%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO609+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:37 PM UTC 2026
% Result : Theorem 19.32s 3.73s
% Output : CNFRefutation 19.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 322 ( 54 unt; 0 def)
% Number of atoms : 782 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 841 ( 381 ~; 375 |; 53 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 795 ( 0 sgn 777 !; 18 ?; 235 :)
% 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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> para(X5,X6,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> para(X5,X6,X0,X3) ),
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2)
& ~ para(X5,X6,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2)
& ~ para(X5,X6,X0,X3) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK24,sK20,sK21)
& circle(sK23,sK20,sK24,sK27)
& para(sK21,sK22,sK24,sK20)
& circle(sK23,sK20,sK21,sK22)
& ~ para(sK25,sK26,sK20,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f384,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
para(sK21,sK22,sK24,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ para(sK25,sK26,sK20,sK23),
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_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_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_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_162,negated_conjecture,
~ para(sK25,sK26,sK20,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_164,negated_conjecture,
para(sK21,sK22,sK24,sK20),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_168,negated_conjecture,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_175,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_184,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_200,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_233,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_358,plain,
( coll(sK25,sK21,sK20)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_359,plain,
( coll(sK26,sK22,sK20)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_360,plain,
( coll(sK20,sK25,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_361,plain,
( coll(sK20,sK26,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_362,plain,
( para(sK21,sK22,sK20,sK24)
| ~ para(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_363,plain,
( para(sK24,sK20,sK21,sK22)
| ~ para(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_376,plain,
( perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23)
| ~ circle(sK23,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK24,sK20)
| ~ para(sK21,sK22,sK24,sK20)
| ~ para(X0,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(sK26,sK24,sK20,sK22)
| ~ perp(X0,X1,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_383,plain,
( para(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK26,sK24)
| ~ perp(sK26,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,X0,X1,sK24,sK20,X0,X1)
| ~ para(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_387,plain,
( eqangle(sK21,sK22,sK20,sK20,sK24,sK20,sK20,sK20)
| ~ para(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_386]) ).
tcf(c_428,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_429,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_430,plain,
( coll(sK21,sK25,sK20)
| ~ coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_442,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_443,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_444,plain,
( coll(sK22,sK26,sK20)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_456,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_428,c_50]) ).
tcf(c_458,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_429,c_50]) ).
tcf(c_461,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_442,c_49]) ).
tcf(c_463,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_443,c_49]) ).
tcf(c_469,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK25,sK21)
| ~ coll(sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_470,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK25,sK21)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_488,plain,
para(sK21,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_52]) ).
tcf(c_495,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK26,sK22)
| ~ coll(sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_496,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK26,sK22)
| ~ coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_506,plain,
para(sK20,sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_488,c_53]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK24)
| ~ para(sK21,sK22,sK20,sK24)
| ~ para(X0,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_608,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_428,c_51]) ).
tcf(c_609,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_429,c_51]) ).
tcf(c_610,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_442,c_51]) ).
tcf(c_611,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_443,c_51]) ).
tcf(c_612,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_461,c_51]) ).
tcf(c_613,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_463,c_51]) ).
tcf(c_614,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_456,c_51]) ).
tcf(c_615,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_458,c_51]) ).
tcf(c_618,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_615]) ).
tcf(c_619,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_614]) ).
tcf(c_620,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_613]) ).
tcf(c_621,plain,
( coll(sK25,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_612]) ).
tcf(c_623,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_610]) ).
tcf(c_648,plain,
( perp(sK20,sK23,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_649,plain,
( perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK23)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23)
| ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_683,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_428,c_608]) ).
tcf(c_687,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_683,c_49]) ).
tcf(c_701,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_429,c_609]) ).
tcf(c_704,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_701,c_49]) ).
tcf(c_723,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_687,c_51]) ).
tcf(c_727,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_723]) ).
tcf(c_749,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_704,c_611]) ).
tcf(c_773,plain,
( para(sK24,sK20,sK24,sK20)
| ~ para(sK24,sK20,sK21,sK22)
| ~ para(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,sK24,sK20,X0,X1,X0,X1)
| ~ eqangle(sK21,sK22,X0,X1,sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_790,plain,
( eqangle(sK21,sK22,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK21,sK22,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_779]) ).
tcf(c_823,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_749,c_50]) ).
tcf(c_951,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_823,c_49]) ).
tcf(c_1025,plain,
para(sK24,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_164,c_53]) ).
tcf(c_1052,plain,
perp(sK20,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_168,c_56]) ).
tcf(c_1066,plain,
perp(sK20,sK22,sK24,sK26),
inference(superposition,[status(thm)],[c_1052,c_55]) ).
tcf(c_1299,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_1302,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
tcf(c_1303,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,X0,X1)
| ~ para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_1025,c_54]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_1415,plain,
( perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1417,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1451,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_1299,c_101]) ).
tcf(c_1520,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_1303,c_72]) ).
tcf(c_1593,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_1066,c_1377]) ).
tcf(c_1675,plain,
( coll(sK24,sK20,sK20)
| ~ para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i] :
( cong(sK25,sK20,X0,X1)
| ~ midp(sK24,sK20,sK21)
| ~ cong(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1302,c_73]) ).
