%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO594+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 01:21:35 PM UTC 2026
% Result : Theorem 13.71s 2.99s
% Output : CNFRefutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 40
% Syntax : Number of formulae : 445 ( 49 unt; 0 def)
% Number of atoms : 1139 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1263 ( 569 ~; 583 |; 70 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 1077 ( 0 sgn1059 !; 18 ?; 380 :)
% 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(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(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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(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(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X3,X0,X2)
& perp(X0,X3,X1,X2) )
=> ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX10) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> cong(X2,X5,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) ) )
=> cong(X2,X5,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5] :
( para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) )
& ~ cong(X2,X5,X2,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5] :
( para(X0,X3,X5,X2)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X3,X0,X1,X2)
& ( cong(X2,X0,X2,X1)
| cong(X2,X0,X0,X1) )
& ~ cong(X2,X5,X2,X4) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(flattening,[],[f106]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,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(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,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(f137,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,[],[f136]) ).
fof(f142,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(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f146]) ).
fof(f148,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,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,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(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f152]) ).
fof(f154,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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f162,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(f163,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f172,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(f173,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f181]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f187]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f196,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(f198,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(f202,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f202]) ).
fof(f206,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(f207,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,[],[f206]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( para(sK0,sK3,sK5,sK2)
& perp(sK0,sK3,sK0,sK5)
& coll(sK4,sK0,sK1)
& coll(sK4,sK2,sK3)
& circle(sK3,sK0,sK1,sK2)
& ( cong(sK2,sK0,sK2,sK1)
| cong(sK2,sK0,sK0,sK1) )
& ~ cong(sK2,sK5,sK2,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f99]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,sK10(X0,X1,X2,X3),X2,X0)
& coll(sK10(X0,X1,X2,X3),X2,X0)
& perp(X0,sK9(X0,X1,X2,X3),X2,X1)
& coll(sK9(X0,X1,X2,X3),X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X4,sK9(X0,X1,X2,X3)),skolemize(X5,sK10(X0,X1,X2,X3))],[f107]) ).
fof(f239,plain,
para(sK0,sK3,sK5,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
perp(sK0,sK3,sK0,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK4,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
( cong(sK2,sK0,sK2,sK1)
| cong(sK2,sK0,sK0,sK1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
~ cong(sK2,sK5,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| coll(sK9(X0,X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f271,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,[],[f127]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f281,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,[],[f137]) ).
fof(f284,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,[],[f143]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f289,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,[],[f151]) ).
fof(f290,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,[],[f153]) ).
fof(f291,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,[],[f155]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f303,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,[],[f173]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f186]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f188]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f317,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,[],[f196]) ).
fof(f319,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,[],[f198]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f325,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,[],[f207]) ).
fof(f326,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,[],[f209]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cong(sK2,sK5,sK2,sK4),
inference(cnf_transformation,[],[f245]) ).
tcf(c_50,negated_conjecture,
( cong(sK2,sK0,sK0,sK1)
| cong(sK2,sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_51,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK2,sK3),
inference(cnf_transformation,[],[f242]) ).
tcf(c_53,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_54,negated_conjecture,
perp(sK0,sK3,sK0,sK5),
inference(cnf_transformation,[],[f240]) ).
tcf(c_55,negated_conjecture,
para(sK0,sK3,sK5,sK2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(sK9(X0,X2,X3,X1),X3,X2)
| ~ perp(X2,X1,X0,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_81,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,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_91,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,[],[f281]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_127,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,[],[f317]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_146,plain,
( coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_151,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_153,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_156,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_161,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_195,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_814,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_51,c_122]) ).
tcf(c_815,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_2039,plain,
( coll(sK4,sK1,sK0)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2042,plain,
( perp(sK0,sK5,sK0,sK3)
| ~ perp(sK0,sK3,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2044,plain,
( cong(sK2,sK1,sK2,sK0)
| ~ cong(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK3,X0,X1,sK5,sK2,X0,X1)
| ~ para(sK0,sK3,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2058,plain,
( eqangle(sK0,sK3,sK0,sK0,sK5,sK2,sK0,sK0)
| ~ para(sK0,sK3,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2057]) ).
tcf(c_2066,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,X0,X1)
| ~ cong(sK2,sK0,sK2,sK1)
| ~ cong(sK2,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2068,plain,
! [X0: $i] :
( circle(sK2,sK0,sK1,X0)
| ~ cong(sK2,sK0,sK2,sK1)
| ~ cong(sK2,sK0,sK2,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_2069,plain,
( circle(sK2,sK0,sK1,sK0)
| ~ cong(sK2,sK0,sK2,sK1)
| ~ cong(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2068]) ).
