%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO577+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 : n011.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 01:21:31 PM UTC 2026
% Result : Theorem 31.42s 5.33s
% Output : CNFRefutation 31.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 296 ( 48 unt; 0 def)
% Number of atoms : 696 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 719 ( 319 ~; 313 |; 54 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 883 ( 0 sgn 865 !; 18 ?; 279 :)
% 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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> para(X5,X6,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214039) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> para(X5,X6,X0,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ para(X5,X6,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X4,X0,X6,X8)
& perp(X1,X3,X1,X6)
& coll(X5,X2,X3)
& circle(X4,X2,X5,X7)
& circle(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ para(X5,X6,X0,X3) ),
inference(flattening,[],[f98]) ).
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(f188,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(f189,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,[],[f188]) ).
fof(f190,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(f191,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(f192,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(f193,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(f194,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f195,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(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
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(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(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f220,plain,
( circle(sK4,sK0,sK6,sK8)
& perp(sK1,sK3,sK1,sK6)
& coll(sK5,sK2,sK3)
& circle(sK4,sK2,sK5,sK7)
& circle(sK4,sK0,sK1,sK2)
& eqangle(sK3,sK2,sK2,sK0,sK3,sK2,sK2,sK1)
& eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0)
& eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2)
& ~ para(sK5,sK6,sK0,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),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)],[f99]) ).
fof(f240,plain,
perp(sK1,sK3,sK1,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK5,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ para(sK5,sK6,sK0,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f283,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(f286,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(f289,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(f290,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(f292,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f153]) ).
fof(f293,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(f294,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f297,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(f298,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(f300,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f313,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,[],[f189]) ).
fof(f314,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,[],[f190]) ).
fof(f315,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,[],[f191]) ).
fof(f316,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,[],[f192]) ).
fof(f317,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,[],[f193]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
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,[],[f196]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f327,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(f328,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_49,negated_conjecture,
~ para(sK5,sK6,sK0,sK3),
inference(cnf_transformation,[],[f247]) ).
tcf(c_50,negated_conjecture,
eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_51,negated_conjecture,
eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0),
inference(cnf_transformation,[],[f245]) ).
tcf(c_55,negated_conjecture,
coll(sK5,sK2,sK3),
inference(cnf_transformation,[],[f241]) ).
tcf(c_56,negated_conjecture,
perp(sK1,sK3,sK1,sK6),
inference(cnf_transformation,[],[f240]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_123,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,[],[f313]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_125,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,[],[f315]) ).
tcf(c_126,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,[],[f316]) ).
tcf(c_127,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,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f318]) ).
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_137,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,[],[f327]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_140,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,[],[f330]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_155,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_158,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2268,plain,
( perp(sK1,sK6,sK1,sK3)
| ~ perp(sK1,sK3,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2305,plain,
( eqangle(sK3,sK0,sK0,sK2,sK3,sK0,sK0,sK1)
| ~ eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2309,plain,
( eqangle(sK1,sK2,sK3,sK1,sK1,sK0,sK3,sK1)
| ~ eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_2328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK3,sK0,sK0,sK2)
| ~ eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2)
| ~ eqangle(X0,X1,X2,X3,sK3,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK6,X0,X1)
| ~ perp(sK1,sK6,sK1,sK3)
| ~ perp(sK1,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2632,plain,
( para(sK1,sK2,sK1,sK0)
| ~ eqangle(sK1,sK2,sK3,sK1,sK1,sK0,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2659,plain,
( eqangle(sK3,sK0,sK0,sK2,sK3,sK0,sK0,sK2)
| ~ eqangle(sK3,sK0,sK0,sK2,sK3,sK0,sK0,sK1)
| ~ eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2328]) ).
tcf(c_2923,plain,
coll(sK5,sK3,sK2),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_2928,plain,
coll(sK5,sK3,sK2),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_3074,plain,
perp(sK1,sK6,sK1,sK3),
inference(superposition,[status(thm)],[c_56,c_111]) ).
tcf(c_3322,plain,
! [X0: $i] :
( coll(sK3,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_3324,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_2923,c_84]) ).
tcf(c_3352,plain,
! [X0: $i] :
( coll(sK3,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_3354,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_2928,c_84]) ).
tcf(c_3428,plain,
coll(sK3,sK3,sK5),
inference(superposition,[status(thm)],[c_55,c_3322]) ).
tcf(c_3433,plain,
coll(sK3,sK3,sK5),
inference(superposition,[status(thm)],[c_55,c_3352]) ).
tcf(c_3434,plain,
! [X0: $i] :
( coll(sK5,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_3428,c_84]) ).
