%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO580+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 : n001.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 01:21:32 PM UTC 2026
% Result : Theorem 37.02s 6.80s
% Output : CNFRefutation 43.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 43
% Syntax : Number of formulae : 633 ( 214 unt; 0 def)
% Number of atoms : 1374 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1366 ( 625 ~; 619 |; 78 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 1224 ( 0 sgn1205 !; 19 ?; 408 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(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(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(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(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f226]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ cyclic(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ cyclic(X4,X5,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X7,sK6(X0,X1,X2,X3,X4,X5,X6))],[f227]) ).
fof(f270,plain,
( midp(sK27,sK22,sK21)
& coll(sK26,sK20,sK23)
& perp(sK26,sK22,sK20,sK23)
& coll(sK25,sK20,sK23)
& perp(sK25,sK21,sK20,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& ~ cyclic(sK24,sK25,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(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(f360,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f257]) ).
fof(f384,plain,
midp(sK27,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
perp(sK26,sK22,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK25,sK21,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ cyclic(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_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_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_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_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK6(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_162,negated_conjecture,
~ cyclic(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f394]) ).
tcf(c_163,negated_conjecture,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f393]) ).
tcf(c_164,negated_conjecture,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f392]) ).
tcf(c_165,negated_conjecture,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(cnf_transformation,[],[f391]) ).
tcf(c_166,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_167,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_168,negated_conjecture,
perp(sK25,sK21,sK20,sK23),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f387]) ).
tcf(c_170,negated_conjecture,
perp(sK26,sK22,sK20,sK23),
inference(cnf_transformation,[],[f386]) ).
tcf(c_171,negated_conjecture,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_172,negated_conjecture,
midp(sK27,sK22,sK21),
inference(cnf_transformation,[],[f384]) ).
tcf(c_178,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_187,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4298,negated_conjecture,
midp(sK27,sK22,sK21),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_4299,negated_conjecture,
coll(sK26,sK20,sK23),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4300,negated_conjecture,
perp(sK26,sK22,sK20,sK23),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4301,negated_conjecture,
coll(sK25,sK20,sK23),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4302,negated_conjecture,
perp(sK25,sK21,sK20,sK23),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4303,negated_conjecture,
coll(sK24,sK21,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4304,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4305,negated_conjecture,
eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4306,negated_conjecture,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4307,negated_conjecture,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5866,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_4303,c_49]) ).
tcf(c_5867,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_4301,c_49]) ).
tcf(c_5868,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_4299,c_49]) ).
tcf(c_5873,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_4303,c_50]) ).
tcf(c_5874,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_4301,c_50]) ).
tcf(c_5880,plain,
midp(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_4298,c_59]) ).
tcf(c_5885,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_4298,c_118]) ).
tcf(c_5886,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_5866,c_50]) ).
tcf(c_5888,plain,
coll(sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_5867,c_50]) ).
tcf(c_5893,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_5873,c_49]) ).
tcf(c_5898,plain,
coll(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_5880,c_118]) ).
tcf(c_5900,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_5885,c_50]) ).
tcf(c_5903,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_5886,c_49]) ).
tcf(c_5930,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_5898,c_50]) ).
tcf(c_5933,plain,
coll(sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_5900,c_49]) ).
tcf(c_5941,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_5930,c_49]) ).
tcf(c_5950,plain,
perp(sK24,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_4304,c_55]) ).
tcf(c_5958,plain,
perp(sK21,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_4304,c_56]) ).
tcf(c_5959,plain,
perp(sK20,sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_4302,c_56]) ).
tcf(c_5960,plain,
perp(sK20,sK23,sK26,sK22),
inference(superposition,[status(thm)],[c_4300,c_56]) ).
tcf(c_5961,plain,
perp(sK22,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_5950,c_56]) ).
tcf(c_5979,plain,
perp(sK21,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_5958,c_55]) ).
tcf(c_5981,plain,
perp(sK20,sK23,sK21,sK25),
inference(superposition,[status(thm)],[c_5959,c_55]) ).
tcf(c_5983,plain,
perp(sK20,sK23,sK22,sK26),
inference(superposition,[status(thm)],[c_5960,c_55]) ).
tcf(c_6024,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_4303,c_51]) ).
tcf(c_6025,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4301,c_51]) ).
tcf(c_6026,plain,
! [X0: $i] :
( coll(sK23,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_4299,c_51]) ).
tcf(c_6027,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5866,c_51]) ).
tcf(c_6028,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_5867,c_51]) ).
tcf(c_6029,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(superposition,[status(thm)],[c_5868,c_51]) ).
tcf(c_6030,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_5873,c_51]) ).
tcf(c_6031,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_5874,c_51]) ).
tcf(c_6034,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_5886,c_51]) ).
tcf(c_6035,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_5888,c_51]) ).
tcf(c_6037,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_5893,c_51]) ).
tcf(c_6042,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_5903,c_51]) ).
tcf(c_6046,plain,
! [X0: $i] :
( coll(sK27,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_5933,c_51]) ).
tcf(c_6047,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_5941,c_51]) ).
tcf(c_6096,plain,
( coll(sK27,sK20,sK21)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6047]) ).
tcf(c_6112,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_6029]) ).
tcf(c_6113,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_6028]) ).
tcf(c_6128,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_4303,c_6024]) ).
tcf(c_6129,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6128,c_51]) ).
tcf(c_6131,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_6128,c_49]) ).
tcf(c_6139,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_4301,c_6025]) ).
tcf(c_6142,plain,
coll(sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_6139,c_49]) ).
tcf(c_6161,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_6142,c_51]) ).
tcf(c_6171,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5866,c_6027]) ).
tcf(c_6208,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6171,c_49]) ).
tcf(c_6216,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5867,c_6028]) ).
