%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO655+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 01:21:46 PM UTC 2026
% Result : Theorem 36.04s 5.84s
% Output : CNFRefutation 36.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 335 ( 45 unt; 0 def)
% Number of atoms : 876 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 981 ( 440 ~; 434 |; 75 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 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 : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 834 ( 0 sgn 812 !; 22 ?; 290 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(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(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(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(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(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(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,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0229) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0)
& ~ para(X5,X6,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0)
& ~ para(X5,X6,X0,X2) ),
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(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(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(f157,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f160,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(f161,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,[],[f160]) ).
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(f171,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f177]) ).
fof(f187,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(f188,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f187]) ).
fof(f192,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(f196,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(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
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(f220,plain,
( perp(sK3,sK5,sK5,sK6)
& circle(sK3,sK1,sK5,sK10)
& coll(sK1,sK4,sK5)
& eqangle(sK2,sK1,sK1,sK4,sK4,sK1,sK1,sK0)
& coll(sK4,sK0,sK2)
& perp(sK0,sK2,sK9,sK3)
& midp(sK9,sK0,sK2)
& perp(sK1,sK2,sK8,sK3)
& midp(sK8,sK1,sK2)
& perp(sK1,sK0,sK7,sK3)
& midp(sK7,sK1,sK0)
& ~ para(sK5,sK6,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),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),skolemize(X10,sK10)],[f99]) ).
fof(f239,plain,
perp(sK3,sK5,sK5,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK1,sK4,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK0,sK2,sK9,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
midp(sK9,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
midp(sK8,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
midp(sK7,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
~ para(sK5,sK6,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f276,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(f277,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f289,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(f290,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f292,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(f294,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(f295,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(f296,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(f297,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f300,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,[],[f161]) ).
fof(f301,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(f302,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f319,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,[],[f192]) ).
fof(f323,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,[],[f197]) ).
fof(f330,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(f331,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]) ).
tcf(c_49,negated_conjecture,
~ para(sK5,sK6,sK0,sK2),
inference(cnf_transformation,[],[f250]) ).
tcf(c_50,negated_conjecture,
midp(sK7,sK1,sK0),
inference(cnf_transformation,[],[f249]) ).
tcf(c_52,negated_conjecture,
midp(sK8,sK1,sK2),
inference(cnf_transformation,[],[f247]) ).
tcf(c_54,negated_conjecture,
midp(sK9,sK0,sK2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_55,negated_conjecture,
perp(sK0,sK2,sK9,sK3),
inference(cnf_transformation,[],[f244]) ).
tcf(c_58,negated_conjecture,
coll(sK1,sK4,sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_60,negated_conjecture,
perp(sK3,sK5,sK5,sK6),
inference(cnf_transformation,[],[f239]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_126,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,[],[f316]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_133,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,[],[f323]) ).
tcf(c_140,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,[],[f330]) ).
tcf(c_141,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,[],[f331]) ).
tcf(c_151,plain,
( coll(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_156,plain,
( eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_158,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_161,plain,
( perp(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_166,plain,
( cyclic(sK1,sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_200,plain,
( cong(sK1,sK1,sK1,sK1)
| ~ cyclic(sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_2063,plain,
( coll(sK1,sK5,sK4)
| ~ coll(sK1,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2064,plain,
( midp(sK7,sK0,sK1)
| ~ midp(sK7,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2065,plain,
( midp(sK8,sK2,sK1)
| ~ midp(sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2067,plain,
( cong(sK7,sK1,sK7,sK0)
| ~ midp(sK7,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2068,plain,
( cong(sK8,sK1,sK8,sK2)
| ~ midp(sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2073,plain,
( perp(sK5,sK6,sK3,sK5)
| ~ perp(sK3,sK5,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2080,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK4,sK5)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2081,plain,
( coll(sK5,sK1,sK1)
| ~ coll(sK1,sK4,sK1)
| ~ coll(sK1,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_2080]) ).
