%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO549+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 : n002.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 01:21:26 PM UTC 2026
% Result : Theorem 163.55s 24.99s
% Output : CNFRefutation 163.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 402 ( 60 unt; 0 def)
% Number of atoms : 1006 ( 0 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 1077 ( 473 ~; 466 |; 102 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 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 : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-4 aty)
% Number of variables : 1122 ( 0 sgn1087 !; 35 ?; 407 :)
% 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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD26) ).
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(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(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(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(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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(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(f79,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( ( eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
& perp(X2,X3,X0,X1) )
=> ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X12,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X11,X0,X1)
& perp(X11,X5,X0,X1)
& coll(X10,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X4)
& perp(X8,X7,X0,X4)
& circle(X3,X0,X7,X15)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X14)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X1,X2) )
=> eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012009) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X12,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X11,X0,X1)
& perp(X11,X5,X0,X1)
& coll(X10,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X4)
& perp(X8,X7,X0,X4)
& circle(X3,X0,X7,X15)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X14)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X1,X2) )
=> eqangle(X6,X11,X11,X10,X8,X12,X12,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(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f26]) ).
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(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(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(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(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(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(f218,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ perp(X2,X3,X0,X1)
| ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ perp(X2,X3,X0,X1)
| ( coll(X4,X2,X3)
& coll(X1,X0,X4) ) ),
inference(flattening,[],[f218]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( coll(X12,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X11,X0,X1)
& perp(X11,X5,X0,X1)
& coll(X10,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X4)
& perp(X8,X7,X0,X4)
& circle(X3,X0,X7,X15)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X14)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X1,X2)
& ~ eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( coll(X12,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X11,X0,X1)
& perp(X11,X5,X0,X1)
& coll(X10,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X4)
& perp(X8,X7,X0,X4)
& circle(X3,X0,X7,X15)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X14)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X1,X2)
& ~ eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
inference(flattening,[],[f249]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ perp(X2,X3,X0,X1)
| ( coll(sK2(X0,X1,X2,X3),X2,X3)
& coll(X1,X0,sK2(X0,X1,X2,X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2,X3))],[f219]) ).
fof(f270,plain,
( coll(sK32,sK20,sK21)
& perp(sK32,sK27,sK20,sK21)
& coll(sK31,sK20,sK21)
& perp(sK31,sK25,sK20,sK21)
& coll(sK30,sK20,sK22)
& perp(sK30,sK25,sK20,sK22)
& coll(sK29,sK20,sK22)
& perp(sK29,sK27,sK20,sK22)
& coll(sK28,sK20,sK24)
& perp(sK28,sK27,sK20,sK24)
& circle(sK23,sK20,sK27,sK35)
& coll(sK26,sK20,sK24)
& perp(sK26,sK25,sK20,sK24)
& circle(sK23,sK20,sK25,sK34)
& circle(sK23,sK20,sK24,sK33)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),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),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f132]) ).
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(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(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(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(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(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(f352,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X2,X2,X3,X2,X3,X2,X1)
| ~ perp(X2,X3,X0,X1)
| coll(X1,X0,sK2(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f385,plain,
perp(sK32,sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK31,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK30,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
perp(sK28,sK27,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
perp(sK26,sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f400,plain,
~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,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_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_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_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f296]) ).
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_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_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_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_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_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_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X3,X0,sK2(X0,X3,X1,X2))
| ~ perp(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X1,X2,X1,X2,X1,X3) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_162,negated_conjecture,
~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29),
inference(cnf_transformation,[],[f400]) ).
tcf(c_166,negated_conjecture,
perp(sK26,sK25,sK20,sK24),
inference(cnf_transformation,[],[f396]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f395]) ).
tcf(c_169,negated_conjecture,
perp(sK28,sK27,sK20,sK24),
inference(cnf_transformation,[],[f393]) ).
tcf(c_171,negated_conjecture,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_172,negated_conjecture,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_173,negated_conjecture,
perp(sK30,sK25,sK20,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_175,negated_conjecture,
perp(sK31,sK25,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_177,negated_conjecture,
perp(sK32,sK27,sK20,sK21),
inference(cnf_transformation,[],[f385]) ).
tcf(c_184,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_188,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_193,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_242,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_280,plain,
( coll(sK26,sK24,sK20)
| ~ coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_282,plain,
( coll(sK29,sK22,sK20)
| ~ coll(sK29,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_290,plain,
( coll(sK20,sK26,sK24)
| ~ coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_292,plain,
( coll(sK20,sK29,sK22)
| ~ coll(sK29,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_310,plain,
( perp(sK20,sK24,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_312,plain,
( perp(sK20,sK22,sK29,sK27)
| ~ perp(sK29,sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_313,plain,
( perp(sK20,sK22,sK30,sK25)
| ~ perp(sK30,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_314,plain,
( perp(sK20,sK21,sK31,sK25)
| ~ perp(sK31,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_315,plain,
( perp(sK20,sK21,sK32,sK27)
| ~ perp(sK32,sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_452,plain,
coll(sK26,sK24,sK20),
inference(resolution,[status(thm)],[c_49,c_167]) ).
