%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO629+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 01:21:41 PM UTC 2026
% Result : Theorem 60.39s 12.39s
% Output : CNFRefutation 84.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of formulae : 295 ( 27 unt; 0 def)
% Number of atoms : 771 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 838 ( 362 ~; 356 |; 86 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-5 aty)
% Number of variables : 986 ( 0 sgn 955 !; 31 ?; 322 :)
% 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(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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/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(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(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(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(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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(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(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X3,X0,X10,X13)
& para(X5,X6,X10,X7)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> para(X10,X4,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X3,X0,X10,X13)
& para(X5,X6,X10,X7)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> para(X10,X4,X9,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( circle(X3,X0,X10,X13)
& para(X5,X6,X10,X7)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ para(X10,X4,X9,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( circle(X3,X0,X10,X13)
& para(X5,X6,X10,X7)
& coll(X9,X0,X1)
& perp(X9,X7,X0,X1)
& coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ para(X10,X4,X9,X8) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f104]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(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(f149,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(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(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(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(ennf_transformation,[],[f49]) ).
fof(f184,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,[],[f183]) ).
fof(f185,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(f186,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f189,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(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(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(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(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,
( circle(sK3,sK0,sK10,sK13)
& para(sK5,sK6,sK10,sK7)
& coll(sK9,sK0,sK1)
& perp(sK9,sK7,sK0,sK1)
& coll(sK8,sK0,sK2)
& perp(sK8,sK7,sK0,sK2)
& circle(sK3,sK0,sK7,sK12)
& coll(sK6,sK0,sK1)
& perp(sK6,sK4,sK0,sK1)
& coll(sK5,sK0,sK2)
& perp(sK5,sK4,sK0,sK2)
& circle(sK3,sK0,sK4,sK11)
& circle(sK3,sK0,sK1,sK2)
& ~ para(sK10,sK4,sK9,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),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),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f105]) ).
fof(f240,plain,
para(sK5,sK6,sK10,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
perp(sK9,sK7,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK8,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK8,sK7,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
perp(sK6,sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ para(sK10,sK4,sK9,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f291,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(f294,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(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f297,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(f298,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(f299,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f302,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(f303,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(f305,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f315,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,[],[f184]) ).
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,[],[f186]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f319,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,[],[f190]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f323,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f195]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f196]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f197]) ).
fof(f326,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(f327,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f199]) ).
fof(f332,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(f333,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(sK10,sK4,sK9,sK8),
inference(cnf_transformation,[],[f252]) ).
tcf(c_54,negated_conjecture,
perp(sK6,sK4,sK0,sK1),
inference(cnf_transformation,[],[f247]) ).
tcf(c_57,negated_conjecture,
perp(sK8,sK7,sK0,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_58,negated_conjecture,
coll(sK8,sK0,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_59,negated_conjecture,
perp(sK9,sK7,sK0,sK1),
inference(cnf_transformation,[],[f242]) ).
tcf(c_60,negated_conjecture,
coll(sK9,sK0,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_61,negated_conjecture,
para(sK5,sK6,sK10,sK7),
inference(cnf_transformation,[],[f240]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
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_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_134,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,[],[f324]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_153,plain,
( coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_158,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_160,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_162,plain,
( circle(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_163,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_168,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_202,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_2409,plain,
( coll(sK8,sK2,sK0)
| ~ coll(sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2410,plain,
( coll(sK9,sK1,sK0)
| ~ coll(sK9,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,X0,X1,sK10,sK7,X0,X1)
| ~ para(sK5,sK6,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2446,plain,
( eqangle(sK5,sK6,sK0,sK0,sK10,sK7,sK0,sK0)
| ~ para(sK5,sK6,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_2445]) ).
tcf(c_2515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK5,sK6,sK10,sK7)
| ~ eqangle(X0,X1,X2,X3,sK5,sK6,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2516,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK5,sK6,sK10,sK7)
| ~ eqangle(sK0,sK0,sK0,sK0,sK5,sK6,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_2515]) ).