tcf(c_2084,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK7,sK1,sK0)
| ~ midp(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK8,sK1,sK2)
| ~ midp(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2087,plain,
( para(sK1,sK1,sK2,sK1)
| ~ midp(sK8,sK1,sK1)
| ~ midp(sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2086]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] :
( midp(sK9,X0,X1)
| ~ midp(sK9,sK0,sK2)
| ~ para(sK0,X1,sK2,X0)
| ~ para(sK0,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2160,plain,
( midp(sK9,sK1,sK1)
| ~ midp(sK9,sK0,sK2)
| ~ para(sK0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2159]) ).
tcf(c_2396,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK5,sK4)
| ~ coll(sK1,sK5,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2399,plain,
( coll(sK4,sK1,sK1)
| ~ coll(sK1,sK5,sK4)
| ~ coll(sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2396]) ).
tcf(c_2415,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK1,X1)
| ~ midp(sK7,sK0,sK1)
| ~ midp(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2416,plain,
( cong(sK7,sK0,sK7,sK1)
| ~ midp(sK7,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2419,plain,
( para(sK0,sK1,sK1,sK1)
| ~ midp(sK7,sK1,sK1)
| ~ midp(sK7,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2415]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK0,X1)
| ~ midp(sK7,sK0,sK1)
| ~ coll(X0,sK0,X1)
| ~ para(sK7,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2426,plain,
( midp(sK1,sK0,sK1)
| ~ coll(sK1,sK0,sK1)
| ~ midp(sK7,sK0,sK1)
| ~ para(sK7,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2425]) ).
tcf(c_2449,plain,
( cong(sK8,sK2,sK8,sK1)
| ~ midp(sK8,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i] :
( cong(sK7,sK1,X0,X1)
| ~ cong(sK7,sK1,sK7,sK0)
| ~ cong(sK7,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2525,plain,
! [X0: $i,X1: $i] :
( cong(sK8,sK1,X0,X1)
| ~ cong(sK8,sK1,sK8,sK2)
| ~ cong(sK8,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2590,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK6,X0,X1)
| ~ perp(sK5,sK6,sK3,sK5)
| ~ perp(sK3,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2685,plain,
( coll(sK5,sK5,sK1)
| ~ coll(sK1,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_2080]) ).
tcf(c_2694,plain,
coll(sK7,sK1,sK0),
inference(superposition,[status(thm)],[c_50,c_82]) ).
tcf(c_2695,plain,
coll(sK8,sK1,sK2),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_2720,plain,
( para(sK1,sK1,sK0,sK0)
| ~ midp(sK7,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2084]) ).
tcf(c_2730,plain,
coll(sK1,sK7,sK0),
inference(superposition,[status(thm)],[c_2694,c_88]) ).
tcf(c_2731,plain,
coll(sK1,sK8,sK2),
inference(superposition,[status(thm)],[c_2695,c_88]) ).
tcf(c_2790,plain,
coll(sK7,sK0,sK1),
inference(superposition,[status(thm)],[c_2694,c_89]) ).
tcf(c_2791,plain,
coll(sK8,sK2,sK1),
inference(superposition,[status(thm)],[c_2695,c_89]) ).
tcf(c_2795,plain,
coll(sK1,sK0,sK7),
inference(superposition,[status(thm)],[c_2730,c_89]) ).
tcf(c_2796,plain,
coll(sK1,sK2,sK8),
inference(superposition,[status(thm)],[c_2731,c_89]) ).
tcf(c_2907,plain,
coll(sK0,sK7,sK1),
inference(superposition,[status(thm)],[c_2790,c_88]) ).
tcf(c_2935,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK5,sK1)
| ~ coll(sK5,sK5,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2936,plain,
( coll(sK5,sK1,sK5)
| ~ coll(sK5,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2938,plain,
( coll(sK1,sK1,sK5)
| ~ coll(sK5,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2935]) ).
tcf(c_2939,plain,
! [X0: $i] :
( perp(sK5,X0,X0,sK1)
| ~ coll(sK5,sK5,sK1)
| ~ circle(sK5,sK5,X0,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_2940,plain,
( perp(sK5,sK1,sK1,sK1)
| ~ coll(sK5,sK5,sK1)
| ~ circle(sK5,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2939]) ).
