%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO561+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:28 PM UTC 2026
% Result : Theorem 37.85s 10.98s
% Output : CNFRefutation 37.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 30
% Syntax : Number of formulae : 266 ( 13 unt; 0 def)
% Number of atoms : 742 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 843 ( 367 ~; 361 |; 84 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 1 ( 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 : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 923 ( 0 sgn 899 !; 24 ?; 313 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214022) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f113,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(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,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(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,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(f123,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(f124,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(f125,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(f126,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(f127,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,[],[f126]) ).
fof(f148,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(f149,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(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,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(f154,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,[],[f153]) ).
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(f159,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(f160,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,[],[f159]) ).
fof(f164,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(f165,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,[],[f164]) ).
fof(f168,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(f169,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,[],[f168]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,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(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,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(f183,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,[],[f182]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f210,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(f211,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,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X6,X7)
& coll(X9,X0,X1)
& coll(X8,X6,X7)
& coll(X8,X0,X2)
& circle(X3,X0,X7,X11)
& coll(X7,X3,X5)
& circle(X3,X0,X6,X10)
& coll(X6,X3,X4)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK29,sK26,sK27)
& coll(sK29,sK20,sK21)
& coll(sK28,sK26,sK27)
& coll(sK28,sK20,sK22)
& circle(sK23,sK20,sK27,sK31)
& coll(sK27,sK23,sK25)
& circle(sK23,sK20,sK26,sK30)
& coll(sK26,sK23,sK24)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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,[],[f109]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,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,[],[f122]) ).
fof(f289,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,[],[f123]) ).
fof(f290,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,[],[f124]) ).
fof(f291,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,[],[f125]) ).
fof(f292,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,[],[f127]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,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,[],[f154]) ).
fof(f314,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(f316,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,[],[f160]) ).
fof(f319,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,[],[f165]) ).
fof(f321,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,[],[f169]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f328,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,[],[f183]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f344,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,[],[f209]) ).
fof(f345,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,[],[f211]) ).
fof(f385,plain,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK28,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,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,[],[f279]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_66,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,[],[f288]) ).
tcf(c_67,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,[],[f289]) ).
tcf(c_68,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,[],[f290]) ).
tcf(c_69,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,[],[f291]) ).
tcf(c_70,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(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_87,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,[],[f309]) ).
tcf(c_88,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,[],[f310]) ).
tcf(c_89,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,[],[f311]) ).
tcf(c_91,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,[],[f313]) ).
tcf(c_92,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,[],[f314]) ).
tcf(c_94,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,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_99,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,[],[f321]) ).
tcf(c_101,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,[],[f323]) ).
tcf(c_104,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,[],[f326]) ).
tcf(c_105,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,[],[f327]) ).
tcf(c_106,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,[],[f328]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_122,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,[],[f344]) ).
tcf(c_123,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,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20),
inference(cnf_transformation,[],[f397]) ).
tcf(c_164,negated_conjecture,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f395]) ).
tcf(c_165,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f394]) ).
tcf(c_172,negated_conjecture,
coll(sK28,sK20,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_174,negated_conjecture,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f385]) ).
tcf(c_181,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_185,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_190,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_191,plain,
( circle(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_239,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_281,plain,
( coll(sK24,sK22,sK20)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_285,plain,
( coll(sK28,sK22,sK20)
| ~ coll(sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_287,plain,
( coll(sK29,sK21,sK20)
| ~ coll(sK29,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_295,plain,
( coll(sK20,sK24,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_311,plain,
( perp(sK20,sK22,sK24,sK23)
| ~ perp(sK24,sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(sK24,sK23,sK20,sK22)
| ~ perp(X0,X1,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_407,plain,
! [X0: $i] :
( coll(X0,sK20,sK24)
| ~ coll(sK24,sK22,sK20)
| ~ coll(sK24,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_408,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_435,plain,
! [X0: $i] :
( coll(X0,sK20,sK28)
| ~ coll(sK28,sK22,sK20)
| ~ coll(sK28,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_436,plain,
( coll(sK20,sK20,sK28)
| ~ coll(sK28,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_447,plain,
! [X0: $i] :
( coll(X0,sK20,sK29)
| ~ coll(sK29,sK21,sK20)
| ~ coll(sK29,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_448,plain,
( coll(sK20,sK20,sK29)
| ~ coll(sK29,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_459,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK24,sK22)
| ~ coll(sK20,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_460,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK24,sK22)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_597,plain,
coll(sK20,sK28,sK22),
inference(superposition,[status(thm)],[c_172,c_50]) ).
