%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:21:42 PM UTC 2026
% Result : Theorem 108.69s 30.29s
% Output : CNFRefutation 108.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 680 ( 122 unt; 0 def)
% Number of atoms : 1656 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1847 ( 871 ~; 864 |; 68 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-7 aty)
% Number of variables : 1514 ( 0 sgn1491 !; 23 ?; 682 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X7,X0,X4)
& circle(X5,X0,X7,X9)
& coll(X6,X0,X3)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X2)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> para(X1,X2,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110995) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X7,X0,X4)
& circle(X5,X0,X7,X9)
& coll(X6,X0,X3)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X2)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> para(X1,X2,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X7,X0,X4)
& circle(X5,X0,X7,X9)
& coll(X6,X0,X3)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X2)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1)
& ~ para(X1,X2,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X7,X0,X4)
& circle(X5,X0,X7,X9)
& coll(X6,X0,X3)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X2)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1)
& ~ para(X1,X2,X6,X7) ),
inference(flattening,[],[f98]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f110]) ).
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(f126,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(f127,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,[],[f126]) ).
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,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(f137,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,[],[f136]) ).
fof(f142,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(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f146]) ).
fof(f148,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(f149,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(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,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(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f152]) ).
fof(f154,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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f171]) ).
fof(f177,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(f178,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,[],[f177]) ).
fof(f179,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(f180,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,[],[f179]) ).
fof(f181,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(f182,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f181]) ).
fof(f183,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(f184,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,[],[f183]) ).
fof(f186,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(f187,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,[],[f186]) ).
fof(f188,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(f189,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(f190,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(f191,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(f192,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(f193,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f196,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(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
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(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f220,plain,
( coll(sK7,sK0,sK4)
& circle(sK5,sK0,sK7,sK9)
& coll(sK6,sK0,sK3)
& circle(sK5,sK0,sK6,sK8)
& circle(sK5,sK0,sK1,sK2)
& coll(sK4,sK1,sK2)
& eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3)
& midp(sK3,sK2,sK1)
& ~ para(sK1,sK2,sK6,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),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)],[f99]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK16(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X7,sK16(X0,X1,X2,X3,X4,X5,X6))],[f111]) ).
fof(f239,plain,
coll(sK7,sK0,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK6,sK0,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
circle(sK5,sK0,sK6,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
circle(sK5,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
coll(sK4,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
midp(sK3,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ para(sK1,sK2,sK6,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK16(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f227]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f273,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,[],[f127]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f283,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,[],[f137]) ).
fof(f286,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,[],[f143]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f291,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,[],[f151]) ).
fof(f292,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,[],[f153]) ).
fof(f293,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,[],[f155]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f164]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f307,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,[],[f178]) ).
fof(f308,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,[],[f180]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f310,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,[],[f184]) ).
fof(f312,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,[],[f187]) ).
fof(f313,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,[],[f188]) ).
fof(f314,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,[],[f189]) ).
fof(f315,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,[],[f190]) ).
fof(f316,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,[],[f191]) ).
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,[],[f193]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f320,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,[],[f197]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f327,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(f328,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(f331,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
~ para(sK1,sK2,sK6,sK7),
inference(cnf_transformation,[],[f247]) ).
tcf(c_50,negated_conjecture,
midp(sK3,sK2,sK1),
inference(cnf_transformation,[],[f246]) ).
tcf(c_51,negated_conjecture,
eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3),
inference(cnf_transformation,[],[f245]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK1,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_53,negated_conjecture,
circle(sK5,sK0,sK1,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_54,negated_conjecture,
circle(sK5,sK0,sK6,sK8),
inference(cnf_transformation,[],[f242]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK0,sK3),
inference(cnf_transformation,[],[f241]) ).
tcf(c_57,negated_conjecture,
coll(sK7,sK0,sK4),
inference(cnf_transformation,[],[f239]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK16(X1,X2,X4,X5,X0,X3,X6),X1,X6)
| ~ coll(X5,X1,X2)
| ~ coll(X4,X1,X2)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_123,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,[],[f313]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_125,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,[],[f315]) ).
tcf(c_126,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,[],[f316]) ).
