%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO612+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 : n006.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 01:21:38 PM UTC 2026
% Result : Theorem 53.49s 9.36s
% Output : CNFRefutation 53.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of formulae : 680 ( 148 unt; 0 def)
% Number of atoms : 1588 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1709 ( 801 ~; 795 |; 73 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 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 : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 1148 ( 0 sgn1125 !; 23 ?; 460 :)
% 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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(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(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(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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(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(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X6,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X6,X7,X1) ),
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(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
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(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(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(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(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(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(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ cyclic(X0,X6,X7,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ cyclic(X0,X6,X7,X1) ),
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(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( coll(sK27,sK21,sK22)
& perp(sK27,sK25,sK21,sK22)
& coll(sK26,sK20,sK22)
& perp(sK26,sK25,sK20,sK22)
& coll(sK25,sK22,sK24)
& circle(sK23,sK22,sK25,sK28)
& coll(sK24,sK20,sK21)
& perp(sK24,sK22,sK20,sK21)
& circle(sK23,sK20,sK21,sK22)
& ~ cyclic(sK20,sK26,sK27,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[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(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
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(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(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(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(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(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(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
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(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK27,sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK26,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
circle(sK23,sK22,sK25,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK24,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ cyclic(sK20,sK26,sK27,sK21),
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_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
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_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_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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
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_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_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_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
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_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ cyclic(sK20,sK26,sK27,sK21),
inference(cnf_transformation,[],[f393]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f392]) ).
tcf(c_164,negated_conjecture,
perp(sK24,sK22,sK20,sK21),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_166,negated_conjecture,
circle(sK23,sK22,sK25,sK28),
inference(cnf_transformation,[],[f389]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f388]) ).
tcf(c_168,negated_conjecture,
perp(sK26,sK25,sK20,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_169,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
perp(sK27,sK25,sK21,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_171,negated_conjecture,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_181,plain,
( eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_186,plain,
( perp(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_235,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2180,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 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_163]) ).
tcf(c_2181,plain,
perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2180]) ).
tcf(c_2185,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 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_163]) ).
tcf(c_2186,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(unflattening,[status(thm)],[c_2185]) ).
tcf(c_2262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK28 )
| ( X2 != sK25 )
| ( X1 != sK22 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_166]) ).
tcf(c_2263,plain,
perp(sK11(sK22,sK25,sK28,sK23),sK22,sK22,sK23),
inference(unflattening,[status(thm)],[c_2262]) ).
tcf(c_6369,plain,
( coll(sK25,sK24,sK22)
| ~ coll(sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6374,plain,
( coll(sK20,sK26,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6386,plain,
! [X0: $i] :
( coll(X0,sK22,sK26)
| ~ coll(sK26,sK20,sK22)
| ~ coll(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6387,plain,
( coll(sK22,sK22,sK26)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6386]) ).
tcf(c_6388,plain,
! [X0: $i] :
( coll(X0,sK22,sK27)
| ~ coll(sK27,sK21,sK22)
| ~ coll(sK27,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6389,plain,
( coll(sK22,sK22,sK27)
| ~ coll(sK27,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6388]) ).
tcf(c_6440,plain,
! [X0: $i] :
( coll(X0,sK22,sK25)
| ~ coll(sK25,sK24,sK22)
| ~ coll(sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6441,plain,
( coll(sK22,sK22,sK25)
| ~ coll(sK25,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_6440]) ).
tcf(c_6469,plain,
( coll(sK20,sK22,sK26)
| ~ coll(sK20,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6470,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK26,sK22)
| ~ coll(sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6471,plain,
( coll(sK22,sK22,sK20)
| ~ coll(sK20,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_6470]) ).
tcf(c_6474,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_6476,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_6477,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_6486,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_6487,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_6488,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_6489,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_6500,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6474,c_50]) ).
tcf(c_6504,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_6476,c_50]) ).
tcf(c_6516,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_6477,c_50]) ).
tcf(c_6642,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1)
| ~ coll(sK23,X0,X1)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_6645,plain,
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK22,sK22),sK11(sK20,sK21,sK22,sK23),sK22,sK22)
| ~ coll(sK23,sK22,sK22)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6642]) ).
tcf(c_6663,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_6669,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_6671,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_6673,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_6474,c_51]) ).
tcf(c_6675,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_6476,c_51]) ).
tcf(c_6677,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6486,c_51]) ).
tcf(c_6678,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6487,c_51]) ).
tcf(c_6679,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6488,c_51]) ).
tcf(c_6680,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_6489,c_51]) ).
tcf(c_6682,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6500,c_51]) ).
tcf(c_6684,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_6504,c_51]) ).
tcf(c_6686,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_6516,c_51]) ).
tcf(c_6696,plain,
( coll(sK21,sK22,sK22)
| ~ coll(sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_6686]) ).
tcf(c_6698,plain,
( coll(sK20,sK22,sK22)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_6684]) ).
tcf(c_6703,plain,
( coll(sK21,sK22,sK20)
| ~ coll(sK20,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_6677]) ).
tcf(c_6707,plain,
( perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22)
| ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6723,plain,
! [X0: $i] :
( coll(X0,sK26,sK22)
| ~ coll(X0,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6724,plain,
( coll(sK22,sK26,sK22)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_6723]) ).
tcf(c_6731,plain,
! [X0: $i] :
( coll(X0,sK27,sK22)
| ~ coll(X0,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6732,plain,
( coll(sK22,sK27,sK22)
| ~ coll(sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_6731]) ).
tcf(c_6777,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_165,c_6669]) ).
tcf(c_6778,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6777,c_51]) ).
tcf(c_6781,plain,
( coll(sK24,sK22,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6778]) ).
tcf(c_6803,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_169,c_6671]) ).
tcf(c_6806,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6803,c_49]) ).
tcf(c_6885,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_6806,c_51]) ).
tcf(c_6888,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_6885]) ).
tcf(c_6906,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6474,c_6673]) ).
tcf(c_6907,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6906,c_51]) ).
tcf(c_6909,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6906,c_49]) ).
tcf(c_6910,plain,
( coll(sK24,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_6931,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_6476,c_6675]) ).
tcf(c_6934,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6931,c_49]) ).
tcf(c_6996,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6486,c_6677]) ).
