%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO626+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:41 PM UTC 2026
% Result : Theorem 95.16s 32.16s
% Output : CNFRefutation 95.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 35
% Syntax : Number of formulae : 485 ( 98 unt; 0 def)
% Number of atoms : 1120 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1164 ( 529 ~; 527 |; 72 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 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; 0-5 aty)
% Number of variables : 1083 ( 0 sgn1056 !; 27 ?; 439 :)
% 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(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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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/sandbox/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/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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> para(X7,X2,X8,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> para(X7,X2,X8,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ para(X7,X2,X8,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ para(X7,X2,X8,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,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f162]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f181,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(f182,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,[],[f181]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f183]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
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(f220,plain,
( coll(sK8,sK4,sK6)
& circle(sK3,sK4,sK8,sK11)
& coll(sK7,sK4,sK5)
& circle(sK3,sK4,sK7,sK10)
& coll(sK6,sK0,sK2)
& perp(sK6,sK4,sK0,sK2)
& coll(sK5,sK0,sK1)
& perp(sK5,sK4,sK0,sK1)
& circle(sK3,sK0,sK4,sK9)
& circle(sK3,sK0,sK1,sK2)
& ~ para(sK7,sK2,sK8,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(f239,plain,
coll(sK8,sK4,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK7,sK4,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK6,sK4,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
perp(sK5,sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
circle(sK3,sK0,sK4,sK9),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
~ para(sK7,sK2,sK8,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f254,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(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f275,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(f276,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f153]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f161]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f311,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,[],[f182]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f196]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f197]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f324,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(f329,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(f330,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(f331,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
~ para(sK7,sK2,sK8,sK1),
inference(cnf_transformation,[],[f249]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f248]) ).
tcf(c_51,negated_conjecture,
circle(sK3,sK0,sK4,sK9),
inference(cnf_transformation,[],[f247]) ).
tcf(c_52,negated_conjecture,
perp(sK5,sK4,sK0,sK1),
inference(cnf_transformation,[],[f246]) ).
tcf(c_53,negated_conjecture,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_54,negated_conjecture,
perp(sK6,sK4,sK0,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_57,negated_conjecture,
coll(sK7,sK4,sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_59,negated_conjecture,
coll(sK8,sK4,sK6),
inference(cnf_transformation,[],[f239]) ).
tcf(c_65,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,[],[f254]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_85,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,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_131,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,[],[f321]) ).
tcf(c_132,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,[],[f322]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_134,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,[],[f324]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_140,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,[],[f330]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_155,plain,
( eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_157,plain,
( midp(sK4,sK4,sK4)
| ~ coll(sK4,sK4,sK4)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_160,plain,
( perp(sK4,sK4,sK4,sK4)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_199,plain,
( cong(sK4,sK4,sK4,sK4)
| ~ cyclic(sK4,sK4,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_2394,plain,
( coll(sK7,sK5,sK4)
| ~ coll(sK7,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2395,plain,
( coll(sK8,sK6,sK4)
| ~ coll(sK8,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2396,plain,
( perp(sK0,sK1,sK5,sK4)
| ~ perp(sK5,sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2397,plain,
( perp(sK0,sK2,sK6,sK4)
| ~ perp(sK6,sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2404,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK4,sK5)
| ~ coll(sK7,sK4,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2476,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_2712,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK5,sK4)
| ~ coll(sK7,sK5,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2715,plain,
( coll(sK4,sK4,sK7)
| ~ coll(sK7,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_2712]) ).
tcf(c_2739,plain,
! [X0: $i] :
( coll(sK4,X0,sK8)
| ~ coll(sK8,sK6,sK4)
| ~ coll(sK8,sK6,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2742,plain,
( coll(sK4,sK4,sK8)
| ~ coll(sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_2739]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK5,sK4)
| ~ perp(sK5,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK0,sK2,sK6,sK4)
| ~ perp(sK6,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2922,plain,
( coll(sK5,sK5,sK7)
| ~ coll(sK7,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_2404]) ).
tcf(c_3034,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK5,sK7)
| ~ coll(sK5,sK5,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3054,plain,
coll(sK0,sK5,sK1),
inference(superposition,[status(thm)],[c_53,c_87]) ).
tcf(c_3055,plain,
coll(sK0,sK6,sK2),
inference(superposition,[status(thm)],[c_55,c_87]) ).
tcf(c_3064,plain,
coll(sK4,sK7,sK5),
inference(superposition,[status(thm)],[c_57,c_87]) ).
tcf(c_3104,plain,
coll(sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_88]) ).
tcf(c_3105,plain,
coll(sK6,sK2,sK0),
inference(superposition,[status(thm)],[c_55,c_88]) ).
tcf(c_3106,plain,
coll(sK7,sK5,sK4),
inference(superposition,[status(thm)],[c_57,c_88]) ).
tcf(c_3116,plain,
coll(sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_88]) ).
tcf(c_3117,plain,
coll(sK6,sK2,sK0),
inference(superposition,[status(thm)],[c_55,c_88]) ).
tcf(c_3118,plain,
coll(sK7,sK5,sK4),
inference(superposition,[status(thm)],[c_57,c_88]) ).
tcf(c_3409,plain,
perp(sK0,sK1,sK5,sK4),
inference(superposition,[status(thm)],[c_52,c_113]) ).
tcf(c_3410,plain,
perp(sK0,sK2,sK6,sK4),
inference(superposition,[status(thm)],[c_54,c_113]) ).
tcf(c_3416,plain,
perp(sK0,sK2,sK6,sK4),
inference(superposition,[status(thm)],[c_54,c_113]) ).
tcf(c_3469,plain,
perp(sK0,sK1,sK4,sK5),
inference(superposition,[status(thm)],[c_3409,c_114]) ).
tcf(c_3720,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_86]) ).
tcf(c_3722,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK4,X0) ),
inference(superposition,[status(thm)],[c_57,c_86]) ).