tcf(c_825,plain,
( para(sK20,sK22,sK20,sK22)
| ~ perp(sK24,sK23,sK20,sK22)
| ~ perp(sK20,sK22,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_343]) ).
tcf(c_1090,plain,
coll(sK20,sK22,sK28),
inference(superposition,[status(thm)],[c_597,c_49]) ).
tcf(c_1631,plain,
! [X0: $i] :
( coll(sK28,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_1090,c_51]) ).
tcf(c_1634,plain,
( coll(sK28,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_1631]) ).
tcf(c_1729,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_1731,plain,
( eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_1729]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK22,sK20,sK22)
| ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_1738,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_1737]) ).
tcf(c_1791,plain,
! [X0: $i] :
( coll(X0,sK24,sK20)
| ~ coll(X0,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1792,plain,
( coll(sK20,sK24,sK20)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1791]) ).
tcf(c_3739,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,X0)
| ~ coll(X0,sK22,sK20)
| ~ coll(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3740,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_3739]) ).
tcf(c_5876,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1)
| ~ eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_5882,plain,
( eqangle(sK20,sK22,sK20,sK22,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5876]) ).
tcf(c_7231,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_88]) ).
tcf(c_7232,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7231]) ).
tcf(c_10015,plain,
( eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20)
| ~ eqangle(sK29,sK20,sK29,sK28,sK29,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_10180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK22,sK20,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_10181,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK22,sK20,sK22,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10180]) ).
tcf(c_11473,plain,
( eqangle(sK29,sK20,sK29,sK28,sK29,sK28,sK28,sK20)
| ~ eqangle(sK29,sK28,sK28,sK20,sK29,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_15545,plain,
( eqangle(sK29,sK28,sK28,sK20,sK29,sK20,sK29,sK28)
| ~ eqangle(sK28,sK29,sK28,sK20,sK29,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_19847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK29,sK28,sK28,sK20,X0,X1,X2,X3)
| ~ eqangle(sK28,sK29,sK28,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_19848,plain,
( eqangle(sK29,sK28,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK28,sK29,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19847]) ).
tcf(c_27441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK28,sK29,sK28,sK28,sK20,sK29,sK28)
| ~ eqangle(sK20,sK28,sK29,sK28,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK28,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_27442,plain,
( eqangle(sK20,sK28,sK29,sK28,sK28,sK20,sK29,sK28)
| ~ eqangle(sK20,sK28,sK29,sK28,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_27441]) ).
tcf(c_31715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK29,X2,X3)
| ~ eqangle(sK20,sK29,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_31999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK28,sK29,sK28,sK20,sK29,sK20,sK29,sK28)
| ~ eqangle(sK28,sK29,sK28,sK20,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK29,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_32544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK29,X0,X1,X2,X3,X0,X1)
| ~ eqangle(X0,X1,sK20,sK29,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_32552,plain,
! [X0: $i] :
( para(sK20,sK29,sK20,sK29)
| ~ eqangle(sK20,sK29,sK20,X0,sK20,sK29,sK20,X0) ),
inference(instantiation,[status(thm)],[c_31715]) ).
tcf(c_32554,plain,
( para(sK20,sK29,sK20,sK29)
| ~ eqangle(sK20,sK29,sK20,sK20,sK20,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32552]) ).
tcf(c_32557,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK29,sK20,X1,sK20,sK20,sK20,X1)
| ~ perp(X0,sK20,sK20,sK29)
| ~ circle(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_32558,plain,
( eqangle(sK20,sK29,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_32557]) ).
tcf(c_33009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK28,sK20,sK29,sK28,X2,X3,X0,X1)
| ~ eqangle(sK29,sK28,sK28,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_33010,plain,
( eqangle(sK28,sK20,sK29,sK28,sK20,sK20,sK20,sK20)
| ~ eqangle(sK29,sK28,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33009]) ).