tcf(c_2991,plain,
coll(sK2,sK8,sK1),
inference(superposition,[status(thm)],[c_2791,c_88]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK1,X0,X1)
| ~ para(sK1,sK1,sK0,sK0)
| ~ para(sK0,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_3054,plain,
( para(sK0,sK0,sK1,sK1)
| ~ para(sK1,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_3057,plain,
( para(sK1,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK0,sK0)
| ~ para(sK0,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3050]) ).
tcf(c_3099,plain,
perp(sK9,sK3,sK0,sK2),
inference(superposition,[status(thm)],[c_55,c_114]) ).
tcf(c_3100,plain,
perp(sK5,sK6,sK3,sK5),
inference(superposition,[status(thm)],[c_60,c_114]) ).
tcf(c_3108,plain,
perp(sK5,sK6,sK3,sK5),
inference(superposition,[status(thm)],[c_60,c_114]) ).
tcf(c_3244,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK4,sK1,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3245,plain,
( coll(sK1,sK4,sK1)
| ~ coll(sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3244]) ).
tcf(c_3279,plain,
perp(sK5,sK6,sK5,sK3),
inference(superposition,[status(thm)],[c_3108,c_115]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK0,X1)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_3331,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_3330]) ).
tcf(c_3341,plain,
! [X0: $i] :
( coll(sK1,sK5,X0)
| ~ coll(sK1,X0,sK5) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_3342,plain,
( coll(sK1,sK5,sK1)
| ~ coll(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_3341]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,X0,X1)
| ~ para(X0,X1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_3481,plain,
( para(sK1,sK2,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_3480]) ).
tcf(c_3542,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_58,c_87]) ).
tcf(c_3562,plain,
! [X0: $i] :
( coll(sK7,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_2795,c_87]) ).
tcf(c_3563,plain,
! [X0: $i] :
( coll(sK8,X0,sK1)
| ~ coll(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_2796,c_87]) ).
tcf(c_3565,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK7,X0) ),
inference(superposition,[status(thm)],[c_2907,c_87]) ).
tcf(c_3566,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(sK2,sK8,X0) ),
inference(superposition,[status(thm)],[c_2991,c_87]) ).
tcf(c_3635,plain,
( coll(sK1,sK1,sK2)
| ~ coll(sK2,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_3566]) ).
tcf(c_3636,plain,
( coll(sK1,sK1,sK0)
| ~ coll(sK0,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_3565]) ).
tcf(c_3638,plain,
( coll(sK8,sK1,sK1)
| ~ coll(sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_3563]) ).
tcf(c_3639,plain,
( coll(sK7,sK1,sK1)
| ~ coll(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3562]) ).
tcf(c_3913,plain,
! [X0: $i,X1: $i] :
( midp(sK7,X0,X1)
| ~ coll(sK7,X0,X1)
| ~ cong(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3914,plain,
( midp(sK7,sK1,sK1)
| ~ coll(sK7,sK1,sK1)
| ~ cong(sK7,sK1,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_3913]) ).
tcf(c_3915,plain,
! [X0: $i,X1: $i] :
( midp(sK8,X0,X1)
| ~ coll(sK8,X0,X1)
| ~ cong(sK8,X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3916,plain,
( midp(sK8,sK1,sK1)
| ~ coll(sK8,sK1,sK1)
| ~ cong(sK8,sK1,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_3915]) ).
tcf(c_3995,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,sK2,X1,X2)
| ~ midp(X0,sK2,X2)
| ~ midp(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_3996,plain,
( para(sK0,sK2,sK1,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ midp(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3995]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_100]) ).
tcf(c_4171,plain,
! [X0: $i,X1: $i] :
( para(X0,sK9,X1,sK2)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_54,c_101]) ).
tcf(c_4201,plain,
! [X0: $i,X1: $i] :
( para(X0,sK9,X1,sK2)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_54,c_101]) ).
tcf(c_4343,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_58,c_3542]) ).
tcf(c_4349,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_4343,c_87]) ).
tcf(c_4350,plain,
coll(sK5,sK1,sK5),
inference(superposition,[status(thm)],[c_4343,c_89]) ).
