%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:40 PM UTC 2026
% Result : Theorem 21.02s 5.04s
% Output : CNFRefutation 21.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 31
% Syntax : Number of formulae : 314 ( 37 unt; 0 def)
% Number of atoms : 778 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 854 ( 390 ~; 383 |; 48 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 900 ( 0 sgn 886 !; 14 ?; 304 :)
% 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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(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] :
( ( coll(X5,X0,X3)
& perp(X0,X4,X6,X5)
& midpoint(X6,X0,X4)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& circle(X3,X0,X1,X2) )
=> perp(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110985) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X5,X0,X3)
& perp(X0,X4,X6,X5)
& midpoint(X6,X0,X4)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& circle(X3,X0,X1,X2) )
=> perp(X4,X5,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X5,X0,X3)
& perp(X0,X4,X6,X5)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& circle(X3,X0,X1,X2) )
=> perp(X4,X5,X1,X2) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X5,X0,X3)
& perp(X0,X4,X6,X5)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& circle(X3,X0,X1,X2)
& ~ perp(X4,X5,X1,X2) ),
inference(ennf_transformation,[],[f98]) ).
fof(f100,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X5,X0,X3)
& perp(X0,X4,X6,X5)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& circle(X3,X0,X1,X2)
& ~ perp(X4,X5,X1,X2) ),
inference(flattening,[],[f99]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f138,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,[],[f137]) ).
fof(f143,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(f144,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f143]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f147]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
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(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f160]) ).
fof(f172,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(f173,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,[],[f172]) ).
fof(f175,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(f176,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(f177,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(f178,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,[],[f177]) ).
fof(f179,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(f180,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(f181,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(f182,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(f185,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(f186,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,[],[f185]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f189]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
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(ennf_transformation,[],[f44]) ).
fof(f208,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,[],[f207]) ).
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(ennf_transformation,[],[f43]) ).
fof(f210,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,[],[f209]) ).
fof(f221,plain,
( coll(sK5,sK0,sK3)
& perp(sK0,sK4,sK6,sK5)
& coll(sK4,sK1,sK2)
& eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1)
& circle(sK3,sK0,sK1,sK2)
& ~ perp(sK4,sK5,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f100]) ).
fof(f240,plain,
coll(sK5,sK0,sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f241,plain,
perp(sK0,sK4,sK6,sK5),
inference(cnf_transformation,[],[f221]) ).
fof(f242,plain,
coll(sK4,sK1,sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f243,plain,
eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1),
inference(cnf_transformation,[],[f221]) ).
fof(f244,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f245,plain,
~ perp(sK4,sK5,sK1,sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f279,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,[],[f138]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f286,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,[],[f152]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f298,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,[],[f173]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f175]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f302,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,[],[f178]) ).
fof(f303,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,[],[f179]) ).
fof(f304,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,[],[f180]) ).
fof(f305,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,[],[f181]) ).
fof(f306,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,[],[f182]) ).
fof(f310,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,[],[f186]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f325,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,[],[f208]) ).
fof(f326,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,[],[f210]) ).
tcf(c_49,negated_conjecture,
~ perp(sK4,sK5,sK1,sK2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_51,negated_conjecture,
eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK1,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_53,negated_conjecture,
perp(sK0,sK4,sK6,sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_54,negated_conjecture,
coll(sK5,sK0,sK3),
inference(cnf_transformation,[],[f240]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_88,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,[],[f279]) ).
tcf(c_91,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,[],[f282]) ).
tcf(c_93,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,[],[f284]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_95,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,[],[f286]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_107,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,[],[f298]) ).
tcf(c_109,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,[],[f300]) ).
tcf(c_110,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,[],[f301]) ).
tcf(c_111,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,[],[f302]) ).
tcf(c_112,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,[],[f303]) ).
tcf(c_113,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,[],[f304]) ).
tcf(c_114,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,[],[f305]) ).
tcf(c_115,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,[],[f306]) ).
tcf(c_119,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,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_134,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,[],[f325]) ).
tcf(c_135,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,[],[f326]) ).
tcf(c_149,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_152,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_156,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_194,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_134]) ).
tcf(c_765,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(resolution,[status(thm)],[c_50,c_101]) ).