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_130,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,[],[f320]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_155,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_157,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_158,plain,
( circle(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_818,plain,
! [X0: $i] :
( perp(sK5,sK0,sK0,X0)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_53,c_117]) ).
tcf(c_819,plain,
( perp(sK5,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_2267,plain,
( coll(sK1,sK4,sK2)
| ~ coll(sK4,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2268,plain,
( coll(sK0,sK6,sK3)
| ~ coll(sK6,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2269,plain,
( coll(sK0,sK7,sK4)
| ~ coll(sK7,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2270,plain,
( coll(sK4,sK2,sK1)
| ~ coll(sK4,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2271,plain,
( coll(sK6,sK3,sK0)
| ~ coll(sK6,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2272,plain,
( coll(sK7,sK4,sK0)
| ~ coll(sK7,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2273,plain,
( midp(sK3,sK1,sK2)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2274,plain,
( cong(sK3,sK2,sK3,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2284,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2338,plain,
( eqangle(sK2,sK0,sK0,sK3,sK4,sK0,sK0,sK1)
| ~ eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_2363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK16(sK2,sK1,X1,X2,sK3,X0,X3),sK2,X3)
| ~ midp(sK3,sK2,sK1)
| ~ coll(X2,sK2,sK1)
| ~ coll(X1,sK2,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_2369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK0,sK3)
| ~ eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_2400,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK4,sK2)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2403,plain,
( coll(sK2,sK0,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2400]) ).
tcf(c_2419,plain,
! [X0: $i] :
( coll(sK3,X0,sK0)
| ~ coll(sK0,sK6,sK3)
| ~ coll(sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2438,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK7,sK4)
| ~ coll(sK0,sK7,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2457,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK2,sK1)
| ~ coll(sK4,sK2,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2460,plain,
( coll(sK1,sK0,sK4)
| ~ coll(sK4,sK2,sK0)
| ~ coll(sK4,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2457]) ).
tcf(c_2476,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK3,sK0)
| ~ coll(sK6,sK3,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2478,plain,
( coll(sK3,sK6,sK0)
| ~ coll(sK6,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2479,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_2495,plain,
! [X0: $i] :
( coll(sK0,X0,sK7)
| ~ coll(sK7,sK4,sK0)
| ~ coll(sK7,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2498,plain,
( coll(sK0,sK0,sK7)
| ~ coll(sK7,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2495]) ).
tcf(c_2503,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK2)
| ~ midp(sK3,sK1,sK2)
| ~ perp(X0,sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2504,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ midp(sK3,sK1,sK2)
| ~ perp(sK0,sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2503]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK2)
| ~ midp(sK3,sK1,sK2)
| ~ midp(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2515,plain,
( cong(sK3,sK1,sK3,sK2)
| ~ midp(sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i] :
( cong(sK3,sK2,X0,X1)
| ~ cong(sK3,sK2,sK3,sK1)
| ~ cong(sK3,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2642,plain,
( para(sK2,sK2,sK1,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2284]) ).
tcf(c_2643,plain,
( para(sK2,sK1,sK1,sK2)
| ~ midp(sK3,sK2,sK1)
| ~ midp(sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2284]) ).
tcf(c_2654,plain,
( eqangle(sK2,sK0,sK0,sK3,sK2,sK0,sK0,sK3)
| ~ eqangle(sK4,sK0,sK0,sK1,sK2,sK0,sK0,sK3)
| ~ eqangle(sK2,sK0,sK0,sK3,sK4,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2369]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK2,X0,X1,sK1,sK1,X0,X1)
| ~ para(sK2,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2764,plain,
( eqangle(sK2,sK2,sK0,sK0,sK1,sK1,sK0,sK0)
| ~ para(sK2,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2761]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK2,sK2,sK1,sK1)
| ~ eqangle(X0,X1,X2,X3,sK2,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2768,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK2,sK2,sK1,sK1)
| ~ eqangle(sK0,sK0,sK0,sK0,sK2,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2767]) ).