tcf(c_6218,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6216,c_51]) ).
tcf(c_6220,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6216,c_49]) ).
tcf(c_6228,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5868,c_6029]) ).
tcf(c_6229,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6228,c_51]) ).
tcf(c_6231,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6228,c_49]) ).
tcf(c_6239,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5873,c_6030]) ).
tcf(c_6240,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6239,c_51]) ).
tcf(c_6242,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_6239,c_49]) ).
tcf(c_6250,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_5874,c_6031]) ).
tcf(c_6286,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_6208,c_50]) ).
tcf(c_6292,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6220,c_51]) ).
tcf(c_6298,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6292]) ).
tcf(c_6300,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6231,c_51]) ).
tcf(c_6307,plain,
( cong(sK27,sK22,sK27,sK21)
| ~ midp(sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6356,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,X1)
| ~ midp(sK27,sK22,sK21)
| ~ midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6371,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_5886,c_6034]) ).
tcf(c_6372,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_6131,c_6034]) ).
tcf(c_6395,plain,
! [X0: $i,X1: $i] :
( para(sK27,X0,sK21,X1)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_4298,c_93]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i] :
( para(sK27,X0,sK22,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_5880,c_93]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_4298,c_112]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK22,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_5880,c_112]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ midp(sK27,sK22,sK21)
| ~ para(sK22,X1,sK21,X0)
| ~ para(sK22,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6444,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_6286,c_51]) ).
tcf(c_6450,plain,
( coll(sK21,sK20,sK24)
| ~ coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6444]) ).
tcf(c_6464,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK27,X0)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6395,c_53]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK22,X0)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_6417,c_53]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,X1,sK21)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_6417,c_52]) ).
tcf(c_6524,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,X0,sK27)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6464,c_52]) ).
tcf(c_6679,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6372,c_51]) ).
tcf(c_6684,plain,
( coll(sK22,sK20,sK21)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6679]) ).
tcf(c_6708,plain,
( cong(sK24,sK21,sK24,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_4304,c_104]) ).
tcf(c_6710,plain,
( cong(sK26,sK20,sK26,sK23)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_4300,c_104]) ).
tcf(c_6717,plain,
( cong(sK22,sK24,sK22,sK20)
| ~ midp(sK21,sK24,sK20) ),
inference(superposition,[status(thm)],[c_5961,c_104]) ).
tcf(c_6856,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4304,c_57]) ).
tcf(c_6862,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5958,c_57]) ).
tcf(c_6863,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK23,X0,X1)
| ~ perp(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5959,c_57]) ).
tcf(c_6980,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ midp(sK27,sK21,sK22)
| ~ para(sK21,X1,sK22,X0)
| ~ para(sK21,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6981,plain,
( midp(sK27,sK20,sK20)
| ~ midp(sK27,sK21,sK22)
| ~ para(sK21,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6980]) ).
tcf(c_6984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6(sK21,sK22,X1,X2,sK27,X0,X3),sK21,X3)
| ~ midp(sK27,sK21,sK22)
| ~ coll(X2,sK21,sK22)
| ~ coll(X1,sK21,sK22)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_6999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,X3,X1,X2)
| ~ midp(sK27,X3,X0)
| ~ perp(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6417,c_58]) ).
tcf(c_7064,plain,
( cong(sK24,sK22,sK24,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6708,c_72]) ).
tcf(c_7091,plain,
! [X0: $i] :
( circle(sK27,sK22,X0,sK21)
| ~ cong(sK27,sK22,sK27,sK21)
| ~ cong(sK27,sK22,sK27,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_7120,plain,
( cong(sK26,sK23,sK26,sK20)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_6710,c_72]) ).
tcf(c_7137,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_5958,c_6856]) ).
tcf(c_7152,plain,
coll(sK24,sK27,sK21),
inference(superposition,[status(thm)],[c_5941,c_6037]) ).
tcf(c_7162,plain,
! [X0: $i] :
( circle(sK24,sK21,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK24,sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6708,c_60]) ).
tcf(c_7164,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK23)
| ~ midp(sK22,sK20,sK23)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6710,c_60]) ).
tcf(c_7195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(sK24,sK20,sK22,sK21)
| ~ eqangle(X0,X1,X2,X3,sK24,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_7208,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK21,X0,X1)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6708,c_73]) ).
tcf(c_7210,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK22,sK20,sK23)
| ~ cong(sK26,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6710,c_73]) ).
tcf(c_7274,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_7137,c_115]) ).
tcf(c_7373,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4307,c_66]) ).
tcf(c_7407,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_4307,c_67]) ).
tcf(c_7408,plain,
eqangle(sK21,sK22,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_4306,c_67]) ).
tcf(c_7409,plain,
eqangle(sK22,sK20,sK23,sK22,sK22,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_4305,c_67]) ).
tcf(c_7465,plain,
eqangle(sK21,sK20,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_7407,c_66]) ).
tcf(c_7466,plain,
para(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7407,c_87]) ).
tcf(c_7469,plain,
para(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7408,c_87]) ).
tcf(c_7472,plain,
para(sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7409,c_87]) ).
tcf(c_7504,plain,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4307,c_68]) ).
tcf(c_7505,plain,
eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_4306,c_68]) ).
tcf(c_7506,plain,
eqangle(sK23,sK22,sK22,sK21,sK23,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_4305,c_68]) ).
tcf(c_7507,plain,
eqangle(sK23,sK20,sK20,sK22,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_7373,c_68]) ).
tcf(c_7544,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_4307,c_69]) ).
tcf(c_7546,plain,
eqangle(sK23,sK22,sK23,sK22,sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_4305,c_69]) ).
tcf(c_7550,plain,
eqangle(sK20,sK21,sK20,sK22,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7407,c_69]) ).