tcf(c_33132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK28,sK29,sK28,sK20,X4,X5,X6,X7)
| ~ eqangle(sK28,sK29,sK28,sK20,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_33138,plain,
! [X0: $i] :
( eqangle(sK28,sK29,sK28,sK20,X0,sK29,X0,sK20)
| ~ cyclic(sK29,sK20,sK28,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_33140,plain,
( eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20)
| ~ cyclic(sK29,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_33138]) ).
tcf(c_33285,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK20,X0,X1,sK29,sK20,sK29,sK28)
| ~ midp(sK28,sK20,X1)
| ~ circle(sK29,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_33286,plain,
( eqangle(sK20,sK20,sK20,sK20,sK29,sK20,sK29,sK28)
| ~ midp(sK28,sK20,sK20)
| ~ circle(sK29,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33285]) ).
tcf(c_33680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( eqangle(sK20,sK29,X8,X9,X4,X5,X6,X7)
| ~ eqangle(sK20,sK29,X8,X9,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_33871,plain,
! [X0: $i,X1: $i,X2: $i] :
( circle(sK29,X0,X2,X1)
| ~ cong(sK29,X0,sK29,X2)
| ~ cong(sK29,X0,sK29,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_33872,plain,
( circle(sK29,sK20,sK20,sK20)
| ~ cong(sK29,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_33871]) ).
tcf(c_34603,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK28,sK28,sK20)
| ~ eqangle(sK20,sK28,X0,X1,sK28,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_34826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK28,X3,X2)
| ~ coll(sK28,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK28,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_34827,plain,
( midp(sK28,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK28,sK20,sK20)
| ~ para(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34826]) ).
tcf(c_35033,plain,
! [X0: $i] :
( cyclic(sK29,sK20,sK28,X0)
| ~ cyclic(sK29,sK28,sK20,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_35034,plain,
( cyclic(sK29,sK20,sK28,sK20)
| ~ cyclic(sK29,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35033]) ).
tcf(c_35246,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK20,sK28,sK20)
| ~ midp(sK20,X0,X1)
| ~ perp(X0,sK28,sK28,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_35247,plain,
( cong(sK20,sK20,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_35246]) ).
tcf(c_36101,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,sK29,X0,X1)
| ~ coll(X0,X1,sK29)
| ~ eqangle(X0,sK20,X0,sK29,X1,sK20,X1,sK29) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_36102,plain,
( cyclic(sK20,sK29,sK20,sK20)
| ~ coll(sK20,sK20,sK29)
| ~ eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_36101]) ).
tcf(c_36126,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK29)
| ~ cong(X0,sK29,X1,sK29)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_36127,plain,
( perp(sK20,sK20,sK20,sK29)
| ~ cong(sK20,sK29,sK20,sK29)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36126]) ).
tcf(c_36964,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK29,X1,sK29,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK29,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_36965,plain,
( cong(sK29,sK20,sK29,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK29,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36964]) ).
tcf(c_37123,plain,
! [X0: $i,X1: $i] :
( cyclic(sK29,sK28,X0,X1)
| ~ coll(X0,X1,sK28)
| ~ eqangle(X0,sK29,X0,sK28,X1,sK29,X1,sK28) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_37124,plain,
( cyclic(sK29,sK28,sK20,sK20)
| ~ coll(sK20,sK20,sK28)
| ~ eqangle(sK20,sK29,sK20,sK28,sK20,sK29,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_37123]) ).
tcf(c_37174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK28,sK28,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_37177,plain,
( perp(sK20,sK28,sK28,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37174]) ).
tcf(c_37346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK28,sK29,sK28,X0,X1,X2,X3)
| ~ eqangle(sK28,sK20,sK29,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_37347,plain,
( eqangle(sK20,sK28,sK29,sK28,sK20,sK20,sK20,sK20)
| ~ eqangle(sK28,sK20,sK29,sK28,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37346]) ).
tcf(c_38261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK28,sK20,sK29,sK28)
| ~ eqangle(sK28,sK20,sK29,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_38262,plain,
( eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK29,sK28)
| ~ eqangle(sK28,sK20,sK29,sK28,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38261]) ).
