%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO624+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 : n018.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 01:21:40 PM UTC 2026
% Result : Theorem 26.95s 5.79s
% Output : CNFRefutation 26.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 38
% Syntax : Number of formulae : 486 ( 83 unt; 0 def)
% Number of atoms : 1177 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1265 ( 574 ~; 568 |; 84 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 995 ( 0 sgn 975 !; 20 ?; 344 :)
% 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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/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/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(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(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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X9,X2,X5)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& cong(X2,X5,X2,X7)
& coll(X2,X5,X7)
& cong(X2,X3,X2,X6)
& coll(X2,X3,X6)
& coll(X5,X0,X4)
& perp(X5,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> cyclic(X0,X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110988) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X9,X2,X5)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& cong(X2,X5,X2,X7)
& coll(X2,X5,X7)
& cong(X2,X3,X2,X6)
& coll(X2,X3,X6)
& coll(X5,X0,X4)
& perp(X5,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> cyclic(X0,X6,X7,X9) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X9,X2,X5)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& cong(X2,X5,X2,X7)
& coll(X2,X5,X7)
& cong(X2,X3,X2,X6)
& coll(X2,X3,X6)
& coll(X5,X0,X4)
& perp(X5,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ cyclic(X0,X6,X7,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X9,X2,X5)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& cong(X2,X5,X2,X7)
& coll(X2,X5,X7)
& cong(X2,X3,X2,X6)
& coll(X2,X3,X6)
& coll(X5,X0,X4)
& perp(X5,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ cyclic(X0,X6,X7,X9) ),
inference(flattening,[],[f98]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(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] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f137,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,[],[f136]) ).
fof(f142,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(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,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(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f156,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(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f170,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(f171,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,[],[f170]) ).
fof(f172,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(f173,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,[],[f172]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f177,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(f178,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f182,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(f183,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,[],[f182]) ).
fof(f188,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(f189,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,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f192]) ).
fof(f194,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(f196,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(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f203,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(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f208]) ).
fof(f212,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(f213,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,[],[f212]) ).
fof(f218,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(f219,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK9,sK2,sK5)
& coll(sK9,sK0,sK1)
& coll(sK8,sK0,sK4)
& coll(sK8,sK2,sK3)
& cong(sK2,sK5,sK2,sK7)
& coll(sK2,sK5,sK7)
& cong(sK2,sK3,sK2,sK6)
& coll(sK2,sK3,sK6)
& coll(sK5,sK0,sK4)
& perp(sK5,sK2,sK0,sK4)
& coll(sK3,sK0,sK1)
& perp(sK3,sK2,sK0,sK1)
& ~ cyclic(sK0,sK6,sK7,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f99]) ).
fof(f239,plain,
coll(sK9,sK2,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
cong(sK2,sK5,sK2,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
coll(sK2,sK5,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
cong(sK2,sK3,sK2,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
coll(sK2,sK3,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
perp(sK5,sK2,sK0,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
coll(sK3,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
perp(sK3,sK2,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
~ cyclic(sK0,sK6,sK7,sK9),
inference(cnf_transformation,[],[f220]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f277,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(f278,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f285,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,[],[f137]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f291,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,[],[f149]) ).
fof(f292,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,[],[f151]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f297,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,[],[f157]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f306,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,[],[f171]) ).
fof(f307,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,[],[f173]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f178]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f314,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,[],[f183]) ).
fof(f319,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,[],[f189]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f324,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,[],[f197]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f329,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,[],[f203]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f336,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,[],[f213]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cyclic(sK0,sK6,sK7,sK9),
inference(cnf_transformation,[],[f251]) ).
tcf(c_50,negated_conjecture,
perp(sK3,sK2,sK0,sK1),
inference(cnf_transformation,[],[f250]) ).
tcf(c_51,negated_conjecture,
coll(sK3,sK0,sK1),
inference(cnf_transformation,[],[f249]) ).
tcf(c_52,negated_conjecture,
perp(sK5,sK2,sK0,sK4),
inference(cnf_transformation,[],[f248]) ).
tcf(c_54,negated_conjecture,
coll(sK2,sK3,sK6),
inference(cnf_transformation,[],[f246]) ).
tcf(c_55,negated_conjecture,
cong(sK2,sK3,sK2,sK6),
inference(cnf_transformation,[],[f245]) ).
tcf(c_56,negated_conjecture,
coll(sK2,sK5,sK7),
inference(cnf_transformation,[],[f244]) ).
tcf(c_57,negated_conjecture,
cong(sK2,sK5,sK2,sK7),
inference(cnf_transformation,[],[f243]) ).
tcf(c_58,negated_conjecture,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f242]) ).
tcf(c_60,negated_conjecture,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f240]) ).
tcf(c_61,negated_conjecture,
coll(sK9,sK2,sK5),
inference(cnf_transformation,[],[f239]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_87,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,[],[f277]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,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,[],[f320]) ).
tcf(c_131,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,[],[f321]) ).
tcf(c_132,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,[],[f322]) ).
tcf(c_134,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,[],[f324]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_144,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,[],[f334]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_149,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,[],[f339]) ).
tcf(c_155,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_159,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_163,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_169,plain,
( cyclic(sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_201,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_1952,plain,
( coll(sK3,sK2,sK6)
| ~ coll(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_1960,plain,
( coll(sK2,sK6,sK3)
| ~ coll(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_1961,plain,
( coll(sK2,sK7,sK5)
| ~ coll(sK2,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_1962,plain,
( coll(sK8,sK3,sK2)
| ~ coll(sK8,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_1965,plain,
( coll(sK9,sK5,sK2)
| ~ coll(sK9,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_1966,plain,
( perp(sK0,sK1,sK3,sK2)
| ~ perp(sK3,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_1967,plain,
( perp(sK0,sK4,sK5,sK2)
| ~ perp(sK5,sK2,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_1970,plain,
( cong(sK2,sK6,sK2,sK3)
| ~ cong(sK2,sK3,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_1971,plain,
( cong(sK2,sK7,sK2,sK5)
| ~ cong(sK2,sK5,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_1978,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK3,sK6)
| ~ coll(sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_1979,plain,
( coll(sK6,sK2,sK2)
| ~ coll(sK2,sK3,sK2)
| ~ coll(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_1978]) ).