tcf(c_2766,plain,
! [X0: $i] :
( coll(sK0,X0,sK8)
| ~ coll(sK8,sK2,sK0)
| ~ coll(sK8,sK2,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2769,plain,
( coll(sK0,sK0,sK8)
| ~ coll(sK8,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2766]) ).
tcf(c_2793,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK1,sK0)
| ~ coll(sK9,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2796,plain,
( coll(sK0,sK0,sK9)
| ~ coll(sK9,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2793]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK5,sK6,X0,X1,sK10,sK7)
| ~ eqangle(sK5,sK6,X0,X1,sK10,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_3083,plain,
( eqangle(sK0,sK0,sK5,sK6,sK0,sK0,sK10,sK7)
| ~ eqangle(sK5,sK6,sK0,sK0,sK10,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3078]) ).
tcf(c_3282,plain,
para(sK10,sK7,sK5,sK6),
inference(superposition,[status(thm)],[c_61,c_109]) ).
tcf(c_3425,plain,
perp(sK0,sK1,sK9,sK7),
inference(superposition,[status(thm)],[c_59,c_116]) ).
tcf(c_3623,plain,
perp(sK0,sK1,sK7,sK9),
inference(superposition,[status(thm)],[c_3425,c_117]) ).
tcf(c_4292,plain,
! [X0: $i] :
( coll(sK8,sK0,X0)
| ~ coll(sK0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4293,plain,
( coll(sK8,sK0,sK0)
| ~ coll(sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_4292]) ).
tcf(c_4306,plain,
! [X0: $i] :
( coll(sK8,sK0,X0)
| ~ coll(sK8,X0,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4476,plain,
! [X0: $i,X1: $i] :
( coll(sK9,sK0,X0)
| ~ coll(X0,X1,sK0)
| ~ coll(X0,X1,sK9) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4480,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK8,X2,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_5391,plain,
! [X0: $i] :
( coll(sK0,sK8,X0)
| ~ coll(sK0,X0,sK8) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_5392,plain,
( coll(sK0,sK8,sK0)
| ~ coll(sK0,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_5391]) ).
tcf(c_5432,plain,
! [X0: $i] :
( coll(sK0,sK9,X0)
| ~ coll(sK9,sK0,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5722,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK5,sK6,sK10,sK7)
| ~ eqangle(X0,X1,sK5,sK6,X0,X1,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_5723,plain,
( eqangle(sK0,sK0,sK0,sK0,sK5,sK6,sK10,sK7)
| ~ eqangle(sK0,sK0,sK5,sK6,sK0,sK0,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_5722]) ).
tcf(c_6108,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK4,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_107]) ).
tcf(c_6576,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK10,sK7)
| ~ para(X0,X1,sK5,sK6) ),
inference(superposition,[status(thm)],[c_61,c_108]) ).
tcf(c_7361,plain,
para(sK6,sK4,sK7,sK9),
inference(superposition,[status(thm)],[c_3623,c_6108]) ).
tcf(c_7424,plain,
! [X0: $i,X1: $i] :
( para(sK10,sK4,sK9,sK8)
| ~ perp(sK10,sK4,X0,X1)
| ~ perp(X0,X1,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_7425,plain,
( para(sK10,sK4,sK9,sK8)
| ~ perp(sK0,sK0,sK9,sK8)
| ~ perp(sK10,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7424]) ).
tcf(c_7491,plain,
para(sK10,sK7,sK10,sK7),
inference(superposition,[status(thm)],[c_3282,c_6576]) ).
tcf(c_8958,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK7,sK9)
| ~ para(X0,X1,sK6,sK4) ),
inference(superposition,[status(thm)],[c_7361,c_108]) ).
tcf(c_8961,plain,
para(sK7,sK9,sK6,sK4),
inference(superposition,[status(thm)],[c_7361,c_109]) ).
tcf(c_11638,plain,
! [X0: $i] :
( coll(sK9,sK0,sK8)
| ~ coll(sK8,X0,sK0)
| ~ coll(sK8,X0,sK9) ),
inference(instantiation,[status(thm)],[c_4476]) ).
tcf(c_11641,plain,
( coll(sK9,sK0,sK8)
| ~ coll(sK8,sK0,sK0)
| ~ coll(sK8,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_11638]) ).
