%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO557+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 : n026.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 01:21:28 PM UTC 2026
% Result : Theorem 62.17s 15.87s
% Output : CNFRefutation 62.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 34
% Syntax : Number of formulae : 339 ( 20 unt; 0 def)
% Number of atoms : 905 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1039 ( 473 ~; 467 |; 64 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 942 ( 0 sgn 913 !; 29 ?; 312 :)
% 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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(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(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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> cyclic(X8,X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012017) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> cyclic(X8,X2,X3,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ cyclic(X8,X2,X3,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ cyclic(X8,X2,X3,X1) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f104]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f137]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f145]) ).
fof(f155,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(f156,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,[],[f155]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f167]) ).
fof(f179,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(f180,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,[],[f179]) ).
fof(f185,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(f186,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(f189,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(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f197,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(f198,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,[],[f197]) ).
fof(f199,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(f200,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f199]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f209,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(f210,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f216,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(f217,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(f219,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(f220,plain,
( circle(sK7,sK2,sK8,sK11)
& circle(sK6,sK0,sK8,sK10)
& circle(sK7,sK2,sK4,sK5)
& circle(sK6,sK0,sK1,sK5)
& coll(sK5,sK1,sK4)
& coll(sK5,sK0,sK2)
& circle(sK3,sK0,sK4,sK9)
& circle(sK3,sK0,sK1,sK2)
& ~ cyclic(sK8,sK2,sK3,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK14(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK14(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X5,sK14(X0,X1,X2,X3,X4))],[f105]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK25(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X4,sK25(X0,X1,X2,X3))],[f136]) ).
fof(f240,plain,
circle(sK6,sK0,sK8,sK10),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
circle(sK6,sK0,sK1,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ cyclic(sK8,sK2,sK3,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK14(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f223]) ).
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(f273,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(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(f279,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK25(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f290,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,[],[f156]) ).
fof(f291,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,[],[f158]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f308,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,[],[f180]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f185]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f314,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,[],[f190]) ).
fof(f315,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,[],[f192]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f319,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,[],[f198]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f204]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f327,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,[],[f210]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f212]) ).
fof(f332,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,[],[f216]) ).
fof(f333,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,[],[f217]) ).
fof(f335,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,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cyclic(sK8,sK2,sK3,sK1),
inference(cnf_transformation,[],[f247]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_52,negated_conjecture,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_54,negated_conjecture,
circle(sK6,sK0,sK1,sK5),
inference(cnf_transformation,[],[f242]) ).
tcf(c_56,negated_conjecture,
circle(sK6,sK0,sK8,sK10),
inference(cnf_transformation,[],[f240]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK14(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f252]) ).
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_83,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,[],[f273]) ).
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_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK25(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,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,[],[f280]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_125,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,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,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,[],[f320]) ).
tcf(c_132,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,[],[f322]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_145,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,[],[f335]) ).
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_157,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_802,plain,
perp(sK25(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_89]) ).
tcf(c_894,plain,
perp(sK25(sK0,sK1,sK5,sK6),sK0,sK0,sK6),
inference(resolution,[status(thm)],[c_54,c_89]) ).
tcf(c_2600,plain,
( coll(sK0,sK5,sK2)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2602,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2686,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK5,sK2)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2689,plain,
( coll(sK2,sK0,sK0)
| ~ coll(sK0,sK5,sK0)
| ~ coll(sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2686]) ).
tcf(c_2740,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK2,sK0)
| ~ coll(sK5,sK2,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2742,plain,
( coll(sK2,sK5,sK0)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2743,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2740]) ).
tcf(c_2783,plain,
( perp(sK25(sK0,sK1,sK2,sK3),sK0,sK3,sK0)
| ~ perp(sK25(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_2784,plain,
( perp(sK0,sK3,sK25(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK25(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2815,plain,
( perp(sK25(sK0,sK1,sK5,sK6),sK0,sK6,sK0)
| ~ perp(sK25(sK0,sK1,sK5,sK6),sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_2816,plain,
( perp(sK0,sK6,sK25(sK0,sK1,sK5,sK6),sK0)
| ~ perp(sK25(sK0,sK1,sK5,sK6),sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_3187,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK5,sK0)
| ~ coll(sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3190,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3187]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK3,sK25(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK25(sK0,sK1,sK2,sK3),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_3297,plain,
coll(sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_52,c_86]) ).