tcf(c_1980,plain,
! [X0: $i] :
( coll(sK7,X0,sK2)
| ~ coll(sK2,sK5,sK7)
| ~ coll(sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_1981,plain,
( coll(sK7,sK2,sK2)
| ~ coll(sK2,sK5,sK2)
| ~ coll(sK2,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_1980]) ).
tcf(c_1992,plain,
( midp(sK2,sK3,sK6)
| ~ coll(sK2,sK3,sK6)
| ~ cong(sK2,sK3,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2002,plain,
! [X0: $i] :
( perp(sK3,X0,X0,sK6)
| ~ coll(sK2,sK3,sK6)
| ~ circle(sK2,sK3,X0,sK6) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2003,plain,
( perp(sK3,sK2,sK2,sK6)
| ~ coll(sK2,sK3,sK6)
| ~ circle(sK2,sK3,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_2002]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK2,X0,X1)
| ~ perp(sK3,sK2,sK0,sK1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2019,plain,
( para(sK3,sK2,sK2,sK2)
| ~ perp(sK3,sK2,sK0,sK1)
| ~ perp(sK0,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2018]) ).
tcf(c_2020,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK2,X0,X1)
| ~ perp(sK5,sK2,sK0,sK4)
| ~ perp(sK0,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2021,plain,
( para(sK5,sK2,sK2,sK2)
| ~ perp(sK5,sK2,sK0,sK4)
| ~ perp(sK0,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2020]) ).
tcf(c_2024,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK3,X0,X1)
| ~ cong(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2025,plain,
( cong(sK2,sK3,sK2,sK2)
| ~ cong(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK6,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2024]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK5,X0,X1)
| ~ cong(sK2,sK5,sK2,sK7)
| ~ cong(sK2,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2027,plain,
( cong(sK2,sK5,sK2,sK2)
| ~ cong(sK2,sK5,sK2,sK7)
| ~ cong(sK2,sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2026]) ).
tcf(c_2299,plain,
! [X0: $i] :
( perp(sK2,X0,X0,sK6)
| ~ coll(sK3,sK2,sK6)
| ~ circle(sK3,sK2,X0,sK6) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2300,plain,
( perp(sK2,sK2,sK2,sK6)
| ~ coll(sK3,sK2,sK6)
| ~ circle(sK3,sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_2299]) ).
tcf(c_2507,plain,
( midp(sK2,sK6,sK3)
| ~ coll(sK2,sK6,sK3)
| ~ cong(sK2,sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2534,plain,
( midp(sK2,sK7,sK5)
| ~ coll(sK2,sK7,sK5)
| ~ cong(sK2,sK7,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2564,plain,
( coll(sK3,sK8,sK2)
| ~ coll(sK8,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2645,plain,
( coll(sK5,sK9,sK2)
| ~ coll(sK9,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2662,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK3,sK2)
| ~ perp(sK3,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2667,plain,
( para(sK0,sK1,sK2,sK2)
| ~ perp(sK3,sK2,sK2,sK2)
| ~ perp(sK0,sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2662]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK4,X0,X1)
| ~ perp(sK0,sK4,sK5,sK2)
| ~ perp(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2683,plain,
( para(sK0,sK4,sK2,sK2)
| ~ perp(sK5,sK2,sK2,sK2)
| ~ perp(sK0,sK4,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_2703,plain,
coll(sK2,sK9,sK5),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_2712,plain,
coll(sK2,sK8,sK3),
inference(superposition,[status(thm)],[c_58,c_89]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK6,X0,X1)
| ~ cong(sK2,sK6,sK2,sK3)
| ~ cong(sK2,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2785,plain,
coll(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_58,c_90]) ).
tcf(c_2788,plain,
coll(sK9,sK5,sK2),
inference(superposition,[status(thm)],[c_61,c_90]) ).
tcf(c_2796,plain,
coll(sK2,sK5,sK9),
inference(superposition,[status(thm)],[c_2703,c_90]) ).
tcf(c_2801,plain,
coll(sK3,sK1,sK0),
inference(superposition,[status(thm)],[c_51,c_90]) ).
tcf(c_2805,plain,
coll(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_58,c_90]) ).
tcf(c_2807,plain,
coll(sK9,sK1,sK0),
inference(superposition,[status(thm)],[c_60,c_90]) ).
tcf(c_2826,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK7,X0,X1)
| ~ cong(sK2,sK7,sK2,sK5)
| ~ cong(sK2,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2842,plain,
! [X0: $i,X1: $i] :
( para(X0,sK2,X1,sK6)
| ~ midp(sK2,sK3,sK6)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_2912,plain,
( cong(sK2,sK3,sK2,sK3)
| ~ cong(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_2024]) ).
tcf(c_2913,plain,
( cong(sK2,sK5,sK2,sK5)
| ~ cong(sK2,sK5,sK2,sK7)
| ~ cong(sK2,sK7,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_2026]) ).
tcf(c_3129,plain,
coll(sK3,sK8,sK2),
inference(superposition,[status(thm)],[c_2785,c_89]) ).
tcf(c_3171,plain,
coll(sK5,sK9,sK2),
inference(superposition,[status(thm)],[c_2788,c_89]) ).
tcf(c_3334,plain,
cong(sK2,sK6,sK2,sK3),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_3335,plain,
cong(sK2,sK7,sK2,sK5),
inference(superposition,[status(thm)],[c_57,c_108]) ).
tcf(c_3343,plain,
cong(sK2,sK6,sK2,sK3),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_3382,plain,
cong(sK2,sK3,sK6,sK2),
inference(superposition,[status(thm)],[c_55,c_109]) ).
tcf(c_3518,plain,
cong(sK6,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_3382,c_108]) ).
tcf(c_3707,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_54,c_88]) ).
tcf(c_3708,plain,
! [X0: $i] :
( coll(sK7,X0,sK2)
| ~ coll(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_56,c_88]) ).
tcf(c_3741,plain,
! [X0: $i] :
( coll(sK2,X0,sK3)
| ~ coll(sK3,sK8,X0) ),
inference(superposition,[status(thm)],[c_3129,c_88]) ).
