%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO584+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:21:33 PM UTC 2026
% Result : Theorem 165.53s 22.99s
% Output : CNFRefutation 90.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 33
% Syntax : Number of formulae : 435 ( 92 unt; 0 def)
% Number of atoms : 1043 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1106 ( 498 ~; 491 |; 83 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-5 aty)
% Number of variables : 1021 ( 0 sgn 989 !; 32 ?; 373 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f78,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( ( eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
& cong(X2,X0,X2,X1) )
=> ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX2) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416046) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
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(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(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
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(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(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(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(f195,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(flattening,[],[f195]) ).
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(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(flattening,[],[f212]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ cong(X2,X0,X2,X1)
| ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
inference(ennf_transformation,[],[f78]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ cong(X2,X0,X2,X1)
| ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
inference(flattening,[],[f216]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
inference(flattening,[],[f249]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ cong(X2,X0,X2,X1)
| ( coll(sK1(X0,X1,X2,X3),X2,X3)
& coll(X1,X0,sK1(X0,X1,X2,X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X0,X1,X2,X3))],[f217]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( coll(sK29,sK22,sK24)
& perp(sK29,sK25,sK22,sK24)
& coll(sK28,sK20,sK24)
& perp(sK28,sK25,sK20,sK24)
& coll(sK27,sK20,sK21)
& perp(sK27,sK25,sK20,sK21)
& coll(sK26,sK21,sK22)
& perp(sK26,sK25,sK21,sK22)
& circle(sK23,sK20,sK25,sK31)
& circle(sK23,sK20,sK24,sK30)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29) ),
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(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(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(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
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(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(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(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(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
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(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ cong(X2,X0,X2,X1)
| coll(X1,X0,sK1(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f252]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK29,sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK28,sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK27,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29),
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_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_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f299]) ).
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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
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_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_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_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
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_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X3,X0,sK1(X0,X3,X1,X2))
| ~ cong(X1,X0,X1,X3)
| ~ eqangle(X0,X1,X1,X2,X1,X2,X1,X3) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29),
inference(cnf_transformation,[],[f395]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f394]) ).
tcf(c_166,negated_conjecture,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_168,negated_conjecture,
perp(sK27,sK25,sK20,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_169,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_170,negated_conjecture,
perp(sK28,sK25,sK20,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_171,negated_conjecture,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_172,negated_conjecture,
perp(sK29,sK25,sK22,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_173,negated_conjecture,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f384]) ).
tcf(c_179,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_183,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_188,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_237,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_286,plain,
( coll(sK27,sK21,sK20)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_292,plain,
( coll(sK20,sK27,sK21)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_293,plain,
( coll(sK20,sK28,sK24)
| ~ coll(sK28,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_304,plain,
( perp(sK20,sK21,sK27,sK25)
| ~ perp(sK27,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_306,plain,
( perp(sK22,sK24,sK29,sK25)
| ~ perp(sK29,sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_326,plain,
coll(sK27,sK21,sK20),
inference(resolution,[status(thm)],[c_49,c_169]) ).
tcf(c_327,plain,
coll(sK28,sK24,sK20),
inference(resolution,[status(thm)],[c_49,c_171]) ).
tcf(c_329,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ circle(sK23,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_332,plain,
( perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23)
| ~ circle(sK23,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(sK27,sK25,sK20,sK21)
| ~ perp(X0,X1,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_361,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_370,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_371,plain,
coll(sK28,sK24,sK20),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_406,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_454,plain,
coll(sK20,sK21,sK27),
inference(superposition,[status(thm)],[c_406,c_49]) ).
tcf(c_477,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_478,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_479,plain,
! [X0: $i] :
( coll(sK24,X0,sK28)
| ~ coll(sK28,sK20,X0) ),
inference(superposition,[status(thm)],[c_171,c_51]) ).
tcf(c_480,plain,
! [X0: $i] :
( coll(sK24,X0,sK29)
| ~ coll(sK29,sK22,X0) ),
inference(superposition,[status(thm)],[c_173,c_51]) ).
tcf(c_481,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_361,c_51]) ).
tcf(c_482,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_370,c_51]) ).
tcf(c_483,plain,
! [X0: $i] :
( coll(sK20,X0,sK28)
| ~ coll(sK28,sK24,X0) ),
inference(superposition,[status(thm)],[c_371,c_51]) ).
tcf(c_486,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_406,c_51]) ).