tcf(c_6997,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6996,c_51]) ).
tcf(c_7000,plain,
( coll(sK20,sK22,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6997]) ).
tcf(c_7003,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6487,c_6678]) ).
tcf(c_7029,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6488,c_6679]) ).
tcf(c_7030,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7029,c_51]) ).
tcf(c_7032,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7029,c_49]) ).
tcf(c_7036,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_6489,c_6680]) ).
tcf(c_7048,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7036,c_51]) ).
tcf(c_7054,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_7067,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_6909,c_50]) ).
tcf(c_7087,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_7088,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_7089,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_7090,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_7105,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_7087,c_50]) ).
tcf(c_7109,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_7089,c_50]) ).
tcf(c_7111,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_7090,c_50]) ).
tcf(c_7159,plain,
perp(sK24,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_7164,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_7165,plain,
perp(sK20,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_7166,plain,
perp(sK21,sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_170,c_56]) ).
tcf(c_7175,plain,
perp(sK21,sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_7159,c_56]) ).
tcf(c_7182,plain,
perp(sK20,sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_7164,c_55]) ).
tcf(c_7209,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7105,c_6682]) ).
tcf(c_7234,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_7236,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_7237,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_171,c_51]) ).
tcf(c_7240,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_7088,c_51]) ).
tcf(c_7260,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6934,c_51]) ).
tcf(c_7263,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_7067,c_51]) ).
tcf(c_7266,plain,
( coll(sK20,sK22,sK24)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7263]) ).
tcf(c_7269,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_7260]) ).
tcf(c_7290,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7109,c_6684]) ).
tcf(c_7306,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_7111,c_6686]) ).
tcf(c_7309,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_165,c_7234]) ).
tcf(c_7314,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_7309,c_6778]) ).
tcf(c_7339,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_169,c_7236]) ).
tcf(c_7367,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_171,c_7237]) ).
tcf(c_7451,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_7314,c_51]) ).
tcf(c_7455,plain,
( coll(sK21,sK22,sK24)
| ~ coll(sK24,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_7451]) ).
tcf(c_7477,plain,
( perp(sK23,sK22,sK11(sK22,sK25,sK28,sK23),sK22)
| ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7479,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK22)
| ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22)
| ~ perp(X0,X1,sK11(sK22,sK25,sK28,sK23),sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7597,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_7088,c_7240]) ).
tcf(c_7745,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_7794,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_7795,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
tcf(c_7796,plain,
( cong(sK27,sK21,sK27,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_170,c_104]) ).
tcf(c_7803,plain,
( cong(sK21,sK24,sK21,sK22)
| ~ midp(sK20,sK24,sK22) ),
inference(superposition,[status(thm)],[c_7175,c_104]) ).
tcf(c_7806,plain,
( cong(sK20,sK22,sK20,sK24)
| ~ midp(sK21,sK22,sK24) ),
inference(superposition,[status(thm)],[c_7182,c_104]) ).
tcf(c_7825,plain,
perp(sK20,sK21,sK24,sK22),
inference(resolution,[status(thm)],[c_56,c_164]) ).
tcf(c_7826,plain,
perp(sK20,sK22,sK26,sK25),
inference(resolution,[status(thm)],[c_56,c_168]) ).
tcf(c_7904,plain,
( cong(sK20,sK21,sK20,sK22)
| ~ midp(sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7745,c_104]) ).
tcf(c_7907,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7745,c_101]) ).
tcf(c_7945,plain,
! [X0: $i] :
( coll(sK24,sK20,X0)
| ~ coll(sK24,X0,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7946,plain,
( coll(sK24,sK20,sK22)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7945]) ).
tcf(c_7947,plain,
! [X0: $i] :
( coll(sK24,sK21,X0)
| ~ coll(sK24,X0,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7949,plain,
! [X0: $i] :
( coll(sK20,sK24,X0)
| ~ coll(sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7950,plain,
( coll(sK20,sK24,sK22)
| ~ coll(sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_7949]) ).
tcf(c_7953,plain,
( midp(sK24,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7794,c_116]) ).
tcf(c_7955,plain,
( cong(sK24,sK20,sK21,sK24)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7794,c_71]) ).
tcf(c_7956,plain,
( midp(sK24,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7953,c_165]) ).
tcf(c_7974,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7795,c_72]) ).
tcf(c_7997,plain,
( cong(sK27,sK22,sK27,sK21)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7796,c_72]) ).
tcf(c_8053,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_8057,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK22,X0,X1)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7159,c_57]) ).
tcf(c_8060,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7164,c_57]) ).
tcf(c_8061,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_7165,c_57]) ).
tcf(c_8062,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_7166,c_57]) ).
tcf(c_8254,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK24,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_7794,c_60]) ).
tcf(c_8255,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_7795,c_60]) ).
tcf(c_8256,plain,
! [X0: $i] :
( circle(sK27,sK21,X0,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ cong(sK27,sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_7796,c_60]) ).
tcf(c_8317,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK24,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7794,c_73]) ).
tcf(c_8318,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK25,sK20,sK22)
| ~ cong(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7795,c_73]) ).
tcf(c_8319,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK21,X0,X1)
| ~ midp(sK25,sK21,sK22)
| ~ cong(sK27,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7796,c_73]) ).
tcf(c_8332,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_7367,c_7030]) ).
tcf(c_8333,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_7597,c_7030]) ).
tcf(c_8336,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_7339,c_7048]) ).
tcf(c_8338,plain,
coll(sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_7597,c_7048]) ).
tcf(c_8406,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_8332,c_49]) ).
tcf(c_8518,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_8336,c_49]) ).
tcf(c_8566,plain,
! [X0: $i] :
( coll(sK23,sK20,sK22)
| ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8567,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK22,sK22,sK23)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8566]) ).
tcf(c_8749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
tcf(c_8820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X0,X4,X2,X3)
| ~ midp(X0,X1,X4)
| ~ cong(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_6663,c_73]) ).
tcf(c_9276,plain,
perp(sK24,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_9277,plain,
perp(sK26,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_9634,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_9754,plain,
( cong(sK24,sK21,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9634,c_72]) ).
