%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO640+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 : n016.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 01:21:43 PM UTC 2026
% Result : Theorem 211.42s 39.25s
% Output : CNFRefutation 211.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 44
% Syntax : Number of formulae : 459 ( 15 unt; 0 def)
% Number of atoms : 1306 ( 0 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 1493 ( 646 ~; 647 |; 155 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 7 avg)
% Maximal term depth : 3 ( 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 : 33 ( 33 usr; 30 con; 0-7 aty)
% Number of variables : 1342 ( 0 sgn1274 !; 68 ?; 487 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(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(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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
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(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> cyclic(X16,X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109106) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> cyclic(X16,X17,X18,X19) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& ~ cyclic(X16,X17,X18,X19) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& ~ cyclic(X16,X17,X18,X19) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f104]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f137]) ).
fof(f145,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(f146,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,[],[f145]) ).
fof(f147,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(f148,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f147]) ).
fof(f155,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(f156,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,[],[f155]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,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(f160,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,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f162,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(f163,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f167]) ).
fof(f173,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(f174,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,[],[f173]) ).
fof(f179,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(f180,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,[],[f179]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f181]) ).
fof(f185,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(f186,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(f189,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(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f189]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f197]) ).
fof(f199,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(f200,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f216,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(f218,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(f219,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(f220,plain,
( circle(sK14,sK1,sK19,sK29)
& circle(sK13,sK4,sK19,sK28)
& circle(sK13,sK4,sK18,sK27)
& circle(sK12,sK2,sK18,sK26)
& circle(sK12,sK2,sK17,sK25)
& circle(sK11,sK0,sK17,sK24)
& circle(sK11,sK0,sK16,sK23)
& circle(sK10,sK3,sK16,sK22)
& circle(sK14,sK1,sK15,sK21)
& circle(sK10,sK3,sK15,sK20)
& circle(sK14,sK6,sK1,sK5)
& circle(sK13,sK6,sK7,sK4)
& circle(sK12,sK8,sK7,sK2)
& circle(sK11,sK9,sK8,sK0)
& circle(sK10,sK3,sK5,sK9)
& coll(sK9,sK2,sK3)
& coll(sK9,sK0,sK1)
& coll(sK8,sK0,sK4)
& coll(sK8,sK2,sK3)
& coll(sK7,sK0,sK4)
& coll(sK7,sK1,sK2)
& coll(sK6,sK3,sK4)
& coll(sK6,sK1,sK2)
& coll(sK5,sK3,sK4)
& coll(sK5,sK0,sK1)
& ~ cyclic(sK16,sK17,sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16),skolemize(X17,sK17),skolemize(X18,sK18),skolemize(X19,sK19),skolemize(X20,sK20),skolemize(X21,sK21),skolemize(X22,sK22),skolemize(X23,sK23),skolemize(X24,sK24),skolemize(X25,sK25),skolemize(X26,sK26),skolemize(X27,sK27),skolemize(X28,sK28),skolemize(X29,sK29)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK32(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK32(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X5,sK32(X0,X1,X2,X3,X4))],[f105]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK36(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X7,sK36(X0,X1,X2,X3,X4,X5,X6))],[f111]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK43(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X4,sK43(X0,X1,X2,X3))],[f136]) ).
fof(f245,plain,
circle(sK11,sK0,sK16,sK23),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
circle(sK11,sK9,sK8,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f255,plain,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f264,plain,
~ cyclic(sK16,sK17,sK18,sK19),
inference(cnf_transformation,[],[f220]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK32(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK36(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f227]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,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(f291,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK43(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f301,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,[],[f146]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f307,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,[],[f156]) ).
fof(f308,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,[],[f158]) ).
fof(f309,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,[],[f160]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f163]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f164]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f165]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f322,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,[],[f174]) ).
fof(f325,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,[],[f180]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f328,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f185]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f331,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,[],[f190]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f204]) ).
fof(f340,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f346,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f212]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f349,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,[],[f216]) ).
fof(f351,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,[],[f218]) ).
fof(f352,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,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cyclic(sK16,sK17,sK18,sK19),
inference(cnf_transformation,[],[f264]) ).
tcf(c_58,negated_conjecture,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f255]) ).
tcf(c_61,negated_conjecture,
circle(sK11,sK9,sK8,sK0),
inference(cnf_transformation,[],[f252]) ).
tcf(c_68,negated_conjecture,
circle(sK11,sK0,sK16,sK23),
inference(cnf_transformation,[],[f245]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK32(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK36(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK43(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_132,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,[],[f322]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_141,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,[],[f331]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_147,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,[],[f337]) ).
tcf(c_148,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,[],[f338]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_159,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,[],[f349]) ).
tcf(c_161,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,[],[f351]) ).
tcf(c_162,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,[],[f352]) ).
tcf(c_172,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_174,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_176,plain,
( circle(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_899,plain,
perp(sK43(sK9,sK8,sK0,sK11),sK9,sK9,sK11),
inference(resolution,[status(thm)],[c_61,c_106]) ).
tcf(c_1221,plain,
perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11),
inference(resolution,[status(thm)],[c_68,c_106]) ).
tcf(c_3711,plain,
( coll(sK9,sK1,sK0)
| ~ coll(sK9,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_4510,plain,
( coll(sK1,sK9,sK0)
| ~ coll(sK9,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_4652,plain,
coll(sK9,sK1,sK0),
inference(superposition,[status(thm)],[c_58,c_103]) ).
tcf(c_4771,plain,
( perp(sK43(sK0,sK16,sK23,sK11),sK0,sK11,sK0)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_4772,plain,
( perp(sK0,sK11,sK43(sK0,sK16,sK23,sK11),sK0)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_4949,plain,
coll(sK1,sK9,sK0),
inference(superposition,[status(thm)],[c_4652,c_102]) ).
tcf(c_5414,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK9,X0) ),
inference(superposition,[status(thm)],[c_4949,c_101]) ).
tcf(c_5549,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_5414]) ).
tcf(c_6019,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_6020,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_6019]) ).
