%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO571+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 : n012.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 01:21:30 PM UTC 2026
% Result : Theorem 31.31s 15.30s
% Output : CNFRefutation 31.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 34
% Syntax : Number of formulae : 431 ( 91 unt; 0 def)
% Number of atoms : 1021 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1080 ( 490 ~; 484 |; 71 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 976 ( 0 sgn 952 !; 24 ?; 354 :)
% 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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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(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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/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(f85,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X1,X1,X4)
& cong(X4,X2,X4,X3) )
=> ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX9) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X1,X1,X7)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X4,X6)
& coll(X5,X2,X4)
& coll(X5,X0,X1)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X1,X1,X7)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X4,X6)
& coll(X5,X2,X4)
& coll(X5,X0,X1)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
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(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
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(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(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
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(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(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(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
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(f230,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
inference(flattening,[],[f230]) ).
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] :
( perp(X0,X1,X1,X7)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X4,X6)
& coll(X5,X2,X4)
& coll(X5,X0,X1)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( perp(X0,X1,X1,X7)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X4,X6)
& coll(X5,X2,X4)
& coll(X5,X0,X1)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
inference(flattening,[],[f249]) ).
fof(f260,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
& para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
& cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X5,sK8(X0,X1,X2,X3,X4))],[f231]) ).
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,
( perp(sK20,sK21,sK21,sK27)
& perp(sK22,sK24,sK22,sK27)
& perp(sK20,sK21,sK20,sK26)
& perp(sK22,sK24,sK24,sK26)
& coll(sK25,sK22,sK24)
& coll(sK25,sK20,sK21)
& circle(sK23,sK20,sK24,sK28)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
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(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
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(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(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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
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(f365,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f260]) ).
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,
perp(sK20,sK21,sK21,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
perp(sK20,sK21,sK20,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK22,sK24,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22),
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_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
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_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
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_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_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
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_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_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_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
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_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X2,X3,X2,sK8(X0,X1,X3,X4,X2))
| ~ cong(X2,X3,X2,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f365]) ).
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(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22),
inference(cnf_transformation,[],[f392]) ).
tcf(c_165,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f388]) ).
tcf(c_167,negated_conjecture,
perp(sK22,sK24,sK24,sK26),
inference(cnf_transformation,[],[f387]) ).
tcf(c_168,negated_conjecture,
perp(sK20,sK21,sK20,sK26),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
perp(sK20,sK21,sK21,sK27),
inference(cnf_transformation,[],[f384]) ).
tcf(c_176,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_180,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_185,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_234,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_361,plain,
( coll(sK20,sK25,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_363,plain,
( perp(sK22,sK24,sK26,sK24)
| ~ perp(sK22,sK24,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_364,plain,
( perp(sK20,sK21,sK26,sK20)
| ~ perp(sK20,sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_368,plain,
( perp(sK20,sK26,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_370,plain,
( perp(sK21,sK27,sK20,sK21)
| ~ perp(sK20,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK26)
| ~ perp(sK20,sK21,sK20,sK26)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_384,plain,
( para(sK20,sK20,sK20,sK26)
| ~ perp(sK20,sK21,sK20,sK26)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_383]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK27)
| ~ perp(sK20,sK21,sK21,sK27)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_421,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_431,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_432,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_437,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_421,c_50]) ).
tcf(c_454,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_431,c_49]) ).
tcf(c_456,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_432,c_49]) ).
tcf(c_481,plain,
perp(sK22,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_55]) ).
tcf(c_482,plain,
perp(sK20,sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_488,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK25,sK21)
| ~ coll(sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_489,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK25,sK21)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_488]) ).
tcf(c_505,plain,
perp(sK26,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_481,c_56]) ).
tcf(c_506,plain,
perp(sK26,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_482,c_56]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK24)
| ~ perp(sK22,sK24,sK26,sK24)
| ~ perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK20)
| ~ perp(sK20,sK21,sK26,sK20)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_601,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_603,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_421,c_51]) ).
tcf(c_607,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_454,c_51]) ).
tcf(c_608,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_437,c_51]) ).