tcf(c_10226,plain,
! [X0: $i,X1: $i] :
( coll(sK22,X1,sK23)
| ~ coll(sK23,X0,sK22)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_10227,plain,
( coll(sK22,sK22,sK23)
| ~ coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10226]) ).
tcf(c_10534,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_8333,c_49]) ).
tcf(c_10563,plain,
coll(sK21,sK22,sK25),
inference(superposition,[status(thm)],[c_8338,c_49]) ).
tcf(c_10767,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_8060]) ).
tcf(c_10768,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_9276,c_8060]) ).
tcf(c_10813,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_9277,c_8061]) ).
tcf(c_10994,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_10998,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10994]) ).
tcf(c_11007,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_10768,c_94]) ).
tcf(c_11008,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_10813,c_94]) ).
tcf(c_11022,plain,
( midp(sK22,sK22,sK20)
| ~ midp(sK20,sK22,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_11008]) ).
tcf(c_11023,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK20,sK22,sK21)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_11007]) ).
tcf(c_11790,plain,
( circle(sK24,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9634,c_8254]) ).
tcf(c_11809,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_11790,c_102]) ).
tcf(c_11810,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11809,c_165]) ).
tcf(c_11817,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_11810,c_101]) ).
tcf(c_11819,plain,
( cong(sK20,sK22,sK21,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11817]) ).
tcf(c_12207,plain,
! [X0: $i] :
( cong(sK21,X0,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_11817,c_72]) ).
tcf(c_12209,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X1,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X1,sK20,sK21)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_11817,c_105]) ).
tcf(c_12211,plain,
( cong(sK21,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12207]) ).
tcf(c_12212,plain,
( perp(sK20,sK21,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK20,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_12209]) ).
tcf(c_12521,plain,
( para(sK23,sK22,sK23,sK22)
| ~ perp(sK23,sK22,sK11(sK22,sK25,sK28,sK23),sK22)
| ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_7479]) ).
tcf(c_12700,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK24,sK22) ),
inference(resolution,[status(thm)],[c_58,c_164]) ).
tcf(c_12712,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK22)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_7825]) ).
tcf(c_12714,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK25)
| ~ para(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_58,c_7826]) ).
tcf(c_12961,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_10767,c_113]) ).
tcf(c_12987,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12961,c_10767]) ).
tcf(c_12988,plain,
( midp(sK22,sK21,sK21)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12987]) ).
tcf(c_13202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(X2,X3,sK24,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_12700,c_57]) ).
tcf(c_13374,plain,
( cong(sK24,sK20,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9754,c_8317]) ).
tcf(c_13682,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK22,X0,X1)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_12712,c_56]) ).
tcf(c_13737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK26,sK25)
| ~ para(X2,X3,sK20,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_12714,c_57]) ).
tcf(c_13739,plain,
( para(sK22,sK22,sK26,sK25)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_13737]) ).
tcf(c_14273,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_14347,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_14423,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7955,c_73]) ).
tcf(c_14424,plain,
( cong(sK21,sK24,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7955,c_72]) ).
tcf(c_14467,plain,
( cong(sK24,sK20,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14424,c_14423]) ).
tcf(c_14538,plain,
( midp(sK24,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14467,c_116]) ).
tcf(c_14543,plain,
( midp(sK24,sK20,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14538,c_7067]) ).
tcf(c_14809,plain,
( cong(sK20,sK22,sK20,sK21)
| ~ midp(sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7904,c_72]) ).
tcf(c_14816,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7907,c_71]) ).
tcf(c_14950,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_8254]) ).
tcf(c_14951,plain,
( circle(sK24,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14273,c_8254]) ).
tcf(c_14952,plain,
( circle(sK24,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14467,c_8254]) ).
tcf(c_14955,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14951,c_102]) ).
tcf(c_14956,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14955,c_165]) ).
tcf(c_14994,plain,
( perp(sK21,sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14956,c_56]) ).
tcf(c_14996,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14956,c_101]) ).
tcf(c_15003,plain,
( perp(sK21,sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14994,c_55]) ).
tcf(c_15026,plain,
! [X0: $i] :
( cong(sK21,X0,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14996,c_72]) ).
tcf(c_15074,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK21,sK21,X0,X1,sK21,X1,X0)
| ~ midp(sK22,sK20,sK21)
| ~ circle(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_14956,c_97]) ).
tcf(c_15096,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_15003,c_57]) ).
tcf(c_15104,plain,
( para(sK21,sK21,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK21,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_15096]) ).
tcf(c_16977,plain,
( para(sK26,sK25,sK20,sK21)
| ~ para(sK20,sK22,sK24,sK22) ),
inference(resolution,[status(thm)],[c_13202,c_168]) ).
tcf(c_18133,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK21,sK21,X1)
| ~ midp(sK22,sK20,sK21)
| ~ circle(sK20,sK21,X1,X0)
| ~ perp(X0,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_15074,c_123]) ).
tcf(c_18152,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ circle(sK20,sK21,sK22,sK22)
| ~ perp(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_18133]) ).
tcf(c_18355,plain,
( para(sK26,sK25,sK21,sK20)
| ~ para(sK20,sK22,sK24,sK22) ),
inference(resolution,[status(thm)],[c_16977,c_52]) ).
tcf(c_21122,plain,
( midp(sK20,sK22,sK21)
| ~ midp(sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14809,c_116]) ).
tcf(c_21246,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14816,c_116]) ).
tcf(c_21254,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21246,c_7209]) ).
tcf(c_21886,plain,
( coll(sK23,sK22,sK22)
| ~ para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_22200,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_22202,plain,
( perp(sK22,sK22,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK22,sK22),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK22,sK22),sK11(sK20,sK21,sK22,sK23),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_22200]) ).
tcf(c_22203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_22204,plain,
( para(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK22,sK22),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK22,sK22),sK11(sK20,sK21,sK22,sK23),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_22203]) ).
tcf(c_22489,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_14950,c_102]) ).
tcf(c_22490,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22489,c_165]) ).
tcf(c_22624,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK20,X1,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X1,sK20,sK21)
| ~ cong(sK21,X0,sK20,X0) ),
inference(superposition,[status(thm)],[c_15026,c_105]) ).
tcf(c_22627,plain,
( perp(sK21,sK20,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK21,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_22624]) ).