tcf(c_3335,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK6,X0,X1)
| ~ perp(sK0,sK6,sK25(sK0,sK1,sK5,sK6),sK0)
| ~ perp(sK25(sK0,sK1,sK5,sK6),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_3368,plain,
! [X0: $i] :
( coll(sK0,sK5,X0)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3370,plain,
( coll(sK0,sK5,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_3368]) ).
tcf(c_3374,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK0,X2,sK5)
| ~ coll(sK0,X2,sK5)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3375,plain,
( midp(sK0,sK0,sK5)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK5)
| ~ para(sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_3374]) ).
tcf(c_3781,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_3297,c_84]) ).
tcf(c_4423,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_3297,c_3781]) ).
tcf(c_4556,plain,
coll(sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_4423,c_86]) ).
tcf(c_4770,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_4556,c_84]) ).
tcf(c_4776,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_4770]) ).
tcf(c_5032,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_90]) ).
tcf(c_5034,plain,
( perp(sK0,sK1,sK1,sK5)
| ~ coll(sK6,sK0,sK5) ),
inference(superposition,[status(thm)],[c_54,c_90]) ).
tcf(c_5036,plain,
( perp(sK0,sK8,sK8,sK10)
| ~ coll(sK6,sK0,sK10) ),
inference(superposition,[status(thm)],[c_56,c_90]) ).
tcf(c_5060,plain,
( perp(sK0,sK8,sK8,sK10)
| ~ coll(sK6,sK0,sK10) ),
inference(superposition,[status(thm)],[c_56,c_90]) ).
tcf(c_5282,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5032,c_134]) ).
tcf(c_5416,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ coll(sK6,sK0,sK5)
| ~ midp(X0,sK0,sK5) ),
inference(superposition,[status(thm)],[c_5034,c_132]) ).
tcf(c_5418,plain,
( perp(sK0,sK1,sK5,sK1)
| ~ coll(sK6,sK0,sK5) ),
inference(superposition,[status(thm)],[c_5034,c_134]) ).
tcf(c_5564,plain,
! [X0: $i] :
( cong(sK0,X0,sK8,X0)
| ~ coll(sK6,sK0,sK10)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_5036,c_132]) ).
tcf(c_5566,plain,
( perp(sK0,sK8,sK10,sK8)
| ~ coll(sK6,sK0,sK10) ),
inference(superposition,[status(thm)],[c_5036,c_134]) ).
tcf(c_5583,plain,
! [X0: $i] :
( cong(sK0,X0,sK8,X0)
| ~ coll(sK6,sK0,sK10)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_5060,c_132]) ).
tcf(c_7228,plain,
( para(sK0,sK3,sK0,sK3)
| ~ perp(sK0,sK3,sK25(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK25(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_7229,plain,
( para(sK0,sK3,sK3,sK0)
| ~ perp(sK0,sK3,sK25(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK25(sK0,sK1,sK2,sK3),sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_7236,plain,
( para(sK0,sK6,sK0,sK6)
| ~ perp(sK0,sK6,sK25(sK0,sK1,sK5,sK6),sK0)
| ~ perp(sK25(sK0,sK1,sK5,sK6),sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_3335]) ).
tcf(c_7237,plain,
( para(sK0,sK6,sK6,sK0)
| ~ perp(sK0,sK6,sK25(sK0,sK1,sK5,sK6),sK0)
| ~ perp(sK25(sK0,sK1,sK5,sK6),sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3335]) ).
tcf(c_7547,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7602,plain,
( coll(sK6,sK0,sK10)
| ~ coll(sK6,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_8323,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK1)
| ~ coll(sK6,sK0,sK5)
| ~ midp(X0,sK0,sK5) ),
inference(superposition,[status(thm)],[c_5416,c_139]) ).
tcf(c_8340,plain,
( cong(sK0,sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK5)
| ~ coll(sK6,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_8323]) ).
tcf(c_8392,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK6,X2,X0)
| ~ coll(X0,X1,sK6)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_9151,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK8)
| ~ coll(sK6,sK0,sK10)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_5564,c_139]) ).
tcf(c_9178,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK8)
| ~ coll(sK6,sK0,sK10)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_5583,c_139]) ).
tcf(c_9428,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ para(sK0,sK3,sK3,sK0)
| ~ para(sK3,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_9432,plain,
( para(sK3,sK0,sK0,sK3)
| ~ para(sK0,sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_9435,plain,
( para(sK0,sK3,sK0,sK0)
| ~ para(sK0,sK3,sK3,sK0)
| ~ para(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_9428]) ).