tcf(c_3724,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_3054,c_86]) ).
tcf(c_3725,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_3055,c_86]) ).
tcf(c_3728,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK1,X0) ),
inference(superposition,[status(thm)],[c_3104,c_86]) ).
tcf(c_3729,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK2,X0) ),
inference(superposition,[status(thm)],[c_3105,c_86]) ).
tcf(c_3730,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK5,X0) ),
inference(superposition,[status(thm)],[c_3106,c_86]) ).
tcf(c_3816,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_86]) ).
tcf(c_3817,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_3818,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK4,X0) ),
inference(superposition,[status(thm)],[c_57,c_86]) ).
tcf(c_3822,plain,
! [X0: $i] :
( coll(sK5,X0,sK4)
| ~ coll(sK4,sK7,X0) ),
inference(superposition,[status(thm)],[c_3064,c_86]) ).
tcf(c_3824,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK1,X0) ),
inference(superposition,[status(thm)],[c_3116,c_86]) ).
tcf(c_3825,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK2,X0) ),
inference(superposition,[status(thm)],[c_3117,c_86]) ).
tcf(c_3826,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK5,X0) ),
inference(superposition,[status(thm)],[c_3118,c_86]) ).
tcf(c_4107,plain,
! [X0: $i] :
( coll(sK8,sK4,X0)
| ~ coll(sK4,sK8,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4108,plain,
( coll(sK8,sK4,sK4)
| ~ coll(sK4,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_4107]) ).
tcf(c_4131,plain,
coll(sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_53,c_3720]) ).
tcf(c_4136,plain,
coll(sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_53,c_3816]) ).
tcf(c_4142,plain,
! [X0: $i] :
( coll(sK8,sK4,X0)
| ~ coll(sK8,X0,sK4) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4147,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_4131,c_86]) ).
tcf(c_4153,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_4136,c_86]) ).
tcf(c_4161,plain,
! [X0: $i,X1: $i] :
( coll(sK7,X1,X0)
| ~ coll(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK0,X0)
| ~ coll(X0,X1,sK0)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4243,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK8,X2,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4277,plain,
coll(sK5,sK5,sK7),
inference(superposition,[status(thm)],[c_57,c_3722]) ).
tcf(c_4282,plain,
coll(sK5,sK5,sK7),
inference(superposition,[status(thm)],[c_57,c_3818]) ).
tcf(c_4283,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_4277,c_86]) ).
tcf(c_4288,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_4282,c_86]) ).
tcf(c_4731,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_3104,c_3728]) ).
tcf(c_4737,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_3116,c_3824]) ).
tcf(c_4740,plain,
coll(sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_4731,c_88]) ).
tcf(c_4745,plain,
! [X0: $i] :
( coll(sK5,X0,sK0)
| ~ coll(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_4737,c_86]) ).
tcf(c_4794,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_3105,c_3729]) ).
tcf(c_4800,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_3117,c_3825]) ).
tcf(c_4895,plain,
! [X0: $i] :
( coll(sK4,sK7,X0)
| ~ coll(sK4,X0,sK7) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4897,plain,
( coll(sK4,sK7,sK4)
| ~ coll(sK4,sK4,sK7) ),
inference(instantiation,[status(thm)],[c_4895]) ).
tcf(c_4902,plain,
( coll(sK4,sK0,sK7)
| ~ coll(sK7,sK5,sK4)
| ~ coll(sK7,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_2712]) ).
tcf(c_5058,plain,
! [X0: $i] :
( coll(sK4,sK8,X0)
| ~ coll(sK4,X0,sK8) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_5060,plain,
( coll(sK4,sK8,sK4)
| ~ coll(sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_5058]) ).
tcf(c_5147,plain,
( para(sK0,sK1,sK0,sK1)
| ~ perp(sK5,sK4,sK0,sK1)
| ~ perp(sK0,sK1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_2758]) ).
tcf(c_5149,plain,
( para(sK0,sK2,sK0,sK2)
| ~ perp(sK6,sK4,sK0,sK2)
| ~ perp(sK0,sK2,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_5623,plain,
coll(sK0,sK6,sK0),
inference(superposition,[status(thm)],[c_4794,c_88]) ).
tcf(c_5663,plain,
coll(sK4,sK4,sK7),
inference(superposition,[status(thm)],[c_3106,c_3730]) ).
tcf(c_5669,plain,
coll(sK4,sK4,sK7),
inference(superposition,[status(thm)],[c_3118,c_3826]) ).
tcf(c_5685,plain,
coll(sK4,sK7,sK4),
inference(superposition,[status(thm)],[c_5663,c_88]) ).
tcf(c_5690,plain,
! [X0: $i] :
( coll(sK7,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_5669,c_86]) ).
tcf(c_5711,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_5714,plain,
( eqangle(sK0,sK1,sK4,sK4,sK0,sK1,sK4,sK4)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5711]) ).
tcf(c_5716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK0,sK1,sK0,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_5717,plain,
( para(sK4,sK4,sK4,sK4)
| ~ para(sK0,sK1,sK0,sK1)
| ~ eqangle(sK4,sK4,sK4,sK4,sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5716]) ).
tcf(c_5917,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK4,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_104]) ).
tcf(c_5920,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK5,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_3409,c_104]) ).
tcf(c_5921,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_3410,c_104]) ).
tcf(c_5924,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK4,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3469,c_104]) ).
tcf(c_5982,plain,
( para(sK0,sK1,sK4,sK4)
| ~ perp(sK4,sK5,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_5924]) ).
tcf(c_5997,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK4,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_104]) ).
tcf(c_6325,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_4740,c_86]) ).
tcf(c_6328,plain,
coll(sK1,sK0,sK0),
inference(superposition,[status(thm)],[c_4740,c_3724]) ).
tcf(c_6331,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK0,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_6325]) ).
