%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO600+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 : n011.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 01:21:36 PM UTC 2026
% Result : Theorem 64.35s 12.36s
% Output : CNFRefutation 64.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 267 ( 8 unt; 0 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 804 ( 344 ~; 344 |; 85 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 926 ( 0 sgn 880 !; 46 ?; 317 :)
% 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(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(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(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(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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> coll(X8,X7,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618062) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> coll(X8,X7,X10) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ coll(X8,X7,X10) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( circle(X9,X1,X10,X22)
& circle(X5,X4,X10,X21)
& circle(X9,X1,X19,X20)
& midp(X9,X1,X4)
& circle(X6,X4,X8,X18)
& coll(X8,X0,X1)
& circle(X6,X4,X7,X17)
& circle(X5,X4,X7,X16)
& circle(X6,X4,X14,X15)
& circle(X5,X4,X12,X13)
& midp(X6,X0,X4)
& midp(X5,X2,X4)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ coll(X8,X7,X10) ),
inference(flattening,[],[f98]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f137,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(f138,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,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f139]) ).
fof(f161,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(f162,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,[],[f161]) ).
fof(f163,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(f164,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f163]) ).
fof(f167,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(f168,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,[],[f167]) ).
fof(f173,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(f174,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(f175,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(f176,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f175]) ).
fof(f177,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(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f177]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f185,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(f186,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f194,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(f195,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,[],[f194]) ).
fof(f196,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(f197,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(f198,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(f206,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(f207,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,[],[f206]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f210,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(f211,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,[],[f210]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f220,plain,
( circle(sK9,sK1,sK10,sK22)
& circle(sK5,sK4,sK10,sK21)
& circle(sK9,sK1,sK19,sK20)
& midp(sK9,sK1,sK4)
& circle(sK6,sK4,sK8,sK18)
& coll(sK8,sK0,sK1)
& circle(sK6,sK4,sK7,sK17)
& circle(sK5,sK4,sK7,sK16)
& circle(sK6,sK4,sK14,sK15)
& circle(sK5,sK4,sK12,sK13)
& midp(sK6,sK0,sK4)
& midp(sK5,sK2,sK4)
& circle(sK3,sK0,sK4,sK11)
& circle(sK3,sK0,sK1,sK2)
& ~ coll(sK8,sK7,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16),skolemize(X17,sK17),skolemize(X18,sK18),skolemize(X19,sK19),skolemize(X20,sK20),skolemize(X21,sK21),skolemize(X22,sK22)],[f99]) ).
fof(f250,plain,
midp(sK5,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f253,plain,
~ coll(sK8,sK7,sK10),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f288,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,[],[f138]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f301,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,[],[f162]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f306,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,[],[f168]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f173]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f311,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,[],[f176]) ).
fof(f312,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,[],[f178]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f186]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f324,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,[],[f195]) ).
fof(f325,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,[],[f196]) ).
fof(f326,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,[],[f197]) ).
fof(f327,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,[],[f198]) ).
fof(f333,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,[],[f207]) ).
fof(f334,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,[],[f209]) ).
fof(f335,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,[],[f211]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_49,negated_conjecture,
~ coll(sK8,sK7,sK10),
inference(cnf_transformation,[],[f253]) ).
tcf(c_52,negated_conjecture,
midp(sK5,sK2,sK4),
inference(cnf_transformation,[],[f250]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_90,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_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_127,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,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_134,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(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_144,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,[],[f334]) ).
tcf(c_145,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,[],[f335]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_158,plain,
( eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_161,plain,
( midp(sK4,sK4,sK4)
| ~ coll(sK4,sK4,sK4)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_163,plain,
( perp(sK4,sK4,sK4,sK4)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_169,plain,
( cyclic(sK4,sK4,sK4,sK4)
| ~ coll(sK4,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_203,plain,
( cong(sK4,sK4,sK4,sK4)
| ~ cyclic(sK4,sK4,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK4,X1)
| ~ midp(sK5,sK2,sK4)
| ~ midp(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_3672,plain,
( para(sK2,sK2,sK4,sK4)
| ~ midp(sK5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_3094]) ).
