%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO583+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 : n010.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 01:21:32 PM UTC 2026
% Result : Theorem 86.98s 12.91s
% Output : CNFRefutation 86.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 35
% Syntax : Number of formulae : 418 ( 57 unt; 0 def)
% Number of atoms : 1024 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1115 ( 509 ~; 503 |; 67 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 961 ( 0 sgn 939 !; 22 ?; 363 :)
% 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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(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(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X6,X8,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416045) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X6,X8,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X8,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X9,X1,X2)
& coll(X9,X0,X4)
& cong(X3,X7,X3,X8)
& coll(X3,X7,X8)
& midp(X7,X6,X5)
& midp(X6,X0,X4)
& midp(X5,X2,X1)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X8,X1,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] :
( ~ 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(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f165,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(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f182]) ).
fof(f184,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(f185,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f184]) ).
fof(f188,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(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f190,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(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK9,sK1,sK2)
& coll(sK9,sK0,sK4)
& cong(sK3,sK7,sK3,sK8)
& coll(sK3,sK7,sK8)
& midp(sK7,sK6,sK5)
& midp(sK6,sK0,sK4)
& midp(sK5,sK2,sK1)
& circle(sK3,sK0,sK4,sK10)
& circle(sK3,sK0,sK1,sK2)
& ~ perp(sK6,sK8,sK1,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,
coll(sK9,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK9,sK0,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
cong(sK3,sK7,sK3,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK3,sK7,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
midp(sK7,sK6,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
midp(sK5,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
~ perp(sK6,sK8,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f274,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(f275,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f285,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(f286,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f288,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(f289,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(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f291,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,[],[f156]) ).
fof(f296,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,[],[f158]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f301,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,[],[f166]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f181]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f188]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f316,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,[],[f191]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f328,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] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ perp(sK6,sK8,sK1,sK2),
inference(cnf_transformation,[],[f248]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f247]) ).
tcf(c_52,negated_conjecture,
midp(sK5,sK2,sK1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_54,negated_conjecture,
midp(sK7,sK6,sK5),
inference(cnf_transformation,[],[f243]) ).
tcf(c_55,negated_conjecture,
coll(sK3,sK7,sK8),
inference(cnf_transformation,[],[f242]) ).
tcf(c_56,negated_conjecture,
cong(sK3,sK7,sK3,sK8),
inference(cnf_transformation,[],[f241]) ).
tcf(c_57,negated_conjecture,
coll(sK9,sK0,sK4),
inference(cnf_transformation,[],[f240]) ).
tcf(c_58,negated_conjecture,
coll(sK9,sK1,sK2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_84,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,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f291]) ).
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_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,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,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_141,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,[],[f331]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_150,plain,
( eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3)
| ~ cyclic(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_156,plain,
( midp(sK3,sK3,sK3)
| ~ coll(sK3,sK3,sK3)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_158,plain,
( circle(sK3,sK3,sK3,sK3)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_160,plain,
( perp(sK3,sK3,sK3,sK3)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_198,plain,
( cong(sK3,sK3,sK3,sK3)
| ~ cyclic(sK3,sK3,sK3,sK3)
| ~ eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_777,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(resolution,[status(thm)],[c_50,c_117]) ).
tcf(c_2159,plain,
( coll(sK5,sK2,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_2162,plain,
( coll(sK7,sK3,sK8)
| ~ coll(sK3,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2168,plain,
( midp(sK5,sK1,sK2)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2174,plain,
( cong(sK3,sK8,sK3,sK7)
| ~ cong(sK3,sK7,sK3,sK8) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_2176,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK7,sK8)
| ~ coll(sK3,sK7,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2177,plain,
( coll(sK8,sK3,sK3)
| ~ coll(sK3,sK7,sK3)
| ~ coll(sK3,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_2176]) ).
tcf(c_2182,plain,
( midp(sK3,sK7,sK8)
| ~ coll(sK3,sK7,sK8)
| ~ cong(sK3,sK7,sK3,sK8) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK5,sK2,sK1)
| ~ midp(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2191,plain,
! [X0: $i,X1: $i] :
( para(X0,sK5,X1,sK1)
| ~ midp(sK5,sK2,sK1)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2195,plain,
! [X0: $i,X1: $i] :
( para(X0,sK7,X1,sK5)
| ~ midp(sK7,sK6,sK5)
| ~ midp(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i] :
( cong(sK3,sK7,X0,X1)
| ~ cong(sK3,sK7,sK3,sK8)
| ~ cong(sK3,sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2343,plain,
( coll(sK5,sK1,sK2)
| ~ coll(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2398,plain,
( coll(sK7,sK8,sK3)
| ~ coll(sK7,sK3,sK8) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2512,plain,
( cong(sK5,sK1,sK5,sK2)
| ~ midp(sK5,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2648,plain,
( cong(sK3,sK8,sK7,sK3)
| ~ cong(sK3,sK8,sK3,sK7) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2681,plain,
! [X0: $i] :
( cong(sK7,sK3,X0,sK3)
| ~ midp(sK3,sK7,sK8)
| ~ perp(sK7,X0,X0,sK8) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2682,plain,
( cong(sK7,sK3,sK3,sK3)
| ~ midp(sK3,sK7,sK8)
| ~ perp(sK7,sK3,sK3,sK8) ),
inference(instantiation,[status(thm)],[c_2681]) ).
