%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO585+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 : n009.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 01:21:33 PM UTC 2026
% Result : Theorem 21.28s 4.77s
% Output : CNFRefutation 21.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 35
% Syntax : Number of formulae : 631 ( 209 unt; 0 def)
% Number of atoms : 1296 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1258 ( 593 ~; 570 |; 59 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 911 ( 0 sgn 895 !; 16 ?; 318 :)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X5,X4,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(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(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(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(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(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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ~ cyclic(X0,X5,X4,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ~ cyclic(X0,X5,X4,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( perp(sK22,sK24,sK20,sK26)
& perp(sK20,sK24,sK22,sK26)
& perp(sK20,sK22,sK24,sK26)
& perp(sK21,sK24,sK20,sK25)
& perp(sK20,sK24,sK21,sK25)
& perp(sK20,sK21,sK24,sK25)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22)
& ~ cyclic(sK20,sK25,sK24,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(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(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(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(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(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(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(f384,plain,
perp(sK22,sK24,sK20,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK20,sK24,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
perp(sK20,sK22,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK21,sK24,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK20,sK24,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK20,sK21,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ cyclic(sK20,sK25,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_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_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_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_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_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_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_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_162,negated_conjecture,
~ cyclic(sK20,sK25,sK24,sK26),
inference(cnf_transformation,[],[f392]) ).
tcf(c_165,negated_conjecture,
perp(sK20,sK21,sK24,sK25),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
perp(sK20,sK24,sK21,sK25),
inference(cnf_transformation,[],[f388]) ).
tcf(c_167,negated_conjecture,
perp(sK21,sK24,sK20,sK25),
inference(cnf_transformation,[],[f387]) ).
tcf(c_168,negated_conjecture,
perp(sK20,sK22,sK24,sK26),
inference(cnf_transformation,[],[f386]) ).
tcf(c_169,negated_conjecture,
perp(sK20,sK24,sK22,sK26),
inference(cnf_transformation,[],[f385]) ).
tcf(c_170,negated_conjecture,
perp(sK22,sK24,sK20,sK26),
inference(cnf_transformation,[],[f384]) ).
tcf(c_176,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4832,negated_conjecture,
perp(sK22,sK24,sK20,sK26),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4833,negated_conjecture,
perp(sK20,sK24,sK22,sK26),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4834,negated_conjecture,
perp(sK20,sK22,sK24,sK26),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4835,negated_conjecture,
perp(sK21,sK24,sK20,sK25),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4836,negated_conjecture,
perp(sK20,sK24,sK21,sK25),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4837,negated_conjecture,
perp(sK20,sK21,sK24,sK25),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_6417,plain,
perp(sK20,sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_4837,c_55]) ).
tcf(c_6418,plain,
perp(sK20,sK24,sK25,sK21),
inference(superposition,[status(thm)],[c_4836,c_55]) ).
tcf(c_6419,plain,
perp(sK21,sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_4835,c_55]) ).
tcf(c_6420,plain,
perp(sK20,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_4834,c_55]) ).
tcf(c_6421,plain,
perp(sK20,sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_4833,c_55]) ).
tcf(c_6422,plain,
perp(sK22,sK24,sK26,sK20),
inference(superposition,[status(thm)],[c_4832,c_55]) ).
tcf(c_6438,plain,
perp(sK24,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_4837,c_56]) ).
tcf(c_6439,plain,
perp(sK21,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_4836,c_56]) ).
tcf(c_6440,plain,
perp(sK20,sK25,sK21,sK24),
inference(superposition,[status(thm)],[c_4835,c_56]) ).
tcf(c_6441,plain,
perp(sK24,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_4834,c_56]) ).
tcf(c_6442,plain,
perp(sK22,sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_4833,c_56]) ).
tcf(c_6443,plain,
perp(sK20,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_4832,c_56]) ).
tcf(c_6446,plain,
perp(sK25,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_6417,c_56]) ).
tcf(c_6448,plain,
perp(sK25,sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6419,c_56]) ).
tcf(c_6449,plain,
perp(sK26,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_6420,c_56]) ).
tcf(c_6450,plain,
perp(sK26,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_6421,c_56]) ).
tcf(c_6467,plain,
perp(sK26,sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_6422,c_56]) ).
tcf(c_6470,plain,
perp(sK24,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_6438,c_55]) ).
tcf(c_6472,plain,
perp(sK21,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_6439,c_55]) ).
tcf(c_6474,plain,
perp(sK20,sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_6440,c_55]) ).
tcf(c_6476,plain,
perp(sK24,sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_6441,c_55]) ).
tcf(c_6478,plain,
perp(sK22,sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_6442,c_55]) ).
tcf(c_6480,plain,
perp(sK20,sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_6443,c_55]) ).
tcf(c_6482,plain,
perp(sK25,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_6446,c_55]) ).
tcf(c_6486,plain,
perp(sK25,sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_6448,c_55]) ).
tcf(c_6488,plain,
perp(sK26,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_6449,c_55]) ).
tcf(c_6490,plain,
perp(sK26,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_6450,c_55]) ).
tcf(c_6492,plain,
perp(sK26,sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_6467,c_55]) ).
tcf(c_6497,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6504,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_6517,plain,
perp(sK21,sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_6470,c_56]) ).
tcf(c_6521,plain,
perp(sK24,sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_6474,c_56]) ).
tcf(c_6523,plain,
perp(sK22,sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_6476,c_56]) ).
tcf(c_6525,plain,
perp(sK24,sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_6478,c_56]) ).
tcf(c_6527,plain,
perp(sK24,sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_6480,c_56]) ).
tcf(c_6561,plain,
perp(sK21,sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_6482,c_56]) ).
tcf(c_6565,plain,
perp(sK24,sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_6486,c_56]) ).
tcf(c_6583,plain,
perp(sK22,sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_6488,c_56]) ).
tcf(c_6587,plain,
perp(sK24,sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_6492,c_56]) ).
tcf(c_6741,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
tcf(c_6755,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6497,c_72]) ).
tcf(c_6764,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6504,c_71]) ).
tcf(c_6772,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6755,c_71]) ).
tcf(c_6779,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6764,c_72]) ).
tcf(c_6814,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6755,c_6741]) ).
tcf(c_6817,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6779,c_6741]) ).
tcf(c_6829,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6814,c_53]) ).
tcf(c_6830,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X1,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6814,c_52]) ).
tcf(c_6846,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,X0)
| ~ midp(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6817,c_53]) ).
tcf(c_6951,plain,
( cong(sK20,sK24,sK20,sK25)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_4837,c_104]) ).
tcf(c_6952,plain,
( cong(sK20,sK21,sK20,sK25)
| ~ midp(sK24,sK21,sK25) ),
inference(superposition,[status(thm)],[c_4836,c_104]) ).
tcf(c_6953,plain,
( cong(sK21,sK20,sK21,sK25)
| ~ midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_4835,c_104]) ).
tcf(c_6954,plain,
( cong(sK20,sK24,sK20,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_4834,c_104]) ).
tcf(c_6956,plain,
( cong(sK22,sK20,sK22,sK26)
| ~ midp(sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_4832,c_104]) ).
tcf(c_6959,plain,
( cong(sK20,sK25,sK20,sK24)
| ~ midp(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_6417,c_104]) ).
tcf(c_6960,plain,
( cong(sK20,sK25,sK20,sK21)
| ~ midp(sK24,sK25,sK21) ),
inference(superposition,[status(thm)],[c_6418,c_104]) ).