tcf(c_9453,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK6,X0,X1)
| ~ para(sK0,sK6,sK6,sK0)
| ~ para(sK6,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_9460,plain,
( para(sK0,sK6,sK0,sK0)
| ~ para(sK6,sK0,sK0,sK0)
| ~ para(sK0,sK6,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_9453]) ).
tcf(c_11490,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ perp(sK0,X0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_11491,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_11490]) ).
tcf(c_11492,plain,
! [X0: $i] :
( perp(sK6,sK0,sK0,X0)
| ~ perp(sK0,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_11493,plain,
( perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_11492]) ).
tcf(c_11639,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK5)
| ~ perp(X0,X1,sK5,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_11640,plain,
( perp(sK0,sK0,sK0,sK5)
| ~ perp(sK0,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_11639]) ).
tcf(c_11652,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK2)
| ~ perp(X0,X1,sK2,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_11653,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_11652]) ).
tcf(c_12038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK0,X3,sK5)
| ~ perp(X1,X2,X3,sK5)
| ~ perp(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_12039,plain,
( para(sK0,sK0,sK0,sK5)
| ~ perp(sK0,sK0,sK0,sK5)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12038]) ).
tcf(c_12040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK0,X3,sK2)
| ~ perp(X1,X2,X3,sK2)
| ~ perp(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_12041,plain,
( para(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_12040]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_12340,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_12339]) ).
tcf(c_12356,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_121,c_101]) ).
tcf(c_12367,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12356]) ).
tcf(c_13519,plain,
! [X0: $i,X1: $i] :
( perp(sK14(sK0,sK2,sK1,X0,X1),sK0,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ coll(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_5032,c_63]) ).
tcf(c_13551,plain,
( perp(sK14(sK0,sK2,sK1,sK0,sK0),sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13519]) ).
tcf(c_14064,plain,
! [X0: $i] :
( coll(sK10,X0,sK0)
| ~ para(sK10,X0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_14065,plain,
( coll(sK10,sK0,sK0)
| ~ para(sK10,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_14064]) ).
tcf(c_14095,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK14(sK0,sK2,sK1,X0,X1),sK0)
| ~ coll(sK3,sK0,sK2)
| ~ coll(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_13519,c_133]) ).
tcf(c_14122,plain,
( perp(sK0,sK0,sK14(sK0,sK2,sK1,sK0,sK0),sK0)
| ~ coll(sK3,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14095]) ).
tcf(c_15845,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_15847,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK5,sK0,sK5,sK1)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_94]) ).
tcf(c_15849,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK8,sK10,sK0,sK10,sK8)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_56,c_94]) ).
tcf(c_15874,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_16697,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15845,c_145]) ).
tcf(c_16700,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK2,sK0,sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15845,c_142]) ).
tcf(c_16726,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15874,c_145]) ).
tcf(c_17108,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK5,sK0,sK0,sK1,sK5,sK1)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15847,c_142]) ).
tcf(c_17348,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK10,sK0,sK0,sK8,sK10,sK8)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_15849,c_142]) ).
tcf(c_17597,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16697,c_93]) ).
tcf(c_17617,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16726,c_93]) ).
tcf(c_18170,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK3)
| ~ coll(sK3,X0,sK0)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_18171,plain,
( coll(sK0,sK0,sK3)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_18170]) ).
tcf(c_19382,plain,
! [X0: $i] :
( perp(sK0,X0,sK2,sK0)
| ~ perp(sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16700,c_129]) ).
tcf(c_19395,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ perp(sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_19382]) ).
tcf(c_21649,plain,
! [X0: $i] :
( perp(sK0,X0,sK5,sK0)
| ~ perp(sK0,sK1,sK5,sK1)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_17108,c_129]) ).
tcf(c_21662,plain,
( perp(sK0,sK0,sK5,sK0)
| ~ perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_21649]) ).
tcf(c_23639,plain,
! [X0: $i] :
( perp(sK0,X0,sK10,sK0)
| ~ perp(sK0,sK8,sK10,sK8)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_17348,c_129]) ).
tcf(c_23652,plain,
( perp(sK0,sK0,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_23639]) ).
tcf(c_27901,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK6,X1)
| ~ para(X0,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_27902,plain,
( coll(sK0,sK6,sK0)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_27901]) ).
tcf(c_29946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X1)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_121,c_100]) ).
tcf(c_30140,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_29946]) ).
