%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO660+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 : n009.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 01:21:47 PM UTC 2026
% Result : Theorem 65.07s 11.13s
% Output : CNFRefutation 65.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 40
% Syntax : Number of formulae : 440 ( 125 unt; 0 def)
% Number of atoms : 979 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 973 ( 434 ~; 428 |; 70 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1057 ( 0 sgn1043 !; 14 ?; 317 :)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/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] :
( ( coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> para(X4,X5,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> para(X4,X5,X2,X1) ),
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(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
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(f115,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(f116,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,[],[f115]) ).
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(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
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(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(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
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(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(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
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(f193,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(f194,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,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
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(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
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] :
( coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ para(X4,X5,X2,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X0,X4)
& coll(X6,X1,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& coll(X5,X0,X1)
& coll(X4,X2,X3)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ para(X4,X5,X2,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK26,sK20,sK24)
& coll(sK26,sK21,sK22)
& eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22)
& coll(sK25,sK20,sK21)
& coll(sK24,sK22,sK23)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21)
& perp(sK22,sK20,sK22,sK21)
& ~ para(sK24,sK25,sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
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(f283,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,[],[f116]) ).
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(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
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(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
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(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(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
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(f335,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,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
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(f384,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK24,sK25,sK22,sK21),
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_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
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_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
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_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
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_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
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_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
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_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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
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_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_102,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,[],[f324]) ).
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_113,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,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
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_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
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,
~ para(sK24,sK25,sK22,sK21),
inference(cnf_transformation,[],[f393]) ).
tcf(c_163,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f392]) ).
tcf(c_164,negated_conjecture,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_166,negated_conjecture,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f389]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_168,negated_conjecture,
eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_169,negated_conjecture,
eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_171,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4293,negated_conjecture,
coll(sK26,sK20,sK24),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4294,negated_conjecture,
coll(sK26,sK21,sK22),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4295,negated_conjecture,
eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4296,negated_conjecture,
eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4297,negated_conjecture,
coll(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4298,negated_conjecture,
coll(sK24,sK22,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4299,negated_conjecture,
coll(sK23,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4300,negated_conjecture,
perp(sK23,sK22,sK20,sK21),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4301,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5848,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_4299,c_49]) ).
tcf(c_5849,plain,
coll(sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_4298,c_49]) ).
tcf(c_5851,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_4294,c_49]) ).
tcf(c_5852,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_4293,c_49]) ).
tcf(c_5861,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_4293,c_50]) ).
tcf(c_5876,plain,
coll(sK22,sK26,sK21),
inference(superposition,[status(thm)],[c_5851,c_50]) ).
tcf(c_5940,plain,
perp(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_4301,c_55]) ).
tcf(c_5941,plain,
perp(sK23,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_4300,c_55]) ).
tcf(c_5946,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_4301,c_56]) ).
tcf(c_5947,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_4300,c_56]) ).
tcf(c_5956,plain,
perp(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5940,c_56]) ).
tcf(c_5961,plain,
perp(sK22,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_5946,c_55]) ).
tcf(c_6064,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_4299,c_51]) ).
tcf(c_6066,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4297,c_51]) ).
tcf(c_6067,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_4294,c_51]) ).
tcf(c_6069,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_5848,c_51]) ).
tcf(c_6070,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK23,X0) ),
inference(superposition,[status(thm)],[c_5849,c_51]) ).
tcf(c_6072,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5851,c_51]) ).
tcf(c_6073,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_5852,c_51]) ).
tcf(c_6078,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_5861,c_51]) ).
tcf(c_6082,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_5876,c_51]) ).
tcf(c_6184,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_4299,c_6064]) ).
tcf(c_6185,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6184,c_51]) ).
tcf(c_6200,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_4297,c_6066]) ).
tcf(c_6228,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6200,c_51]) ).
tcf(c_6244,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4294,c_6067]) ).
tcf(c_6245,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6244,c_51]) ).
tcf(c_6247,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6244,c_49]) ).
tcf(c_6274,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_6247,c_51]) ).