tcf(c_6961,plain,
( cong(sK21,sK25,sK21,sK20)
| ~ midp(sK24,sK25,sK20) ),
inference(superposition,[status(thm)],[c_6419,c_104]) ).
tcf(c_6962,plain,
( cong(sK20,sK26,sK20,sK24)
| ~ midp(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_6420,c_104]) ).
tcf(c_6963,plain,
( cong(sK20,sK26,sK20,sK22)
| ~ midp(sK24,sK26,sK22) ),
inference(superposition,[status(thm)],[c_6421,c_104]) ).
tcf(c_6964,plain,
( cong(sK22,sK26,sK22,sK20)
| ~ midp(sK24,sK26,sK20) ),
inference(superposition,[status(thm)],[c_6422,c_104]) ).
tcf(c_6968,plain,
( cong(sK21,sK20,sK21,sK24)
| ~ midp(sK25,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6439,c_104]) ).
tcf(c_6971,plain,
( cong(sK22,sK20,sK22,sK24)
| ~ midp(sK26,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6442,c_104]) ).
tcf(c_6972,plain,
( cong(sK20,sK22,sK20,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6443,c_104]) ).
tcf(c_6975,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6446,c_104]) ).
tcf(c_6979,plain,
( cong(sK26,sK20,sK26,sK24)
| ~ midp(sK22,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6450,c_104]) ).
tcf(c_6985,plain,
( cong(sK22,sK24,sK22,sK20)
| ~ midp(sK26,sK24,sK20) ),
inference(superposition,[status(thm)],[c_6478,c_104]) ).
tcf(c_6991,plain,
( cong(sK26,sK24,sK26,sK20)
| ~ midp(sK22,sK24,sK20) ),
inference(superposition,[status(thm)],[c_6490,c_104]) ).
tcf(c_6993,plain,
( cong(sK21,sK24,sK21,sK25)
| ~ midp(sK20,sK24,sK25) ),
inference(superposition,[status(thm)],[c_6517,c_104]) ).
tcf(c_6995,plain,
( cong(sK24,sK20,sK24,sK25)
| ~ midp(sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_6521,c_104]) ).
tcf(c_6996,plain,
( cong(sK22,sK24,sK22,sK26)
| ~ midp(sK20,sK24,sK26) ),
inference(superposition,[status(thm)],[c_6523,c_104]) ).
tcf(c_6997,plain,
( cong(sK24,sK22,sK24,sK26)
| ~ midp(sK20,sK22,sK26) ),
inference(superposition,[status(thm)],[c_6525,c_104]) ).
tcf(c_6998,plain,
( cong(sK24,sK20,sK24,sK26)
| ~ midp(sK22,sK20,sK26) ),
inference(superposition,[status(thm)],[c_6527,c_104]) ).
tcf(c_7003,plain,
( cong(sK21,sK25,sK21,sK24)
| ~ midp(sK20,sK25,sK24) ),
inference(superposition,[status(thm)],[c_6561,c_104]) ).
tcf(c_7005,plain,
( cong(sK24,sK25,sK24,sK20)
| ~ midp(sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_6565,c_104]) ).
tcf(c_7006,plain,
( cong(sK22,sK26,sK22,sK24)
| ~ midp(sK20,sK26,sK24) ),
inference(superposition,[status(thm)],[c_6583,c_104]) ).
tcf(c_7008,plain,
( cong(sK24,sK26,sK24,sK20)
| ~ midp(sK22,sK26,sK20) ),
inference(superposition,[status(thm)],[c_6587,c_104]) ).
tcf(c_7220,plain,
! [X0: $i,X1: $i] :
( para(X1,X0,X0,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_6830,c_53]) ).
tcf(c_7232,plain,
( cong(sK20,sK25,sK20,sK24)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_6951,c_72]) ).
tcf(c_7246,plain,
( cong(sK20,sK25,sK20,sK21)
| ~ midp(sK24,sK21,sK25) ),
inference(superposition,[status(thm)],[c_6952,c_72]) ).
tcf(c_7260,plain,
( cong(sK21,sK25,sK21,sK20)
| ~ midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_6953,c_72]) ).
tcf(c_7280,plain,
( cong(sK20,sK26,sK20,sK24)
| ~ midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_6954,c_72]) ).
tcf(c_7308,plain,
( cong(sK22,sK26,sK22,sK20)
| ~ midp(sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_6956,c_72]) ).
tcf(c_7328,plain,
( cong(sK20,sK24,sK20,sK25)
| ~ midp(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_6959,c_72]) ).
tcf(c_7400,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK24,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4837,c_57]) ).
tcf(c_7401,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ perp(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4836,c_57]) ).
tcf(c_7402,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ perp(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4835,c_57]) ).
tcf(c_7403,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK24,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_4834,c_57]) ).
tcf(c_7405,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ perp(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_4832,c_57]) ).
tcf(c_7416,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6438,c_57]) ).
tcf(c_7417,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK25,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6439,c_57]) ).
tcf(c_7418,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK25,X0,X1)
| ~ perp(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6440,c_57]) ).
tcf(c_7419,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK26,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6441,c_57]) ).
tcf(c_7420,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK26,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6442,c_57]) ).
tcf(c_7421,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK26,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6443,c_57]) ).
tcf(c_7907,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6438,c_7400]) ).
tcf(c_7908,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6470,c_7400]) ).
tcf(c_7917,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_6439,c_7401]) ).
tcf(c_7918,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6472,c_7401]) ).
tcf(c_7927,plain,
para(sK21,sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_6440,c_7402]) ).
tcf(c_7928,plain,
para(sK21,sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6474,c_7402]) ).
tcf(c_7937,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6441,c_7403]) ).
tcf(c_7938,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6476,c_7403]) ).
tcf(c_7957,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_6443,c_7405]) ).
tcf(c_7958,plain,
para(sK22,sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6480,c_7405]) ).
tcf(c_7982,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7907,c_115]) ).
tcf(c_7984,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7908,c_54]) ).
tcf(c_7985,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7908,c_53]) ).
tcf(c_8033,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK24,X0,X1)
| ~ midp(sK21,sK24,sK25)
| ~ cong(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_6951,c_73]) ).
tcf(c_8035,plain,
! [X0: $i,X1: $i] :
( cong(sK21,sK20,X0,X1)
| ~ midp(sK24,sK20,sK25)
| ~ cong(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_6953,c_73]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i] :
( cong(sK22,sK20,X0,X1)
| ~ midp(sK24,sK20,sK26)
| ~ cong(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_6956,c_73]) ).
tcf(c_8039,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK25,X0,X1)
| ~ midp(sK21,sK25,sK24)
| ~ cong(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6959,c_73]) ).
tcf(c_8151,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_7982,c_51]) ).
tcf(c_8152,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7982,c_50]) ).
tcf(c_8159,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_8152,c_49]) ).
tcf(c_8177,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_8159,c_51]) ).
tcf(c_8187,plain,
coll(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_7917,c_115]) ).
tcf(c_8189,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7918,c_54]) ).
tcf(c_8190,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_7918,c_53]) ).
tcf(c_8202,plain,
coll(sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_7927,c_115]) ).
tcf(c_8205,plain,
para(sK24,sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_7928,c_53]) ).
tcf(c_8217,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_7937,c_115]) ).
tcf(c_8232,plain,
coll(sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_7957,c_115]) ).
