%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO576+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 01:21:31 PM UTC 2026
% Result : Theorem 67.93s 10.85s
% Output : CNFRefutation 67.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 42
% Syntax : Number of formulae : 610 ( 149 unt; 0 def)
% Number of atoms : 1338 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1356 ( 628 ~; 626 |; 59 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 1262 ( 0 sgn1244 !; 18 ?; 491 :)
% 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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/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(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(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(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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X1,X2)
& perp(X0,X2,X5,X6)
& coll(X5,X0,X3)
& circle(X4,X0,X5,X7)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214038) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X1,X2)
& perp(X0,X2,X5,X6)
& coll(X5,X0,X3)
& circle(X4,X0,X5,X7)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f122,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(f123,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(f124,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(f125,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(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,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(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,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(f149,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(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,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(f152,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,[],[f151]) ).
fof(f153,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(f154,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,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,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(f160,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,[],[f159]) ).
fof(f164,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(f165,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,[],[f164]) ).
fof(f166,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(f167,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,[],[f166]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,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(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,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(f194,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,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X1,X2)
& perp(X0,X2,X5,X6)
& coll(X5,X0,X3)
& circle(X4,X0,X5,X7)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X1,X2)
& perp(X0,X2,X5,X6)
& coll(X5,X0,X3)
& circle(X4,X0,X5,X7)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( coll(sK26,sK21,sK22)
& perp(sK20,sK22,sK25,sK26)
& coll(sK25,sK20,sK23)
& circle(sK24,sK20,sK25,sK27)
& circle(sK24,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& perp(sK23,sK20,sK21,sK22)
& ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f288,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,[],[f122]) ).
fof(f289,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,[],[f123]) ).
fof(f290,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,[],[f124]) ).
fof(f291,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,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,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,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,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,[],[f152]) ).
fof(f313,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,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,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,[],[f160]) ).
fof(f319,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,[],[f165]) ).
fof(f320,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,[],[f167]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,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,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f344,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,[],[f209]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f384,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK20,sK22,sK25,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
circle(sK24,sK20,sK25,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,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,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_66,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,[],[f288]) ).
tcf(c_67,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,[],[f289]) ).
tcf(c_68,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,[],[f290]) ).
tcf(c_69,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,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,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,[],[f295]) ).
tcf(c_87,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,[],[f309]) ).
tcf(c_88,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,[],[f310]) ).
tcf(c_89,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,[],[f311]) ).
tcf(c_90,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,[],[f312]) ).
tcf(c_91,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,[],[f313]) ).
tcf(c_92,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,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,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,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_98,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,[],[f320]) ).
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,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,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,[],[f326]) ).
tcf(c_105,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,[],[f327]) ).
tcf(c_112,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,[],[f334]) ).
tcf(c_113,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,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_122,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,[],[f344]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_162,negated_conjecture,
~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26),
inference(cnf_transformation,[],[f391]) ).
tcf(c_163,negated_conjecture,
perp(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_164,negated_conjecture,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_165,negated_conjecture,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_166,negated_conjecture,
circle(sK24,sK20,sK25,sK27),
inference(cnf_transformation,[],[f387]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f386]) ).
tcf(c_168,negated_conjecture,
perp(sK20,sK22,sK25,sK26),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,negated_conjecture,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_175,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_179,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_184,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_233,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK22 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK24 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_165]) ).
tcf(c_2175,plain,
perp(sK11(sK20,sK21,sK22,sK24),sK20,sK20,sK24),
inference(unflattening,[status(thm)],[c_2174]) ).
tcf(c_2179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ( X3 != sK22 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK24 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_165]) ).
tcf(c_2180,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(unflattening,[status(thm)],[c_2179]) ).
tcf(c_6363,plain,
( coll(sK25,sK23,sK20)
| ~ coll(sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6370,plain,
( perp(sK21,sK22,sK23,sK20)
| ~ perp(sK23,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6371,plain,
( perp(sK25,sK26,sK20,sK22)
| ~ perp(sK20,sK22,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ perp(sK23,sK20,sK21,sK22)
| ~ perp(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6400,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ circle(sK24,sK20,sK21,sK22)
| ~ perp(sK24,sK20,sK20,X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_6416,plain,
( coll(sK23,sK25,sK20)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6466,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_164,c_49]) ).
tcf(c_6467,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_6471,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_50]) ).
tcf(c_6472,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_6490,plain,
coll(sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_6467,c_50]) ).
tcf(c_6496,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(sK25,sK26,sK20,sK22)
| ~ perp(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6505,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_6471,c_49]) ).
tcf(c_6507,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_6472,c_49]) ).
tcf(c_6514,plain,
( perp(sK20,sK24,sK11(sK20,sK21,sK22,sK24),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK24),sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6515,plain,
( perp(sK11(sK20,sK21,sK22,sK24),sK20,sK24,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK24),sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6594,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6627,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6594,c_72]) ).
tcf(c_6635,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6627,c_71]) ).
tcf(c_6651,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
tcf(c_6652,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_6654,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_6466,c_51]) ).
tcf(c_6655,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_6467,c_51]) ).
tcf(c_6657,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_6471,c_51]) ).
tcf(c_6658,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6472,c_51]) ).
tcf(c_6660,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_6507,c_51]) ).
tcf(c_6662,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_6490,c_51]) ).
tcf(c_6664,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6505,c_51]) ).
tcf(c_6674,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6662]) ).
tcf(c_6713,plain,
( para(sK21,sK22,sK21,sK22)
| ~ perp(sK21,sK22,sK23,sK20)
| ~ perp(sK23,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6382]) ).