tcf(c_3744,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK9,X0) ),
inference(superposition,[status(thm)],[c_3171,c_88]) ).
tcf(c_3825,plain,
( coll(sK2,sK2,sK5)
| ~ coll(sK5,sK9,sK2) ),
inference(instantiation,[status(thm)],[c_3744]) ).
tcf(c_3828,plain,
( coll(sK2,sK2,sK3)
| ~ coll(sK3,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_3741]) ).
tcf(c_3863,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_88]) ).
tcf(c_3867,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK2,X0) ),
inference(superposition,[status(thm)],[c_58,c_88]) ).
tcf(c_3869,plain,
! [X0: $i] :
( coll(sK1,X0,sK9)
| ~ coll(sK9,sK0,X0) ),
inference(superposition,[status(thm)],[c_60,c_88]) ).
tcf(c_3875,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK8,X0) ),
inference(superposition,[status(thm)],[c_2712,c_88]) ).
tcf(c_3879,plain,
! [X0: $i] :
( coll(sK0,X0,sK3)
| ~ coll(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_2801,c_88]) ).
tcf(c_3883,plain,
! [X0: $i] :
( coll(sK2,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_2805,c_88]) ).
tcf(c_3885,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK1,X0) ),
inference(superposition,[status(thm)],[c_2807,c_88]) ).
tcf(c_3996,plain,
! [X0: $i] :
( coll(sK2,sK3,X0)
| ~ coll(sK3,sK2,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4004,plain,
! [X0: $i] :
( coll(sK9,sK0,X0)
| ~ coll(sK0,sK9,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4005,plain,
( coll(sK9,sK0,sK2)
| ~ coll(sK0,sK9,sK2) ),
inference(instantiation,[status(thm)],[c_4004]) ).
tcf(c_4010,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4020,plain,
! [X0: $i] :
( coll(sK2,sK6,X0)
| ~ coll(sK6,sK2,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4021,plain,
( coll(sK2,sK6,sK2)
| ~ coll(sK6,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4020]) ).
tcf(c_4022,plain,
! [X0: $i] :
( coll(sK2,sK7,X0)
| ~ coll(sK7,sK2,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4023,plain,
( coll(sK2,sK7,sK2)
| ~ coll(sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4022]) ).
tcf(c_4051,plain,
! [X0: $i,X1: $i] :
( coll(sK9,X0,X1)
| ~ coll(X0,sK9,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4079,plain,
! [X0: $i] :
( coll(sK3,sK0,X0)
| ~ coll(sK3,X0,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4080,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_4079]) ).
tcf(c_4083,plain,
! [X0: $i] :
( coll(sK2,sK3,X0)
| ~ coll(sK2,X0,sK3) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4084,plain,
( coll(sK2,sK3,sK2)
| ~ coll(sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_4083]) ).
tcf(c_4085,plain,
! [X0: $i] :
( coll(sK2,sK5,X0)
| ~ coll(sK2,X0,sK5) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4086,plain,
( coll(sK2,sK5,sK2)
| ~ coll(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_4085]) ).
tcf(c_4092,plain,
! [X0: $i] :
( coll(sK9,sK2,X0)
| ~ coll(sK9,X0,sK2) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4289,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK6,X1)
| ~ midp(sK2,sK6,sK3)
| ~ coll(X0,sK6,X1)
| ~ para(sK2,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4290,plain,
( midp(sK2,sK6,sK2)
| ~ midp(sK2,sK6,sK3)
| ~ coll(sK2,sK6,sK2)
| ~ para(sK2,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_4289]) ).
tcf(c_4291,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK7,X1)
| ~ midp(sK2,sK7,sK5)
| ~ coll(X0,sK7,X1)
| ~ para(sK2,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4292,plain,
( midp(sK2,sK7,sK2)
| ~ midp(sK2,sK7,sK5)
| ~ coll(sK2,sK7,sK2)
| ~ para(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_4291]) ).
tcf(c_4335,plain,
( midp(sK2,sK5,sK7)
| ~ coll(sK2,sK5,sK7) ),
inference(superposition,[status(thm)],[c_57,c_84]) ).
tcf(c_4341,plain,
midp(sK2,sK5,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_4335,c_56]) ).
tcf(c_4514,plain,
coll(sK1,sK1,sK3),
inference(superposition,[status(thm)],[c_51,c_3863]) ).
tcf(c_4530,plain,
! [X0: $i] :
( coll(sK3,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_4514,c_88]) ).
tcf(c_4554,plain,
! [X0: $i] :
( perp(sK2,sK2,sK3,X0)
| ~ cong(sK2,sK3,sK2,sK3)
| ~ cong(sK2,X0,sK2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_4555,plain,
( perp(sK2,sK2,sK3,sK2)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK3,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_4554]) ).
tcf(c_4594,plain,
! [X0: $i] :
( perp(sK2,sK2,sK5,X0)
| ~ cong(sK2,sK5,sK2,sK5)
| ~ cong(sK2,X0,sK2,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_4595,plain,
( perp(sK2,sK2,sK5,sK2)
| ~ cong(sK2,sK5,sK2,sK5)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4594]) ).
tcf(c_4607,plain,
coll(sK6,sK6,sK2),
inference(superposition,[status(thm)],[c_54,c_3707]) ).
tcf(c_4653,plain,
coll(sK6,sK2,sK6),
inference(superposition,[status(thm)],[c_4607,c_90]) ).
tcf(c_4732,plain,
! [X0: $i,X1: $i] :
( para(X0,sK2,X1,sK7)
| ~ midp(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_4341,c_131]) ).
tcf(c_4769,plain,
! [X0: $i] :
( coll(sK0,sK9,X0)
| ~ coll(sK0,X0,sK9) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4770,plain,
( coll(sK0,sK9,sK2)
| ~ coll(sK0,sK2,sK9) ),
inference(instantiation,[status(thm)],[c_4769]) ).
tcf(c_4910,plain,
coll(sK7,sK7,sK2),
inference(superposition,[status(thm)],[c_56,c_3708]) ).
