%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO548+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 : n019.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 01:21:26 PM UTC 2026
% Result : Theorem 66.92s 21.98s
% Output : CNFRefutation 66.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 594 ( 73 unt; 0 def)
% Number of atoms : 1474 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1625 ( 745 ~; 743 |; 92 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 14 ( 14 usr; 13 con; 0-4 aty)
% Number of variables : 1389 ( 0 sgn1361 !; 28 ?; 570 :)
% 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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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/sandbox/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/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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/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(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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,X8,X9,X10,X11,X12] :
( ( coll(X10,X5,X6)
& coll(X10,X8,X9)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012008) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( coll(X10,X5,X6)
& coll(X10,X8,X9)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( coll(X10,X5,X6)
& coll(X10,X8,X9)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( coll(X10,X5,X6)
& coll(X10,X8,X9)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
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(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(f163,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f163]) ).
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(f175,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(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(f181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
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(f188,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f190]) ).
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(f199,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f202]) ).
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(f210,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
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(f213,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(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f220,plain,
( coll(sK10,sK5,sK6)
& coll(sK10,sK8,sK9)
& coll(sK9,sK0,sK2)
& perp(sK9,sK7,sK0,sK2)
& coll(sK8,sK0,sK1)
& perp(sK8,sK7,sK0,sK1)
& circle(sK3,sK0,sK7,sK12)
& coll(sK6,sK0,sK2)
& perp(sK6,sK4,sK0,sK2)
& coll(sK5,sK0,sK1)
& perp(sK5,sK4,sK0,sK1)
& circle(sK3,sK0,sK4,sK11)
& circle(sK3,sK0,sK1,sK2)
& ~ eqangle(sK4,sK0,sK0,sK7,sK9,sK10,sK10,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12)],[f99]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK28(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X4,sK28(X0,X1,X2,X3))],[f158]) ).
fof(f239,plain,
coll(sK10,sK5,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK10,sK8,sK9),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK9,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
perp(sK9,sK7,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK8,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
circle(sK3,sK0,sK7,sK12),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
perp(sK6,sK4,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
perp(sK5,sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
circle(sK3,sK0,sK4,sK11),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ eqangle(sK4,sK0,sK0,sK7,sK9,sK10,sK10,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f278,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(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f289,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(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f292,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(f293,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(f294,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK28(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f300,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(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f164]) ).
fof(f302,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(f303,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(f304,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(f305,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(f307,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(f308,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f309,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(f310,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(f311,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(f312,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(f313,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f181]) ).
fof(f317,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(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f191]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f332,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(f333,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(f334,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK4,sK0,sK0,sK7,sK9,sK10,sK10,sK6),
inference(cnf_transformation,[],[f252]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f251]) ).
tcf(c_51,negated_conjecture,
circle(sK3,sK0,sK4,sK11),
inference(cnf_transformation,[],[f250]) ).
tcf(c_52,negated_conjecture,
perp(sK5,sK4,sK0,sK1),
inference(cnf_transformation,[],[f249]) ).
tcf(c_53,negated_conjecture,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f248]) ).
tcf(c_54,negated_conjecture,
perp(sK6,sK4,sK0,sK2),
inference(cnf_transformation,[],[f247]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_56,negated_conjecture,
circle(sK3,sK0,sK7,sK12),
inference(cnf_transformation,[],[f245]) ).
tcf(c_58,negated_conjecture,
coll(sK8,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_59,negated_conjecture,
perp(sK9,sK7,sK0,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_60,negated_conjecture,
coll(sK9,sK0,sK2),
inference(cnf_transformation,[],[f241]) ).
tcf(c_61,negated_conjecture,
coll(sK10,sK8,sK9),
inference(cnf_transformation,[],[f240]) ).
tcf(c_62,negated_conjecture,
coll(sK10,sK5,sK6),
inference(cnf_transformation,[],[f239]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_88,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,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK28(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_127,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,[],[f317]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_145,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,[],[f335]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_160,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_162,plain,
( circle(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_164,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_818,plain,
perp(sK28(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_108]) ).
tcf(c_833,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_50,c_112]) ).
tcf(c_834,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_833]) ).
tcf(c_2293,plain,
( coll(sK0,sK8,sK1)
| ~ coll(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2297,plain,
( coll(sK5,sK1,sK0)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2298,plain,
( coll(sK6,sK2,sK0)
| ~ coll(sK6,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2299,plain,
( coll(sK8,sK1,sK0)
| ~ coll(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2300,plain,
( coll(sK9,sK2,sK0)
| ~ coll(sK9,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2301,plain,
( coll(sK10,sK9,sK8)
| ~ coll(sK10,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2303,plain,
( perp(sK0,sK1,sK5,sK4)
| ~ perp(sK5,sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2304,plain,
( perp(sK0,sK2,sK6,sK4)
| ~ perp(sK6,sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2308,plain,
( perp(sK6,sK4,sK2,sK0)
| ~ perp(sK6,sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2311,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK0,sK1)
| ~ coll(sK5,sK0,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2315,plain,
! [X0: $i] :
( coll(sK1,X0,sK8)
| ~ coll(sK8,sK0,sK1)
| ~ coll(sK8,sK0,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2319,plain,
! [X0: $i] :
( coll(sK9,X0,sK10)
| ~ coll(sK10,sK8,sK9)
| ~ coll(sK10,sK8,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2320,plain,
( coll(sK9,sK0,sK10)
| ~ coll(sK10,sK8,sK9)
| ~ coll(sK10,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_2319]) ).
tcf(c_2594,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK8,sK1)
| ~ coll(sK0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2597,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK8,sK1)
| ~ coll(sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_2594]) ).
tcf(c_2702,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK1,sK0)
| ~ coll(sK5,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2704,plain,
( coll(sK1,sK5,sK0)
| ~ coll(sK5,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2705,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2702]) ).
tcf(c_2729,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK2,sK0)
| ~ coll(sK6,sK2,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2732,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2729]) ).
tcf(c_2756,plain,
! [X0: $i] :
( coll(sK0,X0,sK8)
| ~ coll(sK8,sK1,sK0)
| ~ coll(sK8,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2759,plain,
( coll(sK0,sK0,sK8)
| ~ coll(sK8,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2756]) ).
tcf(c_2785,plain,
( coll(sK2,sK9,sK0)
| ~ coll(sK9,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2856,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK5,sK4)
| ~ perp(sK5,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2937,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK0)
| ~ perp(sK6,sK4,sK2,sK0)
| ~ para(X0,X1,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2940,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ para(sK0,sK0,sK6,sK4)
| ~ perp(sK6,sK4,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2937]) ).
tcf(c_2991,plain,
coll(sK5,sK10,sK6),
inference(superposition,[status(thm)],[c_62,c_90]) ).