tcf(c_3777,plain,
coll(sK5,sK2,sK4),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_4006,plain,
( para(sK4,sK4,sK2,sK2)
| ~ para(sK2,sK2,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK2,sK2,sK4,sK4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK2,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4010,plain,
( para(sK4,sK4,sK4,sK4)
| ~ para(sK2,sK2,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK2,sK2,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_4009]) ).
tcf(c_4276,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_97,c_132]) ).
tcf(c_4462,plain,
! [X0: $i] :
( coll(sK4,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_3777,c_90]) ).
tcf(c_4987,plain,
coll(sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_3777,c_4462]) ).
tcf(c_5044,plain,
coll(sK4,sK5,sK4),
inference(superposition,[status(thm)],[c_4987,c_92]) ).
tcf(c_5683,plain,
! [X0: $i] :
( coll(sK4,X0,sK4)
| ~ coll(sK4,sK5,X0) ),
inference(superposition,[status(thm)],[c_5044,c_90]) ).
tcf(c_5688,plain,
( coll(sK4,sK4,sK4)
| ~ coll(sK4,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_5683]) ).
tcf(c_6836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ midp(X0,X3,X1)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_4276,c_112]) ).
tcf(c_7750,plain,
( coll(sK8,sK7,sK10)
| ~ coll(sK7,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_9348,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK4,X0,X1,sK2,sK2,X0,X1)
| ~ para(sK4,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_9349,plain,
( eqangle(sK4,sK4,sK4,sK4,sK2,sK2,sK4,sK4)
| ~ para(sK4,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_9348]) ).
tcf(c_12824,plain,
( coll(sK7,sK8,sK10)
| ~ para(sK7,sK8,sK7,sK10) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_12829,plain,
( coll(sK7,sK8,sK10)
| ~ coll(sK7,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_16676,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,X1,sK8,X2)
| ~ midp(X0,sK8,sK8)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_16677,plain,
( para(sK8,sK4,sK8,sK4)
| ~ midp(sK4,sK4,sK4)
| ~ midp(sK4,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_16676]) ).
tcf(c_17580,plain,
( para(sK7,sK8,sK7,sK10)
| ~ para(sK7,sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_17598,plain,
( coll(sK7,sK10,sK8)
| ~ coll(sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_18397,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK8)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_18398,plain,
( perp(sK4,sK4,sK4,sK8)
| ~ cong(sK4,sK4,sK4,sK4)
| ~ cong(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_18397]) ).
tcf(c_27444,plain,
! [X0: $i] :
( cong(X0,sK8,X0,sK8)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_27445,plain,
( cong(sK4,sK8,sK4,sK8)
| ~ midp(sK4,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_27444]) ).
tcf(c_29018,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK8,sK10)
| ~ cong(X0,sK10,X1,sK10)
| ~ cong(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_29019,plain,
( perp(sK4,sK4,sK8,sK10)
| ~ cong(sK4,sK10,sK4,sK10)
| ~ cong(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_29018]) ).
tcf(c_35677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK4,sK8)
| ~ perp(X2,X3,sK4,sK8)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_35680,plain,
( para(sK4,sK4,sK4,sK8)
| ~ perp(sK4,sK4,sK4,sK4)
| ~ perp(sK4,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_35677]) ).
tcf(c_37565,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK8,X0,X1)
| ~ perp(X0,X1,X1,sK8) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_37566,plain,
( perp(sK4,sK8,sK4,sK4)
| ~ perp(sK4,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_37565]) ).
tcf(c_38664,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK8,X1)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_38665,plain,
( perp(sK4,sK4,sK8,sK4)
| ~ cong(sK4,sK4,sK4,sK4)
| ~ cong(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_38664]) ).
tcf(c_50837,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK8,X0,X1)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_50838,plain,
( para(sK4,sK8,sK4,sK4)
| ~ para(sK4,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_50837]) ).