tcf(c_4911,plain,
coll(sK7,sK9,sK2),
inference(superposition,[status(thm)],[c_2796,c_3708]) ).
tcf(c_4927,plain,
( coll(sK6,sK9,sK2)
| ~ coll(sK2,sK3,sK9)
| ~ coll(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_1978]) ).
tcf(c_4964,plain,
coll(sK7,sK2,sK7),
inference(superposition,[status(thm)],[c_4910,c_90]) ).
tcf(c_4982,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_58,c_3867]) ).
tcf(c_4988,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_4982,c_88]) ).
tcf(c_5051,plain,
coll(sK1,sK1,sK9),
inference(superposition,[status(thm)],[c_60,c_3869]) ).
tcf(c_5076,plain,
! [X0: $i] :
( coll(sK9,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_5051,c_88]) ).
tcf(c_5276,plain,
( para(sK2,sK2,sK6,sK6)
| ~ midp(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_2842]) ).
tcf(c_5292,plain,
( cong(sK2,sK6,sK2,sK6)
| ~ cong(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_2757]) ).
tcf(c_5298,plain,
( cong(sK2,sK7,sK2,sK7)
| ~ cong(sK2,sK5,sK2,sK7)
| ~ cong(sK2,sK7,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_2826]) ).
tcf(c_5958,plain,
coll(sK2,sK6,sK6),
inference(superposition,[status(thm)],[c_4653,c_89]) ).
tcf(c_6655,plain,
( midp(sK2,sK6,sK6)
| ~ coll(sK2,sK6,sK6)
| ~ cong(sK2,sK6,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6656,plain,
! [X0: $i,X1: $i] :
( cyclic(sK6,sK6,X0,X1)
| ~ cong(sK2,sK6,sK2,sK6)
| ~ cong(sK2,sK6,sK2,X1)
| ~ cong(sK2,sK6,sK2,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_6674,plain,
( midp(sK2,sK7,sK7)
| ~ coll(sK2,sK7,sK7)
| ~ cong(sK2,sK7,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6707,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK6)
| ~ cong(X0,X1,sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_107]) ).
tcf(c_6708,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK7)
| ~ cong(X0,X1,sK2,sK5) ),
inference(superposition,[status(thm)],[c_57,c_107]) ).
tcf(c_6770,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK3)
| ~ cong(X0,X1,sK2,sK6) ),
inference(superposition,[status(thm)],[c_3343,c_107]) ).
tcf(c_6948,plain,
coll(sK7,sK2,sK9),
inference(superposition,[status(thm)],[c_4911,c_90]) ).
tcf(c_6981,plain,
coll(sK2,sK7,sK7),
inference(superposition,[status(thm)],[c_4964,c_89]) ).
tcf(c_7285,plain,
cong(sK2,sK6,sK2,sK6),
inference(superposition,[status(thm)],[c_3334,c_6707]) ).
tcf(c_7286,plain,
cong(sK6,sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_3518,c_6707]) ).
tcf(c_7304,plain,
cong(sK2,sK7,sK2,sK7),
inference(superposition,[status(thm)],[c_3335,c_6708]) ).
tcf(c_7756,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK2)
| ~ coll(sK2,sK3,X1)
| ~ coll(sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_7759,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_7756]) ).
tcf(c_8547,plain,
! [X0: $i] :
( coll(sK9,X0,sK7)
| ~ coll(sK7,sK2,X0) ),
inference(superposition,[status(thm)],[c_6948,c_88]) ).
tcf(c_8552,plain,
( coll(sK9,sK2,sK7)
| ~ coll(sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_8547]) ).
tcf(c_8782,plain,
cong(sK6,sK2,sK6,sK2),
inference(superposition,[status(thm)],[c_7286,c_109]) ).
tcf(c_8816,plain,
( midp(sK2,sK7,sK7)
| ~ coll(sK2,sK7,sK7) ),
inference(superposition,[status(thm)],[c_7304,c_84]) ).
tcf(c_8817,plain,
! [X0: $i] :
( perp(sK2,sK2,sK7,X0)
| ~ cong(sK2,X0,sK2,X0) ),
inference(superposition,[status(thm)],[c_7304,c_98]) ).
tcf(c_8821,plain,
midp(sK2,sK7,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_8816,c_6981]) ).
tcf(c_8858,plain,
( coll(sK2,sK3,sK9)
| ~ coll(sK3,sK2,sK9) ),
inference(instantiation,[status(thm)],[c_3996]) ).
tcf(c_8880,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK2,X0,X1)
| ~ para(sK2,sK2,sK6,sK6)
| ~ para(sK6,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_8883,plain,
( para(sK6,sK6,sK2,sK2)
| ~ para(sK2,sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_8885,plain,
( para(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK6,sK6)
| ~ para(sK6,sK6,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_9762,plain,
perp(sK2,sK2,sK7,sK6),
inference(superposition,[status(thm)],[c_7285,c_8817]) ).
tcf(c_10912,plain,
! [X0: $i] :
( coll(sK0,sK3,X0)
| ~ coll(sK3,sK0,X0) ),
inference(instantiation,[status(thm)],[c_4010]) ).
tcf(c_10913,plain,
( coll(sK0,sK3,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_10912]) ).
tcf(c_11075,plain,
! [X0: $i,X1: $i] :
( para(X0,sK2,X1,sK6)
| ~ midp(sK2,sK6,sK6)
| ~ midp(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_11081,plain,
( para(sK2,sK2,sK2,sK6)
| ~ midp(sK2,sK6,sK2)
| ~ midp(sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_11075]) ).
tcf(c_11116,plain,
! [X0: $i,X1: $i] :
( para(X0,sK2,X1,sK7)
| ~ midp(X0,sK7,X1) ),
inference(superposition,[status(thm)],[c_8821,c_131]) ).
tcf(c_11125,plain,
( para(sK2,sK2,sK2,sK7)
| ~ midp(sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_11116]) ).
tcf(c_12384,plain,
! [X0: $i] :
( midp(X0,sK2,sK6)
| ~ midp(X0,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_12385,plain,
( midp(sK2,sK2,sK6)
| ~ midp(sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_12384]) ).