tcf(c_3020,plain,
( perp(sK28(sK0,sK1,sK2,sK3),sK0,sK3,sK0)
| ~ perp(sK28(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_3021,plain,
( perp(sK0,sK3,sK28(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK28(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_3051,plain,
coll(sK9,sK2,sK0),
inference(superposition,[status(thm)],[c_60,c_91]) ).
tcf(c_3059,plain,
coll(sK5,sK6,sK10),
inference(superposition,[status(thm)],[c_2991,c_91]) ).
tcf(c_3064,plain,
coll(sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_91]) ).
tcf(c_3136,plain,
( coll(sK1,sK1,sK5)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2311]) ).
tcf(c_3138,plain,
( coll(sK1,sK1,sK8)
| ~ coll(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2315]) ).
tcf(c_3140,plain,
( coll(sK9,sK9,sK10)
| ~ coll(sK10,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_2319]) ).
tcf(c_3157,plain,
coll(sK1,sK5,sK0),
inference(superposition,[status(thm)],[c_3064,c_90]) ).
tcf(c_3226,plain,
perp(sK0,sK1,sK5,sK4),
inference(superposition,[status(thm)],[c_52,c_104]) ).
tcf(c_3227,plain,
perp(sK0,sK2,sK6,sK4),
inference(superposition,[status(thm)],[c_54,c_104]) ).
tcf(c_3234,plain,
perp(sK0,sK1,sK5,sK4),
inference(superposition,[status(thm)],[c_52,c_104]) ).
tcf(c_3279,plain,
coll(sK2,sK9,sK0),
inference(superposition,[status(thm)],[c_3051,c_90]) ).
tcf(c_3328,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK1,sK5)
| ~ coll(sK1,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_3444,plain,
perp(sK0,sK1,sK4,sK5),
inference(superposition,[status(thm)],[c_3234,c_105]) ).
tcf(c_3488,plain,
! [X0: $i] :
( coll(sK10,X0,sK9)
| ~ coll(sK9,sK9,sK10)
| ~ coll(sK9,sK9,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_3867,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_3868,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_89]) ).
tcf(c_3870,plain,
! [X0: $i] :
( coll(sK2,X0,sK9)
| ~ coll(sK9,sK0,X0) ),
inference(superposition,[status(thm)],[c_60,c_89]) ).
tcf(c_3871,plain,
! [X0: $i] :
( coll(sK9,X0,sK10)
| ~ coll(sK10,sK8,X0) ),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_3894,plain,
! [X0: $i] :
( coll(sK10,X0,sK5)
| ~ coll(sK5,sK6,X0) ),
inference(superposition,[status(thm)],[c_3059,c_89]) ).
tcf(c_3898,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK9,X0) ),
inference(superposition,[status(thm)],[c_3279,c_89]) ).
tcf(c_3979,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_3898]) ).
tcf(c_3983,plain,
( coll(sK10,sK0,sK5)
| ~ coll(sK5,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3894]) ).
tcf(c_4005,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_4033,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK5,X0) ),
inference(superposition,[status(thm)],[c_3157,c_89]) ).
tcf(c_4250,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK5,X1)
| ~ coll(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4266,plain,
! [X0: $i] :
( coll(sK5,sK0,X0)
| ~ coll(sK5,X0,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4272,plain,
! [X0: $i] :
( coll(sK10,sK5,X0)
| ~ coll(sK10,X0,sK5) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4273,plain,
( coll(sK10,sK5,sK0)
| ~ coll(sK10,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_4272]) ).
tcf(c_4274,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK8,X1)
| ~ coll(X0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4275,plain,
( coll(sK0,sK8,sK0)
| ~ coll(sK0,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_4274]) ).
tcf(c_4276,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK5,X1)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4280,plain,
! [X0: $i] :
( coll(sK10,sK9,X0)
| ~ coll(sK10,X0,sK9) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i] :
( coll(sK5,X0,X1)
| ~ coll(X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4295,plain,
! [X0: $i,X1: $i] :
( coll(sK5,X1,X0)
| ~ coll(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4331,plain,
! [X0: $i,X1: $i] :
( coll(sK9,X1,X0)
| ~ coll(sK9,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4384,plain,
! [X0: $i,X1: $i] :
( coll(sK10,sK8,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,sK10) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4388,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK5,X2,X0)
| ~ coll(X0,X1,sK5)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4541,plain,
coll(sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_53,c_3867]) ).
tcf(c_4546,plain,
coll(sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_53,c_4005]) ).
tcf(c_4548,plain,
coll(sK1,sK5,sK1),
inference(superposition,[status(thm)],[c_4541,c_91]) ).
tcf(c_4552,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_4546,c_89]) ).
tcf(c_4579,plain,
coll(sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_55,c_3868]) ).
tcf(c_4585,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4579,c_89]) ).
tcf(c_4654,plain,
coll(sK2,sK2,sK9),
inference(superposition,[status(thm)],[c_60,c_3870]) ).
tcf(c_4739,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK5,X0) ),
inference(superposition,[status(thm)],[c_4548,c_89]) ).
tcf(c_4744,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_4739]) ).
tcf(c_4835,plain,
coll(sK9,sK9,sK10),
inference(superposition,[status(thm)],[c_61,c_3871]) ).
tcf(c_4858,plain,
coll(sK9,sK10,sK9),
inference(superposition,[status(thm)],[c_4835,c_91]) ).
tcf(c_4905,plain,
! [X0: $i] :
( coll(sK9,X0,sK9)
| ~ coll(sK9,sK10,X0) ),
inference(superposition,[status(thm)],[c_4858,c_89]) ).
tcf(c_4910,plain,
( coll(sK9,sK0,sK9)
| ~ coll(sK9,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_4905]) ).
tcf(c_5330,plain,
( coll(sK0,sK8,sK5)
| ~ coll(sK5,sK1,sK8)
| ~ coll(sK5,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2702]) ).
tcf(c_5413,plain,
( para(sK0,sK1,sK0,sK1)
| ~ perp(sK5,sK4,sK0,sK1)
| ~ perp(sK0,sK1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_2856]) ).
tcf(c_5533,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_109]) ).
tcf(c_5559,plain,
! [X0: $i] :
( coll(X0,sK1,sK0)
| ~ coll(sK1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5560,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5559]) ).
tcf(c_6507,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_6515,plain,
( coll(sK3,sK0,sK12)
| ~ coll(sK3,sK12,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_6522,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6523,plain,
( eqangle(sK0,sK1,sK0,sK0,sK0,sK1,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_6522]) ).
tcf(c_6527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK0,sK1,sK0,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_6528,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_6527]) ).
tcf(c_6599,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK10,X2,X0)
| ~ coll(X0,X1,sK10)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_6724,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK5,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_3226,c_103]) ).
tcf(c_6725,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_3227,c_103]) ).
tcf(c_6846,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK4,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_103]) ).