tcf(c_2080,plain,
( coll(sK9(sK0,sK0,sK5,sK3),sK5,sK0)
| ~ perp(sK0,sK3,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_2102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK0,sK3,sK5,sK2)
| ~ eqangle(X0,X1,X2,X3,sK0,sK3,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2103,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK3,sK5,sK2)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK3,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2102]) ).
tcf(c_2236,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,sK0)
| ~ coll(sK4,sK1,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2238,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2239,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2236]) ).
tcf(c_2273,plain,
( perp(sK0,sK5,sK3,sK0)
| ~ perp(sK0,sK5,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2337,plain,
( coll(sK5,sK9(sK0,sK0,sK5,sK3),sK0)
| ~ coll(sK9(sK0,sK0,sK5,sK3),sK5,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2405,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK3,X0,X1,sK5,sK2)
| ~ eqangle(sK0,sK3,X0,X1,sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_2410,plain,
( eqangle(sK0,sK0,sK0,sK3,sK0,sK0,sK5,sK2)
| ~ eqangle(sK0,sK3,sK0,sK0,sK5,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2405]) ).
tcf(c_2590,plain,
( cong(sK2,sK0,sK2,sK1)
| ~ cong(sK2,sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2703,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2706,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2703]) ).
tcf(c_2744,plain,
coll(sK2,sK4,sK3),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_2766,plain,
coll(sK4,sK3,sK2),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_2772,plain,
coll(sK4,sK3,sK2),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_2899,plain,
~ midp(sK2,sK5,sK4),
inference(superposition,[status(thm)],[c_111,c_49]) ).
tcf(c_2922,plain,
para(sK5,sK2,sK0,sK3),
inference(superposition,[status(thm)],[c_55,c_102]) ).
tcf(c_2964,plain,
perp(sK0,sK5,sK0,sK3),
inference(superposition,[status(thm)],[c_54,c_109]) ).
tcf(c_2974,plain,
perp(sK0,sK3,sK5,sK0),
inference(superposition,[status(thm)],[c_54,c_110]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK5,X0,X1)
| ~ perp(sK0,sK5,sK3,sK0)
| ~ perp(sK3,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2993,plain,
( para(sK0,sK5,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK5,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_2988]) ).
tcf(c_3101,plain,
( cong(sK0,sK1,sK2,sK0)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_114]) ).
tcf(c_3161,plain,
( cong(sK2,sK0,sK1,sK0)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_115]) ).
tcf(c_3200,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK9(sK0,sK0,sK5,sK3),sK0)
| ~ coll(sK5,sK9(sK0,sK0,sK5,sK3),X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3203,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK9(sK0,sK0,sK5,sK3),sK0) ),
inference(instantiation,[status(thm)],[c_3200]) ).
tcf(c_3237,plain,
( cong(sK0,sK1,sK0,sK2)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3101,c_115]) ).
tcf(c_3346,plain,
( cong(sK0,sK2,sK0,sK1)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3237,c_114]) ).
tcf(c_3377,plain,
( cong(sK0,sK2,sK1,sK0)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3346,c_115]) ).
tcf(c_3515,plain,
! [X0: $i] :
( coll(sK3,X0,sK4)
| ~ coll(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_3516,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_82]) ).
tcf(c_3517,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_2744,c_82]) ).
tcf(c_3519,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_2766,c_82]) ).
tcf(c_3557,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK2,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_3517]) ).
tcf(c_3569,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_2772,c_82]) ).
tcf(c_3629,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK4,sK0,X1)
| ~ coll(sK0,X1,sK4)
| ~ eqangle(sK0,X0,sK0,sK4,X1,X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_3630,plain,
( cyclic(sK0,sK4,sK0,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_3629]) ).
tcf(c_3836,plain,
coll(sK3,sK3,sK4),
inference(superposition,[status(thm)],[c_52,c_3515]) ).
tcf(c_3842,plain,
! [X0: $i] :
( coll(sK4,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_3836,c_82]) ).
tcf(c_3920,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_53,c_3516]) ).
tcf(c_3927,plain,
coll(sK1,sK4,sK1),
inference(superposition,[status(thm)],[c_3920,c_84]) ).
tcf(c_3951,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_3927,c_82]) ).
tcf(c_3956,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_3951]) ).
tcf(c_4054,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK0,sK3,sK5,sK2)
| ~ eqangle(X0,X1,sK0,sK3,X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_4055,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK3,sK5,sK2)
| ~ eqangle(sK0,sK0,sK0,sK3,sK0,sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_4054]) ).
tcf(c_4071,plain,
coll(sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_2772,c_3569]) ).