tcf(c_2762,plain,
( para(sK2,sK2,sK1,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2185]) ).
tcf(c_2768,plain,
( para(sK5,sK5,sK1,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2191]) ).
tcf(c_2770,plain,
( para(sK7,sK7,sK5,sK5)
| ~ midp(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2843,plain,
coll(sK7,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_80]) ).
tcf(c_2846,plain,
coll(sK5,sK2,sK1),
inference(superposition,[status(thm)],[c_52,c_80]) ).
tcf(c_2867,plain,
coll(sK7,sK3,sK8),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_2895,plain,
coll(sK3,sK8,sK7),
inference(superposition,[status(thm)],[c_55,c_87]) ).
tcf(c_2896,plain,
coll(sK9,sK4,sK0),
inference(superposition,[status(thm)],[c_57,c_87]) ).
tcf(c_2952,plain,
coll(sK5,sK1,sK2),
inference(superposition,[status(thm)],[c_2846,c_87]) ).
tcf(c_2997,plain,
coll(sK7,sK5,sK6),
inference(superposition,[status(thm)],[c_2843,c_87]) ).
tcf(c_3001,plain,
coll(sK7,sK8,sK3),
inference(superposition,[status(thm)],[c_2867,c_87]) ).
tcf(c_3010,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK2,X0,X1)
| ~ para(sK2,sK2,sK1,sK1)
| ~ para(sK1,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_3015,plain,
( para(sK2,sK2,sK3,sK3)
| ~ para(sK2,sK2,sK1,sK1)
| ~ para(sK1,sK1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_3010]) ).
tcf(c_3055,plain,
( para(sK1,sK1,sK5,sK5)
| ~ para(sK5,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_3081,plain,
( para(sK5,sK5,sK7,sK7)
| ~ para(sK7,sK7,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_3227,plain,
coll(sK5,sK7,sK6),
inference(superposition,[status(thm)],[c_2997,c_86]) ).
tcf(c_3333,plain,
cong(sK3,sK8,sK3,sK7),
inference(superposition,[status(thm)],[c_56,c_112]) ).
tcf(c_3350,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_105,c_113]) ).
tcf(c_3428,plain,
cong(sK3,sK8,sK7,sK3),
inference(superposition,[status(thm)],[c_3333,c_113]) ).
tcf(c_3437,plain,
cong(sK7,sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_3428,c_112]) ).
tcf(c_3499,plain,
cong(sK7,sK3,sK8,sK3),
inference(superposition,[status(thm)],[c_3437,c_113]) ).
tcf(c_3708,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK7,X0) ),
inference(superposition,[status(thm)],[c_55,c_85]) ).
tcf(c_3709,plain,
! [X0: $i] :
( coll(sK4,X0,sK9)
| ~ coll(sK9,sK0,X0) ),
inference(superposition,[status(thm)],[c_57,c_85]) ).
tcf(c_3710,plain,
! [X0: $i] :
( coll(sK2,X0,sK9)
| ~ coll(sK9,sK1,X0) ),
inference(superposition,[status(thm)],[c_58,c_85]) ).
tcf(c_3717,plain,
! [X0: $i] :
( coll(sK7,X0,sK3)
| ~ coll(sK3,sK8,X0) ),
inference(superposition,[status(thm)],[c_2895,c_85]) ).
tcf(c_3718,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK4,X0) ),
inference(superposition,[status(thm)],[c_2896,c_85]) ).
tcf(c_3726,plain,
! [X0: $i] :
( coll(sK3,X0,sK7)
| ~ coll(sK7,sK8,X0) ),
inference(superposition,[status(thm)],[c_3001,c_85]) ).
tcf(c_3736,plain,
! [X0: $i] :
( coll(sK6,X0,sK5)
| ~ coll(sK5,sK7,X0) ),
inference(superposition,[status(thm)],[c_3227,c_85]) ).
tcf(c_3823,plain,
( coll(sK6,sK3,sK5)
| ~ coll(sK5,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_3736]) ).
tcf(c_3832,plain,
( coll(sK3,sK3,sK7)
| ~ coll(sK7,sK8,sK3) ),
inference(instantiation,[status(thm)],[c_3726]) ).
tcf(c_3841,plain,
( coll(sK7,sK3,sK3)
| ~ coll(sK3,sK8,sK3) ),
inference(instantiation,[status(thm)],[c_3717]) ).
tcf(c_3858,plain,
! [X0: $i] :
( coll(sK2,X0,sK9)
| ~ coll(sK9,sK1,X0) ),
inference(superposition,[status(thm)],[c_58,c_85]) ).
tcf(c_3868,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK1,X0) ),
inference(superposition,[status(thm)],[c_2952,c_85]) ).
tcf(c_4217,plain,
coll(sK8,sK8,sK3),
inference(superposition,[status(thm)],[c_55,c_3708]) ).
tcf(c_4357,plain,
! [X0: $i,X1: $i] :
( para(sK6,X0,sK5,X1)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_107]) ).
tcf(c_4544,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK8,X0) ),
inference(superposition,[status(thm)],[c_4217,c_85]) ).
tcf(c_4622,plain,
( midp(sK7,sK8,sK3)
| ~ coll(sK7,sK8,sK3)
| ~ cong(sK7,sK8,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4662,plain,
coll(sK4,sK4,sK9),
inference(superposition,[status(thm)],[c_57,c_3709]) ).