tcf(c_3440,plain,
! [X0: $i] :
( coll(sK5,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_3433,c_84]) ).
tcf(c_3466,plain,
( coll(sK1,sK2,sK0)
| ~ para(sK1,sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_3576,plain,
coll(sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_2928,c_3354]) ).
tcf(c_3584,plain,
! [X0: $i] :
( coll(sK5,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_3576,c_84]) ).
tcf(c_3613,plain,
coll(sK5,sK5,sK3),
inference(superposition,[status(thm)],[c_3433,c_3440]) ).
tcf(c_3650,plain,
coll(sK5,sK3,sK5),
inference(superposition,[status(thm)],[c_3613,c_86]) ).
tcf(c_3811,plain,
! [X0: $i] :
( coll(sK5,X0,sK5)
| ~ coll(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_3650,c_84]) ).
tcf(c_4279,plain,
( para(sK1,sK6,sK1,sK6)
| ~ perp(sK1,sK3,sK1,sK6)
| ~ perp(sK1,sK6,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_2394]) ).
tcf(c_4362,plain,
( para(sK3,sK0,sK3,sK0)
| ~ eqangle(sK3,sK0,sK0,sK2,sK3,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_4726,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK6,X0,X1,sK1,sK6,X0,X1)
| ~ para(sK1,sK6,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_4729,plain,
( eqangle(sK1,sK6,sK0,sK0,sK1,sK6,sK0,sK0)
| ~ para(sK1,sK6,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_4726]) ).
tcf(c_4731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK1,sK6,sK1,sK6)
| ~ eqangle(X0,X1,X2,X3,sK1,sK6,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_4732,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK1,sK6,sK1,sK6)
| ~ eqangle(sK0,sK0,sK0,sK0,sK1,sK6,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_4731]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK3,X0,X1)
| ~ perp(sK1,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_102]) ).
tcf(c_5363,plain,
para(sK1,sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_3074,c_4834]) ).
tcf(c_5408,plain,
coll(sK1,sK3,sK3),
inference(superposition,[status(thm)],[c_5363,c_81]) ).
tcf(c_6196,plain,
coll(sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_5408,c_85]) ).
tcf(c_6236,plain,
coll(sK3,sK3,sK1),
inference(superposition,[status(thm)],[c_6196,c_86]) ).
tcf(c_6256,plain,
coll(sK5,sK1,sK3),
inference(superposition,[status(thm)],[c_6236,c_3434]) ).
tcf(c_6289,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6290,plain,
( coll(sK0,sK3,sK0)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6289]) ).
tcf(c_6305,plain,
! [X0: $i] :
( coll(sK5,sK2,X0)
| ~ coll(sK5,X0,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_6306,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_6305]) ).
tcf(c_7245,plain,
eqangle(sK3,sK0,sK3,sK0,sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_50,c_124]) ).
tcf(c_7259,plain,
eqangle(sK3,sK0,sK3,sK0,sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_50,c_124]) ).
tcf(c_7313,plain,
coll(sK5,sK3,sK1),
inference(superposition,[status(thm)],[c_6256,c_86]) ).
tcf(c_7484,plain,
( para(sK3,sK0,sK3,sK0)
| ~ para(sK0,sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_7245,c_93]) ).
tcf(c_7536,plain,
para(sK3,sK0,sK3,sK0),
inference(global_subsumption_just,[status(thm)],[c_7484,c_50,c_2305,c_2659,c_4362]) ).
tcf(c_7543,plain,
coll(sK3,sK0,sK0),
inference(superposition,[status(thm)],[c_7536,c_81]) ).
tcf(c_7913,plain,
eqangle(sK0,sK1,sK3,sK0,sK0,sK2,sK3,sK0),
inference(superposition,[status(thm)],[c_50,c_126]) ).
tcf(c_7938,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK6,sK0,sK3)
| ~ perp(sK5,sK6,X0,X1)
| ~ perp(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_7939,plain,
( para(sK5,sK6,sK0,sK3)
| ~ perp(sK0,sK0,sK0,sK3)
| ~ perp(sK5,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7938]) ).
tcf(c_8055,plain,
eqangle(sK0,sK3,sK3,sK0,sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_7259,c_127]) ).
tcf(c_8326,plain,
coll(sK2,sK1,sK5),
inference(superposition,[status(thm)],[c_7313,c_3324]) ).
tcf(c_8525,plain,
para(sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_7913,c_100]) ).