tcf(c_4282,plain,
! [X0: $i] :
( coll(sK4,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4071,c_82]) ).
tcf(c_4655,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK0,sK0,X0)
| ~ circle(sK2,sK0,sK1,X1)
| ~ eqangle(sK0,X0,sK0,sK1,X1,sK0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_4656,plain,
( perp(sK2,sK0,sK0,sK0)
| ~ circle(sK2,sK0,sK1,sK0)
| ~ eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_4655]) ).
tcf(c_4674,plain,
( cong(sK2,sK0,sK2,sK0)
| ~ cong(sK2,sK1,sK2,sK0)
| ~ cong(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2066]) ).
tcf(c_4939,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_51,c_119]) ).
tcf(c_5216,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4939,c_110]) ).
tcf(c_5217,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4939,c_109]) ).
tcf(c_5729,plain,
! [X0: $i] :
( perp(sK2,X0,sK0,sK1)
| ~ perp(sK0,sK1,sK2,X0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_5730,plain,
( perp(sK2,sK0,sK0,sK1)
| ~ perp(sK0,sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_5729]) ).
tcf(c_5764,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_5766,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_4939,c_100]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK5,X0,X1)
| ~ perp(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_2964,c_100]) ).
tcf(c_5774,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_5216,c_100]) ).
tcf(c_5808,plain,
( para(sK0,sK1,sK0,sK0)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK2,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5774]) ).
tcf(c_5870,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK2)
| ~ perp(X0,X1,sK2,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5871,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_5870]) ).
tcf(c_5882,plain,
! [X0: $i] :
( perp(sK2,X0,sK1,sK0)
| ~ perp(sK2,X0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_5883,plain,
( perp(sK2,sK0,sK1,sK0)
| ~ perp(sK2,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5882]) ).
tcf(c_6017,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK2)
| ~ para(X0,X1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_55,c_101]) ).
tcf(c_6061,plain,
! [X0: $i] :
( coll(sK4,sK2,X0)
| ~ coll(sK2,sK4,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_6062,plain,
( coll(sK4,sK2,sK0)
| ~ coll(sK2,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_6061]) ).
tcf(c_6117,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK5,X1)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6118,plain,
( coll(sK0,sK5,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_6117]) ).
tcf(c_6192,plain,
! [X0: $i] :
( cong(sK2,sK0,sK2,sK1)
| perp(sK2,sK1,sK0,X0)
| ~ cong(sK2,X0,sK1,X0) ),
inference(superposition,[status(thm)],[c_3161,c_106]) ).
tcf(c_6512,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK2,X1)
| ~ para(X0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_6513,plain,
( coll(sK0,sK2,sK0)
| ~ para(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6512]) ).
tcf(c_6592,plain,
! [X0: $i,X1: $i] :
( para(X1,sK2,X0,sK4)
| ~ para(X0,sK4,X1,sK2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_6593,plain,
( para(sK0,sK2,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_6592]) ).
tcf(c_6600,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK5)
| ~ para(sK0,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_6601,plain,
( para(sK0,sK0,sK0,sK5)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6600]) ).
tcf(c_6627,plain,
para(sK0,sK3,sK0,sK3),
inference(superposition,[status(thm)],[c_2964,c_5764]) ).
tcf(c_6645,plain,
para(sK5,sK2,sK5,sK2),
inference(superposition,[status(thm)],[c_2922,c_6017]) ).
tcf(c_6771,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ coll(X0,sK2,X1)
| ~ cong(X0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_6772,plain,
( midp(sK0,sK2,sK0)
| ~ coll(sK0,sK2,sK0)
| ~ cong(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6771]) ).
tcf(c_6870,plain,
coll(sK0,sK3,sK3),
inference(superposition,[status(thm)],[c_6627,c_79]) ).
tcf(c_6899,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK1,X1)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_6900,plain,
( midp(sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_6899]) ).
tcf(c_6925,plain,
coll(sK5,sK2,sK2),
inference(superposition,[status(thm)],[c_6645,c_79]) ).
tcf(c_7029,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,sK2,sK1)
| cong(X0,X1,sK0,sK1)
| ~ cong(X0,X1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_50,c_113]) ).
tcf(c_7033,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,sK2,sK1)
| cong(X0,X1,sK2,sK0)
| ~ cong(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_3101,c_113]) ).
tcf(c_7035,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,sK2,sK1)
| cong(X0,X1,sK0,sK2)
| ~ cong(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_3237,c_113]) ).
tcf(c_7042,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,sK2,sK1)
| cong(X0,X1,sK1,sK0)
| ~ cong(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_3377,c_113]) ).
