%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:26 PM UTC 2026
% Result : Theorem 105.72s 17.37s
% Output : CNFRefutation 105.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of formulae : 625 ( 123 unt; 0 def)
% Number of atoms : 1579 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 1714 ( 760 ~; 754 |; 159 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 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 : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 1435 ( 0 sgn1395 !; 40 ?; 653 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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(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(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> perp(X7,X4,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> perp(X7,X4,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(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(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f168]) ).
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(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(flattening,[],[f195]) ).
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(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3)
& ~ perp(X7,X4,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3)
& ~ perp(X7,X4,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( perp(sK23,sK22,sK39,sK27)
& midp(sK39,sK23,sK22)
& perp(sK21,sK22,sK38,sK27)
& midp(sK38,sK21,sK22)
& perp(sK21,sK23,sK37,sK27)
& midp(sK37,sK21,sK23)
& perp(sK23,sK22,sK36,sK26)
& midp(sK36,sK23,sK22)
& perp(sK20,sK22,sK35,sK26)
& midp(sK35,sK20,sK22)
& perp(sK20,sK23,sK34,sK26)
& midp(sK34,sK20,sK23)
& perp(sK21,sK23,sK33,sK25)
& midp(sK33,sK21,sK23)
& perp(sK20,sK23,sK32,sK25)
& midp(sK32,sK20,sK23)
& perp(sK20,sK21,sK31,sK25)
& midp(sK31,sK20,sK21)
& perp(sK21,sK22,sK30,sK24)
& midp(sK30,sK21,sK22)
& perp(sK20,sK22,sK29,sK24)
& midp(sK29,sK20,sK22)
& perp(sK20,sK21,sK28,sK24)
& midp(sK28,sK20,sK21)
& perp(sK21,sK22,sK20,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK20,sK21,sK22,sK23)
& ~ perp(sK27,sK24,sK26,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39]),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),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(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(f321,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f169]) ).
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(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
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(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
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(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f384,plain,
perp(sK23,sK22,sK39,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
midp(sK39,sK23,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK21,sK23,sK37,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK23,sK22,sK36,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
midp(sK36,sK23,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
perp(sK21,sK23,sK33,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
perp(sK20,sK23,sK32,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f399,plain,
midp(sK32,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f401,plain,
midp(sK31,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f405,plain,
midp(sK29,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f407,plain,
midp(sK28,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f408,plain,
perp(sK21,sK22,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f409,plain,
perp(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f410,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f411,plain,
~ perp(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_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_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_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
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_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
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_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
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_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_162,negated_conjecture,
~ perp(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f411]) ).
tcf(c_163,negated_conjecture,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f410]) ).
tcf(c_164,negated_conjecture,
perp(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f409]) ).
tcf(c_165,negated_conjecture,
perp(sK21,sK22,sK20,sK23),
inference(cnf_transformation,[],[f408]) ).
tcf(c_166,negated_conjecture,
midp(sK28,sK20,sK21),
inference(cnf_transformation,[],[f407]) ).
tcf(c_168,negated_conjecture,
midp(sK29,sK20,sK22),
inference(cnf_transformation,[],[f405]) ).
tcf(c_172,negated_conjecture,
midp(sK31,sK20,sK21),
inference(cnf_transformation,[],[f401]) ).
tcf(c_174,negated_conjecture,
midp(sK32,sK20,sK23),
inference(cnf_transformation,[],[f399]) ).
tcf(c_175,negated_conjecture,
perp(sK20,sK23,sK32,sK25),
inference(cnf_transformation,[],[f398]) ).
tcf(c_177,negated_conjecture,
perp(sK21,sK23,sK33,sK25),
inference(cnf_transformation,[],[f396]) ).
tcf(c_182,negated_conjecture,
midp(sK36,sK23,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_183,negated_conjecture,
perp(sK23,sK22,sK36,sK26),
inference(cnf_transformation,[],[f390]) ).
tcf(c_185,negated_conjecture,
perp(sK21,sK23,sK37,sK27),
inference(cnf_transformation,[],[f388]) ).
tcf(c_188,negated_conjecture,
midp(sK39,sK23,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_189,negated_conjecture,
perp(sK23,sK22,sK39,sK27),
inference(cnf_transformation,[],[f384]) ).
tcf(c_192,plain,
( coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_195,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_199,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_204,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_220,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_253,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4383,negated_conjecture,
perp(sK23,sK22,sK39,sK27),
inference(demodulation,[status(thm)],[c_189]) ).
tcf(c_4387,negated_conjecture,
perp(sK21,sK23,sK37,sK27),
inference(demodulation,[status(thm)],[c_185]) ).
tcf(c_4389,negated_conjecture,
perp(sK23,sK22,sK36,sK26),
inference(demodulation,[status(thm)],[c_183]) ).
tcf(c_4390,negated_conjecture,
midp(sK36,sK23,sK22),
inference(demodulation,[status(thm)],[c_182]) ).
tcf(c_4395,negated_conjecture,
perp(sK21,sK23,sK33,sK25),
inference(demodulation,[status(thm)],[c_177]) ).
tcf(c_4397,negated_conjecture,
perp(sK20,sK23,sK32,sK25),
inference(demodulation,[status(thm)],[c_175]) ).
tcf(c_4398,negated_conjecture,
midp(sK32,sK20,sK23),
inference(demodulation,[status(thm)],[c_174]) ).
tcf(c_4400,negated_conjecture,
midp(sK31,sK20,sK21),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_4404,negated_conjecture,
midp(sK29,sK20,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4406,negated_conjecture,
midp(sK28,sK20,sK21),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4407,negated_conjecture,
perp(sK21,sK22,sK20,sK23),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4408,negated_conjecture,
perp(sK20,sK22,sK21,sK23),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4409,negated_conjecture,
perp(sK20,sK21,sK22,sK23),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_6001,plain,
coll(sK28,sK20,sK21),
inference(superposition,[status(thm)],[c_4406,c_118]) ).
tcf(c_6002,plain,
coll(sK29,sK20,sK22),
inference(superposition,[status(thm)],[c_4404,c_118]) ).
tcf(c_6034,plain,
coll(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_6001,c_49]) ).
tcf(c_6035,plain,
coll(sK29,sK22,sK20),
inference(superposition,[status(thm)],[c_6002,c_49]) ).
tcf(c_6050,plain,
coll(sK20,sK28,sK21),
inference(superposition,[status(thm)],[c_6001,c_50]) ).
tcf(c_6051,plain,
coll(sK20,sK29,sK22),
inference(superposition,[status(thm)],[c_6002,c_50]) ).
tcf(c_6067,plain,
midp(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_4406,c_59]) ).
tcf(c_6068,plain,
midp(sK29,sK22,sK20),
inference(superposition,[status(thm)],[c_4404,c_59]) ).
tcf(c_6071,plain,
midp(sK32,sK23,sK20),
inference(superposition,[status(thm)],[c_4398,c_59]) ).
tcf(c_6088,plain,
coll(sK21,sK28,sK20),
inference(superposition,[status(thm)],[c_6034,c_50]) ).
tcf(c_6090,plain,
coll(sK22,sK29,sK20),
inference(superposition,[status(thm)],[c_6035,c_50]) ).
tcf(c_6131,plain,
perp(sK20,sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_4408,c_55]) ).
tcf(c_6137,plain,
perp(sK20,sK23,sK25,sK32),
inference(superposition,[status(thm)],[c_4397,c_55]) ).