tcf(c_6362,plain,
! [X0: $i,X1: $i] :
( perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,X0,X1),sK43(sK9,sK8,sK0,sK11),X0,X1)
| ~ coll(sK11,X0,X1)
| ~ perp(sK43(sK9,sK8,sK0,sK11),sK9,sK9,sK11) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_6363,plain,
( perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,sK0,sK0),sK43(sK9,sK8,sK0,sK11),sK0,sK0)
| ~ coll(sK11,sK0,sK0)
| ~ perp(sK43(sK9,sK8,sK0,sK11),sK9,sK9,sK11) ),
inference(instantiation,[status(thm)],[c_6362]) ).
tcf(c_6934,plain,
( perp(sK11,sK0,sK43(sK0,sK16,sK23,sK11),sK0)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_7093,plain,
( perp(sK0,sK16,sK16,sK23)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_68,c_107]) ).
tcf(c_7491,plain,
! [X0: $i] :
( perp(sK11,sK0,sK0,X0)
| ~ perp(sK0,X0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_7492,plain,
( perp(sK11,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_7491]) ).
tcf(c_8430,plain,
! [X0: $i] :
( cong(sK0,X0,sK16,X0)
| ~ coll(sK11,sK0,sK23)
| ~ midp(X0,sK0,sK23) ),
inference(superposition,[status(thm)],[c_7093,c_149]) ).
tcf(c_8433,plain,
( perp(sK0,sK16,sK23,sK16)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_7093,c_151]) ).
tcf(c_8448,plain,
( cong(sK0,sK0,sK16,sK0)
| ~ midp(sK0,sK0,sK23)
| ~ coll(sK11,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_8430]) ).
tcf(c_9136,plain,
( coll(sK11,sK0,sK23)
| ~ coll(sK11,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_11888,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,X0)
| ~ coll(X0,sK1,X2)
| ~ coll(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_11893,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_11888]) ).
tcf(c_13392,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_138,c_118]) ).
tcf(c_13403,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13392]) ).
tcf(c_14868,plain,
! [X0: $i] :
( coll(sK11,sK23,sK0)
| ~ coll(sK0,X0,sK23)
| ~ coll(sK0,X0,sK11) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_14869,plain,
( coll(sK11,sK23,sK0)
| ~ coll(sK0,sK0,sK23)
| ~ coll(sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_14868]) ).
tcf(c_15851,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK11)
| ~ coll(sK11,X0,sK0)
| ~ coll(sK11,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_15852,plain,
( coll(sK0,sK0,sK11)
| ~ coll(sK11,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_15851]) ).
tcf(c_16162,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK16,sK23,sK0,sK23,sK16)
| ~ perp(sK11,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_68,c_111]) ).
tcf(c_20104,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK23,sK0,sK0,sK16,sK23,sK16)
| ~ perp(sK11,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16162,c_159]) ).
tcf(c_27097,plain,
( perp(sK23,sK16,sK0,sK16)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_8433,c_150]) ).
tcf(c_32975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X1)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_138,c_117]) ).
tcf(c_33112,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_32975]) ).
tcf(c_38542,plain,
( perp(sK0,sK16,sK16,sK23)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_68,c_107]) ).
tcf(c_39005,plain,
! [X0: $i] :
( cong(sK0,X0,sK16,X0)
| ~ coll(sK11,sK0,sK23)
| ~ midp(X0,sK0,sK23) ),
inference(superposition,[status(thm)],[c_38542,c_149]) ).
tcf(c_39311,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK16)
| ~ coll(sK11,sK0,sK23)
| ~ midp(X0,sK0,sK23) ),
inference(superposition,[status(thm)],[c_39005,c_156]) ).
tcf(c_39328,plain,
( cong(sK0,sK0,sK0,sK16)
| ~ midp(sK0,sK0,sK23)
| ~ coll(sK11,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_39311]) ).
tcf(c_46296,plain,
( coll(sK11,sK0,sK23)
| ~ midp(sK11,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_47873,plain,
! [X0: $i] :
( coll(sK11,sK23,sK0)
| cyclic(sK0,X0,sK11,sK23)
| ~ eqangle(sK11,sK0,sK11,X0,sK23,sK0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_47874,plain,
( coll(sK11,sK23,sK0)
| cyclic(sK0,sK0,sK11,sK23)
| ~ eqangle(sK11,sK0,sK11,sK0,sK23,sK0,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_47873]) ).
tcf(c_49709,plain,
! [X0: $i,X1: $i] :
( coll(sK11,X0,X1)
| ~ para(sK11,X0,sK11,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_49712,plain,
( coll(sK11,sK0,sK0)
| ~ para(sK11,sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_49709]) ).
tcf(c_51120,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK23)
| ~ para(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_51123,plain,
( coll(sK0,sK0,sK23)
| ~ para(sK0,sK0,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_51120]) ).
tcf(c_52616,plain,
! [X0: $i] :
( perp(sK0,X0,sK11,sK0)
| ~ perp(sK0,X0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_52617,plain,
( perp(sK0,sK0,sK11,sK0)
| ~ perp(sK0,sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_52616]) ).
tcf(c_62305,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK19)
| ~ coll(sK19,X0,X2)
| ~ coll(sK19,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_62306,plain,
( coll(sK0,sK0,sK19)
| ~ coll(sK19,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_62305]) ).
tcf(c_70732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK11,sK0,X2,X3)
| ~ perp(sK11,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_70733,plain,
( para(sK11,sK0,sK0,sK0)
| ~ perp(sK11,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_70732]) ).
tcf(c_70850,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,X0,sK0,sK11)
| ~ perp(X1,X2,sK0,sK11)
| ~ perp(sK0,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_70851,plain,
( para(sK0,sK0,sK0,sK11)
| ~ perp(sK0,sK0,sK0,sK11)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_70850]) ).
tcf(c_74181,plain,
! [X0: $i] :
( eqangle(sK11,sK0,sK11,X0,sK23,sK0,sK23,X0)
| ~ eqangle(sK11,sK0,sK23,sK0,sK11,X0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_74182,plain,
( eqangle(sK11,sK0,sK11,sK0,sK23,sK0,sK23,sK0)
| ~ eqangle(sK11,sK0,sK23,sK0,sK11,sK0,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_74181]) ).
tcf(c_74551,plain,
! [X0: $i] :
( perp(sK0,X0,sK23,sK0)
| ~ perp(sK0,sK16,sK23,sK16)
| ~ perp(sK11,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_20104,c_146]) ).