tcf(c_12657,plain,
! [X0: $i] :
( cong(sK2,sK6,sK2,X0)
| ~ midp(sK2,sK6,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_12659,plain,
( cong(sK2,sK6,sK2,sK2)
| ~ midp(sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_12657]) ).
tcf(c_12663,plain,
! [X0: $i] :
( cong(sK2,sK7,sK2,X0)
| ~ midp(sK2,sK7,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_12665,plain,
( cong(sK2,sK7,sK2,sK2)
| ~ midp(sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_12663]) ).
tcf(c_13418,plain,
coll(sK3,sK3,sK1),
inference(superposition,[status(thm)],[c_4514,c_4530]) ).
tcf(c_13419,plain,
coll(sK3,sK9,sK1),
inference(superposition,[status(thm)],[c_5051,c_4530]) ).
tcf(c_13498,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK5,X1)
| ~ coll(X0,sK5,X1)
| ~ cong(X0,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_13499,plain,
( midp(sK2,sK5,sK2)
| ~ coll(sK2,sK5,sK2)
| ~ cong(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_13498]) ).
tcf(c_13533,plain,
coll(sK3,sK1,sK9),
inference(superposition,[status(thm)],[c_13419,c_90]) ).
tcf(c_14130,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK3,sK2)
| ~ para(sK3,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_14131,plain,
( para(sK2,sK2,sK3,sK2)
| ~ para(sK3,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_14130]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK2)
| ~ para(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_14133,plain,
( para(sK2,sK2,sK5,sK2)
| ~ para(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_14132]) ).
tcf(c_14518,plain,
coll(sK8,sK1,sK3),
inference(superposition,[status(thm)],[c_13418,c_4988]) ).
tcf(c_14692,plain,
( cyclic(sK0,sK6,sK7,sK9)
| ~ cyclic(sK6,sK0,sK7,sK9) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_14750,plain,
coll(sK9,sK9,sK1),
inference(superposition,[status(thm)],[c_5051,c_5076]) ).
tcf(c_16136,plain,
! [X0: $i,X1: $i] :
( perp(sK3,sK2,X0,X1)
| ~ perp(X0,X1,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_16137,plain,
( perp(sK3,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_16136]) ).
tcf(c_16139,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK2,X0,X1)
| ~ perp(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_16140,plain,
( perp(sK5,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_16139]) ).
tcf(c_16629,plain,
! [X0: $i] :
( cong(sK3,sK2,sK3,sK6)
| ~ midp(X0,sK2,sK6)
| ~ perp(sK3,X0,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_16630,plain,
( cong(sK3,sK2,sK3,sK6)
| ~ midp(sK2,sK2,sK6)
| ~ perp(sK3,sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_16629]) ).
tcf(c_16682,plain,
coll(sK9,sK1,sK9),
inference(superposition,[status(thm)],[c_14750,c_90]) ).
tcf(c_17629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK1,X2,X3)
| ~ para(sK0,sK1,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_17630,plain,
( perp(sK0,sK1,sK2,sK2)
| ~ para(sK0,sK1,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_17629]) ).
tcf(c_17631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK4,X2,X3)
| ~ para(sK0,sK4,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_17632,plain,
( perp(sK0,sK4,sK2,sK2)
| ~ para(sK0,sK4,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_17631]) ).
tcf(c_18806,plain,
! [X0: $i] :
( circle(sK2,sK3,X0,sK6)
| ~ cong(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK3,sK2,X0) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_18807,plain,
( circle(sK2,sK3,sK2,sK6)
| ~ cong(sK2,sK3,sK2,sK2)
| ~ cong(sK2,sK3,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_18806]) ).
tcf(c_18834,plain,
! [X0: $i] :
( circle(sK3,sK2,X0,sK6)
| ~ cong(sK3,sK2,sK3,sK6)
| ~ cong(sK3,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_18835,plain,
( circle(sK3,sK2,sK2,sK6)
| ~ cong(sK3,sK2,sK3,sK2)
| ~ cong(sK3,sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_18834]) ).
tcf(c_19260,plain,
( cyclic(sK6,sK0,sK7,sK9)
| ~ cyclic(sK6,sK7,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_19540,plain,
! [X0: $i,X1: $i] :
( para(X1,sK7,X0,sK2)
| ~ midp(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_4732,c_135]) ).
tcf(c_19559,plain,
( para(sK2,sK7,sK2,sK2)
| ~ midp(sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_19540]) ).
tcf(c_22854,plain,
coll(sK0,sK9,sK3),
inference(superposition,[status(thm)],[c_13533,c_3879]) ).
tcf(c_25835,plain,
coll(sK8,sK3,sK1),
inference(superposition,[status(thm)],[c_14518,c_90]) ).
tcf(c_26608,plain,
coll(sK2,sK9,sK5),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_26667,plain,
coll(sK2,sK5,sK9),
inference(superposition,[status(thm)],[c_26608,c_90]) ).
tcf(c_26712,plain,
cong(sK2,sK3,sK6,sK2),
inference(superposition,[status(thm)],[c_55,c_109]) ).
tcf(c_26750,plain,
cong(sK6,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_26712,c_108]) ).
tcf(c_26840,plain,
! [X0: $i] :
( coll(sK9,X0,sK2)
| ~ coll(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_26667,c_88]) ).
tcf(c_27114,plain,
coll(sK9,sK9,sK2),
inference(superposition,[status(thm)],[c_26667,c_26840]) ).
tcf(c_27151,plain,
( cong(sK2,sK7,sK2,sK6)
| ~ midp(sK2,sK7,sK6) ),
inference(superposition,[status(thm)],[c_9762,c_99]) ).
tcf(c_27458,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK6)
| ~ cong(X0,X1,sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_107]) ).
tcf(c_28724,plain,
cong(sK6,sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_26750,c_27458]) ).
tcf(c_29382,plain,
cong(sK6,sK2,sK6,sK2),
inference(superposition,[status(thm)],[c_28724,c_109]) ).
tcf(c_29656,plain,
! [X0: $i] :
( circle(sK6,sK2,sK2,X0)
| ~ cong(sK6,sK2,sK6,X0) ),
inference(superposition,[status(thm)],[c_29382,c_149]) ).