tcf(c_6141,plain,
perp(sK23,sK22,sK26,sK36),
inference(superposition,[status(thm)],[c_4389,c_55]) ).
tcf(c_6144,plain,
perp(sK23,sK22,sK27,sK39),
inference(superposition,[status(thm)],[c_4383,c_55]) ).
tcf(c_6169,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_4409,c_56]) ).
tcf(c_6170,plain,
perp(sK21,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_4408,c_56]) ).
tcf(c_6176,plain,
perp(sK32,sK25,sK20,sK23),
inference(superposition,[status(thm)],[c_4397,c_56]) ).
tcf(c_6180,plain,
perp(sK36,sK26,sK23,sK22),
inference(superposition,[status(thm)],[c_4389,c_56]) ).
tcf(c_6181,plain,
perp(sK37,sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_4387,c_56]) ).
tcf(c_6183,plain,
perp(sK39,sK27,sK23,sK22),
inference(superposition,[status(thm)],[c_4383,c_56]) ).
tcf(c_6185,plain,
perp(sK23,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_6131,c_56]) ).
tcf(c_6212,plain,
perp(sK25,sK32,sK20,sK23),
inference(superposition,[status(thm)],[c_6137,c_56]) ).
tcf(c_6220,plain,
perp(sK26,sK36,sK23,sK22),
inference(superposition,[status(thm)],[c_6141,c_56]) ).
tcf(c_6362,plain,
coll(sK20,sK21,sK28),
inference(superposition,[status(thm)],[c_6050,c_49]) ).
tcf(c_6368,plain,
coll(sK20,sK22,sK29),
inference(superposition,[status(thm)],[c_6051,c_49]) ).
tcf(c_6397,plain,
perp(sK22,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_6169,c_55]) ).
tcf(c_6399,plain,
perp(sK21,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_6170,c_55]) ).
tcf(c_6411,plain,
perp(sK32,sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_6176,c_55]) ).
tcf(c_6454,plain,
( cong(sK28,sK20,sK28,sK21)
| ~ midp(sK28,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6455,plain,
( cong(sK29,sK20,sK29,sK22)
| ~ midp(sK29,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6465,plain,
( cong(sK39,sK23,sK39,sK22)
| ~ midp(sK39,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6521,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK28,X0) ),
inference(superposition,[status(thm)],[c_6088,c_51]) ).
tcf(c_6526,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_6521]) ).
tcf(c_6542,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK29,X0) ),
inference(superposition,[status(thm)],[c_6090,c_51]) ).
tcf(c_6547,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_6542]) ).
tcf(c_6549,plain,
perp(sK23,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_6185,c_55]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( para(sK28,X0,sK21,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_4406,c_93]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( para(sK29,X0,sK22,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_4404,c_93]) ).
tcf(c_6584,plain,
! [X0: $i,X1: $i] :
( para(sK31,X0,sK21,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_4400,c_93]) ).
tcf(c_6585,plain,
! [X0: $i,X1: $i] :
( para(sK32,X0,sK23,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_4398,c_93]) ).
tcf(c_6714,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_4406,c_112]) ).
tcf(c_6715,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK22,X1)
| ~ midp(sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_4404,c_112]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK23,X1)
| ~ midp(sK32,X0,X1) ),
inference(superposition,[status(thm)],[c_4398,c_112]) ).
tcf(c_6726,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_6067,c_112]) ).
tcf(c_6727,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK20,X1)
| ~ midp(sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_6068,c_112]) ).
tcf(c_6802,plain,
( para(sK22,sK20,sK20,sK20)
| ~ midp(sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6727]) ).
tcf(c_6829,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK28,sK20,sK21)
| ~ midp(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6870,plain,
! [X0: $i,X1: $i] :
( para(sK28,X0,X1,sK21)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6581,c_52]) ).
tcf(c_6882,plain,
! [X0: $i,X1: $i] :
( para(sK29,X0,X1,sK22)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6582,c_52]) ).
tcf(c_6917,plain,
! [X0: $i,X1: $i] :
( para(sK23,X1,sK32,X0)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6585,c_53]) ).
tcf(c_7067,plain,
( cong(sK39,sK23,sK39,sK22)
| ~ midp(sK27,sK23,sK22) ),
inference(superposition,[status(thm)],[c_6183,c_104]) ).
tcf(c_7075,plain,
( cong(sK25,sK20,sK25,sK23)
| ~ midp(sK32,sK20,sK23) ),
inference(superposition,[status(thm)],[c_6212,c_104]) ).
tcf(c_7082,plain,
cong(sK25,sK20,sK25,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_7075,c_4398]) ).
tcf(c_7330,plain,
cong(sK25,sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_7082,c_71]) ).
tcf(c_7377,plain,
( cong(sK26,sK23,sK26,sK22)
| ~ midp(sK36,sK23,sK22) ),
inference(superposition,[status(thm)],[c_6220,c_104]) ).
tcf(c_7380,plain,
cong(sK26,sK23,sK26,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_7377,c_4390]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4409,c_57]) ).
tcf(c_7435,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4408,c_57]) ).
tcf(c_7436,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4407,c_57]) ).
tcf(c_7445,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK22,X0,X1)
| ~ perp(sK36,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_4389,c_57]) ).
tcf(c_7478,plain,
! [X0: $i,X1: $i] :
( para(sK39,sK27,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6183,c_57]) ).
tcf(c_7729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK31,X3,X1,X2)
| ~ midp(X3,sK20,X0)
| ~ perp(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6584,c_58]) ).
tcf(c_7730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK32,X3,X1,X2)
| ~ midp(X3,sK20,X0)
| ~ perp(sK23,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6585,c_58]) ).
tcf(c_7762,plain,
( perp(sK31,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7729]) ).
tcf(c_7854,plain,
! [X0: $i] :
( coll(sK28,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6362,c_51]) ).
tcf(c_7859,plain,
( coll(sK28,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_7854]) ).
tcf(c_7860,plain,
! [X0: $i] :
( coll(sK29,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6368,c_51]) ).
tcf(c_7865,plain,
( coll(sK29,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7860]) ).
tcf(c_7868,plain,
cong(sK26,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_7380,c_72]) ).
tcf(c_7985,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,X1,sK21)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_6714,c_52]) ).
tcf(c_7996,plain,
( para(sK20,sK20,sK20,sK21)
| ~ midp(sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7985]) ).
tcf(c_8003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,X3,X1,X2)
| ~ midp(sK29,X3,X0)
| ~ perp(sK22,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6715,c_58]) ).
tcf(c_8006,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,X1,sK22)
| ~ midp(sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_6715,c_52]) ).
tcf(c_8017,plain,
( para(sK20,sK20,sK20,sK22)
| ~ midp(sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8006]) ).
tcf(c_8260,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,X1,sK23)
| ~ midp(sK32,X0,X1) ),
inference(superposition,[status(thm)],[c_6718,c_52]) ).
tcf(c_8271,plain,
( para(sK20,sK20,sK20,sK23)
| ~ midp(sK32,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8260]) ).
tcf(c_9310,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6397,c_7434]) ).
tcf(c_9315,plain,
para(sK20,sK22,sK33,sK25),
inference(superposition,[status(thm)],[c_4395,c_7435]) ).
tcf(c_9319,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6170,c_7435]) ).
tcf(c_9322,plain,
para(sK33,sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_9315,c_53]) ).
tcf(c_9368,plain,
para(sK21,sK22,sK32,sK25),
inference(superposition,[status(thm)],[c_4397,c_7436]) ).