tcf(c_4668,plain,
! [X0: $i] :
( coll(sK9,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4662,c_85]) ).
tcf(c_4702,plain,
coll(sK2,sK2,sK9),
inference(superposition,[status(thm)],[c_58,c_3710]) ).
tcf(c_4707,plain,
coll(sK2,sK2,sK9),
inference(superposition,[status(thm)],[c_58,c_3858]) ).
tcf(c_4747,plain,
! [X0: $i] :
( coll(sK9,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4702,c_85]) ).
tcf(c_4753,plain,
! [X0: $i] :
( coll(sK9,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4707,c_85]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i] :
( para(sK5,X1,sK6,X0)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_4357,c_127]) ).
tcf(c_5027,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_141,c_125]) ).
tcf(c_5030,plain,
( para(sK3,sK3,sK3,sK3)
| ~ cyclic(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_5027]) ).
tcf(c_5184,plain,
! [X0: $i,X1: $i] :
( cong(sK3,sK8,X0,X1)
| ~ cong(sK3,sK8,sK7,sK3)
| ~ cong(sK7,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_5187,plain,
( cong(sK3,sK8,sK3,sK3)
| ~ cong(sK7,sK3,sK3,sK3)
| ~ cong(sK3,sK8,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_5184]) ).
tcf(c_5188,plain,
( cong(sK3,sK7,sK7,sK3)
| ~ cong(sK3,sK7,sK3,sK8)
| ~ cong(sK3,sK8,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_2218]) ).
tcf(c_5577,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X0,X2,X1)
| ~ midp(X0,X2,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_95]) ).
tcf(c_5579,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X0,X1)
| ~ midp(X0,X0,X2)
| ~ cong(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_3350,c_95]) ).
tcf(c_5581,plain,
! [X0: $i] :
( perp(sK7,sK8,sK3,X0)
| ~ cong(sK7,X0,sK8,X0) ),
inference(superposition,[status(thm)],[c_3499,c_95]) ).
tcf(c_5612,plain,
( perp(sK7,sK8,sK3,sK3)
| ~ cong(sK7,sK3,sK8,sK3) ),
inference(instantiation,[status(thm)],[c_5581]) ).
tcf(c_5952,plain,
! [X0: $i] :
( coll(sK3,sK8,X0)
| ~ coll(sK8,sK3,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_5953,plain,
( coll(sK3,sK8,sK3)
| ~ coll(sK8,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_5952]) ).
tcf(c_5991,plain,
! [X0: $i] :
( coll(sK3,sK7,X0)
| ~ coll(sK3,X0,sK7) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_5992,plain,
( coll(sK3,sK7,sK3)
| ~ coll(sK3,sK3,sK7) ),
inference(instantiation,[status(thm)],[c_5991]) ).
tcf(c_6095,plain,
! [X0: $i] :
( coll(sK0,sK9,X0)
| ~ coll(sK0,X0,sK9) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_6096,plain,
( coll(sK0,sK9,sK3)
| ~ coll(sK0,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_6095]) ).
tcf(c_6360,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK3,sK8)
| ~ cong(X0,X1,sK3,sK7) ),
inference(superposition,[status(thm)],[c_56,c_111]) ).
tcf(c_6362,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK3,sK7)
| ~ cong(X0,X1,sK3,sK8) ),
inference(superposition,[status(thm)],[c_3333,c_111]) ).
tcf(c_6816,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK7,X0)
| ~ coll(X0,X1,sK7)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6866,plain,
cong(sK3,sK8,sK3,sK8),
inference(superposition,[status(thm)],[c_3333,c_6360]) ).
tcf(c_6943,plain,
! [X0: $i,X1: $i] :
( midp(sK7,X0,X1)
| ~ coll(sK7,X0,X1)
| ~ cong(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_6944,plain,
( midp(sK7,sK3,sK3)
| ~ coll(sK7,sK3,sK3)
| ~ cong(sK7,sK3,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_6943]) ).
tcf(c_7542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,X3)
| ~ midp(sK7,X2,X3)
| ~ para(X0,X1,sK6,X2) ),
inference(superposition,[status(thm)],[c_4357,c_126]) ).
tcf(c_8306,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_4217,c_4544]) ).
tcf(c_8338,plain,
coll(sK3,sK8,sK3),
inference(superposition,[status(thm)],[c_8306,c_87]) ).
tcf(c_8381,plain,
coll(sK9,sK9,sK4),
inference(superposition,[status(thm)],[c_4662,c_4668]) ).
tcf(c_8438,plain,
coll(sK9,sK4,sK9),
inference(superposition,[status(thm)],[c_8381,c_87]) ).
tcf(c_8463,plain,
coll(sK9,sK9,sK2),
inference(superposition,[status(thm)],[c_4702,c_4747]) ).
tcf(c_8517,plain,
! [X0: $i] :
( perp(sK3,sK3,X0,sK8)
| ~ midp(sK3,X0,X0) ),
inference(superposition,[status(thm)],[c_6866,c_5577]) ).
tcf(c_8529,plain,
( perp(sK3,sK3,sK3,sK8)
| ~ midp(sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_8517]) ).
tcf(c_9055,plain,
coll(sK9,sK2,sK9),
inference(superposition,[status(thm)],[c_8463,c_87]) ).
tcf(c_9292,plain,
( perp(sK3,sK3,sK3,sK8)
| ~ midp(sK3,sK3,sK3) ),
inference(superposition,[status(thm)],[c_6866,c_5579]) ).