tcf(c_6640,plain,
( coll(sK7,sK0,sK5)
| ~ coll(sK5,sK5,sK0)
| ~ coll(sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_3034]) ).
tcf(c_6780,plain,
para(sK5,sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_3469,c_5917]) ).
tcf(c_6814,plain,
para(sK6,sK4,sK6,sK4),
inference(superposition,[status(thm)],[c_3416,c_5997]) ).
tcf(c_6909,plain,
para(sK4,sK5,sK5,sK4),
inference(superposition,[status(thm)],[c_6780,c_106]) ).
tcf(c_7199,plain,
coll(sK2,sK0,sK0),
inference(superposition,[status(thm)],[c_5623,c_3725]) ).
tcf(c_7237,plain,
! [X0: $i] :
( coll(sK4,X0,sK4)
| ~ coll(sK4,sK7,X0) ),
inference(superposition,[status(thm)],[c_5685,c_86]) ).
tcf(c_7243,plain,
( coll(sK4,sK4,sK4)
| ~ coll(sK4,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_7237]) ).
tcf(c_7302,plain,
coll(sK6,sK4,sK4),
inference(superposition,[status(thm)],[c_6814,c_83]) ).
tcf(c_7451,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_4131,c_4147]) ).
tcf(c_7457,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_4136,c_4153]) ).
tcf(c_7460,plain,
coll(sK5,sK1,sK5),
inference(superposition,[status(thm)],[c_7451,c_88]) ).
tcf(c_7521,plain,
coll(sK7,sK1,sK5),
inference(superposition,[status(thm)],[c_7451,c_4283]) ).
tcf(c_7528,plain,
coll(sK7,sK1,sK5),
inference(superposition,[status(thm)],[c_7457,c_4288]) ).
tcf(c_7612,plain,
para(sK4,sK5,sK4,sK5),
inference(superposition,[status(thm)],[c_6909,c_107]) ).
tcf(c_8016,plain,
( coll(sK7,sK5,sK0)
| ~ coll(sK7,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_4161]) ).
tcf(c_8138,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X0,X1)
| ~ coll(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_8139,plain,
( coll(sK0,sK4,sK4)
| ~ coll(sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_8138]) ).
tcf(c_8212,plain,
coll(sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_6328,c_87]) ).
tcf(c_8272,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK0)
| ~ coll(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8273,plain,
( coll(sK4,sK4,sK0)
| ~ coll(sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_8272]) ).
tcf(c_9361,plain,
coll(sK0,sK2,sK0),
inference(superposition,[status(thm)],[c_7199,c_87]) ).
tcf(c_9511,plain,
coll(sK4,sK6,sK4),
inference(superposition,[status(thm)],[c_7302,c_87]) ).
tcf(c_10139,plain,
! [X0: $i,X1: $i] :
( coll(sK8,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_4243]) ).
tcf(c_10141,plain,
( coll(sK8,sK1,sK4)
| ~ coll(sK4,sK4,sK1)
| ~ coll(sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_10139]) ).
tcf(c_10734,plain,
coll(sK0,sK5,sK5),
inference(superposition,[status(thm)],[c_7460,c_3728]) ).
tcf(c_10871,plain,
coll(sK7,sK5,sK1),
inference(superposition,[status(thm)],[c_7521,c_88]) ).
tcf(c_10876,plain,
coll(sK7,sK5,sK1),
inference(superposition,[status(thm)],[c_7528,c_88]) ).
tcf(c_11147,plain,
( coll(sK8,sK4,sK1)
| ~ coll(sK8,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_4142]) ).
tcf(c_11846,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK1,X0,X1,sK0,sK1)
| ~ eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_11850,plain,
( eqangle(sK4,sK4,sK0,sK1,sK4,sK4,sK0,sK1)
| ~ eqangle(sK0,sK1,sK4,sK4,sK0,sK1,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_11846]) ).
tcf(c_11862,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,X0,sK0,sK1,sK0,X0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5711]) ).
tcf(c_12487,plain,
coll(sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_8212,c_88]) ).
tcf(c_12681,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_52,c_5920]) ).
tcf(c_12788,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_12681,c_98]) ).
tcf(c_12795,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12788,c_12681]) ).
tcf(c_12798,plain,
( midp(sK4,sK1,sK1)
| ~ midp(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12795]) ).
tcf(c_12832,plain,
! [X0: $i,X1: $i] :
( coll(sK1,X1,sK8)
| ~ coll(sK8,X0,sK1)
| ~ coll(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_12833,plain,
( coll(sK1,sK4,sK8)
| ~ coll(sK8,sK4,sK4)
| ~ coll(sK8,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_12832]) ).
tcf(c_13126,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_5921]) ).
tcf(c_13164,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_13126,c_98]) ).
tcf(c_13171,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13164,c_13126]) ).
tcf(c_13174,plain,
( midp(sK4,sK2,sK2)
| ~ midp(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13171]) ).
tcf(c_14347,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_101,c_140]) ).
tcf(c_14360,plain,
( cyclic(sK4,sK4,sK4,sK4)
| ~ coll(sK4,sK4,sK4)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_14347]) ).
tcf(c_14785,plain,
coll(sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_9361,c_88]) ).
tcf(c_14816,plain,
coll(sK4,sK4,sK6),
inference(superposition,[status(thm)],[c_9511,c_88]) ).
tcf(c_15445,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK4,sK4)
| ~ para(sK4,sK5,sK4,sK5) ),
inference(superposition,[status(thm)],[c_7612,c_98]) ).
tcf(c_15452,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK4,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15445,c_7612]) ).
tcf(c_15455,plain,
( midp(sK4,sK5,sK5)
| ~ midp(sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_15452]) ).
tcf(c_15573,plain,
( coll(sK4,sK7,sK0)
| ~ coll(sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_4895]) ).