tcf(c_523,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_482]) ).
tcf(c_625,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK27,sK21)
| ~ coll(sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_626,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK27,sK21)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_625]) ).
tcf(c_639,plain,
! [X0: $i] :
( coll(X0,sK24,sK20)
| ~ coll(sK20,sK28,sK24)
| ~ coll(sK20,sK28,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_751,plain,
perp(sK21,sK22,sK26,sK25),
inference(resolution,[status(thm)],[c_56,c_166]) ).
tcf(c_752,plain,
perp(sK20,sK21,sK27,sK25),
inference(resolution,[status(thm)],[c_56,c_168]) ).
tcf(c_753,plain,
perp(sK20,sK24,sK28,sK25),
inference(resolution,[status(thm)],[c_56,c_170]) ).
tcf(c_754,plain,
perp(sK22,sK24,sK29,sK25),
inference(resolution,[status(thm)],[c_56,c_172]) ).
tcf(c_788,plain,
( perp(sK20,sK21,sK25,sK27)
| ~ perp(sK20,sK21,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK25)
| ~ perp(sK20,sK21,sK27,sK25)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_803,plain,
perp(sK21,sK22,sK25,sK26),
inference(resolution,[status(thm)],[c_751,c_55]) ).
tcf(c_807,plain,
perp(sK20,sK21,sK25,sK27),
inference(resolution,[status(thm)],[c_752,c_55]) ).
tcf(c_811,plain,
perp(sK20,sK24,sK25,sK28),
inference(resolution,[status(thm)],[c_753,c_55]) ).
tcf(c_815,plain,
perp(sK22,sK24,sK25,sK29),
inference(resolution,[status(thm)],[c_754,c_55]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK29,sK25)
| ~ perp(sK22,sK24,sK29,sK25)
| ~ perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_854,plain,
( perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_870,plain,
perp(sK25,sK27,sK20,sK21),
inference(resolution,[status(thm)],[c_807,c_56]) ).
tcf(c_874,plain,
perp(sK25,sK28,sK20,sK24),
inference(resolution,[status(thm)],[c_811,c_56]) ).
tcf(c_920,plain,
( para(sK20,sK21,sK20,sK21)
| ~ perp(sK20,sK21,sK27,sK25)
| ~ perp(sK27,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_337]) ).
tcf(c_936,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_454,c_51]) ).
tcf(c_939,plain,
( coll(sK27,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_1067,plain,
perp(sK25,sK29,sK22,sK24),
inference(resolution,[status(thm)],[c_815,c_56]) ).
tcf(c_1212,plain,
! [X0: $i] :
( coll(X0,sK21,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(resolution,[status(thm)],[c_51,c_169]) ).
tcf(c_1214,plain,
! [X0: $i] :
( coll(X0,sK24,sK29)
| ~ coll(sK29,sK22,X0) ),
inference(resolution,[status(thm)],[c_51,c_173]) ).
tcf(c_1218,plain,
! [X0: $i] :
( coll(X0,sK20,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(resolution,[status(thm)],[c_51,c_326]) ).
tcf(c_1219,plain,
! [X0: $i] :
( coll(X0,sK20,sK28)
| ~ coll(sK28,sK24,X0) ),
inference(resolution,[status(thm)],[c_51,c_327]) ).
tcf(c_1417,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_169,c_478]) ).
tcf(c_1428,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_1417,c_51]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK27)
| ~ perp(sK20,sK21,sK25,sK27)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1484,plain,
( para(sK20,sK20,sK25,sK27)
| ~ perp(sK20,sK21,sK25,sK27)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_1483]) ).
tcf(c_1508,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_171,c_479]) ).
tcf(c_1509,plain,
! [X0: $i] :
( coll(sK28,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_1508,c_51]) ).
tcf(c_1568,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK28)
| ~ perp(sK20,sK24,sK25,sK28)
| ~ perp(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1586,plain,
coll(sK21,sK21,sK27),
inference(resolution,[status(thm)],[c_1212,c_169]) ).
tcf(c_1589,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK29)
| ~ perp(sK22,sK24,sK25,sK29)
| ~ perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1601,plain,
! [X0: $i] :
( coll(X0,sK27,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_1586,c_51]) ).
tcf(c_1626,plain,
coll(sK24,sK24,sK29),
inference(resolution,[status(thm)],[c_1214,c_173]) ).