tcf(c_11374,plain,
! [X0: $i] :
( coll(sK3,X0,sK3)
| ~ coll(sK3,sK8,X0) ),
inference(superposition,[status(thm)],[c_8338,c_85]) ).
tcf(c_11380,plain,
( coll(sK3,sK3,sK3)
| ~ coll(sK3,sK8,sK3) ),
inference(instantiation,[status(thm)],[c_11374]) ).
tcf(c_11452,plain,
coll(sK0,sK9,sK9),
inference(superposition,[status(thm)],[c_8438,c_3718]) ).
tcf(c_11507,plain,
coll(sK2,sK9,sK9),
inference(superposition,[status(thm)],[c_9055,c_86]) ).
tcf(c_12474,plain,
! [X0: $i,X1: $i] :
( cong(sK3,sK7,X0,X1)
| ~ cong(sK3,sK7,sK7,sK3)
| ~ cong(sK7,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_12475,plain,
( cong(sK3,sK7,sK3,sK3)
| ~ cong(sK7,sK3,sK3,sK3)
| ~ cong(sK3,sK7,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_12474]) ).
tcf(c_13439,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK1,X0,X1)
| ~ para(sK1,sK1,sK5,sK5)
| ~ para(sK5,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_13440,plain,
( para(sK1,sK1,sK3,sK3)
| ~ para(sK5,sK5,sK3,sK3)
| ~ para(sK1,sK1,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_13439]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK5,X0,X1)
| ~ para(sK5,sK5,sK7,sK7)
| ~ para(sK7,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_13444,plain,
( para(sK5,sK5,sK3,sK3)
| ~ para(sK7,sK7,sK3,sK3)
| ~ para(sK5,sK5,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_13443]) ).
tcf(c_15434,plain,
! [X0: $i] :
( coll(sK9,X0,sK0)
| ~ coll(sK0,sK9,X0) ),
inference(superposition,[status(thm)],[c_11452,c_85]) ).
tcf(c_15436,plain,
coll(sK9,sK0,sK9),
inference(superposition,[status(thm)],[c_11452,c_86]) ).
tcf(c_15440,plain,
( coll(sK9,sK3,sK0)
| ~ coll(sK0,sK9,sK3) ),
inference(instantiation,[status(thm)],[c_15434]) ).
tcf(c_15447,plain,
! [X0: $i] :
( coll(sK9,X0,sK2)
| ~ coll(sK2,sK9,X0) ),
inference(superposition,[status(thm)],[c_11507,c_85]) ).
tcf(c_15452,plain,
( coll(sK9,sK3,sK2)
| ~ coll(sK2,sK9,sK3) ),
inference(instantiation,[status(thm)],[c_15447]) ).
tcf(c_15536,plain,
cong(sK3,sK7,sK3,sK7),
inference(superposition,[status(thm)],[c_56,c_6362]) ).
tcf(c_15788,plain,
! [X0: $i] :
( circle(sK3,sK7,sK7,X0)
| ~ cong(sK3,sK7,sK3,X0) ),
inference(superposition,[status(thm)],[c_15536,c_122]) ).
tcf(c_16769,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK7,X1)
| ~ coll(X0,sK7,X1)
| ~ cong(X0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_16770,plain,
( midp(sK3,sK7,sK3)
| ~ coll(sK3,sK7,sK3)
| ~ cong(sK3,sK7,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_16769]) ).
tcf(c_16779,plain,
! [X0: $i] :
( midp(sK3,sK8,X0)
| ~ coll(sK3,sK8,X0)
| ~ cong(sK3,sK8,sK3,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_16780,plain,
( midp(sK3,sK8,sK3)
| ~ coll(sK3,sK8,sK3)
| ~ cong(sK3,sK8,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_16779]) ).
tcf(c_17310,plain,
circle(sK3,sK7,sK7,sK8),
inference(superposition,[status(thm)],[c_56,c_15788]) ).
tcf(c_17411,plain,
( perp(sK7,sK7,sK7,sK8)
| ~ coll(sK3,sK7,sK8) ),
inference(superposition,[status(thm)],[c_17310,c_117]) ).
tcf(c_17412,plain,
perp(sK7,sK7,sK7,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_17411,c_55]) ).
tcf(c_17441,plain,
! [X0: $i] :
( cong(sK7,X0,sK7,X0)
| ~ midp(X0,sK7,sK8) ),
inference(superposition,[status(thm)],[c_17412,c_97]) ).
tcf(c_17442,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK7,X0,X1)
| ~ perp(sK7,sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_17412,c_99]) ).
tcf(c_17461,plain,
( cong(sK7,sK3,sK7,sK3)
| ~ midp(sK3,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_17441]) ).
tcf(c_17463,plain,
( para(sK7,sK7,sK3,sK3)
| ~ perp(sK7,sK8,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_17442]) ).
tcf(c_18434,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK9)
| ~ cong(X0,sK9,X1,sK9)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_18435,plain,
( perp(sK3,sK3,sK3,sK9)
| ~ cong(sK3,sK9,sK3,sK9)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_18652,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,sK1,sK2)
| ~ para(sK6,sK8,X0,X1)
| ~ perp(X0,X1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_18653,plain,
( perp(sK6,sK8,sK1,sK2)
| ~ para(sK6,sK8,sK3,sK3)
| ~ perp(sK3,sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_18652]) ).