tcf(c_9375,plain,
perp(sK22,sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_6399,c_56]) ).
tcf(c_9377,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6399,c_7435]) ).
tcf(c_9656,plain,
( cong(sK28,sK21,sK28,sK20)
| ~ midp(sK28,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_9744,plain,
para(sK32,sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_9368,c_53]) ).
tcf(c_9782,plain,
( cong(sK29,sK22,sK29,sK20)
| ~ midp(sK29,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_10143,plain,
para(sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_6180,c_7445]) ).
tcf(c_10276,plain,
! [X0: $i,X1: $i] :
( midp(sK32,X0,X1)
| ~ midp(sK32,sK23,sK20)
| ~ para(sK23,X1,sK20,X0)
| ~ para(sK23,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_10277,plain,
( midp(sK32,sK20,sK20)
| ~ midp(sK32,sK23,sK20)
| ~ para(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10276]) ).
tcf(c_10810,plain,
cong(sK23,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7330,c_72]) ).
tcf(c_11281,plain,
cong(sK26,sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_7868,c_71]) ).
tcf(c_11677,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_9310,c_53]) ).
tcf(c_11749,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_9319,c_115]) ).
tcf(c_11793,plain,
para(sK33,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_9322,c_52]) ).
tcf(c_12212,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_11749,c_50]) ).
tcf(c_12252,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_12212,c_49]) ).
tcf(c_13302,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_12252,c_51]) ).
tcf(c_13432,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_9377,c_53]) ).
tcf(c_13453,plain,
! [X0: $i,X1: $i] :
( cong(sK28,sK20,X0,X1)
| ~ cong(sK28,sK20,sK28,sK21)
| ~ cong(sK28,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_13470,plain,
! [X0: $i,X1: $i] :
( para(sK32,sK25,X0,X1)
| ~ para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_9744,c_54]) ).
tcf(c_13483,plain,
( para(sK32,sK25,sK20,sK20)
| ~ para(sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13470]) ).
tcf(c_13526,plain,
! [X0: $i,X1: $i] :
( cong(sK29,sK20,X0,X1)
| ~ cong(sK29,sK20,sK29,sK22)
| ~ cong(sK29,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_13581,plain,
coll(sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_10143,c_115]) ).
tcf(c_13787,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_13581,c_50]) ).
tcf(c_13938,plain,
! [X0: $i] :
( perp(sK31,X0,sK20,sK23)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4407,c_7729]) ).
tcf(c_14231,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_13787,c_49]) ).
tcf(c_14240,plain,
! [X0: $i] :
( perp(sK20,sK23,sK31,X0)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_13938,c_56]) ).
tcf(c_14633,plain,
! [X0: $i] :
( perp(sK32,X0,sK22,sK20)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6549,c_7730]) ).
tcf(c_18880,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK23)
| ~ perp(X0,sK23,sK20,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_18881,plain,
( perp(sK20,sK20,sK20,sK23)
| ~ perp(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18880]) ).
tcf(c_18930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK21,X3,X1,X2)
| ~ midp(sK28,X3,X0)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6726,c_58]) ).
tcf(c_18952,plain,
( perp(sK21,sK20,sK20,sK20)
| ~ midp(sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18930]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,X3,X1,X2)
| ~ midp(sK29,X3,X0)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6727,c_58]) ).
tcf(c_18991,plain,
( perp(sK22,sK20,sK20,sK20)
| ~ midp(sK29,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18969]) ).
tcf(c_19502,plain,
! [X0: $i,X1: $i] :
( midp(sK28,X0,X1)
| ~ coll(sK28,X0,X1)
| ~ cong(sK28,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_19503,plain,
( midp(sK28,sK20,sK20)
| ~ coll(sK28,sK20,sK20)
| ~ cong(sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_19502]) ).
tcf(c_19505,plain,
( para(sK20,sK20,sK21,sK21)
| ~ midp(sK28,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6829]) ).
tcf(c_19607,plain,
! [X0: $i,X1: $i] :
( midp(sK29,X0,X1)
| ~ coll(sK29,X0,X1)
| ~ cong(sK29,X0,sK29,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_19608,plain,
( midp(sK29,sK20,sK20)
| ~ coll(sK29,sK20,sK20)
| ~ cong(sK29,sK20,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_19607]) ).
tcf(c_19727,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK21)
| ~ midp(sK28,X1,X2)
| ~ midp(X0,sK20,X2)
| ~ coll(X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6870,c_94]) ).
tcf(c_19754,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK28,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_19727]) ).
tcf(c_20082,plain,
cong(sK23,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_10810,c_71]) ).
tcf(c_20293,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_20455,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK22)
| ~ midp(sK29,X1,X2)
| ~ midp(X0,sK20,X2)
| ~ coll(X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_6882,c_94]) ).
tcf(c_20482,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK29,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20455]) ).
tcf(c_20544,plain,
! [X0: $i] :
( perp(sK20,X0,sK21,sK23)
| ~ midp(sK29,X0,sK20) ),
inference(superposition,[status(thm)],[c_9375,c_8003]) ).
tcf(c_20597,plain,
( perp(sK20,sK20,sK21,sK23)
| ~ midp(sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20544]) ).
tcf(c_21041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,X1,X2)
| ~ midp(X0,sK20,X3)
| ~ para(sK32,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6917,c_54]) ).
tcf(c_21061,plain,
( para(sK23,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK32,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21041]) ).
tcf(c_21481,plain,
cong(sK23,sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_11281,c_72]) ).
tcf(c_22413,plain,
( para(sK21,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_23363,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_11677,c_52]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i] :
( perp(sK33,sK25,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_11793,c_58]) ).
tcf(c_23469,plain,
( perp(sK33,sK25,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23454]) ).
tcf(c_24546,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_13432,c_52]) ).
tcf(c_26673,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ para(sK20,sK20,sK21,sK21)
| ~ para(sK21,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_26674,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK21,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_26673]) ).
tcf(c_26854,plain,
! [X0: $i] :
( perp(sK23,sK20,sK25,X0)
| ~ cong(sK23,X0,sK20,X0) ),
inference(superposition,[status(thm)],[c_20082,c_105]) ).
tcf(c_26859,plain,
( perp(sK23,sK20,sK25,sK20)
| ~ cong(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_26854]) ).
tcf(c_27104,plain,
cong(sK39,sK23,sK39,sK22),
inference(global_subsumption_just,[status(thm)],[c_7067,c_188,c_6465]) ).
tcf(c_27114,plain,
cong(sK39,sK22,sK39,sK23),
inference(superposition,[status(thm)],[c_27104,c_72]) ).
tcf(c_27695,plain,
cong(sK23,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_21481,c_71]) ).
tcf(c_28007,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,sK20,X0)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_7985,c_53]) ).
tcf(c_28029,plain,
( para(sK20,sK21,sK20,sK20)
| ~ midp(sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28007]) ).
tcf(c_28067,plain,
! [X0: $i,X1: $i] :
( para(X1,sK22,sK20,X0)
| ~ midp(sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_8006,c_53]) ).
tcf(c_28089,plain,
( para(sK20,sK22,sK20,sK20)
| ~ midp(sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28067]) ).
tcf(c_28262,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_23363,c_115]) ).
tcf(c_28272,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_28262,c_50]) ).
tcf(c_29160,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_24546,c_115]) ).
tcf(c_29170,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_29160,c_50]) ).