tcf(c_8235,plain,
para(sK24,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_7958,c_53]) ).
tcf(c_8249,plain,
! [X0: $i,X1: $i] :
( cong(sK21,sK25,X0,X1)
| ~ midp(sK24,sK25,sK20)
| ~ cong(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6961,c_73]) ).
tcf(c_8250,plain,
( cong(sK21,sK20,sK21,sK25)
| ~ midp(sK24,sK25,sK20) ),
inference(superposition,[status(thm)],[c_6961,c_72]) ).
tcf(c_8401,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_8187,c_51]) ).
tcf(c_8402,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_8187,c_50]) ).
tcf(c_8416,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_8202,c_51]) ).
tcf(c_8417,plain,
coll(sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_8202,c_50]) ).
tcf(c_8422,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_8217,c_51]) ).
tcf(c_8423,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_8217,c_50]) ).
tcf(c_8428,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_8232,c_51]) ).
tcf(c_8429,plain,
coll(sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_8232,c_50]) ).
tcf(c_8496,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK26,X0,X1)
| ~ midp(sK22,sK26,sK24)
| ~ cong(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6962,c_73]) ).
tcf(c_8497,plain,
( cong(sK20,sK24,sK20,sK26)
| ~ midp(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_6962,c_72]) ).
tcf(c_8535,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK26,X0,X1)
| ~ midp(sK24,sK26,sK22)
| ~ cong(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6963,c_73]) ).
tcf(c_8536,plain,
( cong(sK20,sK22,sK20,sK26)
| ~ midp(sK24,sK26,sK22) ),
inference(superposition,[status(thm)],[c_6963,c_72]) ).
tcf(c_8559,plain,
! [X0: $i,X1: $i] :
( cong(sK22,sK26,X0,X1)
| ~ midp(sK24,sK26,sK20)
| ~ cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6964,c_73]) ).
tcf(c_8560,plain,
( cong(sK22,sK20,sK22,sK26)
| ~ midp(sK24,sK26,sK20) ),
inference(superposition,[status(thm)],[c_6964,c_72]) ).
tcf(c_8806,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_8402,c_49]) ).
tcf(c_8811,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_8417,c_49]) ).
tcf(c_8816,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_8423,c_49]) ).
tcf(c_8821,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_8429,c_49]) ).
tcf(c_8830,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ midp(sK26,sK22,sK24)
| ~ cong(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6972,c_73]) ).
tcf(c_8831,plain,
( cong(sK20,sK24,sK20,sK22)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6972,c_72]) ).
tcf(c_8868,plain,
( midp(sK20,sK25,sK24)
| ~ midp(sK21,sK24,sK25)
| ~ coll(sK20,sK25,sK24) ),
inference(superposition,[status(thm)],[c_7232,c_116]) ).
tcf(c_8938,plain,
( midp(sK21,sK25,sK20)
| ~ midp(sK24,sK20,sK25)
| ~ coll(sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_7260,c_116]) ).
tcf(c_9005,plain,
( midp(sK20,sK26,sK24)
| ~ midp(sK22,sK24,sK26)
| ~ coll(sK20,sK26,sK24) ),
inference(superposition,[status(thm)],[c_7280,c_116]) ).
tcf(c_9159,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_8806,c_51]) ).
tcf(c_9167,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_8811,c_51]) ).
tcf(c_9175,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_8816,c_51]) ).
tcf(c_9181,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_8821,c_51]) ).
tcf(c_9276,plain,
( midp(sK22,sK26,sK20)
| ~ midp(sK24,sK20,sK26)
| ~ coll(sK22,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7308,c_116]) ).
tcf(c_9395,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_9408,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9395]) ).
tcf(c_9426,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7907,c_94]) ).
tcf(c_9428,plain,
! [X0: $i] :
( midp(sK24,X0,sK24)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_7917,c_94]) ).
tcf(c_9429,plain,
! [X0: $i] :
( midp(sK24,X0,sK20)
| ~ midp(sK20,X0,sK24)
| ~ coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_7918,c_94]) ).
tcf(c_9431,plain,
! [X0: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK21,X0,sK24)
| ~ coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_7928,c_94]) ).
tcf(c_9433,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7938,c_94]) ).
tcf(c_9435,plain,
! [X0: $i] :
( midp(sK24,X0,sK22)
| ~ midp(sK22,X0,sK24)
| ~ coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_7958,c_94]) ).
tcf(c_9496,plain,
( midp(sK24,sK20,sK20)
| ~ midp(sK20,sK20,sK24)
| ~ coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9429]) ).
tcf(c_9497,plain,
( midp(sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_9428]) ).
tcf(c_9499,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9426]) ).
tcf(c_9609,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7985,c_52]) ).
tcf(c_9626,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_8190,c_52]) ).
tcf(c_9645,plain,
para(sK24,sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_8205,c_52]) ).
tcf(c_9774,plain,
para(sK24,sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_4837,c_7416]) ).
tcf(c_9776,plain,
para(sK24,sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_6417,c_7416]) ).
tcf(c_9812,plain,
! [X0: $i] :
( midp(sK25,X0,sK24)
| ~ midp(sK24,X0,sK25)
| ~ coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_9776,c_94]) ).
tcf(c_9815,plain,
para(sK25,sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_9776,c_53]) ).
tcf(c_9826,plain,
( midp(sK25,sK20,sK24)
| ~ midp(sK24,sK20,sK25)
| ~ coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_9812]) ).
tcf(c_10334,plain,
para(sK24,sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_8235,c_52]) ).
tcf(c_10350,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_9609,c_115]) ).
tcf(c_10359,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_4836,c_7417]) ).
tcf(c_10362,plain,
para(sK21,sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_6418,c_7417]) ).
tcf(c_10363,plain,
para(sK21,sK25,sK26,sK22),
inference(superposition,[status(thm)],[c_6421,c_7417]) ).
tcf(c_10428,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_10359,c_115]) ).
tcf(c_10496,plain,
coll(sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_10428,c_50]) ).
tcf(c_10504,plain,
para(sK25,sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_10362,c_53]) ).
tcf(c_10519,plain,
para(sK26,sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_10363,c_53]) ).
tcf(c_10866,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_10350,c_50]) ).
tcf(c_10873,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_10496,c_49]) ).
tcf(c_10877,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_10866,c_51]) ).
tcf(c_10882,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_10877]) ).
tcf(c_10909,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_10873,c_51]) ).
tcf(c_10914,plain,
( coll(sK21,sK20,sK25)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_10909]) ).
tcf(c_10919,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_4835,c_7418]) ).
tcf(c_10969,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_10919,c_115]) ).
tcf(c_10975,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_10969,c_50]) ).
tcf(c_10999,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_4834,c_7419]) ).
tcf(c_11000,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_6420,c_7419]) ).
tcf(c_11028,plain,
coll(sK24,sK26,sK26),
inference(superposition,[status(thm)],[c_10999,c_115]) ).
tcf(c_11060,plain,
coll(sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_11028,c_50]) ).
tcf(c_11065,plain,
! [X0: $i] :
( midp(sK26,X0,sK24)
| ~ midp(sK24,X0,sK26)
| ~ coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_11000,c_94]) ).
tcf(c_11068,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_11000,c_53]) ).
tcf(c_11079,plain,
( midp(sK26,sK20,sK24)
| ~ midp(sK24,sK20,sK26)
| ~ coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_11065]) ).
tcf(c_11192,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7917,c_113]) ).