tcf(c_1627,plain,
( perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1629,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1641,plain,
! [X0: $i] :
( coll(X0,sK29,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(resolution,[status(thm)],[c_1626,c_51]) ).
tcf(c_1665,plain,
coll(sK24,sK24,sK29),
inference(superposition,[status(thm)],[c_173,c_480]) ).
tcf(c_1682,plain,
! [X0: $i] :
( coll(sK29,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_1665,c_51]) ).
tcf(c_1685,plain,
( coll(sK29,sK20,sK24)
| ~ coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1682]) ).
tcf(c_1735,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_361,c_481]) ).
tcf(c_1741,plain,
coll(sK20,sK20,sK27),
inference(resolution,[status(thm)],[c_1218,c_326]) ).
tcf(c_1865,plain,
coll(sK20,sK27,sK20),
inference(resolution,[status(thm)],[c_1741,c_49]) ).
tcf(c_1872,plain,
coll(sK20,sK20,sK28),
inference(resolution,[status(thm)],[c_1219,c_327]) ).
tcf(c_1888,plain,
coll(sK20,sK28,sK20),
inference(resolution,[status(thm)],[c_1872,c_49]) ).
tcf(c_1918,plain,
( coll(sK24,sK24,sK20)
| ~ coll(sK20,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_1929,plain,
( para(sK27,sK25,sK27,sK25)
| ~ perp(sK20,sK21,sK27,sK25)
| ~ perp(sK27,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_789]) ).
tcf(c_1957,plain,
( para(sK29,sK25,sK29,sK25)
| ~ perp(sK22,sK24,sK29,sK25)
| ~ perp(sK29,sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_837]) ).
tcf(c_2218,plain,
coll(sK27,sK27,sK21),
inference(resolution,[status(thm)],[c_1601,c_1586]) ).
tcf(c_2223,plain,
coll(sK27,sK21,sK27),
inference(resolution,[status(thm)],[c_2218,c_49]) ).
tcf(c_2263,plain,
coll(sK29,sK29,sK24),
inference(resolution,[status(thm)],[c_1641,c_1626]) ).
tcf(c_2287,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_370,c_482]) ).
tcf(c_2312,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_2287,c_49]) ).
tcf(c_2346,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_2312,c_51]) ).
tcf(c_2349,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_2346]) ).
tcf(c_2364,plain,
coll(sK29,sK24,sK29),
inference(resolution,[status(thm)],[c_2263,c_49]) ).
tcf(c_2740,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[status(thm)],[c_102,c_163]) ).
tcf(c_2815,plain,
! [X0: $i] :
( coll(X0,sK27,sK27)
| ~ coll(sK27,sK21,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2816,plain,
( coll(sK20,sK27,sK27)
| ~ coll(sK27,sK21,sK20)
| ~ coll(sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_2815]) ).
tcf(c_3081,plain,
perp(sK21,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_166,c_56]) ).
tcf(c_3082,plain,
perp(sK20,sK21,sK27,sK25),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_3083,plain,
perp(sK20,sK24,sK28,sK25),
inference(superposition,[status(thm)],[c_170,c_56]) ).
tcf(c_3084,plain,
perp(sK22,sK24,sK29,sK25),
inference(superposition,[status(thm)],[c_172,c_56]) ).
tcf(c_3096,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3101,plain,
! [X0: $i] :
( coll(sK29,sK24,X0)
| ~ coll(sK29,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3102,plain,
( coll(sK29,sK24,sK20)
| ~ coll(sK29,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_3101]) ).
tcf(c_3110,plain,
perp(sK21,sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_3081,c_55]) ).
tcf(c_3112,plain,
perp(sK20,sK21,sK25,sK27),
inference(superposition,[status(thm)],[c_3082,c_55]) ).
tcf(c_3130,plain,
perp(sK20,sK24,sK25,sK28),
inference(superposition,[status(thm)],[c_3083,c_55]) ).
tcf(c_3138,plain,
perp(sK22,sK24,sK25,sK29),
inference(superposition,[status(thm)],[c_3084,c_55]) ).
tcf(c_3462,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1)
| ~ coll(sK23,X0,X1)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_3463,plain,
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_3462]) ).
tcf(c_3880,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
tcf(c_3881,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_3882,plain,
! [X0: $i,X1: $i] :
( para(sK28,sK25,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_57]) ).
tcf(c_3883,plain,
! [X0: $i,X1: $i] :
( para(sK29,sK25,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_172,c_57]) ).
