(f52,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X7,X0,X6,X1)
& coll(X6,X1,X5)
& coll(X6,X2,X4)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X7,X0,X6,X1)
& coll(X6,X1,X5)
& coll(X6,X2,X4)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( circle(X7,X0,X6,X1)
& coll(X6,X1,X5)
& coll(X6,X2,X4)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( circle(X7,X0,X6,X1)
& coll(X6,X1,X5)
& coll(X6,X2,X4)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
inference(flattening,[],[f98]) ).
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(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(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
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(f158,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(flattening,[],[f161]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f167]) ).
fof(f169,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(f170,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f171]) ).
fof(f174,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(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f176]) ).
fof(f178,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(f179,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f180,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(f184,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(f185,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,[],[f184]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f195,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(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f195]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f206,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(f207,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,[],[f206]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f218,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(f219,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,[],[f218]) ).
fof(f220,plain,
( circle(sK7,sK0,sK6,sK1)
& coll(sK6,sK1,sK5)
& coll(sK6,sK2,sK4)
& coll(sK5,sK0,sK2)
& perp(sK5,sK1,sK0,sK2)
& coll(sK4,sK0,sK1)
& perp(sK4,sK2,sK0,sK1)
& circle(sK3,sK0,sK1,sK2)
& ~ eqangle(sK7,sK0,sK0,sK1,sK1,sK0,sK0,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f99]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK23(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X4,sK23(X0,X1,X2,X3))],[f158]) ).
fof(f239,plain,
circle(sK7,sK0,sK6,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK6,sK1,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK6,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
perp(sK5,sK1,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
perp(sK4,sK2,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ eqangle(sK7,sK0,sK0,sK1,sK1,sK0,sK0,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f273,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(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f284,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(f285,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f288,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(f289,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK23(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f166]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f304,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f177]) ).
fof(f305,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,[],[f178]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f307,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,[],[f180]) ).
fof(f312,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,[],[f185]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f319,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,[],[f196]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f327,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,[],[f207]) ).
fof(f328,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,[],[f209]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f335,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,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK7,sK0,sK0,sK1,sK1,sK0,sK0,sK3),
inference(cnf_transformation,[],[f247]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_51,negated_conjecture,
perp(sK4,sK2,sK0,sK1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f244]) ).
tcf(c_53,negated_conjecture,
perp(sK5,sK1,sK0,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_54,negated_conjecture,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK2,sK4),
inference(cnf_transformation,[],[f241]) ).
tcf(c_56,negated_conjecture,
coll(sK6,sK1,sK5),
inference(cnf_transformation,[],[f240]) ).
tcf(c_57,negated_conjecture,
circle(sK7,sK0,sK6,sK1),
inference(cnf_transformation,[],[f239]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_83,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,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X2)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_140,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,[],[f330]) ).
tcf(c_145,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,[],[f335]) ).
tcf(c_152,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_155,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_159,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_197,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_137]) ).
tcf(c_803,plain,
perp(sK23(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_103]) ).
tcf(c_818,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_50,c_107]) ).
tcf(c_819,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_849,plain,
perp(sK23(sK0,sK6,sK1,sK7),sK0,sK0,sK7),
inference(resolution,[status(thm)],[c_57,c_103]) ).
tcf(c_864,plain,
! [X0: $i] :
( perp(sK7,sK0,sK0,X0)
| ~ eqangle(sK0,X0,sK0,sK6,sK1,sK0,sK1,sK6) ),
inference(resolution,[status(thm)],[c_57,c_107]) ).