tcf(c_2027,plain,
( coll(sK1,sK4,sK2)
| ~ coll(sK4,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2028,plain,
( coll(sK0,sK5,sK3)
| ~ coll(sK5,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2030,plain,
( coll(sK5,sK3,sK0)
| ~ coll(sK5,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2031,plain,
( perp(sK6,sK5,sK0,sK4)
| ~ perp(sK0,sK4,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2074,plain,
( eqangle(sK4,sK0,sK0,sK1,sK4,sK0,sK0,sK2)
| ~ eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2075,plain,
( eqangle(sK0,sK2,sK4,sK0,sK0,sK1,sK4,sK0)
| ~ eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK1)
| ~ eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1)
| ~ eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2119,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK4,sK2)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2122,plain,
( coll(sK2,sK0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2119]) ).
tcf(c_2146,plain,
! [X0: $i] :
( coll(sK3,X0,sK0)
| ~ coll(sK0,sK5,sK3)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2200,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK3,sK0)
| ~ coll(sK5,sK3,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2203,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_2200]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK6,sK5,sK0,sK4)
| ~ perp(sK0,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2297,plain,
( para(sK0,sK2,sK0,sK1)
| ~ eqangle(sK0,sK2,sK4,sK0,sK0,sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2306,plain,
( eqangle(sK4,sK0,sK0,sK1,sK4,sK0,sK0,sK1)
| ~ eqangle(sK4,sK0,sK0,sK2,sK4,sK0,sK0,sK1)
| ~ eqangle(sK4,sK0,sK0,sK1,sK4,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2103]) ).
tcf(c_2608,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,X0,X1,sK0,sK1,X0,X1)
| ~ para(sK0,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2609,plain,
( eqangle(sK0,sK2,sK0,sK0,sK0,sK1,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2608]) ).
tcf(c_2634,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_2662,plain,
( para(sK4,sK0,sK4,sK0)
| ~ eqangle(sK4,sK0,sK0,sK1,sK4,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2671,plain,
coll(sK1,sK2,sK4),
inference(superposition,[status(thm)],[c_2634,c_83]) ).
tcf(c_2694,plain,
! [X0: $i,X1: $i] :
( coll(sK5,X1,sK0)
| ~ coll(sK0,X0,sK5)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2695,plain,
! [X0: $i] :
( coll(sK0,sK5,X0)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2697,plain,
( coll(sK0,sK5,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_2695]) ).
tcf(c_2757,plain,
( para(sK6,sK5,sK6,sK5)
| ~ perp(sK6,sK5,sK0,sK4)
| ~ perp(sK0,sK4,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2219]) ).
tcf(c_2809,plain,
perp(sK6,sK5,sK0,sK4),
inference(superposition,[status(thm)],[c_53,c_96]) ).
tcf(c_2834,plain,
perp(sK6,sK5,sK4,sK0),
inference(superposition,[status(thm)],[c_2809,c_97]) ).
tcf(c_2916,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2917,plain,
( eqangle(sK6,sK5,sK0,sK0,sK6,sK5,sK0,sK0)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2916]) ).
tcf(c_2919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK6,sK5,sK6,sK5)
| ~ eqangle(X0,X1,X2,X3,sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2920,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK6,sK5,sK6,sK5)
| ~ eqangle(sK0,sK0,sK0,sK0,sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2919]) ).
tcf(c_3240,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_2671,c_81]) ).
tcf(c_3748,plain,
! [X0: $i] :
( coll(sK3,sK0,X0)
| ~ coll(sK3,X0,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3777,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK5,sK3)
| ~ coll(sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2146]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK0)
| ~ coll(sK0,sK5,X1)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4057,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_4053]) ).
tcf(c_4275,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4278,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK4,X1)
| ~ coll(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4381,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK4,X0)
| ~ coll(X0,X1,sK4)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4774,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_2671,c_3240]) ).
tcf(c_4791,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4774,c_81]) ).
tcf(c_4796,plain,
( coll(sK1,sK0,sK4)
| ~ coll(sK4,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_4791]) ).