tcf(c_33863,plain,
cong(sK39,sK22,sK23,sK39),
inference(superposition,[status(thm)],[c_27114,c_71]) ).
tcf(c_35208,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,sK23,X1,X2)
| ~ midp(X0,sK20,sK22)
| ~ perp(sK31,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_14240,c_57]) ).
tcf(c_35226,plain,
( para(sK20,sK23,sK20,sK20)
| ~ midp(sK20,sK20,sK22)
| ~ perp(sK31,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35208]) ).
tcf(c_35698,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK21,sK22,X1,X2)
| ~ midp(X0,sK22,X2)
| ~ midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_35699,plain,
( para(sK21,sK22,sK20,sK20)
| ~ midp(sK20,sK22,sK20)
| ~ midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_35698]) ).
tcf(c_37606,plain,
cong(sK23,sK39,sK39,sK22),
inference(superposition,[status(thm)],[c_33863,c_72]) ).
tcf(c_37998,plain,
! [X0: $i,X1: $i] :
( perp(sK27,sK24,sK26,sK25)
| ~ perp(X0,X1,sK26,sK25)
| ~ para(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_37999,plain,
( perp(sK27,sK24,sK26,sK25)
| ~ perp(sK20,sK20,sK26,sK25)
| ~ para(sK27,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37998]) ).
tcf(c_38037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,sK23,X2,X3)
| ~ para(sK20,sK23,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_38038,plain,
( perp(sK20,sK23,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38037]) ).
tcf(c_39344,plain,
cong(sK23,sK39,sK22,sK39),
inference(superposition,[status(thm)],[c_37606,c_71]) ).
tcf(c_44213,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK22,X0,X0,sK23)
| ~ perp(X1,X2,X0,sK23)
| ~ para(sK22,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_44214,plain,
( perp(sK22,sK20,sK20,sK23)
| ~ perp(sK20,sK20,sK20,sK23)
| ~ para(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44213]) ).
tcf(c_50430,plain,
! [X0: $i,X1: $i] :
( midp(sK20,sK22,sK23)
| ~ coll(sK20,sK22,sK23)
| ~ midp(X0,sK22,X1)
| ~ para(X0,sK20,X1,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_50431,plain,
( midp(sK20,sK22,sK23)
| ~ midp(sK20,sK22,sK20)
| ~ coll(sK20,sK22,sK23)
| ~ para(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_50430]) ).
tcf(c_61937,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK32,X2,X0,X1)
| ~ midp(X2,sK20,sK21)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_14633,c_57]) ).
tcf(c_61976,plain,
( para(sK32,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK21)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61937]) ).
tcf(c_67320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK21,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK21,X2,X1)
| ~ para(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_67321,plain,
( midp(sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_67320]) ).
tcf(c_75234,plain,
para(sK39,sK27,sK27,sK39),
inference(superposition,[status(thm)],[c_6144,c_7478]) ).
tcf(c_75483,plain,
para(sK27,sK39,sK39,sK27),
inference(superposition,[status(thm)],[c_75234,c_53]) ).
tcf(c_75762,plain,
para(sK27,sK39,sK27,sK39),
inference(superposition,[status(thm)],[c_75483,c_52]) ).
tcf(c_75809,plain,
! [X0: $i] :
( midp(X0,sK39,sK39)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK39,sK27,sK39) ),
inference(superposition,[status(thm)],[c_75762,c_113]) ).
tcf(c_75819,plain,
! [X0: $i] :
( midp(X0,sK39,sK39)
| ~ midp(X0,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75809,c_75762]) ).
tcf(c_75822,plain,
( midp(sK20,sK39,sK39)
| ~ midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_75819]) ).
tcf(c_77815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK22,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK22,X2,X1)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_77816,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_77815]) ).
tcf(c_81105,plain,
! [X0: $i] :
( cong(sK28,sK20,sK28,X0)
| ~ cong(sK28,sK20,sK28,sK21)
| ~ cong(sK28,sK21,sK28,X0) ),
inference(instantiation,[status(thm)],[c_13453]) ).
tcf(c_81107,plain,
( cong(sK28,sK20,sK28,sK20)
| ~ cong(sK28,sK21,sK28,sK20)
| ~ cong(sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_81105]) ).
tcf(c_81205,plain,
! [X0: $i] :
( cong(sK29,sK20,sK29,X0)
| ~ cong(sK29,sK20,sK29,sK22)
| ~ cong(sK29,sK22,sK29,X0) ),
inference(instantiation,[status(thm)],[c_13526]) ).
tcf(c_81207,plain,
( cong(sK29,sK20,sK29,sK20)
| ~ cong(sK29,sK22,sK29,sK20)
| ~ cong(sK29,sK20,sK29,sK22) ),
inference(instantiation,[status(thm)],[c_81205]) ).
tcf(c_81261,plain,
coll(sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_14231,c_13302]) ).
tcf(c_83034,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_81261,c_49]) ).
tcf(c_112181,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK24,X1,X0)
| ~ para(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_112183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK27,sK24,X2,X3)
| ~ eqangle(sK27,sK24,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_112184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK27,sK24,X2,X3)
| ~ para(sK27,sK24,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_112332,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK24)
| ~ para(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_112355,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_112356,plain,
( perp(sK20,sK20,sK26,sK25)
| ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_112355]) ).
tcf(c_112404,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ coll(sK27,X0,X1)
| ~ cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_112405,plain,
( midp(sK27,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| ~ cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_112404]) ).
tcf(c_112411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK27,X1,X3)
| ~ midp(sK27,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_112414,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK27,X1)
| ~ coll(X0,sK27,X1)
| ~ cong(X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_112416,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK27,X1)
| ~ midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_112417,plain,
( midp(sK20,sK27,sK20)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_112416]) ).
tcf(c_112421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK27,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK27,X2,X1)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_112589,plain,
! [X0: $i,X1: $i] :
( perp(sK27,sK24,X0,X1)
| ~ perp(X0,X1,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_112655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK27,sK24,X0,X1,X4,X5,X2,X3)
| ~ eqangle(X0,X1,sK27,sK24,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_112700,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X0,sK27,X1)
| ~ midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_112707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK27,X3,sK27,X2)
| ~ cong(sK27,X3,X0,X1)
| ~ cong(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_112708,plain,
( cong(sK27,sK20,sK27,sK20)
| ~ cong(sK20,sK20,sK27,sK20)
| ~ cong(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_112707]) ).
tcf(c_112711,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X1,sK27,X1)
| ~ midp(X1,sK27,X0)
| ~ perp(sK27,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_112911,plain,
( para(sK27,sK24,sK24,sK27)
| ~ para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_112181]) ).
tcf(c_113154,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK27)
| ~ coll(X0,X1,sK27)
| ~ cong(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_113155,plain,
( midp(sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_113154]) ).
tcf(c_113162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK27)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK27,X2,X1)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_113720,plain,
! [X0: $i] :
( perp(sK27,sK24,X0,sK27)
| ~ perp(X0,sK27,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_112589]) ).
tcf(c_113748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK24,sK27,X2,X3)
| ~ para(sK24,sK27,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_113754,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,sK27,X2,X1)
| ~ midp(X0,sK24,X2)
| ~ midp(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_113876,plain,
! [X0: $i] :
( perp(sK27,sK27,sK27,X0)
| ~ cong(sK27,sK27,sK27,sK27)
| ~ cong(sK27,X0,sK27,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_113884,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK27,sK27,sK27,X2)
| ~ para(sK27,sK27,X0,X1)
| ~ perp(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_113885,plain,
( perp(sK27,sK27,sK27,sK20)
| ~ perp(sK20,sK20,sK27,sK20)
| ~ para(sK27,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_113884]) ).