tcf(c_865,plain,
( perp(sK7,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK6,sK1,sK0,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_2154,plain,
( coll(sK0,sK4,sK1)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2155,plain,
( coll(sK0,sK5,sK2)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2157,plain,
( coll(sK1,sK6,sK5)
| ~ coll(sK6,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2158,plain,
( coll(sK4,sK1,sK0)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2159,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2162,plain,
( perp(sK0,sK1,sK4,sK2)
| ~ perp(sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2164,plain,
( perp(sK4,sK2,sK1,sK0)
| ~ perp(sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2168,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK0,sK2)
| ~ coll(sK5,sK0,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2170,plain,
! [X0: $i] :
( coll(sK4,X0,sK6)
| ~ coll(sK6,sK2,sK4)
| ~ coll(sK6,sK2,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2171,plain,
( coll(sK4,sK0,sK6)
| ~ coll(sK6,sK2,sK4)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2170]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( para(sK4,sK2,X0,X1)
| ~ perp(sK4,sK2,sK0,sK1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK1,X0,X1)
| ~ perp(sK5,sK1,sK0,sK2)
| ~ perp(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2195,plain,
( para(sK5,sK1,sK0,sK0)
| ~ perp(sK5,sK1,sK0,sK2)
| ~ perp(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2194]) ).
tcf(c_2314,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK4,sK1)
| ~ coll(sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2317,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK4,sK1)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2314]) ).
tcf(c_2341,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK5,sK2)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2395,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK6,sK5)
| ~ coll(sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2398,plain,
( coll(sK5,sK0,sK1)
| ~ coll(sK1,sK6,sK5)
| ~ coll(sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2395]) ).
tcf(c_2422,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,sK0)
| ~ coll(sK4,sK1,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2424,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2425,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2422]) ).
tcf(c_2451,plain,
( coll(sK2,sK5,sK0)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK4,sK2)
| ~ perp(sK4,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2523,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK4,sK2)
| ~ perp(sK0,sK1,sK4,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2526,plain,
( perp(sK0,sK0,sK4,sK2)
| ~ para(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2523]) ).
tcf(c_2598,plain,
( perp(sK23(sK0,sK1,sK2,sK3),sK0,sK3,sK0)
| ~ perp(sK23(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2599,plain,
( perp(sK0,sK3,sK23(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK23(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2628,plain,
( perp(sK23(sK0,sK6,sK1,sK7),sK0,sK7,sK0)
| ~ perp(sK23(sK0,sK6,sK1,sK7),sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2629,plain,
( perp(sK0,sK7,sK23(sK0,sK6,sK1,sK7),sK0)
| ~ perp(sK23(sK0,sK6,sK1,sK7),sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2644,plain,
( para(sK4,sK2,sK4,sK2)
| ~ perp(sK4,sK2,sK0,sK1)
| ~ perp(sK0,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2192]) ).
tcf(c_2885,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_52,c_86]) ).
tcf(c_2887,plain,
coll(sK6,sK4,sK2),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_3125,plain,
perp(sK0,sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_51,c_99]) ).
tcf(c_3126,plain,
perp(sK0,sK2,sK5,sK1),
inference(superposition,[status(thm)],[c_53,c_99]) ).
tcf(c_3448,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3451,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_3448]) ).
tcf(c_3523,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK5,sK0)
| ~ coll(sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3526,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3523]) ).
tcf(c_3586,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_2885,c_84]) ).
tcf(c_3588,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK4,X0) ),
inference(superposition,[status(thm)],[c_2887,c_84]) ).
tcf(c_3863,plain,
( coll(sK2,sK2,sK0)
| ~ coll(sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2341]) ).
tcf(c_3886,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK3,sK23(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK23(sK0,sK1,sK2,sK3),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_3949,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK7,X0,X1)
| ~ perp(sK0,sK7,sK23(sK0,sK6,sK1,sK7),sK0)
| ~ perp(sK23(sK0,sK6,sK1,sK7),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_3973,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK2,X0,X1,sK4,sK2,X0,X1)
| ~ para(sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_3974,plain,
( eqangle(sK4,sK2,sK0,sK0,sK4,sK2,sK0,sK0)
| ~ para(sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_3973]) ).
tcf(c_3976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK4,sK2,sK4,sK2)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_3977,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK4,sK2,sK4,sK2)
| ~ eqangle(sK0,sK0,sK0,sK0,sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_3976]) ).