tcf(c_7440,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,sK2,X2,X1)
| ~ midp(X0,sK5,X2)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_7704,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK4,X2,sK2)
| ~ midp(sK4,X1,sK2)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_7705,plain,
( para(sK0,sK4,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_7704]) ).
tcf(c_7996,plain,
( cong(sK0,sK1,sK0,sK1)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3101,c_7029]) ).
tcf(c_8452,plain,
para(sK0,sK5,sK0,sK5),
inference(superposition,[status(thm)],[c_54,c_5767]) ).
tcf(c_8453,plain,
para(sK0,sK5,sK5,sK0),
inference(superposition,[status(thm)],[c_2974,c_5767]) ).
tcf(c_8945,plain,
coll(sK3,sK0,sK3),
inference(superposition,[status(thm)],[c_6870,c_83]) ).
tcf(c_8962,plain,
coll(sK2,sK5,sK2),
inference(superposition,[status(thm)],[c_6925,c_83]) ).
tcf(c_9027,plain,
coll(sK0,sK5,sK5),
inference(superposition,[status(thm)],[c_8452,c_79]) ).
tcf(c_9034,plain,
! [X0: $i] :
( coll(sK5,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_9027,c_82]) ).
tcf(c_9039,plain,
( coll(sK5,sK0,sK0)
| ~ coll(sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_9034]) ).
tcf(c_9047,plain,
para(sK5,sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_8453,c_102]) ).
tcf(c_9244,plain,
( cong(sK2,sK0,sK2,sK1)
| cong(sK2,sK0,sK2,sK0) ),
inference(superposition,[status(thm)],[c_50,c_7033]) ).
tcf(c_9349,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_9350,plain,
( perp(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK1,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_9349]) ).
tcf(c_9764,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK0,sK1,sK2,X2)
| ~ para(sK0,sK1,X0,X1)
| ~ perp(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_9765,plain,
( perp(sK0,sK1,sK2,sK0)
| ~ para(sK0,sK1,sK0,sK0)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_9764]) ).
tcf(c_9772,plain,
cong(sK2,sK0,sK2,sK0),
inference(global_subsumption_just,[status(thm)],[c_9244,c_2044,c_4674,c_9244]) ).
tcf(c_9774,plain,
! [X0: $i] :
( circle(sK2,sK0,sK0,X0)
| ~ cong(sK2,sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_9772,c_124]) ).
tcf(c_9778,plain,
cong(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_9772,c_115]) ).
tcf(c_9844,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK0,sK2)
| ~ cong(X0,X1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_9778,c_113]) ).
tcf(c_9849,plain,
( cong(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_9844]) ).
tcf(c_10727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK2,X2,X3)
| ~ perp(sK0,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_10730,plain,
( para(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_10727]) ).
tcf(c_11118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,X3,X2,sK1)
| ~ perp(sK0,X3,X0,X1)
| ~ perp(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_11121,plain,
( para(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11118]) ).
tcf(c_11236,plain,
coll(sK3,sK3,sK0),
inference(superposition,[status(thm)],[c_8945,c_84]) ).
tcf(c_11313,plain,
coll(sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_8962,c_84]) ).
tcf(c_11369,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK2)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_11447,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK1,sK2,X1)
| ~ midp(X0,sK1,X1)
| ~ perp(sK2,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_11448,plain,
( cong(sK2,sK1,sK2,sK0)
| ~ midp(sK0,sK1,sK0)
| ~ perp(sK2,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_11447]) ).
tcf(c_11715,plain,
( cong(sK0,sK2,sK0,sK2)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3346,c_7035]) ).
tcf(c_12102,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK2,X0,X1)
| ~ perp(X0,X1,X1,sK2) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_12103,plain,
( perp(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_12102]) ).
tcf(c_12123,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,sK2,X0)
| ~ perp(sK2,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_12124,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ perp(sK2,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12123]) ).
tcf(c_12125,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,X1)
| ~ cong(X0,sK2,X1,sK2)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_12126,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_12125]) ).
tcf(c_12242,plain,
coll(sK4,sK0,sK3),
inference(superposition,[status(thm)],[c_11236,c_3842]) ).
tcf(c_12302,plain,
coll(sK4,sK3,sK0),
inference(superposition,[status(thm)],[c_12242,c_84]) ).
tcf(c_13413,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK0,X0,sK1,X0,X1,X0,sK1)
| ~ para(X0,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_13415,plain,
( eqangle(sK0,sK0,sK0,sK1,sK0,sK0,sK0,sK1)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13413]) ).
tcf(c_13504,plain,
( para(sK0,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5217,c_5766]) ).