tcf(c_6279,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_6274]) ).
tcf(c_6343,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_5849,c_6070]) ).
tcf(c_6347,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6343,c_51]) ).
tcf(c_6349,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_6343,c_49]) ).
tcf(c_6352,plain,
( coll(sK24,sK22,sK22)
| ~ coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6347]) ).
tcf(c_6373,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_5851,c_6072]) ).
tcf(c_6569,plain,
! [X0: $i] :
( cong(sK21,X0,sK22,X0)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_5956,c_101]) ).
tcf(c_6633,plain,
coll(sK23,sK26,sK21),
inference(superposition,[status(thm)],[c_6373,c_6185]) ).
tcf(c_6685,plain,
coll(sK25,sK26,sK21),
inference(superposition,[status(thm)],[c_6373,c_6228]) ).
tcf(c_6706,plain,
( cong(sK22,sK22,sK22,sK21)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_4301,c_104]) ).
tcf(c_6707,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4300,c_104]) ).
tcf(c_6714,plain,
( cong(sK22,sK20,sK22,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_5961,c_104]) ).
tcf(c_6787,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_4301,c_57]) ).
tcf(c_6789,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5940,c_57]) ).
tcf(c_6791,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5946,c_57]) ).
tcf(c_6792,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5947,c_57]) ).
tcf(c_6920,plain,
( cong(sK22,sK21,sK22,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_6706,c_72]) ).
tcf(c_6934,plain,
( cong(sK23,sK21,sK23,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6707,c_72]) ).
tcf(c_6951,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_5946,c_6787]) ).
tcf(c_6963,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_6951,c_115]) ).
tcf(c_7000,plain,
! [X0: $i] :
( circle(sK23,sK20,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK23,sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_6707,c_60]) ).
tcf(c_7066,plain,
! [X0: $i,X1: $i] :
( cong(sK22,sK22,X0,X1)
| ~ midp(sK20,sK22,sK21)
| ~ cong(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6706,c_73]) ).
tcf(c_7067,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK23,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6707,c_73]) ).
tcf(c_7189,plain,
coll(sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_6343,c_6245]) ).
tcf(c_7278,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_5876,c_6082]) ).
tcf(c_7300,plain,
eqangle(sK20,sK21,sK20,sK24,sK24,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4296,c_66]) ).
tcf(c_7301,plain,
eqangle(sK22,sK23,sK22,sK25,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_4295,c_66]) ).
tcf(c_7319,plain,
eqangle(sK22,sK25,sK23,sK22,sK22,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_4295,c_67]) ).
tcf(c_7364,plain,
coll(sK23,sK21,sK26),
inference(superposition,[status(thm)],[c_6633,c_49]) ).
tcf(c_7398,plain,
eqangle(sK24,sK20,sK20,sK22,sK21,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_4296,c_68]) ).
tcf(c_7399,plain,
eqangle(sK25,sK22,sK22,sK21,sK23,sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4295,c_68]) ).
tcf(c_7400,plain,
eqangle(sK24,sK20,sK20,sK22,sK20,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_7300,c_68]) ).
tcf(c_7401,plain,
eqangle(sK25,sK22,sK22,sK21,sK22,sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_7301,c_68]) ).
tcf(c_7441,plain,
eqangle(sK23,sK22,sK25,sK22,sK22,sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_4295,c_69]) ).
tcf(c_7445,plain,
eqangle(sK22,sK25,sK22,sK21,sK23,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_7319,c_69]) ).
tcf(c_7521,plain,
eqangle(sK20,sK24,sK20,sK22,sK21,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_7398,c_66]) ).
tcf(c_7654,plain,
coll(sK26,sK25,sK21),
inference(superposition,[status(thm)],[c_6685,c_50]) ).
tcf(c_8488,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_6963,c_50]) ).
tcf(c_8516,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_7189,c_6073]) ).
tcf(c_8547,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_4301,c_6791]) ).
tcf(c_8548,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_5940,c_6791]) ).