tcf(c_22649,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,X0,X1,X2)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK20,X0)
| ~ perp(X0,sK21,X1,X2) ),
inference(superposition,[status(thm)],[c_22490,c_57]) ).
tcf(c_22657,plain,
! [X0: $i,X1: $i] :
( cong(sK20,X0,X1,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK20,X1)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_22490,c_101]) ).
tcf(c_22659,plain,
( para(sK26,sK25,sK22,sK21)
| ~ midp(sK24,sK20,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_22490,c_14347]) ).
tcf(c_24069,plain,
! [X0: $i] :
( midp(sK20,X0,X0)
| ~ midp(sK24,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21)
| ~ coll(sK20,X0,X0) ),
inference(superposition,[status(thm)],[c_22657,c_116]) ).
tcf(c_24081,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK24,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_24069]) ).
tcf(c_24542,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_25612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,sK22,X2,X3)
| ~ para(sK20,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_25613,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ para(sK20,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_25612]) ).
tcf(c_25620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,sK21,X2,X3)
| ~ para(sK22,sK21,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_25621,plain,
( perp(sK22,sK21,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_25620]) ).
tcf(c_25679,plain,
( para(sK20,sK20,sK21,sK21)
| ~ midp(sK24,sK20,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14956,c_22649]) ).
tcf(c_25733,plain,
( para(sK20,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_25679,c_14543,c_25679]) ).
tcf(c_25740,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_25733,c_54]) ).
tcf(c_25743,plain,
( para(sK20,sK20,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ para(sK21,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_25740]) ).
tcf(c_26241,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_7306,c_49]) ).
tcf(c_26297,plain,
perp(sK26,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_26298,plain,
perp(sK27,sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_170,c_55]) ).
tcf(c_26301,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_26302,plain,
perp(sK20,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_26319,plain,
perp(sK20,sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_26301,c_55]) ).
tcf(c_26552,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_26558,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_26559,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
tcf(c_26560,plain,
( cong(sK27,sK21,sK27,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_170,c_104]) ).
tcf(c_26593,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_26552,c_169,c_2186,c_2263,c_6374,c_6471,c_6707,c_7477,c_8567,c_10227,c_12521,c_21886]) ).
tcf(c_26595,plain,
( cong(sK20,sK21,sK20,sK22)
| ~ midp(sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_26593,c_104]) ).
tcf(c_26597,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_26593,c_55]) ).
tcf(c_26598,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_26593,c_101]) ).
tcf(c_26609,plain,
( cong(sK24,sK21,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26558,c_72]) ).
tcf(c_26625,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_26597,c_56]) ).
tcf(c_26634,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_26635,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_26681,plain,
para(sK24,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_26593,c_26634]) ).
tcf(c_26927,plain,
! [X0: $i] :
( circle(sK20,sK21,X0,sK22)
| ~ midp(sK21,sK21,sK22)
| ~ cong(sK20,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_26595,c_60]) ).
tcf(c_26933,plain,
( circle(sK20,sK21,sK22,sK22)
| ~ midp(sK21,sK21,sK22)
| ~ cong(sK20,sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_26927]) ).
tcf(c_26938,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_26598,c_71]) ).
tcf(c_27057,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_8060]) ).
tcf(c_27074,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_26297,c_8061]) ).
tcf(c_27086,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_27057,c_94]) ).
tcf(c_27089,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK24,X0,sK21)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_26681,c_94]) ).
tcf(c_27146,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_27074,c_53]) ).
tcf(c_27151,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_26298,c_8062]) ).
tcf(c_27162,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_27151,c_53]) ).
tcf(c_27368,plain,
( circle(sK24,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26558,c_8254]) ).
tcf(c_27371,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_27368,c_102]) ).
tcf(c_27372,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27371,c_165]) ).
tcf(c_27377,plain,
( perp(sK21,sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_27372,c_56]) ).
tcf(c_27383,plain,
( para(sK24,sK22,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_27372,c_26634]) ).
tcf(c_27386,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_27377,c_57]) ).
tcf(c_27455,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1)
| ~ para(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_95,c_122]) ).
tcf(c_27477,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK22,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_27383,c_58]) ).
tcf(c_27504,plain,
( circle(sK26,sK20,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_26559,c_8255]) ).
tcf(c_27507,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_27504,c_102]) ).
tcf(c_27508,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27507,c_169]) ).
tcf(c_27514,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1)
| ~ perp(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_95,c_123]) ).
tcf(c_27565,plain,
( para(sK26,sK25,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_27508,c_26635]) ).
tcf(c_27578,plain,
( para(sK22,sK22,sK26,sK25)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_27565,c_53]) ).
tcf(c_27604,plain,
( circle(sK27,sK21,sK22,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_26560,c_8256]) ).
tcf(c_27607,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ coll(sK27,sK21,sK22) ),
inference(superposition,[status(thm)],[c_27604,c_102]) ).
tcf(c_27608,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27607,c_171]) ).
tcf(c_27741,plain,
! [X0: $i] :
( cong(sK24,sK20,sK24,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_117,c_8317]) ).
tcf(c_27743,plain,
( cong(sK24,sK20,sK24,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26609,c_8317]) ).
tcf(c_27751,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7974,c_8318]) ).
tcf(c_27863,plain,
! [X0: $i] :
( midp(sK24,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK24,sK21,X0)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_27741,c_116]) ).
tcf(c_27875,plain,
( midp(sK24,sK20,sK22)
| ~ midp(sK24,sK21,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_27863]) ).
tcf(c_27891,plain,
( cong(sK27,sK21,sK27,sK21)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7997,c_8319]) ).
tcf(c_28354,plain,
( para(sK21,sK21,sK21,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26593,c_27386]) ).
tcf(c_28356,plain,
( para(sK21,sK21,sK22,sK24)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26319,c_27386]) ).
tcf(c_28362,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_28354,c_94]) ).
tcf(c_28370,plain,
( midp(sK21,sK22,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK21,sK22,sK21)
| ~ coll(sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_28362]) ).
tcf(c_28523,plain,
! [X0: $i] :
( midp(sK21,X0,sK24)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_28356,c_94]) ).
tcf(c_28530,plain,
( midp(sK21,sK22,sK24)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK21,sK22,sK22)
| ~ coll(sK21,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_28523]) ).