tcf(c_15574,plain,
! [X0: $i] :
( coll(X0,sK0,sK4)
| ~ coll(sK4,sK7,sK0)
| ~ coll(sK4,sK7,X0) ),
inference(instantiation,[status(thm)],[c_4241]) ).
tcf(c_15578,plain,
( coll(sK4,sK0,sK4)
| ~ coll(sK4,sK7,sK4)
| ~ coll(sK4,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_15574]) ).
tcf(c_15944,plain,
coll(sK5,sK0,sK5),
inference(superposition,[status(thm)],[c_10734,c_87]) ).
tcf(c_16030,plain,
coll(sK4,sK1,sK7),
inference(superposition,[status(thm)],[c_10871,c_3730]) ).
tcf(c_16037,plain,
coll(sK4,sK1,sK7),
inference(superposition,[status(thm)],[c_10876,c_3826]) ).
tcf(c_16892,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK4,sK9,sK0,sK9,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_122]) ).
tcf(c_17302,plain,
! [X0: $i] :
( eqangle(sK0,sK4,sK0,X0,sK9,sK4,sK9,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16892,c_133]) ).
tcf(c_17307,plain,
( cyclic(sK0,sK4,sK0,sK9)
| ~ coll(sK0,sK9,sK4)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_16892,c_140]) ).
tcf(c_17308,plain,
( coll(sK0,sK9,sK0)
| cyclic(sK0,sK4,sK0,sK9)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_16892,c_141]) ).
tcf(c_17419,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK2,sK8,sK1)
| ~ eqangle(sK7,sK2,X0,X1,sK8,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_19670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK1,sK0,sK1)
| ~ eqangle(X0,X1,sK0,sK1,X2,X3,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_19671,plain,
( eqangle(sK4,sK4,sK4,sK4,sK0,sK1,sK0,sK1)
| ~ eqangle(sK4,sK4,sK0,sK1,sK4,sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_19670]) ).
tcf(c_19892,plain,
( cyclic(sK4,sK0,sK0,sK9)
| ~ coll(sK0,sK9,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_17302,c_140]) ).
tcf(c_20933,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ cyclic(sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_20934,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_21929,plain,
coll(sK5,sK5,sK0),
inference(superposition,[status(thm)],[c_15944,c_88]) ).
tcf(c_22555,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK2,X0,X1,sK8,sK1,X0,X1)
| ~ eqangle(sK2,sK7,X0,X1,sK8,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_23223,plain,
( cyclic(sK0,sK1,sK0,sK2)
| ~ cyclic(sK1,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_23226,plain,
coll(sK4,sK7,sK1),
inference(superposition,[status(thm)],[c_16030,c_88]) ).
tcf(c_23227,plain,
coll(sK1,sK4,sK7),
inference(superposition,[status(thm)],[c_16030,c_87]) ).
tcf(c_23231,plain,
coll(sK4,sK7,sK1),
inference(superposition,[status(thm)],[c_16037,c_88]) ).
tcf(c_23243,plain,
( cyclic(sK0,sK4,sK0,sK9)
| ~ cyclic(sK4,sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_23514,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK0,X1)
| ~ coll(X0,sK0,X1)
| ~ cong(X0,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_27322,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK5)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_27323,plain,
( perp(sK4,sK4,sK4,sK5)
| ~ cong(sK4,sK5,sK4,sK5)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_27322]) ).
tcf(c_27395,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK8,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_27396,plain,
( perp(sK4,sK4,sK8,sK1)
| ~ cong(sK4,sK1,sK4,sK1)
| ~ cong(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_27395]) ).
tcf(c_27531,plain,
( cyclic(sK0,sK4,sK0,sK9)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_17307,c_17308,c_19892,c_23243]) ).
tcf(c_28709,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK7,X0) ),
inference(superposition,[status(thm)],[c_23226,c_86]) ).
tcf(c_28715,plain,
( coll(sK1,sK4,sK4)
| ~ coll(sK4,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_28709]) ).
tcf(c_28719,plain,
coll(sK5,sK1,sK4),
inference(superposition,[status(thm)],[c_23231,c_3822]) ).
tcf(c_28773,plain,
coll(sK1,sK7,sK4),
inference(superposition,[status(thm)],[c_23227,c_88]) ).
tcf(c_29285,plain,
coll(sK0,sK4,sK5),
inference(superposition,[status(thm)],[c_28719,c_3824]) ).
tcf(c_29927,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK7,X0) ),
inference(superposition,[status(thm)],[c_28773,c_86]) ).
tcf(c_29932,plain,
( coll(sK4,sK4,sK1)
| ~ coll(sK1,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_29927]) ).
tcf(c_33437,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK4,sK9,sK0,sK9,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_122]) ).
tcf(c_33737,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK4,sK9,sK0,sK9,sK4)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_33437,c_134]) ).
tcf(c_37237,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK5,X0,X1)
| ~ perp(X0,X1,X1,sK5) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_37238,plain,
( perp(sK4,sK5,sK4,sK4)
| ~ perp(sK4,sK4,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_37237]) ).
tcf(c_37316,plain,
coll(sK0,sK5,sK4),
inference(superposition,[status(thm)],[c_29285,c_88]) ).
tcf(c_39019,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK14(X0,X2,X1,sK8,sK1),X0,sK8,sK1)
| ~ coll(X2,sK8,sK1)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_39021,plain,
( perp(sK14(sK4,sK4,sK4,sK8,sK1),sK4,sK8,sK1)
| ~ coll(sK4,sK8,sK1)
| ~ perp(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_39019]) ).
tcf(c_39513,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ cyclic(sK0,sK4,sK0,sK9)
| ~ cyclic(sK0,sK4,sK0,sK4)
| ~ cyclic(sK0,sK4,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_33737,c_139]) ).
tcf(c_39614,plain,
! [X0: $i] :
( cong(X0,sK8,X0,sK8)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_39615,plain,
( cong(sK4,sK8,sK4,sK8)
| ~ midp(sK4,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_39614]) ).