tcf(c_13634,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK0,sK1)
| ~ coll(X1,sK0,sK1)
| ~ midp(X0,sK0,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_13635,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_13634]) ).
tcf(c_13686,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK4)
| ~ cong(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_14228,plain,
coll(sK2,sK0,sK4),
inference(superposition,[status(thm)],[c_12302,c_3519]) ).
tcf(c_14389,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ midp(sK1,sK0,sK1)
| ~ circle(sK2,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_14446,plain,
( perp(sK2,sK1,sK0,sK0)
| cong(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3161,c_6192]) ).
tcf(c_15635,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK5,sK0,sK5) ),
inference(superposition,[status(thm)],[c_8452,c_94]) ).
tcf(c_15644,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15635,c_8452]) ).
tcf(c_15696,plain,
( midp(sK0,sK5,sK5)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_15644]) ).
tcf(c_16080,plain,
coll(sK2,sK4,sK0),
inference(superposition,[status(thm)],[c_14228,c_84]) ).
tcf(c_16776,plain,
cong(sK2,sK0,sK2,sK1),
inference(global_subsumption_just,[status(thm)],[c_7042,c_53,c_55,c_146,c_151,c_153,c_156,c_161,c_195,c_2039,c_2058,c_2103,c_2238,c_2410,c_2590,c_2706,c_3557,c_4055,c_5730,c_5808,c_5883,c_6900,c_7996,c_9350,c_9765,c_11121,c_11448,c_11715,c_12126,c_13635,c_14446,c_16080]) ).
tcf(c_16784,plain,
circle(sK2,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_16776,c_9774]) ).
tcf(c_17541,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK5,sK0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK0,X1,sK5)
| ~ para(X0,sK5,X1,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_17542,plain,
( midp(sK0,sK5,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK5)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_17541]) ).
tcf(c_17762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK5,X3,X2)
| ~ coll(sK5,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK5,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_17763,plain,
( midp(sK5,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK5,sK0,sK0)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_17762]) ).
tcf(c_17777,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK2,X0,X1)
| ~ cong(X0,X1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_17778,plain,
( cong(sK0,sK2,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_17777]) ).
tcf(c_17807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK2,sK2,X2)
| ~ para(X3,sK2,X0,X1)
| ~ perp(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_17808,plain,
( perp(sK0,sK2,sK2,sK0)
| ~ para(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_17807]) ).
tcf(c_18466,plain,
! [X0: $i] :
( perp(sK0,sK2,sK2,X0)
| ~ cyclic(sK2,sK2,sK0,X0)
| ~ cong(sK2,X0,sK2,X0) ),
inference(superposition,[status(thm)],[c_9772,c_133]) ).
tcf(c_19748,plain,
! [X0: $i] :
( cong(X0,sK4,sK2,sK4)
| ~ cong(sK2,sK4,X0,sK4) ),
inference(instantiation,[status(thm)],[c_13686]) ).
tcf(c_19750,plain,
( cong(sK0,sK4,sK2,sK4)
| ~ cong(sK2,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_19748]) ).
tcf(c_19968,plain,
( perp(sK0,sK2,sK2,sK0)
| ~ cyclic(sK2,sK2,sK0,sK0) ),
inference(superposition,[status(thm)],[c_9772,c_18466]) ).
tcf(c_20279,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK1,X2,sK1)
| ~ coll(sK1,X2,sK1)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK1,X1,sK1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_20280,plain,
( midp(sK1,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK1,sK0,sK1)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_20279]) ).
tcf(c_21031,plain,
perp(sK0,sK2,sK2,sK0),
inference(global_subsumption_just,[status(thm)],[c_19968,c_55,c_146,c_151,c_156,c_161,c_195,c_2058,c_2069,c_2103,c_2410,c_4055,c_4656,c_5871,c_9772,c_10730,c_12103,c_12124,c_13415,c_16776,c_17808]) ).
tcf(c_21035,plain,
! [X0: $i] :
( cong(sK0,X0,sK2,X0)
| ~ midp(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_21031,c_108]) ).
tcf(c_21056,plain,
( cong(sK0,sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21035]) ).
tcf(c_23145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK4,X2,X3,X1,sK4)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_23146,plain,
( eqangle(sK0,sK0,sK0,sK4,sK0,sK0,sK0,sK4)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_23145]) ).
tcf(c_26341,plain,
! [X0: $i] :
( midp(sK4,sK2,X0)
| ~ coll(sK4,sK2,X0)
| ~ cong(sK4,sK2,sK4,X0) ),
inference(instantiation,[status(thm)],[c_6771]) ).