tcf(c_4026,plain,
! [X0: $i] :
( coll(sK0,sK4,X0)
| ~ coll(sK0,X0,sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4028,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_4026]) ).
tcf(c_4190,plain,
( para(sK0,sK1,sK1,sK0)
| ~ perp(sK4,sK2,sK1,sK0)
| ~ perp(sK0,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_4629,plain,
coll(sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_2885,c_3586]) ).
tcf(c_4648,plain,
coll(sK0,sK4,sK0),
inference(superposition,[status(thm)],[c_4629,c_86]) ).
tcf(c_4687,plain,
( coll(sK1,sK6,sK0)
| ~ coll(sK0,sK4,sK6)
| ~ coll(sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2314]) ).
tcf(c_4922,plain,
! [X0: $i] :
( coll(sK6,sK2,X0)
| ~ coll(sK6,X0,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4923,plain,
( coll(sK6,sK2,sK0)
| ~ coll(sK6,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_4922]) ).
tcf(c_4944,plain,
! [X0: $i] :
( coll(X0,sK5,sK1)
| ~ coll(X0,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_5009,plain,
coll(sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_2887,c_3588]) ).
tcf(c_5018,plain,
( coll(sK2,sK1,sK5)
| ~ coll(sK5,sK0,sK2)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2168]) ).
tcf(c_5039,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_5009,c_84]) ).
tcf(c_5044,plain,
( coll(sK6,sK0,sK2)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_5039]) ).
tcf(c_5084,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,X0,X1,sK1,sK0,X0,X1)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_5085,plain,
( eqangle(sK0,sK1,sK0,sK0,sK1,sK0,sK0,sK0)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_5084]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK2,X0)
| ~ coll(X0,X1,sK2)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_5426,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_5696,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_5697,plain,
( perp(sK0,sK6,sK6,sK1)
| ~ coll(sK7,sK0,sK1) ),
inference(superposition,[status(thm)],[c_57,c_104]) ).
tcf(c_5913,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_4648,c_84]) ).
tcf(c_5919,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_5913]) ).
tcf(c_6232,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5696,c_96]) ).
tcf(c_6233,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5696,c_95]) ).
tcf(c_6269,plain,
! [X0: $i] :
( cong(sK0,X0,sK6,X0)
| ~ coll(sK7,sK0,sK1)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_5697,c_96]) ).
tcf(c_6666,plain,
! [X0: $i] :
( coll(X0,sK4,sK6)
| ~ coll(sK4,X0,sK6) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6667,plain,
( coll(sK0,sK4,sK6)
| ~ coll(sK4,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_6666]) ).
tcf(c_6926,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK4,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_3125,c_98]) ).
tcf(c_6927,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK5,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_3126,c_98]) ).
tcf(c_9476,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_9480,plain,
( coll(sK7,sK0,sK1)
| ~ coll(sK7,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_9677,plain,
( coll(sK0,sK1,sK2)
| ~ coll(sK2,sK5,sK1)
| ~ coll(sK2,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3523]) ).
tcf(c_11377,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK1,sK2)
| ~ coll(sK2,X0,sK1)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_5426]) ).
tcf(c_11425,plain,
! [X0: $i,X1: $i] :
( coll(sK3,sK2,X0)
| ~ coll(X0,X1,sK2)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_5425]) ).
tcf(c_11427,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_11425]) ).
tcf(c_11688,plain,
! [X0: $i,X1: $i] :
( coll(sK7,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_5426]) ).
tcf(c_11690,plain,
( coll(sK7,sK1,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ coll(sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_11688]) ).
tcf(c_13329,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_6926]) ).
tcf(c_13579,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_53,c_6927]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_138]) ).
tcf(c_14269,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14257]) ).