tcf(c_2954,plain,
coll(sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_79]) ).
tcf(c_2959,plain,
coll(sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_79]) ).
tcf(c_2964,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_2965,plain,
coll(sK0,sK6,sK3),
inference(superposition,[status(thm)],[c_55,c_85]) ).
tcf(c_2971,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_2973,plain,
coll(sK0,sK7,sK4),
inference(superposition,[status(thm)],[c_57,c_85]) ).
tcf(c_3016,plain,
coll(sK4,sK2,sK1),
inference(superposition,[status(thm)],[c_52,c_86]) ).
tcf(c_3017,plain,
coll(sK6,sK3,sK0),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_3023,plain,
coll(sK4,sK2,sK1),
inference(superposition,[status(thm)],[c_52,c_86]) ).
tcf(c_3024,plain,
coll(sK6,sK3,sK0),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_3025,plain,
coll(sK7,sK4,sK0),
inference(superposition,[status(thm)],[c_57,c_86]) ).
tcf(c_3053,plain,
coll(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_2959,c_86]) ).
tcf(c_3054,plain,
coll(sK2,sK3,sK1),
inference(superposition,[status(thm)],[c_2959,c_85]) ).
tcf(c_3168,plain,
coll(sK2,sK1,sK3),
inference(superposition,[status(thm)],[c_3054,c_86]) ).
tcf(c_3171,plain,
( coll(sK2,sK2,sK1)
| ~ coll(sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2400]) ).
tcf(c_3212,plain,
midp(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_50,c_110]) ).
tcf(c_3217,plain,
midp(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_50,c_110]) ).
tcf(c_3548,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_3549,plain,
! [X0: $i] :
( coll(sK3,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_3550,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK0,X0) ),
inference(superposition,[status(thm)],[c_57,c_84]) ).
tcf(c_3551,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_2954,c_84]) ).
tcf(c_3552,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_2964,c_84]) ).
tcf(c_3553,plain,
! [X0: $i] :
( coll(sK3,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_2965,c_84]) ).
tcf(c_3555,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_3016,c_84]) ).
tcf(c_3556,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK3,X0) ),
inference(superposition,[status(thm)],[c_3017,c_84]) ).
tcf(c_3632,plain,
( coll(sK3,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3553]) ).
tcf(c_3642,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_3643,plain,
! [X0: $i] :
( coll(sK3,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_3644,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK0,X0) ),
inference(superposition,[status(thm)],[c_57,c_84]) ).
tcf(c_3646,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_2971,c_84]) ).
tcf(c_3648,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK7,X0) ),
inference(superposition,[status(thm)],[c_2973,c_84]) ).
tcf(c_3649,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_3023,c_84]) ).
tcf(c_3650,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK3,X0) ),
inference(superposition,[status(thm)],[c_3024,c_84]) ).
tcf(c_3651,plain,
! [X0: $i] :
( coll(sK0,X0,sK7)
| ~ coll(sK7,sK4,X0) ),
inference(superposition,[status(thm)],[c_3025,c_84]) ).
tcf(c_3654,plain,
! [X0: $i] :
( coll(sK2,X0,sK3)
| ~ coll(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_3053,c_84]) ).
tcf(c_3663,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_3168,c_84]) ).
tcf(c_3730,plain,
( para(sK1,sK2,sK2,sK1)
| ~ para(sK2,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_3738,plain,
( coll(sK3,sK3,sK0)
| ~ coll(sK0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_2419]) ).
tcf(c_3804,plain,
( para(sK2,sK0,sK2,sK0)
| ~ eqangle(sK2,sK0,sK0,sK3,sK2,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_3818,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3820,plain,
( coll(sK0,sK6,sK0)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_3818]) ).
tcf(c_3843,plain,
( coll(sK0,sK6,sK6)
| ~ coll(sK6,sK3,sK0)
| ~ coll(sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_3866,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK7,sK0,X1)
| ~ coll(sK0,X1,sK7)
| ~ eqangle(sK0,X0,sK0,sK7,X1,X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_3867,plain,
( cyclic(sK0,sK7,sK0,sK0)
| ~ coll(sK0,sK0,sK7)
| ~ eqangle(sK0,sK0,sK0,sK7,sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_3866]) ).