tcf(c_5023,plain,
( coll(sK4,sK0,sK0)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_5277,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,sK0,sK1,X0,X1,X0,X1)
| ~ eqangle(sK0,sK2,X0,X1,sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_5278,plain,
( eqangle(sK0,sK2,sK0,sK1,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK0,sK0,sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5277]) ).
tcf(c_5579,plain,
! [X0: $i] :
( coll(sK5,sK2,sK0)
| ~ coll(sK0,X0,sK2)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_2694]) ).
tcf(c_5581,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_5579]) ).
tcf(c_5633,plain,
! [X0: $i] :
( coll(sK5,sK4,sK0)
| ~ coll(sK0,X0,sK5)
| ~ coll(sK0,X0,sK4) ),
inference(instantiation,[status(thm)],[c_2694]) ).
tcf(c_5635,plain,
( coll(sK5,sK4,sK0)
| ~ coll(sK0,sK0,sK5)
| ~ coll(sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_5633]) ).
tcf(c_6237,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK4)
| ~ coll(sK4,X0,X2)
| ~ coll(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_6238,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6237]) ).
tcf(c_6270,plain,
( coll(sK5,sK0,sK2)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_6306,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK6,sK5,X0,X1,sK6,sK5)
| ~ eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_6310,plain,
( eqangle(sK0,sK0,sK6,sK5,sK0,sK0,sK6,sK5)
| ~ eqangle(sK6,sK5,sK0,sK0,sK6,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6306]) ).
tcf(c_6376,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK4,X0,X1)
| ~ perp(sK6,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_95]) ).
tcf(c_6674,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_3748]) ).
tcf(c_7058,plain,
para(sK0,sK4,sK0,sK4),
inference(superposition,[status(thm)],[c_2809,c_6376]) ).
tcf(c_7059,plain,
para(sK0,sK4,sK4,sK0),
inference(superposition,[status(thm)],[c_2834,c_6376]) ).
tcf(c_7107,plain,
( coll(sK0,sK5,sK2)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_7244,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_4278]) ).
tcf(c_7245,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_7244]) ).
tcf(c_7674,plain,
! [X0: $i,X1: $i] :
( coll(sK4,sK4,X0)
| ~ coll(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_4381]) ).
tcf(c_7675,plain,
( coll(sK4,sK4,sK0)
| ~ coll(sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_7674]) ).
tcf(c_8042,plain,
! [X0: $i] :
( coll(sK2,sK1,X0)
| ~ coll(sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_4275]) ).
tcf(c_8043,plain,
( coll(sK2,sK1,sK0)
| ~ coll(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_8042]) ).
tcf(c_9253,plain,
eqangle(sK4,sK0,sK4,sK0,sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_112]) ).
tcf(c_9265,plain,
eqangle(sK4,sK0,sK4,sK0,sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_112]) ).
tcf(c_9417,plain,
eqangle(sK0,sK2,sK4,sK0,sK0,sK1,sK4,sK0),
inference(superposition,[status(thm)],[c_51,c_114]) ).
tcf(c_9618,plain,
eqangle(sK0,sK4,sK4,sK0,sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_9253,c_115]) ).
tcf(c_9622,plain,
eqangle(sK0,sK4,sK4,sK0,sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_9265,c_115]) ).
tcf(c_9671,plain,
para(sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_9417,c_110]) ).
tcf(c_9734,plain,
coll(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_9671,c_78]) ).
tcf(c_10249,plain,
coll(sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_9734,c_82]) ).
tcf(c_10309,plain,
coll(sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_10249,c_83]) ).
tcf(c_11686,plain,
! [X0: $i] :
( midp(sK4,X0,sK0)
| ~ midp(sK0,X0,sK4)
| ~ coll(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_7059,c_80]) ).
tcf(c_11726,plain,
( midp(sK4,sK0,sK0)
| ~ midp(sK0,sK0,sK4)
| ~ coll(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11686]) ).
tcf(c_11989,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_10309,c_81]) ).
tcf(c_11994,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_11989]) ).
tcf(c_12827,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ perp(sK0,sK1,sK1,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_13258,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_109,c_135]) ).
tcf(c_13270,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13258]) ).
tcf(c_15144,plain,
( perp(sK0,sK4,sK4,sK0)
| ~ perp(sK0,sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_9618,c_88]) ).