tcf(c_74570,plain,
( perp(sK0,sK0,sK23,sK0)
| ~ perp(sK11,sK0,sK0,sK0)
| ~ perp(sK0,sK16,sK23,sK16) ),
inference(instantiation,[status(thm)],[c_74551]) ).
tcf(c_86690,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK16,X1)
| ~ para(X0,sK16,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_86693,plain,
( coll(sK0,sK16,sK0)
| ~ para(sK0,sK16,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_86690]) ).
tcf(c_87893,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK19,X1)
| ~ coll(sK19,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_87894,plain,
( coll(sK0,sK19,sK0)
| ~ coll(sK19,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_87893]) ).
tcf(c_100688,plain,
! [X0: $i,X1: $i] :
( coll(sK19,X0,X1)
| ~ para(sK19,X0,sK19,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_100691,plain,
( coll(sK19,sK0,sK0)
| ~ para(sK19,sK0,sK19,sK0) ),
inference(instantiation,[status(thm)],[c_100688]) ).
tcf(c_117603,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK11)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11)
| ~ perp(X0,X1,sK43(sK0,sK16,sK23,sK11),sK0) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_120097,plain,
( para(sK0,sK11,sK0,sK11)
| ~ perp(sK0,sK11,sK43(sK0,sK16,sK23,sK11),sK0)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_117603]) ).
tcf(c_123329,plain,
! [X0: $i,X1: $i] :
( para(sK11,X0,sK11,X1)
| ~ para(sK11,X0,X1,sK11) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_123330,plain,
( para(sK11,sK0,sK11,sK0)
| ~ para(sK11,sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_123329]) ).
tcf(c_123455,plain,
( para(sK11,sK0,sK0,sK11)
| ~ perp(sK11,sK0,sK43(sK0,sK16,sK23,sK11),sK0)
| ~ perp(sK43(sK0,sK16,sK23,sK11),sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_117603]) ).
tcf(c_126603,plain,
! [X0: $i,X1: $i] :
( midp(sK11,X0,X1)
| ~ coll(sK11,X0,X1)
| ~ cong(sK11,X0,sK11,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_126604,plain,
( midp(sK11,sK0,sK0)
| ~ coll(sK11,sK0,sK0)
| ~ cong(sK11,sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_126603]) ).
tcf(c_128086,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK11,X1,sK11,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK11,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_128087,plain,
( cong(sK11,sK0,sK11,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK11,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_128086]) ).
tcf(c_129338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK11)
| ~ coll(X1,X3,sK11)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK11) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_129339,plain,
( midp(sK0,sK0,sK11)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK11)
| ~ para(sK0,sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_129338]) ).
tcf(c_131091,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,X0,X1),sK43(sK9,sK8,sK0,sK11))
| ~ perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,X0,X1),sK43(sK9,sK8,sK0,sK11),X0,X1) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_131092,plain,
( perp(sK0,sK0,sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,sK0,sK0),sK43(sK9,sK8,sK0,sK11))
| ~ perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,sK0,sK0),sK43(sK9,sK8,sK0,sK11),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_131091]) ).
tcf(c_133880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,X0,X1),sK43(sK9,sK8,sK0,sK11))
| ~ perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,X0,X1),sK43(sK9,sK8,sK0,sK11),X0,X1) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_133881,plain,
( para(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,sK0,sK0),sK43(sK9,sK8,sK0,sK11))
| ~ perp(sK32(sK43(sK9,sK8,sK0,sK11),sK11,sK9,sK0,sK0),sK43(sK9,sK8,sK0,sK11),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_133880]) ).
tcf(c_148513,plain,
! [X0: $i] :
( cyclic(sK16,sK17,sK18,sK19)
| ~ cyclic(X0,sK16,sK17,sK19)
| ~ cyclic(X0,sK16,sK17,sK18) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_148514,plain,
( cyclic(sK16,sK17,sK18,sK19)
| ~ cyclic(sK0,sK16,sK17,sK19)
| ~ cyclic(sK0,sK16,sK17,sK18) ),
inference(instantiation,[status(thm)],[c_148513]) ).
tcf(c_153241,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK16,sK17,sK19)
| ~ cyclic(X0,X1,sK16,sK19)
| ~ cyclic(X0,X1,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_153242,plain,
( cyclic(sK0,sK16,sK17,sK19)
| ~ cyclic(sK0,sK0,sK16,sK19)
| ~ cyclic(sK0,sK0,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_153241]) ).
tcf(c_153374,plain,
! [X0: $i,X1: $i] :
( midp(sK11,sK0,sK23)
| ~ midp(sK11,X0,X1)
| ~ para(X0,sK23,X1,sK0)
| ~ para(X0,sK0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_153375,plain,
( midp(sK11,sK0,sK23)
| ~ midp(sK11,sK0,sK0)
| ~ para(sK0,sK23,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_153374]) ).
tcf(c_154214,plain,
( perp(sK0,sK16,sK16,sK23)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_68,c_107]) ).
tcf(c_154688,plain,
( perp(sK0,sK16,sK23,sK16)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_154214,c_151]) ).
tcf(c_159563,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK11,X1)
| ~ midp(X0,X1,sK11) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_159564,plain,
( midp(sK0,sK11,sK0)
| ~ midp(sK0,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_159563]) ).
tcf(c_161823,plain,
! [X0: $i,X1: $i] :
( circle(sK11,sK0,X0,X1)
| ~ cong(sK11,sK0,sK11,X1)
| ~ cong(sK11,sK0,sK11,X0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_161824,plain,
( circle(sK11,sK0,sK0,sK0)
| ~ cong(sK11,sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_161823]) ).
tcf(c_162091,plain,
( perp(sK23,sK16,sK0,sK16)
| ~ coll(sK11,sK0,sK23) ),
inference(superposition,[status(thm)],[c_154688,c_150]) ).
tcf(c_162261,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK11)
| ~ cong(X0,sK11,X1,sK11)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_162262,plain,
( perp(sK0,sK0,sK0,sK11)
| ~ cong(sK0,sK11,sK0,sK11)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_162261]) ).
tcf(c_167843,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK16,sK19)
| ~ cong(X0,X1,X0,sK19)
| ~ cong(X0,X1,X0,sK16)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_167844,plain,
( cyclic(sK0,sK0,sK16,sK19)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK19)
| ~ cong(sK0,sK0,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_167843]) ).