tcf(c_26342,plain,
( midp(sK4,sK2,sK0)
| ~ coll(sK4,sK2,sK0)
| ~ cong(sK4,sK2,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_26341]) ).
tcf(c_26912,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK2,sK5,X1)
| ~ midp(X0,sK5,sK5)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_7440]) ).
tcf(c_26913,plain,
( para(sK5,sK2,sK5,sK0)
| ~ midp(sK0,sK5,sK5)
| ~ midp(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_26912]) ).
tcf(c_27397,plain,
! [X0: $i] :
( midp(sK0,X0,sK5)
| ~ midp(sK5,X0,sK0)
| ~ coll(sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_9047,c_81]) ).
tcf(c_27409,plain,
( midp(sK0,sK0,sK5)
| ~ midp(sK5,sK0,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_27397]) ).
tcf(c_27595,plain,
! [X0: $i] :
( cong(X0,sK0,X0,sK5)
| ~ midp(X0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_27596,plain,
( cong(sK0,sK0,sK0,sK5)
| ~ midp(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_27595]) ).
tcf(c_36247,plain,
coll(sK4,sK5,sK2),
inference(superposition,[status(thm)],[c_11313,c_4282]) ).
tcf(c_37800,plain,
! [X0: $i] :
( cyclic(sK2,sK5,X0,sK4)
| ~ cyclic(sK2,X0,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_37801,plain,
( cyclic(sK2,sK5,sK0,sK4)
| ~ cyclic(sK2,sK0,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_37800]) ).
tcf(c_38179,plain,
coll(sK4,sK2,sK5),
inference(superposition,[status(thm)],[c_36247,c_84]) ).
tcf(c_38190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK2)
| ~ cong(X0,X1,X0,sK2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_38191,plain,
( cyclic(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_38190]) ).
tcf(c_39255,plain,
coll(sK2,sK4,sK5),
inference(superposition,[status(thm)],[c_38179,c_83]) ).
tcf(c_40802,plain,
coll(sK2,sK5,sK4),
inference(superposition,[status(thm)],[c_39255,c_84]) ).
tcf(c_40848,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK4)
| ~ cyclic(X0,X1,sK4,X2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_40849,plain,
( cyclic(sK0,sK0,sK0,sK4)
| ~ cyclic(sK0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_40848]) ).
tcf(c_41047,plain,
! [X0: $i] :
( midp(sK4,X0,sK2)
| ~ midp(sK4,sK2,X0) ),
inference(instantiation,[status(thm)],[c_11369]) ).
tcf(c_41048,plain,
( midp(sK4,sK0,sK2)
| ~ midp(sK4,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_41047]) ).
tcf(c_47704,plain,
! [X0: $i,X1: $i] :
( midp(sK2,sK5,sK4)
| ~ coll(sK2,sK5,sK4)
| ~ midp(X0,sK5,X1)
| ~ para(X0,sK2,X1,sK4) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_47705,plain,
( midp(sK2,sK5,sK4)
| ~ midp(sK0,sK5,sK0)
| ~ coll(sK2,sK5,sK4)
| ~ para(sK0,sK2,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_47704]) ).
tcf(c_47750,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,sK5,X1,sK4)
| ~ cyclic(X0,sK2,sK5,sK4)
| ~ cyclic(X0,sK2,sK5,X1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_47847,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,X1,sK5,sK4)
| ~ cyclic(X0,sK2,X1,sK4)
| ~ cyclic(X0,sK2,X1,sK5) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_47848,plain,
( cyclic(sK2,sK0,sK5,sK4)
| ~ cyclic(sK0,sK2,sK0,sK4)
| ~ cyclic(sK0,sK2,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_47847]) ).
tcf(c_47883,plain,
! [X0: $i] :
( cyclic(sK2,sK5,sK4,X0)
| ~ cyclic(sK2,sK5,X0,sK4) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_47884,plain,
( cyclic(sK2,sK5,sK4,sK0)
| ~ cyclic(sK2,sK5,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_47883]) ).
tcf(c_47933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK2,sK4,X2,X3)
| ~ cyclic(sK2,sK4,X0,X3)
| ~ cyclic(sK2,sK4,X0,X2)
| ~ cyclic(sK2,sK4,X0,X1)
| ~ eqangle(X0,sK2,X0,sK4,X1,X2,X1,X3) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_48011,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK2,sK5,sK4)
| ~ cyclic(X0,X1,sK2,sK4)
| ~ cyclic(X0,X1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_48012,plain,
( cyclic(sK0,sK2,sK5,sK4)
| ~ cyclic(sK0,sK0,sK2,sK4)
| ~ cyclic(sK0,sK0,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_48011]) ).
