%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO610+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:37 PM UTC 2026
% Result : Theorem 83.92s 13.39s
% Output : CNFRefutation 54.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f410ERROR: Could not build tree for root c_138631ERROR: MakeTreeStats fails)
% 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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ( eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
| eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
& ( eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
| eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
& ( eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
| eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
& ( eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
| eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
& ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& eqangle(X5,X4,X4,X6,X2,X4,X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ( eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
| eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
& ( eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
| eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
& ( eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
| eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
& ( eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
| eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
& ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& eqangle(X5,X4,X4,X6,X2,X4,X4,X1) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(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(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f166]) ).
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(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
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(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(flattening,[],[f212]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
| ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
| ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) ) ),
inference(flattening,[],[f249]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f234]) ).
fof(f273,plain,
! [X2,X1,X4,X6,X5] :
( ~ sP1(X2,X1,X4,X6,X5)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) ) ),
inference(nnf_transformation,[],[f252]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ( ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0)
& ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0) ) ),
inference(rectify,[],[f273]) ).
fof(f277,plain,
( coll(sK28,sK22,sK23)
& perp(sK28,sK26,sK22,sK23)
& coll(sK27,sK22,sK24)
& perp(sK27,sK26,sK22,sK24)
& circle(sK25,sK22,sK26,sK29)
& circle(sK25,sK22,sK23,sK24)
& ( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| sP0(sK23,sK26,sK24,sK28,sK27)
| sP1(sK24,sK23,sK26,sK28,sK27)
| ( ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
& ~ eqangle(sK26,sK27,sK27,sK28,sK24,sK26,sK26,sK23) )
| ( ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
& ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24) )
| ( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
& ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) )
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29)],[f253]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f283,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(f284,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f286,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(f287,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(f288,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f289,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(f290,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(f291,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f295,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(f296,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(f297,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(f298,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(f299,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(f300,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f302,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(f316,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(f317,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(f318,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f320,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(f321,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(f322,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f323,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(f324,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f167]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f342,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(f344,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f351,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(f352,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(f353,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f377,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f265]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f395,plain,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f277]) ).
fof(f396,plain,
perp(sK28,sK26,sK22,sK23),
inference(cnf_transformation,[],[f277]) ).
fof(f397,plain,
coll(sK27,sK22,sK24),
inference(cnf_transformation,[],[f277]) ).
fof(f398,plain,
perp(sK27,sK26,sK22,sK24),
inference(cnf_transformation,[],[f277]) ).
fof(f399,plain,
circle(sK25,sK22,sK26,sK29),
inference(cnf_transformation,[],[f277]) ).
fof(f400,plain,
circle(sK25,sK22,sK23,sK24),
inference(cnf_transformation,[],[f277]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
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,[],[f280]) ).
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,[],[f281]) ).
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,[],[f282]) ).
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,[],[f283]) ).
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,[],[f284]) ).
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,[],[f285]) ).
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,[],[f286]) ).
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,[],[f287]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
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,[],[f289]) ).
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,[],[f290]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f291]) ).
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,[],[f292]) ).
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,[],[f293]) ).
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,[],[f295]) ).
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,[],[f296]) ).
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,[],[f297]) ).
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,[],[f298]) ).
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,[],[f299]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
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,[],[f301]) ).
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,[],[f302]) ).
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,[],[f316]) ).
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,[],[f317]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f319]) ).
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,[],[f320]) ).
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,[],[f321]) ).
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,[],[f322]) ).
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,[],[f323]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f327]) ).
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,[],[f330]) ).
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,[],[f331]) ).
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,[],[f333]) ).
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,[],[f334]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f335]) ).
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,[],[f342]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f344]) ).
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,[],[f345]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(X0,X1,X1,X2,X3,X4,X4,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f348]) ).
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,[],[f351]) ).
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,[],[f352]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK13(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP1(X4,X3,X1,X2,X0)
| ~ eqangle(X0,X1,X1,X2,X1,X3,X3,X4) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_167,negated_conjecture,
( sP0(sK23,sK26,sK24,sK28,sK27)
| sP1(sK24,sK23,sK26,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_173,negated_conjecture,
( sP0(sK23,sK26,sK24,sK28,sK27)
| sP1(sK24,sK23,sK26,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_174,negated_conjecture,
circle(sK25,sK22,sK23,sK24),
inference(cnf_transformation,[],[f400]) ).
tcf(c_175,negated_conjecture,
circle(sK25,sK22,sK26,sK29),
inference(cnf_transformation,[],[f399]) ).
tcf(c_176,negated_conjecture,
perp(sK27,sK26,sK22,sK24),
inference(cnf_transformation,[],[f398]) ).
tcf(c_177,negated_conjecture,
coll(sK27,sK22,sK24),
inference(cnf_transformation,[],[f397]) ).
tcf(c_178,negated_conjecture,
perp(sK28,sK26,sK22,sK23),
inference(cnf_transformation,[],[f396]) ).
tcf(c_179,negated_conjecture,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f395]) ).
tcf(c_185,plain,
( midp(sK26,sK26,sK26)
| ~ coll(sK26,sK26,sK26)
| ~ cong(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_189,plain,
( eqangle(sK26,sK26,sK26,sK26,sK26,sK26,sK26,sK26)
| ~ para(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_196,plain,
( perp(sK26,sK26,sK26,sK26)
| ~ cong(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_245,plain,
( cong(sK26,sK26,sK26,sK26)
| ~ cyclic(sK26,sK26,sK26,sK26)
| ~ eqangle(sK26,sK26,sK26,sK26,sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_252,plain,
( sP0(sK23,sK26,sK24,sK28,sK27)
| sP1(sK24,sK23,sK26,sK28,sK27)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
inference(global_subsumption_just,[status(thm)],[c_167,c_173]) ).
tcf(c_253,negated_conjecture,
( sP0(sK23,sK26,sK24,sK28,sK27)
| sP1(sK24,sK23,sK26,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
inference(renaming,[status(thm)],[c_252]) ).
tcf(c_1676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(X0,X1,X1,X2,X1,X3,X3,X4)
| ( X4 != sK24 )
| ( X3 != sK23 )
| ( X2 != sK28 )
| ( X1 != sK26 )
| ( X0 != sK27 ) ),
inference(resolution_lifted,[status(thm)],[c_163,c_253]) ).
tcf(c_1677,plain,
( sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK23,sK23,sK24)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
inference(unflattening,[status(thm)],[c_1676]) ).
tcf(c_1968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ( X3 != sK25 )
| ( X2 != sK29 )
| ( X1 != sK26 )
| ( X0 != sK22 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_175]) ).
tcf(c_1969,plain,
! [X0: $i] :
( perp(sK25,sK22,sK22,X0)
| ~ eqangle(sK22,X0,sK22,sK26,sK29,sK22,sK29,sK26) ),
inference(unflattening,[status(thm)],[c_1968]) ).
tcf(c_1970,plain,
( perp(sK25,sK22,sK22,sK26)
| ~ eqangle(sK22,sK26,sK22,sK26,sK29,sK22,sK29,sK26) ),
inference(instantiation,[status(thm)],[c_1969]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK13(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK24 )
| ( X2 != sK23 )
| ( X1 != sK22 )
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_174]) ).
tcf(c_2310,plain,
perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25),
inference(unflattening,[status(thm)],[c_2309]) ).
tcf(c_6549,plain,
( coll(sK27,sK24,sK22)
| ~ coll(sK27,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6553,plain,
( perp(sK27,sK26,sK24,sK22)
| ~ perp(sK27,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6554,plain,
( perp(sK28,sK26,sK23,sK22)
| ~ perp(sK28,sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6555,plain,
( perp(sK22,sK24,sK27,sK26)
| ~ perp(sK27,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6556,plain,
( perp(sK22,sK23,sK28,sK26)
| ~ perp(sK28,sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6567,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK24)
| ~ perp(sK27,sK26,sK22,sK24)
| ~ perp(X0,X1,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6569,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK23)
| ~ perp(sK28,sK26,sK22,sK23)
| ~ perp(X0,X1,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6601,plain,
( coll(sK24,sK27,sK22)
| ~ coll(sK27,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6649,plain,
( perp(sK24,sK22,sK27,sK26)
| ~ perp(sK27,sK26,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6665,plain,
coll(sK27,sK24,sK22),
inference(superposition,[status(thm)],[c_177,c_49]) ).