tcf(c_15203,plain,
( perp(sK0,sK4,sK4,sK0)
| ~ perp(sK0,sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_9622,c_88]) ).
tcf(c_15715,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK6,sK5,sK6,sK5)
| ~ eqangle(X0,X1,sK6,sK5,X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_15716,plain,
( eqangle(sK0,sK0,sK0,sK0,sK6,sK5,sK6,sK5)
| ~ eqangle(sK0,sK0,sK6,sK5,sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_15715]) ).
tcf(c_16124,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK4)
| ~ perp(X0,sK4,X1,X0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_16125,plain,
( perp(sK0,sK0,sK0,sK4)
| ~ perp(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_16124]) ).
tcf(c_17353,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK4,sK0,sK4) ),
inference(superposition,[status(thm)],[c_7058,c_119]) ).
tcf(c_17385,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17353,c_7058]) ).
tcf(c_17418,plain,
( midp(sK0,sK4,sK4)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_17385]) ).
tcf(c_17943,plain,
! [X0: $i,X1: $i] :
( perp(sK4,sK5,sK1,sK2)
| ~ para(sK4,sK5,X0,X1)
| ~ perp(X0,X1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_19265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK4)
| ~ perp(X2,X3,sK0,sK4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_19266,plain,
( para(sK0,sK0,sK0,sK4)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_19265]) ).
tcf(c_19273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK4,X3,sK1)
| ~ perp(X1,X2,X3,sK1)
| ~ perp(X0,sK4,X1,X2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_19274,plain,
( para(sK0,sK4,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_19273]) ).
tcf(c_21675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK4,X2,X3)
| ~ perp(sK0,sK4,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_21678,plain,
( para(sK0,sK4,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21675]) ).
tcf(c_24049,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,sK0,sK4)
| ~ midp(X2,X1,sK0)
| ~ midp(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_24059,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK5,X2,sK0)
| ~ midp(sK5,X1,sK0)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_24060,plain,
( para(sK0,sK5,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_24059]) ).
tcf(c_24784,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_24785,plain,
( perp(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_24784]) ).
tcf(c_24787,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK4,X0,X1)
| ~ cong(sK0,X1,sK4,X1)
| ~ cong(sK0,X0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_24788,plain,
( perp(sK0,sK4,sK0,sK0)
| ~ cong(sK0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_24787]) ).
tcf(c_26299,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK4)
| ~ midp(X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_26873,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK1)
| ~ midp(X0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_26874,plain,
( cong(sK0,sK1,sK0,sK1)
| ~ midp(sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_26873]) ).
tcf(c_27135,plain,
coll(sK5,sK3,sK0),
inference(superposition,[status(thm)],[c_54,c_83]) ).
tcf(c_27371,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_125,c_128]) ).
tcf(c_27452,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_27371,c_127]) ).
tcf(c_27503,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_27452,c_128]) ).
tcf(c_27617,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_27135,c_81]) ).
tcf(c_27676,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_27503,c_77]) ).
tcf(c_28013,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_27135,c_27617]) ).
tcf(c_28023,plain,
coll(sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_28013,c_83]) ).
tcf(c_28114,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_101]) ).
tcf(c_28256,plain,
perp(sK0,sK1,sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_28114,c_54,c_52,c_51,c_765,c_2027,c_2028,c_2030,c_2074,c_2122,c_2203,c_2306,c_2662,c_3777,c_4796,c_5023,c_5581,c_6238,c_6270,c_6674,c_7107,c_7245,c_7675,c_8043,c_11994]) ).
tcf(c_28261,plain,
perp(sK1,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_28256,c_96]) ).
tcf(c_28487,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK1,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_28256,c_95]) ).
tcf(c_29141,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_28261,c_28487]) ).
tcf(c_31836,plain,
coll(sK5,sK0,sK0),
inference(superposition,[status(thm)],[c_28023,c_82]) ).
tcf(c_32999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK4,X3)
| ~ midp(X0,sK4,X2)
| ~ coll(X1,sK4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_33029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK4)
| ~ coll(X1,X3,sK4)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_33030,plain,
( midp(sK0,sK0,sK4)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ para(sK0,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_33029]) ).