tcf(c_488,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_490,plain,
coll(sK20,sK29,sK22),
inference(superposition,[status(thm)],[c_172,c_50]) ).
tcf(c_519,plain,
coll(sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_488,c_49]) ).
tcf(c_530,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK24,sK20)
| ~ coll(sK26,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_531,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_566,plain,
! [X0: $i] :
( coll(X0,sK20,sK29)
| ~ coll(sK29,sK22,sK20)
| ~ coll(sK29,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_567,plain,
( coll(sK20,sK20,sK29)
| ~ coll(sK29,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_622,plain,
! [X0: $i] :
( coll(X0,sK24,sK20)
| ~ coll(sK20,sK26,sK24)
| ~ coll(sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_623,plain,
( coll(sK20,sK24,sK20)
| ~ coll(sK20,sK26,sK24)
| ~ coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_622]) ).
tcf(c_654,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK29,sK22)
| ~ coll(sK20,sK29,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_655,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK29,sK22)
| ~ coll(sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_654]) ).
tcf(c_921,plain,
perp(sK20,sK21,sK32,sK27),
inference(resolution,[status(thm)],[c_56,c_177]) ).
tcf(c_924,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK25)
| ~ perp(sK20,sK24,sK26,sK25)
| ~ perp(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_944,plain,
coll(sK20,sK22,sK29),
inference(superposition,[status(thm)],[c_490,c_49]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK29,sK27)
| ~ perp(sK20,sK22,sK29,sK27)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_961,plain,
( perp(sK20,sK22,sK25,sK30)
| ~ perp(sK20,sK22,sK30,sK25) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_979,plain,
( perp(sK20,sK21,sK25,sK31)
| ~ perp(sK20,sK21,sK31,sK25) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_997,plain,
( perp(sK20,sK21,sK27,sK32)
| ~ perp(sK20,sK21,sK32,sK27) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_1158,plain,
perp(sK20,sK21,sK27,sK32),
inference(resolution,[status(thm)],[c_921,c_55]) ).
tcf(c_1203,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_519,c_51]) ).
tcf(c_1206,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1203]) ).
tcf(c_1253,plain,
! [X0: $i] :
( coll(X0,sK24,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(resolution,[status(thm)],[c_51,c_167]) ).
tcf(c_1255,plain,
! [X0: $i] :
( coll(X0,sK22,sK29)
| ~ coll(sK29,sK20,X0) ),
inference(resolution,[status(thm)],[c_51,c_172]) ).
tcf(c_1259,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(resolution,[status(thm)],[c_51,c_452]) ).
tcf(c_1369,plain,
! [X0: $i] :
( coll(sK29,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_944,c_51]) ).
tcf(c_1372,plain,
( coll(sK29,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_1369]) ).
tcf(c_1621,plain,
coll(sK24,sK24,sK26),
inference(resolution,[status(thm)],[c_1253,c_167]) ).
tcf(c_1635,plain,
! [X0: $i] :
( coll(X0,sK26,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(resolution,[status(thm)],[c_1621,c_51]) ).
tcf(c_1668,plain,
coll(sK22,sK22,sK29),
inference(resolution,[status(thm)],[c_1255,c_172]) ).
tcf(c_1682,plain,
! [X0: $i] :
( coll(X0,sK29,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(resolution,[status(thm)],[c_1668,c_51]) ).
tcf(c_2020,plain,
( perp(sK25,sK30,sK20,sK22)
| ~ perp(sK20,sK22,sK25,sK30) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_2022,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK30)
| ~ perp(sK20,sK22,sK25,sK30)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2046,plain,
( perp(sK25,sK31,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK31) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK31)
| ~ perp(sK20,sK21,sK25,sK31)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2083,plain,
perp(sK27,sK32,sK20,sK21),
inference(resolution,[status(thm)],[c_1158,c_56]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK32)
| ~ perp(sK20,sK21,sK27,sK32)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2098,plain,
coll(sK20,sK20,sK26),
inference(resolution,[status(thm)],[c_1259,c_452]) ).
tcf(c_2107,plain,
! [X0: $i] :
( coll(X0,sK26,sK20)
| ~ coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2108,plain,
( coll(sK20,sK26,sK20)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2107]) ).