tcf(c_610,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_456,c_51]) ).
tcf(c_616,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_660,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_165,c_601]) ).
tcf(c_663,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_660,c_49]) ).
tcf(c_679,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_663,c_51]) ).
tcf(c_682,plain,
( coll(sK21,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_679]) ).
tcf(c_697,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_421,c_603]) ).
tcf(c_700,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_697,c_49]) ).
tcf(c_710,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_700,c_51]) ).
tcf(c_713,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_710]) ).
tcf(c_869,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_454,c_607]) ).
tcf(c_870,plain,
( para(sK20,sK26,sK20,sK26)
| ~ perp(sK20,sK21,sK20,sK26)
| ~ perp(sK20,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_383]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
tcf(c_888,plain,
( para(sK21,sK27,sK21,sK27)
| ~ perp(sK21,sK27,sK20,sK21)
| ~ perp(sK20,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_925,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_456,c_610]) ).
tcf(c_927,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_925,c_51]) ).
tcf(c_930,plain,
( coll(sK22,sK20,sK25)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_1000,plain,
perp(sK20,sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_1002,plain,
perp(sK20,sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_170,c_55]) ).
tcf(c_1004,plain,
perp(sK24,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_1005,plain,
perp(sK20,sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_1007,plain,
perp(sK21,sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_170,c_56]) ).
tcf(c_1020,plain,
perp(sK27,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_1002,c_56]) ).
tcf(c_1023,plain,
perp(sK24,sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_1004,c_55]) ).
tcf(c_1196,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK27) ),
inference(superposition,[status(thm)],[c_170,c_101]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1)
| ~ coll(sK26,X0,X1)
| ~ perp(sK22,sK24,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_1227,plain,
( perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ perp(sK22,sK24,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_1226]) ).
tcf(c_1240,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK27) ),
inference(superposition,[status(thm)],[c_1196,c_71]) ).
tcf(c_1267,plain,
! [X0: $i] :
( cong(X0,sK21,sK20,X0)
| ~ midp(X0,sK20,sK27) ),
inference(superposition,[status(thm)],[c_1240,c_72]) ).
tcf(c_1292,plain,
( cong(sK20,sK20,sK20,sK26)
| ~ midp(sK21,sK20,sK26) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
tcf(c_1302,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK27,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1007,c_104]) ).
tcf(c_1306,plain,
( cong(sK27,sK20,sK27,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1020,c_104]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK22,sK26,sK24,X0,X1),sK22)
| ~ perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1321,plain,
( perp(sK20,sK20,sK16(sK22,sK26,sK24,sK20,sK20),sK22)
| ~ perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1319]) ).
tcf(c_1322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK22,sK26,sK24,X0,X1),sK22)
| ~ perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1323,plain,
( para(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK22,sK26,sK24,sK20,sK20),sK22)
| ~ perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1322]) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ perp(sK24,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_1384,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_1388,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK26,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_1000,c_57]) ).
tcf(c_1391,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK26,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_1004,c_57]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK26,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1005,c_57]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK27,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1007,c_57]) ).
tcf(c_1637,plain,
perp(sK20,sK26,sK20,sK21),
inference(resolution,[status(thm)],[c_56,c_168]) ).
tcf(c_1661,plain,
( cong(sK20,sK26,sK20,sK20)
| ~ midp(sK21,sK20,sK26) ),
inference(superposition,[status(thm)],[c_1292,c_72]) ).
tcf(c_1693,plain,
para(sK22,sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_1023,c_1383]) ).
tcf(c_1702,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_1005,c_1384]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK27)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1196,c_73]) ).
tcf(c_1859,plain,
( para(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK27) ),
inference(superposition,[status(thm)],[c_1240,c_872]) ).
tcf(c_1860,plain,
( para(sK20,sK20,sK20,sK26)
| ~ midp(sK21,sK20,sK26) ),
inference(superposition,[status(thm)],[c_1292,c_872]) ).
tcf(c_1976,plain,
para(sK24,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_1693,c_53]) ).