tcf(c_36126,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_29141,c_119]) ).
tcf(c_36135,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36126,c_29141]) ).
tcf(c_36138,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36135]) ).
tcf(c_38180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK4,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_38181,plain,
( midp(sK0,sK4,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38180]) ).
tcf(c_38457,plain,
( perp(sK0,sK4,sK1,sK2)
| ~ para(sK0,sK4,sK0,sK1)
| ~ perp(sK0,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_12827]) ).
tcf(c_40957,plain,
( midp(sK5,sK0,sK0)
| ~ midp(sK0,sK5,sK5) ),
inference(superposition,[status(thm)],[c_31836,c_27676]) ).
tcf(c_41205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK2,sK0,sK1)
| ~ perp(X0,X1,X2,X3)
| ~ eqangle(sK0,sK2,sK0,sK1,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_41208,plain,
( perp(sK0,sK2,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK0,sK1,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_41205]) ).
tcf(c_41905,plain,
perp(sK0,sK4,sK4,sK0),
inference(global_subsumption_just,[status(thm)],[c_15203,c_54,c_53,c_51,c_149,c_156,c_194,c_2030,c_2031,c_2075,c_2203,c_2297,c_2609,c_2697,c_2757,c_2917,c_2920,c_4057,c_5278,c_6310,c_13270,c_15144,c_15716,c_41208]) ).
tcf(c_41914,plain,
! [X0: $i] :
( cong(sK0,X0,sK4,X0)
| ~ midp(X0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_41905,c_93]) ).
tcf(c_41938,plain,
( cong(sK0,sK0,sK4,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_41914]) ).
tcf(c_43935,plain,
( perp(sK4,sK5,sK1,sK2)
| ~ para(sK4,sK5,sK0,sK4)
| ~ perp(sK0,sK4,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_17943]) ).
tcf(c_45130,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK5,sK4,X2)
| ~ coll(sK5,sK4,X2)
| ~ midp(X0,sK4,X1)
| ~ para(X0,sK5,X1,X2) ),
inference(instantiation,[status(thm)],[c_32999]) ).
tcf(c_45133,plain,
( midp(sK5,sK4,sK0)
| ~ midp(sK0,sK4,sK0)
| ~ coll(sK5,sK4,sK0)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_45130]) ).
tcf(c_46693,plain,
! [X0: $i] :
( para(sK4,sK5,sK0,sK4)
| ~ midp(sK5,X0,sK4)
| ~ midp(sK4,X0,sK0) ),
inference(instantiation,[status(thm)],[c_24049]) ).
tcf(c_46694,plain,
( para(sK4,sK5,sK0,sK4)
| ~ midp(sK5,sK0,sK4)
| ~ midp(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_46693]) ).
tcf(c_49697,plain,
! [X0: $i] :
( midp(sK5,X0,sK4)
| ~ midp(sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_26299]) ).
tcf(c_49700,plain,
( midp(sK5,sK0,sK4)
| ~ midp(sK5,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_49697]) ).
tcf(c_49898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,sK5,X2,X3)
| ~ eqangle(sK4,sK5,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_50108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK5,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_50143,plain,
! [X0: $i] :
( para(sK4,sK5,sK4,sK5)
| ~ eqangle(sK4,sK5,sK4,X0,sK4,sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_49898]) ).
tcf(c_50145,plain,
( para(sK4,sK5,sK4,sK5)
| ~ eqangle(sK4,sK5,sK4,sK0,sK4,sK5,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_50143]) ).
tcf(c_50157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK4,sK5,X0,X1,X2,X3,X0,X1)
| ~ eqangle(X0,X1,sK4,sK5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_51926,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK5,sK4,X0,sK4,X1,sK4,X0)
| ~ eqangle(sK4,X0,sK4,sK5,sK4,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_50157]) ).
tcf(c_51932,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK4,sK5,X0,X1,sK4,sK5)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_56776,plain,
! [X0: $i] :
( eqangle(sK4,X0,sK4,sK5,sK4,X0,sK4,sK5)
| ~ para(sK4,X0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_51932]) ).