tcf(c_3889,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_3082,c_57]) ).
tcf(c_4560,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK25,sK26)
| ~ para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_58,c_803]) ).
tcf(c_4561,plain,
( perp(sK20,sK20,sK25,sK26)
| ~ para(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_4560]) ).
tcf(c_4641,plain,
para(sK26,sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_3110,c_3880]) ).
tcf(c_4678,plain,
para(sK25,sK26,sK26,sK25),
inference(superposition,[status(thm)],[c_4641,c_53]) ).
tcf(c_4739,plain,
para(sK25,sK26,sK25,sK26),
inference(superposition,[status(thm)],[c_4678,c_52]) ).
tcf(c_4763,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK26,sK25,sK26) ),
inference(superposition,[status(thm)],[c_4739,c_113]) ).
tcf(c_4767,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK25,sK25)
| ~ para(sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_4763]) ).
tcf(c_4794,plain,
para(sK27,sK25,sK27,sK25),
inference(superposition,[status(thm)],[c_3082,c_3881]) ).
tcf(c_4795,plain,
para(sK27,sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_3112,c_3881]) ).
tcf(c_4813,plain,
( para(sK25,sK27,sK25,sK27)
| ~ perp(sK20,sK21,sK25,sK27)
| ~ perp(sK25,sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_1483]) ).
tcf(c_4814,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK25,sK27,sK25) ),
inference(superposition,[status(thm)],[c_4794,c_113]) ).
tcf(c_4819,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK27,sK27) ),
inference(global_subsumption_just,[status(thm)],[c_4814,c_168,c_304,c_1929,c_4814]) ).
tcf(c_4821,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_4819]) ).
tcf(c_4827,plain,
( para(sK25,sK28,sK25,sK28)
| ~ perp(sK20,sK24,sK25,sK28)
| ~ perp(sK25,sK28,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1568]) ).
tcf(c_4829,plain,
( para(sK25,sK29,sK25,sK29)
| ~ perp(sK22,sK24,sK25,sK29)
| ~ perp(sK25,sK29,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_1589]) ).
tcf(c_4838,plain,
para(sK25,sK27,sK27,sK25),
inference(superposition,[status(thm)],[c_4795,c_53]) ).
tcf(c_4847,plain,
( para(sK23,sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_1629]) ).
tcf(c_4876,plain,
para(sK25,sK27,sK25,sK27),
inference(superposition,[status(thm)],[c_4838,c_52]) ).
tcf(c_4940,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK27,sK25,sK27) ),
inference(superposition,[status(thm)],[c_4876,c_113]) ).
tcf(c_4945,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK25,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_4940,c_168,c_304,c_788,c_870,c_4813,c_4940]) ).
tcf(c_4947,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_4945]) ).
tcf(c_4953,plain,
para(sK28,sK25,sK25,sK28),
inference(superposition,[status(thm)],[c_3130,c_3882]) ).
tcf(c_5016,plain,
para(sK25,sK28,sK28,sK25),
inference(superposition,[status(thm)],[c_4953,c_53]) ).
tcf(c_5038,plain,
para(sK25,sK28,sK25,sK28),
inference(superposition,[status(thm)],[c_5016,c_52]) ).
tcf(c_5090,plain,
! [X0: $i] :
( midp(X0,sK28,sK28)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK28,sK25,sK28) ),
inference(superposition,[status(thm)],[c_5038,c_113]) ).
tcf(c_5094,plain,
( midp(sK20,sK28,sK28)
| ~ midp(sK20,sK25,sK25)
| ~ para(sK25,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_5090]) ).
tcf(c_5110,plain,
para(sK29,sK25,sK29,sK25),
inference(superposition,[status(thm)],[c_3084,c_3883]) ).
tcf(c_5111,plain,
para(sK29,sK25,sK25,sK29),
inference(superposition,[status(thm)],[c_3138,c_3883]) ).
tcf(c_5133,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK29,sK29)
| ~ para(sK29,sK25,sK29,sK25) ),
inference(superposition,[status(thm)],[c_5110,c_113]) ).
tcf(c_5137,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK29,sK29)
| ~ para(sK29,sK25,sK29,sK25) ),
inference(instantiation,[status(thm)],[c_5133]) ).
tcf(c_5147,plain,
para(sK25,sK29,sK29,sK25),
inference(superposition,[status(thm)],[c_5111,c_53]) ).