tcf(c_15175,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK4,sK2,X0,X1,sK4,sK2)
| ~ eqangle(sK4,sK2,X0,X1,sK4,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_15179,plain,
( eqangle(sK0,sK0,sK4,sK2,sK0,sK0,sK4,sK2)
| ~ eqangle(sK4,sK2,sK0,sK0,sK4,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_15175]) ).
tcf(c_15528,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK1)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_6232,c_131]) ).
tcf(c_15545,plain,
( cong(sK0,sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_15528]) ).
tcf(c_15719,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK0,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ cong(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_6233,c_129]) ).
tcf(c_15744,plain,
( cong(sK0,sK0,sK0,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_15719]) ).
tcf(c_15812,plain,
( coll(sK2,sK5,sK1)
| ~ coll(sK2,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_4944]) ).
tcf(c_16233,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(X0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_16234,plain,
( coll(sK1,sK0,sK2)
| ~ coll(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_16233]) ).
tcf(c_16802,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK6)
| ~ coll(sK7,sK0,sK1)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_6269,c_131]) ).
tcf(c_16819,plain,
( cong(sK0,sK0,sK0,sK6)
| ~ midp(sK0,sK0,sK1)
| ~ coll(sK7,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_16802]) ).
tcf(c_17603,plain,
! [X0: $i] :
( coll(sK1,sK1,sK2)
| ~ coll(sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_11377]) ).
tcf(c_17604,plain,
( coll(sK1,sK1,sK2)
| ~ coll(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_17603]) ).
tcf(c_18558,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_108]) ).
tcf(c_20288,plain,
! [X0: $i] :
( eqangle(sK2,sK0,sK2,sK1,sK0,X0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_18558,c_116]) ).
tcf(c_20595,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK3)
| ~ coll(sK3,X0,X2)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_20596,plain,
( coll(sK0,sK0,sK3)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_20595]) ).
tcf(c_21068,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK7)
| ~ coll(sK7,X0,X2)
| ~ coll(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_21069,plain,
( coll(sK0,sK0,sK7)
| ~ coll(sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21068]) ).
tcf(c_21946,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_13329,c_122]) ).
tcf(c_21947,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_13579,c_122]) ).
tcf(c_21966,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21947,c_13579]) ).
tcf(c_21969,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21946,c_13329]) ).
tcf(c_22036,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21969]) ).
tcf(c_22037,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21966]) ).
tcf(c_23475,plain,
! [X0: $i,X1: $i] :
( coll(sK2,X1,sK1)
| ~ coll(sK1,X0,sK2)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_23476,plain,
( coll(sK2,sK0,sK1)
| ~ coll(sK1,sK0,sK2)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_23475]) ).
tcf(c_30462,plain,
( para(sK0,sK3,sK3,sK0)
| ~ perp(sK0,sK3,sK23(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK23(sK0,sK1,sK2,sK3),sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_3886]) ).
tcf(c_30935,plain,
( para(sK0,sK7,sK7,sK0)
| ~ perp(sK0,sK7,sK23(sK0,sK6,sK1,sK7),sK0)
| ~ perp(sK23(sK0,sK6,sK1,sK7),sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_3949]) ).
tcf(c_31118,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK1)
| ~ perp(sK4,sK2,sK0,sK1)
| ~ para(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_31119,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK2)
| ~ perp(sK5,sK1,sK0,sK2)
| ~ para(X0,X1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_31144,plain,
! [X0: $i] :
( midp(X0,sK1,sK2)
| ~ coll(X0,sK1,sK2)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31152,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK4,sK2)
| ~ perp(sK4,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_31483,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_31486,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_31483]) ).
tcf(c_31507,plain,
! [X0: $i,X1: $i] :
( coll(sK7,X0,X1)
| ~ para(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_31510,plain,
( coll(sK7,sK0,sK0)
| ~ para(sK7,sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_31507]) ).