tcf(c_114001,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK26,sK26,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_114002,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_114001]) ).
tcf(c_114030,plain,
! [X0: $i,X1: $i] :
( coll(sK27,X0,X1)
| ~ para(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_114033,plain,
( coll(sK27,sK20,sK20)
| ~ para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_114030]) ).
tcf(c_114215,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK27,X1)
| ~ para(X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_114301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK27,sK27,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_114302,plain,
( perp(sK20,sK27,sK27,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK27,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_114301]) ).
tcf(c_114307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,sK27,sK27,X3)
| ~ perp(X1,X2,sK27,X3)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_114742,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK27,X1,X0,X2)
| ~ cong(sK27,X2,X1,X2)
| ~ cong(sK27,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_114743,plain,
( perp(sK27,sK20,sK20,sK20)
| ~ cong(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_114742]) ).
tcf(c_114749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK27,X4,X2,X3)
| ~ para(sK27,X4,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_115002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,sK24,X2,X3)
| ~ perp(X2,sK24,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_115005,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK24,X0,X2)
| ~ midp(sK24,X1,X2)
| ~ midp(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_115015,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X0,X1)
| ~ para(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_115017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK27,X0,X3)
| ~ eqangle(X0,sK27,X1,X2,X0,X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_115019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,sK27,X2,X3)
| ~ perp(X2,sK27,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_115020,plain,
( para(sK20,sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115019]) ).
tcf(c_115057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK24,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK24,X2,X1)
| ~ para(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_115058,plain,
( midp(sK20,sK24,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK24)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115057]) ).
tcf(c_115084,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,sK27,X2)
| ~ midp(X2,X0,X1)
| ~ perp(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_115085,plain,
( cong(sK20,sK20,sK27,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_115084]) ).
tcf(c_115404,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,X2,sK27)
| ~ para(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_115409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK27)
| ~ para(X2,X3,X4,sK27)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_115410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK27)
| ~ perp(X2,X3,X4,sK27)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_115413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X3,X2,sK27)
| ~ midp(X3,X1,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_115414,plain,
( para(sK20,sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_115413]) ).
tcf(c_115512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK27,sK24,X2,X3,sK27,sK24)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_115513,plain,
( eqangle(sK20,sK20,sK27,sK24,sK20,sK20,sK27,sK24)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115512]) ).
tcf(c_116192,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK24,X1,sK24,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK24,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_118671,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK26,sK26,X0)
| ~ cong(sK26,X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_118672,plain,
( cong(sK20,sK26,sK26,sK20)
| ~ cong(sK26,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_118671]) ).
tcf(c_118695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK27,X0,sK27,X1)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_118698,plain,
( para(sK27,sK20,sK27,sK20)
| ~ para(sK20,sK20,sK20,sK20)
| ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_118695]) ).
tcf(c_118738,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK27)
| ~ coll(sK27,X0,X2)
| ~ coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_118739,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_118738]) ).
tcf(c_119654,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK25)
| ~ para(X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_119657,plain,
( coll(sK20,sK20,sK25)
| ~ para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_119654]) ).
tcf(c_119897,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X1,X2,sK27,X0)
| ~ perp(sK27,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_119898,plain,
( perp(sK20,sK20,sK27,sK20)
| ~ perp(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_119897]) ).
tcf(c_120438,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,sK24)
| ~ para(X0,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_120439,plain,
( para(sK20,sK20,sK20,sK24)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_120438]) ).
tcf(c_120710,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,sK27)
| ~ cong(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_120711,plain,
( cong(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_120710]) ).
tcf(c_120878,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK27,sK27,X1,X2)
| ~ midp(X0,sK27,X2)
| ~ midp(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_120879,plain,
( para(sK27,sK27,sK20,sK20)
| ~ midp(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_120878]) ).
tcf(c_120941,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X0,X0,X1)
| ~ cong(X0,X1,sK27,X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_120942,plain,
( cong(sK27,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_120941]) ).
tcf(c_121246,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK26,X1,sK26,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK26,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_121247,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_121246]) ).
tcf(c_123468,plain,
! [X0: $i,X1: $i,X2: $i] :
( circle(X0,X1,sK27,X2)
| ~ cong(X0,X1,X0,sK27)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_123469,plain,
( circle(sK20,sK20,sK27,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_123468]) ).
tcf(c_123901,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X0,sK27)
| ~ eqangle(X0,sK27,X0,X1,X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_115017]) ).
tcf(c_123903,plain,
( para(sK20,sK27,sK20,sK27)
| ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_123901]) ).
tcf(c_124689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK24,X0,X1,sK27,sK24,X2,X3)
| ~ eqangle(X0,X1,sK27,sK24,X2,X3,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_112655]) ).
tcf(c_124691,plain,
( eqangle(sK27,sK24,sK20,sK20,sK27,sK24,sK20,sK20)
| ~ eqangle(sK20,sK20,sK27,sK24,sK20,sK20,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_124689]) ).
tcf(c_126149,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK27,X1,X2)
| ~ cong(X0,X2,sK27,X2)
| ~ cong(X0,X1,sK27,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_126150,plain,
( perp(sK20,sK27,sK20,sK20)
| ~ cong(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_126149]) ).
tcf(c_126292,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK37,sK27)
| ~ perp(sK21,sK23,sK37,sK27)
| ~ perp(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_115410]) ).
tcf(c_126293,plain,
( para(sK20,sK20,sK37,sK27)
| ~ perp(sK21,sK23,sK37,sK27)
| ~ perp(sK20,sK20,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_126292]) ).
tcf(c_126296,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK39,sK27)
| ~ perp(sK23,sK22,sK39,sK27)
| ~ perp(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_115410]) ).
tcf(c_126714,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK27,X1,sK27,X2,X0,X1,X0,X2)
| ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_126715,plain,
( eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_126714]) ).
tcf(c_126783,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| ~ eqangle(X0,X1,sK27,X1,X0,X2,sK27,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_126784,plain,
( eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20)
| ~ eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_126783]) ).
tcf(c_127588,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK27,X2,X0,X1)
| ~ para(sK27,X2,sK37,sK27)
| ~ perp(sK37,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_114749]) ).
tcf(c_127604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK37,sK27)
| ~ para(X2,X3,sK37,sK27)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_115409]) ).
tcf(c_127728,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,X1)
| ~ midp(X2,X0,sK39)
| ~ para(X0,sK27,sK39,X1)
| ~ para(X0,X1,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_112421]) ).
tcf(c_127758,plain,
! [X0: $i] :
( para(sK39,X0,sK39,sK27)
| ~ perp(sK23,sK22,sK39,sK27)
| ~ perp(sK39,X0,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_126296]) ).
tcf(c_127759,plain,
! [X0: $i] :
( para(sK39,sK27,sK39,X0)
| ~ para(sK39,X0,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_115015]) ).
tcf(c_128138,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK24,sK27,sK24)
| ~ eqangle(sK27,sK24,X0,X1,sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_112183]) ).
tcf(c_128139,plain,
( para(sK27,sK24,sK27,sK24)
| ~ eqangle(sK27,sK24,sK20,sK20,sK27,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_128138]) ).