tcf(c_6734,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_6651]) ).
tcf(c_6735,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6734,c_51]) ).
tcf(c_6737,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_6734,c_49]) ).
tcf(c_6739,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK23,X0) ),
inference(superposition,[status(thm)],[c_6737,c_51]) ).
tcf(c_6762,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_167,c_6652]) ).
tcf(c_6763,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6762,c_51]) ).
tcf(c_6810,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_6466,c_6654]) ).
tcf(c_6834,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6810,c_49]) ).
tcf(c_6873,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6467,c_6655]) ).
tcf(c_6877,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6873,c_49]) ).
tcf(c_6901,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_6471,c_6657]) ).
tcf(c_6902,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_6834,c_6657]) ).
tcf(c_6908,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6901,c_51]) ).
tcf(c_6911,plain,
( coll(sK21,sK20,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6908]) ).
tcf(c_6920,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_6472,c_6658]) ).
tcf(c_6943,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6877,c_51]) ).
tcf(c_6947,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6943]) ).
tcf(c_6964,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_6902,c_50]) ).
tcf(c_6988,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6734,c_6735]) ).
tcf(c_6991,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6988,c_51]) ).
tcf(c_6993,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_6988,c_49]) ).
tcf(c_7014,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_6988,c_6763]) ).
tcf(c_7083,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_50]) ).
tcf(c_7084,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_7105,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_7083,c_49]) ).
tcf(c_7107,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_7084,c_49]) ).
tcf(c_7152,plain,
perp(sK21,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_7162,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7107,c_6660]) ).
tcf(c_7201,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_7105,c_6664]) ).
tcf(c_7266,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7201,c_51]) ).
tcf(c_7273,plain,
( coll(sK21,sK20,sK23)
| ~ coll(sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7266]) ).
tcf(c_7281,plain,
( perp(sK20,sK24,sK20,sK11(sK20,sK21,sK22,sK24))
| ~ perp(sK20,sK24,sK11(sK20,sK21,sK22,sK24),sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_7290,plain,
( perp(sK24,sK20,sK11(sK20,sK21,sK22,sK24),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK24),sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7292,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK24,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK24),sK20,sK24,sK20)
| ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK24),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7395,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_7397,plain,
( eqangle(sK21,sK22,sK20,sK20,sK21,sK22,sK20,sK20)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_7395]) ).
tcf(c_7403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK21,sK22,sK21,sK22)
| ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_7404,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK21,sK22,sK21,sK22)
| ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_7403]) ).
tcf(c_7660,plain,
( para(sK20,sK22,sK20,sK22)
| ~ perp(sK25,sK26,sK20,sK22)
| ~ perp(sK20,sK22,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_6496]) ).
tcf(c_7734,plain,
perp(sK23,sK20,sK22,sK21),
inference(resolution,[status(thm)],[c_55,c_163]) ).
tcf(c_7794,plain,
perp(sK21,sK22,sK23,sK20),
inference(resolution,[status(thm)],[c_56,c_163]) ).
tcf(c_7795,plain,
perp(sK25,sK26,sK20,sK22),
inference(resolution,[status(thm)],[c_56,c_168]) ).
tcf(c_7843,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7152,c_57]) ).
tcf(c_7854,plain,
( para(sK21,sK22,sK20,sK20)
| ~ perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7843]) ).
tcf(c_8122,plain,
( para(sK20,sK22,sK22,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_8379,plain,
( coll(sK24,sK20,sK22)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8393,plain,
! [X0: $i] :
( coll(sK21,sK23,X0)
| ~ coll(sK21,X0,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8394,plain,
( coll(sK21,sK23,sK20)
| ~ coll(sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_8393]) ).
tcf(c_8398,plain,
! [X0: $i] :
( coll(sK22,sK22,X0)
| ~ coll(sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8399,plain,
( coll(sK22,sK22,sK20)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8398]) ).
tcf(c_8647,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK24,X2,X0)
| ~ coll(X0,X1,sK24)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8919,plain,
( perp(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK24)
| ~ perp(sK20,sK24,sK20,sK11(sK20,sK21,sK22,sK24)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_9038,plain,
( perp(sK24,sK20,sK20,sK11(sK20,sK21,sK22,sK24))
| ~ perp(sK24,sK20,sK11(sK20,sK21,sK22,sK24),sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_9283,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_164,c_49]) ).
tcf(c_9289,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_9353,plain,
perp(sK23,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_55]) ).
tcf(c_9357,plain,
perp(sK21,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_9358,plain,
perp(sK25,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_9378,plain,
perp(sK21,sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_9357,c_55]) ).
tcf(c_9380,plain,
perp(sK25,sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_9358,c_55]) ).
tcf(c_9399,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_9289,c_51]) ).
tcf(c_9411,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_6993,c_51]) ).
tcf(c_9479,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_9283,c_9411]) ).
tcf(c_9484,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_9479,c_49]) ).
tcf(c_9548,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_9289,c_9399]) ).
tcf(c_9590,plain,
( cong(sK23,sK22,sK23,sK21)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_9353,c_104]) ).
tcf(c_9596,plain,
( cong(sK21,sK20,sK21,sK23)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_9378,c_104]) ).
tcf(c_9644,plain,
( cong(sK23,sK21,sK23,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_9590,c_72]) ).
tcf(c_9659,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK25,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_9665,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK26,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_9358,c_57]) ).
tcf(c_9713,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_9358,c_9659]) ).
tcf(c_9714,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_9380,c_9659]) ).
tcf(c_9728,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_9713,c_115]) ).