tcf(c_29657,plain,
( midp(sK6,sK2,sK2)
| ~ coll(sK6,sK2,sK2) ),
inference(superposition,[status(thm)],[c_29382,c_84]) ).
tcf(c_29673,plain,
( circle(sK6,sK2,sK2,sK2)
| ~ cong(sK6,sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_29656]) ).
tcf(c_32110,plain,
coll(sK0,sK9,sK9),
inference(superposition,[status(thm)],[c_16682,c_3885]) ).
tcf(c_32683,plain,
cong(sK2,sK3,sK2,sK3),
inference(superposition,[status(thm)],[c_55,c_6770]) ).
tcf(c_32815,plain,
! [X0: $i] :
( circle(sK2,sK3,sK3,X0)
| ~ cong(sK2,sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_32683,c_149]) ).
tcf(c_34150,plain,
! [X0: $i] :
( coll(sK3,X0,sK0)
| ~ coll(sK0,sK9,X0) ),
inference(superposition,[status(thm)],[c_22854,c_88]) ).
tcf(c_34152,plain,
coll(sK9,sK0,sK3),
inference(superposition,[status(thm)],[c_22854,c_89]) ).
tcf(c_34156,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK9,sK2) ),
inference(instantiation,[status(thm)],[c_34150]) ).
tcf(c_34889,plain,
coll(sK2,sK1,sK8),
inference(superposition,[status(thm)],[c_25835,c_3883]) ).
tcf(c_36164,plain,
coll(sK9,sK0,sK9),
inference(superposition,[status(thm)],[c_32110,c_89]) ).
tcf(c_36769,plain,
circle(sK2,sK3,sK3,sK6),
inference(superposition,[status(thm)],[c_55,c_32815]) ).
tcf(c_37070,plain,
( perp(sK3,sK3,sK3,sK6)
| ~ coll(sK2,sK3,sK6) ),
inference(superposition,[status(thm)],[c_36769,c_144]) ).
tcf(c_37071,plain,
perp(sK3,sK3,sK3,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_37070,c_54]) ).
tcf(c_37076,plain,
! [X0: $i] :
( cong(sK3,X0,sK3,X0)
| ~ midp(X0,sK3,sK6) ),
inference(superposition,[status(thm)],[c_37071,c_100]) ).
tcf(c_37098,plain,
( cong(sK3,sK2,sK3,sK2)
| ~ midp(sK2,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_37076]) ).
tcf(c_37535,plain,
! [X0: $i] :
( coll(sK3,X0,sK9)
| ~ coll(sK9,sK0,X0) ),
inference(superposition,[status(thm)],[c_34152,c_88]) ).
tcf(c_37541,plain,
( coll(sK3,sK2,sK9)
| ~ coll(sK9,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_37535]) ).
tcf(c_38412,plain,
coll(sK2,sK8,sK1),
inference(superposition,[status(thm)],[c_34889,c_90]) ).
tcf(c_38768,plain,
! [X0: $i] :
( cong(X0,sK0,X0,sK6)
| ~ cong(X0,sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_38769,plain,
( cong(sK2,sK0,sK2,sK6)
| ~ cong(sK2,sK0,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_38768]) ).
tcf(c_39439,plain,
coll(sK9,sK9,sK0),
inference(superposition,[status(thm)],[c_36164,c_90]) ).
tcf(c_40558,plain,
coll(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_38412,c_3875]) ).
tcf(c_41293,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK9,X0) ),
inference(superposition,[status(thm)],[c_39439,c_88]) ).
tcf(c_41298,plain,
( coll(sK0,sK2,sK9)
| ~ coll(sK9,sK9,sK2) ),
inference(instantiation,[status(thm)],[c_41293]) ).
tcf(c_43332,plain,
coll(sK0,sK2,sK3),
inference(superposition,[status(thm)],[c_40558,c_3879]) ).
tcf(c_43978,plain,
! [X0: $i] :
( coll(sK9,sK6,X0)
| ~ coll(sK6,sK9,X0) ),
inference(instantiation,[status(thm)],[c_4051]) ).
tcf(c_43979,plain,
( coll(sK9,sK6,sK2)
| ~ coll(sK6,sK9,sK2) ),
inference(instantiation,[status(thm)],[c_43978]) ).
tcf(c_47169,plain,
coll(sK0,sK3,sK2),
inference(superposition,[status(thm)],[c_43332,c_90]) ).
tcf(c_50658,plain,
( coll(sK9,sK2,sK6)
| ~ coll(sK9,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_4092]) ).
tcf(c_53387,plain,
( cyclic(sK6,sK6,sK0,sK7)
| ~ cong(sK2,sK6,sK2,sK7)
| ~ cong(sK2,sK6,sK2,sK6)
| ~ cong(sK2,sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_6656]) ).
tcf(c_54399,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_47169,c_88]) ).
tcf(c_54405,plain,
( coll(sK2,sK2,sK0)
| ~ coll(sK0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_54399]) ).
tcf(c_59849,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK0)
| ~ cong(X0,sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_59850,plain,
( cong(sK2,sK6,sK2,sK0)
| ~ cong(sK2,sK0,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_59849]) ).
tcf(c_59931,plain,
( coll(sK7,sK9,sK6)
| ~ coll(sK7,sK6,sK9) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_59950,plain,
! [X0: $i] :
( cyclic(sK6,sK7,sK0,sK9)
| ~ cyclic(X0,sK6,sK7,sK9)
| ~ cyclic(X0,sK6,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_60039,plain,
! [X0: $i] :
( coll(sK7,sK6,sK9)
| ~ coll(sK9,X0,sK7)
| ~ coll(sK9,X0,sK6) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_60040,plain,
( coll(sK7,sK6,sK9)
| ~ coll(sK9,sK2,sK7)
| ~ coll(sK9,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_60039]) ).
tcf(c_60087,plain,
! [X0: $i] :
( coll(sK6,X0,sK7)
| ~ midp(sK6,X0,sK7) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_60088,plain,
( coll(sK6,sK2,sK7)
| ~ midp(sK6,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_60087]) ).