tcf(c_6666,plain,
coll(sK28,sK23,sK22),
inference(superposition,[status(thm)],[c_179,c_49]) ).
tcf(c_6669,plain,
coll(sK22,sK27,sK24),
inference(superposition,[status(thm)],[c_177,c_50]) ).
tcf(c_6671,plain,
( perp(sK23,sK22,sK28,sK26)
| ~ perp(sK28,sK26,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6687,plain,
coll(sK23,sK28,sK22),
inference(superposition,[status(thm)],[c_6666,c_50]) ).
tcf(c_6690,plain,
coll(sK22,sK24,sK27),
inference(superposition,[status(thm)],[c_6669,c_49]) ).
tcf(c_6749,plain,
( perp(sK22,sK25,sK13(sK22,sK23,sK24,sK25),sK22)
| ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6751,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK25)
| ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25)
| ~ perp(X0,X1,sK13(sK22,sK23,sK24,sK25),sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6793,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6804,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6793,c_72]) ).
tcf(c_6812,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6804,c_71]) ).
tcf(c_6831,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6812,c_72]) ).
tcf(c_6846,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_177,c_51]) ).
tcf(c_6848,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_6665,c_51]) ).
tcf(c_6853,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK28,X0) ),
inference(superposition,[status(thm)],[c_6687,c_51]) ).
tcf(c_6854,plain,
! [X0: $i] :
( coll(sK27,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_6690,c_51]) ).
tcf(c_6916,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_177,c_6846]) ).
tcf(c_6917,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_6916,c_51]) ).
tcf(c_6938,plain,
( para(sK22,sK24,sK22,sK24)
| ~ perp(sK22,sK24,sK27,sK26)
| ~ perp(sK27,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_6567]) ).
tcf(c_6939,plain,
( para(sK22,sK23,sK22,sK23)
| ~ perp(sK22,sK23,sK28,sK26)
| ~ perp(sK28,sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6569]) ).
tcf(c_6959,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_6665,c_6848]) ).
tcf(c_6963,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_6959,c_49]) ).
tcf(c_7036,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_6963,c_51]) ).
tcf(c_7040,plain,
( coll(sK22,sK26,sK22)
| ~ coll(sK22,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_7036]) ).
tcf(c_7083,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_6916,c_6917]) ).
tcf(c_7085,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7083,c_51]) ).
tcf(c_7088,plain,
( coll(sK24,sK26,sK27)
| ~ coll(sK27,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_7085]) ).
tcf(c_7092,plain,
! [X0: $i] :
( coll(X0,sK22,sK24)
| ~ coll(sK24,sK27,sK22)
| ~ coll(sK24,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_7093,plain,
( coll(sK26,sK22,sK24)
| ~ coll(sK24,sK27,sK22)
| ~ coll(sK24,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_7092]) ).
tcf(c_7131,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_7205,plain,
( para(sK24,sK22,sK22,sK24)
| ~ perp(sK24,sK22,sK27,sK26)
| ~ perp(sK27,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_6567]) ).
tcf(c_7230,plain,
( para(sK23,sK22,sK22,sK23)
| ~ perp(sK23,sK22,sK28,sK26)
| ~ perp(sK28,sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6569]) ).
tcf(c_7237,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_6687,c_6853]) ).
tcf(c_7239,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7237,c_51]) ).
tcf(c_7242,plain,
( coll(sK23,sK26,sK22)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_7239]) ).
tcf(c_7249,plain,
! [X0: $i,X1: $i] :
( midp(X0,X0,X1)
| ~ midp(X0,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6804,c_116]) ).
tcf(c_7253,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6831,c_116]) ).
tcf(c_7277,plain,
( perp(sK22,sK23,sK23,sK24)
| ~ coll(sK25,sK22,sK24) ),
inference(superposition,[status(thm)],[c_174,c_102]) ).
tcf(c_7278,plain,
( perp(sK22,sK26,sK26,sK29)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_175,c_102]) ).
tcf(c_7316,plain,
( perp(sK22,sK23,sK24,sK23)
| ~ coll(sK25,sK22,sK24) ),
inference(superposition,[status(thm)],[c_7277,c_55]) ).
tcf(c_7774,plain,
coll(sK27,sK24,sK22),
inference(resolution,[status(thm)],[c_49,c_177]) ).
tcf(c_7775,plain,
coll(sK28,sK23,sK22),
inference(resolution,[status(thm)],[c_49,c_179]) ).
tcf(c_7805,plain,
coll(sK22,sK28,sK23),
inference(resolution,[status(thm)],[c_50,c_179]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK24,X0,X1,sK22,sK24,X0,X1)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_7815,plain,
( eqangle(sK22,sK24,sK26,sK26,sK22,sK24,sK26,sK26)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_7813]) ).
tcf(c_7821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK22,sK24,sK22,sK24)
| ~ eqangle(X0,X1,X2,X3,sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_7822,plain,
( para(sK26,sK26,sK26,sK26)
| ~ para(sK22,sK24,sK22,sK24)
| ~ eqangle(sK26,sK26,sK26,sK26,sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_7821]) ).
tcf(c_7848,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,X0,X1,sK22,sK23,X0,X1)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_7850,plain,
( eqangle(sK22,sK23,sK26,sK26,sK22,sK23,sK26,sK26)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_7848]) ).
tcf(c_7904,plain,
( cong(sK27,sK22,sK27,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_176,c_104]) ).
tcf(c_8000,plain,
perp(sK27,sK26,sK24,sK22),
inference(resolution,[status(thm)],[c_55,c_176]) ).
tcf(c_8002,plain,
( para(sK22,sK25,sK22,sK25)
| ~ perp(sK22,sK25,sK13(sK22,sK23,sK24,sK25),sK22)
| ~ perp(sK13(sK22,sK23,sK24,sK25),sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_6751]) ).
tcf(c_8027,plain,
perp(sK22,sK24,sK27,sK26),
inference(resolution,[status(thm)],[c_56,c_176]) ).
tcf(c_8295,plain,
! [X0: $i] :
( coll(X0,sK22,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(resolution,[status(thm)],[c_51,c_7774]) ).
tcf(c_8297,plain,
! [X0: $i] :
( coll(X0,sK22,sK28)
| ~ coll(sK28,sK23,X0) ),
inference(resolution,[status(thm)],[c_51,c_7775]) ).
tcf(c_8301,plain,
! [X0: $i] :
( coll(X0,sK23,sK22)
| ~ coll(sK22,sK28,X0) ),
inference(resolution,[status(thm)],[c_51,c_7805]) ).
tcf(c_8429,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK22,X0,X1)
| ~ para(sK24,sK22,sK22,sK24)
| ~ perp(sK22,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_8480,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK22,X0,X1)
| ~ para(sK23,sK22,sK22,sK23)
| ~ perp(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_8558,plain,
coll(sK22,sK22,sK27),
inference(resolution,[status(thm)],[c_8295,c_7774]) ).
tcf(c_8573,plain,
coll(sK22,sK27,sK22),
inference(resolution,[status(thm)],[c_8558,c_49]) ).
tcf(c_8644,plain,
coll(sK22,sK22,sK28),
inference(resolution,[status(thm)],[c_8297,c_7775]) ).
tcf(c_8656,plain,
coll(sK22,sK28,sK22),
inference(resolution,[status(thm)],[c_8644,c_49]) ).
tcf(c_8913,plain,
! [X0: $i] :
( coll(X0,sK22,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(resolution,[status(thm)],[c_8573,c_51]) ).
tcf(c_8914,plain,
( coll(sK26,sK22,sK22)
| ~ coll(sK22,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_8913]) ).