tcf(c_41412,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ coll(X0,sK0,sK0)
| ~ cong(X0,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_23514]) ).
tcf(c_41414,plain,
( midp(sK4,sK0,sK0)
| ~ coll(sK4,sK0,sK0)
| ~ cong(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_41412]) ).
tcf(c_45420,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK7,X0,X1,sK8,sK1,X0,X1)
| ~ para(sK2,sK7,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_45790,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK1,X0,sK1)
| ~ midp(sK1,X0,X1)
| ~ perp(X0,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_45792,plain,
( cong(sK4,sK1,sK4,sK1)
| ~ midp(sK1,sK4,sK4)
| ~ perp(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_45790]) ).
tcf(c_47002,plain,
coll(sK5,sK6,sK0),
inference(superposition,[status(thm)],[c_4800,c_4745]) ).
tcf(c_47015,plain,
coll(sK6,sK5,sK0),
inference(superposition,[status(thm)],[c_47002,c_87]) ).
tcf(c_47185,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK8,sK1)
| ~ coll(sK1,X0,sK8)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_47186,plain,
( coll(sK4,sK8,sK1)
| ~ coll(sK1,sK4,sK4)
| ~ coll(sK1,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_47185]) ).
tcf(c_47609,plain,
coll(sK7,sK6,sK4),
inference(superposition,[status(thm)],[c_14816,c_5690]) ).
tcf(c_48406,plain,
coll(sK6,sK0,sK5),
inference(superposition,[status(thm)],[c_47015,c_88]) ).
tcf(c_49952,plain,
coll(sK2,sK5,sK6),
inference(superposition,[status(thm)],[c_48406,c_3817]) ).
tcf(c_50449,plain,
coll(sK7,sK4,sK6),
inference(superposition,[status(thm)],[c_47609,c_88]) ).
tcf(c_50455,plain,
coll(sK5,sK2,sK6),
inference(superposition,[status(thm)],[c_49952,c_87]) ).
tcf(c_50821,plain,
coll(sK5,sK6,sK2),
inference(superposition,[status(thm)],[c_50455,c_88]) ).
tcf(c_52829,plain,
coll(sK5,sK6,sK7),
inference(superposition,[status(thm)],[c_50449,c_3818]) ).
tcf(c_52937,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK0,sK0)
| ~ coll(sK0,X0,sK0)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_4241]) ).
tcf(c_52938,plain,
( coll(sK4,sK0,sK0)
| ~ coll(sK0,sK4,sK4)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_52937]) ).
tcf(c_53016,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK6,X0) ),
inference(superposition,[status(thm)],[c_52829,c_86]) ).
tcf(c_54630,plain,
coll(sK7,sK2,sK5),
inference(superposition,[status(thm)],[c_50821,c_53016]) ).
tcf(c_59928,plain,
coll(sK7,sK5,sK2),
inference(superposition,[status(thm)],[c_54630,c_88]) ).
tcf(c_64056,plain,
coll(sK4,sK2,sK7),
inference(superposition,[status(thm)],[c_59928,c_3826]) ).
tcf(c_64524,plain,
coll(sK4,sK7,sK2),
inference(superposition,[status(thm)],[c_64056,c_88]) ).
tcf(c_66856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK8,sK1)
| ~ perp(X2,X3,sK8,sK1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_67738,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK14(X0,X2,X1,sK7,sK2),X0,sK7,sK2)
| ~ coll(X2,sK7,sK2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_67740,plain,
( perp(sK14(sK4,sK4,sK4,sK7,sK2),sK4,sK7,sK2)
| ~ coll(sK4,sK7,sK2)
| ~ perp(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_67738]) ).
tcf(c_67829,plain,
! [X0: $i,X1: $i] :
( perp(sK8,sK1,X0,X1)
| ~ perp(X0,X1,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_68325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,sK8,sK1)
| ~ perp(sK14(X2,X3,X4,sK8,sK1),X2,sK8,sK1)
| ~ perp(X0,X1,sK14(X2,X3,X4,sK8,sK1),X2) ),
inference(instantiation,[status(thm)],[c_66856]) ).
tcf(c_71388,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK8,sK1,sK14(X0,X1,X2,sK8,sK1),X0)
| ~ perp(sK14(X0,X1,X2,sK8,sK1),X0,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_67829]) ).
tcf(c_71389,plain,
( perp(sK8,sK1,sK14(sK4,sK4,sK4,sK8,sK1),sK4)
| ~ perp(sK14(sK4,sK4,sK4,sK8,sK1),sK4,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_71388]) ).
tcf(c_73942,plain,
( cyclic(sK1,sK0,sK0,sK2)
| ~ cyclic(sK1,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_75002,plain,
! [X0: $i] :
( midp(sK0,sK4,X0)
| ~ coll(sK0,sK4,X0)
| ~ cong(sK0,sK4,sK0,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_75003,plain,
( midp(sK0,sK4,sK4)
| ~ coll(sK0,sK4,sK4)
| ~ cong(sK0,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_75002]) ).
tcf(c_76642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK7,sK2,X2,X3,sK7,sK2)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_76643,plain,
( eqangle(sK4,sK4,sK7,sK2,sK4,sK4,sK7,sK2)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_76642]) ).
tcf(c_76941,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,sK1,sK8,sK1)
| ~ perp(sK8,sK1,sK14(X0,X1,X2,sK8,sK1),X0)
| ~ perp(sK14(X0,X1,X2,sK8,sK1),X0,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_68325]) ).
tcf(c_76942,plain,
( para(sK8,sK1,sK8,sK1)
| ~ perp(sK8,sK1,sK14(sK4,sK4,sK4,sK8,sK1),sK4)
| ~ perp(sK14(sK4,sK4,sK4,sK8,sK1),sK4,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_76941]) ).