tcf(c_8559,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_8548,c_94]) ).
tcf(c_8560,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK21,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8548,c_58]) ).
tcf(c_8562,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_8548,c_53]) ).
tcf(c_8579,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5941,c_6792]) ).
tcf(c_8935,plain,
( circle(sK23,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6707,c_7000]) ).
tcf(c_9067,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8935,c_102]) ).
tcf(c_9068,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9067,c_4299]) ).
tcf(c_9362,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_7364,c_6069]) ).
tcf(c_9422,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_6920,c_7066]) ).
tcf(c_9489,plain,
( cong(sK23,sK20,sK23,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6934,c_7067]) ).
tcf(c_9663,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_6951,c_113]) ).
tcf(c_9667,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8547,c_113]) ).
tcf(c_9670,plain,
! [X0: $i] :
( midp(X0,sK21,sK20)
| ~ midp(X0,sK20,sK21)
| ~ para(sK20,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8579,c_113]) ).
tcf(c_9681,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9667,c_8547]) ).
tcf(c_9693,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9663,c_6951]) ).
tcf(c_9700,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_9693]) ).
tcf(c_9702,plain,
( midp(sK22,sK21,sK21)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_9681]) ).
tcf(c_9704,plain,
( midp(sK22,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ para(sK20,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_9670]) ).
tcf(c_9735,plain,
( para(sK24,sK20,sK20,sK22)
| ~ para(sK20,sK21,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7400,c_122]) ).
tcf(c_10476,plain,
coll(sK26,sK21,sK25),
inference(superposition,[status(thm)],[c_7654,c_49]) ).
tcf(c_10835,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK21,X1)
| ~ midp(sK20,sK22,sK21)
| ~ cong(sK22,sK22,sK22,X1)
| ~ cong(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6706,c_61]) ).
tcf(c_12447,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_8488,c_49]) ).
tcf(c_12476,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_8516,c_50]) ).
tcf(c_12585,plain,
coll(sK24,sK23,sK20),
inference(superposition,[status(thm)],[c_9362,c_6078]) ).
tcf(c_12924,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_12585,c_6070]) ).
tcf(c_12956,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_12924,c_49]) ).
tcf(c_12997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK21,sK20,sK20,sK24,X0,X1,X2,X3)
| ~ eqangle(sK24,sK20,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4296,c_70]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK22,sK22,sK25,X0,X1,X2,X3)
| ~ eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4295,c_70]) ).
tcf(c_13003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK20,sK20,sK22,X0,X1,X2,X3)
| ~ eqangle(sK21,sK20,sK20,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7398,c_70]) ).
tcf(c_13004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK25,sK22,sK22,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK22,sK22,sK25,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7399,c_70]) ).
tcf(c_13006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK22,sK25,sK22,X0,X1,X2,X3)
| ~ eqangle(sK22,sK25,sK22,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7441,c_70]) ).
tcf(c_13020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK24,sK20,sK22,X0,X1,X2,X3)
| ~ eqangle(sK21,sK20,sK20,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7521,c_70]) ).
tcf(c_13331,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK20,sK20,sK24,X0,X1,sK20,sK22)
| ~ para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_12997]) ).
tcf(c_13352,plain,
eqangle(sK23,sK22,sK22,sK25,sK22,sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_7401,c_12998]) ).
tcf(c_13430,plain,
eqangle(sK22,sK23,sK22,sK25,sK22,sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_13352,c_66]) ).
tcf(c_13449,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK20,sK24,X0,X1,sK20,sK22)
| ~ para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_13331,c_66]) ).
tcf(c_14426,plain,
coll(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_6247,c_6274]) ).
tcf(c_14888,plain,
coll(sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_10476,c_6067]) ).
tcf(c_14944,plain,
coll(sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_14888,c_49]) ).
tcf(c_14963,plain,
eqangle(sK24,sK20,sK20,sK22,sK24,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4296,c_13003]) ).
tcf(c_14996,plain,
eqangle(sK20,sK24,sK20,sK22,sK24,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_14963,c_66]) ).