tcf(c_4420,plain,
! [X0: $i,X1: $i] :
( coll(sK1,sK2,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4421,plain,
( coll(sK1,sK2,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_4420]) ).
tcf(c_4430,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,X1,sK2)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_4056,c_108]) ).
tcf(c_4436,plain,
( para(sK1,sK1,sK1,sK2)
| ~ midp(sK8,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_4430]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_4491,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_4490]) ).
tcf(c_4657,plain,
! [X0: $i] :
( cong(sK7,sK1,sK7,X0)
| ~ cong(sK7,sK1,sK7,sK0)
| ~ cong(sK7,sK0,sK7,X0) ),
inference(instantiation,[status(thm)],[c_2512]) ).
tcf(c_4659,plain,
( cong(sK7,sK1,sK7,sK1)
| ~ cong(sK7,sK1,sK7,sK0)
| ~ cong(sK7,sK0,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_4657]) ).
tcf(c_4706,plain,
! [X0: $i] :
( cong(sK8,sK1,sK8,X0)
| ~ cong(sK8,sK1,sK8,sK2)
| ~ cong(sK8,sK2,sK8,X0) ),
inference(instantiation,[status(thm)],[c_2525]) ).
tcf(c_4708,plain,
( cong(sK8,sK1,sK8,sK1)
| ~ cong(sK8,sK1,sK8,sK2)
| ~ cong(sK8,sK2,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_4706]) ).
tcf(c_4744,plain,
coll(sK1,sK5,sK5),
inference(superposition,[status(thm)],[c_4350,c_88]) ).
tcf(c_4828,plain,
( para(sK5,sK6,sK5,sK6)
| ~ perp(sK3,sK5,sK5,sK6)
| ~ perp(sK5,sK6,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_2590]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i] :
( para(X1,sK2,X0,sK9)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_4201,c_107]) ).
tcf(c_5003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X0,sK0)
| ~ perp(X2,X3,X0,sK0)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_5027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK1,sK2,X2,X3)
| ~ para(sK1,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_5028,plain,
( perp(sK1,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK1,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5027]) ).
tcf(c_5031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK2,X2,X3)
| ~ para(sK0,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_5032,plain,
( perp(sK0,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK0,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5031]) ).
tcf(c_5120,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK6,sK0,sK2)
| ~ perp(sK5,sK6,X0,X1)
| ~ perp(X0,X1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_5121,plain,
( para(sK5,sK6,sK0,sK2)
| ~ perp(sK1,sK1,sK0,sK2)
| ~ perp(sK5,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5120]) ).
tcf(c_5384,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK7,X0,sK1,X2)
| ~ midp(sK7,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_5385,plain,
( para(sK7,sK1,sK1,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ midp(sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5384]) ).
tcf(c_5484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,X3,sK2,X2)
| ~ para(sK0,X3,X0,X1)
| ~ para(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_5485,plain,
( para(sK0,sK1,sK2,sK1)
| ~ para(sK1,sK1,sK2,sK1)
| ~ para(sK0,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5484]) ).
tcf(c_5526,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK6,X0,X1)
| ~ cong(sK5,X1,sK6,X1)
| ~ cong(sK5,X0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_5527,plain,
( perp(sK5,sK6,sK1,sK1)
| ~ cong(sK5,sK1,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_5526]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,sK0,X2,X1)
| ~ midp(X0,sK2,X2)
| ~ midp(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_5681,plain,
( para(sK2,sK0,sK1,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ midp(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5680]) ).
tcf(c_6140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK9,X1,X2)
| ~ midp(X3,sK0,X0)
| ~ perp(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_4171,c_104]) ).
tcf(c_6174,plain,
( perp(sK1,sK9,sK1,sK1)
| ~ midp(sK1,sK0,sK1)
| ~ perp(sK1,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6140]) ).
tcf(c_6304,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK5,X0,X1)
| ~ perp(sK5,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_105]) ).
tcf(c_6308,plain,
! [X0: $i,X1: $i] :
( para(sK9,sK3,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_3099,c_105]) ).
tcf(c_6423,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK5,X0,X1)
| ~ perp(sK5,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_105]) ).