tcf(c_32638,plain,
( para(sK3,sK0,sK0,sK3)
| ~ para(sK0,sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_32651,plain,
( para(sK7,sK0,sK0,sK7)
| ~ para(sK0,sK7,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_32726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK0,X4,X5)
| ~ eqangle(sK0,sK1,X4,X5,sK1,sK0,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK0,sK1,X4,X5) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_32735,plain,
( eqangle(sK0,sK0,sK0,sK0,sK1,sK0,sK0,sK0)
| ~ eqangle(sK0,sK1,sK0,sK0,sK1,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_32726]) ).
tcf(c_33213,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK2,X0,X1)
| ~ perp(X0,X1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_33214,plain,
( perp(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_33213]) ).
tcf(c_33337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK5,sK1,X2,X3)
| ~ para(sK5,sK1,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_33338,plain,
( perp(sK5,sK1,sK0,sK0)
| ~ para(sK5,sK1,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33337]) ).
tcf(c_33387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK4,sK2)
| ~ perp(X2,X3,sK4,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_33391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK1)
| ~ perp(X2,X3,sK0,sK1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_33392,plain,
( para(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33391]) ).
tcf(c_33393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK2)
| ~ perp(X2,X3,sK0,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_33394,plain,
( para(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33393]) ).
tcf(c_33464,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK1)
| ~ para(sK5,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_33522,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK3)
| ~ para(X0,X1,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_33523,plain,
( para(sK0,sK0,sK0,sK3)
| ~ para(sK0,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_33522]) ).
tcf(c_33538,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK3,X1)
| ~ para(sK3,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_33539,plain,
( para(sK3,sK0,sK3,sK0)
| ~ para(sK3,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_33538]) ).
tcf(c_33540,plain,
! [X0: $i,X1: $i] :
( para(sK7,X0,sK7,X1)
| ~ para(sK7,X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_33541,plain,
( para(sK7,sK0,sK7,sK0)
| ~ para(sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_33540]) ).
tcf(c_33785,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ para(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_33787,plain,
( eqangle(sK0,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ para(sK0,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_33785]) ).
tcf(c_34216,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ cyclic(sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_34314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK3,sK0)
| ~ perp(X2,X3,sK3,sK0)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_34315,plain,
( para(sK0,sK0,sK3,sK0)
| ~ perp(sK0,sK0,sK3,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_34314]) ).
tcf(c_34576,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,X0)
| ~ eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_34632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK4,sK2)
| ~ eqangle(X0,X1,sK4,sK2,X2,X3,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_34633,plain,
( eqangle(sK0,sK0,sK0,sK0,sK4,sK2,sK4,sK2)
| ~ eqangle(sK0,sK0,sK4,sK2,sK0,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_34632]) ).
tcf(c_35258,plain,
! [X0: $i] :
( perp(sK0,X0,sK3,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_35259,plain,
( perp(sK0,sK0,sK3,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35258]) ).
tcf(c_35282,plain,
( eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,sK1)
| ~ eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_34576]) ).
tcf(c_35283,plain,
( eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,sK1)
| ~ para(sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_35543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK7,sK0,X2,X3)
| ~ perp(sK7,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_35544,plain,
( para(sK7,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK7,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35543]) ).
tcf(c_35906,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK4,sK2)
| ~ perp(sK0,sK1,sK4,sK2)
| ~ perp(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_33387]) ).
tcf(c_35907,plain,
( para(sK0,sK0,sK4,sK2)
| ~ perp(sK0,sK1,sK4,sK2)
| ~ perp(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_35906]) ).
tcf(c_36691,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_36692,plain,
( perp(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK1,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36691]) ).
tcf(c_36693,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK2)
| ~ cong(X0,sK2,X1,sK2)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_36694,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK2,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36693]) ).
tcf(c_37455,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK0,sK2)
| ~ coll(X1,sK0,sK2)
| ~ midp(X0,sK0,X2)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_37456,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ para(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_37455]) ).
tcf(c_37457,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK0,sK1)
| ~ coll(X1,sK0,sK1)
| ~ midp(X0,sK0,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_37458,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_37457]) ).