tcf(c_48280,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK4)
| ~ cyclic(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_48282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK4)
| ~ cyclic(X0,X1,X2,sK4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_48501,plain,
! [X0: $i] :
( cyclic(sK2,sK4,sK5,X0)
| ~ cyclic(sK2,sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_48502,plain,
( cyclic(sK2,sK4,sK5,sK0)
| ~ cyclic(sK2,sK5,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_48501]) ).
tcf(c_48505,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,sK4,sK5,X1)
| ~ cyclic(X0,sK2,sK4,sK5)
| ~ cyclic(X0,sK2,sK4,X1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_48647,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK2,sK4,sK5)
| ~ cyclic(X0,X1,sK2,sK4)
| ~ cyclic(X0,X1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_48648,plain,
( cyclic(sK0,sK2,sK4,sK5)
| ~ cyclic(sK0,sK0,sK2,sK4)
| ~ cyclic(sK0,sK0,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_48647]) ).
tcf(c_49202,plain,
! [X0: $i,X1: $i] :
( cong(sK4,sK2,sK4,X1)
| ~ midp(X0,sK2,X1)
| ~ perp(sK4,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_49204,plain,
( cong(sK4,sK2,sK4,sK0)
| ~ midp(sK0,sK2,sK0)
| ~ perp(sK4,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_49202]) ).
tcf(c_49499,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK2,X2,sK5)
| ~ cong(X0,X1,X0,sK5)
| ~ cong(X0,X1,X0,sK2)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_49500,plain,
( cyclic(sK0,sK2,sK0,sK5)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK5)
| ~ cong(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_49499]) ).
tcf(c_49584,plain,
! [X0: $i,X1: $i] :
( perp(sK4,X1,X0,sK2)
| ~ perp(X0,sK2,sK4,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_49585,plain,
( perp(sK4,sK0,sK0,sK2)
| ~ perp(sK0,sK2,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_49584]) ).
tcf(c_49594,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK2,sK5)
| ~ cyclic(X0,sK2,X1,sK5) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_49595,plain,
( cyclic(sK0,sK0,sK2,sK5)
| ~ cyclic(sK0,sK2,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_49594]) ).
tcf(c_49855,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK4,X2)
| ~ cyclic(X0,sK4,X1,X2) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_49856,plain,
( cyclic(sK0,sK0,sK4,sK0)
| ~ cyclic(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_49855]) ).
tcf(c_50882,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK5,X0,sK5,sK4,X1,X2,sK5,sK4)
| ~ para(sK5,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_51279,plain,
! [X0: $i] :
( cyclic(sK2,sK4,X0,sK4)
| ~ cyclic(sK2,X0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_48280]) ).
tcf(c_51500,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK2,X1,sK4)
| ~ cyclic(X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_48280]) ).
tcf(c_51501,plain,
( cyclic(sK0,sK2,sK0,sK4)
| ~ cyclic(sK0,sK0,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_51500]) ).
tcf(c_52478,plain,
! [X0: $i] :
( cyclic(sK0,sK0,sK2,sK4)
| ~ cyclic(X0,sK0,sK0,sK4)
| ~ cyclic(X0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_48282]) ).
tcf(c_52479,plain,
( cyclic(sK0,sK0,sK2,sK4)
| ~ cyclic(sK0,sK0,sK0,sK4)
| ~ cyclic(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_52478]) ).
tcf(c_53704,plain,
( cyclic(sK2,sK4,sK5,sK4)
| ~ cyclic(sK2,sK5,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_51279]) ).
tcf(c_54887,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK2,sK4,X1)
| ~ cong(X0,sK4,sK2,sK4)
| ~ cong(X0,X1,sK2,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_54888,plain,
( perp(sK0,sK2,sK4,sK0)
| ~ cong(sK0,sK0,sK2,sK0)
| ~ cong(sK0,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_54887]) ).
tcf(c_54913,plain,
! [X0: $i,X1: $i] :
( perp(sK4,X0,sK2,X1)
| ~ perp(sK4,X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_54914,plain,
( perp(sK4,sK0,sK2,sK0)
| ~ perp(sK4,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_54913]) ).
tcf(c_56070,plain,
! [X0: $i] :
( cyclic(sK2,sK5,sK4,sK4)
| ~ cyclic(X0,sK2,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_47750]) ).
tcf(c_56071,plain,
( cyclic(sK2,sK5,sK4,sK4)
| ~ cyclic(sK0,sK2,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_56070]) ).
tcf(c_56843,plain,
! [X0: $i] :
( eqangle(sK5,sK2,sK5,sK4,sK5,X0,sK5,sK4)
| ~ para(sK5,sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_50882]) ).