tcf(c_64596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK8,X2,X3,X1,sK8)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_64597,plain,
( eqangle(sK4,sK4,sK4,sK8,sK4,sK4,sK4,sK8)
| ~ para(sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_64596]) ).
tcf(c_71754,plain,
! [X0: $i,X1: $i] :
( coll(sK10,X1,sK8)
| cyclic(sK8,X0,sK10,X1)
| ~ eqangle(sK10,sK8,sK10,X0,X1,sK8,X1,X0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_71759,plain,
! [X0: $i] :
( eqangle(sK8,sK10,sK8,X0,sK7,sK10,sK7,X0)
| ~ eqangle(sK8,X0,sK8,sK10,sK7,X0,sK7,sK10) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_71976,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK8,sK8)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_71977,plain,
( midp(sK4,sK8,sK8)
| ~ midp(sK4,sK4,sK4)
| ~ para(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_71976]) ).
tcf(c_72003,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK10,X0,sK10,sK8)
| ~ eqangle(sK10,X0,X1,X2,sK10,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_72052,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,sK10,sK8,X2)
| ~ perp(sK8,sK10,X0,X1)
| ~ perp(X0,X1,sK8,X2) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_72053,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,sK10,sK8,X2)
| ~ eqangle(sK8,sK10,X0,X1,sK8,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_72055,plain,
( para(sK8,sK10,sK8,sK4)
| ~ perp(sK4,sK4,sK8,sK4)
| ~ perp(sK8,sK10,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_72052]) ).
tcf(c_72164,plain,
( eqangle(sK8,sK10,sK8,sK8,sK7,sK10,sK7,sK8)
| ~ eqangle(sK8,sK8,sK8,sK10,sK7,sK8,sK7,sK10) ),
inference(instantiation,[status(thm)],[c_71759]) ).
tcf(c_72190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK8,sK10,sK8,X5,sK7,sK10,sK7,X4)
| ~ eqangle(sK8,sK10,sK8,X5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK7,sK10,sK7,X4) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_72251,plain,
! [X0: $i,X1: $i] :
( eqangle(sK10,sK8,sK10,X1,X0,sK8,X0,X1)
| ~ eqangle(sK10,sK8,X0,sK8,sK10,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_72307,plain,
! [X0: $i,X1: $i] :
( eqangle(sK10,sK8,X1,sK8,sK10,X0,X1,sK8)
| ~ para(sK10,sK8,sK10,X0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_72311,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK10,sK8,X0,sK8,sK10,X2,X0,X1)
| ~ eqangle(X0,sK8,sK10,sK8,X0,X1,sK10,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_72329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( eqangle(X0,X1,X2,X3,sK7,sK10,sK7,X8)
| ~ eqangle(X4,X5,X6,X7,sK7,sK10,sK7,X8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_72419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK7,sK10,sK7,sK8)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK7,sK10,sK7,sK8,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_72420,plain,
( para(sK7,sK10,sK7,sK8)
| ~ para(sK4,sK4,sK4,sK4)
| ~ eqangle(sK7,sK10,sK7,sK8,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_72419]) ).
tcf(c_72726,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK10,sK8)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK10,X1,sK8)
| ~ para(X0,sK8,X1,sK10) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_72727,plain,
( midp(sK4,sK10,sK8)
| ~ midp(sK4,sK4,sK4)
| ~ para(sK4,sK10,sK4,sK8)
| ~ para(sK4,sK8,sK4,sK10) ),
inference(instantiation,[status(thm)],[c_72726]) ).
tcf(c_73288,plain,
! [X0: $i] :
( cyclic(X0,sK10,sK8,sK7)
| ~ cyclic(X0,sK8,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_73477,plain,
! [X0: $i] :
( para(X0,sK10,X0,sK8)
| ~ para(X0,sK8,X0,sK10) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_73478,plain,
( para(sK4,sK10,sK4,sK8)
| ~ para(sK4,sK8,sK4,sK10) ),
inference(instantiation,[status(thm)],[c_73477]) ).