tcf(c_11683,plain,
( coll(sK8,sK0,sK9)
| ~ coll(sK8,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_4306]) ).
tcf(c_12802,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK9,sK8)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,sK9,X1,sK9) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_12803,plain,
( perp(sK0,sK0,sK9,sK8)
| ~ cong(sK0,sK8,sK0,sK8)
| ~ cong(sK0,sK9,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_12802]) ).
tcf(c_14495,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK10,sK10)
| ~ para(sK10,sK7,sK10,sK7) ),
inference(superposition,[status(thm)],[c_7491,c_101]) ).
tcf(c_14500,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK10,sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14495,c_7491]) ).
tcf(c_14596,plain,
( midp(sK0,sK7,sK7)
| ~ midp(sK0,sK10,sK10) ),
inference(instantiation,[status(thm)],[c_14500]) ).
tcf(c_18285,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK16(X0,X2,X1,sK9,sK8),X0,sK9,sK8)
| ~ coll(X2,sK9,sK8)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_18287,plain,
( perp(sK16(sK0,sK0,sK0,sK9,sK8),sK0,sK9,sK8)
| ~ coll(sK0,sK9,sK8)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_18285]) ).
tcf(c_18300,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK10,sK4)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,sK10,X1,sK10) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_18301,plain,
( perp(sK0,sK0,sK10,sK4)
| ~ cong(sK0,sK4,sK0,sK4)
| ~ cong(sK0,sK10,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_18300]) ).
tcf(c_18650,plain,
! [X0: $i] :
( coll(X0,sK10,sK10)
| ~ para(X0,sK10,X0,sK10) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_18651,plain,
( coll(sK0,sK10,sK10)
| ~ para(sK0,sK10,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_18650]) ).
tcf(c_22684,plain,
! [X0: $i] :
( cong(X0,sK9,X0,sK9)
| ~ midp(X0,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_22685,plain,
( cong(sK0,sK9,sK0,sK9)
| ~ midp(sK0,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_22684]) ).
tcf(c_27386,plain,
! [X0: $i,X1: $i] :
( coll(sK8,sK9,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,sK9) ),
inference(instantiation,[status(thm)],[c_4480]) ).
tcf(c_27387,plain,
( coll(sK8,sK9,sK0)
| ~ coll(sK0,sK0,sK8)
| ~ coll(sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_27386]) ).
tcf(c_28181,plain,
perp(sK0,sK2,sK8,sK7),
inference(superposition,[status(thm)],[c_57,c_116]) ).
tcf(c_28219,plain,
perp(sK0,sK2,sK7,sK8),
inference(superposition,[status(thm)],[c_28181,c_117]) ).
tcf(c_28722,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK7,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_107]) ).
tcf(c_29219,plain,
para(sK8,sK7,sK7,sK8),
inference(superposition,[status(thm)],[c_28219,c_28722]) ).
tcf(c_29703,plain,
para(sK7,sK8,sK8,sK7),
inference(superposition,[status(thm)],[c_29219,c_109]) ).
tcf(c_30174,plain,
para(sK7,sK8,sK7,sK8),
inference(superposition,[status(thm)],[c_29703,c_110]) ).
tcf(c_30653,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK7,sK7)
| ~ para(sK7,sK8,sK7,sK8) ),
inference(superposition,[status(thm)],[c_30174,c_101]) ).
tcf(c_30654,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK7,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30653,c_30174]) ).
tcf(c_30771,plain,
( midp(sK0,sK8,sK8)
| ~ midp(sK0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_30654]) ).
tcf(c_37874,plain,
para(sK7,sK9,sK7,sK9),
inference(superposition,[status(thm)],[c_8961,c_8958]) ).
tcf(c_42786,plain,
! [X0: $i] :
( cong(X0,sK8,X0,sK8)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_42787,plain,
( cong(sK0,sK8,sK0,sK8)
| ~ midp(sK0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_42786]) ).
tcf(c_44078,plain,
! [X0: $i] :
( midp(X0,sK9,sK9)
| ~ midp(X0,sK7,sK7)
| ~ para(sK7,sK9,sK7,sK9) ),
inference(superposition,[status(thm)],[c_37874,c_101]) ).