tcf(c_2116,plain,
( coll(sK26,sK20,sK26)
| ~ coll(sK26,sK24,sK20)
| ~ coll(sK26,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_2130,plain,
coll(sK20,sK26,sK20),
inference(resolution,[status(thm)],[c_2098,c_49]) ).
tcf(c_2313,plain,
! [X0: $i] :
( coll(X0,sK29,sK20)
| ~ coll(X0,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2314,plain,
( coll(sK20,sK29,sK20)
| ~ coll(sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_2313]) ).
tcf(c_2326,plain,
( coll(sK29,sK20,sK29)
| ~ coll(sK29,sK22,sK20)
| ~ coll(sK29,sK22,sK29) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_2637,plain,
perp(sK20,sK24,sK26,sK25),
inference(superposition,[status(thm)],[c_166,c_56]) ).
tcf(c_2638,plain,
perp(sK20,sK24,sK28,sK27),
inference(superposition,[status(thm)],[c_169,c_56]) ).
tcf(c_2639,plain,
perp(sK20,sK22,sK29,sK27),
inference(superposition,[status(thm)],[c_171,c_56]) ).
tcf(c_2640,plain,
perp(sK20,sK22,sK30,sK25),
inference(superposition,[status(thm)],[c_173,c_56]) ).
tcf(c_2641,plain,
perp(sK20,sK21,sK31,sK25),
inference(superposition,[status(thm)],[c_175,c_56]) ).
tcf(c_2642,plain,
perp(sK20,sK21,sK32,sK27),
inference(superposition,[status(thm)],[c_177,c_56]) ).
tcf(c_2678,plain,
( para(sK26,sK25,sK26,sK25)
| ~ perp(sK20,sK24,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_924]) ).
tcf(c_2682,plain,
( para(sK29,sK27,sK29,sK27)
| ~ perp(sK20,sK22,sK29,sK27)
| ~ perp(sK29,sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_952]) ).
tcf(c_2708,plain,
coll(sK26,sK26,sK24),
inference(resolution,[status(thm)],[c_1635,c_1621]) ).
tcf(c_2713,plain,
coll(sK26,sK24,sK26),
inference(resolution,[status(thm)],[c_2708,c_49]) ).
tcf(c_2773,plain,
coll(sK29,sK29,sK22),
inference(resolution,[status(thm)],[c_1682,c_1668]) ).
tcf(c_2779,plain,
perp(sK20,sK24,sK27,sK28),
inference(superposition,[status(thm)],[c_2638,c_55]) ).
tcf(c_2782,plain,
coll(sK29,sK22,sK29),
inference(resolution,[status(thm)],[c_2773,c_49]) ).
tcf(c_2788,plain,
perp(sK20,sK22,sK25,sK30),
inference(superposition,[status(thm)],[c_2640,c_55]) ).
tcf(c_2795,plain,
perp(sK20,sK21,sK25,sK31),
inference(superposition,[status(thm)],[c_2641,c_55]) ).
tcf(c_2809,plain,
perp(sK20,sK21,sK27,sK32),
inference(superposition,[status(thm)],[c_2642,c_55]) ).
tcf(c_3254,plain,
! [X0: $i] :
( coll(X0,sK20,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(resolution,[status(thm)],[c_2130,c_51]) ).
tcf(c_3255,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_3254]) ).
tcf(c_3434,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK25,X0,X1,sK26,sK25,X0,X1)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3436,plain,
( eqangle(sK26,sK25,sK20,sK20,sK26,sK25,sK20,sK20)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_3434]) ).
tcf(c_3442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK26,sK25,sK26,sK25)
| ~ eqangle(X0,X1,X2,X3,sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_3443,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK26,sK25,sK26,sK25)
| ~ eqangle(sK20,sK20,sK20,sK20,sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_3442]) ).
tcf(c_3511,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
tcf(c_3512,plain,
! [X0: $i,X1: $i] :
( para(sK28,sK27,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_57]) ).
tcf(c_3513,plain,
! [X0: $i,X1: $i] :
( para(sK29,sK27,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_171,c_57]) ).
tcf(c_3514,plain,
! [X0: $i,X1: $i] :
( para(sK30,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_173,c_57]) ).
tcf(c_3515,plain,
! [X0: $i,X1: $i] :
( para(sK31,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_57]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( para(sK32,sK27,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_177,c_57]) ).
tcf(c_4556,plain,
para(sK26,sK25,sK26,sK25),
inference(superposition,[status(thm)],[c_2637,c_3511]) ).
tcf(c_4564,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(superposition,[status(thm)],[c_4556,c_113]) ).
tcf(c_4568,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK26,sK26)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_4564]) ).