tcf(c_174399,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK19)
| ~ midp(X0,X1,sK19) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_174400,plain,
( cong(sK0,sK0,sK0,sK19)
| ~ midp(sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_174399]) ).
tcf(c_180157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X1,X2,X4,sK19)
| ~ cyclic(X1,X2,X0,sK19)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,sK19) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_181225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK19)
| ~ coll(X1,X3,sK19)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK19) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_181226,plain,
( midp(sK0,sK0,sK19)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK19)
| ~ para(sK0,sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_181225]) ).
tcf(c_181899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK16,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK16,X2,X1)
| ~ para(X0,X1,X2,sK16) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_181900,plain,
( midp(sK0,sK16,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK16)
| ~ para(sK0,sK16,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_181899]) ).
tcf(c_182088,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK19)
| ~ coll(X0,sK19,X2)
| ~ eqangle(X0,X1,X0,X2,sK19,X1,sK19,X2) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_182089,plain,
( cyclic(sK0,sK0,sK0,sK19)
| ~ coll(sK0,sK19,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK19,sK0,sK19,sK0) ),
inference(instantiation,[status(thm)],[c_182088]) ).
tcf(c_182090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK19)
| ~ cyclic(X0,X1,X2,sK19)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_182092,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK19)
| ~ cyclic(X0,X1,X2,sK19) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_186711,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK19,X0,sK19,X0)
| ~ eqangle(sK19,X0,X1,X2,sK19,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_186712,plain,
( para(sK19,sK0,sK19,sK0)
| ~ eqangle(sK19,sK0,sK0,sK0,sK19,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_186711]) ).
tcf(c_187814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,sK19,X3)
| ~ cyclic(X0,X1,X2,sK19)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_187815,plain,
( cyclic(sK0,sK0,sK19,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_187814]) ).
tcf(c_189497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK16)
| ~ eqangle(X0,X1,X2,X3,X4,sK16,X2,X3) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_190098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK19)
| ~ perp(X2,X3,X4,sK19)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_190101,plain,
( para(sK0,sK0,sK0,sK19)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_190098]) ).
tcf(c_190501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK16,X2,X3)
| ~ perp(X4,sK16,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_190504,plain,
( para(sK0,sK16,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK16,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_190501]) ).
tcf(c_190545,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK19,X1,sK19,X2)
| ~ eqangle(X0,X1,sK19,X1,X0,X2,sK19,X2) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_190546,plain,
( eqangle(sK0,sK0,sK0,sK0,sK19,sK0,sK19,sK0)
| ~ eqangle(sK0,sK0,sK19,sK0,sK0,sK0,sK19,sK0) ),
inference(instantiation,[status(thm)],[c_190545]) ).
tcf(c_191125,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK16,X0,X1)
| ~ cong(X0,X1,sK16,X1)
| ~ cong(X0,X0,sK16,X0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_191126,plain,
( perp(sK0,sK16,sK0,sK0)
| ~ cong(sK0,sK0,sK16,sK0) ),
inference(instantiation,[status(thm)],[c_191125]) ).
tcf(c_191283,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,X0,X1,sK19,X2,X0,X2,sK19)
| ~ cyclic(X0,sK19,X1,X2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_191284,plain,
( eqangle(sK0,sK0,sK0,sK19,sK0,sK0,sK0,sK19)
| ~ cyclic(sK0,sK19,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_191283]) ).
tcf(c_191655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,sK19,X3,X2)
| ~ cyclic(X0,X1,sK19,X3)
| ~ cyclic(X0,X1,sK19,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_191656,plain,
( cyclic(sK0,sK19,sK0,sK0)
| ~ cyclic(sK0,sK0,sK19,sK0) ),
inference(instantiation,[status(thm)],[c_191655]) ).
tcf(c_191767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK16)
| ~ cong(X0,X1,X0,sK16)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_191768,plain,
( cyclic(sK0,sK0,sK0,sK16)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_191767]) ).
tcf(c_202932,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK19)
| ~ cong(X0,sK19,X2,sK19)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_202933,plain,
( perp(sK0,sK0,sK0,sK19)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK19,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_202932]) ).
tcf(c_206647,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK19,X2,X0,X1,sK19,X2,X0,X1)
| ~ eqangle(X0,X1,sK19,X2,X0,X1,sK19,X2) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_206648,plain,
( eqangle(sK19,sK0,sK0,sK0,sK19,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK19,sK0,sK0,sK0,sK19,sK0) ),
inference(instantiation,[status(thm)],[c_206647]) ).
tcf(c_207960,plain,
! [X0: $i] :
( para(X0,X0,X0,sK16)
| ~ eqangle(X0,X0,X0,sK16,X0,sK16,X0,sK16) ),
inference(instantiation,[status(thm)],[c_189497]) ).
tcf(c_207961,plain,
! [X0: $i] :
( eqangle(X0,X0,X0,sK16,X0,sK16,X0,sK16)
| ~ cong(X0,X0,X0,sK16) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_207962,plain,
( para(sK0,sK0,sK0,sK16)
| ~ eqangle(sK0,sK0,sK0,sK16,sK0,sK16,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_207960]) ).
tcf(c_207963,plain,
( eqangle(sK0,sK0,sK0,sK16,sK0,sK16,sK0,sK16)
| ~ cong(sK0,sK0,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_207961]) ).
tcf(c_216626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK23,X2,X3)
| ~ eqangle(sK0,sK23,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_216627,plain,
( para(sK0,sK23,sK0,sK0)
| ~ eqangle(sK0,sK23,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_216626]) ).
tcf(c_218767,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK0,sK23)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK23,X1,sK0)
| ~ para(X0,sK0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_218768,plain,
( midp(sK0,sK0,sK23)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK23,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_218767]) ).
tcf(c_219169,plain,
( perp(sK11,sK0,sK0,sK23)
| ~ cong(sK11,sK23,sK0,sK23)
| ~ cong(sK11,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_219413,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK11,sK11)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK11,X1,sK11) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_219414,plain,
( midp(sK0,sK11,sK11)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK11,sK0,sK11) ),
inference(instantiation,[status(thm)],[c_219413]) ).