tcf(c_79519,plain,
( cyclic(sK1,sK0,sK2,sK0)
| ~ cyclic(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_80889,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK4,sK0)
| ~ cyclic(X0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_80890,plain,
( cyclic(sK4,sK0,sK4,sK0)
| ~ cyclic(sK4,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80889]) ).
tcf(c_80936,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK4,sK0,sK0)
| ~ cyclic(X0,X1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_80937,plain,
( cyclic(sK4,sK4,sK0,sK0)
| ~ cyclic(sK4,sK4,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_80936]) ).
tcf(c_84924,plain,
! [X0: $i] :
( cyclic(X0,sK1,sK0,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ eqangle(sK0,X0,sK0,sK1,sK0,X0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_85030,plain,
! [X0: $i,X1: $i] :
( perp(sK7,sK2,X0,X1)
| ~ perp(X0,X1,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_85038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK7,sK2,X2,X3)
| ~ perp(sK7,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_85043,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK2,X1,X0)
| ~ para(sK7,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_85070,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK0,sK0)
| ~ coll(sK0,sK0,X0)
| ~ eqangle(sK0,sK1,sK0,X0,sK0,sK1,sK0,X0) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_85073,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK0,sK0)
| ~ cyclic(X0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_85173,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK0,X0,sK0,sK1)
| ~ para(sK0,X0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_85185,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK0,X0,sK0,sK1)
| ~ eqangle(sK0,sK1,sK0,X0,sK0,sK1,sK0,X0) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_85269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,X1,sK0)
| ~ cyclic(X1,X2,X0,sK0)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X1)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,sK0) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_85586,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK1,X1,X0)
| ~ para(sK8,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_85642,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK7,sK2,sK14(X0,X1,X2,sK7,sK2),X0)
| ~ perp(sK14(X0,X1,X2,sK7,sK2),X0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_85030]) ).
tcf(c_85644,plain,
( perp(sK7,sK2,sK14(sK4,sK4,sK4,sK7,sK2),sK4)
| ~ perp(sK14(sK4,sK4,sK4,sK7,sK2),sK4,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_85642]) ).
tcf(c_86313,plain,
perp(sK0,sK1,sK5,sK4),
inference(resolution,[status(thm)],[c_113,c_52]) ).
tcf(c_86599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK7,sK2,X2,X3,X0,X1,X4,X5)
| ~ eqangle(sK7,sK2,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_86601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK7,sK2,X0,X1,X4,X5,X2,X3)
| ~ eqangle(X0,X1,sK7,sK2,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_89097,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK5,sK4,X0,X1) ),
inference(resolution,[status(thm)],[c_104,c_86313]) ).
tcf(c_90088,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK0,X1,sK0)
| ~ cyclic(X1,sK0,X0,sK0)
| ~ cyclic(X1,sK0,X0,X1)
| ~ cyclic(X1,sK0,X0,X0)
| ~ eqangle(X0,X1,X0,sK0,X0,X1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_85269]) ).
tcf(c_90089,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK0,X0,X1,X0,sK0)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_90090,plain,
( cong(sK4,sK0,sK4,sK0)
| ~ cyclic(sK4,sK0,sK4,sK4)
| ~ cyclic(sK4,sK0,sK4,sK0)
| ~ eqangle(sK4,sK4,sK4,sK0,sK4,sK4,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_90088]) ).
tcf(c_90091,plain,
( eqangle(sK4,sK4,sK4,sK0,sK4,sK4,sK4,sK0)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_90089]) ).
tcf(c_90283,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK7,sK8,sK1)
| ~ perp(sK2,sK7,X0,X1)
| ~ perp(X0,X1,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_90286,plain,
( para(sK2,sK7,sK8,sK1)
| ~ perp(sK4,sK4,sK8,sK1)
| ~ perp(sK2,sK7,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_90283]) ).
tcf(c_90511,plain,
para(sK0,sK1,sK0,sK1),
inference(resolution,[status(thm)],[c_89097,c_52]) ).
tcf(c_92350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK1,X3,X2)
| ~ coll(sK1,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_93752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK7,sK2,X3,X4)
| ~ perp(sK7,sK2,sK14(X0,X1,X2,sK7,sK2),X0)
| ~ perp(sK14(X0,X1,X2,sK7,sK2),X0,X3,X4) ),
inference(instantiation,[status(thm)],[c_85038]) ).
tcf(c_93983,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,X0,sK1)
| ~ para(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_94301,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[c_140,c_101]) ).
tcf(c_95560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK7,sK2,X2,X3,sK7,sK2)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_96210,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK7,sK2,sK7,sK2)
| ~ perp(sK7,sK2,sK14(X0,X1,X2,sK7,sK2),X0)
| ~ perp(sK14(X0,X1,X2,sK7,sK2),X0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_93752]) ).
tcf(c_96211,plain,
( para(sK7,sK2,sK7,sK2)
| ~ perp(sK7,sK2,sK14(sK4,sK4,sK4,sK7,sK2),sK4)
| ~ perp(sK14(sK4,sK4,sK4,sK7,sK2),sK4,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_96210]) ).
tcf(c_96570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X2,X0,X1,X3,X2,X3,sK2)
| ~ eqangle(X0,X1,X0,X2,X3,sK2,X3,X2) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_97408,plain,
( para(sK8,sK1,sK1,sK8)
| ~ para(sK8,sK1,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_85586]) ).
tcf(c_98630,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK7,X0,X1)
| ~ cong(sK2,X1,sK7,X1)
| ~ cong(sK2,X0,sK7,X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_98631,plain,
( perp(sK2,sK7,sK4,sK4)
| ~ cong(sK2,sK4,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_98630]) ).
tcf(c_104746,plain,
( para(sK1,sK8,sK8,sK1)
| ~ para(sK8,sK1,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_93983]) ).