tcf(c_11201,plain,
! [X0: $i] :
( midp(X0,sK20,sK24)
| ~ midp(X0,sK24,sK20)
| ~ para(sK24,sK24,sK20,sK20) ),
inference(superposition,[status(thm)],[c_8190,c_113]) ).
tcf(c_11291,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11192,c_7917]) ).
tcf(c_11333,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11291]) ).
tcf(c_11352,plain,
( midp(sK20,sK20,sK24)
| ~ midp(sK20,sK24,sK20)
| ~ para(sK24,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11201]) ).
tcf(c_11646,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_10975,c_49]) ).
tcf(c_11651,plain,
coll(sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_11060,c_49]) ).
tcf(c_11705,plain,
para(sK22,sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_6421,c_7420]) ).
tcf(c_11748,plain,
para(sK26,sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_11705,c_53]) ).
tcf(c_11933,plain,
! [X0: $i] :
( coll(sK24,X0,sK26)
| ~ coll(sK26,sK26,X0) ),
inference(superposition,[status(thm)],[c_11651,c_51]) ).
tcf(c_11938,plain,
( coll(sK24,sK20,sK26)
| ~ coll(sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_11933]) ).
tcf(c_11957,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_9626,c_115]) ).
tcf(c_12025,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_4832,c_7421]) ).
tcf(c_12039,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_12025,c_113]) ).
tcf(c_12045,plain,
coll(sK20,sK26,sK26),
inference(superposition,[status(thm)],[c_12025,c_115]) ).
tcf(c_12049,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12039,c_12025]) ).
tcf(c_12052,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12049]) ).
tcf(c_12055,plain,
coll(sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_12045,c_50]) ).
tcf(c_12236,plain,
coll(sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_12055,c_49]) ).
tcf(c_12800,plain,
! [X0: $i,X1: $i] :
( cyclic(sK24,X0,sK25,X1)
| ~ midp(sK21,sK24,sK25)
| ~ cong(sK20,sK24,sK20,X1)
| ~ cong(sK20,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_6951,c_61]) ).
tcf(c_12802,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK25,X1)
| ~ midp(sK24,sK20,sK25)
| ~ cong(sK21,sK20,sK21,X1)
| ~ cong(sK21,sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6953,c_61]) ).
tcf(c_12805,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK26,X1)
| ~ midp(sK24,sK20,sK26)
| ~ cong(sK22,sK20,sK22,X1)
| ~ cong(sK22,sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6956,c_61]) ).
tcf(c_13015,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK21,sK24,sK21) ),
inference(superposition,[status(thm)],[c_9645,c_113]) ).
tcf(c_13025,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13015,c_9645]) ).
tcf(c_14043,plain,
para(sK25,sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_9815,c_52]) ).
tcf(c_14092,plain,
coll(sK24,sK22,sK22),
inference(superposition,[status(thm)],[c_10334,c_115]) ).
tcf(c_14102,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_14092,c_50]) ).
tcf(c_14772,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_14102,c_49]) ).
tcf(c_14782,plain,
! [X0: $i] :
( midp(sK21,X0,sK25)
| ~ midp(sK25,X0,sK21)
| ~ coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_10504,c_94]) ).
tcf(c_14786,plain,
para(sK25,sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_10504,c_52]) ).
tcf(c_14799,plain,
( midp(sK21,sK20,sK25)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_14782]) ).
tcf(c_14806,plain,
para(sK26,sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_10519,c_52]) ).
tcf(c_15293,plain,
! [X0: $i] :
( midp(sK24,X0,sK26)
| ~ midp(sK26,X0,sK24)
| ~ coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_11068,c_94]) ).
tcf(c_15297,plain,
para(sK26,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_11068,c_52]) ).
tcf(c_15310,plain,
( midp(sK24,sK20,sK26)
| ~ midp(sK26,sK20,sK24)
| ~ coll(sK24,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_15293]) ).
tcf(c_15317,plain,
para(sK26,sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_11748,c_52]) ).
tcf(c_15771,plain,
coll(sK25,sK24,sK24),
inference(superposition,[status(thm)],[c_14043,c_115]) ).
tcf(c_15789,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_15771,c_50]) ).
tcf(c_15816,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_15789,c_49]) ).
tcf(c_15974,plain,
( cong(sK20,sK24,sK20,sK24)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_7232,c_8033]) ).
tcf(c_16108,plain,
( cong(sK21,sK20,sK21,sK20)
| ~ midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7260,c_8035]) ).
tcf(c_16886,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_15816,c_51]) ).
tcf(c_16891,plain,
( coll(sK25,sK20,sK24)
| ~ coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_16886]) ).
tcf(c_16898,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_14786,c_115]) ).
tcf(c_16908,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_16898,c_50]) ).
tcf(c_16915,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_16908,c_49]) ).
tcf(c_17430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_17466,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17430]) ).
tcf(c_18249,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK22,X0,X1)
| ~ perp(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_14806,c_58]) ).
tcf(c_18401,plain,
( cyclic(sK20,sK25,sK24,sK26)
| ~ cyclic(sK25,sK20,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_18939,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK24,sK26,sK24) ),
inference(superposition,[status(thm)],[c_15297,c_113]) ).
tcf(c_18945,plain,
coll(sK26,sK24,sK24),
inference(superposition,[status(thm)],[c_15297,c_115]) ).
tcf(c_18949,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK26,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18939,c_15297]) ).
tcf(c_18965,plain,
coll(sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_18945,c_50]) ).
tcf(c_18972,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_18965,c_49]) ).
tcf(c_18994,plain,
! [X0: $i] :
( coll(sK26,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_18972,c_51]) ).
tcf(c_18999,plain,
( coll(sK26,sK20,sK24)
| ~ coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_18994]) ).
tcf(c_19006,plain,
coll(sK26,sK22,sK22),
inference(superposition,[status(thm)],[c_15317,c_115]) ).
tcf(c_19598,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_19006,c_50]) ).
tcf(c_19605,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_19598,c_49]) ).
tcf(c_20386,plain,
! [X0: $i] :
( cyclic(sK24,sK24,sK25,X0)
| ~ midp(sK21,sK24,sK25)
| ~ midp(sK24,sK20,sK20)
| ~ cong(sK20,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_6772,c_12800]) ).
tcf(c_20388,plain,
! [X0: $i] :
( cyclic(sK24,sK25,sK25,X0)
| ~ midp(sK21,sK24,sK25)
| ~ cong(sK20,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_6951,c_12800]) ).
tcf(c_20470,plain,
( cyclic(sK24,sK25,sK25,sK25)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_6951,c_20388]) ).
tcf(c_20530,plain,
( cyclic(sK25,sK24,sK25,sK25)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_20470,c_64]) ).
tcf(c_20633,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_16915,c_8177]) ).
tcf(c_20733,plain,
coll(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_20633,c_50]) ).
tcf(c_20734,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_20633,c_49]) ).
tcf(c_21217,plain,
! [X0: $i] :
( cyclic(sK20,sK25,sK25,X0)
| ~ midp(sK24,sK20,sK25)
| ~ cong(sK21,sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6953,c_12802]) ).
tcf(c_21282,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_20734,c_50]) ).
tcf(c_21284,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_20734,c_8151]) ).
tcf(c_21328,plain,
( cyclic(sK20,sK25,sK25,sK24)
| ~ midp(sK24,sK20,sK25)
| ~ midp(sK25,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6968,c_21217]) ).