tcf(c_6188,plain,
para(sK28,sK27,sK27,sK28),
inference(superposition,[status(thm)],[c_2779,c_3512]) ).
tcf(c_6244,plain,
para(sK27,sK28,sK28,sK27),
inference(superposition,[status(thm)],[c_6188,c_53]) ).
tcf(c_6297,plain,
para(sK27,sK28,sK27,sK28),
inference(superposition,[status(thm)],[c_6244,c_52]) ).
tcf(c_6405,plain,
! [X0: $i] :
( midp(X0,sK28,sK28)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK28,sK27,sK28) ),
inference(superposition,[status(thm)],[c_6297,c_113]) ).
tcf(c_6409,plain,
( midp(sK20,sK28,sK28)
| ~ midp(sK20,sK27,sK27)
| ~ para(sK27,sK28,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_6405]) ).
tcf(c_6428,plain,
para(sK29,sK27,sK29,sK27),
inference(superposition,[status(thm)],[c_2639,c_3513]) ).
tcf(c_6433,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK29,sK29)
| ~ para(sK29,sK27,sK29,sK27) ),
inference(superposition,[status(thm)],[c_6428,c_113]) ).
tcf(c_6438,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK29,sK29) ),
inference(global_subsumption_just,[status(thm)],[c_6433,c_171,c_312,c_2682,c_6433]) ).
tcf(c_6440,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_6438]) ).
tcf(c_6841,plain,
( para(sK25,sK30,sK25,sK30)
| ~ perp(sK25,sK30,sK20,sK22)
| ~ perp(sK20,sK22,sK25,sK30) ),
inference(instantiation,[status(thm)],[c_2022]) ).
tcf(c_6846,plain,
( para(sK25,sK31,sK25,sK31)
| ~ perp(sK25,sK31,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK31) ),
inference(instantiation,[status(thm)],[c_2048]) ).
tcf(c_6863,plain,
( para(sK27,sK32,sK27,sK32)
| ~ perp(sK27,sK32,sK20,sK21)
| ~ perp(sK20,sK21,sK27,sK32) ),
inference(instantiation,[status(thm)],[c_2086]) ).
tcf(c_7254,plain,
para(sK30,sK25,sK25,sK30),
inference(superposition,[status(thm)],[c_2788,c_3514]) ).
tcf(c_7271,plain,
para(sK25,sK30,sK30,sK25),
inference(superposition,[status(thm)],[c_7254,c_53]) ).
tcf(c_7300,plain,
para(sK25,sK30,sK25,sK30),
inference(superposition,[status(thm)],[c_7271,c_52]) ).
tcf(c_7426,plain,
! [X0: $i] :
( midp(X0,sK30,sK30)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK30,sK25,sK30) ),
inference(superposition,[status(thm)],[c_7300,c_113]) ).
tcf(c_7430,plain,
( midp(sK20,sK30,sK30)
| ~ midp(sK20,sK25,sK25)
| ~ para(sK25,sK30,sK25,sK30) ),
inference(instantiation,[status(thm)],[c_7426]) ).
tcf(c_7657,plain,
( eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29)
| ~ eqangle(sK28,sK32,sK32,sK29,sK26,sK31,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_7985,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_7986,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7985]) ).
tcf(c_8083,plain,
! [X0: $i] :
( coll(X0,sK26,sK26)
| ~ coll(sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_8084,plain,
( coll(sK20,sK26,sK26)
| ~ coll(sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_8083]) ).
tcf(c_8225,plain,
para(sK31,sK25,sK25,sK31),
inference(superposition,[status(thm)],[c_2795,c_3515]) ).
tcf(c_8281,plain,
! [X0: $i] :
( coll(X0,sK29,sK29)
| ~ coll(sK29,X0,sK29) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_8282,plain,
( coll(sK20,sK29,sK29)
| ~ coll(sK29,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_8281]) ).
tcf(c_8349,plain,
para(sK25,sK31,sK31,sK25),
inference(superposition,[status(thm)],[c_8225,c_53]) ).
tcf(c_8592,plain,
para(sK25,sK31,sK25,sK31),
inference(superposition,[status(thm)],[c_8349,c_52]) ).
tcf(c_8864,plain,
! [X0: $i] :
( midp(X0,sK31,sK31)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK31,sK25,sK31) ),
inference(superposition,[status(thm)],[c_8592,c_113]) ).
tcf(c_8868,plain,
( midp(sK20,sK31,sK31)
| ~ midp(sK20,sK25,sK25)
| ~ para(sK25,sK31,sK25,sK31) ),
inference(instantiation,[status(thm)],[c_8864]) ).