tcf(c_74123,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK10,sK10)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK10,X1,sK10) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_74185,plain,
! [X0: $i,X1: $i] :
( perp(sK8,sK10,X0,X1)
| ~ perp(X0,X1,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_74186,plain,
( perp(sK8,sK10,sK4,sK4)
| ~ perp(sK4,sK4,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_74185]) ).
tcf(c_74740,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK8,X0,sK10)
| ~ perp(X1,X2,X0,sK10)
| ~ perp(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_74743,plain,
( para(sK4,sK8,sK4,sK10)
| ~ perp(sK4,sK4,sK4,sK10)
| ~ perp(sK4,sK8,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_74740]) ).
tcf(c_74819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK8,X3,sK8)
| ~ eqangle(X0,sK8,X1,X2,X3,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_74820,plain,
( para(sK4,sK8,sK4,sK8)
| ~ eqangle(sK4,sK8,sK4,sK4,sK4,sK8,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_74819]) ).
tcf(c_75154,plain,
! [X0: $i] :
( para(sK8,sK10,sK8,sK10)
| ~ eqangle(sK8,sK10,sK8,X0,sK8,sK10,sK8,X0) ),
inference(instantiation,[status(thm)],[c_72053]) ).
tcf(c_75156,plain,
( para(sK8,sK10,sK8,sK10)
| ~ eqangle(sK8,sK10,sK8,sK4,sK8,sK10,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_75154]) ).
tcf(c_75162,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK8,sK10,X1,X2,sK8,X0,X1,X2)
| ~ para(sK8,sK10,sK8,X0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_75163,plain,
( eqangle(sK8,sK10,sK4,sK4,sK8,sK4,sK4,sK4)
| ~ para(sK8,sK10,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_75162]) ).
tcf(c_75710,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,sK10,sK8,X0,X1,sK10,X1,X0)
| ~ eqangle(sK8,X0,sK8,sK10,X1,X0,X1,sK10) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_76338,plain,
! [X0: $i,X1: $i] :
( eqangle(sK10,sK8,X0,sK8,sK10,sK8,X0,X1)
| ~ eqangle(X0,sK8,sK10,sK8,X0,X1,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_72311]) ).
tcf(c_76339,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK8,sK10,sK8,X0,X1,sK10,sK8)
| ~ para(X0,sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_76668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(sK8,sK10,sK8,X2,X0,X1,X3,X4)
| ~ eqangle(sK8,sK10,X0,X1,sK8,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_76669,plain,
( eqangle(sK8,sK10,sK8,sK4,sK4,sK4,sK4,sK4)
| ~ eqangle(sK8,sK10,sK4,sK4,sK8,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_76668]) ).
tcf(c_76672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(sK8,sK10,sK8,X0,X3,X4,X1,X2)
| ~ eqangle(sK8,X0,sK8,sK10,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_76845,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,X0,X1,sK10,sK7,X0,sK7,sK10)
| ~ cyclic(X0,sK10,X1,sK7) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_76879,plain,
! [X0: $i,X1: $i,X2: $i] :
( circle(X0,X1,X2,sK8)
| ~ midp(X0,X2,X1)
| ~ cong(X0,X1,X0,sK8) ),
inference(instantiation,[status(thm)],[c_6836]) ).
tcf(c_76896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X3,X4,sK8,sK10,sK8,X0)
| ~ eqangle(sK8,sK10,sK8,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_76897,plain,
( eqangle(sK4,sK4,sK4,sK4,sK8,sK10,sK8,sK4)
| ~ eqangle(sK8,sK10,sK8,sK4,sK4,sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_76896]) ).
tcf(c_76942,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK8,X2,sK8,sK10,X1,sK8,X1,sK10)
| ~ perp(X0,sK8,sK8,X2)
| ~ circle(X0,sK8,sK10,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_76946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK8,sK10,X2,X3,sK8,sK10)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_86738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,sK8,X0,X1,X3,sK8,X0,X1)
| ~ eqangle(X0,X1,X2,sK8,X0,X1,X3,sK8) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_86739,plain,
( eqangle(sK4,sK8,sK4,sK4,sK4,sK8,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK8,sK4,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_86738]) ).