tcf(c_19735,plain,
! [X0: $i,X1: $i] :
( circle(sK7,X0,X0,X1)
| ~ midp(X0,sK7,sK8)
| ~ cong(sK7,X0,sK7,X1) ),
inference(superposition,[status(thm)],[c_17441,c_122]) ).
tcf(c_19783,plain,
( circle(sK7,sK3,sK3,sK3)
| ~ midp(sK3,sK7,sK8)
| ~ cong(sK7,sK3,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_19735]) ).
tcf(c_20356,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X0,X1,X2)
| ~ midp(X0,sK7,sK8)
| ~ cong(sK7,X0,sK7,X2)
| ~ cong(sK7,X0,sK7,X1) ),
inference(superposition,[status(thm)],[c_17441,c_146]) ).
tcf(c_20439,plain,
( cyclic(sK3,sK3,sK3,sK3)
| ~ midp(sK3,sK7,sK8)
| ~ cong(sK7,sK3,sK7,sK3) ),
inference(instantiation,[status(thm)],[c_20356]) ).
tcf(c_21034,plain,
coll(sK9,sK9,sK0),
inference(superposition,[status(thm)],[c_15436,c_87]) ).
tcf(c_21654,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK9,sK9)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK9,X1,sK9) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_21655,plain,
( midp(sK3,sK9,sK9)
| ~ midp(sK3,sK3,sK3)
| ~ para(sK3,sK9,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_21654]) ).
tcf(c_21718,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK7,X0,X0,sK8)
| ~ circle(sK7,X0,X1,X2)
| ~ eqangle(X0,sK8,X0,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_21719,plain,
( perp(sK7,sK3,sK3,sK8)
| ~ circle(sK7,sK3,sK3,sK3)
| ~ eqangle(sK3,sK8,sK3,sK3,sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_21718]) ).
tcf(c_23456,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK9,X0) ),
inference(superposition,[status(thm)],[c_21034,c_85]) ).
tcf(c_23461,plain,
( coll(sK0,sK3,sK9)
| ~ coll(sK9,sK9,sK3) ),
inference(instantiation,[status(thm)],[c_23456]) ).
tcf(c_24870,plain,
perp(sK3,sK3,sK3,sK8),
inference(global_subsumption_just,[status(thm)],[c_9292,c_55,c_56,c_150,c_156,c_198,c_2162,c_2177,c_2182,c_2398,c_3832,c_5953,c_5992,c_8529,c_11380,c_17461,c_20439]) ).
tcf(c_25021,plain,
cong(sK3,sK7,sK8,sK3),
inference(superposition,[status(thm)],[c_56,c_113]) ).
tcf(c_25036,plain,
cong(sK8,sK3,sK3,sK7),
inference(superposition,[status(thm)],[c_25021,c_112]) ).
tcf(c_25872,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK3,sK8)
| ~ cong(X0,X1,sK3,sK7) ),
inference(superposition,[status(thm)],[c_56,c_111]) ).
tcf(c_25907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ midp(X0,X1,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_105,c_122]) ).
tcf(c_25958,plain,
! [X0: $i] :
( circle(sK3,sK7,X0,sK8)
| ~ midp(sK3,sK7,X0) ),
inference(superposition,[status(thm)],[c_56,c_25907]) ).
tcf(c_25992,plain,
! [X0: $i] :
( perp(sK7,X0,X0,sK8)
| ~ coll(sK3,sK7,sK8)
| ~ midp(sK3,sK7,X0) ),
inference(superposition,[status(thm)],[c_25958,c_117]) ).
tcf(c_25993,plain,
! [X0: $i] :
( perp(sK7,X0,X0,sK8)
| ~ midp(sK3,sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25992,c_55]) ).
tcf(c_26005,plain,
! [X0: $i] :
( perp(sK7,X0,sK8,X0)
| ~ midp(sK3,sK7,X0) ),
inference(superposition,[status(thm)],[c_25993,c_101]) ).
tcf(c_26034,plain,
cong(sK8,sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_25036,c_25872]) ).
tcf(c_26319,plain,
cong(sK8,sK3,sK8,sK3),
inference(superposition,[status(thm)],[c_26034,c_113]) ).
tcf(c_26474,plain,
( midp(sK8,sK3,sK3)
| ~ coll(sK8,sK3,sK3) ),
inference(superposition,[status(thm)],[c_26319,c_81]) ).
tcf(c_27920,plain,
! [X0: $i] :
( cong(sK7,sK8,sK7,X0)
| ~ midp(sK3,sK7,X0)
| ~ midp(X0,sK8,X0) ),
inference(superposition,[status(thm)],[c_26005,c_96]) ).
tcf(c_27938,plain,
( cong(sK7,sK8,sK7,sK3)
| ~ midp(sK3,sK7,sK3)
| ~ midp(sK3,sK8,sK3) ),
inference(instantiation,[status(thm)],[c_27920]) ).
tcf(c_28474,plain,
! [X0: $i,X1: $i] :
( eqangle(sK3,sK8,sK3,X0,X1,sK3,X1,X0)
| ~ circle(sK3,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_24870,c_121]) ).
tcf(c_28510,plain,
( eqangle(sK3,sK8,sK3,sK3,sK3,sK3,sK3,sK3)
| ~ circle(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_28474]) ).