tcf(c_8983,plain,
coll(sK22,sK23,sK22),
inference(resolution,[status(thm)],[c_8656,c_8301]) ).
tcf(c_9251,plain,
coll(sK23,sK22,sK22),
inference(resolution,[status(thm)],[c_8983,c_50]) ).
tcf(c_9336,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_9706,plain,
coll(sK22,sK27,sK24),
inference(superposition,[status(thm)],[c_177,c_50]) ).
tcf(c_9725,plain,
coll(sK22,sK24,sK27),
inference(superposition,[status(thm)],[c_9706,c_49]) ).
tcf(c_9771,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_9725,c_6854]) ).
tcf(c_9783,plain,
perp(sK22,sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_176,c_56]) ).
tcf(c_9784,plain,
perp(sK22,sK23,sK28,sK26),
inference(superposition,[status(thm)],[c_178,c_56]) ).
tcf(c_9810,plain,
perp(sK22,sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_9783,c_55]) ).
tcf(c_9812,plain,
perp(sK22,sK23,sK26,sK28),
inference(superposition,[status(thm)],[c_9784,c_55]) ).
tcf(c_9819,plain,
perp(sK26,sK28,sK22,sK23),
inference(superposition,[status(thm)],[c_9812,c_56]) ).
tcf(c_9836,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_9771,c_51]) ).
tcf(c_9837,plain,
( coll(sK22,sK26,sK27)
| ~ coll(sK27,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_9836]) ).
tcf(c_9963,plain,
( cong(sK22,sK26,sK22,sK27)
| ~ midp(sK24,sK26,sK27) ),
inference(superposition,[status(thm)],[c_9810,c_104]) ).
tcf(c_9974,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK26,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_176,c_57]) ).
tcf(c_9980,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK28,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_9784,c_57]) ).
tcf(c_10023,plain,
para(sK27,sK26,sK27,sK26),
inference(superposition,[status(thm)],[c_9783,c_9974]) ).
tcf(c_10033,plain,
coll(sK27,sK26,sK26),
inference(superposition,[status(thm)],[c_10023,c_115]) ).
tcf(c_10079,plain,
coll(sK26,sK27,sK26),
inference(superposition,[status(thm)],[c_10033,c_50]) ).
tcf(c_10091,plain,
( midp(sK22,sK26,sK27)
| ~ midp(sK24,sK26,sK27)
| ~ coll(sK22,sK26,sK27) ),
inference(superposition,[status(thm)],[c_9963,c_116]) ).
tcf(c_10367,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_178,c_9980]) ).
tcf(c_10432,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_10436,plain,
( cyclic(sK26,sK26,sK26,sK26)
| ~ coll(sK26,sK26,sK26)
| ~ para(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_10432]) ).
tcf(c_10599,plain,
! [X0: $i] :
( coll(X0,sK22,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(resolution,[status(thm)],[c_9251,c_51]) ).
tcf(c_10600,plain,
( coll(sK26,sK22,sK23)
| ~ coll(sK23,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_10599]) ).
tcf(c_10660,plain,
( para(sK22,sK25,sK25,sK22)
| ~ para(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_10844,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK24,sK22,sK24,X0,X1,X0,X1)
| ~ eqangle(sK22,sK24,X0,X1,sK22,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10846,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK22,sK24,X0,X1,sK22,sK24)
| ~ eqangle(sK22,sK24,X0,X1,sK22,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_10850,plain,
( eqangle(sK22,sK24,sK22,sK24,sK26,sK26,sK26,sK26)
| ~ eqangle(sK22,sK24,sK26,sK26,sK22,sK24,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_10844]) ).
tcf(c_10898,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,sK23,X0,X1,X0,X1)
| ~ eqangle(sK22,sK23,X0,X1,sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10904,plain,
( eqangle(sK22,sK23,sK22,sK23,sK26,sK26,sK26,sK26)
| ~ eqangle(sK22,sK23,sK26,sK26,sK22,sK23,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_10898]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK26)
| ~ perp(X0,X1,sK22,sK24) ),
inference(resolution,[status(thm)],[c_57,c_8027]) ).
tcf(c_12161,plain,
para(sK27,sK26,sK27,sK26),
inference(resolution,[status(thm)],[c_11656,c_176]) ).
tcf(c_12280,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(superposition,[status(thm)],[c_10367,c_113]) ).
tcf(c_12299,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12280,c_10367]) ).
tcf(c_12302,plain,
( midp(sK26,sK23,sK23)
| ~ midp(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12299]) ).
tcf(c_12349,plain,
coll(sK27,sK26,sK26),
inference(resolution,[status(thm)],[c_115,c_12161]) ).
tcf(c_12408,plain,
coll(sK26,sK27,sK26),
inference(resolution,[status(thm)],[c_12349,c_50]) ).
tcf(c_12497,plain,
! [X0: $i] :
( coll(X0,sK26,sK26)
| ~ coll(sK26,sK27,X0) ),
inference(resolution,[status(thm)],[c_12408,c_51]) ).
tcf(c_12498,plain,
( coll(sK26,sK26,sK26)
| ~ coll(sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_12497]) ).
tcf(c_12708,plain,
! [X0: $i] :
( coll(sK22,sK27,X0)
| ~ coll(sK22,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_12709,plain,
( coll(sK22,sK27,sK26)
| ~ coll(sK22,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_12708]) ).
tcf(c_12712,plain,
! [X0: $i] :
( coll(sK24,sK27,X0)
| ~ coll(sK24,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_12713,plain,
( coll(sK24,sK27,sK26)
| ~ coll(sK24,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_12712]) ).
tcf(c_12724,plain,
! [X0: $i] :
( coll(sK22,sK22,X0)
| ~ coll(sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_12725,plain,
( coll(sK22,sK22,sK26)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_12724]) ).
tcf(c_12980,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK23)
| ~ para(X0,X1,sK28,sK26) ),
inference(resolution,[status(thm)],[c_58,c_178]) ).
tcf(c_12982,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK22)
| ~ para(X0,X1,sK27,sK26) ),
inference(resolution,[status(thm)],[c_58,c_8000]) ).
tcf(c_13020,plain,
( cong(sK26,sK22,sK26,sK23)
| ~ midp(sK28,sK22,sK23) ),
inference(superposition,[status(thm)],[c_9819,c_104]) ).
tcf(c_13200,plain,
( midp(sK26,sK22,sK23)
| ~ midp(sK28,sK22,sK23)
| ~ coll(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_13020,c_116]) ).
tcf(c_13233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK22,sK23)
| ~ para(X2,X3,sK28,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_12980,c_57]) ).
tcf(c_13385,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK22,X0,X1)
| ~ para(X0,X1,sK27,sK26) ),
inference(resolution,[status(thm)],[c_12982,c_56]) ).
tcf(c_14615,plain,
perp(sK22,sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_176,c_56]) ).
tcf(c_14616,plain,
perp(sK22,sK23,sK28,sK26),
inference(superposition,[status(thm)],[c_178,c_56]) ).
tcf(c_14657,plain,
perp(sK22,sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_14615,c_55]) ).
tcf(c_14659,plain,
perp(sK22,sK23,sK26,sK28),
inference(superposition,[status(thm)],[c_14616,c_55]) ).
tcf(c_14932,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK26,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_176,c_57]) ).
tcf(c_14933,plain,
! [X0: $i,X1: $i] :
( para(sK28,sK26,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_178,c_57]) ).
tcf(c_14992,plain,
para(sK27,sK26,sK26,sK27),
inference(superposition,[status(thm)],[c_14657,c_14932]) ).
tcf(c_14997,plain,
para(sK28,sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_14659,c_14933]) ).
tcf(c_15004,plain,
para(sK26,sK27,sK27,sK26),
inference(superposition,[status(thm)],[c_14992,c_53]) ).
tcf(c_15103,plain,
para(sK26,sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_14997,c_53]) ).
tcf(c_15910,plain,
para(sK26,sK27,sK26,sK27),
inference(superposition,[status(thm)],[c_15004,c_52]) ).
