%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO593+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:21:34 PM UTC 2026
% Result : Theorem 25.33s 5.79s
% Output : CNFRefutation 25.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 321 ( 29 unt; 0 def)
% Number of atoms : 882 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1000 ( 439 ~; 432 |; 94 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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 : 13 ( 13 usr; 12 con; 0-6 aty)
% Number of variables : 899 ( 0 sgn 872 !; 27 ?; 308 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> cong(X8,X2,X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416055) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> cong(X8,X2,X8,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ cong(X8,X2,X8,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ cong(X8,X2,X8,X7) ),
inference(flattening,[],[f98]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(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,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(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(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f202]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK8,sK0,sK5)
& coll(sK8,sK2,sK3)
& coll(sK7,sK0,sK5)
& coll(sK7,sK1,sK2)
& circle(sK4,sK2,sK6,sK11)
& coll(sK6,sK0,sK5)
& coll(sK5,sK2,sK4)
& perp(sK5,sK0,sK2,sK4)
& circle(sK4,sK2,sK9,sK10)
& midp(sK4,sK1,sK0)
& coll(sK3,sK0,sK1)
& perp(sK3,sK2,sK0,sK1)
& perp(sK2,sK0,sK2,sK1)
& ~ cong(sK8,sK2,sK8,sK7) ),
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(f234,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK25(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK25(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK25(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X6,sK25(X0,X1,X2,X3,X4,X5))],[f155]) ).
fof(f240,plain,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK7,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ cong(sK8,sK2,sK8,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f278,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(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f286,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,[],[f137]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK25(X0,X1,X2,X3,X4,X5),X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f166]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f188]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f199]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f332,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ cong(sK8,sK2,sK8,sK7),
inference(cnf_transformation,[],[f252]) ).
tcf(c_50,negated_conjecture,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f251]) ).
tcf(c_53,negated_conjecture,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f248]) ).
tcf(c_59,negated_conjecture,
coll(sK7,sK1,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_61,negated_conjecture,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f240]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_88,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,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK25(X1,X2,X4,X5,X0,X3),X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_150,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,[],[f340]) ).
tcf(c_160,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_164,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2192,plain,
( coll(sK8,sK3,sK2)
| ~ coll(sK8,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2194,plain,
( midp(sK4,sK0,sK1)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2208,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK1,sK2)
| ~ coll(sK7,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2209,plain,
( coll(sK2,sK2,sK7)
| ~ coll(sK7,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2208]) ).
tcf(c_2802,plain,
! [X0: $i] :
( coll(sK2,X0,sK8)
| ~ coll(sK8,sK3,sK2)
| ~ coll(sK8,sK3,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2805,plain,
( coll(sK2,sK2,sK8)
| ~ coll(sK8,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK25(sK0,sK1,X1,X2,sK4,X0),sK0,X2)
| ~ midp(sK4,sK0,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_3039,plain,
coll(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_61,c_91]) ).
tcf(c_3242,plain,
! [X0: $i] :
( coll(sK2,sK7,X0)
| ~ coll(sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_3244,plain,
( coll(sK2,sK7,sK2)
| ~ coll(sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_3242]) ).
tcf(c_3468,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_109,c_116]) ).
tcf(c_3686,plain,
~ midp(sK8,sK7,sK2),
inference(superposition,[status(thm)],[c_3468,c_49]) ).
tcf(c_3889,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK1,X0) ),
inference(superposition,[status(thm)],[c_59,c_89]) ).
tcf(c_3891,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK2,X0) ),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_3906,plain,
! [X0: $i] :
( coll(sK2,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_3039,c_89]) ).
tcf(c_4424,plain,
! [X0: $i,X1: $i] :
( coll(sK8,X0,X1)
| ~ coll(X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4813,plain,
coll(sK2,sK2,sK7),
inference(superposition,[status(thm)],[c_59,c_3889]) ).
tcf(c_4834,plain,
! [X0: $i] :
( coll(sK7,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4813,c_89]) ).
tcf(c_4835,plain,
coll(sK2,sK7,sK2),
inference(superposition,[status(thm)],[c_4813,c_91]) ).
tcf(c_5126,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_61,c_3891]) ).
tcf(c_5132,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_5126,c_89]) ).