tcf(c_2262,plain,
! [X0: $i] :
( coll(sK22,sK25,X0)
| ~ coll(sK22,X0,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2263,plain,
( coll(sK22,sK25,sK20)
| ~ coll(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2262]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_2548,plain,
perp(sK20,sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_2565,plain,
perp(sK26,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_2548,c_56]) ).
tcf(c_2706,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_2565,c_1388]) ).
tcf(c_2716,plain,
para(sK24,sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_1976,c_52]) ).
tcf(c_2784,plain,
( midp(sK20,sK26,sK20)
| ~ midp(sK21,sK20,sK26)
| ~ coll(sK20,sK26,sK20) ),
inference(superposition,[status(thm)],[c_1661,c_116]) ).
tcf(c_3190,plain,
( para(sK26,sK24,sK26,sK24)
| ~ perp(sK22,sK24,sK26,sK24)
| ~ perp(sK26,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_523]) ).
tcf(c_3217,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK26,X2,X0)
| ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3288,plain,
! [X0: $i,X1: $i] :
( coll(sK27,X1,X0)
| ~ coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3291,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK27,X2,X0)
| ~ coll(X0,X1,sK27)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3342,plain,
( para(sK26,sK20,sK26,sK20)
| ~ perp(sK26,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_543]) ).
tcf(c_3599,plain,
! [X0: $i,X1: $i] :
( coll(X1,X0,sK22)
| ~ coll(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_3741,plain,
( midp(sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK27)
| ~ coll(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1267,c_116]) ).
tcf(c_4063,plain,
( midp(sK27,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK27,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1306,c_116]) ).
tcf(c_4189,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK26,X1)
| ~ coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_4190,plain,
( coll(sK20,sK26,sK20)
| ~ coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4189]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_4674,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4670]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK20,sK26) ),
inference(resolution,[status(thm)],[c_58,c_1637]) ).
tcf(c_5309,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK26)
| ~ coll(sK26,X0,X2)
| ~ coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5310,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5309]) ).
tcf(c_5370,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK25,sK26)
| ~ coll(sK22,sK25,X0) ),
inference(instantiation,[status(thm)],[c_3217]) ).
tcf(c_5371,plain,
( coll(sK26,sK20,sK22)
| ~ coll(sK22,sK25,sK26)
| ~ coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_5370]) ).
tcf(c_5529,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK27)
| ~ coll(sK27,X0,X2)
| ~ coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5530,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5529]) ).
tcf(c_5891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(X2,X3,sK20,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_5090,c_57]) ).
tcf(c_5893,plain,
( para(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_5891]) ).
tcf(c_6018,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK20,sK27) ),
inference(superposition,[status(thm)],[c_1267,c_1787]) ).
tcf(c_6399,plain,
perp(sK20,sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_170,c_55]) ).
tcf(c_6875,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_168,c_1392]) ).
tcf(c_6878,plain,
para(sK20,sK26,sK27,sK21),
inference(superposition,[status(thm)],[c_6399,c_1392]) ).
tcf(c_6922,plain,
para(sK27,sK21,sK20,sK26),
inference(superposition,[status(thm)],[c_6878,c_53]) ).
tcf(c_7003,plain,
para(sK21,sK27,sK21,sK27),
inference(superposition,[status(thm)],[c_170,c_1394]) ).
tcf(c_7005,plain,
para(sK21,sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_6399,c_1394]) ).
tcf(c_7018,plain,
para(sK27,sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_7005,c_53]) ).
tcf(c_7048,plain,
! [X0: $i] :
( midp(sK21,X0,sK26)
| ~ midp(sK27,X0,sK20)
| ~ coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_6922,c_94]) ).
tcf(c_7051,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_2706,c_94]) ).
tcf(c_7065,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7051]) ).
tcf(c_7068,plain,
( midp(sK21,sK20,sK26)
| ~ midp(sK27,sK20,sK20)
| ~ coll(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7048]) ).
tcf(c_7106,plain,
! [X0: $i] :
( midp(sK21,X0,sK27)
| ~ midp(sK27,X0,sK21)
| ~ coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_7018,c_94]) ).
tcf(c_7113,plain,
( midp(sK21,sK20,sK27)
| ~ midp(sK27,sK20,sK21)
| ~ coll(sK21,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_7106]) ).