tcf(c_40776,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK10)
| ~ coll(sK10,X0,sK0)
| ~ coll(sK10,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_40777,plain,
( coll(sK0,sK0,sK10)
| ~ coll(sK10,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_40776]) ).
tcf(c_44490,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK6)
| ~ coll(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_44491,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_44490]) ).
tcf(c_44705,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK0,X1,X2)
| ~ perp(X0,sK0,sK14(sK0,sK2,sK1,X0,sK0),sK0)
| ~ perp(sK14(sK0,sK2,sK1,X0,sK0),sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_44710,plain,
( para(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK14(sK0,sK2,sK1,sK0,sK0),sK0)
| ~ perp(sK14(sK0,sK2,sK1,sK0,sK0),sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_44705]) ).
tcf(c_47068,plain,
! [X0: $i] :
( coll(sK6,sK10,sK0)
| ~ coll(sK0,X0,sK10)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_8392]) ).
tcf(c_47069,plain,
( coll(sK6,sK10,sK0)
| ~ coll(sK0,sK0,sK10)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_47068]) ).
tcf(c_48702,plain,
! [X0: $i] :
( coll(sK3,sK2,sK0)
| ~ coll(sK0,X0,sK3)
| ~ coll(sK0,X0,sK2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_48703,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK0,sK3)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_48702]) ).
tcf(c_49038,plain,
( coll(sK6,sK0,sK5)
| ~ coll(sK6,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_50413,plain,
! [X0: $i] :
( coll(sK6,sK5,sK0)
| ~ coll(sK0,X0,sK6)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_50414,plain,
( coll(sK6,sK5,sK0)
| ~ coll(sK0,sK0,sK6)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_50413]) ).
tcf(c_55633,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X1,X2,sK10)
| ~ perp(X0,X1,sK10,X2) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_55634,plain,
( perp(sK0,sK0,sK0,sK10)
| ~ perp(sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_55633]) ).
tcf(c_56184,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,sK10,X1,X0,X2,sK10,X1)
| ~ para(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_56185,plain,
( eqangle(sK0,sK0,sK10,sK0,sK0,sK0,sK10,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_56184]) ).
tcf(c_56256,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK10,X0,sK10,sK0)
| ~ eqangle(sK10,X0,X1,X2,sK10,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_56257,plain,
( para(sK10,sK0,sK10,sK0)
| ~ eqangle(sK10,sK0,sK0,sK0,sK10,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_56256]) ).
tcf(c_56431,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK3,X1)
| ~ para(sK3,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_56432,plain,
( para(sK3,sK0,sK3,sK0)
| ~ para(sK3,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_56431]) ).
tcf(c_56753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X0,sK10)
| ~ perp(X2,X3,X0,sK10)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_56754,plain,
( para(sK0,sK0,sK0,sK10)
| ~ perp(sK0,sK0,sK0,sK10)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_56753]) ).
tcf(c_57168,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK10,sK0,X1,sK0,sK10,X0,X1,X2)
| ~ eqangle(sK10,sK0,sK10,X0,X1,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_57169,plain,
( eqangle(sK10,sK0,sK0,sK0,sK10,sK0,sK0,sK0)
| ~ eqangle(sK10,sK0,sK10,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_57168]) ).
tcf(c_57286,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK10,X1,sK10,X2)
| ~ eqangle(X0,X1,sK10,X1,X0,X2,sK10,X2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_57287,plain,
( eqangle(sK0,sK0,sK0,sK0,sK10,sK0,sK10,sK0)
| ~ eqangle(sK0,sK0,sK10,sK0,sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_57286]) ).
tcf(c_57574,plain,
! [X0: $i,X1: $i] :
( eqangle(sK10,sK0,sK10,X1,X0,sK0,X0,X1)
| ~ eqangle(X0,sK0,X0,X1,sK10,sK0,sK10,X1) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_57575,plain,
( eqangle(sK10,sK0,sK10,sK0,sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK10,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_57574]) ).
tcf(c_59771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,sK0,X2,X3)
| ~ perp(sK3,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_59774,plain,
( para(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_59771]) ).
tcf(c_59781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK6,sK0,X2,X3)
| ~ perp(sK6,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_59784,plain,
( para(sK6,sK0,sK0,sK0)
| ~ perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_59781]) ).
tcf(c_63346,plain,
( cong(sK0,sK3,sK0,sK3)
| ~ midp(sK0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_63351,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_63933,plain,
! [X0: $i] :
( perp(sK0,X0,sK3,sK0)
| ~ cong(sK0,sK0,X0,sK0)
| ~ cong(sK0,sK3,X0,sK3) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_63934,plain,
( perp(sK0,sK0,sK3,sK0)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK3,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_63933]) ).