tcf(c_6022,plain,
( coll(sK2,sK8,sK8)
| ~ coll(sK8,sK3,sK2)
| ~ coll(sK8,sK3,sK8) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_6092,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK7,X0) ),
inference(superposition,[status(thm)],[c_4835,c_89]) ).
tcf(c_6097,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_6092]) ).
tcf(c_6696,plain,
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0)
| ~ midp(sK4,sK1,sK0)
| ~ midp(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_7324,plain,
! [X0: $i,X1: $i] :
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X0,X1)
| ~ para(sK0,X1,sK0,X0)
| ~ para(sK0,X0,sK0,X1)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_7325,plain,
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK2,sK2)
| ~ para(sK0,sK2,sK0,sK2)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7324]) ).
tcf(c_10480,plain,
coll(sK2,sK2,sK8),
inference(superposition,[status(thm)],[c_3039,c_3906]) ).
tcf(c_11919,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_128,c_143]) ).
tcf(c_11931,plain,
( cyclic(sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11919]) ).
tcf(c_12560,plain,
coll(sK7,sK8,sK2),
inference(superposition,[status(thm)],[c_10480,c_4834]) ).
tcf(c_12855,plain,
coll(sK8,sK8,sK3),
inference(superposition,[status(thm)],[c_5126,c_5132]) ).
tcf(c_12874,plain,
coll(sK8,sK3,sK8),
inference(superposition,[status(thm)],[c_12855,c_91]) ).
tcf(c_14523,plain,
! [X0: $i] :
( coll(sK8,sK7,X0)
| ~ coll(sK7,sK8,X0) ),
inference(instantiation,[status(thm)],[c_4424]) ).
tcf(c_14524,plain,
( coll(sK8,sK7,sK2)
| ~ coll(sK7,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_14523]) ).
tcf(c_18916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X4,X2,X3)
| ~ midp(X0,X4,X1)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_3468,c_150]) ).
tcf(c_19329,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK7,X1)
| ~ coll(X0,sK7,X1)
| ~ cong(X0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_19330,plain,
( midp(sK2,sK7,sK2)
| ~ coll(sK2,sK7,sK2)
| ~ cong(sK2,sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_19329]) ).
tcf(c_25518,plain,
coll(sK7,sK2,sK8),
inference(superposition,[status(thm)],[c_12560,c_91]) ).
tcf(c_26732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_128,c_142]) ).
tcf(c_26767,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_26732]) ).
tcf(c_28268,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_28336,plain,
perp(sK2,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_28268,c_105]) ).
tcf(c_28386,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK2,X0) ),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_28707,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_61,c_28386]) ).
tcf(c_28718,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_28707,c_89]) ).
tcf(c_29268,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_103]) ).
tcf(c_30011,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_28336,c_29268]) ).
tcf(c_30284,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_30011,c_131]) ).
tcf(c_30511,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_30284,c_132]) ).
tcf(c_32055,plain,
coll(sK8,sK8,sK3),
inference(superposition,[status(thm)],[c_28707,c_28718]) ).
tcf(c_32068,plain,
coll(sK8,sK3,sK8),
inference(superposition,[status(thm)],[c_32055,c_91]) ).
tcf(c_32321,plain,
! [X0: $i] :
( coll(sK8,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_32068,c_89]) ).
tcf(c_32327,plain,
( coll(sK8,sK2,sK8)
| ~ coll(sK8,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_32321]) ).
tcf(c_36113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X2,X1,X3)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X2,X3)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_36121,plain,
( para(sK2,sK2,sK2,sK2)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK2,sK2) ),
inference(instantiation,[status(thm)],[c_36113]) ).
tcf(c_36563,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK8,X0,X1)
| ~ perp(X0,X1,X1,sK8) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_36564,plain,
( perp(sK2,sK8,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_36563]) ).
tcf(c_44343,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK8)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_44344,plain,
( perp(sK2,sK2,sK2,sK8)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_44343]) ).
tcf(c_45161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK8,X3,sK2)
| ~ perp(X1,X2,X3,sK2)
| ~ perp(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_45162,plain,
( para(sK2,sK8,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_45161]) ).
tcf(c_45179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK2,X3,sK8)
| ~ perp(X1,X2,X3,sK8)
| ~ perp(X0,sK2,X1,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_45180,plain,
( para(sK2,sK2,sK2,sK8)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_45179]) ).