tcf(c_22612,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_8821,c_9159]) ).
tcf(c_22613,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_15816,c_9159]) ).
tcf(c_22614,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_18972,c_9159]) ).
tcf(c_22689,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_15816,c_9167]) ).
tcf(c_22709,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_14772,c_9175]) ).
tcf(c_22710,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_19605,c_9175]) ).
tcf(c_22728,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_22612,c_50]) ).
tcf(c_22730,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_22612,c_8422]) ).
tcf(c_22740,plain,
coll(sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_22613,c_49]) ).
tcf(c_22747,plain,
coll(sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_22614,c_50]) ).
tcf(c_22748,plain,
coll(sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_22614,c_49]) ).
tcf(c_23893,plain,
coll(sK24,sK20,sK25),
inference(superposition,[status(thm)],[c_22740,c_50]) ).
tcf(c_23895,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_22740,c_8401]) ).
tcf(c_23900,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_22747,c_49]) ).
tcf(c_23911,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_22689,c_49]) ).
tcf(c_24526,plain,
coll(sK24,sK20,sK26),
inference(superposition,[status(thm)],[c_22748,c_50]) ).
tcf(c_24528,plain,
coll(sK24,sK26,sK20),
inference(superposition,[status(thm)],[c_22748,c_8401]) ).
tcf(c_24577,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_22710,c_49]) ).
tcf(c_25072,plain,
coll(sK24,sK25,sK21),
inference(superposition,[status(thm)],[c_23911,c_8416]) ).
tcf(c_25371,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_24577,c_50]) ).
tcf(c_25373,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_24577,c_8422]) ).
tcf(c_25539,plain,
( midp(sK25,sK20,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6975,c_116]) ).
tcf(c_25558,plain,
( midp(sK25,sK20,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25539,c_20733]) ).
tcf(c_25737,plain,
coll(sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_18972,c_9181]) ).
tcf(c_26340,plain,
( midp(sK26,sK20,sK24)
| ~ midp(sK22,sK20,sK24)
| ~ coll(sK26,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6979,c_116]) ).
tcf(c_26359,plain,
( midp(sK26,sK20,sK24)
| ~ midp(sK22,sK20,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26340,c_22747]) ).
tcf(c_27119,plain,
coll(sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_25737,c_50]) ).
tcf(c_27120,plain,
coll(sK22,sK24,sK26),
inference(superposition,[status(thm)],[c_25737,c_49]) ).
tcf(c_27285,plain,
( cong(sK22,sK20,sK22,sK24)
| ~ midp(sK26,sK24,sK20) ),
inference(superposition,[status(thm)],[c_6985,c_72]) ).
tcf(c_27575,plain,
( midp(sK20,sK24,sK25)
| ~ midp(sK21,sK25,sK24)
| ~ coll(sK20,sK24,sK25) ),
inference(superposition,[status(thm)],[c_7328,c_116]) ).
tcf(c_27600,plain,
( midp(sK20,sK24,sK25)
| ~ midp(sK21,sK25,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27575,c_22740]) ).
tcf(c_27890,plain,
( midp(sK21,sK20,sK25)
| ~ midp(sK24,sK25,sK20)
| ~ coll(sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_8250,c_116]) ).
tcf(c_27910,plain,
( midp(sK21,sK20,sK25)
| ~ midp(sK24,sK25,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27890,c_21282]) ).
tcf(c_28029,plain,
coll(sK24,sK22,sK26),
inference(superposition,[status(thm)],[c_27120,c_50]) ).
tcf(c_28031,plain,
coll(sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_27120,c_8428]) ).
tcf(c_28132,plain,
( midp(sK20,sK24,sK26)
| ~ midp(sK22,sK26,sK24)
| ~ coll(sK20,sK24,sK26) ),
inference(superposition,[status(thm)],[c_8497,c_116]) ).
tcf(c_28157,plain,
( midp(sK20,sK24,sK26)
| ~ midp(sK22,sK26,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28132,c_22748]) ).
tcf(c_28298,plain,
( midp(sK20,sK22,sK26)
| ~ midp(sK24,sK26,sK22)
| ~ coll(sK20,sK22,sK26) ),
inference(superposition,[status(thm)],[c_8536,c_116]) ).
tcf(c_28316,plain,
( midp(sK20,sK22,sK26)
| ~ midp(sK24,sK26,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28298,c_24577]) ).
tcf(c_28455,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK24,sK26,sK20)
| ~ coll(sK22,sK20,sK26) ),
inference(superposition,[status(thm)],[c_8560,c_116]) ).
tcf(c_28475,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK24,sK26,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28455,c_25371]) ).
tcf(c_28877,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK25,X0,X1,sK24,sK25,X0,X1)
| ~ para(sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_28878,plain,
( eqangle(sK24,sK25,sK20,sK20,sK24,sK25,sK20,sK20)
| ~ para(sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_28877]) ).
tcf(c_29746,plain,
( midp(sK20,sK24,sK22)
| ~ midp(sK26,sK22,sK24)
| ~ coll(sK20,sK24,sK22) ),
inference(superposition,[status(thm)],[c_8831,c_116]) ).
tcf(c_29771,plain,
( midp(sK20,sK24,sK22)
| ~ midp(sK26,sK22,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29746,c_22709]) ).
tcf(c_29901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK24,sK25,sK24,sK25)
| ~ eqangle(X0,X1,X2,X3,sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_29902,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK24,sK25,sK24,sK25)
| ~ eqangle(sK20,sK20,sK20,sK20,sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_29901]) ).
tcf(c_30769,plain,
( cyclic(sK24,sK25,sK25,sK24)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_15974,c_20388]) ).
tcf(c_30770,plain,
! [X0: $i] :
( cyclic(sK24,sK24,sK25,X0)
| ~ midp(sK21,sK24,sK25)
| ~ cong(sK20,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_15974,c_12800]) ).
tcf(c_31016,plain,
( cyclic(sK20,sK25,sK25,sK20)
| ~ midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_16108,c_21217]) ).
tcf(c_31539,plain,
( cyclic(sK25,sK25,sK24,sK25)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_20530,c_63]) ).
tcf(c_32122,plain,
( cyclic(sK25,sK24,sK25,sK24)
| ~ midp(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_30769,c_64]) ).
tcf(c_33865,plain,
( para(sK20,sK21,sK21,sK21)
| ~ midp(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_6846,c_7984]) ).
tcf(c_33866,plain,
( para(sK20,sK21,sK21,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6829,c_7984]) ).
tcf(c_33877,plain,
( para(sK20,sK24,sK24,sK24)
| ~ midp(sK24,sK24,sK20) ),
inference(superposition,[status(thm)],[c_6846,c_8189]) ).
tcf(c_33878,plain,
( para(sK20,sK24,sK24,sK24)
| ~ midp(sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6829,c_8189]) ).
tcf(c_37194,plain,
( midp(sK24,sK24,sK20)
| ~ midp(sK20,sK24,sK24) ),
inference(superposition,[status(thm)],[c_8806,c_9429]) ).
tcf(c_37274,plain,
( midp(sK24,sK25,sK21)
| ~ midp(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_25072,c_9431]) ).
tcf(c_37623,plain,
( midp(sK22,sK24,sK20)
| ~ midp(sK20,sK24,sK22) ),
inference(superposition,[status(thm)],[c_22730,c_9433]) ).