tcf(c_7178,plain,
( coll(sK10,sK10,sK9)
| ~ coll(sK9,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_3488]) ).
tcf(c_7672,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5533,c_105]) ).
tcf(c_7843,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,X0)
| ~ coll(X0,sK8,X2)
| ~ coll(X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_7844,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_7843]) ).
tcf(c_8105,plain,
para(sK5,sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_3444,c_6846]) ).
tcf(c_8162,plain,
( coll(sK0,sK5,sK8)
| ~ coll(sK0,sK8,sK5) ),
inference(instantiation,[status(thm)],[c_4276]) ).
tcf(c_8177,plain,
! [X0: $i] :
( coll(sK5,sK10,X0)
| ~ coll(sK10,sK5,X0) ),
inference(instantiation,[status(thm)],[c_4294]) ).
tcf(c_8182,plain,
( coll(sK5,sK10,sK0)
| ~ coll(sK10,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_8177]) ).
tcf(c_8456,plain,
( coll(sK5,sK8,sK1)
| ~ coll(sK1,sK1,sK8)
| ~ coll(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_3328]) ).
tcf(c_8548,plain,
( coll(sK5,sK1,sK8)
| ~ coll(sK5,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_4295]) ).
tcf(c_8983,plain,
! [X0: $i] :
( coll(sK9,sK10,X0)
| ~ coll(sK9,X0,sK10) ),
inference(instantiation,[status(thm)],[c_4331]) ).
tcf(c_8984,plain,
( coll(sK9,sK10,sK0)
| ~ coll(sK9,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_8983]) ).
tcf(c_9153,plain,
para(sK4,sK5,sK5,sK4),
inference(superposition,[status(thm)],[c_8105,c_131]) ).
tcf(c_9182,plain,
( coll(sK5,sK0,sK10)
| ~ coll(sK5,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_9229,plain,
! [X0: $i] :
( coll(sK10,sK8,X0)
| ~ coll(X0,sK5,sK8)
| ~ coll(X0,sK5,sK10) ),
inference(instantiation,[status(thm)],[c_4384]) ).
tcf(c_9231,plain,
! [X0: $i] :
( coll(X0,sK5,sK10)
| ~ coll(sK5,X0,sK10) ),
inference(instantiation,[status(thm)],[c_4250]) ).
tcf(c_9232,plain,
( coll(sK10,sK8,sK0)
| ~ coll(sK0,sK5,sK8)
| ~ coll(sK0,sK5,sK10) ),
inference(instantiation,[status(thm)],[c_9229]) ).
tcf(c_9233,plain,
( coll(sK0,sK5,sK10)
| ~ coll(sK5,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_9231]) ).
tcf(c_9617,plain,
! [X0: $i,X1: $i] :
( coll(sK5,sK6,X0)
| ~ coll(X0,X1,sK5)
| ~ coll(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_4388]) ).
tcf(c_9618,plain,
( coll(sK5,sK6,sK0)
| ~ coll(sK0,sK0,sK5)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_9617]) ).
tcf(c_12658,plain,
( coll(sK10,sK9,sK10)
| ~ coll(sK10,sK10,sK9) ),
inference(instantiation,[status(thm)],[c_4280]) ).
tcf(c_13981,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_4546,c_4552]) ).
tcf(c_14029,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_13981,c_89]) ).
tcf(c_14052,plain,
( coll(sK10,sK8,sK10)
| ~ coll(sK10,sK9,sK8)
| ~ coll(sK10,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_4384]) ).
tcf(c_14298,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_117,c_143]) ).
tcf(c_14310,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14298]) ).
tcf(c_14427,plain,
! [X0: $i] :
( coll(sK10,X0,sK10)
| ~ coll(sK10,sK8,sK10)
| ~ coll(sK10,sK8,X0) ),
inference(instantiation,[status(thm)],[c_6599]) ).
tcf(c_14430,plain,
( coll(sK10,sK0,sK10)
| ~ coll(sK10,sK8,sK10)
| ~ coll(sK10,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_14427]) ).
tcf(c_14680,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK1,X0,X1,sK0,sK1)
| ~ eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_14684,plain,
( eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK1)
| ~ eqangle(sK0,sK1,sK0,sK0,sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14680]) ).
tcf(c_15043,plain,
coll(sK6,sK9,sK2),
inference(superposition,[status(thm)],[c_4654,c_4585]) ).
tcf(c_15117,plain,
coll(sK6,sK2,sK9),
inference(superposition,[status(thm)],[c_15043,c_91]) ).
tcf(c_15694,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_113]) ).
tcf(c_15695,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK4,sK11,sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_15714,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_113]) ).
tcf(c_15715,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK4,sK11,sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_15984,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15694,c_123]) ).
tcf(c_16021,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15714,c_123]) ).
tcf(c_16180,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ coll(sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_15695,c_143]) ).
tcf(c_16217,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ coll(sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_15715,c_143]) ).
tcf(c_24264,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK0,X0,X1)
| ~ perp(X0,X1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_24265,plain,
( perp(sK2,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_24264]) ).
tcf(c_25084,plain,
! [X0: $i] :
( coll(sK9,X0,sK6)
| ~ coll(sK6,sK2,X0) ),
inference(superposition,[status(thm)],[c_15117,c_89]) ).
tcf(c_25090,plain,
( coll(sK9,sK0,sK6)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_25084]) ).
tcf(c_25122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK6,sK4)
| ~ perp(X2,X3,sK6,sK4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_25937,plain,
( perp(sK2,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_7672,c_104]) ).
tcf(c_27290,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_27291,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_27290]) ).
tcf(c_27308,plain,
! [X0: $i] :
( coll(sK12,X0,sK0)
| ~ para(sK12,X0,sK12,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_27309,plain,
( coll(sK12,sK0,sK0)
| ~ para(sK12,sK0,sK12,sK0) ),
inference(instantiation,[status(thm)],[c_27308]) ).
tcf(c_31648,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK6,sK4)
| ~ perp(sK0,sK2,sK6,sK4)
| ~ perp(X0,X1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_25122]) ).
tcf(c_31649,plain,
( para(sK0,sK0,sK6,sK4)
| ~ perp(sK0,sK2,sK6,sK4)
| ~ perp(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_31648]) ).
tcf(c_32057,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_52,c_6724]) ).
tcf(c_32174,plain,
! [X0: $i] :
( midp(sK1,X0,sK1)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_32057,c_88]) ).
tcf(c_32187,plain,
( midp(sK1,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_32174]) ).
tcf(c_32532,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_6725]) ).
tcf(c_32587,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_32532,c_127]) ).
tcf(c_32597,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32587,c_32532]) ).
tcf(c_32600,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_32597]) ).
tcf(c_32657,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_15984,c_112]) ).
tcf(c_32690,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16021,c_112]) ).
tcf(c_33214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_117,c_142]) ).
tcf(c_33276,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33214]) ).