tcf(c_52824,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK2,sK8,sK2)
| ~ midp(sK2,X0,X1)
| ~ perp(X0,sK8,sK8,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_52825,plain,
( cong(sK2,sK2,sK8,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ perp(sK2,sK8,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_52824]) ).
tcf(c_54943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK8,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK8,X2,X1)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_54944,plain,
( midp(sK2,sK8,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK8)
| ~ para(sK2,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_54943]) ).
tcf(c_59420,plain,
! [X0: $i,X1: $i] :
( midp(sK8,sK7,sK2)
| ~ coll(sK8,sK7,sK2)
| ~ midp(X0,sK7,X1)
| ~ para(X0,sK8,X1,sK2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_59421,plain,
( midp(sK8,sK7,sK2)
| ~ midp(sK2,sK7,sK2)
| ~ coll(sK8,sK7,sK2)
| ~ para(sK2,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_59420]) ).
tcf(c_59495,plain,
! [X0: $i] :
( cyclic(sK2,sK8,X0,sK8)
| ~ cyclic(sK2,X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_59496,plain,
( cyclic(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59495]) ).
tcf(c_59497,plain,
! [X0: $i] :
( cyclic(sK2,sK8,X0,sK8)
| ~ coll(X0,sK8,sK8)
| ~ eqangle(X0,sK2,X0,sK8,sK8,sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_59548,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK8,sK2)
| ~ cong(sK8,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_59808,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,sK8,X1,sK8)
| ~ cyclic(X1,sK8,X0,sK8)
| ~ cyclic(X1,sK8,X0,X2)
| ~ cyclic(X1,sK8,X0,X1)
| ~ eqangle(X0,X1,X0,sK8,X2,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_59809,plain,
( cong(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK8,sK2,sK2)
| ~ cyclic(sK2,sK8,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_59808]) ).
tcf(c_59831,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK8)
| ~ cyclic(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_59832,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK8)
| ~ coll(X0,sK8,X2)
| ~ eqangle(X0,X1,X0,X2,sK8,X1,sK8,X2) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_59834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK8)
| ~ cyclic(X0,X1,X2,sK8)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_59835,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X0,X2,sK8)
| ~ cyclic(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_59836,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK8)
| ~ cyclic(X0,X1,sK8,X2) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_59837,plain,
( cyclic(sK2,sK2,sK2,sK8)
| ~ cyclic(sK2,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_59836]) ).
tcf(c_59840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X3,X2,sK8)
| ~ midp(X0,X3,X1)
| ~ cong(X0,X1,X0,sK8)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_18916]) ).
tcf(c_59917,plain,
! [X0: $i,X1: $i] :
( cyclic(sK8,X1,sK8,sK2)
| ~ cyclic(X0,sK8,X1,sK2)
| ~ cyclic(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_59943,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,sK8,sK8,X1)
| ~ cyclic(X0,sK2,sK8,sK8)
| ~ cyclic(X0,sK2,sK8,X1) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_59944,plain,
( cyclic(sK2,sK8,sK8,sK2)
| ~ cyclic(sK2,sK2,sK8,sK2)
| ~ cyclic(sK2,sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59943]) ).
tcf(c_59986,plain,
! [X0: $i,X1: $i] :
( cong(sK8,X1,sK8,sK2)
| ~ midp(X0,X1,sK2)
| ~ perp(sK8,X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_59987,plain,
( cong(sK8,sK2,sK8,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ perp(sK8,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_59986]) ).
tcf(c_60006,plain,
! [X0: $i] :
( cong(sK8,sK2,sK7,sK2)
| ~ midp(sK2,sK8,X0)
| ~ perp(sK8,sK7,sK7,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_60007,plain,
( cong(sK8,sK2,sK7,sK2)
| ~ midp(sK2,sK8,sK2)
| ~ perp(sK8,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_60006]) ).
tcf(c_60324,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ coll(X0,sK8,sK8)
| ~ cong(X0,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_60325,plain,
( midp(sK2,sK8,sK8)
| ~ coll(sK2,sK8,sK8)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_60324]) ).
tcf(c_60381,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK7,X0,sK2)
| ~ cong(X1,X2,X0,sK2)
| ~ cong(X0,sK7,X1,X2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_60435,plain,
( cyclic(sK2,sK8,sK8,sK8)
| ~ coll(sK8,sK8,sK8)
| ~ eqangle(sK8,sK2,sK8,sK8,sK8,sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59497]) ).