tcf(c_9218,plain,
para(sK32,sK27,sK27,sK32),
inference(superposition,[status(thm)],[c_2809,c_3516]) ).
tcf(c_9235,plain,
para(sK27,sK32,sK32,sK27),
inference(superposition,[status(thm)],[c_9218,c_53]) ).
tcf(c_9252,plain,
para(sK27,sK32,sK27,sK32),
inference(superposition,[status(thm)],[c_9235,c_52]) ).
tcf(c_9362,plain,
! [X0: $i] :
( midp(X0,sK32,sK32)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK32,sK27,sK32) ),
inference(superposition,[status(thm)],[c_9252,c_113]) ).
tcf(c_9366,plain,
( midp(sK20,sK32,sK32)
| ~ midp(sK20,sK27,sK27)
| ~ para(sK27,sK32,sK27,sK32) ),
inference(instantiation,[status(thm)],[c_9362]) ).
tcf(c_10540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK26,sK25,sK26,sK25)
| ~ eqangle(X0,X1,sK26,sK25,X2,X3,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10541,plain,
( eqangle(sK20,sK20,sK20,sK20,sK26,sK25,sK26,sK25)
| ~ eqangle(sK20,sK20,sK26,sK25,sK20,sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_10540]) ).
tcf(c_12099,plain,
( eqangle(sK28,sK32,sK32,sK29,sK26,sK31,sK31,sK30)
| ~ eqangle(sK32,sK28,sK32,sK29,sK26,sK31,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_16058,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK26,sK25,X0,X1,sK26,sK25)
| ~ eqangle(sK26,sK25,X0,X1,sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_16059,plain,
( eqangle(sK20,sK20,sK26,sK25,sK20,sK20,sK26,sK25)
| ~ eqangle(sK26,sK25,sK20,sK20,sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16058]) ).
tcf(c_30925,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK26,X1,sK26)
| ~ midp(sK26,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_30926,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30925]) ).
tcf(c_30928,plain,
! [X0: $i] :
( cong(X0,sK28,X0,sK28)
| ~ midp(X0,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_30930,plain,
( cong(sK20,sK28,sK20,sK28)
| ~ midp(sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_30928]) ).
tcf(c_30946,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK29,X1,sK29)
| ~ cong(X0,sK29,sK29,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_30947,plain,
( cong(sK20,sK29,sK20,sK29)
| ~ cong(sK20,sK29,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_30946]) ).
tcf(c_30954,plain,
! [X0: $i] :
( cong(X0,sK30,X0,sK30)
| ~ midp(X0,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_30956,plain,
( cong(sK20,sK30,sK20,sK30)
| ~ midp(sK20,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_30954]) ).
tcf(c_30967,plain,
! [X0: $i] :
( cong(X0,sK31,X0,sK31)
| ~ midp(X0,sK31,sK31) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_30969,plain,
( cong(sK20,sK31,sK20,sK31)
| ~ midp(sK20,sK31,sK31) ),
inference(instantiation,[status(thm)],[c_30967]) ).
tcf(c_30980,plain,
! [X0: $i] :
( cong(X0,sK32,X0,sK32)
| ~ midp(X0,sK32,sK32) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_30982,plain,
( cong(sK20,sK32,sK20,sK32)
| ~ midp(sK20,sK32,sK32) ),
inference(instantiation,[status(thm)],[c_30980]) ).
tcf(c_36996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK26,X2,X3,X1,sK26)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_36997,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36996]) ).
tcf(c_37002,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X1,sK26,X1,sK26,X0,sK26)
| ~ cong(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_37004,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_37002]) ).
tcf(c_39035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK32,sK28,sK32,sK29,sK26,sK31,sK31,sK30)
| ~ eqangle(sK32,sK28,sK32,sK29,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK26,sK31,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_39036,plain,
( eqangle(sK32,sK28,sK32,sK29,sK26,sK31,sK31,sK30)
| ~ eqangle(sK20,sK20,sK20,sK20,sK26,sK31,sK31,sK30)
| ~ eqangle(sK32,sK28,sK32,sK29,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39035]) ).
tcf(c_42298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK26,sK31,sK31,sK30,X0,X1,X2,X3)
| ~ eqangle(sK26,sK31,X0,X1,sK31,sK30,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_42299,plain,
( eqangle(sK26,sK31,sK31,sK30,sK20,sK20,sK20,sK20)
| ~ eqangle(sK26,sK31,sK20,sK20,sK31,sK30,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42298]) ).
tcf(c_42592,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK31,X0,X1)
| ~ para(X0,X1,sK26,sK31) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_42593,plain,
( para(sK26,sK31,sK20,sK20)
| ~ para(sK20,sK20,sK26,sK31) ),
inference(instantiation,[status(thm)],[c_42592]) ).