tcf(c_5203,plain,
para(sK25,sK29,sK25,sK29),
inference(superposition,[status(thm)],[c_5147,c_52]) ).
tcf(c_5250,plain,
! [X0: $i] :
( midp(X0,sK29,sK29)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK29,sK25,sK29) ),
inference(superposition,[status(thm)],[c_5203,c_113]) ).
tcf(c_5254,plain,
( midp(sK20,sK29,sK29)
| ~ midp(sK20,sK25,sK25)
| ~ para(sK25,sK29,sK25,sK29) ),
inference(instantiation,[status(thm)],[c_5250]) ).
tcf(c_6306,plain,
! [X0: $i] :
( coll(sK23,sK22,sK20)
| ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6307,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6306]) ).
tcf(c_8044,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_8045,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8044]) ).
tcf(c_10421,plain,
coll(sK27,sK26,sK21),
inference(superposition,[status(thm)],[c_1735,c_1428]) ).
tcf(c_10473,plain,
coll(sK27,sK21,sK26),
inference(superposition,[status(thm)],[c_10421,c_49]) ).
tcf(c_11196,plain,
coll(sK20,sK26,sK27),
inference(superposition,[status(thm)],[c_10473,c_482]) ).
tcf(c_11230,plain,
coll(sK20,sK27,sK26),
inference(superposition,[status(thm)],[c_11196,c_49]) ).
tcf(c_11450,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_11230,c_486]) ).
tcf(c_11463,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_11450,c_50]) ).
tcf(c_11644,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_11463,c_477]) ).
tcf(c_11664,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_11644,c_49]) ).
tcf(c_11773,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_11664,c_51]) ).
tcf(c_11776,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_11773]) ).
tcf(c_12077,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_12078,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_12077]) ).
tcf(c_13998,plain,
! [X0: $i] :
( coll(X0,sK29,sK29)
| ~ coll(sK29,sK24,X0) ),
inference(resolution,[status(thm)],[c_2364,c_51]) ).
tcf(c_13999,plain,
( coll(sK20,sK29,sK29)
| ~ coll(sK29,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_13998]) ).
tcf(c_15570,plain,
coll(sK28,sK29,sK24),
inference(superposition,[status(thm)],[c_1665,c_1509]) ).
tcf(c_15763,plain,
coll(sK28,sK24,sK29),
inference(superposition,[status(thm)],[c_15570,c_49]) ).
tcf(c_15960,plain,
coll(sK20,sK29,sK28),
inference(superposition,[status(thm)],[c_15763,c_483]) ).
tcf(c_15998,plain,
coll(sK20,sK28,sK29),
inference(superposition,[status(thm)],[c_15960,c_49]) ).
tcf(c_16255,plain,
! [X0: $i] :
( coll(sK29,X0,sK20)
| ~ coll(sK20,sK28,X0) ),
inference(superposition,[status(thm)],[c_15998,c_51]) ).
tcf(c_16259,plain,
( coll(sK29,sK20,sK20)
| ~ coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_16255]) ).
tcf(c_17032,plain,
! [X0: $i,X1: $i] :
( coll(sK20,X1,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_17033,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17032]) ).
tcf(c_17140,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_2740,c_163,c_329,c_332,c_854,c_1627,c_3096,c_4847,c_6307,c_11664,c_11776,c_12078,c_17033]) ).
tcf(c_17152,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_17140,c_57]) ).
tcf(c_17155,plain,
( para(sK20,sK20,sK21,sK22)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_17152]) ).
tcf(c_18264,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_18266,plain,
( perp(sK20,sK20,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18264]) ).
tcf(c_18268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_18269,plain,
( para(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18268]) ).
tcf(c_24393,plain,
( eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29)
| ~ eqangle(sK27,sK28,sK25,sK27,sK26,sK29,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_24683,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_3889]) ).
tcf(c_24688,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_24683,c_113]) ).
tcf(c_24692,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24688]) ).
tcf(c_27344,plain,
( eqangle(sK27,sK28,sK25,sK27,sK26,sK29,sK25,sK26)
| ~ eqangle(sK27,sK28,sK26,sK29,sK25,sK27,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_28081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK25,sK26)
| ~ perp(X2,X3,sK25,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_28082,plain,
( para(sK20,sK20,sK25,sK26)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_28081]) ).