tcf(c_87203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,sK8,sK8,X3)
| ~ perp(X1,X2,sK8,X3)
| ~ para(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_87204,plain,
( perp(sK4,sK8,sK8,sK4)
| ~ perp(sK4,sK4,sK8,sK4)
| ~ para(sK4,sK8,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_87203]) ).
tcf(c_87988,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK10)
| ~ cong(X0,sK10,X2,sK10)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_87989,plain,
( perp(sK4,sK4,sK4,sK10)
| ~ cong(sK4,sK4,sK4,sK4)
| ~ cong(sK4,sK10,sK4,sK10) ),
inference(instantiation,[status(thm)],[c_87988]) ).
tcf(c_88971,plain,
! [X0: $i] :
( cong(X0,sK10,X0,sK10)
| ~ midp(X0,sK10,sK10) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_88972,plain,
( cong(sK4,sK10,sK4,sK10)
| ~ midp(sK4,sK10,sK10) ),
inference(instantiation,[status(thm)],[c_88971]) ).
tcf(c_89960,plain,
! [X0: $i] :
( eqangle(sK10,sK8,X0,sK8,sK10,sK8,X0,sK8)
| ~ para(sK10,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_72307]) ).
tcf(c_90207,plain,
! [X0: $i] :
( eqangle(sK10,sK8,X0,sK8,sK10,sK8,X0,sK8)
| ~ eqangle(X0,sK8,sK10,sK8,X0,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_76338]) ).
tcf(c_90208,plain,
! [X0: $i] :
( para(sK10,sK8,sK10,sK8)
| ~ eqangle(sK10,sK8,X0,sK8,sK10,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_72003]) ).
tcf(c_90209,plain,
( eqangle(sK10,sK8,sK4,sK8,sK10,sK8,sK4,sK8)
| ~ eqangle(sK4,sK8,sK10,sK8,sK4,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_90207]) ).
tcf(c_90210,plain,
( para(sK10,sK8,sK10,sK8)
| ~ eqangle(sK10,sK8,sK4,sK8,sK10,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_90208]) ).
tcf(c_91331,plain,
! [X0: $i] :
( eqangle(X0,sK8,sK10,sK8,X0,sK8,sK10,sK8)
| ~ para(X0,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_76339]) ).
tcf(c_91333,plain,
( eqangle(sK4,sK8,sK10,sK8,sK4,sK8,sK10,sK8)
| ~ para(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_91331]) ).
tcf(c_91811,plain,
! [X0: $i] :
( eqangle(sK8,sK10,sK8,X0,sK8,sK10,sK8,X0)
| ~ eqangle(sK8,X0,sK8,sK10,sK8,X0,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_75710]) ).
tcf(c_91812,plain,
! [X0: $i] :
( eqangle(sK8,X0,sK8,sK10,sK8,X0,sK8,sK10)
| ~ para(sK8,X0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_76946]) ).
tcf(c_91813,plain,
( eqangle(sK8,sK10,sK8,sK4,sK8,sK10,sK8,sK4)
| ~ eqangle(sK8,sK4,sK8,sK10,sK8,sK4,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_91811]) ).
tcf(c_91814,plain,
( eqangle(sK8,sK4,sK8,sK10,sK8,sK4,sK8,sK10)
| ~ para(sK8,sK4,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_91812]) ).
tcf(c_92635,plain,
! [X0: $i] :
( midp(X0,sK10,sK10)
| ~ midp(X0,sK8,sK8)
| ~ para(sK8,sK10,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_74123]) ).
tcf(c_92636,plain,
( midp(sK4,sK10,sK10)
| ~ midp(sK4,sK8,sK8)
| ~ para(sK8,sK10,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_92635]) ).
tcf(c_93125,plain,
! [X0: $i] :
( circle(X0,sK8,sK10,sK8)
| ~ midp(X0,sK10,sK8)
| ~ cong(X0,sK8,X0,sK8) ),
inference(instantiation,[status(thm)],[c_76879]) ).