tcf(c_42770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK26,sK31,sK31,sK30)
| ~ eqangle(sK26,sK31,sK31,sK30,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_42771,plain,
( eqangle(sK20,sK20,sK20,sK20,sK26,sK31,sK31,sK30)
| ~ eqangle(sK26,sK31,sK31,sK30,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42770]) ).
tcf(c_42789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK26,sK31,X6,X7,sK31,sK30,X4,X5)
| ~ eqangle(sK26,sK31,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK31,sK30,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_42790,plain,
( eqangle(sK26,sK31,sK20,sK20,sK31,sK30,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK31,sK30,sK20,sK20)
| ~ eqangle(sK26,sK31,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42789]) ).
tcf(c_43649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK26,sK31)
| ~ perp(X2,X3,sK26,sK31)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_43650,plain,
( para(sK20,sK20,sK26,sK31)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK31) ),
inference(instantiation,[status(thm)],[c_43649]) ).
tcf(c_44403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK32,sK28,sK32,sK29,X2,X3,X0,X1)
| ~ eqangle(sK32,sK29,sK32,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_44404,plain,
( eqangle(sK32,sK28,sK32,sK29,sK20,sK20,sK20,sK20)
| ~ eqangle(sK32,sK29,sK32,sK28,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44403]) ).
tcf(c_44506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK26,sK31,X2,X3,X0,X1,X2,X3)
| ~ para(sK26,sK31,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_44507,plain,
( eqangle(sK26,sK31,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK26,sK31,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44506]) ).
tcf(c_45284,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK26,X1)
| ~ coll(X0,sK26,X1)
| ~ cong(X0,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_47558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK31,sK30)
| ~ perp(X2,X3,sK31,sK30)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_47559,plain,
( para(sK20,sK20,sK31,sK30)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_47558]) ).
tcf(c_47763,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK31)
| ~ cong(X0,sK31,X1,sK31)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_47764,plain,
( perp(sK20,sK20,sK26,sK31)
| ~ cong(sK20,sK31,sK20,sK31)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_47763]) ).
tcf(c_47888,plain,
! [X0: $i,X1: $i] :
( para(sK32,sK29,X0,X1)
| ~ para(X0,X1,sK32,sK29) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_47889,plain,
( para(sK32,sK29,sK20,sK20)
| ~ para(sK20,sK20,sK32,sK29) ),
inference(instantiation,[status(thm)],[c_47888]) ).
tcf(c_48767,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_48893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK26,X3,X2)
| ~ coll(sK26,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_48894,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48893]) ).
tcf(c_49715,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ coll(X0,sK26,sK26)
| ~ cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_45284]) ).
tcf(c_49717,plain,
( midp(sK20,sK26,sK26)
| ~ coll(sK20,sK26,sK26)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_49715]) ).
tcf(c_49736,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK26)
| ~ cong(X0,X1,sK26,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_49737,plain,
( cong(sK20,sK20,sK20,sK26)
| ~ cong(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_49736]) ).
tcf(c_50019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK32,sK29,sK32,sK28,X0,X1,X2,X3)
| ~ eqangle(sK32,sK29,X0,X1,sK32,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_50020,plain,
( eqangle(sK32,sK29,sK32,sK28,sK20,sK20,sK20,sK20)
| ~ eqangle(sK32,sK29,sK20,sK20,sK32,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_50019]) ).
tcf(c_52849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK26)
| ~ eqangle(X0,X1,X2,X3,X4,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_53570,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_53571,plain,
( eqratio(sK29,sK20,sK29,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK29,sK20,sK20,sK20,sK29,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53570]) ).
tcf(c_53972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK26,X0,sK26,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK26,X0,sK26,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_53975,plain,
( perp(sK26,sK20,sK26,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53972]) ).
tcf(c_54340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK32,sK28)
| ~ perp(X2,X3,sK32,sK28)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_54341,plain,
( para(sK20,sK20,sK32,sK28)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK32,sK28) ),
inference(instantiation,[status(thm)],[c_54340]) ).
tcf(c_60200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,sK29,sK29,X1)
| ~ cong(X2,X3,X4,X5)
| ~ eqratio(X0,sK29,sK29,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_60201,plain,
( cong(sK20,sK29,sK29,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK20,sK29,sK29,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60200]) ).
tcf(c_60333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK32,sK29)
| ~ perp(X2,X3,sK32,sK29)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_60334,plain,
( para(sK20,sK20,sK32,sK29)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK32,sK29) ),
inference(instantiation,[status(thm)],[c_60333]) ).