tcf(c_219792,plain,
! [X0: $i] :
( eqangle(sK11,sK0,sK23,sK0,sK11,X0,sK23,sK0)
| ~ para(sK11,sK0,sK11,X0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_219793,plain,
( eqangle(sK11,sK0,sK23,sK0,sK11,sK0,sK23,sK0)
| ~ para(sK11,sK0,sK11,sK0) ),
inference(instantiation,[status(thm)],[c_219792]) ).
tcf(c_219863,plain,
! [X0: $i,X1: $i] :
( eqangle(sK11,sK0,sK0,sK23,X0,X1,sK0,sK23)
| ~ para(sK11,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_219865,plain,
( eqangle(sK11,sK0,sK0,sK23,sK0,sK0,sK0,sK23)
| ~ para(sK11,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_219863]) ).
tcf(c_221783,plain,
! [X0: $i,X1: $i] :
( cong(sK11,sK23,sK0,sK23)
| ~ cyclic(sK11,sK23,X0,sK23)
| ~ cyclic(sK11,sK23,X0,sK0)
| ~ cyclic(sK11,sK23,X0,X1)
| ~ eqangle(X0,sK11,X0,sK23,X1,sK0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_221784,plain,
( cong(sK11,sK23,sK0,sK23)
| ~ cyclic(sK11,sK23,sK0,sK23)
| ~ cyclic(sK11,sK23,sK0,sK0)
| ~ eqangle(sK0,sK11,sK0,sK23,sK0,sK0,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_221783]) ).
tcf(c_227186,plain,
! [X0: $i,X1: $i] :
( cyclic(sK11,sK23,X1,sK23)
| ~ cyclic(X0,sK11,sK23,sK23)
| ~ cyclic(X0,sK11,sK23,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_227187,plain,
( cyclic(sK11,sK23,sK0,sK23)
| ~ cyclic(sK0,sK11,sK23,sK23)
| ~ cyclic(sK0,sK11,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_227186]) ).
tcf(c_227381,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK19,X1,X0,X1,sK19,X1)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_227382,plain,
( eqangle(sK0,sK0,sK19,sK0,sK0,sK0,sK19,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_227381]) ).
tcf(c_230321,plain,
! [X0: $i] :
( cong(X0,sK11,X0,sK11)
| ~ midp(X0,sK11,sK11) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_230322,plain,
( cong(sK0,sK11,sK0,sK11)
| ~ midp(sK0,sK11,sK11) ),
inference(instantiation,[status(thm)],[c_230321]) ).
tcf(c_232998,plain,
! [X0: $i] :
( cyclic(sK0,sK11,sK23,X0)
| ~ cyclic(sK0,sK11,X0,sK23) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_232999,plain,
( cyclic(sK0,sK11,sK23,sK0)
| ~ cyclic(sK0,sK11,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_232998]) ).
tcf(c_233049,plain,
! [X0: $i,X1: $i] :
( cyclic(sK11,sK23,sK0,X1)
| ~ cyclic(X0,sK11,sK23,sK0)
| ~ cyclic(X0,sK11,sK23,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_233050,plain,
( cyclic(sK11,sK23,sK0,sK0)
| ~ cyclic(sK0,sK11,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_233049]) ).
tcf(c_233743,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK0,sK23,sK0,X1,X2,sK0,X2,X1)
| ~ perp(X0,sK0,sK0,sK23)
| ~ circle(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_233744,plain,
( eqangle(sK0,sK23,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK23)
| ~ circle(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_233743]) ).
tcf(c_236872,plain,
! [X0: $i] :
( cyclic(X0,sK11,sK0,sK23)
| ~ cyclic(X0,sK0,sK11,sK23) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_236873,plain,
( cyclic(sK0,sK11,sK0,sK23)
| ~ cyclic(sK0,sK0,sK11,sK23) ),
inference(instantiation,[status(thm)],[c_236872]) ).
tcf(c_237279,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK11,sK23,sK23)
| ~ cyclic(X0,X1,sK11,sK23) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_237280,plain,
( cyclic(sK0,sK11,sK23,sK23)
| ~ cyclic(sK0,sK0,sK11,sK23) ),
inference(instantiation,[status(thm)],[c_237279]) ).
tcf(c_238799,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK23)
| ~ perp(X0,X1,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_238800,plain,
( perp(sK0,sK0,sK0,sK23)
| ~ perp(sK0,sK0,sK23,sK0) ),
inference(instantiation,[status(thm)],[c_238799]) ).
tcf(c_240318,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,X0,sK0,sK23,X1,X0,X1,sK0)
| ~ eqangle(sK0,sK23,sK0,X0,X1,sK0,X1,X0) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_240319,plain,
( eqangle(sK0,sK0,sK0,sK23,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK23,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_240318]) ).
tcf(c_242355,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,sK19,X0,sK19)
| ~ cyclic(X1,sK19,X0,sK19)
| ~ cyclic(X1,sK19,X0,X2)
| ~ cyclic(X1,sK19,X0,X0)
| ~ eqangle(X0,X1,X0,sK19,X2,X0,X2,sK19) ),
inference(instantiation,[status(thm)],[c_180157]) ).
tcf(c_242357,plain,
( cong(sK0,sK19,sK0,sK19)
| ~ cyclic(sK0,sK19,sK0,sK0)
| ~ cyclic(sK0,sK19,sK0,sK19)
| ~ eqangle(sK0,sK0,sK0,sK19,sK0,sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_242355]) ).
tcf(c_243049,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK11,X0,sK23,X1,sK0,X1,sK23)
| ~ eqangle(sK11,X0,X0,sK23,X1,sK0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_243050,plain,
( eqangle(sK0,sK11,sK0,sK23,sK0,sK0,sK0,sK23)
| ~ eqangle(sK11,sK0,sK0,sK23,sK0,sK0,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_243049]) ).
tcf(c_243647,plain,
! [X0: $i] :
( cyclic(X0,sK19,X0,sK19)
| ~ cyclic(X0,X0,sK19,sK19) ),
inference(instantiation,[status(thm)],[c_182092]) ).
tcf(c_243648,plain,
( cyclic(sK0,sK19,sK0,sK19)
| ~ cyclic(sK0,sK0,sK19,sK19) ),
inference(instantiation,[status(thm)],[c_243647]) ).