tcf(c_8786,plain,
( coll(sK2,sK1,sK0)
| ~ coll(sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_9163,plain,
coll(sK0,sK3,sK0),
inference(superposition,[status(thm)],[c_7543,c_85]) ).
tcf(c_9284,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8525,c_103]) ).
tcf(c_9288,plain,
para(sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_8525,c_104]) ).
tcf(c_10704,plain,
( para(sK0,sK3,sK3,sK0)
| ~ para(sK0,sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_8055,c_93]) ).
tcf(c_10705,plain,
para(sK0,sK3,sK3,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_10704,c_8525]) ).
tcf(c_10973,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK1,sK6,X0,X1,sK1,sK6)
| ~ eqangle(sK1,sK6,X0,X1,sK1,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_10974,plain,
( eqangle(sK0,sK0,sK1,sK6,sK0,sK0,sK1,sK6)
| ~ eqangle(sK1,sK6,sK0,sK0,sK1,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_10973]) ).
tcf(c_11291,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_138]) ).
tcf(c_11304,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11291]) ).
tcf(c_11484,plain,
! [X0: $i] :
( coll(sK5,X0,sK2)
| ~ coll(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8326,c_84]) ).
tcf(c_11489,plain,
( coll(sK5,sK0,sK2)
| ~ coll(sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_11484]) ).
tcf(c_12544,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_9163,c_84]) ).
tcf(c_12549,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_12544]) ).
tcf(c_17850,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_9288,c_9284]) ).
tcf(c_20286,plain,
para(sK0,sK3,sK0,sK3),
inference(superposition,[status(thm)],[c_10705,c_105]) ).
tcf(c_25634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_99,c_137]) ).
tcf(c_25786,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25634]) ).
tcf(c_34085,plain,
coll(sK0,sK2,sK2),
inference(superposition,[status(thm)],[c_17850,c_81]) ).
tcf(c_34231,plain,
coll(sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_34085,c_85]) ).
tcf(c_34496,plain,
coll(sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_34231,c_86]) ).
tcf(c_34511,plain,
coll(sK5,sK0,sK2),
inference(superposition,[status(thm)],[c_34496,c_3584]) ).
tcf(c_35244,plain,
! [X0: $i] :
( midp(X0,sK3,sK3)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK3) ),
inference(superposition,[status(thm)],[c_20286,c_96]) ).
tcf(c_35250,plain,
! [X0: $i] :
( midp(X0,sK3,sK3)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35244,c_20286]) ).
tcf(c_35253,plain,
( midp(sK0,sK3,sK3)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35250]) ).
tcf(c_35256,plain,
coll(sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_34511,c_86]) ).
tcf(c_35274,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ para(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_35275,plain,
( para(sK0,sK3,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_35274]) ).
tcf(c_35361,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_35256,c_84]) ).
tcf(c_35364,plain,
coll(sK3,sK0,sK5),
inference(superposition,[status(thm)],[c_35256,c_3352]) ).
tcf(c_35367,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_35361]) ).
tcf(c_35556,plain,
coll(sK3,sK5,sK0),
inference(superposition,[status(thm)],[c_35364,c_86]) ).
tcf(c_35784,plain,
coll(sK5,sK3,sK0),
inference(superposition,[status(thm)],[c_35556,c_85]) ).
tcf(c_36828,plain,
coll(sK5,sK0,sK5),
inference(superposition,[status(thm)],[c_35784,c_3811]) ).
tcf(c_37152,plain,
coll(sK0,sK5,sK5),
inference(superposition,[status(thm)],[c_36828,c_85]) ).
tcf(c_38195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK3)
| ~ perp(X2,X3,sK0,sK3)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_38196,plain,
( para(sK0,sK0,sK0,sK3)
| ~ perp(sK0,sK0,sK0,sK3)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38195]) ).
tcf(c_38846,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK3)
| ~ cong(X0,sK3,X1,sK3)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_38847,plain,
( perp(sK0,sK0,sK0,sK3)
| ~ cong(sK0,sK3,sK0,sK3)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38846]) ).
tcf(c_40746,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK3,X0,X1)
| ~ perp(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_40747,plain,
( perp(sK0,sK3,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_40746]) ).
tcf(c_41156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK6,sK1,sK6)
| ~ eqangle(X0,X1,sK1,sK6,X2,X3,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_41157,plain,
( eqangle(sK0,sK0,sK0,sK0,sK1,sK6,sK1,sK6)
| ~ eqangle(sK0,sK0,sK1,sK6,sK0,sK0,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_41156]) ).
tcf(c_41854,plain,
! [X0: $i] :
( cong(X0,sK3,X0,sK3)
| ~ midp(X0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_41855,plain,
( cong(sK0,sK3,sK0,sK3)
| ~ midp(sK0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_41854]) ).