tcf(c_128493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5)
| ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_128494,plain,
( eqangle(sK20,sK27,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_128493]) ).
tcf(c_130205,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK25,X1)
| ~ coll(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_130206,plain,
( coll(sK20,sK25,sK20)
| ~ coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_130205]) ).
tcf(c_130563,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,sK27,X1,X0,X2,sK27,X1)
| ~ para(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_130564,plain,
( eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_130563]) ).
tcf(c_130708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,sK27,X1,X2,X0,sK27,X0,X3)
| ~ midp(X3,sK27,X2)
| ~ circle(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_130709,plain,
( eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20)
| ~ midp(sK20,sK27,sK20)
| ~ circle(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_130708]) ).
tcf(c_132915,plain,
( para(sK24,sK27,sK27,sK24)
| ~ para(sK27,sK24,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_112332]) ).
tcf(c_133005,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_115057]) ).
tcf(c_133007,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK27,sK27)
| ~ para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_133005]) ).
tcf(c_135242,plain,
! [X0: $i] :
( midp(sK24,sK27,X0)
| ~ coll(sK24,sK27,X0)
| ~ cong(sK24,sK27,sK24,X0) ),
inference(instantiation,[status(thm)],[c_112414]) ).
tcf(c_135244,plain,
( midp(sK24,sK27,sK20)
| ~ coll(sK24,sK27,sK20)
| ~ cong(sK24,sK27,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_135242]) ).
tcf(c_135440,plain,
( cong(sK27,sK24,sK27,sK24)
| ~ midp(sK27,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_112700]) ).
tcf(c_136029,plain,
! [X0: $i,X1: $i] :
( para(X0,sK24,X0,X1)
| ~ midp(sK24,sK27,X1)
| ~ midp(X0,sK27,X0) ),
inference(instantiation,[status(thm)],[c_115005]) ).
tcf(c_136031,plain,
( para(sK20,sK24,sK20,sK20)
| ~ midp(sK20,sK27,sK20)
| ~ midp(sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_136029]) ).
tcf(c_136639,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27,sK27,X1)
| ~ midp(sK27,X0,X2)
| ~ para(X0,sK27,X2,X1)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_112411]) ).
tcf(c_136640,plain,
( midp(sK27,sK27,sK20)
| ~ midp(sK27,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK27)
| ~ para(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_136639]) ).
tcf(c_136974,plain,
! [X0: $i] :
( perp(sK39,X0,sK23,sK22)
| ~ perp(sK23,sK22,sK39,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_137431,plain,
! [X0: $i] :
( cong(sK27,sK27,sK27,sK27)
| ~ midp(sK27,sK27,X0)
| ~ perp(sK27,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_112711]) ).
tcf(c_137432,plain,
( cong(sK27,sK27,sK27,sK27)
| ~ midp(sK27,sK27,sK20)
| ~ perp(sK27,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_137431]) ).
tcf(c_137570,plain,
! [X0: $i] :
( perp(sK27,X0,sK21,sK23)
| ~ perp(sK37,sK27,sK21,sK23)
| ~ para(sK27,X0,sK37,sK27) ),
inference(instantiation,[status(thm)],[c_127588]) ).
tcf(c_138047,plain,
( perp(sK27,sK24,sK27,sK27)
| ~ perp(sK27,sK27,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_113720]) ).
tcf(c_138424,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK24,sK37,sK27)
| ~ para(sK27,sK24,X0,X1)
| ~ para(X0,X1,sK37,sK27) ),
inference(instantiation,[status(thm)],[c_127604]) ).
tcf(c_138430,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK27,sK37,sK27)
| ~ para(X1,X2,sK37,sK27)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_127604]) ).
tcf(c_138431,plain,
( para(sK20,sK27,sK37,sK27)
| ~ para(sK20,sK20,sK37,sK27)
| ~ para(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_138430]) ).
tcf(c_138877,plain,
( para(sK39,sK27,sK39,sK26)
| ~ para(sK39,sK26,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_127759]) ).
tcf(c_141307,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK27,X0,X1)
| ~ para(sK24,sK27,sK27,sK24)
| ~ para(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_113748]) ).
tcf(c_141312,plain,
( para(sK24,sK27,sK20,sK20)
| ~ para(sK24,sK27,sK27,sK24)
| ~ para(sK27,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_141307]) ).
tcf(c_142520,plain,
( midp(sK27,sK24,sK24)
| ~ midp(sK27,sK27,sK27)
| ~ para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_133005]) ).
tcf(c_142530,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,sK27)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_112421]) ).
tcf(c_142533,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_142530]) ).
tcf(c_143103,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK27,sK26)
| ~ midp(X1,X0,sK39)
| ~ para(X0,sK26,sK39,sK27)
| ~ para(X0,sK27,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_127728]) ).
tcf(c_143801,plain,
! [X0: $i] :
( coll(sK24,sK27,X0)
| ~ para(sK24,sK27,sK24,X0) ),
inference(instantiation,[status(thm)],[c_114215]) ).
tcf(c_143808,plain,
( coll(sK24,sK27,sK20)
| ~ para(sK24,sK27,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_143801]) ).
tcf(c_145779,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK27,sK24,X1)
| ~ midp(X0,sK24,sK24)
| ~ midp(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_113754]) ).
tcf(c_145780,plain,
( para(sK24,sK27,sK24,sK20)
| ~ midp(sK20,sK24,sK24)
| ~ midp(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_145779]) ).
tcf(c_146003,plain,
! [X0: $i] :
( para(sK27,sK24,X0,sK27)
| ~ para(sK27,sK24,sK27,X0) ),
inference(instantiation,[status(thm)],[c_115404]) ).
tcf(c_146009,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK27,sK24,X1,X2)
| ~ para(sK27,sK24,X0,sK27)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_112184]) ).
tcf(c_146014,plain,
( para(sK27,sK24,sK20,sK27)
| ~ para(sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_146003]) ).
tcf(c_146019,plain,
( para(sK27,sK24,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK20)
| ~ para(sK27,sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_146009]) ).
tcf(c_147565,plain,
( perp(sK27,sK27,sK27,sK24)
| ~ cong(sK27,sK24,sK27,sK24)
| ~ cong(sK27,sK27,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_113876]) ).
tcf(c_148862,plain,
( para(sK39,sK26,sK39,sK27)
| ~ perp(sK39,sK26,sK23,sK22)
| ~ perp(sK23,sK22,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_127758]) ).
tcf(c_149917,plain,
! [X0: $i] :
( para(sK27,sK24,sK27,X0)
| ~ perp(sK27,sK24,sK27,sK27)
| ~ perp(sK27,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_115002]) ).
tcf(c_149918,plain,
( para(sK27,sK24,sK27,sK20)
| ~ perp(sK27,sK24,sK27,sK27)
| ~ perp(sK27,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_149917]) ).
tcf(c_150876,plain,
( perp(sK27,sK24,sK21,sK23)
| ~ perp(sK37,sK27,sK21,sK23)
| ~ para(sK27,sK24,sK37,sK27) ),
inference(instantiation,[status(thm)],[c_137570]) ).
tcf(c_154151,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK24,sK27,sK27,X2)
| ~ para(sK24,sK27,X0,X1)
| ~ perp(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_114307]) ).
tcf(c_154152,plain,
( perp(sK24,sK27,sK27,sK20)
| ~ perp(sK20,sK20,sK27,sK20)
| ~ para(sK24,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_154151]) ).