tcf(c_7608,plain,
coll(sK24,sK21,sK27),
inference(superposition,[status(thm)],[c_7152,c_49]) ).
tcf(c_7661,plain,
para(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7466,c_53]) ).
tcf(c_7663,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7466,c_115]) ).
tcf(c_7692,plain,
( para(sK22,sK21,sK21,sK22)
| ~ midp(sK27,sK22,sK21)
| ~ midp(sK27,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6356]) ).
tcf(c_7758,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_7274,c_50]) ).
tcf(c_7789,plain,
para(sK21,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7469,c_53]) ).
tcf(c_7791,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7469,c_115]) ).
tcf(c_7812,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK20,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7472,c_58]) ).
tcf(c_7815,plain,
para(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7472,c_52]) ).
tcf(c_7816,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7472,c_115]) ).
tcf(c_7856,plain,
para(sK21,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7465,c_87]) ).
tcf(c_8140,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK27,X1,sK21)
| ~ midp(X0,sK22,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6395,c_94]) ).
tcf(c_8141,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK22,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6417,c_94]) ).
tcf(c_8142,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK27,X1,sK22)
| ~ midp(X0,sK21,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6396,c_94]) ).
tcf(c_8143,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK21,X1,sK22)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6418,c_94]) ).
tcf(c_8144,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK21,X1,sK27)
| ~ midp(X2,sK22,X0)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6464,c_94]) ).
tcf(c_8146,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK21,X1,sK22)
| ~ midp(sK27,X2,X0)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6476,c_94]) ).
tcf(c_8147,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK21)
| ~ midp(sK22,X1,X2)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6477,c_94]) ).
tcf(c_8158,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7466,c_94]) ).
tcf(c_8234,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8158]) ).
tcf(c_8391,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK22,X1)
| ~ coll(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8392,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8391]) ).
tcf(c_8753,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_7608,c_51]) ).
tcf(c_8765,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7663,c_50]) ).
tcf(c_8766,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7663,c_49]) ).
tcf(c_9175,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_7758,c_49]) ).
tcf(c_9205,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_7791,c_51]) ).
tcf(c_9206,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7791,c_50]) ).
tcf(c_9208,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_7791,c_6037]) ).
tcf(c_9211,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9205]) ).
tcf(c_9354,plain,
( midp(sK24,sK22,sK21)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7064,c_116]) ).
tcf(c_9361,plain,
( midp(sK24,sK22,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9354,c_5866]) ).
tcf(c_9463,plain,
! [X0: $i] :
( midp(X0,sK21,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7466,c_113]) ).
tcf(c_9464,plain,
! [X0: $i] :
( midp(X0,sK22,sK20)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7469,c_113]) ).
tcf(c_9541,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK20,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_9464]) ).
tcf(c_9542,plain,
( midp(sK20,sK21,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9463]) ).
tcf(c_9601,plain,
( para(sK23,sK22,sK23,sK22)
| ~ para(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7546,c_122]) ).
tcf(c_9665,plain,
para(sK23,sK22,sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_9601,c_7472]) ).
tcf(c_9820,plain,
( perp(sK23,sK22,sK23,sK22)
| ~ perp(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7546,c_123]) ).
tcf(c_10138,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_5933,c_6046]) ).
tcf(c_10313,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_8766,c_51]) ).
tcf(c_10318,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_10313]) ).
tcf(c_10412,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5950,c_6862]) ).
tcf(c_10452,plain,
coll(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_7791,c_6047]) ).
tcf(c_10600,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_4302,c_6863]) ).
tcf(c_10603,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_10600,c_94]) ).
tcf(c_10991,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9206,c_51]) ).
tcf(c_10994,plain,
coll(sK27,sK20,sK22),
inference(superposition,[status(thm)],[c_9206,c_6046]) ).
tcf(c_10995,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_9206,c_6042]) ).
tcf(c_10998,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_10991]) ).
tcf(c_11001,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_9208,c_49]) ).
tcf(c_11190,plain,
coll(sK27,sK22,sK27),
inference(superposition,[status(thm)],[c_10138,c_49]) ).
tcf(c_11403,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ para(sK22,sK21,sK21,sK22)
| ~ para(sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_11417,plain,
( para(sK22,sK21,sK20,sK20)
| ~ para(sK22,sK21,sK21,sK22)
| ~ para(sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11403]) ).
tcf(c_11485,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_10452,c_49]) ).
tcf(c_11852,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_10994,c_49]) ).
tcf(c_11867,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_10995,c_49]) ).
tcf(c_11890,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_11001,c_6024]) ).
tcf(c_11911,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_11890,c_49]) ).
tcf(c_12140,plain,
( circle(sK24,sK21,sK22,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6708,c_7162]) ).
tcf(c_12165,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK24,sK21,sK22) ),
inference(superposition,[status(thm)],[c_12140,c_102]) ).
tcf(c_12166,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12165,c_4303]) ).
tcf(c_12208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4307,c_70]) ).
tcf(c_12218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK21,sK21,sK20,X0,X1,X2,X3)
| ~ eqangle(sK23,sK21,sK21,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7505,c_70]) ).
tcf(c_12219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK22,sK22,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK22,sK22,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7506,c_70]) ).
tcf(c_12220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK21,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7544,c_70]) ).
tcf(c_12568,plain,
! [X0: $i] :
( coll(sK27,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_11190,c_51]) ).
tcf(c_12600,plain,
! [X0: $i] :
( cong(sK21,X0,sK22,X0)
| ~ midp(sK20,sK21,sK22)
| ~ midp(X0,sK21,sK22) ),
inference(superposition,[status(thm)],[c_12166,c_101]) ).
tcf(c_12637,plain,
( cong(sK21,sK20,sK22,sK20)
| ~ midp(sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_12600]) ).