tcf(c_9731,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_9714,c_53]) ).
tcf(c_9768,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_9728,c_50]) ).
tcf(c_9780,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_9731,c_52]) ).
tcf(c_9885,plain,
( cong(sK21,sK23,sK21,sK20)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_9596,c_72]) ).
tcf(c_9921,plain,
para(sK25,sK26,sK25,sK26),
inference(superposition,[status(thm)],[c_168,c_9665]) ).
tcf(c_9953,plain,
( midp(sK23,sK21,sK22)
| ~ midp(sK20,sK22,sK21)
| ~ coll(sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_9644,c_116]) ).
tcf(c_9957,plain,
( midp(sK23,sK21,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9953,c_164]) ).
tcf(c_10396,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_88,c_91]) ).
tcf(c_10400,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10396]) ).
tcf(c_10403,plain,
( para(sK24,sK20,sK24,sK20)
| ~ perp(sK24,sK20,sK11(sK20,sK21,sK22,sK24),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK24),sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_7292]) ).
tcf(c_10430,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_9731,c_94]) ).
tcf(c_10433,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10430]) ).
tcf(c_10456,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,sK21,sK22,X0,X1,X0,X1)
| ~ eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10462,plain,
( eqangle(sK21,sK22,sK21,sK22,sK20,sK20,sK20,sK20)
| ~ eqangle(sK21,sK22,sK20,sK20,sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10456]) ).
tcf(c_11049,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK26)
| ~ perp(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_57,c_168]) ).
tcf(c_11057,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(X0,X1,sK25,sK26) ),
inference(resolution,[status(thm)],[c_57,c_7795]) ).
tcf(c_11199,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,X0,X1,sK22,sK20,X0,X1)
| ~ para(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_11201,plain,
( eqangle(sK20,sK22,sK20,sK20,sK22,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_11199]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK22)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_58,c_163]) ).
tcf(c_12343,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK21)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_58,c_7734]) ).
tcf(c_12347,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK23,sK20)
| ~ para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_58,c_7794]) ).
tcf(c_12349,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ para(X0,X1,sK25,sK26) ),
inference(resolution,[status(thm)],[c_58,c_7795]) ).
tcf(c_12483,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK26,sK25,sK26) ),
inference(superposition,[status(thm)],[c_9921,c_113]) ).
tcf(c_12499,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12483,c_9921]) ).
tcf(c_12502,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_12499]) ).
tcf(c_12627,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X0,X1)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_12339,c_56]) ).
tcf(c_12629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK21,sK22)
| ~ para(X2,X3,sK23,sK20)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_12339,c_57]) ).
tcf(c_12862,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK21,X0,X1)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_12343,c_56]) ).
tcf(c_12939,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK20,X0,X1)
| ~ para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_12347,c_56]) ).
tcf(c_12986,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,sK24)
| ~ coll(sK24,X0,sK20)
| ~ coll(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_12987,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12986]) ).
tcf(c_13011,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ para(X0,X1,sK25,sK26) ),
inference(resolution,[status(thm)],[c_12349,c_56]) ).
tcf(c_13080,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_9484,c_51]) ).
tcf(c_13109,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X1,X0)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_12627,c_55]) ).
tcf(c_13257,plain,
coll(sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_9548,c_13080]) ).
tcf(c_13290,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_13257,c_49]) ).
tcf(c_14365,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK24)
| ~ perp(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK24)
| ~ perp(X0,X1,sK20,sK11(sK20,sK21,sK22,sK24)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_14366,plain,
( para(sK20,sK20,sK20,sK24)
| ~ perp(sK20,sK20,sK20,sK11(sK20,sK21,sK22,sK24))
| ~ perp(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK24) ),
inference(instantiation,[status(thm)],[c_14365]) ).
tcf(c_14387,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_14391,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_50]) ).
tcf(c_14392,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_14400,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_13290,c_50]) ).
tcf(c_14457,plain,
perp(sK23,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_55]) ).
tcf(c_14461,plain,
perp(sK21,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_14462,plain,
perp(sK25,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_14481,plain,
perp(sK22,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_14457,c_56]) ).
tcf(c_14486,plain,
perp(sK21,sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_14461,c_55]) ).
tcf(c_14490,plain,
perp(sK22,sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_14481,c_55]) ).
tcf(c_14493,plain,
perp(sK20,sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_14486,c_56]) ).
tcf(c_14500,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
tcf(c_14504,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_14387,c_51]) ).
tcf(c_14506,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_14391,c_51]) ).
tcf(c_14507,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_14392,c_51]) ).
tcf(c_14514,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_13290,c_51]) ).
tcf(c_14521,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_14514]) ).
tcf(c_14541,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_14500]) ).
tcf(c_14544,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_14541,c_49]) ).
tcf(c_14611,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_13290,c_14506]) ).
tcf(c_14643,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_14392,c_14507]) ).
tcf(c_14671,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_14694,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK20,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
tcf(c_14695,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK25,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_14700,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_14481,c_57]) ).
tcf(c_14707,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_14457,c_14700]) ).
tcf(c_14730,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_14671,c_56]) ).
tcf(c_14756,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_14486,c_14694]) ).
tcf(c_14800,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_14462,c_14695]) ).
tcf(c_14822,plain,
para(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_14756,c_53]) ).
tcf(c_14828,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_14800,c_115]) ).
tcf(c_14905,plain,
( para(sK23,sK20,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_14730,c_14694]) ).
tcf(c_14994,plain,
( para(sK20,sK21,sK23,sK20)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_14905,c_53]) ).
tcf(c_15041,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_14707,c_94]) ).