tcf(c_29332,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7032,c_27089]) ).
tcf(c_29701,plain,
( midp(sK21,sK22,sK21)
| ~ midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_26241,c_27086]) ).
tcf(c_31393,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_26625,c_57]) ).
tcf(c_31398,plain,
( para(sK22,sK21,sK22,sK22)
| ~ perp(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_31393]) ).
tcf(c_31956,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_27146,c_94]) ).
tcf(c_31960,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_27146,c_52]) ).
tcf(c_31975,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_27162,c_94]) ).
tcf(c_32250,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_31960,c_113]) ).
tcf(c_32251,plain,
! [X0: $i] :
( midp(sK20,X0,sK20)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_31960,c_94]) ).
tcf(c_32259,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32250,c_31960]) ).
tcf(c_32260,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_32259]) ).
tcf(c_32262,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_32251]) ).
tcf(c_33238,plain,
! [X0: $i,X1: $i] :
( cong(sK20,X0,sK20,X1)
| ~ midp(sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_33300,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7290,c_31956]) ).
tcf(c_33328,plain,
( midp(sK21,sK21,sK22)
| ~ midp(sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7306,c_31975]) ).
tcf(c_33517,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X2,sK20,sK22)
| ~ midp(X2,X1,sK22)
| ~ midp(X0,X1,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_33518,plain,
( para(sK22,sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_33517]) ).
tcf(c_33533,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,sK22,X1,X2)
| ~ midp(sK22,X0,X2)
| ~ midp(sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_33534,plain,
( para(sK20,sK22,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_33533]) ).
tcf(c_34884,plain,
( perp(sK21,sK24,sK24,sK22)
| ~ midp(sK20,sK24,sK22)
| ~ perp(sK24,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7803,c_27514]) ).
tcf(c_35208,plain,
( cong(sK20,sK24,sK20,sK22)
| ~ midp(sK21,sK22,sK24) ),
inference(superposition,[status(thm)],[c_7806,c_72]) ).
tcf(c_38362,plain,
( para(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26938,c_27455]) ).
tcf(c_38369,plain,
( para(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38362,c_27057]) ).
tcf(c_38495,plain,
! [X0: $i] :
( cong(X0,sK25,X0,sK25)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_38497,plain,
( cong(sK22,sK25,sK22,sK25)
| ~ midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_38495]) ).
tcf(c_38550,plain,
para(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_38369,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12521,c_21886,c_22202,c_22204,c_32260,c_33300,c_38369]) ).
tcf(c_38552,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_38550,c_113]) ).
tcf(c_38556,plain,
para(sK20,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_38550,c_53]) ).
tcf(c_38560,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38552,c_38556]) ).
tcf(c_38561,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38560]) ).
tcf(c_38603,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_38556,c_94]) ).
tcf(c_40092,plain,
para(sK22,sK22,sK26,sK25),
inference(global_subsumption_just,[status(thm)],[c_27578,c_169,c_177,c_181,c_186,c_235,c_2181,c_2263,c_6374,c_6387,c_6471,c_6645,c_6698,c_6707,c_6724,c_6888,c_7477,c_10998,c_11022,c_12521,c_13739,c_14543,c_21886,c_22202,c_22204,c_24081,c_32260,c_33518,c_38561]) ).
tcf(c_40097,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK22,X0,X1)
| ~ para(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_40092,c_54]) ).
tcf(c_40614,plain,
cong(sK24,sK20,sK24,sK20),
inference(global_subsumption_just,[status(thm)],[c_27743,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12521,c_13374,c_21886,c_22202,c_22204,c_32260,c_38561]) ).
tcf(c_40618,plain,
( midp(sK24,sK20,sK20)
| ~ coll(sK24,sK20,sK20) ),
inference(superposition,[status(thm)],[c_40614,c_116]) ).
tcf(c_40632,plain,
( circle(sK24,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_40614,c_8254]) ).
tcf(c_40641,plain,
midp(sK24,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_40618,c_7067]) ).
tcf(c_40672,plain,
( circle(sK26,sK20,sK20,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_27751,c_8255]) ).
tcf(c_40980,plain,
( circle(sK27,sK21,sK21,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_27891,c_8256]) ).
tcf(c_41398,plain,
circle(sK24,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_40632,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12521,c_14952,c_21886,c_22202,c_22204,c_32260,c_38561]) ).
tcf(c_41401,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41398,c_102]) ).
tcf(c_41402,plain,
perp(sK20,sK20,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_41401,c_165]) ).
tcf(c_41404,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41402,c_104]) ).
tcf(c_41813,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK20,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_40641,c_93]) ).
tcf(c_41825,plain,
( para(sK24,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_41813]) ).
tcf(c_41974,plain,
! [X0: $i] :
( cyclic(sK20,sK26,sK27,sK21)
| ~ cong(X0,sK20,X0,sK21)
| ~ cong(X0,sK20,X0,sK27)
| ~ cong(X0,sK20,X0,sK26) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_42006,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_40672,c_102]) ).
tcf(c_42007,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42006,c_169]) ).
tcf(c_42022,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ coll(sK27,sK21,sK22) ),
inference(superposition,[status(thm)],[c_40980,c_102]) ).
tcf(c_42023,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42022,c_171]) ).
tcf(c_42194,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK25,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_42007,c_57]) ).
tcf(c_42330,plain,
perp(sK21,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_42023,c_169,c_177,c_181,c_186,c_235,c_2181,c_2263,c_6374,c_6387,c_6471,c_6645,c_6707,c_6724,c_6888,c_7477,c_7904,c_8567,c_10227,c_10998,c_11819,c_12212,c_12521,c_12988,c_18152,c_21886,c_22202,c_22204,c_25621,c_26933,c_31398,c_32260,c_33328,c_38561]) ).
tcf(c_42332,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_42330,c_57]) ).
tcf(c_42342,plain,
( perp(sK24,sK22,sK21,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_42330,c_27477]) ).
tcf(c_43038,plain,
( para(sK21,sK21,sK22,sK22)
| ~ midp(sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_27608,c_42332]) ).
tcf(c_43041,plain,
para(sK21,sK21,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_43038,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12211,c_12521,c_15104,c_21886,c_22202,c_22204,c_22627,c_32260,c_38561]) ).