tcf(c_12656,plain,
! [X0: $i,X1: $i] :
( coll(sK22,X0,X1)
| ~ coll(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_12657,plain,
( coll(sK22,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_12656]) ).
tcf(c_12671,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7504,c_12208]) ).
tcf(c_12672,plain,
eqangle(sK23,sK20,sK20,sK21,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_7507,c_12208]) ).
tcf(c_12744,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_12671,c_67]) ).
tcf(c_12753,plain,
eqangle(sK20,sK23,sK20,sK21,sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_12672,c_66]) ).
tcf(c_13315,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_11485,c_51]) ).
tcf(c_13321,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_13315]) ).
tcf(c_13550,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X1,X0)
| ~ midp(sK20,sK21,sK22)
| ~ midp(X1,sK21,sK22)
| ~ cong(sK21,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_12600,c_105]) ).
tcf(c_13567,plain,
( perp(sK21,sK22,sK20,sK20)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK21,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13550]) ).
tcf(c_13708,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_9175,c_6218]) ).
tcf(c_14263,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_11867,c_6027]) ).
tcf(c_15360,plain,
( circle(sK27,sK22,sK21,sK21)
| ~ cong(sK27,sK22,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_7091]) ).
tcf(c_15921,plain,
( cong(sK24,sK21,sK24,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7064,c_7208]) ).
tcf(c_16028,plain,
coll(sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_13708,c_49]) ).
tcf(c_16097,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7120,c_7210]) ).
tcf(c_16372,plain,
coll(sK23,sK24,sK25),
inference(superposition,[status(thm)],[c_16028,c_6025]) ).
tcf(c_16449,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK24,X0) ),
inference(superposition,[status(thm)],[c_16372,c_51]) ).
tcf(c_17242,plain,
! [X0: $i] :
( midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,X0),sK21,X0)
| ~ midp(sK27,sK22,sK21)
| ~ midp(sK27,sK21,sK22)
| ~ coll(sK22,sK21,sK22)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6984]) ).
tcf(c_17243,plain,
( midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,sK20),sK21,sK20)
| ~ midp(sK27,sK22,sK21)
| ~ midp(sK27,sK21,sK22)
| ~ coll(sK22,sK21,sK22)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_17242]) ).
tcf(c_17394,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X0,X1)
| ~ para(sK21,sK22,sK22,sK21)
| ~ perp(sK22,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_18011,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK27,sK21,sK22) ),
inference(superposition,[status(thm)],[c_8765,c_8141]) ).
tcf(c_18612,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18011,c_5880]) ).
tcf(c_18785,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK21,X1,X0,X2)
| ~ midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,X0),sK21,X0)
| ~ midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_20380,plain,
eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_4306,c_12218]) ).
tcf(c_20407,plain,
eqangle(sK21,sK20,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_20380,c_67]) ).
tcf(c_20456,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_20407,c_87]) ).
tcf(c_20480,plain,
eqangle(sK23,sK22,sK22,sK21,sK23,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_4305,c_12219]) ).
tcf(c_20522,plain,
eqangle(sK23,sK22,sK23,sK22,sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_20480,c_69]) ).
tcf(c_20679,plain,
( perp(sK23,sK22,sK23,sK22)
| ~ perp(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_20522,c_123]) ).
tcf(c_20756,plain,
eqangle(sK23,sK20,sK23,sK20,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7550,c_12220]) ).
tcf(c_21893,plain,
( perp(sK22,sK21,sK21,sK21)
| ~ coll(sK27,sK22,sK21)
| ~ circle(sK27,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_24028,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7661,c_94]) ).
tcf(c_24047,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24028]) ).
tcf(c_24105,plain,
para(sK21,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7789,c_52]) ).
tcf(c_24718,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7815,c_94]) ).
tcf(c_24721,plain,
para(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7815,c_53]) ).
tcf(c_24735,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_24718]) ).
tcf(c_24742,plain,
para(sK21,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7856,c_52]) ).
tcf(c_25553,plain,
coll(sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_9665,c_115]) ).
tcf(c_25565,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_25553,c_50]) ).
tcf(c_25583,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_25565,c_49]) ).
tcf(c_25602,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_25583,c_6240]) ).
tcf(c_25603,plain,
coll(sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_25583,c_6129]) ).
tcf(c_25619,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_25602,c_49]) ).
tcf(c_25638,plain,
coll(sK23,sK24,sK22),
inference(superposition,[status(thm)],[c_25603,c_50]) ).
tcf(c_26044,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_25619,c_6047]) ).
tcf(c_26213,plain,
coll(sK23,sK27,sK21),
inference(superposition,[status(thm)],[c_26044,c_50]) ).
tcf(c_26417,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_20456,c_115]) ).
tcf(c_26624,plain,
coll(sK23,sK21,sK27),
inference(superposition,[status(thm)],[c_26213,c_49]) ).
tcf(c_26988,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_26417,c_50]) ).
tcf(c_27482,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_26988,c_49]) ).
tcf(c_27840,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_27482,c_6229]) ).
tcf(c_28449,plain,
coll(sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_27840,c_49]) ).
tcf(c_29040,plain,
coll(sK23,sK21,sK26),
inference(superposition,[status(thm)],[c_28449,c_6026]) ).
tcf(c_29119,plain,
! [X0: $i] :
( coll(sK26,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_29040,c_51]) ).
tcf(c_29623,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_12744,c_87]) ).
tcf(c_29926,plain,
( cyclic(sK23,sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12753,c_91]) ).
tcf(c_29930,plain,
cyclic(sK23,sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_29926,c_27482]) ).
tcf(c_30815,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_25638,c_16449]) ).
tcf(c_31235,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_30815,c_49]) ).
tcf(c_31579,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_31235,c_50]) ).