tcf(c_63935,plain,
! [X0: $i] :
( perp(sK0,X0,sK6,sK0)
| ~ cong(sK0,sK6,X0,sK6)
| ~ cong(sK0,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_63936,plain,
( perp(sK0,sK0,sK6,sK0)
| ~ cong(sK0,sK6,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_63935]) ).
tcf(c_64456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK10)
| ~ coll(X1,X3,sK10)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK10) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_64457,plain,
( midp(sK0,sK0,sK10)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK10)
| ~ para(sK0,sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_64456]) ).
tcf(c_64471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK3,X3,X2)
| ~ coll(sK3,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_64472,plain,
( midp(sK3,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_64471]) ).
tcf(c_68196,plain,
! [X0: $i] :
( cyclic(sK8,sK2,sK3,sK1)
| ~ cong(X0,sK8,X0,sK1)
| ~ cong(X0,sK8,X0,sK3)
| ~ cong(X0,sK8,X0,sK2) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_68197,plain,
( cyclic(sK8,sK2,sK3,sK1)
| ~ cong(sK0,sK8,sK0,sK1)
| ~ cong(sK0,sK8,sK0,sK3)
| ~ cong(sK0,sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_68196]) ).
tcf(c_68803,plain,
! [X0: $i,X1: $i] :
( midp(sK0,sK3,sK3)
| ~ midp(sK0,X0,X1)
| ~ para(X0,sK3,X1,sK3) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_68804,plain,
( midp(sK0,sK3,sK3)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_68803]) ).
tcf(c_68811,plain,
! [X0: $i,X1: $i] :
( midp(sK0,sK6,sK6)
| ~ midp(sK0,X0,X1)
| ~ para(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_68812,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_68811]) ).
tcf(c_70235,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK8)
| ~ midp(X0,sK0,sK10) ),
inference(global_subsumption_just,[status(thm)],[c_9178,c_52,c_155,c_157,c_802,c_894,c_2600,c_2602,c_2689,c_2742,c_2743,c_2784,c_2783,c_2816,c_2815,c_3190,c_3370,c_4776,c_7229,c_7236,c_7237,c_7547,c_7602,c_9151,c_9432,c_9460,c_11493,c_12340,c_12367,c_13551,c_14065,c_14122,c_18171,c_27902,c_30140,c_40777,c_44491,c_44710,c_47069,c_48703,c_56185,c_56257,c_56432,c_57169,c_57287,c_57575,c_59784,c_63351,c_63936,c_68812]) ).
tcf(c_70251,plain,
! [X0: $i] :
( cong(X0,sK8,sK0,X0)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_70235,c_138]) ).
tcf(c_70281,plain,
( cong(sK0,sK8,sK0,sK0)
| ~ midp(sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_70251]) ).
tcf(c_72524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK2)
| ~ coll(X1,X3,sK2)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_72525,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ para(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_72524]) ).
tcf(c_72599,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK8,X0,sK2)
| ~ cong(X1,X2,X0,sK2)
| ~ cong(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_72600,plain,
( cong(sK0,sK8,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_72599]) ).
tcf(c_73829,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK2)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_73830,plain,
( cong(sK0,sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_73829]) ).
tcf(c_75135,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK8,X0,sK3)
| ~ cong(X1,X2,X0,sK3)
| ~ cong(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_75136,plain,
( cong(sK0,sK8,sK0,sK3)
| ~ cong(sK0,sK0,sK0,sK3)
| ~ cong(sK0,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_75135]) ).
tcf(c_75242,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK3)
| ~ midp(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_75243,plain,
( cong(sK0,sK0,sK0,sK3)
| ~ midp(sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_75242]) ).
tcf(c_94207,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_17617,c_52,c_155,c_802,c_2600,c_2602,c_2689,c_2742,c_2743,c_2784,c_2783,c_3190,c_3370,c_4776,c_7228,c_7229,c_7547,c_9432,c_11491,c_12340,c_12367,c_13551,c_14122,c_17597,c_18171,c_30140,c_44710,c_48703,c_56432,c_63346,c_63934,c_68804]) ).
tcf(c_94214,plain,
perp(sK3,sK0,sK0,sK0),
inference(superposition,[status(thm)],[c_50,c_94207]) ).