tcf(c_105531,plain,
! [X0: $i] :
( cyclic(sK4,sK0,X0,sK4)
| ~ coll(X0,sK4,sK0)
| ~ eqangle(X0,sK4,X0,sK0,sK4,sK4,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_105532,plain,
( cyclic(sK4,sK0,sK4,sK4)
| ~ coll(sK4,sK4,sK0)
| ~ eqangle(sK4,sK4,sK4,sK0,sK4,sK4,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_105531]) ).
tcf(c_108047,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK2,sK7,sK2,X0,X1,sK7,sK2)
| ~ para(sK7,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_95560]) ).
tcf(c_108083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK2,X0,X1,sK7,sK2,X2,X3)
| ~ eqangle(X0,X1,sK7,sK2,X2,X3,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_86601]) ).
tcf(c_108086,plain,
( eqangle(sK7,sK2,sK4,sK4,sK7,sK2,sK4,sK4)
| ~ eqangle(sK4,sK4,sK7,sK2,sK4,sK4,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_108083]) ).
tcf(c_108295,plain,
( para(sK7,sK2,sK2,sK7)
| ~ para(sK7,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_85043]) ).
tcf(c_109631,plain,
( cyclic(sK1,sK2,sK0,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ eqangle(sK0,sK1,sK0,sK2,sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_85070]) ).
tcf(c_110579,plain,
! [X0: $i] :
( cyclic(sK1,X0,sK0,sK0)
| ~ coll(sK0,sK0,X0) ),
inference(resolution,[status(thm)],[c_94301,c_90511]) ).
tcf(c_110885,plain,
! [X0: $i] : cyclic(sK1,X0,sK0,sK0),
inference(global_subsumption_just,[status(thm)],[c_110579,c_52,c_2396,c_5147,c_11862,c_12487,c_84924,c_85073,c_85185]) ).
tcf(c_112295,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK0,X1,sK0)
| ~ cyclic(sK1,X0,sK0,X1) ),
inference(resolution,[status(thm)],[c_143,c_110885]) ).
tcf(c_112762,plain,
! [X0: $i] : cyclic(X0,sK0,sK0,sK0),
inference(resolution,[status(thm)],[c_112295,c_110885]) ).
tcf(c_113013,plain,
! [X0: $i] : cyclic(sK0,X0,sK0,sK0),
inference(resolution,[status(thm)],[c_112762,c_144]) ).
tcf(c_113018,plain,
cyclic(sK0,sK4,sK0,sK0),
inference(instantiation,[status(thm)],[c_113013]) ).
tcf(c_114187,plain,
( eqangle(sK7,sK2,sK7,sK2,sK2,sK7,sK7,sK2)
| ~ para(sK7,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_108047]) ).
tcf(c_114784,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK2,sK7,sK2,X0,X1,X0,X1)
| ~ eqangle(sK7,sK2,X0,X1,sK7,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_86599]) ).
tcf(c_114787,plain,
( eqangle(sK7,sK2,sK7,sK2,sK4,sK4,sK4,sK4)
| ~ eqangle(sK7,sK2,sK4,sK4,sK7,sK2,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_114784]) ).
tcf(c_115466,plain,
! [X0: $i] :
( cyclic(X0,sK4,sK0,sK4)
| ~ cyclic(X0,sK0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_115467,plain,
( cyclic(sK4,sK4,sK0,sK4)
| ~ cyclic(sK4,sK0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_115466]) ).
tcf(c_119225,plain,
( eqangle(sK0,sK1,sK0,sK2,sK0,sK1,sK0,sK2)
| ~ eqangle(sK0,sK2,sK0,sK1,sK0,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_96570]) ).
tcf(c_119230,plain,
( eqangle(sK0,sK2,sK0,sK1,sK0,sK2,sK0,sK1)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_85173]) ).
tcf(c_121156,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_121157,plain,
( cong(sK4,sK5,sK4,sK5)
| ~ midp(sK4,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_121156]) ).
tcf(c_122505,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK1,X2,X1)
| ~ midp(sK0,X2,X0)
| ~ coll(sK1,X2,X1)
| ~ para(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_92350]) ).
tcf(c_122511,plain,
( midp(sK1,sK4,sK4)
| ~ midp(sK0,sK4,sK4)
| ~ coll(sK1,sK4,sK4)
| ~ para(sK0,sK1,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_122505]) ).
tcf(c_152782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK7,sK2,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK7,sK2,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_152809,plain,
! [X0: $i] :
( cyclic(sK0,sK4,sK0,sK4)
| ~ cyclic(X0,sK0,sK4,sK4)
| ~ cyclic(X0,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_152810,plain,
( cyclic(sK0,sK4,sK0,sK4)
| ~ cyclic(sK4,sK0,sK4,sK4)
| ~ cyclic(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_152809]) ).
tcf(c_152973,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK4,sK0)
| ~ cyclic(X0,X1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_152974,plain,
( cyclic(sK4,sK4,sK4,sK0)
| ~ cyclic(sK4,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_152973]) ).
tcf(c_153270,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK2)
| ~ perp(sK7,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_153552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK7,sK2,X4,X5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK7,sK2,X4,X5) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_153553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK7,sK2,X0,X1,X4,X5,X2,X3)
| ~ eqangle(X0,X1,sK7,sK2,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_154764,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,X2,sK8)
| ~ para(X0,X1,sK8,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_155598,plain,
! [X0: $i,X1: $i] :
( cong(sK2,X1,sK7,X1)
| ~ midp(X1,sK2,X0)
| ~ perp(sK2,sK7,sK7,X0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_155685,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_98]) ).
tcf(c_165058,plain,
( eqangle(sK7,sK2,sK7,sK2,sK7,sK2,sK2,sK7)
| ~ eqangle(sK7,sK2,sK7,sK2,sK2,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_153553]) ).
tcf(c_169530,plain,
( para(sK1,sK8,sK1,sK8)
| ~ para(sK1,sK8,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_154764]) ).