tcf(c_31584,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_31235,c_6028]) ).
tcf(c_31715,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_31579,c_6161]) ).
tcf(c_31716,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_31579,c_6035]) ).
tcf(c_31730,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_31584,c_49]) ).
tcf(c_31880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,sK22,X2,X3)
| ~ perp(sK21,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_31884,plain,
( para(sK21,sK22,sK20,sK20)
| ~ perp(sK21,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31880]) ).
tcf(c_31944,plain,
( cyclic(sK20,sK20,sK23,sK23)
| ~ coll(sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_20756,c_91]) ).
tcf(c_31946,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK20,sK20,sK23,sK23) ),
inference(superposition,[status(thm)],[c_20756,c_92]) ).
tcf(c_31953,plain,
cyclic(sK20,sK20,sK23,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_31944,c_6250]) ).
tcf(c_31961,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK23,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31946,c_31953]) ).
tcf(c_31967,plain,
cyclic(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_31953,c_63]) ).
tcf(c_32049,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_31730,c_6292]) ).
tcf(c_32060,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK24,sK20)
| ~ para(sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_32062,plain,
( para(sK20,sK20,sK24,sK20)
| ~ para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32060]) ).
tcf(c_32064,plain,
( perp(sK21,sK22,sK21,sK21)
| ~ perp(sK22,sK21,sK21,sK21)
| ~ para(sK21,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_17394]) ).
tcf(c_32190,plain,
( midp(sK23,sK22,sK23)
| ~ midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_31715,c_10603]) ).
tcf(c_32523,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_31716,c_50]) ).
tcf(c_32572,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_32049,c_49]) ).
tcf(c_32803,plain,
coll(sK26,sK27,sK23),
inference(superposition,[status(thm)],[c_26624,c_29119]) ).
tcf(c_33315,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK27)
| ~ midp(sK21,X1,X2)
| ~ midp(X2,sK22,X0)
| ~ coll(X0,X1,sK27) ),
inference(superposition,[status(thm)],[c_6524,c_94]) ).
tcf(c_33352,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK21,sK20,sK20)
| ~ midp(sK20,sK22,sK20)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_33315]) ).
tcf(c_33599,plain,
( midp(sK22,sK20,sK23)
| ~ midp(sK22,sK22,sK23)
| ~ midp(sK27,sK20,sK21) ),
inference(superposition,[status(thm)],[c_32523,c_8140]) ).
tcf(c_34768,plain,
coll(sK26,sK23,sK27),
inference(superposition,[status(thm)],[c_32803,c_49]) ).
tcf(c_34873,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK22,sK21,sK24,sK20,sK22,sK21)
| ~ para(X0,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_34874,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK21)
| ~ perp(sK24,sK20,sK22,sK21)
| ~ eqangle(X0,X1,sK22,sK21,sK24,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_7195]) ).
tcf(c_34875,plain,
( eqangle(sK20,sK20,sK22,sK21,sK24,sK20,sK22,sK21)
| ~ para(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_34873]) ).
tcf(c_34876,plain,
( perp(sK20,sK20,sK22,sK21)
| ~ perp(sK24,sK20,sK22,sK21)
| ~ eqangle(sK20,sK20,sK22,sK21,sK24,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_34874]) ).
tcf(c_35420,plain,
coll(sK20,sK27,sK26),
inference(superposition,[status(thm)],[c_34768,c_6029]) ).
tcf(c_35587,plain,
coll(sK20,sK26,sK27),
inference(superposition,[status(thm)],[c_35420,c_49]) ).
tcf(c_36460,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_35587,c_6300]) ).
tcf(c_37498,plain,
! [X0: $i] :
( para(sK21,sK21,X0,X0)
| ~ midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,X0),sK21,X0) ),
inference(instantiation,[status(thm)],[c_18785]) ).
tcf(c_37499,plain,
( para(sK21,sK21,sK20,sK20)
| ~ midp(sK6(sK21,sK22,sK22,sK21,sK27,sK27,sK20),sK21,sK20) ),
inference(instantiation,[status(thm)],[c_37498]) ).
tcf(c_37798,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_36460,c_49]) ).
tcf(c_38123,plain,
( circle(sK24,sK21,sK21,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_15921,c_7162]) ).
tcf(c_38419,plain,
( circle(sK26,sK20,sK20,sK23)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_16097,c_7164]) ).
tcf(c_39211,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_24105,c_94]) ).
tcf(c_39233,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_39211]) ).
tcf(c_39307,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_24721,c_94]) ).
tcf(c_39331,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39307]) ).
tcf(c_39998,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_29623,c_113]) ).
tcf(c_40008,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39998,c_29623]) ).
tcf(c_40011,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40008]) ).
tcf(c_40015,plain,
cyclic(sK21,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_29930,c_64]) ).
tcf(c_40316,plain,
cyclic(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_31967,c_64]) ).
tcf(c_40394,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK24,sK21,sK22) ),
inference(superposition,[status(thm)],[c_38123,c_102]) ).
tcf(c_40395,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40394,c_4303]) ).
tcf(c_40402,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ midp(sK20,sK21,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_40395,c_57]) ).
tcf(c_40404,plain,
( perp(sK21,sK22,sK21,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_40395,c_56]) ).
tcf(c_40410,plain,
! [X0: $i] :
( cong(sK21,X0,sK21,X0)
| ~ midp(sK20,sK21,sK22)
| ~ midp(X0,sK21,sK22) ),
inference(superposition,[status(thm)],[c_40395,c_101]) ).
tcf(c_40533,plain,
perp(sK21,sK22,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_40404,c_172,c_5885,c_6307,c_10412,c_15360,c_21893,c_32064]) ).
tcf(c_40537,plain,
perp(sK21,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_40533,c_56]) ).