tcf(c_33295,plain,
! [X0: $i] :
( cong(X0,sK4,sK0,sK4)
| ~ cyclic(X0,sK4,sK0,sK11)
| ~ cyclic(X0,sK4,sK0,sK0)
| ~ cyclic(X0,sK4,sK0,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15715,c_142]) ).
tcf(c_33959,plain,
perp(sK0,sK2,sK9,sK7),
inference(superposition,[status(thm)],[c_59,c_104]) ).
tcf(c_34037,plain,
perp(sK0,sK2,sK7,sK9),
inference(superposition,[status(thm)],[c_33959,c_105]) ).
tcf(c_34590,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_109]) ).
tcf(c_34592,plain,
( perp(sK0,sK7,sK7,sK12)
| ~ coll(sK3,sK0,sK12) ),
inference(superposition,[status(thm)],[c_56,c_109]) ).
tcf(c_34668,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK4,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_34670,plain,
! [X0: $i,X1: $i] :
( para(sK9,sK7,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_103]) ).
tcf(c_34755,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_34590,c_105]) ).
tcf(c_34804,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK7,X0,X1)
| ~ coll(sK3,sK0,sK12)
| ~ perp(sK7,sK12,X0,X1) ),
inference(superposition,[status(thm)],[c_34592,c_103]) ).
tcf(c_34808,plain,
( perp(sK7,sK12,sK0,sK7)
| ~ coll(sK3,sK0,sK12) ),
inference(superposition,[status(thm)],[c_34592,c_104]) ).
tcf(c_35135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_122]) ).
tcf(c_35446,plain,
para(sK9,sK7,sK7,sK9),
inference(superposition,[status(thm)],[c_34037,c_34670]) ).
tcf(c_35447,plain,
para(sK6,sK4,sK7,sK9),
inference(superposition,[status(thm)],[c_34037,c_34668]) ).
tcf(c_36203,plain,
para(sK7,sK9,sK9,sK7),
inference(superposition,[status(thm)],[c_35446,c_131]) ).
tcf(c_36212,plain,
para(sK7,sK9,sK6,sK4),
inference(superposition,[status(thm)],[c_35447,c_131]) ).
tcf(c_36324,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_113]) ).
tcf(c_36325,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK4,sK11,sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_36326,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK7,sK12,sK0,sK12,sK7)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_56,c_113]) ).
tcf(c_36390,plain,
para(sK7,sK9,sK7,sK9),
inference(superposition,[status(thm)],[c_36203,c_132]) ).
tcf(c_36402,plain,
para(sK7,sK9,sK4,sK6),
inference(superposition,[status(thm)],[c_36212,c_132]) ).
tcf(c_36452,plain,
! [X0: $i] :
( eqangle(sK0,sK4,sK0,X0,sK11,sK4,sK11,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_36325,c_122]) ).
tcf(c_36456,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ coll(sK0,sK11,sK4)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_36325,c_143]) ).
tcf(c_37691,plain,
( midp(sK1,sK0,sK1)
| ~ coll(sK1,sK0,sK1)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(sK2,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_36324,c_110]) ).
tcf(c_38075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK12,sK0,sK12,sK7)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK0,X4,sK0,sK7) ),
inference(superposition,[status(thm)],[c_36326,c_119]) ).
tcf(c_39235,plain,
( coll(sK0,sK11,sK4)
| cyclic(sK4,sK0,sK0,sK11)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_36452,c_144]) ).
tcf(c_40417,plain,
( perp(sK2,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_34755,c_104]) ).
tcf(c_41866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X3,X4,X5)
| ~ perp(X0,X3,sK28(X0,X1,X2,X3),X0)
| ~ perp(sK28(X0,X1,X2,X3),X0,X4,X5) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_42541,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK3,X2,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_44128,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK4)
| ~ coll(sK4,X0,X2)
| ~ coll(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_44129,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_44128]) ).
tcf(c_44254,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK7)
| ~ para(X0,X1,X0,sK7) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_44257,plain,
( coll(sK0,sK0,sK7)
| ~ para(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_44254]) ).
tcf(c_44494,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK12)
| ~ coll(sK12,X0,X2)
| ~ coll(sK12,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_44495,plain,
( coll(sK0,sK0,sK12)
| ~ coll(sK12,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_44494]) ).
tcf(c_45379,plain,
( para(sK0,sK3,sK3,sK0)
| ~ perp(sK0,sK3,sK28(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK28(sK0,sK1,sK2,sK3),sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_41866]) ).
tcf(c_46116,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK3)
| ~ coll(sK3,X0,X2)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_46117,plain,
( coll(sK0,sK0,sK3)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_46116]) ).
tcf(c_47105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,X0,sK3,X3)
| ~ eqangle(sK3,X0,X1,X2,sK3,X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_47106,plain,
( para(sK3,sK0,sK3,sK0)
| ~ eqangle(sK3,sK0,sK0,sK0,sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_47105]) ).
tcf(c_47696,plain,
! [X0: $i] :
( para(sK12,X0,sK12,sK0)
| ~ para(sK12,X0,sK0,sK12) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_47697,plain,
( para(sK12,sK0,sK12,sK0)
| ~ para(sK12,sK0,sK0,sK12) ),
inference(instantiation,[status(thm)],[c_47696]) ).
tcf(c_48526,plain,
( eqangle(sK4,sK0,sK0,sK7,sK9,sK10,sK10,sK6)
| ~ eqangle(sK0,sK4,sK0,sK7,sK9,sK10,sK10,sK6) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_48601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK3,X0,X1,X0,sK3,X2,X1,X3)
| ~ eqangle(X0,sK3,X1,X0,sK3,X2,X1,X3) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_48602,plain,
( eqangle(sK3,sK0,sK0,sK0,sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK3,sK0,sK0,sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_48601]) ).
tcf(c_49030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,sK0,X2,X3)
| ~ perp(sK3,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_49033,plain,
( para(sK3,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_49030]) ).
tcf(c_50081,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_99]) ).
tcf(c_50082,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK2,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_50081]) ).
tcf(c_51053,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ midp(sK1,sK0,sK1)
| ~ circle(sK2,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_51148,plain,
( eqangle(sK0,sK4,sK0,sK7,sK9,sK10,sK10,sK6)
| ~ eqangle(sK9,sK10,sK10,sK6,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_51670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK7)
| ~ coll(X1,X3,sK7)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_51671,plain,
( midp(sK0,sK0,sK7)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK7)
| ~ para(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_51670]) ).
tcf(c_53474,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK3,X0,X1,sK3,sK0,X0,X1)
| ~ para(sK0,sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_53475,plain,
( eqangle(sK0,sK3,sK0,sK0,sK3,sK0,sK0,sK0)
| ~ para(sK0,sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_53474]) ).