tcf(c_169667,plain,
( eqangle(sK7,sK2,sK2,sK7,sK7,sK2,sK7,sK2)
| ~ eqangle(sK7,sK2,sK7,sK2,sK7,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_153552]) ).
tcf(c_175205,plain,
( perp(sK7,sK2,sK2,sK7)
| ~ perp(sK7,sK2,sK7,sK2)
| ~ eqangle(sK7,sK2,sK2,sK7,sK7,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_152782]) ).
tcf(c_178451,plain,
! [X0: $i,X1: $i] :
( perp(sK7,sK2,sK7,sK2)
| ~ perp(X0,X1,X0,X1)
| ~ eqangle(sK7,sK2,sK7,sK2,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_152782]) ).
tcf(c_178452,plain,
( perp(sK7,sK2,sK7,sK2)
| ~ perp(sK4,sK4,sK4,sK4)
| ~ eqangle(sK7,sK2,sK7,sK2,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_178451]) ).
tcf(c_180582,plain,
( perp(sK2,sK7,sK7,sK2)
| ~ perp(sK7,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_153270]) ).
tcf(c_186200,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK1,sK1)
| ~ para(sK1,sK8,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_155685]) ).
tcf(c_186201,plain,
( midp(sK4,sK8,sK8)
| ~ midp(sK4,sK1,sK1)
| ~ para(sK1,sK8,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_186200]) ).
tcf(c_191049,plain,
! [X0: $i] :
( cong(sK2,X0,sK7,X0)
| ~ midp(X0,sK2,sK2)
| ~ perp(sK2,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_155598]) ).
tcf(c_191051,plain,
( cong(sK2,sK4,sK7,sK4)
| ~ midp(sK4,sK2,sK2)
| ~ perp(sK2,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_191049]) ).
tcf(c_191052,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_191051,c_186201,c_180582,c_178452,c_175205,c_169667,c_169530,c_165058,c_152974,c_152810,c_122511,c_121157,c_119230,c_119225,c_115467,c_114787,c_114187,c_113018,c_109631,c_108295,c_108086,c_105532,c_104746,c_98631,c_97408,c_96211,c_90286,c_90091,c_90090,c_85644,c_80937,c_80890,c_79519,c_76942,c_76643,c_75003,c_73942,c_71389,c_67740,c_64524,c_52938,c_47186,c_45792,c_45420,c_41414,c_39615,c_39513,c_39021,c_37316,c_37238,c_29932,c_28773,c_28715,c_27531,c_27396,c_27323,c_23223,c_22555,c_21929,c_20934,c_20933,c_19671,c_17419,c_15578,c_15573,c_15455,c_14785,c_14360,c_13174,c_12833,c_12798,c_11850,c_11147,c_10141,c_8273,c_8139,c_8016,c_7243,c_6640,c_6331,c_5982,c_5717,c_5714,c_5149,c_5147,c_5060,c_4902,c_4897,c_4108,c_2922,c_2742,c_2715,c_2397,c_2396,c_2395,c_2394,c_199,c_160,c_157,c_155,c_49,c_50,c_52,c_54,c_57,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO626+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n020.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Wed Sep 23 12:36:46 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/10.45 Running first-order theorem proving
% 0.17/10.45 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
% 0.17/10.46
% 0.17/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.17/10.46
% 0.17/10.46 % Detected problem language: tptp
% 0.17/10.48 % Proving...
% 95.16/32.16 % SZS status Started for theBenchmark.p
% 95.16/32.16 % SZS status Theorem for theBenchmark.p
% 95.16/32.16
% 95.16/32.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 95.16/32.16
% 95.16/32.16 % ------ iProver source info
% 95.16/32.16
% 95.16/32.16 % git: date: 2026-07-19 20:42:38 +0200
% 95.16/32.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 95.16/32.16 % git: non_committed_changes: false
% 95.16/32.16
% 95.16/32.16 % ------ Parsing...
% 95.16/32.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 95.16/32.16
% 95.16/32.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 95.16/32.16
% 95.16/32.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 95.16/32.16 % ------ Proving...
% 95.16/32.16 % ------ Problem Properties
% 95.16/32.16
% 95.16/32.16 %
% 95.16/32.16 % clauses 98
% 95.16/32.16 % conjectures 11
% 95.16/32.16 % EPR 65
% 95.16/32.16 % Horn 93
% 95.16/32.16 % unary 11
% 95.16/32.16 % binary 24
% 95.16/32.16 % lits 267
% 95.16/32.16 % lits eq 0
% 95.16/32.16 % fd_pure 0
% 95.16/32.16 % fd_pseudo 0
% 95.16/32.16 % fd_cond 0
% 95.16/32.16 % fd_pseudo_cond 0
% 95.16/32.16 % AC symbols 0
% 95.16/32.16
% 95.16/32.16 % ------ Schedule dynamic 5 is on
% 95.16/32.16
% 95.16/32.16 % ------ no equalities: superposition off
% 95.16/32.16
% 95.16/32.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 95.16/32.16
% 95.16/32.16
% 95.16/32.16 % ------
% 95.16/32.16 % Current options:
% 95.16/32.16 % ------
% 95.16/32.16
% 95.16/32.16
% 95.16/32.16 %
% 95.16/32.16
% 95.16/32.16 % ------ Proving...
% 95.16/32.16 % Proof_search_loop: time out after: 5705 full_loop iterations
% 95.16/32.16
% 95.16/32.16 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 95.16/32.16
% 95.16/32.16
% 95.16/32.16 % ------
% 95.16/32.16 % Current options:
% 95.16/32.16 % ------
% 95.16/32.16
% 95.16/32.16
% 95.16/32.16 %
% 95.16/32.16
% 95.16/32.16 % ------ Proving...
% 95.16/32.16 %
% 95.16/32.16
% 95.16/32.16 % SZS status Theorem for theBenchmark.p
% 95.16/32.16
% 95.16/32.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 95.16/32.17
% 95.16/32.17
%------------------------------------------------------------------------------