tcf(c_7347,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_6875,c_113]) ).
tcf(c_7352,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK27,sK21,sK27) ),
inference(superposition,[status(thm)],[c_7003,c_113]) ).
tcf(c_7362,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_2706,c_113]) ).
tcf(c_7387,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7362]) ).
tcf(c_7396,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK21,sK21)
| ~ para(sK21,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_7352]) ).
tcf(c_7401,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7347]) ).
tcf(c_7641,plain,
! [X0: $i,X1: $i] :
( coll(sK26,X0,X1)
| ~ para(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_7642,plain,
( coll(sK26,sK20,sK20)
| ~ para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_7641]) ).
tcf(c_7643,plain,
! [X0: $i,X1: $i] :
( coll(sK27,X0,X1)
| ~ para(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_7644,plain,
( coll(sK27,sK20,sK20)
| ~ para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_7643]) ).
tcf(c_8281,plain,
( eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22)
| ~ eqangle(sK20,sK25,sK27,sK25,sK25,sK26,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10871,plain,
( coll(sK22,sK25,sK26)
| ~ coll(sK22,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_2262]) ).
tcf(c_11594,plain,
! [X0: $i] :
( coll(X0,sK26,sK22)
| ~ coll(sK26,X0,sK22) ),
inference(instantiation,[status(thm)],[c_3599]) ).
tcf(c_11598,plain,
( coll(sK20,sK26,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_11594]) ).
tcf(c_11909,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK27,X1,sK27,X2)
| ~ midp(X0,sK27,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_11910,plain,
( para(sK27,sK20,sK27,sK20)
| ~ midp(sK20,sK27,sK27)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11909]) ).
tcf(c_13165,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK25,X0,X1)
| ~ perp(X0,X1,X1,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_13166,plain,
( perp(sK20,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_13165]) ).
tcf(c_13789,plain,
! [X0: $i] :
( coll(sK27,sK21,sK20)
| ~ coll(sK20,X0,sK21)
| ~ coll(sK20,X0,sK27) ),
inference(instantiation,[status(thm)],[c_3291]) ).
tcf(c_13790,plain,
( coll(sK27,sK21,sK20)
| ~ coll(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_13789]) ).
tcf(c_14102,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_14103,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_14126,plain,
perp(sK22,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_55]) ).
tcf(c_14129,plain,
perp(sK20,sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_170,c_55]) ).
tcf(c_14166,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_14167,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
tcf(c_14168,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_14102,c_51]) ).
tcf(c_14169,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_14103,c_51]) ).
tcf(c_14182,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_166,c_14167]) ).
tcf(c_14183,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_14182,c_51]) ).
tcf(c_14212,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_14102,c_14168]) ).
tcf(c_14247,plain,
( coll(sK20,sK20,sK26)
| ~ midp(sK21,sK20,sK26) ),
inference(superposition,[status(thm)],[c_1860,c_115]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK21,sK20,sK26)
| ~ para(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_1860,c_54]) ).
tcf(c_14282,plain,
coll(sK20,sK20,sK26),
inference(global_subsumption_just,[status(thm)],[c_14247,c_168,c_364,c_506,c_3342,c_5310,c_7642]) ).
tcf(c_14284,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_14282,c_51]) ).
tcf(c_14290,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_14212,c_14284]) ).
tcf(c_14548,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_14126,c_1391]) ).
tcf(c_14566,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_14548,c_53]) ).
tcf(c_14613,plain,
para(sK20,sK26,sK21,sK27),
inference(superposition,[status(thm)],[c_170,c_1392]) ).
tcf(c_14628,plain,
( para(sK20,sK20,sK21,sK27)
| ~ midp(sK21,sK20,sK26) ),
inference(superposition,[status(thm)],[c_14613,c_14280]) ).
tcf(c_14688,plain,
! [X0: $i] :
( midp(sK20,X0,sK27)
| ~ midp(sK21,sK20,sK26)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_14628,c_94]) ).
tcf(c_14695,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK21,sK20,sK26)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_14688]) ).