tcf(c_60436,plain,
( eqangle(sK8,sK2,sK8,sK8,sK8,sK2,sK8,sK8)
| ~ para(sK8,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_60513,plain,
! [X0: $i,X1: $i] :
( cong(sK8,sK2,X0,X1)
| ~ cong(X0,X1,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_60514,plain,
( cong(sK8,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_60513]) ).
tcf(c_60516,plain,
! [X0: $i,X1: $i] :
( cong(sK8,sK2,X1,X0)
| ~ cong(sK8,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_60647,plain,
! [X0: $i] :
( eqangle(sK8,X0,X0,sK2,sK8,sK8,sK8,sK2)
| ~ eqangle(X0,sK8,X0,sK2,sK8,sK8,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_60801,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK8,sK8,X1)
| ~ cong(X0,sK8,sK8,sK8)
| ~ cong(X0,X1,sK8,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_60803,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK8,sK8,X0)
| ~ perp(sK8,X0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_60804,plain,
( perp(sK2,sK8,sK8,sK2)
| ~ perp(sK8,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_60803]) ).
tcf(c_60956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X0,sK7,sK7,sK2)
| ~ perp(X1,X2,X3,X4)
| ~ eqangle(X0,sK7,sK7,sK2,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_61035,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK8,X2)
| ~ cyclic(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_61036,plain,
( cyclic(sK2,sK2,sK8,sK2)
| ~ cyclic(sK2,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61035]) ).
tcf(c_61966,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK8,sK8)
| ~ coll(sK8,sK8,X1)
| ~ eqangle(sK8,X0,sK8,X1,sK8,X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_59832]) ).
tcf(c_61978,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X2,X0,X2,X1,sK8,X0,sK8,X1)
| ~ cyclic(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_62114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X4,sK7,X2,X3,X4,sK7)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_62270,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK8,X0,X1,X0,sK8)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_62271,plain,
( eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_62270]) ).
tcf(c_62282,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,X0,X1,sK8,X2,X0,X2,sK8)
| ~ cyclic(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_62726,plain,
! [X0: $i] :
( coll(sK8,sK8,sK8)
| ~ coll(sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_62727,plain,
( coll(sK8,sK8,sK8)
| ~ coll(sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_62726]) ).
tcf(c_62745,plain,
! [X0: $i] :
( para(sK8,sK2,sK8,sK2)
| ~ midp(X0,sK2,sK2)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_62746,plain,
( para(sK8,sK2,sK8,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ midp(sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_62745]) ).
tcf(c_62758,plain,
! [X0: $i] :
( coll(sK8,sK8,sK7)
| ~ coll(sK7,X0,sK8) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_62759,plain,
( coll(sK8,sK8,sK7)
| ~ coll(sK7,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_62758]) ).
tcf(c_62803,plain,
! [X0: $i] :
( cong(sK8,sK8,sK8,sK8)
| ~ cyclic(sK8,sK8,sK8,sK8)
| ~ cyclic(sK8,sK8,sK8,X0)
| ~ eqangle(sK8,sK8,sK8,sK8,X0,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_59808]) ).
tcf(c_62804,plain,
( cong(sK8,sK8,sK8,sK8)
| ~ cyclic(sK8,sK8,sK8,sK2)
| ~ cyclic(sK8,sK8,sK8,sK8)
| ~ eqangle(sK8,sK8,sK8,sK8,sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_62803]) ).
tcf(c_63544,plain,
! [X0: $i] :
( perp(sK8,sK2,sK2,sK8)
| ~ cyclic(sK2,X0,sK8,sK8)
| ~ cong(sK2,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_63545,plain,
( perp(sK8,sK2,sK2,sK8)
| ~ cyclic(sK2,sK2,sK8,sK8)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_63544]) ).
tcf(c_64761,plain,
! [X0: $i,X1: $i] :
( perp(sK8,X0,X0,sK2)
| ~ cyclic(X0,X1,sK8,sK2)
| ~ cong(X0,sK2,X1,sK2)
| ~ cong(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_64762,plain,
( perp(sK8,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK8,sK2)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_64761]) ).