tcf(c_32113,plain,
! [X0: $i,X1: $i] :
( coll(sK9,sK5,X0)
| ~ coll(X0,X1,sK9)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_32114,plain,
( coll(sK9,sK5,sK3)
| ~ coll(sK3,sK3,sK9)
| ~ coll(sK3,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_32113]) ).
tcf(c_32253,plain,
! [X0: $i,X1: $i] :
( coll(sK9,sK9,X0)
| ~ coll(X0,X1,sK9) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_32254,plain,
( coll(sK9,sK9,sK3)
| ~ coll(sK3,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_32253]) ).
tcf(c_38009,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK8)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_38010,plain,
( perp(sK3,sK3,sK6,sK8)
| ~ cong(sK3,sK8,sK3,sK8)
| ~ cong(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_38009]) ).
tcf(c_39065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK6,sK8,X2,X3)
| ~ perp(sK6,sK8,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_39068,plain,
( para(sK6,sK8,sK3,sK3)
| ~ perp(sK3,sK3,sK3,sK3)
| ~ perp(sK6,sK8,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_39065]) ).
tcf(c_39100,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,X1,sK5,X2)
| ~ midp(sK7,X0,X2)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_4834,c_7542]) ).
tcf(c_39172,plain,
( para(sK5,sK3,sK5,sK3)
| ~ midp(sK7,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_39100]) ).
tcf(c_42125,plain,
! [X0: $i,X1: $i] :
( coll(sK5,X0,X1)
| ~ para(sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_42128,plain,
( coll(sK5,sK3,sK3)
| ~ para(sK5,sK3,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_42125]) ).
tcf(c_42143,plain,
! [X0: $i,X1: $i] :
( coll(sK5,sK7,X0)
| ~ coll(X0,X1,sK7)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_6816]) ).
tcf(c_42145,plain,
( coll(sK5,sK7,sK3)
| ~ coll(sK3,sK3,sK7)
| ~ coll(sK3,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_42143]) ).
tcf(c_51124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK9,X3,sK9)
| ~ eqangle(X0,sK9,X1,X2,X3,sK9,X1,X2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_51125,plain,
( para(sK3,sK9,sK3,sK9)
| ~ eqangle(sK3,sK9,sK3,sK3,sK3,sK9,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_51124]) ).
tcf(c_51266,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK9)
| ~ para(X0,X1,X0,sK9) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_51269,plain,
( coll(sK3,sK3,sK9)
| ~ para(sK3,sK3,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_51266]) ).
tcf(c_51490,plain,
! [X0: $i] :
( cong(X0,sK9,X0,sK9)
| ~ midp(X0,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_51491,plain,
( cong(sK3,sK9,sK3,sK9)
| ~ midp(sK3,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_51490]) ).
tcf(c_53713,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK2)
| ~ para(sK2,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_53714,plain,
( para(sK3,sK3,sK2,sK2)
| ~ para(sK2,sK2,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_53713]) ).
tcf(c_54222,plain,
coll(sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_2952,c_3868]) ).
tcf(c_54235,plain,
coll(sK9,sK5,sK2),
inference(superposition,[status(thm)],[c_54222,c_4753]) ).
tcf(c_54351,plain,
! [X0: $i] :
( coll(sK2,X0,sK9)
| ~ coll(sK9,sK5,X0) ),
inference(superposition,[status(thm)],[c_54235,c_85]) ).
tcf(c_54356,plain,
( coll(sK2,sK3,sK9)
| ~ coll(sK9,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_54351]) ).
tcf(c_56804,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK5)
| ~ coll(sK5,X0,X2)
| ~ coll(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_56805,plain,
( coll(sK3,sK3,sK5)
| ~ coll(sK5,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_56804]) ).
tcf(c_58111,plain,
! [X0: $i,X1: $i] :
( perp(sK1,sK2,sK2,X1)
| ~ coll(X0,sK1,X1)
| ~ circle(X0,sK1,sK2,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_58201,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK2)
| ~ coll(sK2,X0,X2)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_59032,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,X0,X1)
| ~ perp(X0,X1,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_59033,plain,
( perp(sK6,sK8,sK3,sK3)
| ~ perp(sK3,sK3,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_59032]) ).
tcf(c_59411,plain,
! [X0: $i,X1: $i] :
( coll(sK2,X1,X0)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_59483,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,sK6,X2,X1)
| ~ midp(X0,sK8,X2)
| ~ midp(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_59682,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK6,X1,sK6)
| ~ cong(X0,sK6,sK6,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_59683,plain,
( cong(sK3,sK6,sK3,sK6)
| ~ cong(sK3,sK6,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_59682]) ).
tcf(c_60037,plain,
! [X0: $i,X1: $i,X2: $i] :
( circle(X0,sK1,X1,X2)
| ~ cong(X0,sK1,X0,X2)
| ~ cong(X0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_60915,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,sK2,X0,X1)
| ~ perp(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_61591,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK9)
| ~ coll(sK9,X0,X2)
| ~ coll(sK9,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_61696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK9,X2,X3,X1,sK9)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_61697,plain,
( eqangle(sK3,sK3,sK3,sK9,sK3,sK3,sK3,sK9)
| ~ para(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_61696]) ).
tcf(c_63859,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK6,sK6,X0)
| ~ cong(sK6,X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_63860,plain,
( cong(sK3,sK6,sK6,sK3)
| ~ cong(sK6,sK3,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_63859]) ).