tcf(c_38660,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,X1,sK0,sK6,sK1,sK0,sK1,sK6)
| ~ circle(X0,sK0,sK6,sK1)
| ~ perp(X0,sK0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_38661,plain,
( eqangle(sK0,sK0,sK0,sK6,sK1,sK0,sK1,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ circle(sK0,sK0,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_38660]) ).
tcf(c_39515,plain,
! [X0: $i] :
( circle(X0,sK0,sK6,sK1)
| ~ cong(X0,sK0,X0,sK6)
| ~ cong(X0,sK0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_39516,plain,
( circle(sK0,sK0,sK6,sK1)
| ~ cong(sK0,sK0,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_39515]) ).
tcf(c_39647,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK7,sK0,sK0,X2,X0,X1,sK0,X2)
| ~ para(sK7,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_40228,plain,
! [X0: $i] :
( cyclic(sK0,sK1,sK0,sK2)
| ~ cong(X0,sK0,X0,sK2)
| ~ cong(X0,sK0,X0,sK1)
| ~ cong(X0,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_40229,plain,
( cyclic(sK0,sK1,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_40228]) ).
tcf(c_41233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK0,sK0,sK1,sK1,sK0,sK0,sK3)
| ~ eqangle(sK7,sK0,sK0,sK1,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_41245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK0,sK1)
| ~ eqangle(X4,X5,X6,X7,sK4,sK2,sK0,sK1)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_42268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK3)
| ~ eqangle(X4,X5,X6,X7,sK1,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_42271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK3)
| ~ eqangle(sK1,sK0,sK0,sK3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_42273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK1,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,sK0,sK3,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_42503,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK1,sK0,sK0,sK3,sK1,sK0)
| ~ para(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_42505,plain,
( eqangle(sK0,sK0,sK1,sK0,sK0,sK3,sK1,sK0)
| ~ para(sK0,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_42503]) ).
tcf(c_42880,plain,
( cong(sK0,sK1,sK0,sK1)
| ~ midp(sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_42897,plain,
( cong(sK0,sK2,sK0,sK2)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_44751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK0,X4,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_20288,c_114]) ).
tcf(c_44809,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44751]) ).
tcf(c_46336,plain,
( perp(sK3,sK0,sK0,sK1)
| ~ para(sK3,sK0,sK4,sK2)
| ~ perp(sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_31118]) ).
tcf(c_47611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_112,c_115]) ).
tcf(c_49579,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_108]) ).
tcf(c_49763,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,X0,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_49579,c_117]) ).
tcf(c_51862,plain,
( para(sK0,sK1,sK0,sK2)
| ~ perp(sK4,sK2,sK0,sK2)
| ~ perp(sK0,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_31152]) ).
tcf(c_53378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK0,sK1)
| ~ eqangle(X4,X5,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_41245]) ).
tcf(c_53379,plain,
( eqangle(sK0,sK0,sK0,sK0,sK4,sK2,sK0,sK1)
| ~ eqangle(sK0,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_53378]) ).
tcf(c_53769,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,sK4,sK2)
| ~ perp(sK3,sK0,X0,X1)
| ~ perp(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_33387]) ).
tcf(c_53770,plain,
( para(sK3,sK0,sK4,sK2)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_53769]) ).
tcf(c_53784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK0,X4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_49579,c_114]) ).
tcf(c_53931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK1,sK0,sK0,sK3,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_53932,plain,
( eqangle(sK1,sK0,sK0,sK3,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK1,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_53931]) ).
tcf(c_55023,plain,
( perp(sK4,sK2,sK0,sK2)
| ~ para(sK4,sK2,sK5,sK1)
| ~ perp(sK5,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_31119]) ).
tcf(c_55686,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK1,sK4,sK2)
| ~ perp(sK5,sK1,X0,X1)
| ~ perp(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_33387]) ).