tcf(c_40539,plain,
para(sK24,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_40533,c_6856]) ).
tcf(c_40556,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,X0,X1)
| ~ para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_40539,c_54]) ).
tcf(c_40569,plain,
( para(sK24,sK20,sK20,sK20)
| ~ para(sK21,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40556]) ).
tcf(c_40616,plain,
! [X0: $i] :
( midp(sK21,X0,X0)
| ~ midp(sK20,sK21,sK22)
| ~ midp(X0,sK21,sK22)
| ~ coll(sK21,X0,X0) ),
inference(superposition,[status(thm)],[c_40410,c_116]) ).
tcf(c_40721,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40616]) ).
tcf(c_40885,plain,
! [X0: $i] :
( cyclic(sK23,sK20,sK20,X0)
| ~ cyclic(sK21,sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_40015,c_65]) ).
tcf(c_40893,plain,
( cyclic(sK23,sK20,sK20,sK20)
| ~ cyclic(sK21,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40885]) ).
tcf(c_41029,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK23,X0)
| ~ cyclic(sK23,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_40316,c_65]) ).
tcf(c_41038,plain,
( cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_41029]) ).
tcf(c_41089,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_40402,c_178,c_6220,c_6298,c_7661,c_9542,c_31961,c_40015,c_40402,c_40893,c_41038]) ).
tcf(c_41097,plain,
para(sK21,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_5979,c_41089]) ).
tcf(c_41764,plain,
perp(sK21,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_40537,c_55]) ).
tcf(c_41908,plain,
! [X0: $i] :
( midp(sK21,X0,sK24)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_41097,c_94]) ).
tcf(c_41933,plain,
( midp(sK21,sK20,sK24)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_41908]) ).
tcf(c_42140,plain,
( midp(sK24,sK22,sK21)
| ~ midp(sK27,sK22,sK22)
| ~ midp(sK24,sK21,sK21) ),
inference(superposition,[status(thm)],[c_5866,c_8142]) ).
tcf(c_44211,plain,
! [X0: $i] :
( midp(sK27,X0,sK27)
| ~ midp(sK27,sK22,sK21)
| ~ para(sK22,sK27,sK21,X0)
| ~ para(sK22,X0,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_6440]) ).
tcf(c_44212,plain,
( midp(sK27,sK20,sK27)
| ~ midp(sK27,sK22,sK21)
| ~ para(sK22,sK20,sK21,sK27)
| ~ para(sK22,sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_44211]) ).
tcf(c_45263,plain,
! [X0: $i] :
( perp(sK22,X0,sK22,sK21)
| ~ midp(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_41764,c_6999]) ).
tcf(c_45386,plain,
midp(sK24,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_42140,c_178,c_6220,c_6298,c_7661,c_9361,c_9542,c_31961,c_40015,c_40893,c_41038]) ).
tcf(c_45447,plain,
( midp(sK22,sK24,sK21)
| ~ midp(sK21,sK24,sK22)
| ~ midp(sK27,sK22,sK21) ),
inference(superposition,[status(thm)],[c_5886,c_8143]) ).
tcf(c_45466,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK27,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7816,c_8143]) ).
tcf(c_47224,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45466,c_4298]) ).
tcf(c_47275,plain,
( midp(sK22,sK24,sK21)
| ~ midp(sK21,sK24,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45447,c_4298]) ).
tcf(c_48039,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,sK27)
| ~ midp(sK22,X1,sK21)
| ~ midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_48040,plain,
( para(sK22,sK20,sK21,sK27)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_48039]) ).
tcf(c_48739,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK21,sK22,sK21)
| ~ perp(X0,X1,sK22,sK21)
| ~ para(sK22,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_48740,plain,
( perp(sK22,sK21,sK22,sK21)
| ~ perp(sK20,sK20,sK22,sK21)
| ~ para(sK22,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48739]) ).
tcf(c_54968,plain,
midp(sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_47224,c_178,c_6220,c_6298,c_6684,c_7791,c_24047,c_31961,c_40015,c_40893,c_41038]) ).
tcf(c_54970,plain,
midp(sK21,sK20,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_18612,c_54968]) ).
tcf(c_55037,plain,
( midp(sK21,sK22,sK24)
| ~ midp(sK21,sK22,sK27)
| ~ midp(sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_5893,c_8144]) ).
tcf(c_55074,plain,
( midp(sK21,sK20,sK24)
| ~ midp(sK21,sK20,sK27)
| ~ midp(sK24,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14263,c_8144]) ).
tcf(c_56724,plain,
( midp(sK21,sK20,sK24)
| ~ midp(sK21,sK20,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55074,c_45386]) ).
tcf(c_56817,plain,
( midp(sK21,sK22,sK24)
| ~ midp(sK21,sK22,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55037,c_45386]) ).
tcf(c_59039,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK27,sK22,sK20) ),
inference(superposition,[status(thm)],[c_32572,c_8146]) ).
tcf(c_59093,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK27,sK27,sK20) ),
inference(superposition,[status(thm)],[c_37798,c_8146]) ).
tcf(c_60161,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK27,sK27,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59093,c_54970]) ).
tcf(c_60281,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK27,sK22,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59039,c_54970]) ).
tcf(c_61756,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK27,sK21,X1)
| ~ midp(sK22,X0,sK21)
| ~ midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_61757,plain,
( para(sK22,sK27,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61756]) ).
tcf(c_62280,plain,
coll(sK27,sK20,sK24),
inference(superposition,[status(thm)],[c_11001,c_8753]) ).
tcf(c_62304,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_62280,c_50]) ).
tcf(c_62466,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_62304,c_49]) ).
tcf(c_62604,plain,
( midp(sK20,sK24,sK27)
| ~ midp(sK22,sK24,sK21)
| ~ midp(sK27,sK20,sK27) ),
inference(superposition,[status(thm)],[c_62466,c_8141]) ).