tcf(c_246017,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,sK17,X1,X2)
| ~ cyclic(sK17,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_246018,plain,
( cyclic(sK0,sK17,sK0,sK0)
| ~ cyclic(sK17,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_246017]) ).
tcf(c_246353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK0,sK0,sK23)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK0,sK0,sK0,sK23,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_246354,plain,
( para(sK0,sK0,sK0,sK23)
| ~ para(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK23,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_246353]) ).
tcf(c_246356,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK0,sK0,sK23)
| ~ perp(sK0,sK0,X0,X1)
| ~ perp(X0,X1,sK0,sK23) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_246359,plain,
( para(sK0,sK0,sK0,sK23)
| ~ perp(sK0,sK0,sK0,sK23)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_246356]) ).
tcf(c_246966,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK17)
| ~ cyclic(X0,X1,sK17,X2) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_246967,plain,
( cyclic(sK0,sK0,sK0,sK17)
| ~ cyclic(sK0,sK0,sK17,sK0) ),
inference(instantiation,[status(thm)],[c_246966]) ).
tcf(c_247057,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,X1,sK19,sK19)
| ~ cyclic(X0,X1,X1,sK19) ),
inference(instantiation,[status(thm)],[c_182090]) ).
tcf(c_247058,plain,
( cyclic(sK0,sK0,sK19,sK19)
| ~ cyclic(sK0,sK0,sK0,sK19) ),
inference(instantiation,[status(thm)],[c_247057]) ).
tcf(c_248932,plain,
! [X0: $i] :
( cong(sK11,sK0,sK0,sK0)
| ~ midp(sK0,sK11,X0)
| ~ perp(sK11,sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_248933,plain,
( cong(sK11,sK0,sK0,sK0)
| ~ midp(sK0,sK11,sK0)
| ~ perp(sK11,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_248932]) ).
tcf(c_250170,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK23,sK0,X0,X1,sK0,X1,X0)
| ~ perp(sK11,sK0,sK0,sK23)
| ~ circle(sK11,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_233743]) ).
tcf(c_250171,plain,
( eqangle(sK0,sK23,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ perp(sK11,sK0,sK0,sK23)
| ~ circle(sK11,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_250170]) ).
tcf(c_258489,plain,
perp(sK23,sK16,sK0,sK16),
inference(global_subsumption_just,[status(thm)],[c_162091,c_58,c_172,c_174,c_899,c_1221,c_3711,c_4510,c_4772,c_4771,c_5549,c_6020,c_6363,c_6934,c_7492,c_9136,c_11893,c_13403,c_14869,c_15852,c_27097,c_33112,c_47874,c_49712,c_51123,c_52617,c_70733,c_70851,c_74182,c_120097,c_123330,c_123455,c_128087,c_129339,c_131092,c_133881,c_159564,c_161824,c_162262,c_219169,c_219414,c_219793,c_219865,c_221784,c_227187,c_230322,c_232999,c_233050,c_236873,c_237280,c_240319,c_243050,c_246354,c_248933,c_250171]) ).
tcf(c_258494,plain,
perp(sK0,sK16,sK23,sK16),
inference(superposition,[status(thm)],[c_258489,c_150]) ).
tcf(c_258713,plain,
! [X0: $i] :
( cyclic(X0,sK16,sK17,sK18)
| ~ coll(sK17,sK18,sK16)
| ~ eqangle(sK17,X0,sK17,sK16,sK18,X0,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_258717,plain,
! [X0: $i] :
( cyclic(X0,sK16,sK17,sK18)
| ~ cyclic(sK16,X0,sK17,sK18) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_258718,plain,
( cyclic(sK0,sK16,sK17,sK18)
| ~ cyclic(sK16,sK0,sK17,sK18) ),
inference(instantiation,[status(thm)],[c_258717]) ).
tcf(c_258730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK36(sK16,X3,X1,X2,X4,X0,sK17),sK16,sK17)
| ~ midp(X4,sK16,X3)
| ~ coll(X2,sK16,X3)
| ~ coll(X1,sK16,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_258732,plain,
( midp(sK36(sK16,sK0,sK0,sK0,sK0,sK0,sK17),sK16,sK17)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK0,sK16,sK0)
| ~ coll(sK0,sK16,sK0) ),
inference(instantiation,[status(thm)],[c_258730]) ).
tcf(c_258889,plain,
! [X0: $i] :
( cyclic(sK16,X0,sK17,sK18)
| ~ cyclic(sK16,sK17,X0,sK18) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_258890,plain,
( cyclic(sK16,sK0,sK17,sK18)
| ~ cyclic(sK16,sK17,sK0,sK18) ),
inference(instantiation,[status(thm)],[c_258889]) ).
tcf(c_258941,plain,
! [X0: $i] :
( midp(X0,sK17,sK16)
| ~ midp(X0,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_258951,plain,
! [X0: $i] :
( eqangle(sK17,X0,sK17,sK16,sK18,X0,sK18,sK16)
| ~ eqangle(sK17,X0,sK18,X0,sK17,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_159]) ).
tcf(c_259094,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK16,sK17)
| ~ cyclic(X0,X1,X2,sK17)
| ~ cyclic(X0,X1,X2,sK16) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_259095,plain,
( cyclic(sK0,sK0,sK16,sK17)
| ~ cyclic(sK0,sK0,sK0,sK17)
| ~ cyclic(sK0,sK0,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_259094]) ).
tcf(c_259096,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,X0,sK16,sK17)
| ~ cyclic(X0,X1,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_259099,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK16,sK17)
| ~ cyclic(X0,X1,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_259231,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK16,X2,sK17)
| ~ midp(X0,sK16,sK17)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_259348,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK16,X1,sK17)
| ~ cyclic(X0,X1,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_259881,plain,
! [X0: $i,X1: $i] :
( cyclic(sK16,sK17,X1,sK18)
| ~ cyclic(X0,sK16,sK17,sK18)
| ~ cyclic(X0,sK16,sK17,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_259911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),sK17,sK16)
| ~ midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),sK16,sK17) ),
inference(instantiation,[status(thm)],[c_258941]) ).