tcf(c_64902,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK8,X0,X2)
| ~ coll(X0,X2,sK8)
| ~ eqangle(X0,X1,X0,sK8,X2,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_64903,plain,
( cyclic(sK2,sK8,sK2,sK2)
| ~ coll(sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_64902]) ).
tcf(c_67622,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK8,X1,sK8)
| ~ cyclic(X0,X1,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59831]) ).
tcf(c_67657,plain,
! [X0: $i] :
( cyclic(sK8,X0,sK7,sK8)
| ~ cyclic(X0,sK8,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_59835]) ).
tcf(c_67658,plain,
( cyclic(sK8,sK2,sK7,sK8)
| ~ cyclic(sK2,sK8,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_67657]) ).
tcf(c_67705,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,X1,sK8,sK8)
| ~ cyclic(X0,sK2,X1,sK8) ),
inference(instantiation,[status(thm)],[c_59834]) ).
tcf(c_67706,plain,
( cyclic(sK2,sK2,sK8,sK8)
| ~ cyclic(sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_67705]) ).
tcf(c_67832,plain,
! [X0: $i] :
( cyclic(sK8,sK8,sK8,sK2)
| ~ cyclic(X0,sK8,sK8,sK2)
| ~ cyclic(X0,sK8,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59917]) ).
tcf(c_67835,plain,
( cyclic(sK8,sK8,sK8,sK2)
| ~ cyclic(sK2,sK8,sK8,sK2)
| ~ cyclic(sK2,sK8,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_67832]) ).
tcf(c_68016,plain,
! [X0: $i] :
( eqangle(sK8,X0,sK8,sK7,sK8,X0,sK8,sK7)
| ~ para(sK8,X0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_62114]) ).
tcf(c_68017,plain,
! [X0: $i] :
( cyclic(X0,sK7,sK8,sK8)
| ~ coll(sK8,sK8,sK7)
| ~ eqangle(sK8,X0,sK8,sK7,sK8,X0,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_61966]) ).
tcf(c_68018,plain,
( eqangle(sK8,sK2,sK8,sK7,sK8,sK2,sK8,sK7)
| ~ para(sK8,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_68016]) ).
tcf(c_68019,plain,
( cyclic(sK2,sK7,sK8,sK8)
| ~ coll(sK8,sK8,sK7)
| ~ eqangle(sK8,sK2,sK8,sK7,sK8,sK2,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_68017]) ).
tcf(c_68304,plain,
( eqangle(sK8,sK8,sK8,sK8,sK2,sK8,sK2,sK8)
| ~ cyclic(sK8,sK8,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_62282]) ).
tcf(c_69499,plain,
! [X0: $i] :
( perp(sK8,sK8,sK8,X0)
| ~ cong(sK8,sK8,sK8,sK8)
| ~ cong(sK8,X0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_60801]) ).
tcf(c_69501,plain,
( perp(sK8,sK8,sK8,sK2)
| ~ cong(sK8,sK2,sK8,sK2)
| ~ cong(sK8,sK8,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_69499]) ).
tcf(c_69578,plain,
! [X0: $i] :
( cong(X0,sK7,sK8,sK2)
| ~ cong(sK8,sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_59548]) ).
tcf(c_69579,plain,
! [X0: $i] :
( cong(X0,sK7,X0,sK2)
| ~ cong(sK8,sK2,X0,sK2)
| ~ cong(X0,sK7,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_60381]) ).
tcf(c_69581,plain,
( cong(sK2,sK7,sK8,sK2)
| ~ cong(sK8,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_69578]) ).
tcf(c_69583,plain,
( cong(sK2,sK7,sK2,sK2)
| ~ cong(sK2,sK7,sK8,sK2)
| ~ cong(sK8,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_69579]) ).
tcf(c_70237,plain,
! [X0: $i] :
( cyclic(sK8,sK8,sK8,sK8)
| ~ midp(X0,sK8,sK8)
| ~ cong(X0,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_59840]) ).
tcf(c_70238,plain,
( cyclic(sK8,sK8,sK8,sK8)
| ~ midp(sK2,sK8,sK8)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_70237]) ).
tcf(c_71131,plain,
! [X0: $i] :
( cong(sK8,sK2,X0,sK7)
| ~ cong(sK8,sK2,sK7,X0) ),
inference(instantiation,[status(thm)],[c_60516]) ).
tcf(c_71132,plain,
( cong(sK8,sK2,sK2,sK7)
| ~ cong(sK8,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_71131]) ).