tcf(c_43046,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ para(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_43041,c_54]) ).
tcf(c_43515,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK20,X0,sK27)
| ~ cong(X1,X2,X0,sK27)
| ~ cong(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_44180,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_42194,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_8053,c_10998,c_12521,c_21886,c_22202,c_22204,c_25740,c_32260,c_38561,c_40097,c_43046]) ).
tcf(c_44185,plain,
para(sK20,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_26302,c_44180]) ).
tcf(c_44193,plain,
para(sK26,sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_44185,c_53]) ).
tcf(c_45162,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_45240,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_45312,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_45162,c_51]) ).
tcf(c_45460,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_45162,c_45312]) ).
tcf(c_45494,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_45500,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_45501,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
tcf(c_45507,plain,
( cong(sK20,sK24,sK20,sK22)
| ~ midp(sK21,sK24,sK22) ),
inference(superposition,[status(thm)],[c_45240,c_104]) ).
tcf(c_45520,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_45494,c_169,c_2186,c_2263,c_6374,c_6471,c_6707,c_7477,c_8567,c_10227,c_12521,c_21886]) ).
tcf(c_45523,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_45520,c_56]) ).
tcf(c_45540,plain,
cong(sK24,sK20,sK24,sK21),
inference(global_subsumption_just,[status(thm)],[c_45500,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_7794,c_10998,c_12521,c_21886,c_22202,c_22204,c_32260,c_38561]) ).
tcf(c_45571,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_45572,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK25,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_57]) ).
tcf(c_45599,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK21)
| ~ cong(sK24,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_45540,c_60]) ).
tcf(c_45644,plain,
para(sK27,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_45523,c_45572]) ).
tcf(c_45707,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7290,c_51]) ).
tcf(c_45733,plain,
para(sK27,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_45644,c_52]) ).
tcf(c_45766,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_45460,c_45707]) ).
tcf(c_45774,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_45766,c_49]) ).
tcf(c_45779,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_45774,c_50]) ).
tcf(c_45830,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_45779,c_49]) ).
tcf(c_45866,plain,
cong(sK20,sK24,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_45507,c_171,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6374,c_6387,c_6389,c_6645,c_6696,c_6707,c_6724,c_6732,c_6888,c_7003,c_7269,c_7455,c_7477,c_10998,c_12521,c_21886,c_22202,c_22204,c_28370,c_28530,c_29701,c_32260,c_32262,c_35208,c_38561]) ).
tcf(c_45869,plain,
( midp(sK20,sK24,sK22)
| ~ coll(sK20,sK24,sK22) ),
inference(superposition,[status(thm)],[c_45866,c_116]) ).
tcf(c_45873,plain,
midp(sK20,sK24,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_45869,c_45830]) ).
tcf(c_46050,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_8060]) ).
tcf(c_46143,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_45599]) ).
tcf(c_46483,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_8255]) ).
tcf(c_46485,plain,
( circle(sK26,sK20,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_45501,c_8255]) ).
tcf(c_46488,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_46485,c_102]) ).
tcf(c_46489,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46488,c_169]) ).
tcf(c_46490,plain,
perp(sK20,sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_46489,c_169,c_177,c_181,c_186,c_235,c_2181,c_2263,c_6387,c_6645,c_6698,c_6707,c_6724,c_6888,c_7477,c_10998,c_12521,c_14543,c_21886,c_22202,c_22204,c_24081,c_25613,c_32260,c_33534,c_38561]) ).
tcf(c_46494,plain,
perp(sK22,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_46490,c_56]) ).
tcf(c_46499,plain,
para(sK26,sK25,sK22,sK22),
inference(superposition,[status(thm)],[c_46490,c_45571]) ).
tcf(c_46512,plain,
para(sK22,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_46499,c_53]) ).
tcf(c_46674,plain,
! [X0: $i] :
( circle(sK27,sK21,X0,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_117,c_8256]) ).
tcf(c_47426,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK26,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_46483,c_102]) ).
tcf(c_47427,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47426,c_169]) ).
tcf(c_47492,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ coll(sK27,sK21,sK22)
| ~ midp(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_46674,c_102]) ).
tcf(c_47493,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47492,c_171]) ).
tcf(c_47497,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,X0,X1,X2)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,X0)
| ~ perp(X0,sK22,X1,X2) ),
inference(superposition,[status(thm)],[c_47427,c_57]) ).
tcf(c_47499,plain,
! [X0: $i] :
( perp(X0,sK22,sK20,X0)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_47427,c_56]) ).
tcf(c_47512,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK21,X0,X1,X2)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,X0)
| ~ perp(X0,sK22,X1,X2) ),
inference(superposition,[status(thm)],[c_47493,c_57]) ).
tcf(c_47514,plain,
! [X0: $i] :
( perp(X0,sK22,sK21,X0)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_47493,c_56]) ).
tcf(c_47524,plain,
( para(sK24,sK22,sK20,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK20) ),
inference(superposition,[status(thm)],[c_47493,c_8057]) ).
tcf(c_47546,plain,
( para(sK26,sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_47499,c_45571]) ).
tcf(c_47575,plain,
( para(sK26,sK25,sK21,sK20)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK20) ),
inference(superposition,[status(thm)],[c_47514,c_45571]) ).
tcf(c_47688,plain,
para(sK24,sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_47524,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_7956,c_10998,c_12521,c_21886,c_22202,c_22204,c_29332,c_32260,c_38561,c_41825]) ).
tcf(c_47694,plain,
para(sK20,sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_47688,c_53]) ).
tcf(c_47727,plain,
para(sK26,sK25,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_47546,c_44193]) ).
tcf(c_47733,plain,
para(sK20,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_47727,c_53]) ).
tcf(c_47738,plain,
para(sK26,sK25,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_47575,c_18355,c_47694]) ).
tcf(c_47744,plain,
para(sK21,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_47738,c_53]) ).
tcf(c_48010,plain,
( para(sK20,sK24,sK20,sK21)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,sK24) ),
inference(superposition,[status(thm)],[c_164,c_47497]) ).
tcf(c_48021,plain,
( para(sK20,sK20,sK22,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_46490,c_47497]) ).
tcf(c_48137,plain,
! [X0: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK26,sK20,sK24)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_48010,c_94]) ).