tcf(c_60115,plain,
! [X0: $i] :
( eqangle(sK7,sK6,sK7,X0,sK9,sK6,sK9,X0)
| ~ eqangle(sK7,sK6,sK9,sK6,sK7,X0,sK9,X0) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_60153,plain,
! [X0: $i] :
( cong(X0,sK0,sK6,X0)
| ~ cong(sK6,X0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_60154,plain,
( cong(sK2,sK0,sK6,sK2)
| ~ cong(sK6,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_60153]) ).
tcf(c_60163,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK0,sK6)
| ~ cyclic(X0,X1,X2,sK6)
| ~ cyclic(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_60164,plain,
( cyclic(sK2,sK2,sK0,sK6)
| ~ cyclic(sK2,sK2,sK2,sK6)
| ~ cyclic(sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_60163]) ).
tcf(c_60173,plain,
! [X0: $i] :
( eqangle(sK7,sK6,sK9,sK6,sK7,X0,sK9,sK6)
| ~ para(sK7,sK6,sK7,X0) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_60707,plain,
! [X0: $i] :
( cyclic(X0,sK6,sK7,sK0)
| ~ cyclic(X0,sK6,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_60744,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK6,X1,sK7)
| ~ midp(sK6,X0,X2)
| ~ para(X0,sK7,X2,X1)
| ~ para(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_60745,plain,
( midp(sK6,sK2,sK7)
| ~ midp(sK6,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK7)
| ~ para(sK2,sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_60744]) ).
tcf(c_61034,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK6,sK7,X1)
| ~ midp(X0,sK7,sK7)
| ~ midp(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_61098,plain,
! [X0: $i] :
( cyclic(sK6,X0,sK7,sK9)
| ~ coll(sK7,sK9,X0)
| ~ eqangle(sK7,sK6,sK7,X0,sK9,sK6,sK9,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_61309,plain,
! [X0: $i] :
( cong(sK6,X0,X0,sK0)
| ~ cong(sK6,X0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_61310,plain,
( cong(sK6,sK2,sK2,sK0)
| ~ cong(sK6,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_61309]) ).
tcf(c_61436,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK0,sK6,X2)
| ~ cyclic(X0,X1,sK0,sK6)
| ~ cyclic(X0,X1,sK0,X2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_61437,plain,
( cyclic(sK2,sK0,sK6,sK2)
| ~ cyclic(sK2,sK2,sK0,sK2)
| ~ cyclic(sK2,sK2,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_61436]) ).
tcf(c_61791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK0,X0,sK0,sK6)
| ~ perp(X1,X2,X3,X4)
| ~ eqangle(sK0,X0,sK0,sK6,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_61854,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK0)
| ~ cyclic(X0,X1,sK0,X2) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_61855,plain,
( cyclic(sK2,sK2,sK2,sK0)
| ~ cyclic(sK2,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_61854]) ).
tcf(c_62127,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK0,X0,X2)
| ~ coll(X0,X2,sK0)
| ~ eqangle(X0,X1,X0,sK0,X2,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_62128,plain,
( cyclic(sK2,sK0,sK2,sK2)
| ~ coll(sK2,sK2,sK0)
| ~ eqangle(sK2,sK2,sK2,sK0,sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_62127]) ).
tcf(c_63185,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK7,sK6)
| ~ coll(X1,sK7,sK6)
| ~ midp(X0,sK7,X2)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_63186,plain,
( midp(sK2,sK7,sK6)
| ~ midp(sK2,sK7,sK2)
| ~ coll(sK2,sK7,sK6)
| ~ para(sK2,sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_63185]) ).
tcf(c_63412,plain,
( eqangle(sK7,sK6,sK9,sK6,sK7,sK6,sK9,sK6)
| ~ para(sK7,sK6,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_60173]) ).
tcf(c_63413,plain,
( eqangle(sK7,sK6,sK7,sK6,sK9,sK6,sK9,sK6)
| ~ eqangle(sK7,sK6,sK9,sK6,sK7,sK6,sK9,sK6) ),
inference(instantiation,[status(thm)],[c_60115]) ).
tcf(c_63514,plain,
! [X0: $i] :
( perp(sK6,sK0,sK0,X0)
| ~ perp(sK0,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_63515,plain,
( perp(sK6,sK0,sK0,sK2)
| ~ perp(sK0,sK2,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_63514]) ).
tcf(c_63679,plain,
! [X0: $i] :
( perp(sK0,X0,sK6,sK0)
| ~ perp(sK0,X0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_63680,plain,
( perp(sK0,sK2,sK6,sK0)
| ~ perp(sK0,sK2,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_63679]) ).
tcf(c_64674,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK7,sK6)
| ~ coll(sK6,X0,sK7)
| ~ coll(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_64675,plain,
( coll(sK2,sK7,sK6)
| ~ coll(sK6,sK2,sK2)
| ~ coll(sK6,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_64674]) ).
tcf(c_65131,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X1,sK0,X1)
| ~ midp(X1,sK6,X0)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_65132,plain,
( cong(sK6,sK2,sK0,sK2)
| ~ midp(sK2,sK6,sK2)
| ~ perp(sK6,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_65131]) ).
tcf(c_65842,plain,
! [X0: $i] :
( para(sK7,sK6,sK7,sK6)
| ~ midp(X0,sK7,sK7)
| ~ midp(X0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_61034]) ).
tcf(c_65843,plain,
( para(sK7,sK6,sK7,sK6)
| ~ midp(sK2,sK7,sK7)
| ~ midp(sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_65842]) ).
tcf(c_66025,plain,
( cyclic(sK6,sK6,sK7,sK9)
| ~ coll(sK7,sK9,sK6)
| ~ eqangle(sK7,sK6,sK7,sK6,sK9,sK6,sK9,sK6) ),
inference(instantiation,[status(thm)],[c_61098]) ).
tcf(c_66139,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK6,sK0,X1)
| ~ cyclic(X0,sK0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_66140,plain,
( cyclic(sK2,sK6,sK0,sK2)
| ~ cyclic(sK2,sK0,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_66139]) ).