tcf(c_29148,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK27)
| ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_29149,plain,
( perp(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_29148]) ).
tcf(c_29156,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_29157,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29156]) ).
tcf(c_32204,plain,
! [X0: $i] :
( cong(X0,sK26,X0,sK26)
| ~ midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32207,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_32204]) ).
tcf(c_32223,plain,
! [X0: $i] :
( cong(X0,sK27,X0,sK27)
| ~ midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32225,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_32223]) ).
tcf(c_32231,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK27,X1,sK27)
| ~ midp(sK27,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_32232,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ midp(sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32231]) ).
tcf(c_32242,plain,
! [X0: $i] :
( cong(X0,sK28,X0,sK28)
| ~ midp(X0,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32244,plain,
( cong(sK20,sK28,sK20,sK28)
| ~ midp(sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_32242]) ).
tcf(c_32255,plain,
! [X0: $i] :
( cong(X0,sK29,X0,sK29)
| ~ midp(X0,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32258,plain,
( cong(sK20,sK29,sK20,sK29)
| ~ midp(sK20,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_32255]) ).
tcf(c_32264,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK29,X1,sK29)
| ~ midp(sK29,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_32265,plain,
( cong(sK20,sK29,sK20,sK29)
| ~ midp(sK29,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32264]) ).
tcf(c_34490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(sK29,X0,sK29,X1)
| ~ cong(X2,X3,X4,X5)
| ~ eqratio(sK29,X0,sK29,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_34491,plain,
( cong(sK29,sK20,sK29,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK29,sK20,sK29,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34490]) ).
tcf(c_37954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK28,sK26,sK29,sK25,sK27,sK25,sK26)
| ~ eqangle(sK27,sK28,sK26,sK29,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK25,sK27,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_37955,plain,
( eqangle(sK27,sK28,sK26,sK29,sK25,sK27,sK25,sK26)
| ~ eqangle(sK20,sK20,sK20,sK20,sK25,sK27,sK25,sK26)
| ~ eqangle(sK27,sK28,sK26,sK29,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37954]) ).
tcf(c_38158,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK27,X0,X1)
| ~ para(X0,X1,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_38159,plain,
( para(sK25,sK27,sK20,sK20)
| ~ para(sK20,sK20,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_38158]) ).
tcf(c_38335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK25,sK27,sK25,sK26,X0,X1,X2,X3)
| ~ eqangle(sK25,sK27,X0,X1,sK25,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_38336,plain,
( eqangle(sK25,sK27,sK25,sK26,sK20,sK20,sK20,sK20)
| ~ eqangle(sK25,sK27,sK20,sK20,sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38335]) ).
tcf(c_39425,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK28,X0,X1)
| ~ para(X0,X1,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_39426,plain,
( para(sK27,sK28,sK20,sK20)
| ~ para(sK20,sK20,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_39425]) ).
tcf(c_39663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK27,X3,X2)
| ~ coll(sK27,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_39664,plain,
( midp(sK27,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39663]) ).
tcf(c_39670,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK27,X1)
| ~ coll(X0,sK27,X1)
| ~ cong(X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_39923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK28,sK26,sK29,X0,X1,X2,X3)
| ~ eqangle(sK27,sK28,X0,X1,sK26,sK29,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_39924,plain,
( eqangle(sK27,sK28,sK26,sK29,sK20,sK20,sK20,sK20)
| ~ eqangle(sK27,sK28,sK20,sK20,sK26,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39923]) ).
tcf(c_40092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK25,sK27,X2,X3,X0,X1,X2,X3)
| ~ para(sK25,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_40093,plain,
( eqangle(sK25,sK27,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK25,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40092]) ).
tcf(c_40456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK25,sK27,sK25,sK26)
| ~ eqangle(sK25,sK27,sK25,sK26,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_40457,plain,
( eqangle(sK20,sK20,sK20,sK20,sK25,sK27,sK25,sK26)
| ~ eqangle(sK25,sK27,sK25,sK26,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40456]) ).
tcf(c_40491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK25,sK27,X6,X7,sK25,sK26,X4,X5)
| ~ eqangle(sK25,sK27,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK25,sK26,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_40492,plain,
( eqangle(sK25,sK27,sK20,sK20,sK25,sK26,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK25,sK26,sK20,sK20)
| ~ eqangle(sK25,sK27,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40491]) ).