tcf(c_1749,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_1303,c_73]) ).
tcf(c_1839,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK21,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1840,plain,
( coll(sK21,sK20,sK24)
| ~ coll(sK21,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1839]) ).
tcf(c_2029,plain,
( para(sK20,sK24,sK20,sK24)
| ~ para(sK21,sK22,sK20,sK24)
| ~ para(sK20,sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_520]) ).
tcf(c_2155,plain,
( para(sK20,sK23,sK20,sK23)
| ~ perp(sK20,sK23,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_650]) ).
tcf(c_2158,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_1593,c_53]) ).
tcf(c_2212,plain,
! [X0: $i,X1: $i] :
( coll(sK24,X1,sK21)
| ~ coll(sK21,X0,sK24)
| ~ coll(sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2213,plain,
( coll(sK24,sK20,sK21)
| ~ coll(sK21,sK20,sK24)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2212]) ).
tcf(c_2319,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK21,sK22,sK24,sK20)
| ~ eqangle(sK21,sK22,sK24,sK20,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_2327,plain,
( eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK24,sK20)
| ~ eqangle(sK21,sK22,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2319]) ).
tcf(c_2329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ eqangle(sK21,sK22,sK24,sK20,X4,X5,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_2330,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK21,sK22,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_2329]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X1,X0)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ coll(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2866,plain,
( midp(sK26,sK22,sK20)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_1520,c_116]) ).
tcf(c_2918,plain,
para(sK21,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_52]) ).
tcf(c_2928,plain,
para(sK20,sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_2918,c_53]) ).
tcf(c_2937,plain,
para(sK20,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_2928,c_52]) ).
tcf(c_2985,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_1343]) ).
tcf(c_3028,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_2985,c_115]) ).
tcf(c_3040,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_3028,c_51]) ).
tcf(c_3043,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3040]) ).
tcf(c_3155,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_2158,c_52]) ).
tcf(c_3961,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_1451,c_71]) ).
tcf(c_4258,plain,
! [X0: $i] :
( cong(sK26,sK20,sK26,X0)
| ~ midp(sK24,sK20,sK22)
| ~ midp(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_117,c_1749]) ).
tcf(c_4260,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK24,sK20,sK22)
| ~ midp(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_4258]) ).
tcf(c_4544,plain,
! [X0: $i,X1: $i] :
( coll(sK21,sK24,X0)
| ~ coll(X0,X1,sK24)
| ~ coll(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4545,plain,
( coll(sK21,sK24,sK20)
| ~ coll(sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4544]) ).
tcf(c_4639,plain,
! [X0: $i] :
( midp(sK24,X0,sK22)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_2928,c_94]) ).
tcf(c_4664,plain,
( midp(sK24,sK20,sK22)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_4639]) ).
tcf(c_5170,plain,
! [X0: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_2937,c_94]) ).
tcf(c_5176,plain,
( midp(sK24,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_5170]) ).
tcf(c_5628,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_5629,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_5628]) ).
tcf(c_5765,plain,
( para(sK23,sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_1417]) ).
tcf(c_5861,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK24,sK22,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5862,plain,
( coll(sK24,sK20,sK22)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_5861]) ).
tcf(c_6489,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2478]) ).
tcf(c_6905,plain,
para(sK21,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_52]) ).
tcf(c_6945,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6905,c_1343]) ).
tcf(c_6951,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6945,c_53]) ).
tcf(c_7068,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
tcf(c_7116,plain,
( cong(sK25,sK21,sK25,sK20)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7068,c_72]) ).
tcf(c_7287,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7116,c_1748]) ).
tcf(c_7417,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_2158,c_52]) ).
tcf(c_7591,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_6951,c_52]) ).
tcf(c_7709,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7591,c_113]) ).
tcf(c_7720,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK26,sK24,sK26) ),
inference(superposition,[status(thm)],[c_7417,c_113]) ).
tcf(c_7721,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK24,sK24)
| ~ para(sK24,sK26,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_7720]) ).
tcf(c_7724,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_7709]) ).
tcf(c_7871,plain,
( midp(sK25,sK20,sK20)
| ~ midp(sK24,sK20,sK21)
| ~ coll(sK25,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7287,c_116]) ).
tcf(c_8112,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK23)
| ~ coll(sK23,X0,X2)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8113,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8112]) ).
tcf(c_8521,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK26,sK20,sK23)
| ~ perp(sK25,sK26,X0,X1)
| ~ perp(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_8522,plain,
( para(sK25,sK26,sK20,sK23)
| ~ perp(sK20,sK20,sK20,sK23)
| ~ perp(sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8521]) ).
tcf(c_9550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK25,sK26,X2,X3)
| ~ para(sK25,sK26,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_9551,plain,
( perp(sK25,sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9550]) ).
tcf(c_9918,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_16532,plain,
perp(sK26,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
tcf(c_16556,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_1343]) ).
tcf(c_16560,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_16556,c_115]) ).
tcf(c_16561,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_16560,c_50]) ).
tcf(c_16667,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_1451,c_71]) ).