tcf(c_55692,plain,
( para(sK5,sK1,sK4,sK2)
| ~ perp(sK5,sK1,sK0,sK0)
| ~ perp(sK0,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_55686]) ).
tcf(c_55963,plain,
( para(sK4,sK2,sK5,sK1)
| ~ para(sK5,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_33464]) ).
tcf(c_57642,plain,
( midp(sK1,sK1,sK2)
| ~ coll(sK1,sK1,sK2)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_31144]) ).
tcf(c_58078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,sK1)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_47611,c_53784]) ).
tcf(c_58099,plain,
( eqangle(sK0,sK0,sK0,sK0,sK2,sK0,sK2,sK1)
| ~ para(sK0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58078]) ).
tcf(c_59825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK0,sK1,sK0,X4) ),
inference(superposition,[status(thm)],[c_49763,c_114]) ).
tcf(c_59830,plain,
! [X0: $i] :
( eqangle(sK2,sK1,sK2,sK0,sK0,sK1,sK0,X0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_49763,c_116]) ).
tcf(c_61884,plain,
( eqangle(sK4,sK2,sK0,sK1,sK1,sK0,sK0,sK3)
| ~ eqangle(sK1,sK0,sK0,sK3,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_42271]) ).
tcf(c_63761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK1,sK0,sK0,sK3,sK4,sK2,sK0,sK1)
| ~ eqangle(sK1,sK0,sK0,sK3,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_41245]) ).
tcf(c_63764,plain,
( eqangle(sK1,sK0,sK0,sK3,sK4,sK2,sK0,sK1)
| ~ eqangle(sK1,sK0,sK0,sK3,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_63761]) ).
tcf(c_63781,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK0,X0,X1,sK1,sK0,sK0,sK3)
| ~ eqangle(X0,X1,sK1,sK0,sK0,sK3,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_42273]) ).
tcf(c_63783,plain,
( eqangle(sK1,sK0,sK0,sK0,sK1,sK0,sK0,sK3)
| ~ eqangle(sK0,sK0,sK1,sK0,sK0,sK3,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_63781]) ).
tcf(c_75557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,sK1)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_47611,c_59825]) ).
tcf(c_75585,plain,
( eqangle(sK0,sK0,sK0,sK0,sK2,sK1,sK2,sK0)
| ~ para(sK0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_75557]) ).
tcf(c_80693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK3)
| ~ eqangle(sK1,X4,sK0,X4,sK1,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,sK1,X4,sK0,X4) ),
inference(instantiation,[status(thm)],[c_42268]) ).
tcf(c_80694,plain,
( eqangle(sK0,sK0,sK0,sK0,sK1,sK0,sK0,sK3)
| ~ eqangle(sK1,sK0,sK0,sK0,sK1,sK0,sK0,sK3)
| ~ eqangle(sK0,sK0,sK0,sK0,sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80693]) ).
tcf(c_82184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK1,sK0,X4)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_59830,c_114]) ).
tcf(c_82236,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK1,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK2,sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_82184]) ).
tcf(c_84949,plain,
( eqangle(sK7,sK0,sK0,sK1,sK1,sK0,sK0,sK3)
| ~ eqangle(sK4,sK2,sK0,sK1,sK1,sK0,sK0,sK3)
| ~ eqangle(sK7,sK0,sK0,sK1,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_41233]) ).
tcf(c_84950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(sK7,sK0,sK0,sK1,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_41245]) ).
tcf(c_84978,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK0,sK0,sK1,X0,X1,sK0,sK1)
| ~ para(sK7,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_39647]) ).
tcf(c_84980,plain,
( eqangle(sK7,sK0,sK0,sK1,sK0,sK0,sK0,sK1)
| ~ para(sK7,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_84978]) ).
tcf(c_87609,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(sK7,sK0,sK0,sK1,X0,X1,sK0,sK1)
| ~ eqangle(X0,X1,sK0,sK1,sK4,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_84950]) ).