tcf(c_48152,plain,
para(sK20,sK20,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_48021,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12211,c_12521,c_15104,c_21886,c_22202,c_22204,c_22627,c_25743,c_32260,c_38561]) ).
tcf(c_48157,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK20,X0,X1)
| ~ perp(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_48152,c_58]) ).
tcf(c_48166,plain,
( para(sK21,sK24,sK20,sK21)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK24) ),
inference(superposition,[status(thm)],[c_164,c_47512]) ).
tcf(c_48194,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK24,X0,X1)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK24)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_48166,c_58]) ).
tcf(c_48195,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK24)
| ~ para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_48166,c_54]) ).
tcf(c_48342,plain,
( perp(sK21,sK24,sK24,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK27,sK21,sK24) ),
inference(superposition,[status(thm)],[c_45240,c_48194]) ).
tcf(c_48358,plain,
perp(sK21,sK24,sK24,sK22),
inference(global_subsumption_just,[status(thm)],[c_48342,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_7477,c_10998,c_12521,c_21886,c_22202,c_22204,c_32260,c_34884,c_38561,c_42342,c_45873]) ).
tcf(c_48360,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ perp(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_48358,c_57]) ).
tcf(c_48451,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ para(sK20,sK21,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_48195,c_13682,c_24542,c_48360]) ).
tcf(c_48456,plain,
para(sK21,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_46050,c_48451]) ).
tcf(c_48462,plain,
! [X0: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_48456,c_94]) ).
tcf(c_48468,plain,
( midp(sK24,sK22,sK21)
| ~ midp(sK21,sK22,sK20)
| ~ coll(sK24,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_48596,plain,
! [X0: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK24,X0,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_48137,c_6677,c_6673,c_7947,c_7949,c_38603,c_48462]) ).
tcf(c_49081,plain,
perp(sK20,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_46494,c_48157]) ).
tcf(c_49426,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_7306,c_6778]) ).
tcf(c_49841,plain,
( midp(sK24,sK22,sK21)
| ~ midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_49426,c_48596]) ).
tcf(c_50097,plain,
para(sK21,sK20,sK27,sK25),
inference(superposition,[status(thm)],[c_45733,c_53]) ).
tcf(c_50356,plain,
para(sK22,sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_46512,c_52]) ).
tcf(c_50454,plain,
! [X0: $i] :
( midp(sK22,X0,sK26)
| ~ midp(sK22,X0,sK25)
| ~ coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_50356,c_94]) ).
tcf(c_50459,plain,
( midp(sK22,sK22,sK26)
| ~ midp(sK22,sK22,sK25)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_50454]) ).
tcf(c_50643,plain,
para(sK20,sK20,sK25,sK26),
inference(superposition,[status(thm)],[c_47733,c_52]) ).
tcf(c_50645,plain,
! [X0: $i] :
( midp(sK20,X0,sK25)
| ~ midp(sK21,X0,sK26)
| ~ coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_47744,c_94]) ).
tcf(c_50652,plain,
( midp(sK20,sK22,sK25)
| ~ midp(sK21,sK22,sK26)
| ~ coll(sK20,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_50645]) ).
tcf(c_50709,plain,
! [X0: $i] :
( midp(sK20,X0,sK26)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_50643,c_94]) ).
tcf(c_50714,plain,
( midp(sK20,sK22,sK26)
| ~ midp(sK20,sK22,sK25)
| ~ coll(sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_50709]) ).
tcf(c_50854,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_49081,c_104]) ).
tcf(c_52091,plain,
midp(sK24,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_49841,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6374,c_6387,c_6471,c_6645,c_6703,c_6707,c_6724,c_6781,c_6888,c_6910,c_7000,c_7266,c_7290,c_7306,c_7477,c_7946,c_7950,c_8567,c_10227,c_10998,c_11023,c_12521,c_12988,c_21122,c_21886,c_22202,c_22204,c_32260,c_33328,c_48468]) ).
tcf(c_52096,plain,
midp(sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_52091,c_59]) ).
tcf(c_52884,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ coll(sK24,sK20,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_46143,c_102]) ).
tcf(c_52885,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK24,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52884,c_165]) ).
tcf(c_52903,plain,
( para(sK26,sK25,sK22,sK21)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_52885,c_45571]) ).
tcf(c_52960,plain,
para(sK26,sK25,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_52903,c_169,c_177,c_181,c_235,c_2181,c_2263,c_6387,c_6645,c_6707,c_6724,c_6888,c_6910,c_7290,c_7477,c_7946,c_10998,c_12521,c_21886,c_22202,c_22204,c_22659,c_27875,c_32260,c_38561,c_52096]) ).
tcf(c_52966,plain,
para(sK22,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_52960,c_53]) ).
tcf(c_53305,plain,
! [X0: $i] :
( midp(sK21,X0,sK25)
| ~ midp(sK22,X0,sK26)
| ~ coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_52966,c_94]) ).
tcf(c_53309,plain,
para(sK22,sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_52966,c_52]) ).
tcf(c_53312,plain,
( midp(sK21,sK22,sK25)
| ~ midp(sK22,sK22,sK26)
| ~ coll(sK21,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_53305]) ).
tcf(c_54389,plain,
para(sK21,sK20,sK25,sK27),
inference(superposition,[status(thm)],[c_50097,c_52]) ).
tcf(c_54463,plain,
! [X0: $i] :
( midp(sK20,X0,sK27)
| ~ midp(sK21,X0,sK25)
| ~ coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_54389,c_94]) ).
tcf(c_54470,plain,
( midp(sK20,sK22,sK27)
| ~ midp(sK21,sK22,sK25)
| ~ coll(sK20,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_54463]) ).
tcf(c_59951,plain,
! [X0: $i] :
( cong(sK20,X0,sK20,sK26)
| ~ midp(sK20,X0,sK26) ),
inference(instantiation,[status(thm)],[c_33238]) ).
tcf(c_59953,plain,
( cong(sK20,sK22,sK20,sK26)
| ~ midp(sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_59951]) ).
tcf(c_59962,plain,
( cyclic(sK20,sK26,sK27,sK21)
| ~ cong(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_59967,plain,
! [X0: $i] :
( cong(sK20,X0,sK20,sK27)
| ~ midp(sK20,X0,sK27) ),
inference(instantiation,[status(thm)],[c_33238]) ).