tcf(c_15915,plain,
para(sK26,sK28,sK26,sK28),
inference(superposition,[status(thm)],[c_15103,c_52]) ).
tcf(c_15998,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK27,sK26,sK27) ),
inference(superposition,[status(thm)],[c_15910,c_113]) ).
tcf(c_16005,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK26,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15998,c_15910]) ).
tcf(c_16006,plain,
( midp(sK26,sK27,sK27)
| ~ midp(sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_16005]) ).
tcf(c_16008,plain,
! [X0: $i] :
( midp(X0,sK28,sK28)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK28,sK26,sK28) ),
inference(superposition,[status(thm)],[c_15915,c_113]) ).
tcf(c_16015,plain,
! [X0: $i] :
( midp(X0,sK28,sK28)
| ~ midp(X0,sK26,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16008,c_15915]) ).
tcf(c_16016,plain,
( midp(sK26,sK28,sK28)
| ~ midp(sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_16015]) ).
tcf(c_16838,plain,
! [X0: $i] :
( coll(sK23,sK22,X0)
| ~ coll(sK23,X0,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_16839,plain,
( coll(sK23,sK22,sK26)
| ~ coll(sK23,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_16838]) ).
tcf(c_17290,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK22,sK22,sK23)
| ~ para(X0,X1,sK28,sK26)
| ~ para(X0,X1,sK27,sK26) ),
inference(resolution,[status(thm)],[c_13385,c_13233]) ).
tcf(c_17291,plain,
( para(sK24,sK22,sK22,sK23)
| ~ para(sK26,sK26,sK28,sK26)
| ~ para(sK26,sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_17290]) ).
tcf(c_17690,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK24,sK22,sK24)
| ~ perp(X0,X1,X0,X1)
| ~ eqangle(sK22,sK24,sK22,sK24,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_17692,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK22,sK24,sK22,sK24)
| ~ eqangle(sK22,sK24,sK22,sK24,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_17696,plain,
( eqangle(sK26,sK26,sK26,sK26,sK22,sK24,sK22,sK24)
| ~ eqangle(sK22,sK24,sK22,sK24,sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_17692]) ).
tcf(c_17698,plain,
( perp(sK22,sK24,sK22,sK24)
| ~ perp(sK26,sK26,sK26,sK26)
| ~ eqangle(sK22,sK24,sK22,sK24,sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_17690]) ).
tcf(c_17809,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,X1)
| ~ eqangle(X0,X1,sK22,sK24,X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_18069,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK23,sK22,sK23)
| ~ perp(X0,X1,X0,X1)
| ~ eqangle(sK22,sK23,sK22,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_18077,plain,
( perp(sK22,sK23,sK22,sK23)
| ~ perp(sK26,sK26,sK26,sK26)
| ~ eqangle(sK22,sK23,sK22,sK23,sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_18069]) ).
tcf(c_18610,plain,
( coll(sK25,sK22,sK24)
| ~ coll(sK22,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_18982,plain,
! [X0: $i] :
( eqangle(sK22,X0,sK22,sK26,sK29,sK22,sK29,sK26)
| ~ perp(sK25,sK22,sK22,X0) ),
inference(resolution,[status(thm)],[c_97,c_175]) ).
tcf(c_22108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK27,sK26)
| ~ perp(X2,X3,sK27,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_22109,plain,
( para(sK26,sK26,sK27,sK26)
| ~ perp(sK26,sK26,sK26,sK26)
| ~ perp(sK26,sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_22108]) ).
tcf(c_22110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK28,sK26)
| ~ perp(X2,X3,sK28,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_22111,plain,
( para(sK26,sK26,sK28,sK26)
| ~ perp(sK26,sK26,sK28,sK26)
| ~ perp(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_22110]) ).
tcf(c_22337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,sK27,sK26)
| ~ perp(X2,X3,sK27,sK26)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_23621,plain,
( coll(sK22,sK25,sK24)
| ~ para(sK22,sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_23865,plain,
perp(sK22,sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_176,c_56]) ).
tcf(c_23867,plain,
( perp(sK26,sK29,sK22,sK26)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_7278,c_56]) ).
tcf(c_23890,plain,
perp(sK22,sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_23865,c_55]) ).
tcf(c_23897,plain,
perp(sK26,sK27,sK22,sK24),
inference(superposition,[status(thm)],[c_23890,c_56]) ).
tcf(c_23914,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_177,c_51]) ).
tcf(c_23947,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_177,c_23914]) ).
tcf(c_23948,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_23947,c_51]) ).
tcf(c_24015,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_23947,c_23948]) ).
tcf(c_24060,plain,
( perp(sK26,sK29,sK26,sK22)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_23867,c_55]) ).
tcf(c_24102,plain,
( cong(sK22,sK26,sK22,sK27)
| ~ midp(sK24,sK26,sK27) ),
inference(superposition,[status(thm)],[c_23890,c_104]) ).
tcf(c_24170,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK26,X0,X1)
| ~ coll(sK25,sK22,sK29)
| ~ perp(sK26,sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_7278,c_57]) ).
tcf(c_24354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_24545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_24354,c_66]) ).
tcf(c_25141,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK27,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_23897,c_57]) ).
tcf(c_25415,plain,
para(sK26,sK27,sK26,sK27),
inference(superposition,[status(thm)],[c_23890,c_25141]) ).
tcf(c_25630,plain,
coll(sK26,sK27,sK27),
inference(superposition,[status(thm)],[c_25415,c_115]) ).
tcf(c_25715,plain,
coll(sK27,sK26,sK27),
inference(superposition,[status(thm)],[c_25630,c_50]) ).
tcf(c_26565,plain,
( para(sK22,sK26,sK26,sK22)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_24060,c_24170]) ).
tcf(c_26651,plain,
( midp(sK22,sK26,sK27)
| ~ midp(sK24,sK26,sK27)
| ~ coll(sK22,sK26,sK27) ),
inference(superposition,[status(thm)],[c_24102,c_116]) ).
tcf(c_26740,plain,
coll(sK27,sK27,sK26),
inference(superposition,[status(thm)],[c_25715,c_49]) ).
tcf(c_26990,plain,
( midp(sK22,sK26,sK27)
| ~ midp(sK24,sK26,sK27) ),
inference(global_subsumption_just,[status(thm)],[c_26651,c_9837,c_10091,c_26740]) ).
tcf(c_27049,plain,
! [X0: $i] :
( coll(sK26,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_26740,c_51]) ).
tcf(c_27182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X1,X0,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_24545,c_87]) ).
tcf(c_31689,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK27,sK26)
| ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31690,plain,
( perp(sK26,sK26,sK27,sK26)
| ~ cong(sK26,sK26,sK26,sK26)
| ~ cong(sK26,sK27,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_31689]) ).
tcf(c_31691,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK28,sK26)
| ~ cong(X0,sK28,X1,sK28)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31692,plain,
( perp(sK26,sK26,sK28,sK26)
| ~ cong(sK26,sK28,sK26,sK28)
| ~ cong(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_31691]) ).
tcf(c_31699,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK22)
| ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31700,plain,
( perp(sK26,sK26,sK26,sK22)
| ~ cong(sK26,sK22,sK26,sK22)
| ~ cong(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_31699]) ).
tcf(c_31875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK29,sK22,sK29,sK26)
| ~ perp(sK25,sK22,sK22,X4)
| ~ eqangle(X0,X1,X2,X3,sK22,X4,sK22,sK26) ),
inference(resolution,[status(thm)],[c_70,c_18982]) ).
tcf(c_32457,plain,
( para(sK26,sK22,sK26,sK22)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_26565,c_27182]) ).
tcf(c_32752,plain,
( coll(sK26,sK22,sK22)
| ~ coll(sK25,sK22,sK29) ),
inference(superposition,[status(thm)],[c_32457,c_115]) ).
tcf(c_32937,plain,
! [X0: $i] :
( cong(X0,sK27,X0,sK27)
| ~ midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32939,plain,
( cong(sK26,sK27,sK26,sK27)
| ~ midp(sK26,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_32937]) ).