tcf(c_41915,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK27)
| ~ coll(X0,X1,sK27)
| ~ cong(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_41916,plain,
( midp(sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_41915]) ).
tcf(c_41919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK27)
| ~ coll(X1,X3,sK27)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_41920,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK27)
| ~ para(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_41919]) ).
tcf(c_42500,plain,
! [X0: $i,X1: $i] :
( midp(sK29,X0,X1)
| ~ coll(sK29,X0,X1)
| ~ cong(sK29,X0,sK29,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_42501,plain,
( midp(sK29,sK20,sK20)
| ~ coll(sK29,sK20,sK20)
| ~ cong(sK29,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_42500]) ).
tcf(c_43332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK27,sK28)
| ~ perp(X2,X3,sK27,sK28)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_43333,plain,
( para(sK20,sK20,sK27,sK28)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_43332]) ).
tcf(c_44192,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK29,X1)
| ~ coll(X0,sK29,X1)
| ~ cong(X0,sK29,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_44975,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ coll(X0,sK27,sK27)
| ~ cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_39670]) ).
tcf(c_44977,plain,
( midp(sK20,sK27,sK27)
| ~ coll(sK20,sK27,sK27)
| ~ cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_44975]) ).
tcf(c_45124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK28,X2,X3,X0,X1,X2,X3)
| ~ para(sK27,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_45125,plain,
( eqangle(sK27,sK28,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK27,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_45124]) ).
tcf(c_46625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK27,sK28,X6,X7,sK26,sK29,X4,X5)
| ~ eqangle(sK27,sK28,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK26,sK29,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_46626,plain,
( eqangle(sK27,sK28,sK20,sK20,sK26,sK29,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK26,sK29,sK20,sK20)
| ~ eqangle(sK27,sK28,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_46625]) ).
tcf(c_47683,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X0,X1)
| ~ para(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_47684,plain,
( para(sK20,sK27,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_47683]) ).
tcf(c_48039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK27)
| ~ perp(X2,X3,X4,sK27)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_48040,plain,
( para(sK20,sK20,sK20,sK27)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_48039]) ).
tcf(c_48042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X3,X2,sK27)
| ~ midp(X3,X1,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_48043,plain,
( para(sK20,sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_48042]) ).
tcf(c_48472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(sK29,X0,sK29,X3,X1,X2,X4,X5)
| ~ eqratio(sK29,X0,X1,X2,sK29,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_48473,plain,
( eqratio(sK29,sK20,sK29,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK29,sK20,sK20,sK20,sK29,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48472]) ).
tcf(c_49443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK25,sK26,X2,X3)
| ~ para(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_49444,plain,
( eqangle(sK20,sK20,sK20,sK20,sK25,sK26,sK20,sK20)
| ~ para(sK20,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_49443]) ).
tcf(c_56035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK26,sK29)
| ~ perp(X2,X3,sK26,sK29)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_56036,plain,
( para(sK20,sK20,sK26,sK29)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_56035]) ).
tcf(c_57022,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK27)
| ~ midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_57023,plain,
( cong(sK20,sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_57022]) ).
tcf(c_57355,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK27,sK28)
| ~ cong(X0,sK28,X1,sK28)
| ~ cong(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_57356,plain,
( perp(sK20,sK20,sK27,sK28)
| ~ cong(sK20,sK28,sK20,sK28)
| ~ cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_57355]) ).
tcf(c_62652,plain,
! [X0: $i] :
( midp(X0,sK29,sK29)
| ~ coll(X0,sK29,sK29)
| ~ cong(X0,sK29,X0,sK29) ),
inference(instantiation,[status(thm)],[c_44192]) ).
tcf(c_62654,plain,
( midp(sK20,sK29,sK29)
| ~ coll(sK20,sK29,sK29)
| ~ cong(sK20,sK29,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_62652]) ).
tcf(c_66698,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_84992,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK29)
| ~ cong(X0,sK29,X1,sK29)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_84993,plain,
( perp(sK20,sK20,sK26,sK29)
| ~ cong(sK20,sK29,sK20,sK29)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_84992]) ).
tcf(c_101319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK26,sK29,X2,X3)
| ~ para(X0,X1,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_101320,plain,
( eqangle(sK20,sK20,sK20,sK20,sK26,sK29,sK20,sK20)
| ~ para(sK20,sK20,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_101319]) ).