tcf(c_54657,plain,
! [X0: $i] :
( coll(sK3,sK2,sK0)
| ~ coll(sK0,X0,sK2)
| ~ coll(sK0,X0,sK3) ),
inference(instantiation,[status(thm)],[c_42541]) ).
tcf(c_54658,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_54657]) ).
tcf(c_54661,plain,
! [X0: $i] :
( coll(sK3,sK12,sK0)
| ~ coll(sK0,X0,sK12)
| ~ coll(sK0,X0,sK3) ),
inference(instantiation,[status(thm)],[c_42541]) ).
tcf(c_54662,plain,
( coll(sK3,sK12,sK0)
| ~ coll(sK0,sK0,sK12)
| ~ coll(sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_54661]) ).
tcf(c_60579,plain,
( perp(sK7,sK12,sK7,sK0)
| ~ coll(sK3,sK0,sK12) ),
inference(superposition,[status(thm)],[c_34808,c_105]) ).
tcf(c_65884,plain,
( para(sK0,sK7,sK0,sK7)
| ~ coll(sK3,sK0,sK12) ),
inference(superposition,[status(thm)],[c_34808,c_34804]) ).
tcf(c_73791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK1,sK0,sK1)
| ~ eqangle(X0,X1,sK0,sK1,X2,X3,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_73792,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK1,sK0,sK1)
| ~ eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_73791]) ).
tcf(c_75395,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ cyclic(sK4,sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_76373,plain,
( eqangle(sK9,sK10,sK10,sK6,sK0,sK4,sK0,sK7)
| ~ eqangle(sK10,sK9,sK10,sK6,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_77482,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_36456,c_16180,c_39235,c_75395]) ).
tcf(c_78470,plain,
( cong(sK0,sK2,sK0,sK2)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_79916,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK2,X1,sK2,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK2,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_79917,plain,
( cong(sK2,sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK2,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_79916]) ).
tcf(c_80693,plain,
( cyclic(sK0,sK4,sK0,sK11)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_16217,c_77482]) ).
tcf(c_81302,plain,
( circle(sK2,sK0,sK0,sK1)
| ~ cong(sK2,sK0,sK2,sK1)
| ~ cong(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_87984,plain,
! [X0: $i,X1: $i] :
( midp(sK7,sK0,sK7)
| ~ midp(sK7,X0,X1)
| ~ para(X0,sK7,X1,sK0)
| ~ para(X0,sK0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_87985,plain,
( midp(sK7,sK0,sK7)
| ~ midp(sK7,sK0,sK0)
| ~ para(sK0,sK7,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_87984]) ).
tcf(c_89356,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK7,X0,X0,X1)
| ~ cong(X0,sK7,X2,sK7)
| ~ cyclic(X0,X2,sK7,X1)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_89357,plain,
( perp(sK7,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK7,sK0)
| ~ cong(sK0,sK7,sK0,sK7)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_89356]) ).
tcf(c_93443,plain,
midp(sK1,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_37691,c_58,c_53,c_52,c_160,c_2297,c_2299,c_2303,c_2704,c_2759,c_4275,c_4744,c_5413,c_6523,c_6528,c_7844,c_14310,c_14684,c_32187,c_33276,c_73792]) ).
tcf(c_101484,plain,
! [X0: $i] :
( midp(sK9,X0,sK9)
| ~ midp(sK7,X0,sK7)
| ~ coll(sK9,X0,sK9) ),
inference(superposition,[status(thm)],[c_36390,c_88]) ).
tcf(c_101498,plain,
( midp(sK9,sK0,sK9)
| ~ midp(sK7,sK0,sK7)
| ~ coll(sK9,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_101484]) ).
tcf(c_103606,plain,
! [X0: $i] :
( midp(sK9,X0,sK6)
| ~ midp(sK7,X0,sK4)
| ~ coll(sK9,X0,sK6) ),
inference(superposition,[status(thm)],[c_36402,c_88]) ).
tcf(c_103618,plain,
( midp(sK9,sK0,sK6)
| ~ midp(sK7,sK0,sK4)
| ~ coll(sK9,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_103606]) ).
tcf(c_103770,plain,
perp(sK2,sK1,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_40417,c_60,c_818,c_2300,c_2785,c_3021,c_3020,c_3979,c_6507,c_25937,c_27291,c_45379,c_46117,c_47106,c_48602,c_53475,c_54658]) ).
tcf(c_103774,plain,
( cong(sK2,sK0,sK2,sK1)
| ~ midp(sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_103770,c_100]) ).
tcf(c_103777,plain,
cong(sK2,sK0,sK2,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_103774,c_93443]) ).
tcf(c_104948,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_32690,c_58,c_53,c_54,c_52,c_160,c_834,c_2297,c_2299,c_2303,c_2304,c_2308,c_2704,c_2759,c_2940,c_4275,c_4744,c_5413,c_6523,c_6528,c_7844,c_14310,c_14684,c_24265,c_31649,c_32187,c_32600,c_32657,c_33276,c_50082,c_51053,c_73792,c_78470,c_79917,c_81302,c_103777]) ).
tcf(c_104955,plain,
perp(sK3,sK0,sK0,sK0),
inference(superposition,[status(thm)],[c_50,c_104948]) ).
tcf(c_104966,plain,
cyclic(sK0,sK4,sK0,sK11),
inference(backward_subsumption_resolution,[status(thm)],[c_80693,c_104955]) ).
tcf(c_106548,plain,
( para(sK0,sK7,sK7,sK0)
| ~ coll(sK3,sK0,sK12) ),
inference(superposition,[status(thm)],[c_60579,c_34804]) ).
tcf(c_107530,plain,
para(sK4,sK5,sK4,sK5),
inference(superposition,[status(thm)],[c_9153,c_132]) ).
tcf(c_112029,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ cyclic(sK0,sK4,sK0,sK11)
| ~ cyclic(sK0,sK4,sK0,sK0)
| ~ cyclic(sK0,sK4,sK0,sK4) ),
inference(superposition,[status(thm)],[c_104955,c_33295]) ).
tcf(c_112035,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ cyclic(sK0,sK4,sK0,sK0)
| ~ cyclic(sK0,sK4,sK0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112029,c_104966]) ).
tcf(c_116898,plain,
coll(sK4,sK5,sK5),
inference(superposition,[status(thm)],[c_107530,c_86]) ).
tcf(c_116907,plain,
coll(sK5,sK4,sK5),
inference(superposition,[status(thm)],[c_116898,c_90]) ).
tcf(c_116911,plain,
coll(sK5,sK5,sK4),
inference(superposition,[status(thm)],[c_116907,c_91]) ).
tcf(c_121432,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK0,X2,X0,X1,sK12,sK0,sK12,sK7)
| ~ perp(sK3,sK0,sK0,X2)
| ~ para(X0,X1,sK0,sK7) ),
inference(superposition,[status(thm)],[c_35135,c_38075]) ).