tcf(c_14721,plain,
para(sK21,sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_14129,c_1394]) ).
tcf(c_14771,plain,
para(sK27,sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_14721,c_53]) ).
tcf(c_15182,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X0,sK27,sK8(sK20,sK21,X0,X1,sK27))
| ~ cong(sK27,X0,sK27,X1) ),
inference(superposition,[status(thm)],[c_170,c_141]) ).
tcf(c_15271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK27,X0,X2,X3)
| ~ cong(sK27,X0,sK27,X1)
| ~ cong(sK27,sK8(sK20,sK21,X0,X1,sK27),X2,X3) ),
inference(superposition,[status(thm)],[c_15182,c_73]) ).
tcf(c_15272,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK8(sK20,sK21,X0,X1,sK27),sK27,X0)
| ~ cong(sK27,X0,sK27,X1) ),
inference(superposition,[status(thm)],[c_15182,c_72]) ).
tcf(c_16220,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X0,sK27,X0)
| ~ cong(sK27,X0,sK27,X1) ),
inference(superposition,[status(thm)],[c_15272,c_15271]) ).
tcf(c_17688,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_17689,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17688]) ).
tcf(c_17692,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_17693,plain,
( perp(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17692]) ).
tcf(c_17696,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK22)
| ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_17697,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17696]) ).
tcf(c_18741,plain,
para(sK24,sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_1976,c_52]) ).
tcf(c_18768,plain,
( coll(sK27,sK20,sK21)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_3288]) ).
tcf(c_19814,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ coll(sK27,X0,X1)
| ~ cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_19815,plain,
( midp(sK27,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| ~ cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_19814]) ).
tcf(c_20621,plain,
coll(sK25,sK26,sK20),
inference(superposition,[status(thm)],[c_14290,c_50]) ).
tcf(c_20642,plain,
coll(sK25,sK20,sK26),
inference(superposition,[status(thm)],[c_20621,c_49]) ).
tcf(c_20854,plain,
coll(sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_20642,c_14166]) ).
tcf(c_20872,plain,
coll(sK26,sK21,sK25),
inference(superposition,[status(thm)],[c_20854,c_50]) ).
tcf(c_20876,plain,
coll(sK26,sK25,sK21),
inference(superposition,[status(thm)],[c_20872,c_49]) ).
tcf(c_20921,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK25,X0) ),
inference(superposition,[status(thm)],[c_20876,c_51]) ).
tcf(c_20924,plain,
( coll(sK21,sK20,sK26)
| ~ coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_20921]) ).
tcf(c_21085,plain,
para(sK26,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_14566,c_52]) ).
tcf(c_21261,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK24,sK26,sK24) ),
inference(superposition,[status(thm)],[c_21085,c_113]) ).
tcf(c_21267,plain,
coll(sK26,sK24,sK24),
inference(superposition,[status(thm)],[c_21085,c_115]) ).
tcf(c_21270,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK26,sK26)
| ~ para(sK26,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_21261]) ).
tcf(c_21316,plain,
para(sK27,sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_14771,c_52]) ).
tcf(c_21709,plain,
coll(sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_21267,c_50]) ).
tcf(c_21715,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_21709,c_49]) ).
tcf(c_21722,plain,
coll(sK25,sK26,sK24),
inference(superposition,[status(thm)],[c_21715,c_14183]) ).
tcf(c_21724,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK22,sK24,sK22) ),
inference(superposition,[status(thm)],[c_18741,c_113]) ).
tcf(c_21732,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK24,sK24)
| ~ para(sK24,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_21724]) ).
tcf(c_21768,plain,
coll(sK27,sK21,sK21),
inference(superposition,[status(thm)],[c_21316,c_115]) ).
tcf(c_21774,plain,
coll(sK25,sK24,sK26),
inference(superposition,[status(thm)],[c_21722,c_49]) ).
tcf(c_22029,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_21768,c_51]) ).
tcf(c_22033,plain,
( coll(sK21,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_22029]) ).
tcf(c_22057,plain,
coll(sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_21774,c_14169]) ).