tcf(c_156011,plain,
! [X0: $i] :
( midp(X0,sK27,sK26)
| ~ midp(X0,sK39,sK39)
| ~ para(sK39,sK26,sK39,sK27)
| ~ para(sK39,sK27,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_143103]) ).
tcf(c_156014,plain,
( midp(sK20,sK27,sK26)
| ~ midp(sK20,sK39,sK39)
| ~ para(sK39,sK26,sK39,sK27)
| ~ para(sK39,sK27,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_156011]) ).
tcf(c_156703,plain,
! [X0: $i] :
( para(sK27,sK24,sK37,sK27)
| ~ para(sK27,sK24,X0,sK27)
| ~ para(X0,sK27,sK37,sK27) ),
inference(instantiation,[status(thm)],[c_138424]) ).
tcf(c_156715,plain,
( para(sK27,sK24,sK37,sK27)
| ~ para(sK20,sK27,sK37,sK27)
| ~ para(sK27,sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_156703]) ).
tcf(c_158208,plain,
( perp(sK39,sK26,sK23,sK22)
| ~ perp(sK23,sK22,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_136974]) ).
tcf(c_171015,plain,
! [X0: $i,X1: $i] :
( midp(sK27,sK27,sK27)
| ~ midp(sK27,X0,X1)
| ~ para(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_113162]) ).
tcf(c_171016,plain,
( midp(sK27,sK27,sK27)
| ~ midp(sK27,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_171015]) ).
tcf(c_171438,plain,
( perp(sK23,sK22,sK39,sK26)
| ~ cong(sK23,sK39,sK22,sK39)
| ~ cong(sK23,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_171684,plain,
! [X0: $i] :
( cong(sK24,sK27,sK24,X0)
| ~ midp(sK27,sK27,X0)
| ~ perp(sK24,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_116192]) ).
tcf(c_171686,plain,
( cong(sK24,sK27,sK24,sK20)
| ~ midp(sK27,sK27,sK20)
| ~ perp(sK24,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_171684]) ).
tcf(c_172731,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_4409,c_104]) ).
tcf(c_173555,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK25,sK25,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_173556,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_173555]) ).
tcf(c_173693,plain,
cong(sK20,sK22,sK20,sK23),
inference(global_subsumption_just,[status(thm)],[c_172731,c_168,c_166,c_192,c_195,c_199,c_204,c_220,c_253,c_6071,c_6068,c_6067,c_6088,c_6454,c_6455,c_6526,c_7859,c_7865,c_8017,c_8271,c_9656,c_9782,c_10277,c_18991,c_19503,c_19505,c_19608,c_19754,c_20293,c_21061,c_22413,c_26674,c_28089,c_28272,c_29170,c_50431,c_61976,c_77816,c_81107,c_81207,c_83034]) ).
tcf(c_173699,plain,
cong(sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_173693,c_71]) ).
tcf(c_175709,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK24,sK26,X1)
| ~ midp(X0,sK27,sK26)
| ~ midp(X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_175710,plain,
( para(sK27,sK24,sK26,sK20)
| ~ midp(sK20,sK24,sK20)
| ~ midp(sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_175709]) ).
tcf(c_175904,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK27,sK24,X2,sK25)
| ~ perp(sK27,sK24,X0,X1)
| ~ perp(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_176481,plain,
cong(sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_173699,c_72]) ).
tcf(c_178200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,sK25,sK25,X1)
| ~ cong(X2,X3,X4,X5)
| ~ eqratio(X0,sK25,sK25,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_178201,plain,
( cong(sK20,sK25,sK25,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK20,sK25,sK25,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_178200]) ).
tcf(c_179852,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK25,X0,X1)
| ~ para(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_179854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK25,X2,X3)
| ~ para(X4,sK25,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_179855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK25,X2,X3)
| ~ perp(X4,sK25,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_184354,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X2,X0,X1)
| ~ para(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_184357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK25,X4,X2,X3)
| ~ para(sK25,X4,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_186109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK26,X2,X2,X3)
| ~ para(sK26,X2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_187425,plain,
cong(sK23,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_176481,c_71]) ).
tcf(c_191056,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,X2,X0,X1)
| ~ para(X0,X1,sK26,X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_197137,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK20,X0,X1)
| ~ cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_187425,c_73]) ).
tcf(c_197146,plain,
( cong(sK23,sK20,sK20,sK20)
| ~ cong(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_197137]) ).
tcf(c_198898,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(resolution,[status(thm)],[c_104,c_4409]) ).
tcf(c_199948,plain,
! [X0: $i,X1: $i] :
( cong(sK26,X0,X1,sK26)
| ~ cong(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_199949,plain,
( cong(sK26,sK20,sK20,sK26)
| ~ cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_199948]) ).
tcf(c_201379,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,X2,sK25)
| ~ para(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_201380,plain,
( para(sK20,sK20,sK20,sK25)
| ~ para(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_201379]) ).
tcf(c_203712,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK25,X0)
| ~ para(sK25,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_203713,plain,
( para(sK20,sK20,sK25,sK20)
| ~ para(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_203712]) ).
tcf(c_204959,plain,
cong(sK20,sK22,sK20,sK23),
inference(global_subsumption_just,[status(thm)],[c_198898,c_168,c_166,c_192,c_195,c_199,c_204,c_220,c_253,c_6071,c_6068,c_6067,c_6088,c_6454,c_6455,c_6526,c_7859,c_7865,c_8017,c_8271,c_9656,c_9782,c_10277,c_18991,c_19503,c_19505,c_19608,c_19754,c_20293,c_21061,c_22413,c_26674,c_28089,c_28272,c_29170,c_50431,c_61976,c_77816,c_81107,c_81207,c_83034]) ).
tcf(c_205053,plain,
( midp(sK20,sK22,sK23)
| ~ coll(sK20,sK22,sK23) ),
inference(resolution,[status(thm)],[c_204959,c_116]) ).
tcf(c_208266,plain,
( para(sK27,sK24,sK33,sK25)
| ~ perp(sK21,sK23,sK33,sK25)
| ~ perp(sK27,sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_175904]) ).
tcf(c_214739,plain,
( para(sK33,sK25,sK27,sK24)
| ~ para(sK27,sK24,sK33,sK25) ),
inference(instantiation,[status(thm)],[c_179852]) ).
tcf(c_238458,plain,
! [X0: $i,X1: $i] :
( para(sK33,sK25,X0,X1)
| ~ para(sK33,sK25,sK27,sK24)
| ~ para(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_179854]) ).
tcf(c_239186,plain,
midp(sK20,sK22,sK23),
inference(global_subsumption_just,[status(thm)],[c_205053,c_168,c_166,c_192,c_195,c_199,c_204,c_220,c_253,c_6071,c_6068,c_6067,c_6088,c_6454,c_6455,c_6526,c_7859,c_7865,c_8017,c_8271,c_9656,c_9782,c_10277,c_18991,c_19503,c_19505,c_19608,c_19754,c_21061,c_22413,c_26674,c_28089,c_28272,c_29170,c_50431,c_61976,c_77816,c_81107,c_81207,c_83034]) ).
tcf(c_239196,plain,
! [X0: $i] :
( cong(sK22,sK20,X0,sK20)
| ~ perp(sK22,X0,X0,sK23) ),
inference(resolution,[status(thm)],[c_239186,c_101]) ).
tcf(c_239197,plain,
( cong(sK22,sK20,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_239196]) ).