tcf(c_44087,plain,
! [X0: $i] :
( midp(X0,sK9,sK9)
| ~ midp(X0,sK7,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44078,c_37874]) ).
tcf(c_44090,plain,
( midp(sK0,sK9,sK9)
| ~ midp(sK0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_44087]) ).
tcf(c_55915,plain,
( coll(sK0,sK9,sK8)
| ~ coll(sK9,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_5432]) ).
tcf(c_62239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK9,sK8)
| ~ perp(X2,X3,sK9,sK8)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_62256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK10,sK4,sK9,sK8,X2,X3,X0,X1)
| ~ eqangle(sK9,sK8,sK10,sK4,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_62472,plain,
! [X0: $i,X1: $i] :
( perp(sK9,sK8,X0,X1)
| ~ perp(X0,X1,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_62605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK10,sK4,X2,X3)
| ~ eqangle(sK10,sK4,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_62771,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK10,X1)
| ~ coll(X0,sK10,X1)
| ~ cong(X0,sK10,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_62821,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK10,sK4,sK9,sK8,sK10,sK4)
| ~ para(X0,X1,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_63015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,sK9,sK8)
| ~ perp(sK16(X2,X3,X4,sK9,sK8),X2,sK9,sK8)
| ~ perp(X0,X1,sK16(X2,X3,X4,sK9,sK8),X2) ),
inference(instantiation,[status(thm)],[c_62239]) ).
tcf(c_64068,plain,
! [X0: $i,X1: $i] :
( perp(sK10,sK4,X0,X1)
| ~ perp(X0,X1,sK10,sK4) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_64069,plain,
( perp(sK10,sK4,sK0,sK0)
| ~ perp(sK0,sK0,sK10,sK4) ),
inference(instantiation,[status(thm)],[c_64068]) ).
tcf(c_64203,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK9,sK8,sK16(X0,X1,X2,sK9,sK8),X0)
| ~ perp(sK16(X0,X1,X2,sK9,sK8),X0,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_62472]) ).
tcf(c_64204,plain,
( perp(sK9,sK8,sK16(sK0,sK0,sK0,sK9,sK8),sK0)
| ~ perp(sK16(sK0,sK0,sK0,sK9,sK8),sK0,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_64203]) ).
tcf(c_64821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK10,X0,X3)
| ~ eqangle(X0,sK10,X1,X2,X0,X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_64868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK4)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_64895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,sK10,X3,sK10)
| ~ cong(X1,X2,X3,sK10)
| ~ cong(X0,sK10,X1,X2) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_64896,plain,
( cong(sK0,sK10,sK0,sK10)
| ~ cong(sK0,sK0,sK0,sK10)
| ~ cong(sK0,sK10,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_64895]) ).
tcf(c_65674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK10,sK10,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK10,sK10,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_65675,plain,
( perp(sK0,sK10,sK10,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK10,sK10,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_65674]) ).
tcf(c_66517,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK10,X1,X2)
| ~ cong(X0,X2,sK10,X2)
| ~ cong(X0,X1,sK10,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_66518,plain,
( perp(sK0,sK10,sK0,sK0)
| ~ cong(sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_66517]) ).
tcf(c_67459,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X1,X2,X0,sK10)
| ~ perp(X0,sK10,X1,X2) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_67460,plain,
( perp(sK0,sK0,sK0,sK10)
| ~ perp(sK0,sK10,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_67459]) ).
tcf(c_67691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK10)
| ~ perp(X2,X3,X4,sK10)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_67694,plain,
( para(sK0,sK0,sK0,sK10)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_67691]) ).
tcf(c_68041,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK10,X1,sK10,X2)
| ~ eqangle(X0,X1,sK10,X1,X0,X2,sK10,X2) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_68042,plain,
( eqangle(sK0,sK0,sK0,sK0,sK10,sK0,sK10,sK0)
| ~ eqangle(sK0,sK0,sK10,sK0,sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_68041]) ).
tcf(c_68306,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK9,sK8,sK9,sK8)
| ~ perp(sK9,sK8,sK16(X0,X1,X2,sK9,sK8),X0)
| ~ perp(sK16(X0,X1,X2,sK9,sK8),X0,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_63015]) ).