tcf(c_23398,plain,
cong(sK27,sK20,sK27,sK21),
inference(global_subsumption_just,[status(thm)],[c_1306,c_168,c_167,c_176,c_180,c_234,c_364,c_437,c_506,c_682,c_700,c_713,c_1227,c_1306,c_1321,c_1323,c_3342,c_4674,c_7065,c_7642]) ).
tcf(c_23418,plain,
cong(sK27,sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_23398,c_16220]) ).
tcf(c_24011,plain,
! [X0: $i] :
( cong(X0,sK25,X0,sK25)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_24013,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_24011]) ).
tcf(c_24126,plain,
para(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_1859,c_170,c_168,c_167,c_176,c_180,c_185,c_234,c_364,c_370,c_384,c_437,c_506,c_616,c_682,c_700,c_713,c_888,c_1227,c_1321,c_1323,c_1702,c_3342,c_4063,c_4674,c_5530,c_5893,c_6018,c_7065,c_7113,c_7387,c_7396,c_7642,c_7644,c_11910,c_13790,c_17689,c_18768,c_22033]) ).
tcf(c_24129,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_24126,c_94]) ).
tcf(c_24136,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24129]) ).
tcf(c_28672,plain,
! [X0: $i] :
( cong(X0,sK22,X0,sK22)
| ~ midp(X0,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_28675,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_28672]) ).
tcf(c_30732,plain,
perp(sK20,sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_30734,plain,
perp(sK21,sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_170,c_56]) ).
tcf(c_30856,plain,
para(sK20,sK20,sK20,sK26),
inference(global_subsumption_just,[status(thm)],[c_1860,c_170,c_168,c_167,c_176,c_180,c_234,c_364,c_370,c_384,c_437,c_506,c_616,c_682,c_700,c_713,c_888,c_1227,c_1321,c_1323,c_1702,c_3342,c_4063,c_4674,c_5530,c_6018,c_7065,c_7113,c_7387,c_7396,c_7642,c_7644,c_11910,c_13790,c_17689,c_18768,c_22033]) ).
tcf(c_30884,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK27,sK20,sK21) ),
inference(superposition,[status(thm)],[c_30734,c_104]) ).
tcf(c_30956,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK20,X0,X1)
| ~ perp(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_30856,c_58]) ).
tcf(c_30975,plain,
perp(sK20,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_30732,c_30956]) ).
tcf(c_30987,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_30975,c_57]) ).
tcf(c_31036,plain,
para(sK20,sK20,sK21,sK27),
inference(superposition,[status(thm)],[c_170,c_30987]) ).
tcf(c_31042,plain,
para(sK21,sK27,sK20,sK20),
inference(superposition,[status(thm)],[c_31036,c_53]) ).
tcf(c_31075,plain,
cong(sK21,sK20,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_30884,c_170,c_168,c_167,c_176,c_180,c_234,c_364,c_370,c_437,c_506,c_616,c_682,c_700,c_713,c_888,c_1227,c_1302,c_1321,c_1323,c_1702,c_3342,c_4063,c_4674,c_5530,c_7065,c_7387,c_7396,c_7642,c_7644,c_11910,c_13790,c_18768]) ).
tcf(c_31078,plain,
( midp(sK21,sK20,sK21)
| ~ coll(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_31075,c_116]) ).
tcf(c_31524,plain,
! [X0: $i] :
( midp(X0,sK27,sK20)
| ~ midp(X0,sK21,sK20)
| ~ para(sK21,sK20,sK20,sK27) ),
inference(superposition,[status(thm)],[c_31042,c_113]) ).
tcf(c_34667,plain,
midp(sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_31078,c_168,c_167,c_176,c_180,c_234,c_364,c_437,c_506,c_682,c_700,c_713,c_1227,c_1321,c_1323,c_3342,c_4674,c_7065,c_7642]) ).
tcf(c_34672,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_34667,c_59]) ).
tcf(c_34686,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_34672,c_112]) ).
tcf(c_34750,plain,
! [X0: $i] :
( midp(X0,sK27,sK20)
| ~ midp(sK21,sK20,sK27)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_34686,c_31524]) ).