tcf(c_254009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqratio(X3,sK25,sK25,X1,X3,X0,X0,X2)
| ~ coll(X3,sK25,X1)
| ~ coll(X3,X0,X2)
| ~ para(sK25,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_254010,plain,
( eqratio(sK20,sK25,sK25,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20)
| ~ para(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_254009]) ).
tcf(c_254815,plain,
! [X0: $i,X1: $i] :
( para(sK32,sK25,X0,X1)
| ~ perp(sK32,sK25,sK23,sK20)
| ~ perp(sK23,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_179855]) ).
tcf(c_255882,plain,
! [X0: $i] :
( para(sK25,X0,sK32,sK25)
| ~ para(sK32,sK25,sK25,X0) ),
inference(instantiation,[status(thm)],[c_184354]) ).
tcf(c_255884,plain,
( para(sK25,sK20,sK32,sK25)
| ~ para(sK32,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_255882]) ).
tcf(c_256120,plain,
! [X0: $i] :
( para(sK26,X0,sK33,sK25)
| ~ para(sK33,sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_191056]) ).
tcf(c_256124,plain,
( para(sK26,sK20,sK33,sK25)
| ~ para(sK33,sK25,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_256120]) ).
tcf(c_272735,plain,
! [X0: $i] :
( para(sK33,sK25,sK26,X0)
| ~ para(sK33,sK25,sK27,sK24)
| ~ para(sK27,sK24,sK26,X0) ),
inference(instantiation,[status(thm)],[c_238458]) ).
tcf(c_272737,plain,
( para(sK33,sK25,sK26,sK20)
| ~ para(sK33,sK25,sK27,sK24)
| ~ para(sK27,sK24,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_272735]) ).
tcf(c_273580,plain,
! [X0: $i] :
( para(sK32,sK25,sK25,X0)
| ~ perp(sK32,sK25,sK23,sK20)
| ~ perp(sK23,sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_254815]) ).
tcf(c_273581,plain,
( para(sK32,sK25,sK25,sK20)
| ~ perp(sK32,sK25,sK23,sK20)
| ~ perp(sK23,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_273580]) ).
tcf(c_274149,plain,
! [X0: $i,X1: $i] :
( perp(sK26,X0,X0,X1)
| ~ para(sK26,X0,sK33,sK25)
| ~ perp(sK33,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_186109]) ).
tcf(c_274150,plain,
( perp(sK26,sK20,sK20,sK20)
| ~ perp(sK33,sK25,sK20,sK20)
| ~ para(sK26,sK20,sK33,sK25) ),
inference(instantiation,[status(thm)],[c_274149]) ).
tcf(c_275814,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X2,X0,X1)
| ~ para(sK25,X2,sK32,sK25)
| ~ para(sK32,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_184357]) ).
tcf(c_275815,plain,
( para(sK25,sK20,sK20,sK20)
| ~ para(sK32,sK25,sK20,sK20)
| ~ para(sK25,sK20,sK32,sK25) ),
inference(instantiation,[status(thm)],[c_275814]) ).
tcf(c_275816,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_275815,c_274150,c_273581,c_272737,c_256124,c_255884,c_254010,c_239197,c_214739,c_208266,c_203713,c_201380,c_199949,c_197146,c_178201,c_175710,c_173556,c_171686,c_171438,c_171016,c_158208,c_156715,c_156014,c_154152,c_150876,c_149918,c_148862,c_147565,c_146019,c_146014,c_145780,c_143808,c_142533,c_142520,c_141312,c_138877,c_138431,c_138047,c_137432,c_136640,c_136031,c_135440,c_135244,c_133007,c_132915,c_130709,c_130564,c_130206,c_128494,c_128139,c_126784,c_126715,c_126293,c_126150,c_124691,c_123903,c_123469,c_121247,c_120942,c_120879,c_120711,c_120439,c_119898,c_119657,c_118739,c_118698,c_118672,c_115513,c_115414,c_115085,c_115058,c_115020,c_114743,c_114302,c_114033,c_114002,c_113885,c_113155,c_112911,c_112708,c_112417,c_112405,c_112356,c_81207,c_81107,c_77816,c_75822,c_67321,c_44214,c_39344,c_38038,c_37999,c_35699,c_35226,c_29170,c_28272,c_28089,c_28029,c_27695,c_26859,c_26674,c_23469,c_22413,c_20597,c_20482,c_19608,c_19505,c_19503,c_18991,c_18952,c_18881,c_13483,c_9782,c_9656,c_8017,c_7996,c_7865,c_7859,c_7762,c_6802,c_6547,c_6455,c_6454,c_6411,c_6181,c_6090,c_6067,c_6068,c_253,c_220,c_204,c_199,c_195,c_192,c_162,c_177,c_185,c_189,c_166,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO545+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 : n008.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 12:22:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.16/0.42
% 0.16/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.42
% 0.16/0.42 % Detected problem language: tptp
% 0.16/0.44 % Proving...
% 105.72/17.37 % SZS status Started for theBenchmark.p
% 105.72/17.37 % SZS status Theorem for theBenchmark.p
% 105.72/17.37
% 105.72/17.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 105.72/17.37
% 105.72/17.37 % ------ iProver source info
% 105.72/17.37
% 105.72/17.37 % git: date: 2026-07-19 20:42:38 +0200
% 105.72/17.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 105.72/17.37 % git: non_committed_changes: false
% 105.72/17.37
% 105.72/17.37 % ------ Parsing...
% 105.72/17.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 105.72/17.37
% 105.72/17.37 % ------ 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 %
% 105.72/17.37
% 105.72/17.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 105.72/17.37
% 105.72/17.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 105.72/17.37 % ------ Proving...
% 105.72/17.37 % ------ Problem Properties
% 105.72/17.37
% 105.72/17.37 %
% 105.72/17.37 % clauses 140
% 105.72/17.37 % conjectures 28
% 105.72/17.37 % EPR 103
% 105.72/17.37 % Horn 130
% 105.72/17.37 % unary 28
% 105.72/17.37 % binary 37
% 105.72/17.37 % lits 356
% 105.72/17.37 % lits eq 4
% 105.72/17.37 % fd_pure 0
% 105.72/17.37 % fd_pseudo 0
% 105.72/17.37 % fd_cond 0
% 105.72/17.37 % fd_pseudo_cond 4
% 105.72/17.37 % AC symbols 0
% 105.72/17.37
% 105.72/17.37 % ------ Schedule dynamic 5 is on
% 105.72/17.37
% 105.72/17.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.72/17.37
% 105.72/17.37
% 105.72/17.37 % ------
% 105.72/17.37 % Current options:
% 105.72/17.37 % ------
% 105.72/17.37
% 105.72/17.37
% 105.72/17.37 %
% 105.72/17.37
% 105.72/17.37 % ------ Proving...
% 105.72/17.37 % Proof_search_loop: time out after: 9633 full_loop iterations
% 105.72/17.37
% 105.72/17.37 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.72/17.37
% 105.72/17.37
% 105.72/17.37 % ------
% 105.72/17.37 % Current options:
% 105.72/17.37 % ------
% 105.72/17.37
% 105.72/17.37
% 105.72/17.37 %
% 105.72/17.37
% 105.72/17.37 % ------ Proving...
% 105.72/17.37 %
% 105.72/17.37
% 105.72/17.37 % SZS status Theorem for theBenchmark.p
% 105.72/17.37
% 105.72/17.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.72/17.39
% 105.72/17.39
%------------------------------------------------------------------------------