tcf(c_259912,plain,
( midp(sK36(sK16,sK0,sK0,sK0,sK0,sK0,sK17),sK17,sK16)
| ~ midp(sK36(sK16,sK0,sK0,sK0,sK0,sK0,sK17),sK16,sK17) ),
inference(instantiation,[status(thm)],[c_259911]) ).
tcf(c_260503,plain,
! [X0: $i,X1: $i] :
( coll(sK17,sK18,X0)
| cyclic(X0,X1,sK17,sK18)
| ~ eqangle(sK17,X0,sK17,X1,sK18,X0,sK18,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_260564,plain,
( eqangle(sK17,sK16,sK17,sK16,sK18,sK16,sK18,sK16)
| ~ eqangle(sK17,sK16,sK18,sK16,sK17,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_258951]) ).
tcf(c_260574,plain,
! [X0: $i] :
( eqangle(sK17,X0,sK18,X0,sK17,sK16,sK18,sK16)
| ~ eqangle(X0,sK17,sK18,X0,sK17,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_261355,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK17,sK16)
| ~ cyclic(X0,X1,X2,sK17)
| ~ cyclic(X0,X1,X2,sK16) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_261356,plain,
( cyclic(sK0,sK0,sK17,sK16)
| ~ cyclic(sK0,sK0,sK0,sK17)
| ~ cyclic(sK0,sK0,sK0,sK16) ),
inference(instantiation,[status(thm)],[c_261355]) ).
tcf(c_261358,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK17,sK16)
| ~ cyclic(X0,sK17,X1,sK16) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_261462,plain,
! [X0: $i,X1: $i] :
( para(X1,sK17,X0,sK16)
| ~ para(X0,sK16,X1,sK17) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_261575,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK16,sK17,X1)
| ~ cyclic(X0,sK16,X1,sK17) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_262098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( para(X5,sK16,X6,sK17)
| ~ midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),sK16,sK17)
| ~ midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),X5,X6) ),
inference(instantiation,[status(thm)],[c_259231]) ).
tcf(c_264419,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK17,X2,sK16)
| ~ cyclic(X0,X1,sK17,sK16)
| ~ cyclic(X0,X1,sK17,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_264601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK17,sK16,sK16,sK17)
| ~ midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),sK17,sK16)
| ~ midp(sK36(sK16,X0,X1,X2,X3,X4,sK17),sK16,sK17) ),
inference(instantiation,[status(thm)],[c_262098]) ).
tcf(c_264602,plain,
( para(sK17,sK16,sK16,sK17)
| ~ midp(sK36(sK16,sK0,sK0,sK0,sK0,sK0,sK17),sK17,sK16)
| ~ midp(sK36(sK16,sK0,sK0,sK0,sK0,sK0,sK17),sK16,sK17) ),
inference(instantiation,[status(thm)],[c_264601]) ).
tcf(c_269351,plain,
( eqangle(sK17,sK16,sK18,sK16,sK17,sK16,sK18,sK16)
| ~ eqangle(sK16,sK17,sK18,sK16,sK17,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_260574]) ).
tcf(c_269352,plain,
( eqangle(sK16,sK17,sK18,sK16,sK17,sK16,sK18,sK16)
| ~ para(sK16,sK17,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_272312,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK17,X2)
| ~ cyclic(X0,sK17,X1,X2) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_272313,plain,
( cyclic(sK0,sK0,sK17,sK0)
| ~ cyclic(sK0,sK17,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_272312]) ).
tcf(c_282367,plain,
( para(sK16,sK17,sK17,sK16)
| ~ para(sK17,sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_261462]) ).
tcf(c_283747,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK17,X1,X0,X2)
| ~ coll(X0,X2,X1)
| ~ eqangle(X0,sK17,X0,X1,X2,sK17,X2,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_283748,plain,
( cyclic(sK17,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK17,sK0,sK0,sK0,sK17,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_283747]) ).
tcf(c_283860,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK17,X0,X1,X2,sK17,X2,X1)
| ~ eqangle(X0,X1,X0,sK17,X2,X1,X2,sK17) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_283861,plain,
( eqangle(sK0,sK17,sK0,sK0,sK0,sK17,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK17,sK0,sK0,sK0,sK17) ),
inference(instantiation,[status(thm)],[c_283860]) ).
tcf(c_286562,plain,
! [X0: $i] :
( cyclic(sK16,X0,sK16,sK17)
| ~ cyclic(X0,sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_259096]) ).
tcf(c_286563,plain,
( cyclic(sK16,sK0,sK16,sK17)
| ~ cyclic(sK0,sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_286562]) ).
tcf(c_287093,plain,
! [X0: $i] :
( cyclic(sK16,sK16,sK17,X0)
| ~ cyclic(sK16,sK16,X0,sK17) ),
inference(instantiation,[status(thm)],[c_261575]) ).
tcf(c_287094,plain,
( cyclic(sK16,sK16,sK17,sK0)
| ~ cyclic(sK16,sK16,sK0,sK17) ),
inference(instantiation,[status(thm)],[c_287093]) ).
tcf(c_288012,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK17,sK16,sK16)
| ~ cyclic(X0,X1,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_264419]) ).
tcf(c_288013,plain,
( cyclic(sK0,sK17,sK16,sK16)
| ~ cyclic(sK0,sK0,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_288012]) ).
tcf(c_289681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,sK17,X2,X3,X2,sK17)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_289682,plain,
( eqangle(sK0,sK0,sK0,sK17,sK0,sK0,sK0,sK17)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_289681]) ).
tcf(c_290131,plain,
! [X0: $i] :
( cyclic(X0,sK16,sK16,sK17)
| ~ cyclic(X0,sK16,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_259099]) ).
tcf(c_290133,plain,
( cyclic(sK0,sK16,sK16,sK17)
| ~ cyclic(sK0,sK16,sK17,sK16) ),
inference(instantiation,[status(thm)],[c_290131]) ).
tcf(c_290334,plain,
! [X0: $i] :
( cyclic(sK16,sK16,X0,sK17)
| ~ cyclic(sK16,X0,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_259348]) ).
tcf(c_290336,plain,
( cyclic(sK16,sK16,sK0,sK17)
| ~ cyclic(sK16,sK0,sK16,sK17) ),
inference(instantiation,[status(thm)],[c_290334]) ).