tcf(c_71594,plain,
! [X0: $i] :
( eqangle(sK7,sK8,sK7,X0,sK8,sK8,sK8,X0)
| ~ cyclic(sK8,X0,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_61978]) ).
tcf(c_71595,plain,
( eqangle(sK7,sK8,sK7,sK2,sK8,sK8,sK8,sK2)
| ~ cyclic(sK8,sK2,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_71594]) ).
tcf(c_71605,plain,
! [X0: $i] :
( cyclic(X0,sK8,sK7,sK8)
| ~ cyclic(X0,sK7,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_67622]) ).
tcf(c_71606,plain,
( cyclic(sK2,sK8,sK7,sK8)
| ~ cyclic(sK2,sK7,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_71605]) ).
tcf(c_74526,plain,
( perp(sK8,sK7,sK7,sK2)
| ~ perp(sK8,sK8,sK8,sK2)
| ~ eqangle(sK8,sK7,sK7,sK2,sK8,sK8,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_60956]) ).
tcf(c_74527,plain,
( eqangle(sK8,sK7,sK7,sK2,sK8,sK8,sK8,sK2)
| ~ eqangle(sK7,sK8,sK7,sK2,sK8,sK8,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_60647]) ).
tcf(c_74531,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_74527,c_74526,c_71606,c_71595,c_71132,c_70238,c_69583,c_69581,c_69501,c_68304,c_68019,c_68018,c_67835,c_67706,c_67658,c_64903,c_64762,c_63545,c_62804,c_62759,c_62746,c_62727,c_62271,c_61036,c_60804,c_60514,c_60436,c_60435,c_60325,c_60007,c_59987,c_59944,c_59837,c_59809,c_59496,c_59421,c_54944,c_52825,c_45180,c_45162,c_44344,c_36564,c_36121,c_32327,c_30511,c_26767,c_25518,c_19330,c_14524,c_12874,c_12560,c_11931,c_7325,c_6696,c_6097,c_6022,c_3686,c_3244,c_2805,c_2209,c_2194,c_2192,c_164,c_160,c_53,c_59,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO593+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:30:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 25.33/5.79 % SZS status Started for theBenchmark.p
% 25.33/5.79 % SZS status Theorem for theBenchmark.p
% 25.33/5.79
% 25.33/5.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.33/5.79
% 25.33/5.79 % ------ iProver source info
% 25.33/5.79
% 25.33/5.79 % git: date: 2026-07-19 20:42:38 +0200
% 25.33/5.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.33/5.79 % git: non_committed_changes: false
% 25.33/5.79
% 25.33/5.79 % ------ Parsing...
% 25.33/5.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.33/5.79
% 25.33/5.79 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.33/5.79
% 25.33/5.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.33/5.79 % ------ Proving...
% 25.33/5.79 % ------ Problem Properties
% 25.33/5.79
% 25.33/5.79 %
% 25.33/5.79 % clauses 101
% 25.33/5.79 % conjectures 14
% 25.33/5.79 % EPR 68
% 25.33/5.79 % Horn 96
% 25.33/5.79 % unary 14
% 25.33/5.79 % binary 24
% 25.33/5.79 % lits 270
% 25.33/5.79 % lits eq 0
% 25.33/5.79 % fd_pure 0
% 25.33/5.79 % fd_pseudo 0
% 25.33/5.79 % fd_cond 0
% 25.33/5.79 % fd_pseudo_cond 0
% 25.33/5.79 % AC symbols 0
% 25.33/5.79
% 25.33/5.79 % ------ Schedule dynamic 5 is on
% 25.33/5.79
% 25.33/5.79 % ------ no equalities: superposition off
% 25.33/5.79
% 25.33/5.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.33/5.79
% 25.33/5.79
% 25.33/5.79 % ------
% 25.33/5.79 % Current options:
% 25.33/5.79 % ------
% 25.33/5.79
% 25.33/5.79
% 25.33/5.79 %
% 25.33/5.79
% 25.33/5.79 % ------ Proving...
% 25.33/5.79 %
% 25.33/5.79
% 25.33/5.79 % SZS status Theorem for theBenchmark.p
% 25.33/5.79
% 25.33/5.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.33/5.80
% 25.33/5.80
%------------------------------------------------------------------------------