tcf(c_66781,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK0,X2)
| ~ cyclic(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_66782,plain,
( cyclic(sK2,sK2,sK0,sK2)
| ~ cyclic(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_66781]) ).
tcf(c_68538,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK7)
| ~ cong(X0,sK7,X0,sK6) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_68539,plain,
( cong(sK2,sK6,sK2,sK7)
| ~ cong(sK2,sK7,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_68538]) ).
tcf(c_71128,plain,
! [X0: $i,X1: $i] :
( perp(sK0,X0,sK0,sK6)
| ~ perp(X1,X0,X1,sK6)
| ~ eqangle(sK0,X0,sK0,sK6,X1,X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_61791]) ).
tcf(c_71129,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,X0,sK0,sK6,X1,X0,X1,sK6)
| ~ cyclic(X0,sK6,sK0,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_71130,plain,
( perp(sK0,sK2,sK0,sK6)
| ~ perp(sK2,sK2,sK2,sK6)
| ~ eqangle(sK0,sK2,sK0,sK6,sK2,sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_71128]) ).
tcf(c_71131,plain,
( eqangle(sK0,sK2,sK0,sK6,sK2,sK2,sK2,sK6)
| ~ cyclic(sK2,sK6,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_71129]) ).
tcf(c_71742,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK0,X0,X1,X0,sK0)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_71743,plain,
( eqangle(sK2,sK2,sK2,sK0,sK2,sK2,sK2,sK0)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_71742]) ).
tcf(c_72919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X0,X2,sK6,X1,sK6,X3)
| ~ midp(X3,X1,X2)
| ~ circle(sK6,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_72920,plain,
( eqangle(sK2,sK2,sK2,sK2,sK6,sK2,sK6,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ circle(sK6,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_72919]) ).
tcf(c_73474,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK6)
| ~ coll(X0,sK6,X2)
| ~ eqangle(X0,X1,X0,X2,sK6,X1,sK6,X2) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_73475,plain,
( cyclic(sK2,sK2,sK2,sK6)
| ~ coll(sK2,sK6,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK6,sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_73474]) ).
tcf(c_77195,plain,
( cyclic(sK6,sK7,sK0,sK9)
| ~ cyclic(sK6,sK6,sK7,sK9)
| ~ cyclic(sK6,sK6,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_59950]) ).
tcf(c_80181,plain,
( cyclic(sK6,sK6,sK7,sK0)
| ~ cyclic(sK6,sK6,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_60707]) ).
tcf(c_80182,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80181,c_77195,c_73475,c_72920,c_71743,c_71131,c_71130,c_68539,c_66782,c_66140,c_66025,c_65843,c_65132,c_64675,c_63680,c_63515,c_63413,c_63412,c_63186,c_62128,c_61855,c_61437,c_61310,c_60745,c_60164,c_60154,c_60088,c_60040,c_59931,c_59850,c_54405,c_53387,c_50658,c_43979,c_41298,c_38769,c_37541,c_37098,c_34156,c_29673,c_29657,c_27151,c_27114,c_19559,c_19260,c_18835,c_18807,c_17632,c_17630,c_16630,c_16140,c_16137,c_14692,c_14133,c_14131,c_13499,c_12665,c_12659,c_12385,c_11125,c_11081,c_10913,c_8885,c_8883,c_8858,c_8782,c_8552,c_7759,c_6981,c_6674,c_6655,c_5958,c_5298,c_5292,c_5276,c_4927,c_4770,c_4595,c_4555,c_4292,c_4290,c_4086,c_4084,c_4080,c_4023,c_4021,c_4005,c_3828,c_3825,c_2913,c_2912,c_2683,c_2667,c_2645,c_2564,c_2534,c_2507,c_2300,c_2027,c_2025,c_2021,c_2019,c_2003,c_1992,c_1981,c_1979,c_1971,c_1970,c_1967,c_1966,c_1965,c_1962,c_1961,c_1960,c_1952,c_201,c_169,c_163,c_159,c_155,c_49,c_50,c_52,c_55,c_57,c_54,c_56,c_58,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO624+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:37:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 26.95/5.79 % SZS status Started for theBenchmark.p
% 26.95/5.79 % SZS status Theorem for theBenchmark.p
% 26.95/5.79
% 26.95/5.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.95/5.79
% 26.95/5.79 % ------ iProver source info
% 26.95/5.79
% 26.95/5.79 % git: date: 2026-07-19 20:42:38 +0200
% 26.95/5.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.95/5.79 % git: non_committed_changes: false
% 26.95/5.79
% 26.95/5.79 % ------ Parsing...
% 26.95/5.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.95/5.79
% 26.95/5.79 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.95/5.79
% 26.95/5.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 26.95/5.79 % ------ Proving...
% 26.95/5.79 % ------ Problem Properties
% 26.95/5.79
% 26.95/5.79 %
% 26.95/5.79 % clauses 100
% 26.95/5.79 % conjectures 13
% 26.95/5.79 % EPR 67
% 26.95/5.79 % Horn 95
% 26.95/5.79 % unary 13
% 26.95/5.79 % binary 24
% 26.95/5.79 % lits 269
% 26.95/5.79 % lits eq 0
% 26.95/5.79 % fd_pure 0
% 26.95/5.79 % fd_pseudo 0
% 26.95/5.79 % fd_cond 0
% 26.95/5.79 % fd_pseudo_cond 0
% 26.95/5.79 % AC symbols 0
% 26.95/5.79
% 26.95/5.79 % ------ Schedule dynamic 5 is on
% 26.95/5.79
% 26.95/5.79 % ------ no equalities: superposition off
% 26.95/5.79
% 26.95/5.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.95/5.79
% 26.95/5.79
% 26.95/5.79 % ------
% 26.95/5.79 % Current options:
% 26.95/5.79 % ------
% 26.95/5.79
% 26.95/5.79
% 26.95/5.79 %
% 26.95/5.79
% 26.95/5.79 % ------ Proving...
% 26.95/5.79 %
% 26.95/5.79
% 26.95/5.79 % SZS status Theorem for theBenchmark.p
% 26.95/5.79
% 26.95/5.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.95/5.79
% 26.95/5.79
%------------------------------------------------------------------------------