tcf(c_68307,plain,
( para(sK9,sK8,sK9,sK8)
| ~ perp(sK9,sK8,sK16(sK0,sK0,sK0,sK9,sK8),sK0)
| ~ perp(sK16(sK0,sK0,sK0,sK9,sK8),sK0,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_68306]) ).
tcf(c_68444,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK10,X0,X1)
| ~ cong(X0,X1,X0,sK10) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_68445,plain,
( cong(sK0,sK10,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_68444]) ).
tcf(c_68786,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,sK10,X1,X0,X2,sK10,X1)
| ~ para(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_68787,plain,
( eqangle(sK0,sK0,sK10,sK0,sK0,sK0,sK10,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_68786]) ).
tcf(c_76271,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK10)
| ~ cong(X0,X1,sK10,X0) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_76272,plain,
( cong(sK0,sK0,sK0,sK10)
| ~ cong(sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_76271]) ).
tcf(c_76563,plain,
! [X0: $i,X1: $i] :
( para(X0,sK10,X0,sK10)
| ~ eqangle(X0,sK10,X0,X1,X0,sK10,X0,X1) ),
inference(instantiation,[status(thm)],[c_64821]) ).
tcf(c_76565,plain,
( para(sK0,sK10,sK0,sK10)
| ~ eqangle(sK0,sK10,sK0,sK0,sK0,sK10,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_76563]) ).
tcf(c_76567,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,sK10,X1,X2,X1,X1,X1,X2)
| ~ perp(X0,X1,X1,sK10)
| ~ circle(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_76568,plain,
( eqangle(sK0,sK10,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK10)
| ~ circle(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_76567]) ).
tcf(c_77026,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,sK10,X2)
| ~ midp(X2,X0,X1)
| ~ perp(X0,sK10,sK10,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_77027,plain,
( cong(sK0,sK0,sK10,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK0,sK10,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_77026]) ).
tcf(c_78123,plain,
( eqangle(sK10,sK4,sK9,sK8,sK10,sK4,sK9,sK8)
| ~ eqangle(sK9,sK8,sK10,sK4,sK9,sK8,sK10,sK4) ),
inference(instantiation,[status(thm)],[c_62256]) ).
tcf(c_79214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X3,X4,X2,sK10,X3,X4)
| ~ para(X0,X1,X2,sK10) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_79215,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK10,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_79214]) ).
tcf(c_79610,plain,
( eqangle(sK9,sK8,sK10,sK4,sK9,sK8,sK10,sK4)
| ~ para(sK9,sK8,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_62821]) ).
tcf(c_81791,plain,
( para(sK10,sK4,sK10,sK4)
| ~ eqangle(sK10,sK4,sK9,sK8,sK10,sK4,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_62605]) ).
tcf(c_86609,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK10,X1,sK10,X2,X0,X1,X0,X2)
| ~ eqangle(X0,X1,X0,X2,sK10,X1,sK10,X2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_86610,plain,
( eqangle(sK10,sK0,sK10,sK0,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK10,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_86609]) ).
tcf(c_86628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( eqangle(X6,sK10,X6,X5,X4,sK10,X4,X5)
| ~ eqangle(X6,sK10,X6,X5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,sK10,X4,X5) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_86629,plain,
( eqangle(sK0,sK10,sK0,sK0,sK0,sK10,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK10,sK0,sK0)
| ~ eqangle(sK0,sK10,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_86628]) ).
tcf(c_88363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,sK10,sK10,X1,X2,X3,X4,X5)
| ~ eqangle(sK10,X0,sK10,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_88364,plain,
( eqangle(sK0,sK10,sK10,sK0,sK0,sK0,sK0,sK0)
| ~ eqangle(sK10,sK0,sK10,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_88363]) ).
tcf(c_89462,plain,
! [X0: $i] :
( midp(X0,sK10,sK10)
| ~ coll(X0,sK10,sK10)
| ~ cong(X0,sK10,X0,sK10) ),
inference(instantiation,[status(thm)],[c_62771]) ).