tcf(c_121502,plain,
( eqangle(sK0,sK0,sK0,sK0,sK12,sK0,sK12,sK7)
| ~ para(sK0,sK0,sK0,sK7)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_121432]) ).
tcf(c_123588,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ coll(sK3,sK0,sK12)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(superposition,[status(thm)],[c_65884,c_127]) ).
tcf(c_123609,plain,
( midp(sK0,sK7,sK7)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK12)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_123588]) ).
tcf(c_129140,plain,
coll(sK1,sK4,sK5),
inference(superposition,[status(thm)],[c_116911,c_14029]) ).
tcf(c_131633,plain,
coll(sK1,sK5,sK4),
inference(superposition,[status(thm)],[c_129140,c_91]) ).
tcf(c_134583,plain,
! [X0: $i] :
( midp(sK7,X0,sK0)
| ~ coll(sK3,sK0,sK12)
| ~ midp(sK0,X0,sK7)
| ~ coll(sK7,X0,sK0) ),
inference(superposition,[status(thm)],[c_106548,c_88]) ).
tcf(c_134600,plain,
( midp(sK7,sK0,sK0)
| ~ midp(sK0,sK0,sK7)
| ~ coll(sK3,sK0,sK12)
| ~ coll(sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_134583]) ).
tcf(c_134875,plain,
coll(sK0,sK4,sK1),
inference(superposition,[status(thm)],[c_131633,c_4033]) ).
tcf(c_142096,plain,
coll(sK0,sK1,sK4),
inference(superposition,[status(thm)],[c_134875,c_91]) ).
tcf(c_144726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK10,sK9,sK10,sK6,sK0,sK4,sK0,sK7)
| ~ eqangle(sK10,sK9,sK10,sK6,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_144727,plain,
( eqangle(sK10,sK9,sK10,sK6,sK0,sK4,sK0,sK7)
| ~ eqangle(sK10,sK9,sK10,sK6,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_144726]) ).
tcf(c_149390,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_142096,c_89]) ).
tcf(c_149397,plain,
( coll(sK4,sK0,sK0)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_149390]) ).
tcf(c_150096,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK0,sK0,sK7,X0,X1,sK0,sK7)
| ~ para(sK4,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_150189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK4,sK0,X0,X1)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(sK4,sK0,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_150205,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK0,sK9,sK10,X0,X1,sK9,sK10)
| ~ para(sK4,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_150266,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK4,sK0,sK7,X1,sK0,X1,sK7)
| ~ perp(X0,sK0,sK0,sK4)
| ~ circle(X0,sK0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_150275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK0,sK4,sK0,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_150647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK4,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_150689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK7,X2,X3)
| ~ para(sK0,sK7,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_150690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK7,X2,X3)
| ~ eqangle(sK0,sK7,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_150700,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK7,X1,X0)
| ~ para(sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_150753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK4,X2,X3)
| ~ eqangle(sK0,sK4,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_150756,plain,
( para(sK0,sK4,sK0,sK0)
| ~ eqangle(sK0,sK4,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_150753]) ).
tcf(c_150794,plain,
( eqangle(sK0,sK4,sK0,sK7,sK12,sK0,sK12,sK7)
| ~ perp(sK3,sK0,sK0,sK4)
| ~ circle(sK3,sK0,sK7,sK12) ),
inference(instantiation,[status(thm)],[c_150266]) ).
tcf(c_150844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK9,sK10,sK4,sK0,X2,X3,X0,X1)
| ~ eqangle(sK4,sK0,sK9,sK10,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_150887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK10,sK9,sK10,sK6,X0,X1,X2,X3)
| ~ eqangle(sK10,sK9,X0,X1,sK10,sK6,X2,X3) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_150888,plain,
( eqangle(sK10,sK9,sK10,sK6,sK0,sK0,sK0,sK0)
| ~ eqangle(sK10,sK9,sK0,sK0,sK10,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_150887]) ).
tcf(c_151200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK0,sK7,sK4,sK0)
| ~ eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_151372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7)
| ~ eqangle(X4,X5,X6,X7,sK0,sK4,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_151375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7)
| ~ eqangle(sK0,sK4,sK0,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_151379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK0,sK4,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_151411,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK4,sK0,sK4,X0)
| ~ para(X1,sK0,X1,X2)
| ~ eqangle(sK4,sK0,sK4,X0,X1,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_150189]) ).
tcf(c_151413,plain,
( para(sK4,sK0,sK4,sK0)
| ~ para(sK0,sK0,sK0,sK0)
| ~ eqangle(sK4,sK0,sK4,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_151411]) ).
tcf(c_151486,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK0,sK4,X0,X1,sK0,X1,X0)
| ~ cyclic(sK0,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_151488,plain,
( eqangle(sK4,sK0,sK4,sK0,sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_151486]) ).
tcf(c_151515,plain,
! [X0: $i,X1: $i] :
( perp(sK3,sK0,sK0,sK4)
| ~ para(sK3,sK0,X0,X1)
| ~ perp(X0,X1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_151516,plain,
( perp(sK3,sK0,sK0,sK4)
| ~ para(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_151515]) ).
tcf(c_152229,plain,
! [X0: $i] :
( cyclic(sK0,sK0,sK4,sK4)
| ~ cyclic(X0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_152230,plain,
( cyclic(sK0,sK0,sK4,sK4)
| ~ cyclic(sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_152229]) ).
tcf(c_153090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK4)
| ~ perp(X2,X3,sK0,sK4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_153091,plain,
( para(sK0,sK0,sK0,sK4)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_153090]) ).
tcf(c_153160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK7)
| ~ perp(X2,X3,sK0,sK7)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_153161,plain,
( para(sK0,sK0,sK0,sK7)
| ~ perp(sK0,sK0,sK0,sK7)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_153160]) ).
tcf(c_153412,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_103]) ).
tcf(c_153413,plain,
( para(sK7,sK0,sK0,sK0)
| ~ perp(sK7,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_153412]) ).
tcf(c_153845,plain,
! [X0: $i,X1: $i] :
( midp(sK7,X1,X0)
| ~ midp(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_154368,plain,
! [X0: $i,X1: $i] :
( cyclic(sK0,X0,sK4,X1)
| ~ cyclic(sK0,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_154369,plain,
( cyclic(sK0,sK0,sK4,sK0)
| ~ cyclic(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_154368]) ).
tcf(c_154500,plain,
! [X0: $i,X1: $i] :
( cyclic(sK0,sK7,X0,X1)
| ~ cyclic(sK7,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_154501,plain,
( cyclic(sK0,sK7,sK0,sK0)
| ~ cyclic(sK7,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_154500]) ).
tcf(c_155275,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK4,sK0,X1,sK0,sK0,sK0,X1)
| ~ perp(X0,sK0,sK0,sK4)
| ~ circle(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_155276,plain,
( eqangle(sK0,sK4,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK4)
| ~ circle(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_155275]) ).