tcf(c_59968,plain,
! [X0: $i] :
( cong(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,X0)
| ~ cong(sK20,X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_43515]) ).
tcf(c_59969,plain,
( cong(sK20,sK22,sK20,sK27)
| ~ midp(sK20,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_59967]) ).
tcf(c_59970,plain,
( cong(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK22,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_59968]) ).
tcf(c_60939,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK25,sK25)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK25,X1,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_60940,plain,
( midp(sK22,sK25,sK25)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_60939]) ).
tcf(c_63241,plain,
! [X0: $i] :
( midp(sK21,X0,sK26)
| ~ midp(sK22,X0,sK25)
| ~ coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_53309,c_94]) ).
tcf(c_63248,plain,
( midp(sK21,sK22,sK26)
| ~ midp(sK22,sK22,sK25)
| ~ coll(sK21,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_63241]) ).
tcf(c_66099,plain,
! [X0: $i,X1: $i] :
( midp(sK22,sK22,sK25)
| ~ coll(sK22,sK22,sK25)
| ~ midp(X0,sK22,X1)
| ~ para(X0,sK22,X1,sK25) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_66100,plain,
( midp(sK22,sK22,sK25)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK25)
| ~ para(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_66099]) ).
tcf(c_66133,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_66134,plain,
( perp(sK22,sK22,sK22,sK25)
| ~ cong(sK22,sK25,sK22,sK25)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_66133]) ).
tcf(c_67630,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,sK26)
| ~ midp(X0,X1,X2)
| ~ cong(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_8820]) ).
tcf(c_68365,plain,
! [X0: $i] :
( para(sK22,sK25,sK22,sK25)
| ~ cyclic(sK25,X0,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7054]) ).
tcf(c_68366,plain,
( para(sK22,sK25,sK22,sK25)
| ~ cyclic(sK25,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_68365]) ).
tcf(c_68391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK22,X3,sK25)
| ~ perp(X1,X2,X3,sK25)
| ~ perp(X0,sK22,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_68392,plain,
( para(sK22,sK22,sK22,sK25)
| ~ perp(sK22,sK22,sK22,sK25)
| ~ perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_68391]) ).
tcf(c_69047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X3,sK25,X0,sK22,X3,sK25,X1,X2)
| ~ para(X0,sK22,X1,X2) ),
inference(instantiation,[status(thm)],[c_8749]) ).
tcf(c_69048,plain,
( eqangle(sK22,sK25,sK22,sK22,sK22,sK25,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_69047]) ).
tcf(c_84861,plain,
! [X0: $i] :
( cyclic(sK25,X0,sK22,sK22)
| ~ coll(sK22,sK22,X0)
| ~ eqangle(sK22,sK25,sK22,X0,sK22,sK25,sK22,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_84863,plain,
( cyclic(sK25,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ eqangle(sK22,sK25,sK22,sK22,sK22,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_84861]) ).
tcf(c_87413,plain,
! [X0: $i] :
( cong(sK20,sK20,sK20,sK26)
| ~ midp(sK20,X0,sK20)
| ~ cong(sK20,X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_67630]) ).
tcf(c_87414,plain,
( cong(sK20,sK20,sK20,sK26)
| ~ midp(sK20,sK22,sK20)
| ~ cong(sK20,sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_87413]) ).
tcf(c_87415,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87414,c_84863,c_69048,c_68392,c_68366,c_66134,c_66100,c_63248,c_60940,c_59970,c_59969,c_59962,c_59953,c_54470,c_53312,c_50854,c_50714,c_50652,c_50459,c_41404,c_38497,c_33300,c_32262,c_32260,c_22204,c_22202,c_21886,c_21254,c_12521,c_10998,c_10563,c_10534,c_10227,c_8567,c_8518,c_8406,c_7477,c_7269,c_6888,c_6724,c_6707,c_6645,c_6471,c_6469,c_6441,c_6387,c_6374,c_6369,c_2263,c_2181,c_235,c_186,c_181,c_177,c_162,c_167,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO612+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:32:57 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 53.49/9.36 % SZS status Started for theBenchmark.p
% 53.49/9.36 % SZS status Theorem for theBenchmark.p
% 53.49/9.36
% 53.49/9.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 53.49/9.36
% 53.49/9.36 % ------ iProver source info
% 53.49/9.36
% 53.49/9.36 % git: date: 2026-07-19 20:42:38 +0200
% 53.49/9.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 53.49/9.36 % git: non_committed_changes: false
% 53.49/9.36
% 53.49/9.36 % ------ Parsing...
% 53.49/9.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 53.49/9.36
% 53.49/9.36 % ------ 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 %
% 53.49/9.36
% 53.49/9.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 53.49/9.36
% 53.49/9.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 53.49/9.36 % ------ Proving...
% 53.49/9.36 % ------ Problem Properties
% 53.49/9.36
% 53.49/9.36 %
% 53.49/9.36 % clauses 122
% 53.49/9.36 % conjectures 10
% 53.49/9.36 % EPR 85
% 53.49/9.36 % Horn 112
% 53.49/9.36 % unary 10
% 53.49/9.36 % binary 37
% 53.49/9.36 % lits 338
% 53.49/9.36 % lits eq 4
% 53.49/9.36 % fd_pure 0
% 53.49/9.36 % fd_pseudo 0
% 53.49/9.36 % fd_cond 0
% 53.49/9.36 % fd_pseudo_cond 4
% 53.49/9.36 % AC symbols 0
% 53.49/9.36
% 53.49/9.36 % ------ Input Options Time Limit: Unbounded
% 53.49/9.36
% 53.49/9.36
% 53.49/9.36 % ------
% 53.49/9.36 % Current options:
% 53.49/9.36 % ------
% 53.49/9.36
% 53.49/9.36
% 53.49/9.36 %
% 53.49/9.36
% 53.49/9.36 % ------ Proving...
% 53.49/9.36 %
% 53.49/9.36
% 53.49/9.36 % SZS status Theorem for theBenchmark.p
% 53.49/9.36
% 53.49/9.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.49/9.38
% 53.49/9.38
%------------------------------------------------------------------------------