tcf(c_89463,plain,
( midp(sK0,sK10,sK10)
| ~ coll(sK0,sK10,sK10)
| ~ cong(sK0,sK10,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_89462]) ).
tcf(c_111253,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK10,sK10)
| ~ para(sK10,sK4,sK10,sK4) ),
inference(instantiation,[status(thm)],[c_64868]) ).
tcf(c_111254,plain,
( midp(sK0,sK4,sK4)
| ~ midp(sK0,sK10,sK10)
| ~ para(sK10,sK4,sK10,sK4) ),
inference(instantiation,[status(thm)],[c_111253]) ).
tcf(c_135483,plain,
! [X0: $i] :
( cong(X0,sK4,X0,sK4)
| ~ midp(X0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_135484,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ midp(sK0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_135483]) ).
tcf(c_135485,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_135484,c_111254,c_89463,c_88364,c_86629,c_86610,c_81791,c_79610,c_79215,c_78123,c_77027,c_76568,c_76565,c_76272,c_68787,c_68445,c_68307,c_68042,c_67694,c_67460,c_66518,c_65675,c_64896,c_64204,c_64069,c_55915,c_44090,c_42787,c_30771,c_27387,c_22685,c_18651,c_18301,c_18287,c_14596,c_12803,c_11683,c_11641,c_7425,c_5723,c_5392,c_4293,c_3083,c_2796,c_2769,c_2516,c_2446,c_2410,c_2409,c_202,c_168,c_163,c_162,c_160,c_158,c_153,c_49,c_61,c_58,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 12:37:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 60.39/12.39 % SZS status Started for theBenchmark.p
% 60.39/12.39 % SZS status Theorem for theBenchmark.p
% 60.39/12.39
% 60.39/12.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 60.39/12.39
% 60.39/12.39 % ------ iProver source info
% 60.39/12.39
% 60.39/12.39 % git: date: 2026-07-19 20:42:38 +0200
% 60.39/12.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 60.39/12.39 % git: non_committed_changes: false
% 60.39/12.39
% 60.39/12.39 % ------ Parsing...
% 60.39/12.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 60.39/12.39
% 60.39/12.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 60.39/12.39
% 60.39/12.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 60.39/12.39 % ------ Proving...
% 60.39/12.39 % ------ Problem Properties
% 60.39/12.39
% 60.39/12.39 %
% 60.39/12.39 % clauses 101
% 60.39/12.39 % conjectures 14
% 60.39/12.39 % EPR 68
% 60.39/12.39 % Horn 96
% 60.39/12.39 % unary 14
% 60.39/12.39 % binary 24
% 60.39/12.39 % lits 270
% 60.39/12.39 % lits eq 0
% 60.39/12.39 % fd_pure 0
% 60.39/12.39 % fd_pseudo 0
% 60.39/12.39 % fd_cond 0
% 60.39/12.39 % fd_pseudo_cond 0
% 60.39/12.39 % AC symbols 0
% 60.39/12.39
% 60.39/12.39 % ------ Schedule dynamic 5 is on
% 60.39/12.39
% 60.39/12.39 % ------ no equalities: superposition off
% 60.39/12.39
% 60.39/12.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 60.39/12.39
% 60.39/12.39
% 60.39/12.39 % ------
% 60.39/12.39 % Current options:
% 60.39/12.39 % ------
% 60.39/12.39
% 60.39/12.39
% 60.39/12.39 %
% 60.39/12.39
% 60.39/12.39 % ------ Proving...
% 60.39/12.39 % Proof_search_loop: time out after: 8011 full_loop iterations
% 60.39/12.39
% 60.39/12.39 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 60.39/12.39
% 60.39/12.39
% 60.39/12.39 % ------
% 60.39/12.39 % Current options:
% 60.39/12.39 % ------
% 60.39/12.39
% 60.39/12.39
% 60.39/12.39 %
% 60.39/12.39
% 60.39/12.39 % ------ Proving...
% 60.39/12.39 %
% 60.39/12.39
% 60.39/12.39 % SZS status Theorem for theBenchmark.p
% 60.39/12.39
% 60.39/12.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.22/12.40
% 84.22/12.40
%------------------------------------------------------------------------------