tcf(c_87610,plain,
( eqangle(sK7,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(sK0,sK0,sK0,sK1,sK4,sK2,sK0,sK1)
| ~ eqangle(sK7,sK0,sK0,sK1,sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_87609]) ).
tcf(c_87611,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87610,c_84980,c_84949,c_82236,c_80694,c_75585,c_63783,c_63764,c_61884,c_58099,c_57642,c_55963,c_55692,c_55023,c_53932,c_53770,c_53379,c_51862,c_46336,c_44809,c_42897,c_42880,c_42505,c_40229,c_39516,c_38661,c_37458,c_37456,c_36694,c_36692,c_35907,c_35544,c_35283,c_35282,c_35259,c_34633,c_34315,c_34216,c_33787,c_33541,c_33539,c_33523,c_33394,c_33392,c_33338,c_33214,c_32735,c_32651,c_32638,c_31510,c_31486,c_30935,c_30462,c_23476,c_22037,c_22036,c_21069,c_20596,c_17604,c_16819,c_16234,c_15812,c_15744,c_15545,c_15179,c_14269,c_11690,c_11427,c_9677,c_9480,c_9476,c_6667,c_5919,c_5085,c_5044,c_5018,c_4923,c_4687,c_4190,c_4028,c_3977,c_3974,c_3863,c_3526,c_3451,c_2644,c_2628,c_2629,c_2598,c_2599,c_2526,c_2451,c_2425,c_2424,c_2398,c_2317,c_2195,c_2171,c_2164,c_2162,c_2159,c_2158,c_2157,c_2155,c_2154,c_865,c_849,c_819,c_803,c_197,c_159,c_155,c_152,c_49,c_50,c_51,c_53,c_52,c_54,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO574+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:26:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 40.11/7.84 % SZS status Started for theBenchmark.p
% 40.11/7.84 % SZS status Theorem for theBenchmark.p
% 40.11/7.84
% 40.11/7.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.11/7.84
% 40.11/7.84 % ------ iProver source info
% 40.11/7.84
% 40.11/7.84 % git: date: 2026-07-19 20:42:38 +0200
% 40.11/7.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.11/7.84 % git: non_committed_changes: false
% 40.11/7.84
% 40.11/7.84 % ------ Parsing...
% 40.11/7.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.11/7.84
% 40.11/7.84 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 40.11/7.84
% 40.11/7.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 40.11/7.84 % ------ Proving...
% 40.11/7.84 % ------ Problem Properties
% 40.11/7.84
% 40.11/7.84 %
% 40.11/7.84 % clauses 96
% 40.11/7.84 % conjectures 9
% 40.11/7.84 % EPR 63
% 40.11/7.84 % Horn 91
% 40.11/7.84 % unary 9
% 40.11/7.84 % binary 24
% 40.11/7.84 % lits 265
% 40.11/7.84 % lits eq 0
% 40.11/7.84 % fd_pure 0
% 40.11/7.84 % fd_pseudo 0
% 40.11/7.84 % fd_cond 0
% 40.11/7.84 % fd_pseudo_cond 0
% 40.11/7.84 % AC symbols 0
% 40.11/7.84
% 40.11/7.84 % ------ Schedule dynamic 5 is on
% 40.11/7.84
% 40.11/7.84 % ------ no equalities: superposition off
% 40.11/7.84
% 40.11/7.84 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 40.11/7.84
% 40.11/7.84
% 40.11/7.84 % ------
% 40.11/7.84 % Current options:
% 40.11/7.84 % ------
% 40.11/7.84
% 40.11/7.84
% 40.11/7.84 %
% 40.11/7.84
% 40.11/7.84 % ------ Proving...
% 40.11/7.84 %
% 40.11/7.84
% 40.11/7.84 % SZS status Theorem for theBenchmark.p
% 40.11/7.84
% 40.11/7.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.11/7.85
% 40.11/7.85
%------------------------------------------------------------------------------