tcf(c_15044,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_14800,c_94]) ).
tcf(c_15155,plain,
( para(sK20,sK21,sK20,sK23)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_14994,c_52]) ).
tcf(c_15171,plain,
! [X0: $i] :
( midp(sK21,X0,sK23)
| ~ coll(sK24,sK20,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_15155,c_94]) ).
tcf(c_15174,plain,
( para(sK20,sK23,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_15155,c_53]) ).
tcf(c_15179,plain,
( midp(sK21,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK23)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_15171]) ).
tcf(c_15500,plain,
! [X0: $i] :
( midp(X0,sK21,sK23)
| ~ coll(sK24,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_15155,c_113]) ).
tcf(c_15519,plain,
( midp(sK20,sK21,sK23)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK24,sK20,sK22)
| ~ para(sK20,sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_15500]) ).
tcf(c_15656,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_7014,c_49]) ).
tcf(c_16241,plain,
( eqangle(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK21,sK22,sK20,sK22,sK21)
| ~ circle(sK24,sK20,sK21,sK22)
| ~ perp(sK24,sK20,sK20,sK11(sK20,sK21,sK22,sK24)) ),
inference(instantiation,[status(thm)],[c_6400]) ).
tcf(c_16332,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_14611,c_50]) ).
tcf(c_16793,plain,
( para(sK22,sK21,sK20,sK22)
| ~ para(sK25,sK26,sK23,sK20) ),
inference(resolution,[status(thm)],[c_12862,c_11057]) ).
tcf(c_16919,plain,
( cong(sK22,sK20,sK22,sK23)
| ~ midp(sK21,sK20,sK23) ),
inference(superposition,[status(thm)],[c_14490,c_104]) ).
tcf(c_17017,plain,
( coll(sK22,sK20,sK20)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_17119,plain,
( para(sK23,sK20,sK25,sK26)
| ~ para(sK20,sK22,sK21,sK22) ),
inference(resolution,[status(thm)],[c_12939,c_11049]) ).
tcf(c_17166,plain,
( coll(sK24,sK20,sK20)
| ~ para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_17210,plain,
( cong(sK20,sK21,sK20,sK22)
| ~ midp(sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_14493,c_104]) ).
tcf(c_17220,plain,
( para(sK25,sK26,sK23,sK20)
| ~ para(sK20,sK22,sK21,sK22) ),
inference(resolution,[status(thm)],[c_17119,c_53]) ).
tcf(c_17274,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,sK21,sK22)
| ~ para(X0,X1,sK25,sK26)
| ~ para(X0,X1,sK23,sK20) ),
inference(resolution,[status(thm)],[c_13011,c_12629]) ).
tcf(c_17277,plain,
( para(sK20,sK22,sK21,sK22)
| ~ para(sK20,sK20,sK25,sK26)
| ~ para(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_17274]) ).
tcf(c_17292,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_14822,c_94]) ).
tcf(c_17476,plain,
( para(sK21,sK22,sK25,sK26)
| ~ para(sK22,sK20,sK23,sK20) ),
inference(resolution,[status(thm)],[c_13109,c_11049]) ).
tcf(c_17591,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK26)
| ~ para(sK22,sK20,sK23,sK20)
| ~ para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_17476,c_54]) ).
tcf(c_17592,plain,
( para(sK20,sK20,sK25,sK26)
| ~ para(sK22,sK20,sK23,sK20)
| ~ para(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_17591]) ).
tcf(c_17803,plain,
( midp(sK22,sK20,sK23)
| ~ midp(sK21,sK20,sK23)
| ~ coll(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_16919,c_116]) ).
tcf(c_18122,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK21,sK22,sK21,sK22)
| ~ eqangle(sK21,sK22,sK21,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_18126,plain,
( eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK21,sK22)
| ~ eqangle(sK21,sK22,sK21,sK22,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18122]) ).
tcf(c_18540,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ perp(sK24,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_97,c_165]) ).
tcf(c_18546,plain,
( midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,sK22)
| ~ coll(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_17210,c_116]) ).
tcf(c_18575,plain,
! [X0: $i] :
( perp(X0,sK20,sK20,sK11(sK20,sK21,sK22,sK24))
| ~ circle(X0,sK20,sK21,sK22)
| ~ eqangle(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_18576,plain,
( perp(sK20,sK20,sK20,sK11(sK20,sK21,sK22,sK24))
| ~ circle(sK20,sK20,sK21,sK22)
| ~ eqangle(sK20,sK11(sK20,sK21,sK22,sK24),sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_18575]) ).
tcf(c_18628,plain,
( coll(sK20,sK22,sK20)
| cyclic(sK20,sK21,sK20,sK22)
| ~ perp(sK24,sK20,sK20,sK20) ),
inference(resolution,[status(thm)],[c_18540,c_90]) ).
tcf(c_18861,plain,
coll(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_14544,c_6739]) ).
tcf(c_18876,plain,
( midp(sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_18861,c_15044]) ).
tcf(c_18979,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK22,X0,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_18980,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18979]) ).
tcf(c_19012,plain,
coll(sK20,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_18628,c_9780,c_17017,c_18980]) ).
tcf(c_19019,plain,
coll(sK20,sK20,sK22),
inference(resolution,[status(thm)],[c_19012,c_49]) ).
tcf(c_19082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK22,sK20,X4,X5)
| ~ eqangle(sK20,sK22,X4,X5,sK22,sK20,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK20,sK22,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_19083,plain,
( eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK20,sK20)
| ~ eqangle(sK20,sK22,sK20,sK20,sK22,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19082]) ).