tcf(c_93126,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,X1,sK8,sK10,sK8,sK8,sK8,sK10)
| ~ circle(X0,sK8,sK10,sK8)
| ~ perp(X0,sK8,sK8,X1) ),
inference(instantiation,[status(thm)],[c_76942]) ).
tcf(c_93128,plain,
( circle(sK4,sK8,sK10,sK8)
| ~ midp(sK4,sK10,sK8)
| ~ cong(sK4,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_93125]) ).
tcf(c_93130,plain,
( eqangle(sK8,sK4,sK8,sK10,sK8,sK8,sK8,sK10)
| ~ perp(sK4,sK8,sK8,sK4)
| ~ circle(sK4,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_93126]) ).
tcf(c_93814,plain,
! [X0: $i] :
( coll(sK10,sK7,sK8)
| cyclic(sK8,X0,sK10,sK7)
| ~ eqangle(sK10,sK8,sK10,X0,sK7,sK8,sK7,X0) ),
inference(instantiation,[status(thm)],[c_71754]) ).
tcf(c_94503,plain,
( cyclic(sK8,sK10,sK8,sK7)
| ~ cyclic(sK8,sK8,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_73288]) ).
tcf(c_94898,plain,
! [X0: $i] :
( eqangle(sK10,sK8,sK10,X0,sK7,sK8,sK7,X0)
| ~ eqangle(sK10,sK8,sK7,sK8,sK10,X0,sK7,X0) ),
inference(instantiation,[status(thm)],[c_72251]) ).
tcf(c_97848,plain,
( eqangle(sK10,sK8,sK7,sK8,sK10,sK8,sK7,sK8)
| ~ para(sK10,sK8,sK10,sK8) ),
inference(instantiation,[status(thm)],[c_89960]) ).
tcf(c_98615,plain,
( coll(sK10,sK7,sK8)
| cyclic(sK8,sK8,sK10,sK7)
| ~ eqangle(sK10,sK8,sK10,sK8,sK7,sK8,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_93814]) ).
tcf(c_107882,plain,
( eqangle(sK10,sK8,sK10,sK8,sK7,sK8,sK7,sK8)
| ~ eqangle(sK10,sK8,sK7,sK8,sK10,sK8,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_94898]) ).
tcf(c_110298,plain,
( eqangle(sK8,sK8,sK8,sK10,sK7,sK8,sK7,sK10)
| ~ cyclic(sK8,sK10,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_76845]) ).
tcf(c_120491,plain,
! [X0: $i] :
( eqangle(sK8,sK10,sK8,X0,sK7,sK10,sK7,sK8)
| ~ eqangle(sK8,sK10,sK8,sK8,sK7,sK10,sK7,sK8)
| ~ eqangle(sK8,sK10,sK8,X0,sK8,sK10,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_72190]) ).
tcf(c_120495,plain,
( eqangle(sK8,sK10,sK8,sK4,sK7,sK10,sK7,sK8)
| ~ eqangle(sK8,sK10,sK8,sK4,sK8,sK10,sK8,sK8)
| ~ eqangle(sK8,sK10,sK8,sK8,sK7,sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_120491]) ).
tcf(c_131845,plain,
! [X0: $i] :
( eqangle(sK8,sK10,sK8,X0,sK8,sK10,sK8,sK8)
| ~ eqangle(sK8,X0,sK8,sK10,sK8,sK8,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_76672]) ).
tcf(c_131846,plain,
( eqangle(sK8,sK10,sK8,sK4,sK8,sK10,sK8,sK8)
| ~ eqangle(sK8,sK4,sK8,sK10,sK8,sK8,sK8,sK10) ),
inference(instantiation,[status(thm)],[c_131845]) ).
tcf(c_133430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK7,sK10,sK7,sK8)
| ~ eqangle(sK8,sK10,sK8,X4,sK7,sK10,sK7,sK8)
| ~ eqangle(X0,X1,X2,X3,sK8,sK10,sK8,X4) ),
inference(instantiation,[status(thm)],[c_72329]) ).