tcf(c_109307,plain,
! [X0: $i,X1: $i] :
( coll(X1,X0,sK1(X0,X1,X0,X1))
| ~ cong(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[c_127,c_95]) ).
tcf(c_116582,plain,
( coll(sK1(sK20,sK27,sK20,sK27),sK21,sK27)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(resolution,[status(thm)],[c_109307,c_1212]) ).
tcf(c_117710,plain,
~ cong(sK20,sK20,sK20,sK27),
inference(global_subsumption_just,[status(thm)],[c_116582,c_169,c_168,c_163,c_162,c_179,c_183,c_188,c_237,c_286,c_292,c_304,c_332,c_523,c_626,c_788,c_811,c_815,c_854,c_874,c_920,c_939,c_1067,c_1484,c_1627,c_1865,c_2223,c_2349,c_2816,c_3463,c_4561,c_4739,c_4767,c_4821,c_4827,c_4829,c_4847,c_5094,c_5254,c_8045,c_12078,c_17155,c_18266,c_18269,c_24393,c_24692,c_27344,c_28082,c_29157,c_32207,c_32232,c_32244,c_32258,c_37955,c_38159,c_38336,c_39426,c_39664,c_39924,c_40093,c_40457,c_40492,c_41916,c_43333,c_44977,c_45125,c_46626,c_47684,c_48043,c_49444,c_56036,c_57356,c_66698,c_84993,c_101320]) ).
tcf(c_231185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqratio(sK29,X0,X0,X2,sK29,X1,X1,X3)
| ~ coll(sK29,X1,X3)
| ~ coll(sK29,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_231186,plain,
( eqratio(sK29,sK20,sK20,sK20,sK29,sK20,sK20,sK20)
| ~ coll(sK29,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_231185]) ).
tcf(c_231187,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_231186,c_117710,c_62654,c_57023,c_48473,c_48040,c_42501,c_41920,c_34491,c_32265,c_32225,c_29149,c_18269,c_18266,c_16259,c_13999,c_12078,c_8045,c_5137,c_4947,c_4847,c_3463,c_3102,c_2349,c_1957,c_1918,c_1888,c_1865,c_1685,c_1627,c_854,c_523,c_332,c_306,c_293,c_286,c_237,c_188,c_183,c_179,c_163,c_172,c_169,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO584+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Sep 23 12:34:49 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 165.53/22.99 % SZS status Started for theBenchmark.p
% 165.53/22.99 % SZS status Theorem for theBenchmark.p
% 165.53/22.99
% 165.53/22.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 165.53/22.99
% 165.53/22.99 % ------ iProver source info
% 165.53/22.99
% 165.53/22.99 % git: date: 2026-07-19 20:42:38 +0200
% 165.53/22.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 165.53/22.99 % git: non_committed_changes: false
% 165.53/22.99
% 165.53/22.99 % ------ Parsing...
% 165.53/22.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 165.53/22.99
% 165.53/22.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 165.53/22.99
% 165.53/22.99 % ------ Preprocessing...%
% 165.53/22.99
% 165.53/22.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 165.53/22.99 % ------ Proving...
% 165.53/22.99 % ------ Problem Properties
% 165.53/22.99
% 165.53/22.99 %
% 165.53/22.99 % clauses 124
% 165.53/22.99 % conjectures 12
% 165.53/22.99 % EPR 87
% 165.53/22.99 % Horn 114
% 165.53/22.99 % unary 12
% 165.53/22.99 % binary 37
% 165.53/22.99 % lits 340
% 165.53/22.99 % lits eq 4
% 165.53/22.99 % fd_pure 0
% 165.53/22.99 % fd_pseudo 0
% 165.53/22.99 % fd_cond 0
% 165.53/22.99 % fd_pseudo_cond 4
% 165.53/22.99 % AC symbols 0
% 165.53/22.99
% 165.53/22.99 % ------ Input Options Time Limit: Unbounded
% 165.53/22.99
% 165.53/22.99
% 165.53/22.99 % ------
% 165.53/22.99 % Current options:
% 165.53/22.99 % ------
% 165.53/22.99
% 165.53/22.99
% 165.53/22.99 %
% 165.53/22.99
% 165.53/22.99 % ------ Proving...
% 165.53/22.99 %
% 165.53/22.99
% 165.53/22.99 % SZS status Theorem for theBenchmark.p
% 165.53/22.99
% 165.53/22.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.98/23.00
% 90.98/23.00
%------------------------------------------------------------------------------