tcf(c_20383,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_14643,c_6991]) ).
tcf(c_20385,plain,
( midp(sK22,sK20,sK23)
| ~ midp(sK21,sK20,sK23) ),
inference(backward_subsumption_resolution,[status(thm)],[c_17803,c_20383]) ).
tcf(c_20438,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ para(sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_20439,plain,
( para(sK20,sK20,sK21,sK22)
| ~ para(sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20438]) ).
tcf(c_20603,plain,
( midp(sK23,sK21,sK20)
| ~ midp(sK20,sK21,sK23) ),
inference(superposition,[status(thm)],[c_14400,c_17292]) ).
tcf(c_20812,plain,
! [X0: $i] :
( coll(sK21,sK20,sK20)
| ~ coll(sK20,X0,sK21)
| ~ coll(sK20,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_20813,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20812]) ).
tcf(c_20839,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK23,sK20)
| ~ perp(sK23,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_20840,plain,
( perp(sK20,sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20839]) ).
tcf(c_21285,plain,
( para(sK22,sK21,sK20,sK22)
| ~ para(sK20,sK22,sK21,sK22) ),
inference(resolution,[status(thm)],[c_17220,c_16793]) ).
tcf(c_21509,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_15656,c_14504]) ).
tcf(c_21601,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_21509,c_51]) ).
tcf(c_21678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK23,sK20)
| ~ perp(X2,X3,sK23,sK20)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_21679,plain,
( para(sK20,sK20,sK23,sK20)
| ~ perp(sK20,sK20,sK23,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21678]) ).
tcf(c_22464,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_16332,c_49]) ).
tcf(c_22466,plain,
( midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_18546,c_22464]) ).
tcf(c_22543,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_14828,c_21601]) ).
tcf(c_23121,plain,
! [X0: $i] :
( coll(sK24,sK22,sK20)
| ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_8647]) ).
tcf(c_23122,plain,
( coll(sK24,sK22,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_23121]) ).
tcf(c_23869,plain,
( eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26)
| ~ eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_24104,plain,
( midp(sK21,sK22,sK21)
| ~ midp(sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_6964,c_15041]) ).
tcf(c_24243,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_24244,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_24254,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_22464,c_50]) ).
tcf(c_24255,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_22464,c_49]) ).
tcf(c_24257,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_22543,c_49]) ).
tcf(c_24265,plain,
coll(sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_24243,c_50]) ).
tcf(c_24267,plain,
coll(sK22,sK26,sK21),
inference(superposition,[status(thm)],[c_24244,c_50]) ).
tcf(c_24288,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_24254,c_49]) ).
tcf(c_24291,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_24288,c_50]) ).
tcf(c_24296,plain,
coll(sK22,sK21,sK26),
inference(superposition,[status(thm)],[c_24267,c_49]) ).
tcf(c_24313,plain,
perp(sK23,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_55]) ).
tcf(c_24317,plain,
perp(sK21,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_24318,plain,
perp(sK25,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_24331,plain,
perp(sK22,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_24313,c_56]) ).
tcf(c_24338,plain,
perp(sK25,sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_24318,c_55]) ).
tcf(c_24359,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_24409,plain,
coll(sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_24257,c_24359]) ).
tcf(c_24442,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_24409,c_49]) ).
tcf(c_24549,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_24566,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_24549,c_2175,c_2180,c_6515,c_7290,c_8379,c_10403,c_12987,c_17166,c_19019,c_23122]) ).
tcf(c_24568,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_24566,c_56]) ).
tcf(c_24569,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_24566,c_55]) ).
tcf(c_24570,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_24566,c_101]) ).
tcf(c_24578,plain,
perp(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_24568,c_55]) ).
tcf(c_24579,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_24569,c_56]) ).
tcf(c_24584,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_24570,c_71]) ).
tcf(c_24585,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_24584]) ).
tcf(c_24604,plain,
( cong(sK23,sK21,sK23,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_163,c_104]) ).
tcf(c_24610,plain,
( cong(sK21,sK23,sK21,sK20)
| ~ midp(sK22,sK23,sK20) ),
inference(superposition,[status(thm)],[c_24317,c_104]) ).
tcf(c_24612,plain,
( cong(sK22,sK23,sK22,sK20)
| ~ midp(sK21,sK23,sK20) ),
inference(superposition,[status(thm)],[c_24331,c_104]) ).
tcf(c_24617,plain,
( cong(sK20,sK22,sK20,sK21)
| ~ midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_24569,c_104]) ).
tcf(c_24627,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK20,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
tcf(c_24628,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK25,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_24633,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_24317,c_57]) ).
tcf(c_24634,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK26,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_24318,c_57]) ).
tcf(c_24640,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_24569,c_57]) ).
tcf(c_24657,plain,
perp(sK22,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_24579,c_55]) ).
tcf(c_24690,plain,
para(sK23,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_24578,c_24627]) ).
tcf(c_24694,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_24338,c_24628]) ).
tcf(c_24713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ midp(X0,X1,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_24716,plain,
! [X0: $i] :
( circle(sK23,sK21,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK23,sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_24604,c_60]) ).
tcf(c_24726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X0,X4,X2,X3)
| ~ midp(X0,X4,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
tcf(c_24776,plain,
para(sK21,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_24690,c_53]) ).
tcf(c_24820,plain,
cong(sK21,sK23,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_24610,c_163,c_175,c_179,c_233,c_2175,c_6370,c_6515,c_6713,c_6877,c_6920,c_6947,c_7273,c_7290,c_7397,c_7404,c_8379,c_9885,c_10400,c_10403,c_10462,c_12987,c_15179,c_17166,c_18126,c_19019,c_20385,c_23122]) ).