tcf(c_37624,plain,
( midp(sK22,sK26,sK20)
| ~ midp(sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_25373,c_9433]) ).
tcf(c_37720,plain,
( midp(sK24,sK26,sK22)
| ~ midp(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_28031,c_9435]) ).
tcf(c_38228,plain,
( midp(sK26,sK22,sK24)
| ~ midp(sK24,sK22,sK26) ),
inference(superposition,[status(thm)],[c_27119,c_11065]) ).
tcf(c_45632,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK25,sK24,sK25,X0,X1,X0,X1)
| ~ eqangle(sK24,sK25,X0,X1,sK24,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_45638,plain,
( eqangle(sK24,sK25,sK24,sK25,sK20,sK20,sK20,sK20)
| ~ eqangle(sK24,sK25,sK20,sK20,sK24,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_45632]) ).
tcf(c_55145,plain,
( midp(sK26,sK24,sK20)
| ~ midp(sK22,sK24,sK20)
| ~ coll(sK26,sK24,sK20) ),
inference(superposition,[status(thm)],[c_6991,c_116]) ).
tcf(c_55164,plain,
( midp(sK26,sK24,sK20)
| ~ midp(sK22,sK24,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55145,c_23900]) ).
tcf(c_55865,plain,
( midp(sK21,sK24,sK25)
| ~ midp(sK20,sK24,sK25)
| ~ coll(sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_6993,c_116]) ).
tcf(c_55884,plain,
( midp(sK21,sK24,sK25)
| ~ midp(sK20,sK24,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55865,c_23911]) ).
tcf(c_56202,plain,
( cyclic(sK20,sK25,sK25,sK24)
| ~ midp(sK24,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_21328,c_8806,c_9826,c_16891,c_21328]) ).
tcf(c_56209,plain,
! [X0: $i] :
( cyclic(sK25,sK25,sK24,X0)
| ~ midp(sK24,sK20,sK25)
| ~ cyclic(sK20,sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_56202,c_65]) ).
tcf(c_56224,plain,
( cyclic(sK25,sK25,sK24,sK20)
| ~ midp(sK24,sK20,sK25)
| ~ cyclic(sK20,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_56209]) ).
tcf(c_56446,plain,
( midp(sK24,sK20,sK25)
| ~ midp(sK21,sK20,sK25)
| ~ coll(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_6995,c_116]) ).
tcf(c_56465,plain,
( midp(sK24,sK20,sK25)
| ~ midp(sK21,sK20,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56446,c_23893]) ).
tcf(c_56879,plain,
( midp(sK22,sK24,sK26)
| ~ midp(sK20,sK24,sK26)
| ~ coll(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_6996,c_116]) ).
tcf(c_56898,plain,
( midp(sK22,sK24,sK26)
| ~ midp(sK20,sK24,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56879,c_27120]) ).
tcf(c_57011,plain,
( midp(sK24,sK22,sK26)
| ~ midp(sK20,sK22,sK26)
| ~ coll(sK24,sK22,sK26) ),
inference(superposition,[status(thm)],[c_6997,c_116]) ).
tcf(c_57028,plain,
( midp(sK24,sK22,sK26)
| ~ midp(sK20,sK22,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57011,c_28029]) ).
tcf(c_63935,plain,
( midp(sK24,sK20,sK26)
| ~ midp(sK22,sK20,sK26)
| ~ coll(sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_6998,c_116]) ).
tcf(c_63954,plain,
( midp(sK24,sK20,sK26)
| ~ midp(sK22,sK20,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63935,c_24526]) ).
tcf(c_64103,plain,
( midp(sK21,sK25,sK24)
| ~ midp(sK20,sK25,sK24)
| ~ coll(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_7003,c_116]) ).
tcf(c_64114,plain,
( cong(sK21,sK20,sK21,sK24)
| ~ midp(sK24,sK20,sK25)
| ~ midp(sK20,sK25,sK24) ),
inference(superposition,[status(thm)],[c_7003,c_8035]) ).
tcf(c_64119,plain,
( midp(sK21,sK25,sK24)
| ~ midp(sK20,sK25,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64103,c_22689]) ).
tcf(c_64550,plain,
( midp(sK24,sK25,sK20)
| ~ midp(sK21,sK25,sK20)
| ~ coll(sK24,sK25,sK20) ),
inference(superposition,[status(thm)],[c_7005,c_116]) ).
tcf(c_64565,plain,
( midp(sK24,sK25,sK20)
| ~ midp(sK21,sK25,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64550,c_23895]) ).
tcf(c_64654,plain,
( midp(sK22,sK26,sK24)
| ~ midp(sK20,sK26,sK24)
| ~ coll(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_7006,c_116]) ).
tcf(c_64665,plain,
( cong(sK22,sK20,sK22,sK24)
| ~ midp(sK24,sK20,sK26)
| ~ midp(sK20,sK26,sK24) ),
inference(superposition,[status(thm)],[c_7006,c_8038]) ).
tcf(c_64670,plain,
( midp(sK22,sK26,sK24)
| ~ midp(sK20,sK26,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64654,c_25737]) ).
tcf(c_64838,plain,
( midp(sK24,sK26,sK20)
| ~ midp(sK22,sK26,sK20)
| ~ coll(sK24,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7008,c_116]) ).
tcf(c_64853,plain,
( midp(sK24,sK26,sK20)
| ~ midp(sK22,sK26,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64838,c_24528]) ).
tcf(c_65207,plain,
( para(sK20,sK24,sK20,sK20)
| ~ midp(sK20,sK24,sK20) ),
inference(superposition,[status(thm)],[c_7220,c_8189]) ).
tcf(c_68287,plain,
( midp(sK22,sK20,sK24)
| ~ midp(sK26,sK24,sK20)
| ~ coll(sK22,sK20,sK24) ),
inference(superposition,[status(thm)],[c_27285,c_116]) ).
tcf(c_68307,plain,
( midp(sK22,sK20,sK24)
| ~ midp(sK26,sK24,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68287,c_22728]) ).
tcf(c_69355,plain,
( cong(sK21,sK20,sK21,sK24)
| ~ midp(sK24,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_64114,c_6968,c_8806,c_9826,c_16891]) ).
tcf(c_69524,plain,
( cong(sK22,sK20,sK22,sK24)
| ~ midp(sK24,sK20,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_64665,c_6971,c_8806,c_11079,c_18999]) ).
tcf(c_69544,plain,
! [X0: $i] :
( cyclic(sK20,sK24,sK26,X0)
| ~ midp(sK24,sK20,sK26)
| ~ cong(sK22,sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_69524,c_12805]) ).
tcf(c_70768,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_7328,c_8039]) ).
tcf(c_70769,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK21,sK24,sK25)
| ~ midp(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_6951,c_8039]) ).
tcf(c_71108,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK21,sK24,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_70769,c_8868,c_22613,c_64119,c_70768]) ).
tcf(c_71115,plain,
! [X0: $i] :
( circle(sK20,sK25,X0,sK25)
| ~ midp(sK21,sK24,sK25)
| ~ cong(sK20,sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_71108,c_60]) ).
tcf(c_72896,plain,
( cong(sK21,sK25,sK21,sK24)
| ~ midp(sK24,sK25,sK20)
| ~ midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_69355,c_8249]) ).
tcf(c_72898,plain,
( cong(sK21,sK25,sK21,sK24)
| ~ midp(sK24,sK25,sK20)
| ~ midp(sK25,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6968,c_8249]) ).