tcf(c_290558,plain,
! [X0: $i] :
( cyclic(X0,sK16,sK17,sK16)
| ~ cyclic(X0,sK17,sK16,sK16) ),
inference(instantiation,[status(thm)],[c_261358]) ).
tcf(c_290559,plain,
( cyclic(sK0,sK16,sK17,sK16)
| ~ cyclic(sK0,sK17,sK16,sK16) ),
inference(instantiation,[status(thm)],[c_290558]) ).
tcf(c_295081,plain,
( cyclic(sK16,sK16,sK17,sK18)
| ~ coll(sK17,sK18,sK16)
| ~ eqangle(sK17,sK16,sK17,sK16,sK18,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_258713]) ).
tcf(c_295085,plain,
( coll(sK17,sK18,sK16)
| cyclic(sK16,sK16,sK17,sK18)
| ~ eqangle(sK17,sK16,sK17,sK16,sK18,sK16,sK18,sK16) ),
inference(instantiation,[status(thm)],[c_260503]) ).
tcf(c_297086,plain,
! [X0: $i] :
( cyclic(sK16,sK17,X0,sK18)
| ~ cyclic(sK16,sK16,sK17,sK18)
| ~ cyclic(sK16,sK16,sK17,X0) ),
inference(instantiation,[status(thm)],[c_259881]) ).
tcf(c_297093,plain,
( cyclic(sK16,sK17,sK0,sK18)
| ~ cyclic(sK16,sK16,sK17,sK0)
| ~ cyclic(sK16,sK16,sK17,sK18) ),
inference(instantiation,[status(thm)],[c_297086]) ).
tcf(c_297094,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_297093,c_295085,c_295081,c_290559,c_290336,c_290133,c_289682,c_288013,c_287094,c_286563,c_283861,c_283748,c_282367,c_272313,c_269352,c_269351,c_264602,c_261356,c_260564,c_259912,c_259095,c_258890,c_258732,c_258718,c_258494,c_247058,c_246967,c_246359,c_246018,c_243648,c_242357,c_238800,c_233744,c_230322,c_227382,c_219414,c_218768,c_216627,c_207963,c_207962,c_206648,c_202933,c_191768,c_191656,c_191284,c_191126,c_190546,c_190504,c_190101,c_187815,c_186712,c_182089,c_181900,c_181226,c_174400,c_167844,c_162262,c_153375,c_153242,c_148514,c_133881,c_131092,c_128087,c_126604,c_123455,c_123330,c_120097,c_100691,c_87894,c_86693,c_74570,c_62306,c_52617,c_49712,c_46296,c_39328,c_33112,c_13403,c_11893,c_8448,c_7492,c_6934,c_6363,c_6020,c_5549,c_4771,c_4772,c_4510,c_3711,c_1221,c_899,c_176,c_174,c_172,c_49,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO640+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/10.60 % Computer : n016.cluster.edu
% 0.02/10.60 % Model : x86_64 x86_64
% 0.02/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/10.60 % Memory : 8046.5625MB
% 0.02/10.60 % OS : Linux 6.8.0-71-generic
% 0.02/10.60 % CPULimit : 300
% 0.02/10.60 % WCLimit : 300
% 0.02/10.60 % DateTime : Wed Sep 23 12:43:07 UTC 2026
% 0.02/10.60 % CPUTime :
% 0.02/10.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/10.64 Running first-order theorem proving
% 0.02/10.64 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
% 0.02/10.65
% 0.02/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.02/10.65
% 0.02/10.65 % Detected problem language: tptp
% 0.02/10.66 % Proving...
% 211.42/39.25 % SZS status Started for theBenchmark.p
% 211.42/39.25 % SZS status Theorem for theBenchmark.p
% 211.42/39.25
% 211.42/39.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 211.42/39.25
% 211.42/39.25 % ------ iProver source info
% 211.42/39.25
% 211.42/39.25 % git: date: 2026-07-19 20:42:38 +0200
% 211.42/39.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 211.42/39.25 % git: non_committed_changes: false
% 211.42/39.25
% 211.42/39.25 % ------ Parsing...
% 211.42/39.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 211.42/39.25
% 211.42/39.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 211.42/39.25
% 211.42/39.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 211.42/39.25 % ------ Proving...
% 211.42/39.25 % ------ Problem Properties
% 211.42/39.25
% 211.42/39.25 %
% 211.42/39.25 % clauses 113
% 211.42/39.25 % conjectures 26
% 211.42/39.25 % EPR 80
% 211.42/39.25 % Horn 108
% 211.42/39.25 % unary 26
% 211.42/39.25 % binary 24
% 211.42/39.25 % lits 282
% 211.42/39.25 % lits eq 0
% 211.42/39.25 % fd_pure 0
% 211.42/39.25 % fd_pseudo 0
% 211.42/39.25 % fd_cond 0
% 211.42/39.25 % fd_pseudo_cond 0
% 211.42/39.25 % AC symbols 0
% 211.42/39.25
% 211.42/39.25 % ------ Schedule dynamic 5 is on
% 211.42/39.25
% 211.42/39.25 % ------ no equalities: superposition off
% 211.42/39.25
% 211.42/39.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 % ------
% 211.42/39.25 % Current options:
% 211.42/39.25 % ------
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 %
% 211.42/39.25
% 211.42/39.25 % ------ Proving...
% 211.42/39.25 % Proof_search_loop: time out after: 9331 full_loop iterations
% 211.42/39.25
% 211.42/39.25 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 % ------
% 211.42/39.25 % Current options:
% 211.42/39.25 % ------
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 %
% 211.42/39.25
% 211.42/39.25 % ------ Proving...
% 211.42/39.25 % Proof_search_loop: time out after: 11056 full_loop iterations
% 211.42/39.25
% 211.42/39.25 % ------ Option_1: Negative Selections Time Limit: 35.
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 % ------
% 211.42/39.25 % Current options:
% 211.42/39.25 % ------
% 211.42/39.25
% 211.42/39.25
% 211.42/39.25 %
% 211.42/39.25
% 211.42/39.25 % ------ Proving...
% 211.42/39.25 %
% 211.42/39.25
% 211.42/39.25 % SZS status Theorem for theBenchmark.p
% 211.42/39.25
% 211.42/39.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 211.42/39.25
% 211.42/39.25
%------------------------------------------------------------------------------