tcf(c_6691,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK2)
| ~ perp(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_6692,plain,
( perp(sK1,sK1,sK0,sK2)
| ~ perp(sK0,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6691]) ).
tcf(c_7226,plain,
( cong(sK5,sK5,sK5,sK1)
| ~ midp(sK5,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_7314,plain,
para(sK3,sK5,sK3,sK5),
inference(superposition,[status(thm)],[c_3100,c_6304]) ).
tcf(c_7321,plain,
para(sK3,sK5,sK5,sK3),
inference(superposition,[status(thm)],[c_3279,c_6423]) ).
tcf(c_8558,plain,
coll(sK3,sK5,sK5),
inference(superposition,[status(thm)],[c_7314,c_84]) ).
tcf(c_8711,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK1,sK2)
| ~ coll(sK1,sK1,sK2)
| ~ midp(X0,sK1,X1)
| ~ para(X0,sK1,X1,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_8712,plain,
( midp(sK1,sK1,sK2)
| ~ coll(sK1,sK1,sK2)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_8711]) ).
tcf(c_8849,plain,
coll(sK5,sK3,sK5),
inference(superposition,[status(thm)],[c_8558,c_88]) ).
tcf(c_8965,plain,
para(sK5,sK3,sK3,sK5),
inference(superposition,[status(thm)],[c_7321,c_107]) ).
tcf(c_9517,plain,
coll(sK5,sK5,sK3),
inference(superposition,[status(thm)],[c_8849,c_89]) ).
tcf(c_9875,plain,
! [X0: $i] :
( circle(sK5,sK5,X0,sK1)
| ~ cong(sK5,sK5,sK5,sK1)
| ~ cong(sK5,sK5,sK5,X0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_9876,plain,
( circle(sK5,sK5,sK1,sK1)
| ~ cong(sK5,sK5,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_9875]) ).
tcf(c_10979,plain,
coll(sK1,sK3,sK5),
inference(superposition,[status(thm)],[c_9517,c_4349]) ).
tcf(c_11077,plain,
! [X0: $i] :
( midp(sK5,X0,sK5)
| ~ coll(sK5,X0,sK5)
| ~ midp(sK3,X0,sK3) ),
inference(superposition,[status(thm)],[c_7314,c_86]) ).
tcf(c_11145,plain,
( midp(sK5,sK1,sK5)
| ~ coll(sK5,sK1,sK5)
| ~ midp(sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_11077]) ).
tcf(c_14511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK2,sK0,X2,X3)
| ~ para(sK2,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_14512,plain,
( perp(sK2,sK0,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK2,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_14511]) ).
tcf(c_15389,plain,
coll(sK3,sK1,sK5),
inference(superposition,[status(thm)],[c_10979,c_88]) ).
tcf(c_18170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK9)
| ~ midp(X3,sK0,X2)
| ~ para(X0,X1,X2,sK2) ),
inference(superposition,[status(thm)],[c_4874,c_106]) ).
tcf(c_18198,plain,
( para(sK1,sK1,sK1,sK9)
| ~ midp(sK1,sK0,sK1)
| ~ para(sK1,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_18170]) ).
tcf(c_19939,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK0)
| ~ perp(sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_19940,plain,
( perp(sK1,sK1,sK2,sK0)
| ~ perp(sK2,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_19939]) ).
tcf(c_20942,plain,
para(sK5,sK3,sK5,sK3),
inference(superposition,[status(thm)],[c_8965,c_108]) ).
tcf(c_22504,plain,
coll(sK3,sK5,sK1),
inference(superposition,[status(thm)],[c_15389,c_89]) ).
tcf(c_23532,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK5,sK1,sK5)
| ~ midp(sK5,X0,X1)
| ~ perp(X0,sK1,sK1,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_23533,plain,
( cong(sK1,sK5,sK1,sK5)
| ~ midp(sK5,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_23532]) ).
tcf(c_25644,plain,
para(sK9,sK3,sK9,sK3),
inference(superposition,[status(thm)],[c_55,c_6308]) ).