tcf(c_155695,plain,
! [X0: $i,X1: $i] :
( eqangle(sK10,sK9,X0,X1,sK10,sK6,X0,X1)
| ~ para(sK10,sK9,sK10,sK6) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_155696,plain,
( eqangle(sK10,sK9,sK0,sK0,sK10,sK6,sK0,sK0)
| ~ para(sK10,sK9,sK10,sK6) ),
inference(instantiation,[status(thm)],[c_155695]) ).
tcf(c_157225,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK4)
| ~ cong(X0,sK0,X1,sK0)
| ~ cong(X0,sK4,X1,sK4) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_157226,plain,
( perp(sK0,sK0,sK0,sK4)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_157225]) ).
tcf(c_157528,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK4,X0,X1,X0,sK4)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_157529,plain,
( eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_157528]) ).
tcf(c_158393,plain,
( cyclic(sK0,sK4,sK0,sK4)
| ~ cyclic(sK0,sK0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_158817,plain,
( cong(sK0,sK7,sK0,sK7)
| ~ midp(sK0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_158836,plain,
( para(sK0,sK7,sK7,sK0)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_150700]) ).
tcf(c_158988,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK0,sK4)
| ~ cyclic(X0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_158989,plain,
( cyclic(sK0,sK0,sK0,sK4)
| ~ cyclic(sK0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_158988]) ).
tcf(c_159634,plain,
! [X0: $i,X1: $i] :
( coll(sK7,X1,sK0)
| ~ coll(sK0,X0,sK7)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_159635,plain,
( coll(sK7,sK0,sK0)
| ~ coll(sK0,sK0,sK7)
| ~ coll(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_159634]) ).
tcf(c_159888,plain,
! [X0: $i] :
( cyclic(sK0,sK4,X0,sK0)
| ~ coll(X0,sK0,sK4)
| ~ eqangle(X0,sK0,X0,sK4,sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_159889,plain,
( cyclic(sK0,sK4,sK0,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_159888]) ).
tcf(c_161704,plain,
! [X0: $i,X1: $i] :
( cyclic(sK0,X0,sK7,X1)
| ~ cyclic(sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_161705,plain,
( cyclic(sK0,sK0,sK7,sK0)
| ~ cyclic(sK0,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_161704]) ).
tcf(c_161731,plain,
! [X0: $i,X1: $i] :
( cyclic(sK7,sK0,X0,X1)
| ~ coll(X0,X1,sK0)
| ~ eqangle(X0,sK7,X0,sK0,X1,sK7,X1,sK0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_161732,plain,
( cyclic(sK7,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK7,sK0,sK0,sK0,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_161731]) ).
tcf(c_162414,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK7)
| ~ cong(X0,sK7,X1,sK7)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_162415,plain,
( perp(sK0,sK0,sK0,sK7)
| ~ cong(sK0,sK7,sK0,sK7)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_162414]) ).
tcf(c_164240,plain,
! [X0: $i] :
( para(sK0,sK7,X0,sK7)
| ~ eqangle(sK0,sK7,sK4,sK0,X0,sK7,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_150690]) ).
tcf(c_164241,plain,
( para(sK0,sK7,sK0,sK7)
| ~ eqangle(sK0,sK7,sK4,sK0,sK0,sK7,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_164240]) ).
tcf(c_164379,plain,
( eqangle(sK4,sK0,sK0,sK7,sK4,sK0,sK0,sK7)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_150096]) ).
tcf(c_164381,plain,
( eqangle(sK0,sK7,sK4,sK0,sK0,sK7,sK4,sK0)
| ~ eqangle(sK4,sK0,sK0,sK7,sK4,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_151200]) ).
tcf(c_164470,plain,
! [X0: $i,X1: $i] :
( eqangle(sK9,sK10,sK4,sK0,sK9,sK10,X0,X1)
| ~ eqangle(sK4,sK0,sK9,sK10,X0,X1,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_150844]) ).
tcf(c_164479,plain,
( eqangle(sK4,sK0,sK9,sK10,sK4,sK0,sK9,sK10)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_150205]) ).
tcf(c_164638,plain,
( eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(sK0,sK4,sK0,sK7,sK12,sK0,sK12,sK7) ),
inference(instantiation,[status(thm)],[c_151375]) ).
tcf(c_165072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X2,X3,X0,X1,sK0,sK7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_166945,plain,
! [X0: $i] :
( midp(sK7,X0,sK4)
| ~ midp(sK7,sK4,X0) ),
inference(instantiation,[status(thm)],[c_153845]) ).
tcf(c_166949,plain,
( midp(sK7,sK0,sK4)
| ~ midp(sK7,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_166945]) ).
tcf(c_167077,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK7,sK4,X1)
| ~ midp(sK7,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_150647]) ).
tcf(c_167078,plain,
( midp(sK7,sK4,sK0)
| ~ midp(sK7,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_167077]) ).
tcf(c_168549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK0,sK7,X2,X3,sK0,sK7)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_168550,plain,
( eqangle(sK0,sK0,sK0,sK7,sK0,sK0,sK0,sK7)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_168549]) ).
tcf(c_169621,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,sK7,X1,X2)
| ~ para(sK0,sK7,sK7,X0)
| ~ para(sK7,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_150689]) ).
tcf(c_169632,plain,
( para(sK0,sK7,sK0,sK0)
| ~ para(sK7,sK0,sK0,sK0)
| ~ para(sK0,sK7,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_169621]) ).
tcf(c_170787,plain,
( eqangle(sK0,sK12,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_151379]) ).
tcf(c_170791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK4,sK0,sK7)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,sK12,sK0,sK12,sK7) ),
inference(instantiation,[status(thm)],[c_151372]) ).
tcf(c_170792,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK4,sK0,sK7)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(sK0,sK0,sK0,sK0,sK12,sK0,sK12,sK7) ),
inference(instantiation,[status(thm)],[c_170791]) ).
tcf(c_170911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK12,sK0,sK12,sK7,X4,X5,X6,X7)
| ~ eqangle(sK12,sK0,sK12,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_174861,plain,
( eqangle(sK9,sK10,sK4,sK0,sK9,sK10,sK4,sK0)
| ~ eqangle(sK4,sK0,sK9,sK10,sK4,sK0,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_164470]) ).
tcf(c_176053,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK7,X0,X1,sK0,sK7,sK0,X1)
| ~ eqangle(X0,X1,X0,sK7,sK0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_165072]) ).
tcf(c_176055,plain,
( eqangle(sK0,sK7,sK0,sK0,sK0,sK7,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK7,sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_176053]) ).
tcf(c_178843,plain,
( eqangle(sK0,sK4,sK0,sK7,sK0,sK12,sK12,sK7)
| ~ eqangle(sK0,sK12,sK12,sK7,sK0,sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_150275]) ).