tcf(c_65262,plain,
! [X0: $i] :
( para(sK8,sK6,X0,sK5)
| ~ midp(sK7,sK6,sK5)
| ~ midp(sK7,sK8,X0) ),
inference(instantiation,[status(thm)],[c_59483]) ).
tcf(c_65263,plain,
( para(sK8,sK6,sK3,sK5)
| ~ midp(sK7,sK8,sK3)
| ~ midp(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_65262]) ).
tcf(c_66850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X0,sK9)
| ~ perp(X2,X3,X0,sK9)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_66851,plain,
( para(sK3,sK3,sK3,sK9)
| ~ perp(sK3,sK3,sK3,sK9)
| ~ perp(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_66850]) ).
tcf(c_67472,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK9,X0,X1,X2,sK9,X2,X1)
| ~ eqangle(X0,X1,X0,sK9,X2,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_67473,plain,
( eqangle(sK3,sK9,sK3,sK3,sK3,sK9,sK3,sK3)
| ~ eqangle(sK3,sK3,sK3,sK9,sK3,sK3,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_67472]) ).
tcf(c_70655,plain,
! [X0: $i] :
( coll(sK2,sK9,X0)
| ~ coll(sK2,X0,sK9) ),
inference(instantiation,[status(thm)],[c_59411]) ).
tcf(c_70660,plain,
( coll(sK2,sK9,sK3)
| ~ coll(sK2,sK3,sK9) ),
inference(instantiation,[status(thm)],[c_70655]) ).
tcf(c_70721,plain,
( perp(sK1,sK2,sK2,sK2)
| ~ coll(sK5,sK1,sK2)
| ~ circle(sK5,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_58111]) ).
tcf(c_75102,plain,
( coll(sK2,sK9,sK0)
| ~ coll(sK2,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_70655]) ).
tcf(c_75433,plain,
! [X0: $i] :
( circle(sK5,sK1,sK2,X0)
| ~ cong(sK5,sK1,sK5,sK2)
| ~ cong(sK5,sK1,sK5,X0) ),
inference(instantiation,[status(thm)],[c_60037]) ).
tcf(c_78853,plain,
! [X0: $i] :
( coll(sK3,sK0,sK2)
| ~ coll(sK2,X0,sK0)
| ~ coll(sK2,X0,sK3) ),
inference(instantiation,[status(thm)],[c_58201]) ).
tcf(c_82527,plain,
! [X0: $i] :
( coll(sK2,sK0,sK9)
| ~ coll(sK9,X0,sK0)
| ~ coll(sK9,X0,sK2) ),
inference(instantiation,[status(thm)],[c_61591]) ).
tcf(c_82528,plain,
( coll(sK2,sK0,sK9)
| ~ coll(sK9,sK3,sK0)
| ~ coll(sK9,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_82527]) ).
tcf(c_83670,plain,
( circle(sK5,sK1,sK2,sK2)
| ~ cong(sK5,sK1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_75433]) ).
tcf(c_84978,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK2,sK9,sK0)
| ~ coll(sK2,sK9,sK3) ),
inference(instantiation,[status(thm)],[c_78853]) ).
tcf(c_88996,plain,
( perp(sK2,sK2,sK1,sK2)
| ~ perp(sK1,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_60915]) ).
tcf(c_114136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6,X3,X2)
| ~ coll(sK6,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_115080,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X0,sK6,X1)
| ~ midp(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_115088,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X1,sK6,X0)
| ~ cong(sK6,X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_115089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK6,X3,sK6,X2)
| ~ cong(sK6,X3,X0,X1)
| ~ cong(X0,X1,sK6,X2) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_117111,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK5,X0,X1) ),
inference(resolution,[status(thm)],[c_107,c_52]) ).
tcf(c_119384,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(resolution,[status(thm)],[c_117,c_50]) ).
tcf(c_119595,plain,
perp(sK0,sK1,sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_119384,c_55,c_56,c_150,c_156,c_160,c_198,c_777,c_2162,c_2177,c_2182,c_2398,c_3832,c_3841,c_5030,c_5953,c_5992,c_6096,c_6944,c_11380,c_15440,c_15452,c_17461,c_18435,c_20439,c_21655,c_23461,c_32114,c_32254,c_39172,c_42128,c_51125,c_51269,c_51491,c_54356,c_56805,c_61697,c_66851,c_67473,c_70660,c_75102,c_82528,c_84978]) ).
tcf(c_119737,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X0,X1,sK6)
| ~ cong(sK6,X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_119738,plain,
( cong(sK6,sK3,sK3,sK6)
| ~ cong(sK6,sK3,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_119737]) ).
tcf(c_120376,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(resolution,[status(thm)],[c_98,c_119595]) ).
tcf(c_121208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,X3,X1,X2)
| ~ midp(sK5,X3,X0)
| ~ para(sK1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_126,c_117111]) ).
tcf(c_122377,plain,
! [X0: $i,X1: $i] :
( midp(sK6,X1,sK5)
| ~ coll(sK6,X1,sK5)
| ~ midp(sK8,X1,X0)
| ~ para(sK8,sK6,X0,sK5) ),
inference(instantiation,[status(thm)],[c_114136]) ).
tcf(c_122378,plain,
( midp(sK6,sK3,sK5)
| ~ coll(sK6,sK3,sK5)
| ~ midp(sK8,sK3,sK3)
| ~ para(sK8,sK6,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_122377]) ).