tcf(c_64449,plain,
midp(sK21,sK20,sK24),
inference(global_subsumption_just,[status(thm)],[c_56724,c_178,c_6220,c_6298,c_6450,c_7661,c_8392,c_9206,c_9542,c_10318,c_10998,c_11001,c_31961,c_40015,c_40721,c_40893,c_41038,c_41933]) ).
tcf(c_64454,plain,
midp(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_64449,c_59]) ).
tcf(c_64459,plain,
cong(sK22,sK24,sK22,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_6717,c_64454]) ).
tcf(c_64539,plain,
( midp(sK22,sK24,sK20)
| ~ coll(sK22,sK24,sK20) ),
inference(superposition,[status(thm)],[c_64459,c_116]) ).
tcf(c_64550,plain,
midp(sK22,sK24,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_64539,c_11911]) ).
tcf(c_65458,plain,
midp(sK20,sK20,sK27),
inference(global_subsumption_just,[status(thm)],[c_60161,c_178,c_6220,c_6298,c_7661,c_7789,c_8392,c_9206,c_9541,c_9542,c_10318,c_10998,c_11485,c_13321,c_31961,c_33352,c_40011,c_40015,c_40721,c_40893,c_41038]) ).
tcf(c_65463,plain,
midp(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_65458,c_59]) ).
tcf(c_65794,plain,
midp(sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_60281,c_178,c_6220,c_6298,c_6684,c_7791,c_9206,c_10998,c_24047,c_24735,c_31961,c_40015,c_40893,c_41038]) ).
tcf(c_65799,plain,
midp(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_65794,c_59]) ).
tcf(c_65804,plain,
midp(sK23,sK22,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_32190,c_65799]) ).
tcf(c_66052,plain,
midp(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_65804,c_59]) ).
tcf(c_66770,plain,
( midp(sK21,sK27,sK22)
| ~ midp(sK20,sK27,sK20) ),
inference(superposition,[status(thm)],[c_5930,c_8158]) ).
tcf(c_66783,plain,
midp(sK21,sK27,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_66770,c_65463]) ).
tcf(c_66940,plain,
midp(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_66783,c_59]) ).
tcf(c_66945,plain,
midp(sK21,sK22,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_56817,c_66940]) ).
tcf(c_66998,plain,
midp(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_66945,c_59]) ).
tcf(c_67011,plain,
midp(sK22,sK24,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_47275,c_66998]) ).
tcf(c_69357,plain,
( perp(sK20,sK20,sK20,sK23)
| ~ midp(sK22,sK20,sK23)
| ~ coll(sK26,sK20,sK23) ),
inference(superposition,[status(thm)],[c_38419,c_102]) ).
tcf(c_69358,plain,
( perp(sK20,sK20,sK20,sK23)
| ~ midp(sK22,sK20,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69357,c_4299]) ).
tcf(c_69365,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK22,sK20,sK23)
| ~ perp(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_69358,c_57]) ).
tcf(c_70038,plain,
( para(sK20,sK20,sK21,sK25)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_5981,c_69365]) ).
tcf(c_70039,plain,
( para(sK20,sK20,sK22,sK26)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_5983,c_69365]) ).
tcf(c_73810,plain,
( perp(sK23,sK22,sK23,sK22)
| ~ midp(sK27,sK20,sK21) ),
inference(superposition,[status(thm)],[c_45263,c_9820]) ).
tcf(c_74091,plain,
coll(sK27,sK20,sK27),
inference(superposition,[status(thm)],[c_11852,c_12568]) ).
tcf(c_74116,plain,
( midp(sK27,sK20,sK27)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK27,sK27,sK27) ),
inference(superposition,[status(thm)],[c_74091,c_8141]) ).
tcf(c_74128,plain,
( midp(sK27,sK20,sK27)
| ~ midp(sK27,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74116,c_54968]) ).
tcf(c_74173,plain,
midp(sK27,sK20,sK27),
inference(global_subsumption_just,[status(thm)],[c_74128,c_172,c_178,c_5880,c_6220,c_6298,c_6684,c_6981,c_7661,c_7791,c_7789,c_8392,c_9206,c_9541,c_9542,c_10318,c_10998,c_11485,c_13321,c_24047,c_24742,c_31961,c_33352,c_40011,c_40015,c_40721,c_40893,c_41038,c_44212,c_48040,c_61757]) ).
tcf(c_74178,plain,
midp(sK27,sK27,sK20),
inference(superposition,[status(thm)],[c_74173,c_59]) ).
tcf(c_74197,plain,
! [X0: $i] :
( midp(sK27,X0,sK21)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_74178,c_8147]) ).
tcf(c_74209,plain,
( midp(sK27,sK20,sK21)
| ~ midp(sK22,sK20,sK20)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_74197]) ).
tcf(c_77025,plain,
! [X0: $i] :
( midp(sK20,X0,sK25)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_70038,c_94]) ).
tcf(c_77047,plain,
( midp(sK20,sK20,sK25)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_77025]) ).
tcf(c_77054,plain,
! [X0: $i] :
( midp(sK20,X0,sK26)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_70039,c_94]) ).
tcf(c_77076,plain,
( midp(sK20,sK20,sK26)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_77054]) ).
tcf(c_77203,plain,
! [X0: $i] :
( cyclic(sK24,sK25,sK26,sK27)
| ~ cong(X0,sK24,X0,sK27)
| ~ cong(X0,sK24,X0,sK26)
| ~ cong(X0,sK24,X0,sK25) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_77204,plain,
( cyclic(sK24,sK25,sK26,sK27)
| ~ cong(sK20,sK24,sK20,sK27)
| ~ cong(sK20,sK24,sK20,sK26)
| ~ cong(sK20,sK24,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_77203]) ).