tcf(c_24822,plain,
! [X0: $i] :
( circle(sK21,sK23,sK20,X0)
| ~ midp(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_24820,c_24713]) ).
tcf(c_24823,plain,
! [X0: $i] :
( circle(sK21,sK23,X0,sK20)
| ~ cong(sK21,sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_24820,c_60]) ).
tcf(c_24824,plain,
( midp(sK21,sK23,sK20)
| ~ coll(sK21,sK23,sK20) ),
inference(superposition,[status(thm)],[c_24820,c_116]) ).
tcf(c_24828,plain,
midp(sK21,sK23,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_24824,c_13290]) ).
tcf(c_24829,plain,
cong(sK22,sK23,sK22,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_24612,c_24828]) ).
tcf(c_24854,plain,
para(sK21,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_24776,c_52]) ).
tcf(c_24919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X3,X0,X3,X1,X2,X0,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_68]) ).
tcf(c_24924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_24966,plain,
para(sK25,sK26,sK25,sK26),
inference(superposition,[status(thm)],[c_168,c_24634]) ).
tcf(c_25006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X3,X1,X3,X0,X2,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_24919,c_67]) ).
tcf(c_25051,plain,
! [X0: $i] :
( circle(sK23,sK21,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_117,c_24716]) ).
tcf(c_25101,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_88,c_91]) ).
tcf(c_25142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_24924,c_66]) ).
tcf(c_25371,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_25006,c_87]) ).
tcf(c_25669,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_24442,c_51]) ).
tcf(c_25731,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_24265,c_25669]) ).
tcf(c_25738,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK23,sK21,sK22)
| ~ midp(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_25051,c_102]) ).
tcf(c_25739,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25738,c_164]) ).
tcf(c_25762,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK22,X0,X1,X2,X0,X2,X1)
| ~ midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,X0)
| ~ circle(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_25739,c_97]) ).
tcf(c_25965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X1,X0,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_25142,c_87]) ).
tcf(c_25982,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_24694,c_25965]) ).
tcf(c_26890,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X2,X0,X2,X1,X0,sK22,X0,X1)
| ~ midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,X0)
| ~ circle(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_25762,c_68]) ).
tcf(c_26911,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ midp(sK23,sK21,sK20)
| ~ midp(sK20,sK21,sK22)
| ~ circle(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_26890]) ).
tcf(c_27249,plain,
! [X0: $i] :
( cong(sK21,X0,sK21,sK20)
| ~ midp(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_24820,c_24726]) ).
tcf(c_27742,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_25731,c_49]) ).
tcf(c_28110,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_24291,c_51]) ).
tcf(c_28281,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_25982,c_115]) ).
tcf(c_28911,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_24296,c_28110]) ).
tcf(c_28938,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_28911,c_49]) ).
tcf(c_29065,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,sK20,X1,X2)
| ~ midp(X0,sK20,X2)
| ~ midp(X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_30108,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_28281,c_50]) ).
tcf(c_30446,plain,
( midp(sK20,sK22,sK21)
| ~ midp(sK21,sK22,sK21)
| ~ coll(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_24617,c_116]) ).
tcf(c_30458,plain,
( midp(sK20,sK22,sK21)
| ~ midp(sK21,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30446,c_24255]) ).
tcf(c_31173,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_28938,c_51]) ).
tcf(c_31178,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_31173]) ).
tcf(c_31365,plain,
! [X0: $i] :
( perp(sK23,sK20,sK20,X0)
| ~ midp(sK21,sK23,X0)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_24822,c_102]) ).
tcf(c_31366,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ midp(sK21,sK23,sK20)
| ~ coll(sK21,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_31365]) ).
tcf(c_31436,plain,
! [X0: $i] :
( circle(X0,sK20,sK21,sK22)
| ~ cong(X0,sK20,X0,sK21)
| ~ cong(X0,sK20,X0,sK22) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_31437,plain,
( circle(sK20,sK20,sK21,sK22)
| ~ cong(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_31436]) ).
tcf(c_32791,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_24657,c_57]) ).
tcf(c_33075,plain,
( midp(sK22,sK23,sK20)
| ~ coll(sK22,sK23,sK20) ),
inference(superposition,[status(thm)],[c_24829,c_116]) ).
tcf(c_33087,plain,
midp(sK22,sK23,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_33075,c_27742]) ).
tcf(c_33145,plain,
midp(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_33087,c_59]) ).
tcf(c_33149,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK23,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_33145,c_93]) ).
tcf(c_33152,plain,
( para(sK22,sK20,sK23,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33149]) ).
tcf(c_33156,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_24854,c_94]) ).
tcf(c_33164,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_33156]) ).
tcf(c_33365,plain,
! [X0: $i,X1: $i] :
( circle(sK21,X0,sK20,X1)
| ~ midp(sK21,X0,sK23)
| ~ midp(sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_27249,c_24713]) ).
tcf(c_33367,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK21,X0,sK23)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_27249,c_116]) ).
tcf(c_33389,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK21,sK20,sK23)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33367]) ).
tcf(c_33390,plain,
( circle(sK21,sK20,sK20,sK20)
| ~ midp(sK21,sK20,sK23)
| ~ midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33365]) ).
tcf(c_35317,plain,
( para(sK22,sK21,sK20,sK22)
| ~ midp(sK23,sK21,sK20)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_25739,c_32791]) ).