tcf(c_25654,plain,
! [X0: $i] :
( midp(sK3,X0,sK3)
| ~ coll(sK3,X0,sK3)
| ~ midp(sK9,X0,sK9) ),
inference(superposition,[status(thm)],[c_25644,c_86]) ).
tcf(c_25666,plain,
( midp(sK3,sK1,sK3)
| ~ coll(sK3,sK1,sK3)
| ~ midp(sK9,sK1,sK9) ),
inference(instantiation,[status(thm)],[c_25654]) ).
tcf(c_32838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK9,X2,X3)
| ~ perp(X4,sK9,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_32841,plain,
( para(sK1,sK9,sK1,sK1)
| ~ perp(sK1,sK9,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_32838]) ).
tcf(c_35012,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X0,X1)
| ~ coll(sK5,X0,X1)
| ~ cong(sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_35013,plain,
( midp(sK5,sK1,sK1)
| ~ coll(sK5,sK1,sK1)
| ~ cong(sK5,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_35012]) ).
tcf(c_42560,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK9,X1,sK9)
| ~ midp(sK9,X0,X2)
| ~ para(X0,sK9,X2,X1)
| ~ para(X0,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_42561,plain,
( midp(sK9,sK1,sK9)
| ~ midp(sK9,sK1,sK1)
| ~ para(sK1,sK9,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK9) ),
inference(instantiation,[status(thm)],[c_42560]) ).
tcf(c_50234,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK0,sK2,sK0)
| ~ perp(X0,X1,sK2,sK0)
| ~ para(sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_5003]) ).
tcf(c_50242,plain,
( perp(sK2,sK0,sK2,sK0)
| ~ perp(sK1,sK1,sK2,sK0)
| ~ para(sK2,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_50234]) ).
tcf(c_55121,plain,
coll(sK5,sK3,sK3),
inference(superposition,[status(thm)],[c_20942,c_84]) ).
tcf(c_55378,plain,
coll(sK3,sK5,sK3),
inference(superposition,[status(thm)],[c_55121,c_88]) ).
tcf(c_55452,plain,
! [X0: $i] :
( coll(sK3,X0,sK3)
| ~ coll(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_55378,c_87]) ).
tcf(c_55457,plain,
( coll(sK3,sK1,sK3)
| ~ coll(sK3,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_55452]) ).
tcf(c_65250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK5,sK6,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK5,sK6,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_65256,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK6,X1,X0)
| ~ perp(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_65549,plain,
! [X0: $i,X1: $i] :
( cong(sK5,X1,sK6,X1)
| ~ midp(X1,sK5,X0)
| ~ perp(sK5,sK6,sK6,X0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_65554,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK5,X1)
| ~ coll(X0,sK5,X1)
| ~ cong(X0,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_65568,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X1,X0)
| ~ midp(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_65604,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK2,sK0,X0,X1,sK2,sK0)
| ~ para(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_65811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK5,sK6,X2,X3,X0,X1,X4,X5)
| ~ eqangle(sK5,sK6,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_66709,plain,
( eqangle(sK5,sK6,sK2,sK0,sK5,sK6,sK2,sK0)
| ~ para(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_65604]) ).
tcf(c_67063,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK5,X1,sK5,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK5,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_67064,plain,
( cong(sK5,sK1,sK5,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ perp(sK5,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_67063]) ).
tcf(c_69898,plain,
( eqangle(sK5,sK6,sK5,sK6,sK2,sK0,sK2,sK0)
| ~ eqangle(sK5,sK6,sK2,sK0,sK5,sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_65811]) ).
tcf(c_70009,plain,
! [X0: $i] :
( cong(sK5,X0,sK6,X0)
| ~ midp(X0,sK5,sK5)
| ~ perp(sK5,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_65549]) ).
tcf(c_70011,plain,
( cong(sK5,sK1,sK6,sK1)
| ~ midp(sK1,sK5,sK5)
| ~ perp(sK5,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_70009]) ).
tcf(c_77601,plain,
( perp(sK5,sK6,sK5,sK6)
| ~ perp(sK2,sK0,sK2,sK0)
| ~ eqangle(sK5,sK6,sK5,sK6,sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_65250]) ).