tcf(c_94286,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,X0,X1)
| ~ perp(sK0,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_94214,c_124]) ).
tcf(c_94289,plain,
perp(sK0,sK0,sK3,sK0),
inference(superposition,[status(thm)],[c_94214,c_133]) ).
tcf(c_94616,plain,
perp(sK0,sK0,sK0,sK3),
inference(superposition,[status(thm)],[c_94289,c_134]) ).
tcf(c_97756,plain,
para(sK3,sK0,sK0,sK3),
inference(superposition,[status(thm)],[c_94616,c_94286]) ).
tcf(c_101538,plain,
! [X0: $i] :
( midp(sK0,X0,sK3)
| ~ midp(sK3,X0,sK0)
| ~ coll(sK0,X0,sK3) ),
inference(superposition,[status(thm)],[c_97756,c_83]) ).
tcf(c_101553,plain,
( midp(sK0,sK0,sK3)
| ~ midp(sK3,sK0,sK0)
| ~ coll(sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_101538]) ).
tcf(c_105744,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK8,X0,sK1)
| ~ cong(X1,X2,X0,sK1)
| ~ cong(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_105745,plain,
( cong(sK0,sK8,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_105744]) ).
tcf(c_105746,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_105745,c_101553,c_75243,c_75136,c_73830,c_72600,c_72525,c_70281,c_68812,c_68804,c_68197,c_64472,c_64457,c_63936,c_63934,c_63351,c_63346,c_59784,c_59774,c_57575,c_57287,c_57169,c_56754,c_56432,c_56257,c_56185,c_55634,c_50414,c_49038,c_48703,c_47069,c_44710,c_44491,c_40777,c_30140,c_27902,c_23652,c_21662,c_19395,c_18171,c_14122,c_14065,c_13551,c_12367,c_12340,c_12041,c_12039,c_11653,c_11640,c_11493,c_11491,c_9460,c_9435,c_9432,c_8340,c_7602,c_7547,c_7237,c_7236,c_7229,c_7228,c_5566,c_5418,c_5282,c_4776,c_3375,c_3370,c_3190,c_2815,c_2816,c_2783,c_2784,c_2743,c_2742,c_2689,c_2602,c_2600,c_894,c_802,c_157,c_155,c_49,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO557+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n026.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 12:26:13 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 62.17/15.87 % SZS status Started for theBenchmark.p
% 62.17/15.87 % SZS status Theorem for theBenchmark.p
% 62.17/15.87
% 62.17/15.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.17/15.87
% 62.17/15.87 % ------ iProver source info
% 62.17/15.87
% 62.17/15.87 % git: date: 2026-07-19 20:42:38 +0200
% 62.17/15.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.17/15.87 % git: non_committed_changes: false
% 62.17/15.87
% 62.17/15.87 % ------ Parsing...
% 62.17/15.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.17/15.87
% 62.17/15.87 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 62.17/15.87
% 62.17/15.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.17/15.87 % ------ Proving...
% 62.17/15.87 % ------ Problem Properties
% 62.17/15.87
% 62.17/15.87 %
% 62.17/15.87 % clauses 96
% 62.17/15.87 % conjectures 9
% 62.17/15.87 % EPR 63
% 62.17/15.87 % Horn 91
% 62.17/15.87 % unary 9
% 62.17/15.87 % binary 24
% 62.17/15.87 % lits 265
% 62.17/15.87 % lits eq 0
% 62.17/15.87 % fd_pure 0
% 62.17/15.87 % fd_pseudo 0
% 62.17/15.87 % fd_cond 0
% 62.17/15.87 % fd_pseudo_cond 0
% 62.17/15.87 % AC symbols 0
% 62.17/15.87
% 62.17/15.87 % ------ Schedule dynamic 5 is on
% 62.17/15.87
% 62.17/15.87 % ------ no equalities: superposition off
% 62.17/15.87
% 62.17/15.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 62.17/15.87
% 62.17/15.87
% 62.17/15.87 % ------
% 62.17/15.87 % Current options:
% 62.17/15.87 % ------
% 62.17/15.87
% 62.17/15.87
% 62.17/15.87 %
% 62.17/15.87
% 62.17/15.87 % ------ Proving...
% 62.17/15.87 %
% 62.17/15.87
% 62.17/15.87 % SZS status Theorem for theBenchmark.p
% 62.17/15.87
% 62.17/15.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.17/15.88
% 62.17/15.88
%------------------------------------------------------------------------------