tcf(c_32967,plain,
! [X0: $i] :
( cong(X0,sK28,X0,sK28)
| ~ midp(X0,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32969,plain,
( cong(sK26,sK28,sK26,sK28)
| ~ midp(sK26,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_32967]) ).
tcf(c_35924,plain,
( para(sK22,sK25,sK22,sK24)
| ~ perp(sK22,sK25,sK27,sK26)
| ~ perp(sK27,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_6567]) ).
tcf(c_36719,plain,
coll(sK26,sK24,sK27),
inference(superposition,[status(thm)],[c_24015,c_27049]) ).
tcf(c_36725,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK25,sK22,sK22,X0)
| ~ circle(sK25,sK22,X1,X2)
| ~ eqangle(sK22,X0,sK22,X1,X2,sK22,X2,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_37141,plain,
coll(sK26,sK27,sK24),
inference(superposition,[status(thm)],[c_36719,c_49]) ).
tcf(c_37200,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK22,sK24)
| ~ coll(X1,sK22,sK24)
| ~ midp(X0,sK22,X2)
| ~ para(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_37201,plain,
( midp(sK26,sK22,sK24)
| ~ midp(sK26,sK22,sK26)
| ~ coll(sK26,sK22,sK24)
| ~ para(sK26,sK26,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_37200]) ).
tcf(c_37249,plain,
! [X0: $i] :
( coll(sK24,X0,sK26)
| ~ coll(sK26,sK27,X0) ),
inference(superposition,[status(thm)],[c_37141,c_51]) ).
tcf(c_37254,plain,
( coll(sK24,sK26,sK26)
| ~ coll(sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_37249]) ).
tcf(c_37891,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK25,sK27,sK26)
| ~ perp(X0,X1,sK27,sK26)
| ~ para(sK22,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_22337]) ).
tcf(c_38511,plain,
! [X0: $i] :
( perp(sK25,sK22,sK22,X0)
| ~ circle(sK25,sK22,sK23,sK24)
| ~ eqangle(sK22,X0,sK22,sK23,sK24,sK22,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_36725]) ).
tcf(c_39959,plain,
! [X0: $i,X1: $i] :
( perp(sK25,sK22,sK27,sK26)
| ~ perp(X0,X1,sK27,sK26)
| ~ para(sK25,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_22337]) ).
tcf(c_39963,plain,
( perp(sK25,sK22,sK27,sK26)
| ~ perp(sK26,sK26,sK27,sK26)
| ~ para(sK25,sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_39959]) ).
tcf(c_42780,plain,
coll(sK26,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_32752,c_8914,c_9837,c_12709,c_26740]) ).
tcf(c_42783,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_42780,c_50]) ).
tcf(c_42797,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_42783,c_49]) ).
tcf(c_43349,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_42797,c_51]) ).
tcf(c_43356,plain,
( coll(sK26,sK26,sK22)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_43349]) ).
tcf(c_43395,plain,
coll(sK27,sK24,sK22),
inference(superposition,[status(thm)],[c_177,c_49]) ).
tcf(c_43469,plain,
perp(sK27,sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_176,c_55]) ).
tcf(c_43476,plain,
perp(sK22,sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_176,c_56]) ).
tcf(c_43477,plain,
perp(sK22,sK23,sK28,sK26),
inference(superposition,[status(thm)],[c_178,c_56]) ).
tcf(c_43502,plain,
perp(sK22,sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_43476,c_55]) ).
tcf(c_43504,plain,
perp(sK22,sK23,sK26,sK28),
inference(superposition,[status(thm)],[c_43477,c_55]) ).
tcf(c_43521,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_43528,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_43395,c_51]) ).
tcf(c_43703,plain,
( cong(sK27,sK22,sK27,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_176,c_104]) ).
tcf(c_43704,plain,
( cong(sK28,sK22,sK28,sK23)
| ~ midp(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_178,c_104]) ).
tcf(c_43725,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK26,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_176,c_57]) ).
tcf(c_43728,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK26,X0,X1)
| ~ perp(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_43469,c_57]) ).
tcf(c_43768,plain,
( cong(sK27,sK24,sK27,sK22)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_43703,c_72]) ).
tcf(c_43784,plain,
para(sK27,sK26,sK26,sK27),
inference(superposition,[status(thm)],[c_43502,c_43725]) ).
tcf(c_43806,plain,
! [X0: $i] :
( circle(sK28,sK22,X0,sK23)
| ~ midp(sK26,sK22,sK23)
| ~ cong(sK28,sK22,sK28,X0) ),
inference(superposition,[status(thm)],[c_43704,c_60]) ).
tcf(c_43820,plain,
! [X0: $i,X1: $i] :
( cong(sK28,sK22,X0,X1)
| ~ midp(sK26,sK22,sK23)
| ~ cong(sK28,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_43704,c_73]) ).
tcf(c_43855,plain,
para(sK26,sK27,sK27,sK26),
inference(superposition,[status(thm)],[c_43784,c_53]) ).
tcf(c_43908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X2,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_43941,plain,
! [X0: $i] :
( circle(sK27,sK24,X0,sK22)
| ~ midp(sK26,sK22,sK24)
| ~ cong(sK27,sK24,sK27,X0) ),
inference(superposition,[status(thm)],[c_43768,c_60]) ).
tcf(c_43980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X2,X3,X4,X5,X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_68]) ).
tcf(c_44061,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_44131,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_44061,c_176,c_6555,c_6938,c_7813,c_9336,c_10846,c_17809]) ).
tcf(c_44132,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X2,X0)
| cyclic(X0,X1,X2,X2) ),
inference(renaming,[status(thm)],[c_44131]) ).
tcf(c_44136,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X2,X1)
| cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_44132,c_64]) ).
tcf(c_44207,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_43980,c_91]) ).
tcf(c_44319,plain,
! [X0: $i] :
( cong(sK28,sK22,sK28,X0)
| ~ midp(sK26,sK22,sK23)
| ~ midp(sK28,X0,sK23) ),
inference(superposition,[status(thm)],[c_43521,c_43820]) ).
tcf(c_44470,plain,
( circle(sK27,sK24,sK22,sK22)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_43768,c_43941]) ).
tcf(c_44752,plain,
para(sK26,sK27,sK26,sK27),
inference(superposition,[status(thm)],[c_43855,c_52]) ).
tcf(c_44946,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK24,X1)
| ~ midp(sK26,sK22,sK24)
| ~ cong(sK27,sK22,sK27,X1)
| ~ cong(sK27,sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_43703,c_61]) ).
tcf(c_44947,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK23,X1)
| ~ midp(sK26,sK22,sK23)
| ~ cong(sK28,sK22,sK28,X1)
| ~ cong(sK28,sK22,sK28,X0) ),
inference(superposition,[status(thm)],[c_43704,c_61]) ).
tcf(c_45046,plain,
! [X0: $i] :
( cyclic(sK22,sK24,sK24,X0)
| ~ midp(sK26,sK22,sK24)
| ~ cong(sK27,sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_43703,c_44946]) ).
tcf(c_45056,plain,
( cyclic(sK22,sK24,sK24,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_43703,c_45046]) ).
tcf(c_45061,plain,
( perp(sK24,sK22,sK22,sK24)
| ~ midp(sK26,sK22,sK24)
| ~ cong(sK22,sK24,sK24,sK24) ),
inference(superposition,[status(thm)],[c_45056,c_106]) ).
tcf(c_45075,plain,
! [X0: $i] :
( cyclic(sK22,sK23,sK23,X0)
| ~ midp(sK26,sK22,sK23)
| ~ cong(sK28,sK22,sK28,X0) ),
inference(superposition,[status(thm)],[c_43704,c_44947]) ).
tcf(c_45173,plain,
( cyclic(sK22,sK23,sK23,sK23)
| ~ midp(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_43704,c_45075]) ).
tcf(c_45178,plain,
( perp(sK23,sK22,sK22,sK23)
| ~ midp(sK26,sK22,sK23)
| ~ cong(sK22,sK23,sK23,sK23) ),
inference(superposition,[status(thm)],[c_45173,c_106]) ).