tcf(c_3889,plain,
( para(sK3,sK3,sK2,sK2)
| ~ midp(sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2513]) ).
tcf(c_3894,plain,
( cong(sK3,sK2,sK3,sK2)
| ~ cong(sK3,sK2,sK3,sK1)
| ~ cong(sK3,sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2557]) ).
tcf(c_3905,plain,
coll(sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_52,c_3548]) ).
tcf(c_3910,plain,
coll(sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_52,c_3642]) ).
tcf(c_3918,plain,
! [X0: $i] :
( coll(sK4,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_3905,c_84]) ).
tcf(c_3924,plain,
! [X0: $i] :
( coll(sK4,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_3910,c_84]) ).
tcf(c_3948,plain,
coll(sK3,sK3,sK6),
inference(superposition,[status(thm)],[c_55,c_3549]) ).
tcf(c_3953,plain,
coll(sK3,sK3,sK6),
inference(superposition,[status(thm)],[c_55,c_3643]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_4039,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_3212,c_97]) ).
tcf(c_4052,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_3217,c_97]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_4104,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_4105,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK2)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_3217,c_98]) ).
tcf(c_4200,plain,
! [X0: $i] :
( coll(sK6,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_3948,c_84]) ).
tcf(c_4201,plain,
coll(sK3,sK6,sK3),
inference(superposition,[status(thm)],[c_3948,c_86]) ).
tcf(c_4206,plain,
coll(sK3,sK6,sK3),
inference(superposition,[status(thm)],[c_3953,c_86]) ).
tcf(c_4257,plain,
! [X0: $i] :
( coll(sK3,X0,sK3)
| ~ coll(sK3,sK6,X0) ),
inference(superposition,[status(thm)],[c_4201,c_84]) ).
tcf(c_4262,plain,
( coll(sK3,sK0,sK3)
| ~ coll(sK3,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_4257]) ).
tcf(c_4263,plain,
! [X0: $i] :
( coll(sK3,X0,sK3)
| ~ coll(sK3,sK6,X0) ),
inference(superposition,[status(thm)],[c_4206,c_84]) ).
tcf(c_4289,plain,
coll(sK4,sK4,sK7),
inference(superposition,[status(thm)],[c_57,c_3550]) ).
tcf(c_4294,plain,
coll(sK4,sK4,sK7),
inference(superposition,[status(thm)],[c_57,c_3644]) ).
tcf(c_4296,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,X0,X1)
| ~ para(sK1,sK2,sK2,sK1)
| ~ para(sK2,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_4299,plain,
( para(sK1,sK2,sK1,sK2)
| ~ para(sK1,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4303,plain,
( para(sK1,sK2,sK0,sK0)
| ~ para(sK2,sK1,sK0,sK0)
| ~ para(sK1,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_4296]) ).
tcf(c_4308,plain,
! [X0: $i] :
( coll(sK7,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4289,c_84]) ).
tcf(c_4313,plain,
! [X0: $i] :
( coll(sK7,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4294,c_84]) ).
tcf(c_4362,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,X1,sK1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4038,c_105]) ).
tcf(c_4373,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,X1,sK1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4052,c_105]) ).
tcf(c_4384,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK3)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4090,c_104]) ).
tcf(c_4400,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK3)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4104,c_104]) ).
tcf(c_4483,plain,
coll(sK1,sK1,sK3),
inference(superposition,[status(thm)],[c_2954,c_3551]) ).
tcf(c_4490,plain,
coll(sK1,sK3,sK1),
inference(superposition,[status(thm)],[c_4483,c_86]) ).
tcf(c_4522,plain,
coll(sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_2964,c_3552]) ).
tcf(c_4765,plain,
coll(sK3,sK1,sK1),
inference(superposition,[status(thm)],[c_4490,c_85]) ).