tcf(c_133431,plain,
( eqangle(sK4,sK4,sK4,sK4,sK7,sK10,sK7,sK8)
| ~ eqangle(sK4,sK4,sK4,sK4,sK8,sK10,sK8,sK4)
| ~ eqangle(sK8,sK10,sK8,sK4,sK7,sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_133430]) ).
tcf(c_165463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK10,sK7,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK7,sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_165464,plain,
( eqangle(sK7,sK10,sK7,sK8,sK4,sK4,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK7,sK10,sK7,sK8) ),
inference(instantiation,[status(thm)],[c_165463]) ).
tcf(c_165465,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_165464,c_133431,c_131846,c_120495,c_110298,c_107882,c_98615,c_97848,c_94503,c_93130,c_93128,c_92636,c_91814,c_91813,c_91333,c_90210,c_90209,c_88972,c_87989,c_87204,c_86739,c_76897,c_76669,c_75163,c_75156,c_74820,c_74743,c_74186,c_73478,c_72727,c_72420,c_72164,c_72055,c_71977,c_64597,c_50838,c_38665,c_37566,c_35680,c_29019,c_27445,c_18398,c_17598,c_17580,c_16677,c_12829,c_12824,c_9349,c_7750,c_5688,c_5044,c_4010,c_4006,c_3672,c_203,c_169,c_163,c_161,c_158,c_49,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO600+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Sep 23 12:30:42 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 64.35/12.36 % SZS status Started for theBenchmark.p
% 64.35/12.36 % SZS status Theorem for theBenchmark.p
% 64.35/12.36
% 64.35/12.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 64.35/12.36
% 64.35/12.36 % ------ iProver source info
% 64.35/12.36
% 64.35/12.36 % git: date: 2026-07-19 20:42:38 +0200
% 64.35/12.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 64.35/12.36 % git: non_committed_changes: false
% 64.35/12.36
% 64.35/12.36 % ------ Parsing...
% 64.35/12.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 64.35/12.36
% 64.35/12.36 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 64.35/12.36
% 64.35/12.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 64.35/12.36 % ------ Proving...
% 64.35/12.36 % ------ Problem Properties
% 64.35/12.36
% 64.35/12.36 %
% 64.35/12.36 % clauses 102
% 64.35/12.36 % conjectures 15
% 64.35/12.36 % EPR 69
% 64.35/12.36 % Horn 97
% 64.35/12.36 % unary 15
% 64.35/12.36 % binary 24
% 64.35/12.36 % lits 271
% 64.35/12.36 % lits eq 0
% 64.35/12.36 % fd_pure 0
% 64.35/12.36 % fd_pseudo 0
% 64.35/12.36 % fd_cond 0
% 64.35/12.36 % fd_pseudo_cond 0
% 64.35/12.36 % AC symbols 0
% 64.35/12.36
% 64.35/12.36 % ------ Schedule dynamic 5 is on
% 64.35/12.36
% 64.35/12.36 % ------ no equalities: superposition off
% 64.35/12.36
% 64.35/12.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 64.35/12.36
% 64.35/12.36
% 64.35/12.36 % ------
% 64.35/12.36 % Current options:
% 64.35/12.36 % ------
% 64.35/12.36
% 64.35/12.36
% 64.35/12.36 %
% 64.35/12.36
% 64.35/12.36 % ------ Proving...
% 64.35/12.36 % Proof_search_loop: time out after: 8663 full_loop iterations
% 64.35/12.36
% 64.35/12.36 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 64.35/12.36
% 64.35/12.36
% 64.35/12.36 % ------
% 64.35/12.36 % Current options:
% 64.35/12.36 % ------
% 64.35/12.36
% 64.35/12.36
% 64.35/12.36 %
% 64.35/12.36
% 64.35/12.36 % ------ Proving...
% 64.35/12.36 %
% 64.35/12.36
% 64.35/12.36 % SZS status Theorem for theBenchmark.p
% 64.35/12.36
% 64.35/12.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 64.35/12.36
% 64.35/12.36
%------------------------------------------------------------------------------