tcf(c_45897,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0) ),
inference(superposition,[status(thm)],[c_43908,c_92]) ).
tcf(c_46610,plain,
( perp(sK24,sK22,sK22,sK22)
| ~ midp(sK26,sK22,sK24)
| ~ coll(sK27,sK24,sK22) ),
inference(superposition,[status(thm)],[c_44470,c_102]) ).
tcf(c_46611,plain,
( perp(sK24,sK22,sK22,sK22)
| ~ midp(sK26,sK22,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46610,c_43395]) ).
tcf(c_46614,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK22,X0,X1)
| ~ midp(sK26,sK22,sK24)
| ~ perp(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_46611,c_57]) ).
tcf(c_47038,plain,
coll(sK26,sK27,sK27),
inference(superposition,[status(thm)],[c_44752,c_115]) ).
tcf(c_47136,plain,
coll(sK27,sK26,sK27),
inference(superposition,[status(thm)],[c_47038,c_50]) ).
tcf(c_47140,plain,
coll(sK27,sK27,sK26),
inference(superposition,[status(thm)],[c_47136,c_49]) ).
tcf(c_47144,plain,
coll(sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_47140,c_7085]) ).
tcf(c_47156,plain,
coll(sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_47144,c_49]) ).
tcf(c_47268,plain,
coll(sK27,sK24,sK26),
inference(superposition,[status(thm)],[c_47156,c_50]) ).
tcf(c_47279,plain,
coll(sK22,sK26,sK27),
inference(superposition,[status(thm)],[c_47268,c_43528]) ).
tcf(c_47283,plain,
coll(sK26,sK22,sK27),
inference(superposition,[status(thm)],[c_47279,c_50]) ).
tcf(c_47289,plain,
coll(sK26,sK27,sK22),
inference(superposition,[status(thm)],[c_47283,c_49]) ).
tcf(c_47423,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK27,X0) ),
inference(superposition,[status(thm)],[c_47289,c_51]) ).
tcf(c_47426,plain,
( coll(sK22,sK26,sK26)
| ~ coll(sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_47423]) ).
tcf(c_49616,plain,
! [X0: $i] :
( cong(sK28,X0,sK28,sK22)
| ~ midp(sK26,sK22,sK23)
| ~ midp(sK28,X0,sK23) ),
inference(superposition,[status(thm)],[c_44319,c_72]) ).
tcf(c_52437,plain,
( perp(sK25,sK22,sK22,sK22)
| ~ circle(sK25,sK22,sK23,sK24)
| ~ eqangle(sK22,sK22,sK22,sK23,sK24,sK22,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_38511]) ).
tcf(c_52438,plain,
( eqangle(sK22,sK22,sK22,sK23,sK24,sK22,sK24,sK23)
| ~ cyclic(sK22,sK23,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_53983,plain,
( circle(sK28,sK22,sK22,sK23)
| ~ midp(sK28,sK22,sK23)
| ~ midp(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_49616,c_43806]) ).
tcf(c_55789,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,X2,X0,X2,X0,X1,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[c_95,c_68]) ).
tcf(c_57080,plain,
( perp(sK24,sK22,sK22,sK24)
| ~ perp(sK22,sK24,sK22,sK24)
| ~ para(sK24,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_8429]) ).
tcf(c_57385,plain,
( perp(sK23,sK22,sK22,sK23)
| ~ perp(sK22,sK23,sK22,sK23)
| ~ para(sK23,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_8480]) ).
tcf(c_58324,plain,
! [X0: $i] :
( cyclic(sK22,sK23,sK22,sK24)
| ~ cong(X0,sK22,X0,sK22)
| ~ cong(X0,sK22,X0,sK23)
| ~ cong(X0,sK22,X0,sK24) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_58325,plain,
( cyclic(sK22,sK23,sK22,sK24)
| ~ cong(sK26,sK22,sK26,sK22)
| ~ cong(sK26,sK22,sK26,sK23)
| ~ cong(sK26,sK22,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_58324]) ).
tcf(c_58736,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_44207,c_176,c_6555,c_6938,c_7813,c_10432,c_10846,c_17809]) ).
tcf(c_58737,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(renaming,[status(thm)],[c_58736]) ).
tcf(c_58741,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(X0,X1,X2,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_58737,c_44136]) ).
tcf(c_58759,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_45897,c_58741]) ).
tcf(c_58811,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(X0,X1,X2,X1),
inference(superposition,[status(thm)],[c_58741,c_63]) ).
tcf(c_58817,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58759,c_58811]) ).
tcf(c_58973,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(X0,X1,X2,X0),
inference(superposition,[status(thm)],[c_58811,c_64]) ).
tcf(c_58997,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(X0,X1,X0,X2),
inference(superposition,[status(thm)],[c_58973,c_62]) ).
tcf(c_59000,plain,
! [X0: $i,X1: $i] : cong(X0,X1,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_58817,c_58997]) ).
tcf(c_59649,plain,
( circle(sK28,sK22,sK22,sK23)
| ~ midp(sK28,sK22,sK23) ),
inference(global_subsumption_just,[status(thm)],[c_53983,c_7040,c_7242,c_9837,c_10600,c_12709,c_12725,c_13200,c_16839,c_26740,c_53983]) ).
tcf(c_59653,plain,
( perp(sK22,sK22,sK22,sK23)
| ~ midp(sK28,sK22,sK23)
| ~ coll(sK28,sK22,sK23) ),
inference(superposition,[status(thm)],[c_59649,c_102]) ).
tcf(c_59654,plain,
( perp(sK22,sK22,sK22,sK23)
| ~ midp(sK28,sK22,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59653,c_179]) ).
tcf(c_59745,plain,
perp(sK24,sK22,sK22,sK24),
inference(global_subsumption_just,[status(thm)],[c_45061,c_176,c_189,c_196,c_245,c_6553,c_6555,c_6649,c_6938,c_7205,c_7815,c_7822,c_10079,c_10436,c_10850,c_12498,c_17696,c_17698,c_57080]) ).
tcf(c_59757,plain,
para(sK27,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_59745,c_43728]) ).
tcf(c_59764,plain,
perp(sK23,sK22,sK22,sK23),
inference(global_subsumption_just,[status(thm)],[c_45178,c_178,c_176,c_189,c_196,c_245,c_6554,c_6555,c_6556,c_6671,c_6938,c_6939,c_7230,c_7815,c_7822,c_7850,c_10079,c_10436,c_10850,c_10904,c_12498,c_17696,c_18077,c_57385]) ).
tcf(c_59774,plain,
! [X0: $i] :
( cong(sK23,X0,sK22,X0)
| ~ midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_59764,c_101]) ).
tcf(c_59777,plain,
( cong(sK23,sK26,sK22,sK26)
| ~ midp(sK26,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_59774]) ).
tcf(c_59912,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK26,X0,X1)
| ~ para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_59757,c_54]) ).
tcf(c_59913,plain,
para(sK22,sK24,sK27,sK26),
inference(superposition,[status(thm)],[c_59757,c_53]) ).
tcf(c_60124,plain,
! [X0: $i] :
( midp(sK24,X0,sK26)
| ~ midp(sK22,X0,sK27)
| ~ coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_59913,c_94]) ).
tcf(c_60128,plain,
para(sK22,sK24,sK26,sK27),
inference(superposition,[status(thm)],[c_59913,c_52]) ).
tcf(c_60131,plain,
( midp(sK24,sK26,sK26)
| ~ midp(sK22,sK26,sK27)
| ~ coll(sK24,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_60124]) ).
tcf(c_60281,plain,
! [X0: $i] :
( midp(sK24,X0,sK27)
| ~ midp(sK22,X0,sK26)
| ~ coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_60128,c_94]) ).
tcf(c_60288,plain,
( midp(sK24,sK26,sK27)
| ~ midp(sK22,sK26,sK26)
| ~ coll(sK24,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_60281]) ).