tcf(c_34751,plain,
( midp(sK20,sK27,sK20)
| ~ midp(sK21,sK20,sK27)
| ~ midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_34750]) ).
tcf(c_38994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK25,X2,X3)
| ~ perp(sK20,sK25,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_38995,plain,
( para(sK20,sK25,sK20,sK20)
| ~ perp(sK20,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38994]) ).
tcf(c_41707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X0,sK22)
| ~ perp(X2,X3,X0,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_41708,plain,
( para(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_41707]) ).
tcf(c_45804,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK25,sK25)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK25,X1,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_45805,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_45804]) ).
tcf(c_49621,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK26,sK22)
| ~ coll(X1,sK26,sK22)
| ~ midp(X0,sK26,X2)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_49622,plain,
( midp(sK20,sK26,sK22)
| ~ midp(sK20,sK26,sK20)
| ~ coll(sK20,sK26,sK22)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49621]) ).
tcf(c_50013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK25,sK27,sK25,sK25,sK26,sK25,sK22)
| ~ eqangle(sK20,sK25,sK27,sK25,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK25,sK26,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_52528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK25,X2,X3)
| ~ para(sK20,sK25,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_52529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK25,X2,X3)
| ~ eqangle(sK20,sK25,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_52576,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,sK26,X1,X2)
| ~ midp(X0,sK26,X2)
| ~ midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_52780,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK25,X0,X1,sK25,sK26,sK25,sK26)
| ~ para(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_2383]) ).
tcf(c_55862,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,sK25,X1)
| ~ midp(sK20,X0,X2)
| ~ para(X0,sK25,X2,X1)
| ~ para(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_55863,plain,
( midp(sK20,sK25,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_55862]) ).
tcf(c_56181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK25)
| ~ perp(X2,X3,sK20,sK25)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_56182,plain,
( para(sK20,sK20,sK20,sK25)
| ~ perp(sK20,sK20,sK20,sK25)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_56181]) ).
tcf(c_56636,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK27,sK25,X2,X1)
| ~ midp(X0,sK27,X2)
| ~ midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_56637,plain,
( para(sK27,sK25,sK20,sK20)
| ~ midp(sK20,sK27,sK20)
| ~ midp(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_56636]) ).
tcf(c_57690,plain,
! [X0: $i] :
( para(sK20,sK25,sK20,sK25)
| ~ eqangle(sK20,sK25,sK20,X0,sK20,sK25,sK20,X0) ),
inference(instantiation,[status(thm)],[c_52529]) ).
tcf(c_57692,plain,
( para(sK20,sK25,sK20,sK25)
| ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57690]) ).
tcf(c_57708,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK25,X0,X1,sK20,sK25,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_2349]) ).
tcf(c_57709,plain,
( eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57708]) ).
tcf(c_59292,plain,
( eqangle(sK20,sK25,sK27,sK25,sK25,sK26,sK25,sK26)
| ~ para(sK20,sK25,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_52780]) ).
tcf(c_59293,plain,
( eqangle(sK20,sK25,sK27,sK25,sK25,sK26,sK25,sK22)
| ~ eqangle(sK25,sK26,sK25,sK26,sK25,sK26,sK25,sK22)
| ~ eqangle(sK20,sK25,sK27,sK25,sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_50013]) ).
tcf(c_59296,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK25,sK27,sK25)
| ~ para(sK20,sK25,X0,X1)
| ~ para(X0,X1,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_52528]) ).
tcf(c_59297,plain,
( para(sK20,sK25,sK27,sK25)
| ~ para(sK20,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_59296]) ).
tcf(c_62822,plain,
( eqangle(sK25,sK26,sK25,sK26,sK25,sK26,sK25,sK22)
| ~ para(sK25,sK26,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_2349]) ).
tcf(c_63318,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK25)
| ~ para(sK27,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_63319,plain,
( para(sK20,sK20,sK27,sK25)
| ~ para(sK27,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_63318]) ).
tcf(c_66005,plain,
! [X0: $i] :
( para(sK25,sK26,sK25,sK22)
| ~ midp(X0,sK26,sK22)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_52576]) ).