tcf(c_38294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,sK29,X3,X4,X1,X2,X3,X4)
| ~ para(X0,sK29,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_39159,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK29,X0,X1,sK20,sK29,X0,X1)
| ~ eqangle(X0,X1,sK20,sK29,X0,X1,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_32544]) ).
tcf(c_39160,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK20,sK29,X0,X1,sK20,sK29)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_39161,plain,
( eqangle(sK20,sK29,sK20,sK20,sK20,sK29,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_39159]) ).
tcf(c_39162,plain,
( eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39160]) ).
tcf(c_39201,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,X1,sK29)
| ~ cyclic(sK20,X0,sK29,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_39202,plain,
( cyclic(sK20,sK20,sK20,sK29)
| ~ cyclic(sK20,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_39201]) ).
tcf(c_39204,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK20,X1,X2,sK29)
| ~ cyclic(X0,sK20,X1,sK29)
| ~ cyclic(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_42797,plain,
! [X0: $i,X1: $i] :
( perp(sK29,sK20,sK20,X0)
| ~ cong(sK20,sK29,X1,sK29)
| ~ cyclic(sK20,X1,sK29,X0)
| ~ cong(sK20,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_42798,plain,
( perp(sK29,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK29,sK20)
| ~ cong(sK20,sK29,sK20,sK29)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42797]) ).
tcf(c_42810,plain,
! [X0: $i] :
( cyclic(X0,sK29,sK20,sK29)
| ~ cyclic(X0,sK20,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_42811,plain,
( cyclic(sK20,sK29,sK20,sK29)
| ~ cyclic(sK20,sK20,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_42810]) ).
tcf(c_43033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK28,X2,X3)
| ~ perp(sK20,sK28,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_43034,plain,
( para(sK20,sK28,sK20,sK20)
| ~ perp(sK20,sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43033]) ).
tcf(c_43051,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK28,X0,X1,sK28,sK20,X0,X1)
| ~ para(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_43052,plain,
( eqangle(sK20,sK28,sK20,sK20,sK28,sK20,sK20,sK20)
| ~ para(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_43051]) ).
tcf(c_43073,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK28,X0,X1)
| ~ cong(sK20,X1,sK28,X1)
| ~ cong(sK20,X0,sK28,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_43074,plain,
( perp(sK20,sK28,sK20,sK20)
| ~ cong(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_43073]) ).
tcf(c_43419,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK29,X1)
| ~ cyclic(sK20,sK29,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_43420,plain,
( cyclic(sK20,sK20,sK29,sK20)
| ~ cyclic(sK20,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43419]) ).
tcf(c_46844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK29,X3,sK29)
| ~ cyclic(X1,sK29,X0,sK29)
| ~ cyclic(X1,sK29,X0,X3)
| ~ cyclic(X1,sK29,X0,X2)
| ~ eqangle(X0,X1,X0,sK29,X2,X3,X2,sK29) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_46845,plain,
( cong(sK20,sK29,sK20,sK29)
| ~ cyclic(sK20,sK29,sK20,sK29)
| ~ cyclic(sK20,sK29,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK29,sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_46844]) ).
tcf(c_48070,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X1,sK29,sK29)
| ~ cyclic(X0,sK20,X1,sK29) ),
inference(instantiation,[status(thm)],[c_39204]) ).
tcf(c_48071,plain,
( cyclic(sK20,sK20,sK29,sK29)
| ~ cyclic(sK20,sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_48070]) ).
tcf(c_48218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK28,sK28,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK28,X0,X1,sK28,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_48219,plain,
( eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK28,sK20,sK20,sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48218]) ).
tcf(c_55781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK28,sK29,sK28,sK20,X0,X1,X2,X3)
| ~ eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20)
| ~ eqangle(sK20,sK29,sK20,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_33132]) ).
tcf(c_55782,plain,
( eqangle(sK28,sK29,sK28,sK20,sK29,sK20,sK29,sK28)
| ~ eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20)
| ~ eqangle(sK20,sK29,sK20,sK20,sK29,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_31999]) ).
tcf(c_55785,plain,
( eqangle(sK28,sK29,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK28,sK29,sK28,sK20,sK20,sK29,sK20,sK20)
| ~ eqangle(sK20,sK29,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_55781]) ).