tcf(c_4826,plain,
coll(sK2,sK1,sK2),
inference(superposition,[status(thm)],[c_4522,c_86]) ).
tcf(c_4947,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_3016,c_3555]) ).
tcf(c_4953,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_3023,c_3649]) ).
tcf(c_4956,plain,
coll(sK1,sK4,sK1),
inference(superposition,[status(thm)],[c_4947,c_86]) ).
tcf(c_4962,plain,
coll(sK1,sK4,sK1),
inference(superposition,[status(thm)],[c_4953,c_86]) ).
tcf(c_4970,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_3017,c_3556]) ).
tcf(c_4976,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_3024,c_3650]) ).
tcf(c_4979,plain,
coll(sK0,sK6,sK0),
inference(superposition,[status(thm)],[c_4970,c_86]) ).
tcf(c_4984,plain,
! [X0: $i] :
( coll(sK6,X0,sK0)
| ~ coll(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_4976,c_84]) ).
tcf(c_5298,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_4826,c_84]) ).
tcf(c_5303,plain,
( coll(sK2,sK0,sK2)
| ~ coll(sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_5298]) ).
tcf(c_5373,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK16(sK2,sK1,sK2,X1,sK3,X0,X2),sK2,X2)
| ~ coll(sK2,sK2,sK1)
| ~ midp(sK3,sK2,sK1)
| ~ coll(X1,sK2,sK1)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_2363]) ).
tcf(c_5651,plain,
coll(sK0,sK0,sK7),
inference(superposition,[status(thm)],[c_3025,c_3651]) ).
tcf(c_5699,plain,
coll(sK4,sK4,sK2),
inference(superposition,[status(thm)],[c_3905,c_3918]) ).
tcf(c_5705,plain,
coll(sK4,sK4,sK2),
inference(superposition,[status(thm)],[c_3910,c_3924]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK3,X0,X1)
| ~ para(sK3,sK3,sK2,sK2)
| ~ para(sK2,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_5768,plain,
( para(sK3,sK3,sK0,sK0)
| ~ para(sK3,sK3,sK2,sK2)
| ~ para(sK2,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5761]) ).
tcf(c_5823,plain,
coll(sK6,sK6,sK3),
inference(superposition,[status(thm)],[c_3948,c_4200]) ).
tcf(c_5872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,X3)
| ~ midp(sK3,X2,X3)
| ~ para(X0,X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_4039,c_103]) ).
tcf(c_5874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK1)
| ~ midp(sK3,X2,X3)
| ~ para(X0,X1,sK2,X2) ),
inference(superposition,[status(thm)],[c_4362,c_103]) ).
tcf(c_5890,plain,
( para(sK0,sK0,sK0,sK1)
| ~ midp(sK3,sK0,sK0)
| ~ para(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_5874]) ).
tcf(c_5903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,X3)
| ~ midp(sK3,X2,X3)
| ~ para(X0,X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_4053,c_103]) ).
tcf(c_5904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK2)
| ~ midp(X2,sK1,X3)
| ~ para(X0,X1,X2,sK3) ),
inference(superposition,[status(thm)],[c_4105,c_103]) ).
tcf(c_5905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK1)
| ~ midp(sK3,X2,X3)
| ~ para(X0,X1,sK2,X2) ),
inference(superposition,[status(thm)],[c_4373,c_103]) ).
tcf(c_5995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ midp(X0,X1,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_107,c_119]) ).
tcf(c_6336,plain,
coll(sK2,sK1,sK1),
inference(superposition,[status(thm)],[c_4956,c_3552]) ).
tcf(c_6343,plain,
coll(sK2,sK1,sK1),
inference(superposition,[status(thm)],[c_4962,c_3646]) ).
tcf(c_6358,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_4979,c_84]) ).
tcf(c_6360,plain,
coll(sK6,sK0,sK0),
inference(superposition,[status(thm)],[c_4979,c_85]) ).
tcf(c_6364,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_6358]) ).
tcf(c_6463,plain,
coll(sK6,sK3,sK6),
inference(superposition,[status(thm)],[c_5823,c_86]) ).