tcf(c_42042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,sK5,X3,sK5)
| ~ cong(X1,X2,X3,sK5)
| ~ cong(X0,sK5,X1,X2) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_42043,plain,
( cong(sK0,sK5,sK0,sK5)
| ~ cong(sK0,sK0,sK0,sK5)
| ~ cong(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_42042]) ).
tcf(c_47186,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK6,X0,X1)
| ~ cong(sK5,X1,sK6,X1)
| ~ cong(sK5,X0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_47187,plain,
( perp(sK5,sK6,sK0,sK0)
| ~ cong(sK5,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_47186]) ).
tcf(c_54887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK5,sK6,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK5,sK6,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_54894,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK6,X1,X0)
| ~ perp(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_54913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK6,sK0,sK3,X2,X3,X0,X1)
| ~ eqangle(sK0,sK3,sK5,sK6,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_54993,plain,
! [X0: $i] :
( midp(sK0,X0,sK5)
| ~ coll(sK0,X0,sK5)
| ~ cong(sK0,X0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_55211,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK0)
| ~ cong(X0,sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_55212,plain,
( cong(sK0,sK5,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_55211]) ).
tcf(c_55340,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK3,sK5,sK6,X0,X1,sK5,sK6)
| ~ para(sK0,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_55342,plain,
( eqangle(sK0,sK3,sK5,sK6,sK0,sK0,sK5,sK6)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_55340]) ).
tcf(c_55415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK5,X0,sK5,sK0)
| ~ perp(X1,X2,X3,X4)
| ~ eqangle(sK5,X0,sK5,sK0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_55416,plain,
( perp(sK5,sK0,sK5,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK5,sK0,sK5,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_55415]) ).
tcf(c_55526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK6,X0,X1,sK0,sK3,X2,X3)
| ~ eqangle(sK5,sK6,sK0,sK3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_56005,plain,
! [X0: $i] :
( perp(sK5,X0,sK0,sK5)
| ~ perp(sK5,X0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_56006,plain,
( perp(sK5,sK0,sK0,sK5)
| ~ perp(sK5,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_56005]) ).
tcf(c_56063,plain,
( midp(sK0,sK5,sK5)
| ~ coll(sK0,sK5,sK5)
| ~ cong(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_54993]) ).
tcf(c_56068,plain,
! [X0: $i] :
( cong(sK0,X0,sK0,sK5)
| ~ cong(sK0,X0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_56069,plain,
( cong(sK0,sK0,sK0,sK5)
| ~ cong(sK0,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_56068]) ).
tcf(c_56515,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK0,sK3,sK5,sK6,X0,X1)
| ~ eqangle(sK0,sK3,sK5,sK6,X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_54913]) ).
tcf(c_56517,plain,
( eqangle(sK5,sK6,sK0,sK3,sK5,sK6,sK0,sK0)
| ~ eqangle(sK0,sK3,sK5,sK6,sK0,sK0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_56515]) ).
tcf(c_56785,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK0,sK5,sK0)
| ~ midp(sK0,X0,X1)
| ~ perp(X0,sK5,sK5,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_56786,plain,
( cong(sK0,sK0,sK5,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK0,sK5,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_56785]) ).
tcf(c_57570,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,sK6,X2)
| ~ midp(X2,X0,X1)
| ~ perp(X0,sK6,sK6,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_57612,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,sK5,X0,X1)
| ~ perp(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_58297,plain,
! [X0: $i] :
( eqangle(X0,sK0,X0,sK5,X0,sK0,X0,sK5)
| ~ para(X0,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_58299,plain,
( eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_58297]) ).
tcf(c_58390,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,X0,sK5,sK0,X1,X0,X1,sK0)
| ~ cyclic(X0,sK0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_58391,plain,
( eqangle(sK5,sK0,sK5,sK0,sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_58390]) ).
tcf(c_58848,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK5,X0,sK0)
| ~ coll(X0,sK0,sK5)
| ~ eqangle(X0,X1,X0,sK5,sK0,X1,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_58849,plain,
( cyclic(sK0,sK5,sK0,sK0)
| ~ coll(sK0,sK0,sK5)
| ~ eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_58848]) ).
tcf(c_59169,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK5,sK6,sK0,sK3,X0,X1)
| ~ eqangle(sK5,sK6,sK0,sK3,sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_55526]) ).
tcf(c_59176,plain,
( eqangle(sK5,sK6,sK5,sK6,sK0,sK3,sK0,sK0)
| ~ eqangle(sK5,sK6,sK0,sK3,sK5,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_59169]) ).