tcf(c_128892,plain,
! [X0: $i] :
( cong(sK6,X0,sK6,sK5)
| ~ midp(sK6,X0,sK5) ),
inference(instantiation,[status(thm)],[c_115080]) ).
tcf(c_128897,plain,
( cong(sK6,sK3,sK6,sK5)
| ~ midp(sK6,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_128892]) ).
tcf(c_138324,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK2,X0,X1)
| ~ para(sK1,sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_121208,c_52]) ).
tcf(c_138538,plain,
( perp(sK2,sK2,sK1,sK2)
| ~ para(sK1,sK1,sK0,sK1) ),
inference(resolution,[status(thm)],[c_138324,c_120376]) ).
tcf(c_139753,plain,
! [X0: $i] :
( cong(sK6,sK5,sK6,X0)
| ~ cong(sK6,X0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_115088]) ).
tcf(c_139756,plain,
( cong(sK6,sK5,sK6,sK3)
| ~ cong(sK6,sK3,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_139753]) ).
tcf(c_139777,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X0,sK6,X1)
| ~ cong(sK6,sK5,sK6,X1)
| ~ cong(sK6,X0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_115089]) ).
tcf(c_139778,plain,
( cong(sK6,sK3,sK6,sK3)
| ~ cong(sK6,sK5,sK6,sK3)
| ~ cong(sK6,sK3,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_139777]) ).
tcf(c_140608,plain,
perp(sK2,sK2,sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_138538,c_52,c_2159,c_2168,c_2343,c_2512,c_70721,c_83670,c_88996]) ).
tcf(c_140652,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ para(X0,X1,sK2,sK2) ),
inference(resolution,[status(thm)],[c_140608,c_98]) ).
tcf(c_140655,plain,
( perp(sK3,sK3,sK1,sK2)
| ~ para(sK3,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_140652]) ).
tcf(c_140656,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_140655,c_139778,c_139756,c_128897,c_122378,c_119738,c_65263,c_63860,c_59683,c_59033,c_56805,c_53714,c_42145,c_42128,c_39172,c_39068,c_38010,c_28510,c_27938,c_26474,c_21719,c_20439,c_19783,c_18653,c_17463,c_17461,c_16780,c_16770,c_13444,c_13440,c_12475,c_6944,c_6866,c_5992,c_5953,c_5612,c_5188,c_5187,c_4622,c_3841,c_3832,c_3823,c_3499,c_3081,c_3055,c_3015,c_2770,c_2768,c_2762,c_2682,c_2648,c_2398,c_2182,c_2177,c_2174,c_2162,c_198,c_160,c_158,c_150,c_49,c_56,c_52,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO583+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 12:28:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 86.98/12.91 % SZS status Started for theBenchmark.p
% 86.98/12.91 % SZS status Theorem for theBenchmark.p
% 86.98/12.91
% 86.98/12.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.98/12.91
% 86.98/12.91 % ------ iProver source info
% 86.98/12.91
% 86.98/12.91 % git: date: 2026-07-19 20:42:38 +0200
% 86.98/12.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.98/12.91 % git: non_committed_changes: false
% 86.98/12.91
% 86.98/12.91 % ------ Parsing...
% 86.98/12.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 86.98/12.91
% 86.98/12.91 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 86.98/12.91
% 86.98/12.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 86.98/12.91 % ------ Proving...
% 86.98/12.91 % ------ Problem Properties
% 86.98/12.91
% 86.98/12.91 %
% 86.98/12.91 % clauses 97
% 86.98/12.91 % conjectures 10
% 86.98/12.91 % EPR 64
% 86.98/12.91 % Horn 92
% 86.98/12.91 % unary 10
% 86.98/12.91 % binary 24
% 86.98/12.91 % lits 266
% 86.98/12.91 % lits eq 0
% 86.98/12.91 % fd_pure 0
% 86.98/12.91 % fd_pseudo 0
% 86.98/12.91 % fd_cond 0
% 86.98/12.91 % fd_pseudo_cond 0
% 86.98/12.91 % AC symbols 0
% 86.98/12.91
% 86.98/12.91 % ------ Schedule dynamic 5 is on
% 86.98/12.91
% 86.98/12.91 % ------ no equalities: superposition off
% 86.98/12.91
% 86.98/12.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 86.98/12.91
% 86.98/12.91
% 86.98/12.91 % ------
% 86.98/12.91 % Current options:
% 86.98/12.91 % ------
% 86.98/12.91
% 86.98/12.91
% 86.98/12.91 %
% 86.98/12.91
% 86.98/12.91 % ------ Proving...
% 86.98/12.91 % Proof_search_loop: time out after: 7070 full_loop iterations
% 86.98/12.91
% 86.98/12.91 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 86.98/12.91
% 86.98/12.91
% 86.98/12.91 % ------
% 86.98/12.91 % Current options:
% 86.98/12.91 % ------
% 86.98/12.91
% 86.98/12.91
% 86.98/12.91 %
% 86.98/12.91
% 86.98/12.91 % ------ Proving...
% 86.98/12.91 %
% 86.98/12.91
% 86.98/12.91 % SZS status Theorem for theBenchmark.p
% 86.98/12.91
% 86.98/12.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.98/12.92
% 86.98/12.92
%------------------------------------------------------------------------------