tcf(c_56844,plain,
! [X0: $i] :
( cong(sK2,sK4,X0,sK4)
| ~ cyclic(sK2,sK4,sK5,sK4)
| ~ cyclic(sK2,sK4,sK5,sK5)
| ~ cyclic(sK2,sK4,sK5,X0)
| ~ eqangle(sK5,sK2,sK5,sK4,sK5,X0,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_47933]) ).
tcf(c_56846,plain,
( eqangle(sK5,sK2,sK5,sK4,sK5,sK0,sK5,sK4)
| ~ para(sK5,sK2,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_56843]) ).
tcf(c_56848,plain,
( cong(sK2,sK4,sK0,sK4)
| ~ cyclic(sK2,sK4,sK5,sK0)
| ~ cyclic(sK2,sK4,sK5,sK4)
| ~ cyclic(sK2,sK4,sK5,sK5)
| ~ eqangle(sK5,sK2,sK5,sK4,sK5,sK0,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_56844]) ).
tcf(c_57956,plain,
! [X0: $i] :
( cyclic(sK2,sK4,sK5,sK5)
| ~ cyclic(X0,sK2,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_48505]) ).
tcf(c_57957,plain,
( cyclic(sK2,sK4,sK5,sK5)
| ~ cyclic(sK0,sK2,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_57956]) ).
tcf(c_57958,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_57957,c_56848,c_56846,c_56071,c_54914,c_54888,c_53704,c_52479,c_51501,c_49856,c_49595,c_49585,c_49500,c_49204,c_48648,c_48502,c_48012,c_47884,c_47848,c_47705,c_41048,c_40849,c_40802,c_38191,c_37801,c_27596,c_27409,c_26913,c_26342,c_23146,c_21056,c_20280,c_19750,c_17778,c_17763,c_17542,c_16784,c_16776,c_16080,c_15696,c_14389,c_13504,c_13415,c_12124,c_12103,c_10730,c_9849,c_9772,c_9039,c_7705,c_6772,c_6601,c_6593,c_6513,c_6118,c_6062,c_5871,c_4656,c_4055,c_3956,c_3630,c_3557,c_3203,c_2993,c_2899,c_2410,c_2337,c_2273,c_2239,c_2238,c_2103,c_2080,c_2069,c_2058,c_2042,c_2039,c_815,c_195,c_161,c_156,c_153,c_151,c_146,c_54,c_55,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO594+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 12:29:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 13.71/2.99 % SZS status Started for theBenchmark.p
% 13.71/2.99 % SZS status Theorem for theBenchmark.p
% 13.71/2.99
% 13.71/2.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.71/2.99
% 13.71/2.99 % ------ iProver source info
% 13.71/2.99
% 13.71/2.99 % git: date: 2026-07-19 20:42:38 +0200
% 13.71/2.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.71/2.99 % git: non_committed_changes: false
% 13.71/2.99
% 13.71/2.99 % ------ Parsing...
% 13.71/2.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 13.71/2.99
% 13.71/2.99 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 13.71/2.99
% 13.71/2.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.71/2.99 % ------ Proving...
% 13.71/2.99 % ------ Problem Properties
% 13.71/2.99
% 13.71/2.99 %
% 13.71/2.99 % clauses 94
% 13.71/2.99 % conjectures 7
% 13.71/2.99 % EPR 61
% 13.71/2.99 % Horn 88
% 13.71/2.99 % unary 6
% 13.71/2.99 % binary 25
% 13.71/2.99 % lits 264
% 13.71/2.99 % lits eq 0
% 13.71/2.99 % fd_pure 0
% 13.71/2.99 % fd_pseudo 0
% 13.71/2.99 % fd_cond 0
% 13.71/2.99 % fd_pseudo_cond 0
% 13.71/2.99 % AC symbols 0
% 13.71/2.99
% 13.71/2.99 % ------ Schedule dynamic 5 is on
% 13.71/2.99
% 13.71/2.99 % ------ no equalities: superposition off
% 13.71/2.99
% 13.71/2.99 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.71/2.99
% 13.71/2.99
% 13.71/2.99 % ------
% 13.71/2.99 % Current options:
% 13.71/2.99 % ------
% 13.71/2.99
% 13.71/2.99
% 13.71/2.99 %
% 13.71/2.99
% 13.71/2.99 % ------ Proving...
% 13.71/2.99 %
% 13.71/2.99
% 13.71/2.99 % SZS status Theorem for theBenchmark.p
% 13.71/2.99
% 13.71/2.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.71/3.01
% 13.71/3.01
%------------------------------------------------------------------------------