tcf(c_61714,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK31,sK30)
| ~ cong(X0,sK30,X1,sK30)
| ~ cong(X0,sK31,X1,sK31) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_61715,plain,
( perp(sK20,sK20,sK31,sK30)
| ~ cong(sK20,sK30,sK20,sK30)
| ~ cong(sK20,sK31,sK20,sK31) ),
inference(instantiation,[status(thm)],[c_61714]) ).
tcf(c_61940,plain,
! [X0: $i,X1: $i] :
( cong(X0,X0,sK26,X0)
| ~ midp(X0,X0,X1)
| ~ perp(X0,sK26,sK26,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_61941,plain,
( cong(sK20,sK20,sK26,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_61940]) ).
tcf(c_62664,plain,
! [X0: $i,X1: $i] :
( perp(sK26,X0,X1,sK26)
| ~ perp(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_62665,plain,
( perp(sK26,sK20,sK20,sK26)
| ~ perp(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_62664]) ).
tcf(c_63733,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK26,X0,X1)
| ~ para(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_63734,plain,
( para(sK20,sK26,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_63733]) ).
tcf(c_65925,plain,
! [X0: $i] :
( midp(X0,sK29,sK29)
| ~ coll(X0,sK29,sK29)
| ~ cong(X0,sK29,X0,sK29) ),
inference(instantiation,[status(thm)],[c_48767]) ).
tcf(c_65927,plain,
( midp(sK20,sK29,sK29)
| ~ coll(sK20,sK29,sK29)
| ~ cong(sK20,sK29,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_65925]) ).
tcf(c_66915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK31,sK30,X2,X3)
| ~ para(X0,X1,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_66916,plain,
( eqangle(sK20,sK20,sK20,sK20,sK31,sK30,sK20,sK20)
| ~ para(sK20,sK20,sK31,sK30) ),
inference(instantiation,[status(thm)],[c_66915]) ).
tcf(c_67203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK32,sK29,X2,X3,X0,X1,X2,X3)
| ~ para(sK32,sK29,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_67204,plain,
( eqangle(sK32,sK29,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK32,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_67203]) ).
tcf(c_68836,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK26,sK26,X0)
| ~ perp(sK26,X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_68837,plain,
( perp(sK20,sK26,sK26,sK20)
| ~ perp(sK26,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_68836]) ).
tcf(c_70161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK32,sK29,X6,X7,sK32,sK28,X4,X5)
| ~ eqangle(sK32,sK29,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK32,sK28,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_70162,plain,
( eqangle(sK32,sK29,sK20,sK20,sK32,sK28,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK32,sK28,sK20,sK20)
| ~ eqangle(sK32,sK29,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_70161]) ).
tcf(c_70662,plain,
! [X0: $i] :
( para(X0,X0,X0,sK26)
| ~ eqangle(X0,X0,X0,sK26,X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_52849]) ).
tcf(c_70664,plain,
( para(sK20,sK20,sK20,sK26)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_70662]) ).
tcf(c_73269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK32,sK28,X2,X3)
| ~ para(X0,X1,sK32,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_73270,plain,
( eqangle(sK20,sK20,sK20,sK20,sK32,sK28,sK20,sK20)
| ~ para(sK20,sK20,sK32,sK28) ),
inference(instantiation,[status(thm)],[c_73269]) ).
tcf(c_83271,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK32,sK28)
| ~ cong(X0,sK32,X1,sK32)
| ~ cong(X0,sK28,X1,sK28) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_83272,plain,
( perp(sK20,sK20,sK32,sK28)
| ~ cong(sK20,sK32,sK20,sK32)
| ~ cong(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_83271]) ).
tcf(c_87095,plain,
! [X0: $i,X1: $i] :
( coll(X1,X0,sK2(X0,X1,X0,X1))
| ~ cong(X0,X0,X0,X1)
| ~ perp(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[c_95,c_129]) ).
tcf(c_93206,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK32,sK29)
| ~ cong(X0,sK29,X1,sK29)
| ~ cong(X0,sK32,X1,sK32) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_93207,plain,
( perp(sK20,sK20,sK32,sK29)
| ~ cong(sK20,sK29,sK20,sK29)
| ~ cong(sK20,sK32,sK20,sK32) ),
inference(instantiation,[status(thm)],[c_93206]) ).
tcf(c_109453,plain,
( coll(sK2(sK20,sK26,sK20,sK26),sK24,sK26)
| ~ cong(sK20,sK20,sK20,sK26)
| ~ perp(sK20,sK26,sK20,sK26) ),
inference(resolution,[status(thm)],[c_87095,c_1253]) ).
tcf(c_117191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(X0,sK29,sK29,X1,X2,X3,X4,X5)
| ~ eqratio(sK29,X0,sK29,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_117192,plain,
( eqratio(sK20,sK29,sK29,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK29,sK20,sK29,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_117191]) ).