tcf(c_6474,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK2,sK2,X0,X1,sK1,sK1)
| ~ eqangle(sK2,sK2,X0,X1,sK1,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_6479,plain,
( eqangle(sK0,sK0,sK2,sK2,sK0,sK0,sK1,sK1)
| ~ eqangle(sK2,sK2,sK0,sK0,sK1,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6474]) ).
tcf(c_6492,plain,
coll(sK7,sK2,sK4),
inference(superposition,[status(thm)],[c_5699,c_4308]) ).
tcf(c_6497,plain,
coll(sK7,sK7,sK4),
inference(superposition,[status(thm)],[c_4294,c_4313]) ).
tcf(c_6499,plain,
coll(sK7,sK2,sK4),
inference(superposition,[status(thm)],[c_5705,c_4313]) ).
tcf(c_6522,plain,
coll(sK7,sK4,sK7),
inference(superposition,[status(thm)],[c_6497,c_86]) ).
tcf(c_6772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK3)
| ~ midp(X3,sK2,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_4384,c_103]) ).
tcf(c_6795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK3)
| ~ midp(X3,sK2,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_4400,c_103]) ).
tcf(c_7208,plain,
( coll(sK4,sK2,sK0)
| ~ coll(sK0,sK7,sK4)
| ~ coll(sK0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_2438]) ).
tcf(c_7499,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK2,X1)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_7500,plain,
( coll(sK0,sK2,sK0)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7499]) ).
tcf(c_7565,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK2,X1)
| ~ coll(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7567,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7572,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7573,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK1,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_7572]) ).
tcf(c_7743,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK2,X0)
| ~ coll(X0,X1,sK2)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_7744,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_8300,plain,
eqangle(sK2,sK0,sK0,sK3,sK4,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_124]) ).
tcf(c_8538,plain,
coll(sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_6336,c_85]) ).
tcf(c_8544,plain,
coll(sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_6343,c_85]) ).
tcf(c_8682,plain,
eqangle(sK0,sK2,sK0,sK3,sK4,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_8300,c_126]) ).
tcf(c_8960,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X0,sK2,X2)
| ~ midp(sK3,X1,X2)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4038,c_5872]) ).
tcf(c_8995,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X0,sK2,X2)
| ~ midp(sK3,X1,X2)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4052,c_5903]) ).
tcf(c_9399,plain,
coll(sK7,sK4,sK2),
inference(superposition,[status(thm)],[c_6492,c_86]) ).
tcf(c_9404,plain,
coll(sK7,sK4,sK2),
inference(superposition,[status(thm)],[c_6499,c_86]) ).
tcf(c_9452,plain,
coll(sK0,sK7,sK7),
inference(superposition,[status(thm)],[c_6522,c_3651]) ).
tcf(c_10209,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK2,X1,sK1)
| ~ midp(sK3,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4052,c_83]) ).
tcf(c_10761,plain,
! [X0: $i] :
( coll(sK0,sK7,sK2)
| ~ coll(sK2,X0,sK0)
| ~ coll(sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_10762,plain,
( coll(sK0,sK7,sK2)
| ~ coll(sK2,sK0,sK0)
| ~ coll(sK2,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_10761]) ).
tcf(c_11114,plain,
! [X0: $i,X1: $i] :
( coll(sK2,X0,X1)
| ~ para(sK2,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_11115,plain,
( coll(sK2,sK0,sK0)
| ~ para(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_11114]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i] :
( para(sK0,X1,sK3,X0)
| ~ para(sK3,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_11370,plain,
! [X0: $i] :
( para(sK2,sK2,sK2,X0)
| ~ midp(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_50,c_8960]) ).
tcf(c_11371,plain,
! [X0: $i] :
( para(sK2,sK1,sK2,X0)
| ~ midp(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_3212,c_8960]) ).
tcf(c_11384,plain,
! [X0: $i] :
( para(sK2,sK2,sK2,X0)
| ~ midp(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_50,c_8995]) ).