tcf(c_15146,plain,
eqangle(sK24,sK20,sK20,sK22,sK20,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_14996,c_68]) ).
tcf(c_15149,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_14996,c_87]) ).
tcf(c_15661,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_4295,c_13004]) ).
tcf(c_15691,plain,
eqangle(sK25,sK22,sK25,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_15661,c_69]) ).
tcf(c_15724,plain,
( perp(sK25,sK22,sK25,sK22)
| ~ perp(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_15691,c_123]) ).
tcf(c_15823,plain,
eqangle(sK23,sK22,sK25,sK22,sK23,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_7445,c_13006]) ).
tcf(c_15888,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_12476,c_49]) ).
tcf(c_16969,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_14944,c_6274]) ).
tcf(c_17017,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_12956,c_51]) ).
tcf(c_17023,plain,
( coll(sK20,sK22,sK22)
| ~ coll(sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_17017]) ).
tcf(c_17124,plain,
( para(sK24,sK25,sK22,sK21)
| ~ para(sK24,sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_17273,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_15888,c_6274]) ).
tcf(c_17274,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_15888,c_6082]) ).
tcf(c_17369,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_8562,c_52]) ).
tcf(c_17567,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_15149,c_52]) ).
tcf(c_18072,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_16969,c_49]) ).
tcf(c_20335,plain,
( cyclic(sK23,sK25,sK22,sK22)
| ~ coll(sK22,sK22,sK25) ),
inference(superposition,[status(thm)],[c_13430,c_91]) ).
tcf(c_20339,plain,
cyclic(sK23,sK25,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_20335,c_18072]) ).
tcf(c_20486,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_17567,c_113]) ).
tcf(c_20496,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20486,c_17567]) ).
tcf(c_20499,plain,
( midp(sK22,sK24,sK24)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20496]) ).
tcf(c_20599,plain,
eqangle(sK20,sK24,sK20,sK22,sK20,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_15146,c_66]) ).
tcf(c_20858,plain,
! [X0: $i] :
( cyclic(sK25,sK22,sK22,X0)
| ~ cyclic(sK23,sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_20339,c_65]) ).
tcf(c_20859,plain,
cyclic(sK25,sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_20339,c_64]) ).
tcf(c_20860,plain,
cyclic(sK23,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_20339,c_63]) ).
tcf(c_20866,plain,
( cyclic(sK25,sK22,sK22,sK22)
| ~ cyclic(sK23,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_20858]) ).
tcf(c_20880,plain,
cyclic(sK25,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_20859,c_63]) ).
tcf(c_20908,plain,
cyclic(sK22,sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_20860,c_64]) ).
tcf(c_21119,plain,
eqangle(sK23,sK22,sK23,sK22,sK25,sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_15823,c_69]) ).
tcf(c_21201,plain,
cyclic(sK25,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_20880,c_62]) ).
tcf(c_21234,plain,
cyclic(sK22,sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_20908,c_62]) ).
tcf(c_21606,plain,
! [X0: $i] :
( cyclic(sK22,sK22,sK23,X0)
| ~ cyclic(sK25,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_21201,c_65]) ).
tcf(c_21615,plain,
( cyclic(sK22,sK22,sK23,sK22)
| ~ cyclic(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_21606]) ).
tcf(c_21619,plain,
cyclic(sK22,sK22,sK23,sK25),
inference(superposition,[status(thm)],[c_21234,c_63]) ).
tcf(c_21998,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X1,X0)
| ~ midp(X1,sK21,sK20)
| ~ cong(sK21,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_6569,c_105]) ).
tcf(c_22010,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK22,sK21,sK20)
| ~ cong(sK21,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_21998]) ).
tcf(c_22472,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6714,c_116]) ).
tcf(c_22487,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22472,c_17273]) ).
tcf(c_23888,plain,
( midp(sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK21)
| ~ coll(sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_9422,c_116]) ).