tcf(c_16681,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK24,sK22,sK20) ),
inference(superposition,[status(thm)],[c_16532,c_104]) ).
tcf(c_16991,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK24,sK22,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_16681,c_1749]) ).
tcf(c_17088,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_16561,c_49]) ).
tcf(c_17396,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_16991,c_169,c_359,c_2866,c_4260]) ).
tcf(c_17399,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_17396,c_116]) ).
tcf(c_19377,plain,
( cong(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_19434,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_17088,c_51]) ).
tcf(c_19816,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,sK26,X1,X2)
| ~ midp(sK26,X0,X2)
| ~ midp(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_19817,plain,
( para(sK25,sK26,sK20,sK20)
| ~ midp(sK26,sK20,sK20)
| ~ midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19816]) ).
tcf(c_20308,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_951,c_19434]) ).
tcf(c_20644,plain,
! [X0: $i] :
( cong(X0,sK26,X0,sK26)
| ~ midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_20645,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_21816,plain,
! [X0: $i] :
( coll(sK22,sK23,sK20)
| ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_21817,plain,
( coll(sK22,sK23,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_21816]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK24)
| ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_22142,plain,
( perp(sK20,sK20,sK26,sK24)
| ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_22141]) ).
tcf(c_22199,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK23)
| ~ cong(X0,sK23,X1,sK23)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_22200,plain,
( perp(sK20,sK20,sK20,sK23)
| ~ cong(sK20,sK23,sK20,sK23)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22199]) ).
tcf(c_23090,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_16667,c_169,c_163,c_359,c_376,c_444,c_618,c_649,c_1415,c_3961,c_5629,c_5765,c_6489,c_8113,c_9918,c_21817]) ).
tcf(c_23095,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_23090,c_116]) ).
tcf(c_24352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK22)
| ~ coll(X1,X3,sK22)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_24353,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_24352]) ).
tcf(c_24423,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_24424,plain,
( cong(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_24423]) ).
tcf(c_29318,plain,
! [X0: $i,X1: $i] :
( midp(sK20,sK23,sK23)
| ~ midp(sK20,X0,X1)
| ~ para(X0,sK23,X1,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_29319,plain,
( midp(sK20,sK23,sK23)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_29318]) ).
tcf(c_29320,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29319,c_24424,c_24353,c_23095,c_22200,c_22142,c_20645,c_20308,c_19817,c_19377,c_17399,c_9551,c_8522,c_7871,c_7724,c_7721,c_5862,c_5176,c_4664,c_4545,c_3155,c_3043,c_2330,c_2327,c_2213,c_2155,c_2029,c_1840,c_1675,c_790,c_773,c_727,c_704,c_687,c_648,c_623,c_621,c_620,c_619,c_618,c_506,c_496,c_470,c_444,c_430,c_387,c_383,c_376,c_363,c_362,c_361,c_360,c_359,c_358,c_233,c_200,c_184,c_175,c_162,c_163,c_164,c_168,c_167,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO609+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 12:32:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 19.32/3.73 % SZS status Started for theBenchmark.p
% 19.32/3.73 % SZS status Theorem for theBenchmark.p
% 19.32/3.73
% 19.32/3.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 19.32/3.73
% 19.32/3.73 % ------ iProver source info
% 19.32/3.73
% 19.32/3.73 % git: date: 2026-07-19 20:42:38 +0200
% 19.32/3.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 19.32/3.73 % git: non_committed_changes: false
% 19.32/3.73
% 19.32/3.73 % ------ Parsing...
% 19.32/3.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 19.32/3.73
% 19.32/3.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 19.32/3.73
% 19.32/3.73 % ------ Preprocessing...%
% 19.32/3.73
% 19.32/3.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.32/3.73 % ------ Proving...
% 19.32/3.73 % ------ Problem Properties
% 19.32/3.73
% 19.32/3.73 %
% 19.32/3.73 % clauses 120
% 19.32/3.73 % conjectures 8
% 19.32/3.73 % EPR 83
% 19.32/3.73 % Horn 110
% 19.32/3.73 % unary 8
% 19.32/3.73 % binary 37
% 19.32/3.73 % lits 336
% 19.32/3.73 % lits eq 4
% 19.32/3.73 % fd_pure 0
% 19.32/3.73 % fd_pseudo 0
% 19.32/3.73 % fd_cond 0
% 19.32/3.73 % fd_pseudo_cond 4
% 19.32/3.73 % AC symbols 0
% 19.32/3.73
% 19.32/3.73 % ------ Input Options Time Limit: Unbounded
% 19.32/3.73
% 19.32/3.73
% 19.32/3.73 % ------
% 19.32/3.73 % Current options:
% 19.32/3.73 % ------
% 19.32/3.73
% 19.32/3.73
% 19.32/3.73 %
% 19.32/3.73
% 19.32/3.73 % ------ Proving...
% 19.32/3.73 %
% 19.32/3.73
% 19.32/3.73 % SZS status Theorem for theBenchmark.p
% 19.32/3.73
% 19.32/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.32/3.74
% 19.32/3.74
%------------------------------------------------------------------------------