tcf(c_117856,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_117857,plain,
( eqratio(sK29,sK20,sK20,sK20,sK29,sK20,sK20,sK20)
| ~ coll(sK29,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_117856]) ).
tcf(c_117920,plain,
~ cong(sK20,sK20,sK20,sK26),
inference(global_subsumption_just,[status(thm)],[c_109453,c_172,c_167,c_177,c_175,c_173,c_166,c_162,c_184,c_188,c_193,c_242,c_280,c_282,c_290,c_292,c_310,c_313,c_314,c_315,c_531,c_567,c_623,c_655,c_961,c_979,c_997,c_1206,c_1372,c_2020,c_2046,c_2083,c_2108,c_2116,c_2314,c_2326,c_2678,c_2713,c_2782,c_3255,c_3436,c_3443,c_4568,c_6297,c_6409,c_6440,c_6841,c_6846,c_6863,c_7430,c_7657,c_7986,c_8084,c_8282,c_8868,c_9366,c_10541,c_12099,c_16059,c_30926,c_30930,c_30947,c_30956,c_30969,c_30982,c_37004,c_39036,c_42299,c_42593,c_42771,c_42790,c_43650,c_44404,c_44507,c_47559,c_47764,c_47889,c_48894,c_49717,c_50020,c_53571,c_54341,c_60201,c_60334,c_61715,c_63734,c_65927,c_66916,c_67204,c_70162,c_70664,c_73270,c_83272,c_93207,c_117192,c_117857]) ).
tcf(c_197928,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK26,X2)
| ~ cyclic(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_197929,plain,
( cyclic(sK20,sK20,sK26,sK20)
| ~ cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_197928]) ).
tcf(c_198205,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK26,X0,X2)
| ~ coll(X0,X2,sK26)
| ~ eqangle(X0,X1,X0,sK26,X2,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_198206,plain,
( cyclic(sK20,sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_198205]) ).
tcf(c_251472,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK26,X0,sK26,X1,X2,X0,X2,X1)
| ~ cyclic(X0,X1,sK26,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_251473,plain,
( eqangle(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_251472]) ).
tcf(c_251474,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_251473,c_198206,c_197929,c_117920,c_68837,c_62665,c_61941,c_53975,c_49737,c_36997,c_16059,c_10541,c_7986,c_3443,c_3436,c_3255,c_2678,c_2108,c_531,c_310,c_280,c_242,c_193,c_188,c_184,c_166,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:24:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 163.55/24.99 % SZS status Started for theBenchmark.p
% 163.55/24.99 % SZS status Theorem for theBenchmark.p
% 163.55/24.99
% 163.55/24.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 163.55/24.99
% 163.55/24.99 % ------ iProver source info
% 163.55/24.99
% 163.55/24.99 % git: date: 2026-07-19 20:42:38 +0200
% 163.55/24.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 163.55/24.99 % git: non_committed_changes: false
% 163.55/24.99
% 163.55/24.99 % ------ Parsing...
% 163.55/24.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 163.55/24.99
% 163.55/24.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 163.55/24.99
% 163.55/24.99 % ------ Preprocessing...%
% 163.55/24.99
% 163.55/24.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 163.55/24.99 % ------ Proving...
% 163.55/24.99 % ------ Problem Properties
% 163.55/24.99
% 163.55/24.99 %
% 163.55/24.99 % clauses 129
% 163.55/24.99 % conjectures 17
% 163.55/24.99 % EPR 92
% 163.55/24.99 % Horn 119
% 163.55/24.99 % unary 17
% 163.55/24.99 % binary 37
% 163.55/24.99 % lits 345
% 163.55/24.99 % lits eq 4
% 163.55/24.99 % fd_pure 0
% 163.55/24.99 % fd_pseudo 0
% 163.55/24.99 % fd_cond 0
% 163.55/24.99 % fd_pseudo_cond 4
% 163.55/24.99 % AC symbols 0
% 163.55/24.99
% 163.55/24.99 % ------ Input Options Time Limit: Unbounded
% 163.55/24.99
% 163.55/24.99
% 163.55/24.99 % ------
% 163.55/24.99 % Current options:
% 163.55/24.99 % ------
% 163.55/24.99
% 163.55/24.99
% 163.55/24.99 %
% 163.55/24.99
% 163.55/24.99 % ------ Proving...
% 163.55/24.99 %
% 163.55/24.99
% 163.55/24.99 % SZS status Theorem for theBenchmark.p
% 163.55/24.99
% 163.55/24.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 163.55/24.99
% 163.55/24.99
%------------------------------------------------------------------------------