tcf(c_66008,plain,
( para(sK25,sK26,sK25,sK22)
| ~ midp(sK20,sK26,sK22)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_66005]) ).
tcf(c_66009,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_66008,c_63319,c_62822,c_59297,c_59293,c_59292,c_57709,c_57692,c_56637,c_56182,c_55863,c_49622,c_45805,c_41708,c_38995,c_34751,c_28675,c_24136,c_24013,c_23418,c_22057,c_22033,c_21732,c_21270,c_20924,c_19815,c_18768,c_17697,c_17693,c_14695,c_14290,c_13790,c_13166,c_11910,c_11598,c_10871,c_8281,c_7644,c_7642,c_7401,c_7396,c_7387,c_7113,c_7068,c_7065,c_5530,c_5371,c_4674,c_4190,c_4063,c_3741,c_3342,c_3190,c_2784,c_2716,c_2263,c_1702,c_1323,c_1321,c_1227,c_930,c_888,c_870,c_869,c_713,c_700,c_682,c_616,c_505,c_506,c_489,c_437,c_370,c_368,c_364,c_363,c_361,c_234,c_185,c_180,c_176,c_162,c_167,c_168,c_170,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO571+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.53 % Computer : n012.cluster.edu
% 0.03/10.53 % Model : x86_64 x86_64
% 0.03/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.53 % Memory : 8046.5625MB
% 0.03/10.53 % OS : Linux 6.8.0-71-generic
% 0.03/10.53 % CPULimit : 300
% 0.03/10.53 % WCLimit : 300
% 0.03/10.53 % DateTime : Wed Sep 23 12:26:52 UTC 2026
% 0.03/10.53 % CPUTime :
% 0.03/10.53 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.55 Running first-order theorem proving
% 0.03/10.55 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
% 0.03/10.55
% 0.03/10.55 % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.55
% 0.03/10.55 % Detected problem language: tptp
% 0.03/10.56 % Proving...
% 31.31/15.30 % SZS status Started for theBenchmark.p
% 31.31/15.30 % SZS status Theorem for theBenchmark.p
% 31.31/15.30
% 31.31/15.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.31/15.30
% 31.31/15.30 % ------ iProver source info
% 31.31/15.30
% 31.31/15.30 % git: date: 2026-07-19 20:42:38 +0200
% 31.31/15.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.31/15.30 % git: non_committed_changes: false
% 31.31/15.30
% 31.31/15.30 % ------ Parsing...
% 31.31/15.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.31/15.30
% 31.31/15.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 31.31/15.30
% 31.31/15.30 % ------ Preprocessing...%
% 31.31/15.30
% 31.31/15.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.31/15.30 % ------ Proving...
% 31.31/15.30 % ------ Problem Properties
% 31.31/15.30
% 31.31/15.30 %
% 31.31/15.30 % clauses 121
% 31.31/15.30 % conjectures 9
% 31.31/15.30 % EPR 84
% 31.31/15.30 % Horn 111
% 31.31/15.30 % unary 9
% 31.31/15.30 % binary 37
% 31.31/15.30 % lits 337
% 31.31/15.30 % lits eq 4
% 31.31/15.30 % fd_pure 0
% 31.31/15.30 % fd_pseudo 0
% 31.31/15.30 % fd_cond 0
% 31.31/15.30 % fd_pseudo_cond 4
% 31.31/15.30 % AC symbols 0
% 31.31/15.30
% 31.31/15.30 % ------ Input Options Time Limit: Unbounded
% 31.31/15.30
% 31.31/15.30
% 31.31/15.30 % ------
% 31.31/15.30 % Current options:
% 31.31/15.30 % ------
% 31.31/15.30
% 31.31/15.30
% 31.31/15.30 %
% 31.31/15.30
% 31.31/15.30 % ------ Proving...
% 31.31/15.30 %
% 31.31/15.30
% 31.31/15.30 % SZS status Theorem for theBenchmark.p
% 31.31/15.30
% 31.31/15.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.31/15.31
% 31.31/15.31
%------------------------------------------------------------------------------