tcf(c_11442,plain,
! [X0: $i,X1: $i] :
( midp(sK2,X0,X1)
| ~ midp(sK3,sK1,X1)
| ~ midp(sK2,X0,sK2)
| ~ coll(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_11384,c_83]) ).
tcf(c_11445,plain,
! [X0: $i] :
( para(sK2,X0,sK2,sK2)
| ~ midp(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_11384,c_104]) ).
tcf(c_11949,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,X1)
| ~ coll(sK3,X0,X1)
| ~ cong(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_12057,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_99,c_138]) ).
tcf(c_12070,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12057]) ).
tcf(c_12171,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK2)
| ~ coll(sK2,X0,X2)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_12172,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12171]) ).
tcf(c_12174,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK2)
| ~ coll(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_12246,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK1)
| ~ coll(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_12247,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_12246]) ).
tcf(c_12315,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK4,X0) ),
inference(superposition,[status(thm)],[c_9399,c_84]) ).
tcf(c_12317,plain,
coll(sK4,sK7,sK2),
inference(superposition,[status(thm)],[c_9399,c_85]) ).
tcf(c_12321,plain,
( coll(sK2,sK0,sK7)
| ~ coll(sK7,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_12315]) ).
tcf(c_12325,plain,
coll(sK0,sK2,sK7),
inference(superposition,[status(thm)],[c_9404,c_3651]) ).
tcf(c_13782,plain,
! [X0: $i] :
( coll(X0,sK2,sK1)
| ~ coll(sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_7499]) ).
tcf(c_13783,plain,
( coll(sK0,sK2,sK1)
| ~ coll(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_13782]) ).
tcf(c_13842,plain,
! [X0: $i] :
( coll(sK2,sK1,X0)
| ~ coll(sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_7567]) ).
tcf(c_13843,plain,
( coll(sK2,sK1,sK0)
| ~ coll(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_13858,plain,
! [X0: $i] :
( coll(sK3,sK2,X0)
| ~ coll(sK3,X0,sK2) ),
inference(instantiation,[status(thm)],[c_7565]) ).
tcf(c_16024,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK2,sK1)
| ~ midp(sK3,X1,X0)
| ~ para(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_4052,c_96]) ).
tcf(c_16030,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,sK1)
| ~ midp(sK3,X1,X0)
| ~ midp(X2,sK2,X0)
| ~ para(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_4373,c_96]) ).
tcf(c_16147,plain,
! [X0: $i,X1: $i] :
( coll(sK2,sK2,X0)
| ~ coll(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_7743]) ).
tcf(c_16561,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK6,sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_118]) ).
tcf(c_16761,plain,
coll(sK4,sK2,sK7),
inference(superposition,[status(thm)],[c_12317,c_86]) ).
tcf(c_16771,plain,
! [X0: $i] :
( midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,X0),sK2,X0)
| ~ coll(sK2,sK2,sK1)
| ~ coll(sK1,sK2,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_5373]) ).
tcf(c_16772,plain,
( midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,sK0),sK2,sK0)
| ~ coll(sK2,sK2,sK1)
| ~ coll(sK1,sK2,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_16771]) ).
tcf(c_17006,plain,
! [X0: $i] :
( eqangle(sK8,sK0,sK8,sK6,sK0,X0,sK0,sK6)
| ~ perp(sK5,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16561,c_124]) ).
tcf(c_18117,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X1,X0,X2)
| ~ midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,X0),sK2,X0)
| ~ midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_18365,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK3,X2,sK3)
| ~ midp(X2,sK2,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4090,c_6772]) ).
tcf(c_18375,plain,
! [X0: $i] :
( para(sK2,sK2,X0,sK3)
| ~ midp(sK3,sK1,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_11370,c_6772]) ).
tcf(c_18377,plain,
! [X0: $i] :
( para(sK2,sK1,X0,sK3)
| ~ midp(sK3,sK2,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_11371,c_6772]) ).
tcf(c_18381,plain,
! [X0: $i] :
( para(sK2,sK1,X0,sK3)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18377,c_50]) ).
tcf(c_18424,plain,
( para(sK2,sK1,sK0,sK3)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_18381]) ).