tcf(c_63202,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK0,sK5,X1)
| ~ cyclic(X0,sK5,sK0,X1) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_63203,plain,
( cyclic(sK0,sK0,sK5,sK0)
| ~ cyclic(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_63202]) ).
tcf(c_68201,plain,
! [X0: $i] :
( perp(sK0,sK5,sK5,X0)
| ~ perp(sK5,X0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_57612]) ).
tcf(c_68202,plain,
( perp(sK0,sK5,sK5,sK0)
| ~ perp(sK5,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_68201]) ).
tcf(c_68262,plain,
! [X0: $i] :
( perp(sK5,sK6,X0,sK5)
| ~ perp(sK5,sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_54894]) ).
tcf(c_68381,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK6,sK5,sK6)
| ~ perp(sK0,sK3,X0,X1)
| ~ eqangle(sK5,sK6,sK5,sK6,sK0,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_54887]) ).
tcf(c_68382,plain,
( perp(sK5,sK6,sK5,sK6)
| ~ perp(sK0,sK3,sK0,sK0)
| ~ eqangle(sK5,sK6,sK5,sK6,sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_68381]) ).
tcf(c_74513,plain,
( perp(sK5,sK6,sK6,sK5)
| ~ perp(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_68262]) ).
tcf(c_84210,plain,
! [X0: $i] :
( cong(sK5,X0,sK6,X0)
| ~ midp(X0,sK5,sK5)
| ~ perp(sK5,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_57570]) ).
tcf(c_84212,plain,
( cong(sK5,sK0,sK6,sK0)
| ~ midp(sK0,sK5,sK5)
| ~ perp(sK5,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_84210]) ).
tcf(c_84213,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_84212,c_74513,c_68382,c_68202,c_63203,c_59176,c_58849,c_58391,c_58299,c_56786,c_56517,c_56069,c_56063,c_56006,c_55416,c_55342,c_55212,c_47187,c_42043,c_41855,c_41157,c_40747,c_38847,c_38196,c_37152,c_35367,c_35275,c_35253,c_25786,c_12549,c_11489,c_11304,c_10974,c_8786,c_7939,c_7543,c_6306,c_6290,c_4732,c_4729,c_4279,c_3466,c_2632,c_2309,c_2268,c_158,c_155,c_51,c_49,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO577+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 12:26:57 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 31.42/5.33 % SZS status Started for theBenchmark.p
% 31.42/5.33 % SZS status Theorem for theBenchmark.p
% 31.42/5.33
% 31.42/5.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.42/5.33
% 31.42/5.33 % ------ iProver source info
% 31.42/5.33
% 31.42/5.33 % git: date: 2026-07-19 20:42:38 +0200
% 31.42/5.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.42/5.33 % git: non_committed_changes: false
% 31.42/5.33
% 31.42/5.33 % ------ Parsing...
% 31.42/5.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.42/5.33
% 31.42/5.33 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 31.42/5.33
% 31.42/5.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.42/5.33 % ------ Proving...
% 31.42/5.33 % ------ Problem Properties
% 31.42/5.33
% 31.42/5.33 %
% 31.42/5.33 % clauses 96
% 31.42/5.33 % conjectures 9
% 31.42/5.33 % EPR 63
% 31.42/5.33 % Horn 91
% 31.42/5.33 % unary 9
% 31.42/5.33 % binary 24
% 31.42/5.33 % lits 265
% 31.42/5.33 % lits eq 0
% 31.42/5.33 % fd_pure 0
% 31.42/5.33 % fd_pseudo 0
% 31.42/5.33 % fd_cond 0
% 31.42/5.33 % fd_pseudo_cond 0
% 31.42/5.33 % AC symbols 0
% 31.42/5.33
% 31.42/5.33 % ------ Schedule dynamic 5 is on
% 31.42/5.33
% 31.42/5.33 % ------ no equalities: superposition off
% 31.42/5.33
% 31.42/5.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.42/5.33
% 31.42/5.33
% 31.42/5.33 % ------
% 31.42/5.33 % Current options:
% 31.42/5.33 % ------
% 31.42/5.33
% 31.42/5.33
% 31.42/5.33 %
% 31.42/5.33
% 31.42/5.33 % ------ Proving...
% 31.42/5.33 %
% 31.42/5.33
% 31.42/5.33 % SZS status Theorem for theBenchmark.p
% 31.42/5.33
% 31.42/5.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.42/5.33
% 31.42/5.33
%------------------------------------------------------------------------------