tcf(c_23901,plain,
! [X0: $i] :
( cyclic(sK22,sK22,sK21,X0)
| ~ midp(sK20,sK22,sK21)
| ~ cong(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_9422,c_10835]) ).
tcf(c_23909,plain,
( midp(sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23888,c_14426]) ).
tcf(c_23988,plain,
( circle(sK23,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9489,c_7000]) ).
tcf(c_24497,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_23988,c_102]) ).
tcf(c_24498,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24497,c_4299]) ).
tcf(c_24505,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_24498,c_57]) ).
tcf(c_24513,plain,
! [X0: $i] :
( cong(sK20,X0,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_24498,c_101]) ).
tcf(c_24804,plain,
! [X0: $i] :
( midp(sK20,X0,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21)
| ~ coll(sK20,X0,X0) ),
inference(superposition,[status(thm)],[c_24513,c_116]) ).
tcf(c_24897,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_24804]) ).
tcf(c_24950,plain,
( para(sK20,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9068,c_24505]) ).
tcf(c_26542,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_28790,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_17274,c_8559]) ).
tcf(c_34911,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_34912,plain,
( perp(sK22,sK22,sK21,sK22)
| ~ perp(sK21,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_34911]) ).
tcf(c_35021,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,sK21,sK22)
| ~ perp(sK24,sK25,X0,X1)
| ~ perp(X0,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_35022,plain,
( para(sK24,sK25,sK21,sK22)
| ~ perp(sK22,sK22,sK21,sK22)
| ~ perp(sK24,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_35021]) ).
tcf(c_42026,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,sK20,sK24)
| ~ para(sK24,sK20,X0,X1)
| ~ para(X0,X1,sK20,sK22) ),
inference(superposition,[status(thm)],[c_13449,c_122]) ).
tcf(c_42057,plain,
( para(sK20,sK21,sK20,sK24)
| ~ para(sK22,sK22,sK20,sK22)
| ~ para(sK24,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_42026]) ).
tcf(c_49623,plain,
( cyclic(sK24,sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_20599,c_91]) ).
tcf(c_49628,plain,
cyclic(sK24,sK22,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_49623,c_12447]) ).
tcf(c_49713,plain,
cyclic(sK24,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_49628,c_63]) ).
tcf(c_49732,plain,
cyclic(sK20,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_49713,c_64]) ).
tcf(c_50206,plain,
! [X0: $i] :
( cyclic(sK24,sK22,sK20,X0)
| ~ cyclic(sK20,sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_49732,c_65]) ).
tcf(c_50209,plain,
cyclic(sK20,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_49732,c_62]) ).
tcf(c_50215,plain,
( cyclic(sK24,sK22,sK20,sK22)
| ~ cyclic(sK20,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_50206]) ).
tcf(c_50258,plain,
cyclic(sK20,sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_50209,c_63]) ).
tcf(c_50286,plain,
! [X0: $i] :
( cyclic(sK20,sK24,sK22,X0)
| ~ cyclic(sK20,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_50258,c_65]) ).
tcf(c_50295,plain,
( cyclic(sK20,sK24,sK22,sK22)
| ~ cyclic(sK20,sK20,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_50286]) ).
tcf(c_53198,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK23,sK22)
| ~ cyclic(sK22,sK22,sK23,sK25) ),
inference(superposition,[status(thm)],[c_21119,c_92]) ).
tcf(c_53206,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK23,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53198,c_21619]) ).
tcf(c_54002,plain,
! [X0: $i] :
( eqangle(sK21,sK22,sK21,X0,sK21,sK22,sK21,X0)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_26542]) ).
tcf(c_54003,plain,
! [X0: $i] :
( cyclic(sK22,X0,sK21,sK21)
| ~ coll(sK21,sK21,X0)
| ~ eqangle(sK21,sK22,sK21,X0,sK21,sK22,sK21,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_54004,plain,
( eqangle(sK21,sK22,sK21,sK22,sK21,sK22,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_54002]) ).
tcf(c_54005,plain,
( cyclic(sK22,sK22,sK21,sK21)
| ~ coll(sK21,sK21,sK22)
| ~ eqangle(sK21,sK22,sK21,sK22,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_54003]) ).