tcf(c_69984,plain,
( para(sK24,sK22,sK22,sK23)
| ~ midp(sK28,sK22,sK23)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_59654,c_46614]) ).
tcf(c_70517,plain,
para(sK24,sK22,sK22,sK23),
inference(global_subsumption_just,[status(thm)],[c_69984,c_176,c_185,c_189,c_196,c_245,c_6555,c_6938,c_7815,c_7822,c_10079,c_10436,c_10850,c_12498,c_16006,c_16016,c_17291,c_17696,c_22109,c_22111,c_31690,c_31692,c_32939,c_32969]) ).
tcf(c_70527,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK22,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_70517,c_58]) ).
tcf(c_70690,plain,
perp(sK24,sK22,sK26,sK28),
inference(superposition,[status(thm)],[c_43504,c_70527]) ).
tcf(c_70782,plain,
para(sK27,sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_70690,c_43728]) ).
tcf(c_71179,plain,
para(sK26,sK28,sK27,sK26),
inference(superposition,[status(thm)],[c_70782,c_53]) ).
tcf(c_71789,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK28,X0,X1)
| ~ para(sK27,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_71179,c_54]) ).
tcf(c_71810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK22)
| ~ coll(X1,X3,sK22)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_71811,plain,
( midp(sK26,sK26,sK22)
| ~ midp(sK26,sK26,sK26)
| ~ coll(sK26,sK26,sK22)
| ~ para(sK26,sK26,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_71810]) ).
tcf(c_72516,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK22,X1)
| ~ midp(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_72517,plain,
( midp(sK26,sK22,sK26)
| ~ midp(sK26,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_72516]) ).
tcf(c_72712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X0,sK22)
| ~ perp(X2,X3,X0,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_72716,plain,
( para(sK26,sK26,sK26,sK22)
| ~ perp(sK26,sK26,sK26,sK22)
| ~ perp(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_72712]) ).
tcf(c_72870,plain,
( eqangle(sK22,sK26,sK22,sK26,sK29,sK22,sK29,sK26)
| ~ cong(sK22,sK22,sK22,sK26)
| ~ perp(sK25,sK22,sK22,sK22) ),
inference(resolution,[status(thm)],[c_55789,c_31875]) ).
tcf(c_75817,plain,
( perp(sK22,sK25,sK27,sK26)
| ~ perp(sK25,sK22,sK27,sK26)
| ~ para(sK22,sK25,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_37891]) ).
tcf(c_79863,plain,
( cong(sK26,sK22,sK26,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_79881,plain,
( cong(sK26,sK22,sK26,sK23)
| ~ cong(sK26,sK22,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_79940,plain,
! [X0: $i,X1: $i] :
( para(X1,sK26,X0,sK24)
| ~ para(X0,sK24,X1,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_79941,plain,
( para(sK26,sK26,sK26,sK24)
| ~ para(sK26,sK24,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_79940]) ).
tcf(c_80712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK25,sK22,X2,X3)
| ~ perp(sK25,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_82496,plain,
( cong(sK26,sK22,sK23,sK26)
| ~ cong(sK23,sK26,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_83317,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK22,X2,sK22)
| ~ coll(sK22,X2,sK22)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_83318,plain,
( midp(sK22,sK26,sK22)
| ~ midp(sK26,sK26,sK26)
| ~ coll(sK22,sK26,sK22)
| ~ para(sK26,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_83317]) ).
tcf(c_83338,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK22,sK22)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_83339,plain,
( midp(sK26,sK22,sK22)
| ~ midp(sK26,sK26,sK26)
| ~ para(sK26,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_83338]) ).
tcf(c_85726,plain,
! [X0: $i] :
( midp(sK22,sK22,X0)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_7249]) ).
tcf(c_85728,plain,
( midp(sK22,sK22,sK26)
| ~ midp(sK22,sK26,sK22)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_85726]) ).
tcf(c_85729,plain,
! [X0: $i] :
( midp(sK22,X0,X0)
| ~ midp(X0,sK22,sK22)
| ~ coll(sK22,X0,X0) ),
inference(instantiation,[status(thm)],[c_7253]) ).
tcf(c_85730,plain,
( midp(sK22,sK26,sK26)
| ~ midp(sK26,sK22,sK22)
| ~ coll(sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_85729]) ).
tcf(c_87572,plain,
! [X0: $i,X1: $i] :
( para(X1,sK22,X1,sK22)
| ~ cyclic(sK22,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_7131]) ).
tcf(c_87574,plain,
( para(sK26,sK22,sK26,sK22)
| ~ cyclic(sK22,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_87572]) ).
tcf(c_89272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X0,sK22,X0,sK26)
| ~ cong(X1,X2,X3,X4)
| ~ eqratio(X0,sK22,X0,sK26,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_94206,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK22,X1,sK22)
| ~ midp(sK22,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_94207,plain,
( cong(sK26,sK22,sK26,sK22)
| ~ midp(sK22,sK26,sK26)
| ~ perp(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_94206]) ).
tcf(c_94311,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK22,sK22,sK22,sK26)
| ~ cong(X0,X1,X1,X2)
| ~ eqratio(sK22,sK22,sK22,sK26,X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_89272]) ).
tcf(c_94312,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK22,sK22,sK22,sK26,X0,X1,X1,X2)
| ~ midp(sK22,sK22,sK26)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_94313,plain,
( cong(sK22,sK22,sK22,sK26)
| ~ cong(sK26,sK26,sK26,sK26)
| ~ eqratio(sK22,sK22,sK22,sK26,sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_94311]) ).
tcf(c_94314,plain,
( eqratio(sK22,sK22,sK22,sK26,sK26,sK26,sK26,sK26)
| ~ midp(sK22,sK22,sK26)
| ~ midp(sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_94312]) ).
tcf(c_94337,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK22,X0,sK26)
| ~ coll(X0,sK26,sK22)
| ~ eqangle(X0,X1,X0,sK22,sK26,X1,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_94339,plain,
( cyclic(sK26,sK22,sK26,sK26)
| ~ coll(sK26,sK26,sK22)
| ~ eqangle(sK26,sK26,sK26,sK22,sK26,sK26,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_94337]) ).
tcf(c_96954,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK24,X2,sK26)
| ~ midp(sK24,X1,sK26)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_96955,plain,
( para(sK26,sK24,sK26,sK26)
| ~ midp(sK24,sK26,sK26)
| ~ midp(sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_96954]) ).
tcf(c_98480,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK26,sK26,X0)
| ~ cong(sK26,sK22,X1,sK22)
| ~ cyclic(sK26,X1,sK22,X0)
| ~ cong(sK26,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_98481,plain,
( perp(sK22,sK26,sK26,sK26)
| ~ cyclic(sK26,sK26,sK22,sK26)
| ~ cong(sK26,sK22,sK26,sK22)
| ~ cong(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_98480]) ).
tcf(c_98722,plain,
! [X0: $i] :
( cong(sK23,X0,X0,sK22)
| ~ cong(sK23,X0,sK22,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_98723,plain,
( cong(sK23,sK26,sK26,sK22)
| ~ cong(sK23,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_98722]) ).
tcf(c_98910,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK22,sK26)
| ~ cyclic(X0,sK22,X1,sK26) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_98911,plain,
( cyclic(sK26,sK26,sK22,sK26)
| ~ cyclic(sK26,sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_98910]) ).
tcf(c_98934,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,X1,sK26)
| ~ cyclic(X0,sK22,X1,sK26) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_98935,plain,
( cyclic(sK22,sK26,sK26,sK26)
| ~ cyclic(sK26,sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_98934]) ).
tcf(c_99705,plain,
! [X0: $i] :
( eqangle(sK26,X0,sK26,sK22,sK26,X0,sK26,sK22)
| ~ para(sK26,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_99706,plain,
( eqangle(sK26,sK26,sK26,sK22,sK26,sK26,sK26,sK22)
| ~ para(sK26,sK26,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_99705]) ).
tcf(c_101924,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,sK22,X1,X2)
| ~ perp(sK25,sK22,sK22,X0)
| ~ perp(sK22,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_80712]) ).