tcf(c_179890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK12,sK0,X2,X3)
| ~ eqangle(sK12,sK0,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_180851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK12,sK0,sK12,sK7,X0,X1,X2,X3)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(sK0,sK4,sK0,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_170911]) ).
tcf(c_189637,plain,
( eqangle(sK12,sK0,sK12,sK7,sK0,sK12,sK12,sK7)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK4,sK0,sK7)
| ~ eqangle(sK0,sK4,sK0,sK7,sK0,sK12,sK12,sK7) ),
inference(instantiation,[status(thm)],[c_180851]) ).
tcf(c_208170,plain,
( para(sK12,sK0,sK0,sK12)
| ~ eqangle(sK12,sK0,sK12,sK7,sK0,sK12,sK12,sK7) ),
inference(instantiation,[status(thm)],[c_179890]) ).
tcf(c_213766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK9,sK10)
| ~ eqangle(X0,X1,X2,X3,sK9,sK10,X2,X3) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_214129,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,sK10,sK6)
| ~ midp(X2,X1,sK10)
| ~ midp(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_214143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK10)
| ~ coll(X1,X3,sK10)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK10) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_218475,plain,
( para(sK9,sK10,sK9,sK10)
| ~ eqangle(sK9,sK10,sK4,sK0,sK9,sK10,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_213766]) ).
tcf(c_223813,plain,
! [X0: $i] :
( midp(sK10,X0,sK10)
| ~ midp(sK9,X0,sK9)
| ~ coll(sK10,X0,sK10)
| ~ para(sK9,sK10,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_214143]) ).
tcf(c_223814,plain,
( midp(sK10,sK0,sK10)
| ~ midp(sK9,sK0,sK9)
| ~ coll(sK10,sK0,sK10)
| ~ para(sK9,sK10,sK9,sK10) ),
inference(instantiation,[status(thm)],[c_223813]) ).
tcf(c_238108,plain,
! [X0: $i] :
( para(sK10,sK9,sK10,sK6)
| ~ midp(sK10,X0,sK10)
| ~ midp(sK9,X0,sK6) ),
inference(instantiation,[status(thm)],[c_214129]) ).
tcf(c_238109,plain,
( para(sK10,sK9,sK10,sK6)
| ~ midp(sK10,sK0,sK10)
| ~ midp(sK9,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_238108]) ).
tcf(c_238110,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_238109,c_223814,c_218475,c_208170,c_189637,c_178843,c_176055,c_174861,c_170792,c_170787,c_169632,c_168550,c_167078,c_166949,c_164638,c_164479,c_164381,c_164379,c_164241,c_162415,c_161732,c_161705,c_159889,c_159635,c_158989,c_158836,c_158817,c_158393,c_157529,c_157226,c_155696,c_155276,c_154501,c_154369,c_153413,c_153161,c_153091,c_152230,c_151516,c_151488,c_151413,c_150888,c_150794,c_150756,c_149397,c_144727,c_134600,c_123609,c_121502,c_112035,c_103777,c_103618,c_101498,c_89357,c_87985,c_81302,c_79917,c_78470,c_76373,c_73792,c_54662,c_53475,c_51671,c_51148,c_51053,c_50082,c_49033,c_48602,c_48526,c_47697,c_47106,c_46117,c_45379,c_44495,c_44257,c_44129,c_33276,c_32600,c_32187,c_31649,c_27309,c_27291,c_25090,c_24265,c_14684,c_14430,c_14310,c_14052,c_12658,c_9618,c_9233,c_9232,c_9182,c_8984,c_8548,c_8456,c_8182,c_8162,c_7844,c_7178,c_6528,c_6523,c_6515,c_5560,c_5413,c_5330,c_4910,c_4744,c_4275,c_4273,c_3983,c_3140,c_3138,c_3136,c_3020,c_3021,c_2940,c_2759,c_2732,c_2705,c_2704,c_2597,c_2320,c_2308,c_2304,c_2303,c_2301,c_2299,c_2298,c_2297,c_2293,c_834,c_818,c_164,c_162,c_160,c_49,c_52,c_54,c_56,c_53,c_55,c_58,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO548+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n019.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 12:22:43 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.44
% 0.14/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 66.92/21.98 % SZS status Started for theBenchmark.p
% 66.92/21.98 % SZS status Theorem for theBenchmark.p
% 66.92/21.98
% 66.92/21.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 66.92/21.98
% 66.92/21.98 % ------ iProver source info
% 66.92/21.98
% 66.92/21.98 % git: date: 2026-07-19 20:42:38 +0200
% 66.92/21.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 66.92/21.98 % git: non_committed_changes: false
% 66.92/21.98
% 66.92/21.98 % ------ Parsing...
% 66.92/21.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 66.92/21.98
% 66.92/21.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 66.92/21.98
% 66.92/21.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 66.92/21.98 % ------ Proving...
% 66.92/21.98 % ------ Problem Properties
% 66.92/21.98
% 66.92/21.98 %
% 66.92/21.98 % clauses 101
% 66.92/21.98 % conjectures 14
% 66.92/21.98 % EPR 68
% 66.92/21.98 % Horn 96
% 66.92/21.98 % unary 14
% 66.92/21.98 % binary 24
% 66.92/21.98 % lits 270
% 66.92/21.98 % lits eq 0
% 66.92/21.98 % fd_pure 0
% 66.92/21.98 % fd_pseudo 0
% 66.92/21.98 % fd_cond 0
% 66.92/21.98 % fd_pseudo_cond 0
% 66.92/21.98 % AC symbols 0
% 66.92/21.98
% 66.92/21.98 % ------ Schedule dynamic 5 is on
% 66.92/21.98
% 66.92/21.98 % ------ no equalities: superposition off
% 66.92/21.98
% 66.92/21.98 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 66.92/21.98
% 66.92/21.98
% 66.92/21.98 % ------
% 66.92/21.98 % Current options:
% 66.92/21.98 % ------
% 66.92/21.98
% 66.92/21.98
% 66.92/21.98 %
% 66.92/21.98
% 66.92/21.98 % ------ Proving...
% 66.92/21.98 % Proof_search_loop: time out after: 10561 full_loop iterations
% 66.92/21.98
% 66.92/21.98 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 66.92/21.98
% 66.92/21.98
% 66.92/21.98 % ------
% 66.92/21.98 % Current options:
% 66.92/21.98 % ------
% 66.92/21.98
% 66.92/21.98
% 66.92/21.98 %
% 66.92/21.98
% 66.92/21.98 % ------ Proving...
% 66.92/21.98 %
% 66.92/21.98
% 66.92/21.98 % SZS status Theorem for theBenchmark.p
% 66.92/21.98
% 66.92/21.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.92/21.99
% 66.92/21.99
%------------------------------------------------------------------------------