tcf(c_82325,plain,
( perp(sK5,sK6,sK6,sK5)
| ~ perp(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_65256]) ).
tcf(c_93785,plain,
! [X0: $i] :
( midp(sK5,sK5,X0)
| ~ midp(sK5,X0,sK5) ),
inference(instantiation,[status(thm)],[c_65568]) ).
tcf(c_93788,plain,
( midp(sK5,sK5,sK1)
| ~ midp(sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_93785]) ).
tcf(c_94845,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ coll(X0,sK5,sK5)
| ~ cong(X0,sK5,X0,sK5) ),
inference(instantiation,[status(thm)],[c_65554]) ).
tcf(c_94846,plain,
( midp(sK1,sK5,sK5)
| ~ coll(sK1,sK5,sK5)
| ~ cong(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_94845]) ).
tcf(c_94847,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_94846,c_93788,c_82325,c_77601,c_70011,c_69898,c_67064,c_66709,c_55457,c_50242,c_42561,c_35013,c_32841,c_25666,c_23533,c_22504,c_19940,c_18198,c_14512,c_11145,c_9876,c_8712,c_7226,c_6692,c_6174,c_5681,c_5527,c_5485,c_5385,c_5121,c_5032,c_5028,c_4828,c_4744,c_4708,c_4659,c_4491,c_4436,c_4421,c_3996,c_3916,c_3914,c_3639,c_3638,c_3636,c_3635,c_3481,c_3342,c_3331,c_3245,c_3057,c_3054,c_2991,c_2940,c_2938,c_2936,c_2907,c_2720,c_2685,c_2449,c_2426,c_2419,c_2416,c_2399,c_2160,c_2087,c_2081,c_2073,c_2068,c_2067,c_2065,c_2064,c_2063,c_200,c_166,c_161,c_158,c_156,c_151,c_49,c_60,c_50,c_52,c_54,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO655+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 12:43:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 36.04/5.84 % SZS status Started for theBenchmark.p
% 36.04/5.84 % SZS status Theorem for theBenchmark.p
% 36.04/5.84
% 36.04/5.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 36.04/5.84
% 36.04/5.84 % ------ iProver source info
% 36.04/5.84
% 36.04/5.84 % git: date: 2026-07-19 20:42:38 +0200
% 36.04/5.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 36.04/5.84 % git: non_committed_changes: false
% 36.04/5.84
% 36.04/5.84 % ------ Parsing...
% 36.04/5.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 36.04/5.84
% 36.04/5.84 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 36.04/5.84
% 36.04/5.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 36.04/5.84 % ------ Proving...
% 36.04/5.84 % ------ Problem Properties
% 36.04/5.84
% 36.04/5.84 %
% 36.04/5.84 % clauses 99
% 36.04/5.84 % conjectures 12
% 36.04/5.84 % EPR 66
% 36.04/5.84 % Horn 94
% 36.04/5.84 % unary 12
% 36.04/5.84 % binary 24
% 36.04/5.84 % lits 268
% 36.04/5.84 % lits eq 0
% 36.04/5.84 % fd_pure 0
% 36.04/5.84 % fd_pseudo 0
% 36.04/5.85 % fd_cond 0
% 36.04/5.85 % fd_pseudo_cond 0
% 36.04/5.85 % AC symbols 0
% 36.04/5.85
% 36.04/5.85 % ------ Schedule dynamic 5 is on
% 36.04/5.85
% 36.04/5.85 % ------ no equalities: superposition off
% 36.04/5.85
% 36.04/5.85 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.04/5.85
% 36.04/5.85
% 36.04/5.85 % ------
% 36.04/5.85 % Current options:
% 36.04/5.85 % ------
% 36.04/5.85
% 36.04/5.85
% 36.04/5.85 %
% 36.04/5.85
% 36.04/5.85 % ------ Proving...
% 36.04/5.85 %
% 36.04/5.85
% 36.04/5.85 % SZS status Theorem for theBenchmark.p
% 36.04/5.85
% 36.04/5.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.04/5.85
% 36.04/5.85
%------------------------------------------------------------------------------