tcf(c_101930,plain,
( para(sK25,sK22,sK26,sK26)
| ~ perp(sK22,sK26,sK26,sK26)
| ~ perp(sK25,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_101924]) ).
tcf(c_132270,plain,
perp(sK22,sK23,sK24,sK23),
inference(global_subsumption_just,[status(thm)],[c_7316,c_177,c_176,c_174,c_185,c_189,c_196,c_245,c_1970,c_2310,c_6549,c_6555,c_6601,c_6749,c_6938,c_7040,c_7088,c_7093,c_7316,c_7815,c_7822,c_8002,c_9837,c_10079,c_10436,c_10660,c_10850,c_12302,c_12498,c_12709,c_12713,c_12725,c_16006,c_17696,c_18610,c_23621,c_26740,c_26990,c_31690,c_31700,c_32939,c_35924,c_37201,c_37254,c_39963,c_43356,c_47426,c_52437,c_52438,c_58325,c_59777,c_60131,c_60288,c_71811,c_72517,c_72716,c_72870,c_75817,c_79863,c_79881,c_79941,c_82496,c_83318,c_83339,c_85728,c_85730,c_87574,c_94207,c_94313,c_94314,c_94339,c_96955,c_98481,c_98723,c_98911,c_98935,c_99706,c_101930]) ).
tcf(c_132305,plain,
perp(sK22,sK23,sK28,sK26),
inference(superposition,[status(thm)],[c_178,c_56]) ).
tcf(c_132334,plain,
perp(sK22,sK23,sK26,sK28),
inference(superposition,[status(thm)],[c_132305,c_55]) ).
tcf(c_132400,plain,
perp(sK26,sK28,sK22,sK23),
inference(superposition,[status(thm)],[c_132334,c_56]) ).
tcf(c_132524,plain,
( cong(sK27,sK22,sK27,sK24)
| ~ midp(sK26,sK22,sK24) ),
inference(superposition,[status(thm)],[c_176,c_104]) ).
tcf(c_132566,plain,
cong(sK27,sK22,sK27,sK24),
inference(global_subsumption_just,[status(thm)],[c_132524,c_177,c_176,c_185,c_189,c_196,c_245,c_6549,c_6555,c_6601,c_6938,c_7040,c_7088,c_7093,c_7815,c_7822,c_7904,c_9837,c_10079,c_10091,c_10436,c_10850,c_12498,c_12709,c_12713,c_12725,c_17696,c_26740,c_31700,c_37201,c_37254,c_43356,c_47426,c_60131,c_60288,c_71811,c_72517,c_72716,c_79941,c_83339,c_85730,c_87574,c_94207,c_94339,c_96955,c_98935,c_99706]) ).
tcf(c_132624,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK28,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_132400,c_57]) ).
tcf(c_132643,plain,
! [X0: $i] :
( circle(sK27,sK22,X0,sK24)
| ~ cong(sK27,sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_132566,c_60]) ).
tcf(c_132667,plain,
para(sK26,sK28,sK24,sK23),
inference(superposition,[status(thm)],[c_132270,c_132624]) ).
tcf(c_132670,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK28,X0,X1)
| ~ para(sK24,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_132667,c_54]) ).
tcf(c_132730,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X0,X2,X1)
| ~ cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_59000,c_105]) ).
tcf(c_132731,plain,
! [X0: $i,X1: $i,X2: $i] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_132730,c_59000]) ).
tcf(c_132856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_132888,plain,
circle(sK27,sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_132566,c_132643]) ).
tcf(c_132891,plain,
( perp(sK22,sK24,sK24,sK24)
| ~ coll(sK27,sK22,sK24) ),
inference(superposition,[status(thm)],[c_132888,c_102]) ).
tcf(c_132892,plain,
perp(sK22,sK24,sK24,sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_132891,c_177]) ).
tcf(c_132893,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ perp(sK24,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_132892,c_57]) ).
tcf(c_132900,plain,
! [X0: $i,X1: $i] : para(sK22,sK24,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_132893,c_132731]) ).
tcf(c_132936,plain,
! [X0: $i,X1: $i] : para(sK26,sK28,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_132670,c_59912,c_71789,c_132900]) ).
tcf(c_132942,plain,
! [X0: $i,X1: $i] : para(X0,X1,sK26,sK28),
inference(superposition,[status(thm)],[c_132936,c_53]) ).
tcf(c_133304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_132856,c_68]) ).
tcf(c_134503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( eqangle(X8,X9,X2,X3,X4,X5,X6,X7)
| ~ para(X8,X9,X0,X1)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(superposition,[status(thm)],[c_88,c_70]) ).
tcf(c_136929,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)
| ~ para(X4,X5,X6,X7)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_133304,c_134503]) ).
tcf(c_138425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(sK26,sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_132942,c_54]) ).
tcf(c_138431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_138425,c_132936]) ).
tcf(c_138533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(backward_subsumption_resolution,[status(thm)],[c_136929,c_138431]) ).
fof(f251,definition,
! [X1,X4,X2,X6,X5] :
( ~ sP0(X1,X4,X2,X6,X5)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X2,X1,X4,X6,X5] :
( ~ sP1(X2,X1,X4,X6,X5)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| sP0(X1,X4,X2,X6,X5)
| sP1(X2,X1,X4,X6,X5)
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
| ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) ) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f275,plain,
! [X1,X4,X2,X6,X5] :
( ~ sP0(X1,X4,X2,X6,X5)
| ( ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2)
& ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1) ) ),
inference(nnf_transformation,[],[f251]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP0(X0,X1,X2,X3,X4)
| ( ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2)
& ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0) ) ),
inference(rectify,[],[f275]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP0(X3,X1,X4,X2,X0)
| ~ eqangle(X0,X1,X1,X2,X1,X3,X3,X4) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_1688,plain,
( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK23,sK23,sK24)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1677,c_165]) ).
tcf(c_138631,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1688,c_138533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:34:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 83.92/13.39 % SZS status Started for theBenchmark.p
% 83.92/13.39 % SZS status Theorem for theBenchmark.p
% 83.92/13.39
% 83.92/13.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 83.92/13.39
% 83.92/13.39 % ------ iProver source info
% 83.92/13.39
% 83.92/13.39 % git: date: 2026-07-19 20:42:38 +0200
% 83.92/13.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 83.92/13.39 % git: non_committed_changes: false
% 83.92/13.39
% 83.92/13.39 % ------ Parsing...
% 83.92/13.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 83.92/13.39
% 83.92/13.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 83.92/13.39
% 83.92/13.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 83.92/13.39
% 83.92/13.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 83.92/13.39 % ------ Proving...
% 83.92/13.39 % ------ Problem Properties
% 83.92/13.39
% 83.92/13.39 %
% 83.92/13.39 % clauses 120
% 83.92/13.39 % conjectures 6
% 83.92/13.39 % EPR 83
% 83.92/13.39 % Horn 110
% 83.92/13.39 % unary 6
% 83.92/13.39 % binary 37
% 83.92/13.39 % lits 342
% 83.92/13.39 % lits eq 4
% 83.92/13.39 % fd_pure 0
% 83.92/13.39 % fd_pseudo 0
% 83.92/13.39 % fd_cond 0
% 83.92/13.39 % fd_pseudo_cond 4
% 83.92/13.39 % AC symbols 0
% 83.92/13.39
% 83.92/13.39 % ------ Input Options Time Limit: Unbounded
% 83.92/13.39
% 83.92/13.39
% 83.92/13.39 % ------
% 83.92/13.39 % Current options:
% 83.92/13.39 % ------
% 83.92/13.39
% 83.92/13.39
% 83.92/13.39 %
% 83.92/13.39
% 83.92/13.39 % ------ Proving...
% 83.92/13.39 %
% 83.92/13.39
% 83.92/13.39 % SZS status Theorem for theBenchmark.p
% 83.92/13.39
% 83.92/13.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.61/13.41
% 54.61/13.41
%------------------------------------------------------------------------------