tcf(c_73055,plain,
( cong(sK21,sK25,sK21,sK24)
| ~ midp(sK24,sK25,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_72898,c_27910,c_56465,c_72896]) ).
tcf(c_73063,plain,
( midp(sK21,sK25,sK24)
| ~ midp(sK24,sK25,sK20)
| ~ coll(sK21,sK25,sK24) ),
inference(superposition,[status(thm)],[c_73055,c_116]) ).
tcf(c_73082,plain,
( midp(sK21,sK25,sK24)
| ~ midp(sK24,sK25,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73063,c_22689]) ).
tcf(c_73883,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_8497,c_8496]) ).
tcf(c_75420,plain,
! [X0: $i] :
( cyclic(sK25,sK24,sK25,X0)
| ~ midp(sK21,sK24,sK25)
| ~ cyclic(sK25,sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_31539,c_65]) ).
tcf(c_75429,plain,
( cyclic(sK25,sK24,sK25,sK20)
| ~ midp(sK21,sK24,sK25)
| ~ cyclic(sK25,sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_75420]) ).
tcf(c_75608,plain,
( cong(sK22,sK26,sK22,sK24)
| ~ midp(sK24,sK26,sK20)
| ~ midp(sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_69524,c_8559]) ).
tcf(c_75610,plain,
( cong(sK22,sK26,sK22,sK24)
| ~ midp(sK26,sK20,sK24)
| ~ midp(sK24,sK26,sK20) ),
inference(superposition,[status(thm)],[c_6971,c_8559]) ).
tcf(c_76171,plain,
( cong(sK22,sK26,sK22,sK24)
| ~ midp(sK26,sK20,sK24) ),
inference(global_subsumption_just,[status(thm)],[c_75610,c_9276,c_11938,c_12236,c_15310,c_25373,c_64853,c_75608]) ).
tcf(c_76179,plain,
( midp(sK22,sK26,sK24)
| ~ midp(sK26,sK20,sK24)
| ~ coll(sK22,sK26,sK24) ),
inference(superposition,[status(thm)],[c_76171,c_116]) ).
tcf(c_76196,plain,
( midp(sK22,sK26,sK24)
| ~ midp(sK26,sK20,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76179,c_25737]) ).
tcf(c_77866,plain,
! [X0: $i] :
( cyclic(sK24,sK25,sK24,X0)
| ~ midp(sK21,sK24,sK25)
| ~ cyclic(sK25,sK24,sK25,X0) ),
inference(superposition,[status(thm)],[c_32122,c_65]) ).
tcf(c_77877,plain,
( cyclic(sK24,sK25,sK24,sK20)
| ~ midp(sK21,sK24,sK25)
| ~ cyclic(sK25,sK24,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_77866]) ).
tcf(c_78659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK24,sK25,sK24,sK25)
| ~ eqangle(sK24,sK25,sK24,sK25,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_78660,plain,
( eqangle(sK20,sK20,sK20,sK20,sK24,sK25,sK24,sK25)
| ~ eqangle(sK24,sK25,sK24,sK25,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78659]) ).
tcf(c_79064,plain,
( cong(sK20,sK22,sK20,sK26)
| ~ midp(sK22,sK24,sK26)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6954,c_8830]) ).
tcf(c_79458,plain,
( cong(sK20,sK22,sK20,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_79064,c_8536,c_9005,c_22614,c_37720,c_64670]) ).
tcf(c_79472,plain,
( cong(sK20,sK26,sK20,sK22)
| ~ midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_79458,c_72]) ).
tcf(c_79481,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK22,sK24,sK26)
| ~ midp(sK24,sK26,sK22) ),
inference(superposition,[status(thm)],[c_79458,c_8535]) ).
tcf(c_79650,plain,
( midp(sK20,sK26,sK22)
| ~ midp(sK22,sK24,sK26)
| ~ coll(sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_79472,c_116]) ).
tcf(c_79667,plain,
( midp(sK20,sK26,sK22)
| ~ midp(sK22,sK24,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79650,c_22710]) ).
tcf(c_80576,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_79481,c_9005,c_22614,c_64670,c_73883]) ).
tcf(c_80584,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK22,sK24,sK26)
| ~ coll(sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_80576,c_116]) ).
tcf(c_80602,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80584,c_12045]) ).
tcf(c_80653,plain,
midp(sK20,sK26,sK26),
inference(global_subsumption_just,[status(thm)],[c_80602,c_176,c_9408,c_9774,c_10866,c_10882,c_12052,c_17466,c_28878,c_29902,c_45638,c_78660]) ).
tcf(c_80662,plain,
midp(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_80653,c_18949]) ).
tcf(c_80672,plain,
midp(sK24,sK24,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_37194,c_80662]) ).
tcf(c_83561,plain,
para(sK20,sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_33865,c_176,c_8152,c_9408,c_9499,c_9774,c_10866,c_10882,c_17466,c_28878,c_29902,c_33866,c_45638,c_78660]) ).
tcf(c_83567,plain,
para(sK21,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_83561,c_53]) ).
tcf(c_83586,plain,
para(sK21,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_83567,c_52]) ).
tcf(c_83603,plain,
para(sK21,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_83586,c_53]) ).
tcf(c_84137,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_83603,c_113]) ).
tcf(c_84152,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84137,c_83586]) ).
tcf(c_84175,plain,
( cyclic(sK25,sK20,sK24,sK26)
| ~ cyclic(sK25,sK24,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_87416,plain,
para(sK20,sK24,sK24,sK24),
inference(global_subsumption_just,[status(thm)],[c_33877,c_176,c_8402,c_9408,c_9497,c_9774,c_10866,c_10882,c_17466,c_28878,c_29902,c_33878,c_45638,c_78660]) ).
tcf(c_87422,plain,
para(sK24,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_87416,c_53]) ).
tcf(c_87673,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK24,sK20)
| ~ para(sK24,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_87422,c_113]) ).
tcf(c_87676,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK24,X0,X1)
| ~ para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_87422,c_54]) ).
tcf(c_87678,plain,
para(sK24,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_87422,c_52]) ).
tcf(c_87686,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK24,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87673,c_87422]) ).
tcf(c_87689,plain,
( para(sK24,sK24,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87676]) ).
tcf(c_87691,plain,
! [X0: $i] :
( midp(X0,sK24,sK20)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK20,sK24,sK24) ),
inference(superposition,[status(thm)],[c_87678,c_113]) ).
tcf(c_87695,plain,
para(sK24,sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_87678,c_53]) ).
tcf(c_87705,plain,
! [X0: $i] :
( midp(X0,sK24,sK20)
| ~ midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87691,c_87695]) ).
tcf(c_87708,plain,
( midp(sK20,sK24,sK20)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_87705]) ).
tcf(c_87785,plain,
midp(sK24,sK24,sK24),
inference(superposition,[status(thm)],[c_80672,c_87686]) ).
tcf(c_87810,plain,
midp(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_87785,c_13025]) ).
tcf(c_87838,plain,
midp(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_87810,c_84152]) ).
tcf(c_87848,plain,
midp(sK25,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_25558,c_87838]) ).
tcf(c_89614,plain,
! [X0: $i] :
( cyclic(sK24,sK24,sK25,X0)
| ~ cong(sK20,sK24,sK20,X0) ),
inference(global_subsumption_just,[status(thm)],[c_30770,c_176,c_8938,c_9408,c_9496,c_9774,c_10866,c_10882,c_10914,c_11333,c_11352,c_11646,c_11957,c_14799,c_17466,c_20386,c_21284,c_27600,c_28878,c_29902,c_45638,c_55884,c_56465,c_64565,c_65207,c_73082,c_78660,c_87689,c_87708,c_87848]) ).