tcf(c_56777,plain,
! [X0: $i] :
( eqangle(sK4,sK5,sK4,X0,sK4,sK5,sK4,X0)
| ~ eqangle(sK4,X0,sK4,sK5,sK4,X0,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_51926]) ).
tcf(c_56778,plain,
( eqangle(sK4,sK0,sK4,sK5,sK4,sK0,sK4,sK5)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_56776]) ).
tcf(c_56779,plain,
( eqangle(sK4,sK5,sK4,sK0,sK4,sK5,sK4,sK0)
| ~ eqangle(sK4,sK0,sK4,sK5,sK4,sK0,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_56777]) ).
tcf(c_58049,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK4,sK4)
| ~ para(sK4,sK5,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_50108]) ).
tcf(c_58050,plain,
( midp(sK0,sK5,sK5)
| ~ midp(sK0,sK4,sK4)
| ~ para(sK4,sK5,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_58049]) ).
tcf(c_58051,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_58050,c_56779,c_56778,c_50145,c_49700,c_46694,c_45133,c_43935,c_41938,c_40957,c_38457,c_38181,c_36138,c_33030,c_26874,c_24788,c_24785,c_24060,c_21678,c_19274,c_19266,c_17418,c_16125,c_15716,c_13270,c_11994,c_11726,c_8043,c_7675,c_7245,c_7107,c_6674,c_6310,c_6270,c_6238,c_5635,c_5581,c_5023,c_4796,c_4057,c_3777,c_2920,c_2917,c_2757,c_2697,c_2662,c_2306,c_2203,c_2122,c_2074,c_2031,c_2030,c_2028,c_2027,c_765,c_194,c_156,c_152,c_149,c_51,c_49,c_53,c_52,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.57 % Computer : n018.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Wed Sep 23 12:37:19 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.61 Running first-order theorem proving
% 0.11/0.61 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
% 0.11/0.62
% 0.11/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.62
% 0.11/0.62 % Detected problem language: tptp
% 0.13/0.63 % Proving...
% 21.02/5.04 % SZS status Started for theBenchmark.p
% 21.02/5.04 % SZS status Theorem for theBenchmark.p
% 21.02/5.04
% 21.02/5.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.02/5.04
% 21.02/5.04 % ------ iProver source info
% 21.02/5.04
% 21.02/5.04 % git: date: 2026-07-19 20:42:38 +0200
% 21.02/5.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.02/5.04 % git: non_committed_changes: false
% 21.02/5.04
% 21.02/5.04 % ------ Parsing...
% 21.02/5.04 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.02/5.04
% 21.02/5.04 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 21.02/5.04
% 21.02/5.04 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 21.02/5.04 % ------ Proving...
% 21.02/5.04 % ------ Problem Properties
% 21.02/5.04
% 21.02/5.04 %
% 21.02/5.04 % clauses 93
% 21.02/5.04 % conjectures 6
% 21.02/5.04 % EPR 60
% 21.02/5.04 % Horn 88
% 21.02/5.04 % unary 6
% 21.02/5.04 % binary 24
% 21.02/5.04 % lits 262
% 21.02/5.04 % lits eq 0
% 21.02/5.04 % fd_pure 0
% 21.02/5.04 % fd_pseudo 0
% 21.02/5.04 % fd_cond 0
% 21.02/5.04 % fd_pseudo_cond 0
% 21.02/5.04 % AC symbols 0
% 21.02/5.04
% 21.02/5.04 % ------ Schedule dynamic 5 is on
% 21.02/5.04
% 21.02/5.04 % ------ no equalities: superposition off
% 21.02/5.04
% 21.02/5.04 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.02/5.04
% 21.02/5.04
% 21.02/5.04 % ------
% 21.02/5.04 % Current options:
% 21.02/5.04 % ------
% 21.02/5.04
% 21.02/5.04
% 21.02/5.04 %
% 21.02/5.04
% 21.02/5.04 % ------ Proving...
% 21.02/5.04 %
% 21.02/5.04
% 21.02/5.04 % SZS status Theorem for theBenchmark.p
% 21.02/5.04
% 21.02/5.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.02/5.05
% 21.02/5.05
%------------------------------------------------------------------------------