tcf(c_35320,plain,
para(sK22,sK21,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_35317,c_163,c_175,c_179,c_184,c_233,c_6370,c_6713,c_6877,c_6920,c_6947,c_7273,c_7397,c_7404,c_7854,c_8394,c_10400,c_10462,c_17277,c_17592,c_18126,c_20439,c_20840,c_21285,c_21679,c_24828,c_31366,c_33152]) ).
tcf(c_35328,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_35320,c_94]) ).
tcf(c_35329,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK21,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_35320,c_58]) ).
tcf(c_35338,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| ~ coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_35328]) ).
tcf(c_35681,plain,
circle(sK21,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_24820,c_24823]) ).
tcf(c_35686,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ coll(sK21,sK23,sK20) ),
inference(superposition,[status(thm)],[c_35681,c_102]) ).
tcf(c_35687,plain,
perp(sK23,sK20,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_35686,c_13290]) ).
tcf(c_35698,plain,
para(sK21,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_35687,c_24633]) ).
tcf(c_36333,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_35698,c_94]) ).
tcf(c_36339,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36333]) ).
tcf(c_37011,plain,
perp(sK22,sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_168,c_35329]) ).
tcf(c_37021,plain,
para(sK20,sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_37011,c_24640]) ).
tcf(c_37078,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(sK25,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_37021,c_58]) ).
tcf(c_40326,plain,
! [X0: $i] :
( cyclic(sK26,X0,sK25,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_24966,c_25101]) ).
tcf(c_40666,plain,
! [X0: $i] :
( para(sK25,X0,sK25,X0)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_40326,c_25371]) ).
tcf(c_41761,plain,
! [X0: $i] :
( para(X0,sK25,sK25,X0)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_40666,c_25965]) ).
tcf(c_41774,plain,
( para(sK20,sK25,sK25,sK20)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_41761]) ).
tcf(c_41834,plain,
perp(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_24318,c_37078]) ).
tcf(c_42009,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_41834,c_104]) ).
tcf(c_42144,plain,
cong(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_42009,c_163,c_175,c_179,c_233,c_2175,c_6370,c_6515,c_6713,c_6877,c_6911,c_6920,c_6947,c_7273,c_7290,c_7397,c_7404,c_8379,c_8394,c_8399,c_9768,c_9780,c_10400,c_10403,c_10462,c_12987,c_14521,c_15179,c_17017,c_17166,c_18126,c_19019,c_20813,c_23122,c_33389,c_35338,c_36339,c_42009]) ).
tcf(c_42161,plain,
cong(sK20,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_42144,c_72]) ).
tcf(c_42422,plain,
( midp(sK20,sK22,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_42161,c_116]) ).
tcf(c_42434,plain,
midp(sK20,sK22,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_42422,c_30108]) ).
tcf(c_44196,plain,
( perp(sK20,sK25,sK25,sK27)
| ~ coll(sK24,sK20,sK27) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
tcf(c_44230,plain,
( perp(sK25,sK27,sK20,sK25)
| ~ coll(sK24,sK20,sK27) ),
inference(superposition,[status(thm)],[c_44196,c_56]) ).
tcf(c_44271,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK25,X0,X1)
| ~ coll(sK24,sK20,sK27)
| ~ perp(sK25,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_44196,c_57]) ).
tcf(c_44424,plain,
( perp(sK25,sK27,sK25,sK20)
| ~ coll(sK24,sK20,sK27) ),
inference(superposition,[status(thm)],[c_44230,c_55]) ).
tcf(c_47236,plain,
( para(sK20,sK25,sK25,sK20)
| ~ coll(sK24,sK20,sK27) ),
inference(superposition,[status(thm)],[c_44424,c_44271]) ).
tcf(c_48004,plain,
para(sK20,sK25,sK25,sK20),
inference(global_subsumption_just,[status(thm)],[c_47236,c_7162,c_41774]) ).
tcf(c_48011,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_48004,c_52]) ).
tcf(c_50596,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_48011,c_113]) ).
tcf(c_50603,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50596,c_48011]) ).
tcf(c_50604,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_50603]) ).
tcf(c_52708,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,sK24,X1)
| ~ midp(sK20,X0,X2)
| ~ para(X0,sK24,X2,X1)
| ~ para(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_52709,plain,
( midp(sK20,sK24,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK24)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_52708]) ).
tcf(c_53523,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X0,X1)
| ~ coll(sK26,X0,X1)
| ~ cong(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_53524,plain,
( midp(sK26,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_53523]) ).
tcf(c_59042,plain,
! [X0: $i] :
( para(sK24,sK20,sK20,sK23)
| ~ midp(X0,sK20,sK23)
| ~ midp(X0,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_29065]) ).
tcf(c_59043,plain,
( para(sK24,sK20,sK20,sK23)
| ~ midp(sK20,sK20,sK23)
| ~ midp(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_59042]) ).
tcf(c_61429,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ para(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_61430,plain,
( para(sK20,sK24,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_61429]) ).
tcf(c_65634,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,sK26,X1,X2)
| ~ midp(sK26,X0,X2)
| ~ midp(sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_65635,plain,
( para(sK20,sK26,sK20,sK20)
| ~ midp(sK26,sK20,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_65634]) ).
tcf(c_66037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK22,sK20)
| ~ eqangle(sK20,sK23,sK24,sK20,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK20,sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_66057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK20,sK20,sK23,X0,X1,X2,X3)
| ~ eqangle(sK24,sK20,X0,X1,sK20,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_66058,plain,
( eqangle(sK24,sK20,sK20,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK24,sK20,sK20,sK20,sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_66057]) ).