tcf(c_89631,plain,
( cyclic(sK24,sK24,sK25,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_6954,c_89614]) ).
tcf(c_89820,plain,
( cyclic(sK24,sK25,sK24,sK26)
| ~ midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_89631,c_63]) ).
tcf(c_89839,plain,
! [X0: $i] :
( cyclic(sK25,sK24,sK26,X0)
| ~ midp(sK22,sK24,sK26)
| ~ cyclic(sK24,sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_89820,c_65]) ).
tcf(c_89850,plain,
( cyclic(sK25,sK24,sK26,sK20)
| ~ midp(sK22,sK24,sK26)
| ~ cyclic(sK24,sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_89839]) ).
tcf(c_94418,plain,
( cyclic(sK25,sK24,sK20,sK26)
| ~ cyclic(sK25,sK24,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_94815,plain,
~ midp(sK24,sK20,sK26),
inference(global_subsumption_just,[status(thm)],[c_69544,c_162,c_8806,c_8938,c_10914,c_11079,c_11646,c_14799,c_18401,c_18999,c_21284,c_27600,c_28157,c_31016,c_55884,c_56224,c_56465,c_56898,c_64565,c_73082,c_75429,c_76196,c_77877,c_84175,c_87848,c_89850,c_94418]) ).
tcf(c_94817,plain,
~ midp(sK22,sK20,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_63954,c_94815]) ).
tcf(c_94818,plain,
~ midp(sK24,sK26,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_28475,c_94817]) ).
tcf(c_94819,plain,
~ midp(sK22,sK26,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_64853,c_94818]) ).
tcf(c_94821,plain,
~ midp(sK20,sK26,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_37624,c_94819]) ).
tcf(c_94822,plain,
~ midp(sK22,sK24,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_79667,c_94821]) ).
tcf(c_94825,plain,
~ midp(sK20,sK24,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_56898,c_94822]) ).
tcf(c_94826,plain,
~ midp(sK22,sK26,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_28157,c_94825]) ).
tcf(c_94827,plain,
~ midp(sK26,sK20,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_76196,c_94826]) ).
tcf(c_94829,plain,
~ midp(sK22,sK20,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_26359,c_94827]) ).
tcf(c_94830,plain,
~ midp(sK26,sK24,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_68307,c_94829]) ).
tcf(c_94831,plain,
~ midp(sK22,sK24,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_55164,c_94830]) ).
tcf(c_94832,plain,
~ midp(sK20,sK24,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_37623,c_94831]) ).
tcf(c_94833,plain,
~ midp(sK26,sK22,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_29771,c_94832]) ).
tcf(c_94835,plain,
~ midp(sK24,sK22,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_38228,c_94833]) ).
tcf(c_94836,plain,
~ midp(sK20,sK22,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_57028,c_94835]) ).
tcf(c_94837,plain,
~ midp(sK24,sK26,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_28316,c_94836]) ).
tcf(c_94978,plain,
! [X0: $i] :
( circle(sK20,sK25,X0,sK25)
| ~ cong(sK20,sK25,sK20,X0) ),
inference(global_subsumption_just,[status(thm)],[c_71115,c_8938,c_10914,c_11646,c_14799,c_21284,c_27600,c_55884,c_56465,c_64565,c_71115,c_73082,c_87848]) ).
tcf(c_94995,plain,
( circle(sK20,sK25,sK21,sK25)
| ~ midp(sK24,sK21,sK25) ),
inference(superposition,[status(thm)],[c_7246,c_94978]) ).
tcf(c_94996,plain,
( circle(sK20,sK25,sK21,sK25)
| ~ midp(sK24,sK25,sK21) ),
inference(superposition,[status(thm)],[c_6960,c_94978]) ).
tcf(c_95092,plain,
circle(sK20,sK25,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_94995,c_8938,c_10914,c_11646,c_14799,c_21284,c_37274,c_56465,c_64565,c_73082,c_87848,c_94996]) ).
tcf(c_95095,plain,
( perp(sK25,sK21,sK21,sK25)
| ~ coll(sK20,sK25,sK25) ),
inference(superposition,[status(thm)],[c_95092,c_102]) ).
tcf(c_95096,plain,
perp(sK25,sK21,sK21,sK25),
inference(forward_subsumption_resolution,[status(thm)],[c_95095,c_10969]) ).
tcf(c_95109,plain,
perp(sK26,sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_95096,c_18249]) ).
tcf(c_97873,plain,
perp(sK21,sK25,sK26,sK22),
inference(superposition,[status(thm)],[c_95109,c_56]) ).
tcf(c_104554,plain,
para(sK20,sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_97873,c_7401]) ).
tcf(c_104948,plain,
! [X0: $i] :
( midp(sK24,X0,sK22)
| ~ midp(sK20,X0,sK26)
| ~ coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_104554,c_94]) ).
tcf(c_105704,plain,
( midp(sK24,sK26,sK22)
| ~ midp(sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_28031,c_104948]) ).
tcf(c_105705,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_105704,c_94837,c_80653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO585+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 12:28:43 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 21.28/4.77 % SZS status Started for theBenchmark.p
% 21.28/4.77 % SZS status Theorem for theBenchmark.p
% 21.28/4.77
% 21.28/4.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.28/4.77
% 21.28/4.77 % ------ iProver source info
% 21.28/4.77
% 21.28/4.77 % git: date: 2026-07-19 20:42:38 +0200
% 21.28/4.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.28/4.77 % git: non_committed_changes: false
% 21.28/4.77
% 21.28/4.77 % ------ Parsing...
% 21.28/4.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.28/4.77
% 21.28/4.77 % ------ 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 %
% 21.28/4.77
% 21.28/4.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.28/4.77
% 21.28/4.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.28/4.77 % ------ Proving...
% 21.28/4.77 % ------ Problem Properties
% 21.28/4.77
% 21.28/4.77 %
% 21.28/4.77 % clauses 121
% 21.28/4.77 % conjectures 9
% 21.28/4.77 % EPR 84
% 21.28/4.77 % Horn 111
% 21.28/4.77 % unary 9
% 21.28/4.77 % binary 37
% 21.28/4.77 % lits 337
% 21.28/4.77 % lits eq 4
% 21.28/4.77 % fd_pure 0
% 21.28/4.77 % fd_pseudo 0
% 21.28/4.77 % fd_cond 0
% 21.28/4.77 % fd_pseudo_cond 4
% 21.28/4.77 % AC symbols 0
% 21.28/4.77
% 21.28/4.77 % ------ Schedule dynamic 5 is on
% 21.28/4.77
% 21.28/4.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.28/4.77
% 21.28/4.77
% 21.28/4.77 % ------
% 21.28/4.77 % Current options:
% 21.28/4.77 % ------
% 21.28/4.77
% 21.28/4.77
% 21.28/4.77 %
% 21.28/4.77
% 21.28/4.77 % ------ Proving...
% 21.28/4.77 %
% 21.28/4.77
% 21.28/4.77 % SZS status Theorem for theBenchmark.p
% 21.28/4.77
% 21.28/4.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.28/4.78
% 21.28/4.78
%------------------------------------------------------------------------------