tcf(c_78450,plain,
perp(sK23,sK22,sK23,sK22),
inference(global_subsumption_just,[status(thm)],[c_73810,c_172,c_178,c_187,c_5880,c_5950,c_6220,c_6242,c_6298,c_6371,c_7661,c_7692,c_9542,c_11417,c_12637,c_13567,c_17243,c_20679,c_31884,c_31961,c_32062,c_34875,c_34876,c_37499,c_40015,c_40569,c_40893,c_41038,c_48740]) ).
tcf(c_78455,plain,
perp(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_78450,c_55]) ).
tcf(c_78568,plain,
perp(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_78455,c_56]) ).
tcf(c_78661,plain,
( cong(sK22,sK23,sK22,sK22)
| ~ midp(sK23,sK23,sK22) ),
inference(superposition,[status(thm)],[c_78568,c_104]) ).
tcf(c_78671,plain,
cong(sK22,sK23,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_78661,c_66052]) ).
tcf(c_78698,plain,
( midp(sK22,sK23,sK22)
| ~ coll(sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_78671,c_116]) ).
tcf(c_78709,plain,
midp(sK22,sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_78698,c_25565]) ).
tcf(c_78766,plain,
midp(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_78709,c_59]) ).
tcf(c_81519,plain,
perp(sK22,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_5961,c_7812]) ).
tcf(c_81541,plain,
perp(sK24,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_81519,c_56]) ).
tcf(c_81564,plain,
perp(sK24,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_81541,c_55]) ).
tcf(c_81684,plain,
perp(sK20,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_81564,c_56]) ).
tcf(c_81765,plain,
( cong(sK20,sK24,sK20,sK20)
| ~ midp(sK22,sK24,sK20) ),
inference(superposition,[status(thm)],[c_81684,c_104]) ).
tcf(c_81769,plain,
cong(sK20,sK24,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_81765,c_64550]) ).
tcf(c_85717,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK24,X0,sK25)
| ~ cong(X1,X2,X0,sK25)
| ~ cong(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_85718,plain,
( cong(sK20,sK24,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_85717]) ).
tcf(c_98311,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK24,X0,sK26)
| ~ cong(X1,X2,X0,sK26)
| ~ cong(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_98312,plain,
( cong(sK20,sK24,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK26)
| ~ cong(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_98311]) ).
tcf(c_99746,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK27)
| ~ midp(X0,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_99747,plain,
( cong(sK20,sK24,sK20,sK27)
| ~ midp(sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_99746]) ).
tcf(c_102626,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK25)
| ~ midp(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_102627,plain,
( cong(sK20,sK20,sK20,sK25)
| ~ midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_102626]) ).
tcf(c_103909,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK26)
| ~ midp(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_103910,plain,
( cong(sK20,sK20,sK20,sK26)
| ~ midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_103909]) ).
tcf(c_103911,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_103910,c_102627,c_99747,c_98312,c_85718,c_81769,c_78766,c_77204,c_77076,c_77047,c_74209,c_67011,c_62604,c_61757,c_48040,c_44212,c_41038,c_40893,c_40721,c_40015,c_40011,c_39331,c_39233,c_33599,c_33352,c_31961,c_24742,c_24735,c_24047,c_13321,c_12657,c_11485,c_10998,c_10318,c_9542,c_9541,c_9211,c_9206,c_8765,c_8392,c_8234,c_7789,c_7791,c_7661,c_6981,c_6684,c_6298,c_6220,c_6113,c_6112,c_6096,c_5880,c_5867,c_5868,c_178,c_162,c_172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO580+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 12:33:34 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 37.02/6.80 % SZS status Started for theBenchmark.p
% 37.02/6.80 % SZS status Theorem for theBenchmark.p
% 37.02/6.80
% 37.02/6.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.02/6.80
% 37.02/6.80 % ------ iProver source info
% 37.02/6.80
% 37.02/6.80 % git: date: 2026-07-19 20:42:38 +0200
% 37.02/6.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.02/6.80 % git: non_committed_changes: false
% 37.02/6.80
% 37.02/6.80 % ------ Parsing...
% 37.02/6.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.02/6.80
% 37.02/6.80 % ------ 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 %
% 37.02/6.80
% 37.02/6.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 37.02/6.80
% 37.02/6.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.02/6.80 % ------ Proving...
% 37.02/6.80 % ------ Problem Properties
% 37.02/6.80
% 37.02/6.80 %
% 37.02/6.80 % clauses 123
% 37.02/6.80 % conjectures 11
% 37.02/6.80 % EPR 86
% 37.02/6.80 % Horn 113
% 37.02/6.80 % unary 11
% 37.02/6.80 % binary 37
% 37.02/6.80 % lits 339
% 37.02/6.80 % lits eq 4
% 37.02/6.80 % fd_pure 0
% 37.02/6.80 % fd_pseudo 0
% 37.02/6.80 % fd_cond 0
% 37.02/6.80 % fd_pseudo_cond 4
% 37.02/6.80 % AC symbols 0
% 37.02/6.80
% 37.02/6.80 % ------ Schedule dynamic 5 is on
% 37.02/6.80
% 37.02/6.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 37.02/6.80
% 37.02/6.80
% 37.02/6.80 % ------
% 37.02/6.80 % Current options:
% 37.02/6.80 % ------
% 37.02/6.80
% 37.02/6.80
% 37.02/6.80 %
% 37.02/6.80
% 37.02/6.80 % ------ Proving...
% 37.02/6.80 %
% 37.02/6.80
% 37.02/6.80 % SZS status Theorem for theBenchmark.p
% 37.02/6.80
% 37.02/6.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.80/6.81
% 43.80/6.81
%------------------------------------------------------------------------------