tcf(c_56548,plain,
midp(sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_23909,c_177,c_6247,c_6279,c_20339,c_20866,c_21615,c_53206]) ).
tcf(c_56557,plain,
midp(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_56548,c_9693]) ).
tcf(c_56558,plain,
midp(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_56548,c_9681]) ).
tcf(c_56794,plain,
( cyclic(sK22,sK22,sK21,sK21)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_6706,c_23901]) ).
tcf(c_56891,plain,
cyclic(sK22,sK22,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_56794,c_7278,c_17369,c_54004,c_54005]) ).
tcf(c_56893,plain,
( perp(sK21,sK22,sK22,sK21)
| ~ cong(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_56891,c_106]) ).
tcf(c_56918,plain,
( perp(sK21,sK22,sK22,sK21)
| ~ midp(sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_117,c_56893]) ).
tcf(c_56924,plain,
perp(sK21,sK22,sK22,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_56918,c_56558]) ).
tcf(c_57045,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK20,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_56557,c_93]) ).
tcf(c_57055,plain,
( para(sK22,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57045]) ).
tcf(c_57075,plain,
! [X0: $i] :
( cong(sK21,X0,sK22,X0)
| ~ midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_56924,c_101]) ).
tcf(c_57076,plain,
perp(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_56924,c_8560]) ).
tcf(c_57077,plain,
para(sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_56924,c_6789]) ).
tcf(c_57092,plain,
perp(sK25,sK22,sK25,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_15724,c_57076]) ).
tcf(c_57093,plain,
( cong(sK21,sK22,sK22,sK22)
| ~ midp(sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_57075]) ).
tcf(c_57147,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_57077,c_113]) ).
tcf(c_57151,plain,
para(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_57077,c_53]) ).
tcf(c_57161,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57147,c_57151]) ).
tcf(c_57164,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_57161]) ).
tcf(c_57705,plain,
perp(sK25,sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_57092,c_55]) ).
tcf(c_65345,plain,
perp(sK22,sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_57705,c_56]) ).
tcf(c_67475,plain,
! [X0: $i] :
( cong(sK22,X0,sK25,X0)
| ~ midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_65345,c_101]) ).
tcf(c_67490,plain,
( cong(sK22,sK22,sK25,sK22)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_67475]) ).
tcf(c_68087,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,sK20,X1,X2)
| ~ midp(sK20,X0,X2)
| ~ midp(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_68088,plain,
( para(sK24,sK20,sK22,sK22)
| ~ midp(sK20,sK22,sK22)
| ~ midp(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_68087]) ).
tcf(c_78785,plain,
! [X0: $i] :
( midp(sK24,X0,sK22)
| ~ coll(sK24,X0,sK22)
| ~ cong(sK24,X0,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_78786,plain,
( midp(sK24,sK22,sK22)
| ~ coll(sK24,sK22,sK22)
| ~ cong(sK24,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_78785]) ).
tcf(c_78865,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK24,X1,sK24,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK24,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_78866,plain,
( cong(sK24,sK22,sK24,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ perp(sK24,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_78865]) ).
tcf(c_80945,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK24,sK20,sK22,X0,X1,sK20,sK22)
| ~ para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_13331,c_13020]) ).
tcf(c_80987,plain,
! [X0: $i] :
( cong(sK24,sK22,X0,sK22)
| ~ cyclic(sK24,sK22,sK20,sK20)
| ~ cyclic(sK24,sK22,sK20,sK22)
| ~ cyclic(sK24,sK22,sK20,X0)
| ~ para(sK24,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_80945,c_92]) ).
tcf(c_81015,plain,
! [X0: $i] :
( cong(sK24,sK22,X0,sK22)
| ~ cyclic(sK24,sK22,sK20,sK22)
| ~ cyclic(sK24,sK22,sK20,X0)
| ~ para(sK24,sK20,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80987,c_49628]) ).