tcf(c_66059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK24,sK20,sK20,sK23,X4,X5,X6,X7)
| ~ eqangle(sK24,sK20,sK20,sK23,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_66317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK23,sK24,sK20,X2,X3,X0,X1)
| ~ eqangle(sK24,sK20,sK20,sK23,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_66391,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK20,X0,X1,sK20,sK23,X0,X1)
| ~ para(sK24,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_66392,plain,
( eqangle(sK24,sK20,sK20,sK20,sK20,sK23,sK20,sK20)
| ~ para(sK24,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_66391]) ).
tcf(c_67010,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,X0,sK26)
| ~ para(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_67011,plain,
( para(sK20,sK20,sK20,sK26)
| ~ para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_67010]) ).
tcf(c_68010,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK22,sK20)
| ~ eqangle(sK20,sK23,sK24,sK20,X0,X1,sK22,sK20)
| ~ eqangle(X0,X1,sK22,sK20,sK20,sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_66037]) ).
tcf(c_68011,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK22,sK20,sK20,sK26,sK22,sK20)
| ~ para(X0,X1,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_68012,plain,
( eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK22,sK20)
| ~ eqangle(sK20,sK23,sK24,sK20,sK20,sK20,sK22,sK20)
| ~ eqangle(sK20,sK20,sK22,sK20,sK20,sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_68010]) ).
tcf(c_68013,plain,
( eqangle(sK20,sK20,sK22,sK20,sK20,sK26,sK22,sK20)
| ~ para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_68011]) ).
tcf(c_68102,plain,
! [X0: $i] :
( cong(sK26,X0,sK26,X0)
| ~ midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_6635]) ).
tcf(c_68103,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_68102]) ).
tcf(c_72131,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK23,sK24,sK20,X0,X1,sK22,sK20)
| ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_66317]) ).
tcf(c_72132,plain,
( eqangle(sK20,sK23,sK24,sK20,sK20,sK20,sK22,sK20)
| ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_72131]) ).
tcf(c_72148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK24,sK20,sK20,sK23,sK22,sK20,X4,X5)
| ~ eqangle(sK24,sK20,sK20,sK23,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK22,sK20,X4,X5) ),
inference(instantiation,[status(thm)],[c_66059]) ).
tcf(c_72149,plain,
( eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK20,sK20)
| ~ eqangle(sK24,sK20,sK20,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_72148]) ).
tcf(c_72150,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72149,c_72132,c_68103,c_68013,c_68012,c_67011,c_66392,c_66058,c_65635,c_61430,c_59043,c_53524,c_52709,c_50604,c_42434,c_42009,c_36339,c_35338,c_33390,c_33389,c_33164,c_31437,c_31178,c_30458,c_26911,c_24585,c_24104,c_23869,c_23122,c_22466,c_20813,c_20603,c_19083,c_19019,c_18980,c_18876,c_18576,c_18126,c_17166,c_17017,c_16241,c_15519,c_15179,c_15174,c_14521,c_14366,c_12987,c_12502,c_11201,c_10462,c_10433,c_10403,c_10400,c_9957,c_9780,c_9768,c_9038,c_8919,c_8399,c_8394,c_8379,c_8122,c_7660,c_7404,c_7397,c_7290,c_7281,c_7273,c_6947,c_6920,c_6911,c_6877,c_6713,c_6674,c_6514,c_6515,c_6416,c_6371,c_6370,c_6363,c_2175,c_233,c_179,c_175,c_162,c_163,c_165,c_168,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO576+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 12:28:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 67.93/10.85 % SZS status Started for theBenchmark.p
% 67.93/10.85 % SZS status Theorem for theBenchmark.p
% 67.93/10.85
% 67.93/10.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 67.93/10.85
% 67.93/10.85 % ------ iProver source info
% 67.93/10.85
% 67.93/10.85 % git: date: 2026-07-19 20:42:38 +0200
% 67.93/10.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 67.93/10.85 % git: non_committed_changes: false
% 67.93/10.85
% 67.93/10.85 % ------ Parsing...
% 67.93/10.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 67.93/10.85
% 67.93/10.85 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 67.93/10.85
% 67.93/10.85 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 67.93/10.85
% 67.93/10.85 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 67.93/10.85 % ------ Proving...
% 67.93/10.85 % ------ Problem Properties
% 67.93/10.85
% 67.93/10.85 %
% 67.93/10.85 % clauses 120
% 67.93/10.85 % conjectures 8
% 67.93/10.85 % EPR 83
% 67.93/10.85 % Horn 110
% 67.93/10.85 % unary 8
% 67.93/10.85 % binary 37
% 67.93/10.85 % lits 336
% 67.93/10.85 % lits eq 4
% 67.93/10.85 % fd_pure 0
% 67.93/10.85 % fd_pseudo 0
% 67.93/10.85 % fd_cond 0
% 67.93/10.85 % fd_pseudo_cond 4
% 67.93/10.85 % AC symbols 0
% 67.93/10.85
% 67.93/10.85 % ------ Input Options Time Limit: Unbounded
% 67.93/10.85
% 67.93/10.85
% 67.93/10.85 % ------
% 67.93/10.85 % Current options:
% 67.93/10.85 % ------
% 67.93/10.85
% 67.93/10.85
% 67.93/10.85 %
% 67.93/10.85
% 67.93/10.85 % ------ Proving...
% 67.93/10.85 %
% 67.93/10.85
% 67.93/10.85 % SZS status Theorem for theBenchmark.p
% 67.93/10.85
% 67.93/10.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.93/10.87
% 67.93/10.87
%------------------------------------------------------------------------------