tcf(c_61810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK20,sK29,X0,X1,sK29,sK20,sK29,sK28)
| ~ eqangle(X2,X3,X4,X5,sK29,sK20,sK29,sK28)
| ~ eqangle(sK20,sK29,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_33680]) ).
tcf(c_61811,plain,
( eqangle(sK20,sK29,sK20,sK20,sK29,sK20,sK29,sK28)
| ~ eqangle(sK20,sK29,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK29,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_61810]) ).
tcf(c_73822,plain,
! [X0: $i] :
( eqangle(X0,sK29,X0,sK28,X0,sK29,X0,sK28)
| ~ para(X0,sK29,X0,sK29) ),
inference(instantiation,[status(thm)],[c_38294]) ).
tcf(c_73823,plain,
( eqangle(sK20,sK29,sK20,sK28,sK20,sK29,sK20,sK28)
| ~ para(sK20,sK29,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_73822]) ).
tcf(c_78541,plain,
( para(sK20,sK28,sK28,sK20)
| ~ eqangle(sK20,sK28,sK29,sK28,sK28,sK20,sK29,sK28) ),
inference(instantiation,[status(thm)],[c_34603]) ).
tcf(c_78542,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_78541,c_73823,c_61811,c_55785,c_55782,c_48219,c_48071,c_46845,c_43420,c_43074,c_43052,c_43034,c_42811,c_42798,c_39202,c_39162,c_39161,c_38262,c_37347,c_37177,c_37124,c_36965,c_36127,c_36102,c_35247,c_35034,c_34827,c_33872,c_33286,c_33140,c_33010,c_32558,c_32554,c_27442,c_19848,c_15545,c_11473,c_10181,c_10015,c_7232,c_5882,c_3740,c_1792,c_1738,c_1731,c_1634,c_825,c_460,c_448,c_436,c_408,c_311,c_295,c_287,c_285,c_281,c_239,c_191,c_190,c_185,c_181,c_162,c_164,c_165,c_172,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO561+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Sep 23 12:24:05 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.41 Running first-order theorem proving
% 0.04/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.42
% 0.04/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.42
% 0.04/0.42 % Detected problem language: tptp
% 0.04/0.44 % Proving...
% 37.85/10.98 % SZS status Started for theBenchmark.p
% 37.85/10.98 % SZS status Theorem for theBenchmark.p
% 37.85/10.98
% 37.85/10.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.85/10.98
% 37.85/10.98 % ------ iProver source info
% 37.85/10.98
% 37.85/10.98 % git: date: 2026-07-19 20:42:38 +0200
% 37.85/10.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.85/10.98 % git: non_committed_changes: false
% 37.85/10.98
% 37.85/10.98 % ------ Parsing...
% 37.85/10.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.85/10.98
% 37.85/10.98 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 37.85/10.98
% 37.85/10.98 % ------ Preprocessing...%
% 37.85/10.98
% 37.85/10.98 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.85/10.98 % ------ Proving...
% 37.85/10.98 % ------ Problem Properties
% 37.85/10.98
% 37.85/10.98 %
% 37.85/10.98 % clauses 126
% 37.85/10.98 % conjectures 14
% 37.85/10.98 % EPR 89
% 37.85/10.98 % Horn 116
% 37.85/10.98 % unary 14
% 37.85/10.98 % binary 37
% 37.85/10.98 % lits 342
% 37.85/10.98 % lits eq 4
% 37.85/10.98 % fd_pure 0
% 37.85/10.98 % fd_pseudo 0
% 37.85/10.98 % fd_cond 0
% 37.85/10.98 % fd_pseudo_cond 4
% 37.85/10.98 % AC symbols 0
% 37.85/10.98
% 37.85/10.98 % ------ Input Options Time Limit: Unbounded
% 37.85/10.98
% 37.85/10.98
% 37.85/10.98 % ------
% 37.85/10.98 % Current options:
% 37.85/10.98 % ------
% 37.85/10.98
% 37.85/10.98
% 37.85/10.98 %
% 37.85/10.98
% 37.85/10.98 % ------ Proving...
% 37.85/10.98 %
% 37.85/10.98
% 37.85/10.98 % SZS status Theorem for theBenchmark.p
% 37.85/10.98
% 37.85/10.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.85/10.99
% 37.85/10.99
%------------------------------------------------------------------------------