tcf(c_81028,plain,
( cong(sK24,sK22,sK22,sK22)
| ~ cyclic(sK24,sK22,sK20,sK22)
| ~ para(sK24,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_81015]) ).
tcf(c_81457,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK25,X0,X1)
| ~ cong(sK24,X1,sK25,X1)
| ~ cong(sK24,X0,sK25,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_81458,plain,
( perp(sK24,sK25,sK22,sK22)
| ~ cong(sK24,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_81457]) ).
tcf(c_94401,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK24,X2,sK25,X2)
| ~ cong(sK24,X2,X0,X1)
| ~ cong(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_94402,plain,
( cong(sK24,sK22,sK25,sK22)
| ~ cong(sK22,sK22,sK25,sK22)
| ~ cong(sK24,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_94401]) ).
tcf(c_130170,plain,
! [X0: $i,X1: $i] :
( perp(sK24,X1,X0,sK22)
| ~ perp(X0,sK22,sK24,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_130171,plain,
( perp(sK24,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_130170]) ).
tcf(c_130323,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_130324,plain,
( cong(sK22,sK24,sK22,sK24)
| ~ midp(sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_130323]) ).
tcf(c_130512,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK22)
| ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_130513,plain,
( perp(sK22,sK22,sK24,sK22)
| ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_130512]) ).
tcf(c_130514,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_130513,c_130324,c_130171,c_94402,c_81458,c_81028,c_78866,c_78786,c_68088,c_67490,c_57164,c_57093,c_57055,c_53206,c_50295,c_50258,c_50215,c_42057,c_35022,c_34912,c_28790,c_24950,c_24897,c_22487,c_22010,c_21615,c_20866,c_20499,c_20339,c_17124,c_17023,c_9735,c_9704,c_9702,c_9700,c_6352,c_6349,c_6279,c_6247,c_177,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Wed Sep 23 12:41:59 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 65.07/11.13 % SZS status Started for theBenchmark.p
% 65.07/11.13 % SZS status Theorem for theBenchmark.p
% 65.07/11.13
% 65.07/11.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 65.07/11.13
% 65.07/11.13 % ------ iProver source info
% 65.07/11.13
% 65.07/11.13 % git: date: 2026-07-19 20:42:38 +0200
% 65.07/11.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 65.07/11.13 % git: non_committed_changes: false
% 65.07/11.13
% 65.07/11.13 % ------ Parsing...
% 65.07/11.13 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 65.07/11.13
% 65.07/11.13 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 65.07/11.13
% 65.07/11.13 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 65.07/11.13
% 65.07/11.13 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.07/11.13 % ------ Proving...
% 65.07/11.13 % ------ Problem Properties
% 65.07/11.13
% 65.07/11.13 %
% 65.07/11.13 % clauses 122
% 65.07/11.13 % conjectures 10
% 65.07/11.13 % EPR 85
% 65.07/11.13 % Horn 112
% 65.07/11.13 % unary 10
% 65.07/11.13 % binary 37
% 65.07/11.13 % lits 338
% 65.07/11.13 % lits eq 4
% 65.07/11.13 % fd_pure 0
% 65.07/11.13 % fd_pseudo 0
% 65.07/11.13 % fd_cond 0
% 65.07/11.13 % fd_pseudo_cond 4
% 65.07/11.13 % AC symbols 0
% 65.07/11.13
% 65.07/11.13 % ------ Schedule dynamic 5 is on
% 65.07/11.13
% 65.07/11.13 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 65.07/11.13
% 65.07/11.13
% 65.07/11.13 % ------
% 65.07/11.13 % Current options:
% 65.07/11.13 % ------
% 65.07/11.13
% 65.07/11.13
% 65.07/11.13 %
% 65.07/11.13
% 65.07/11.13 % ------ Proving...
% 65.07/11.13 %
% 65.07/11.13
% 65.07/11.13 % SZS status Theorem for theBenchmark.p
% 65.07/11.13
% 65.07/11.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.07/11.14
% 65.07/11.14
%------------------------------------------------------------------------------