tcf(c_18444,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK3,X2,sK3)
| ~ midp(X2,sK2,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4104,c_6795]) ).
tcf(c_18658,plain,
! [X0: $i] :
( perp(sK0,X0,sK0,sK6)
| ~ perp(sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16561,c_120]) ).
tcf(c_18733,plain,
( perp(sK0,sK0,sK0,sK6)
| ~ perp(sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_18658]) ).
tcf(c_19597,plain,
coll(sK0,sK7,sK2),
inference(superposition,[status(thm)],[c_12325,c_86]) ).
tcf(c_20323,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK1,X0)
| ~ coll(X0,sK2,sK1)
| ~ coll(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_7744]) ).
tcf(c_20328,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK0,sK2,sK0)
| ~ coll(sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_20323]) ).
tcf(c_20517,plain,
coll(sK1,sK7,sK4),
inference(superposition,[status(thm)],[c_16761,c_3555]) ).
tcf(c_20535,plain,
coll(sK4,sK2,sK0),
inference(superposition,[status(thm)],[c_19597,c_3648]) ).
tcf(c_20847,plain,
! [X0: $i] :
( perp(sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,X0)
| ~ perp(sK0,X0,sK0,sK6) ),
inference(superposition,[status(thm)],[c_17006,c_120]) ).
tcf(c_20879,plain,
( perp(sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_20847]) ).
tcf(c_22181,plain,
! [X0: $i] :
( para(sK3,sK3,X0,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_18365]) ).
tcf(c_22197,plain,
! [X0: $i] :
( para(sK3,sK3,X0,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_18444]) ).
tcf(c_22211,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,sK3)
| ~ coll(sK3,X0,sK3)
| ~ midp(X1,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_22181,c_83]) ).
tcf(c_22213,plain,
! [X0: $i] :
( para(sK3,sK3,sK3,X0)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_22181,c_105]) ).
tcf(c_22282,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,sK3)
| ~ coll(sK3,X0,sK3)
| ~ midp(X1,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_22197,c_83]) ).
tcf(c_22290,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK3,X1,sK2)
| ~ midp(X0,sK2,sK1)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_22197,c_5904]) ).
tcf(c_22535,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK3,X0)
| ~ midp(X1,sK3,sK3)
| ~ midp(X0,sK2,sK1)
| ~ para(sK3,X0,sK3,sK3) ),
inference(superposition,[status(thm)],[c_22213,c_96]) ).
tcf(c_22536,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,X1)
| ~ midp(sK3,X0,sK3)
| ~ midp(X1,sK2,sK1)
| ~ coll(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_22213,c_83]) ).
tcf(c_22539,plain,
! [X0: $i] :
( para(sK3,X0,sK3,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_22213,c_104]) ).
tcf(c_22578,plain,
( para(sK3,sK0,sK3,sK3)
| ~ midp(sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_22539]) ).
tcf(c_22582,plain,
( midp(sK3,sK0,sK0)
| ~ coll(sK3,sK0,sK0)
| ~ midp(sK0,sK2,sK1)
| ~ midp(sK3,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_22536]) ).
tcf(c_22583,plain,
( midp(sK0,sK3,sK0)
| ~ midp(sK0,sK3,sK3)
| ~ midp(sK0,sK2,sK1)
| ~ para(sK3,sK0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_22535]) ).
tcf(c_24105,plain,
coll(sK1,sK4,sK7),
inference(superposition,[status(thm)],[c_20517,c_86]) ).
tcf(c_24185,plain,
coll(sK1,sK0,sK4),
inference(superposition,[status(thm)],[c_20535,c_3649]) ).
tcf(c_24341,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,X2,sK3)
| ~ midp(sK3,sK1,sK1)
| ~ midp(X2,sK2,sK2)
| ~ para(X0,X1,sK2,sK2) ),
inference(superposition,[status(thm)],[c_18375,c_103]) ).
tcf(c_24420,plain,
( para(sK0,sK0,sK0,sK3)
| ~ midp(sK0,sK2,sK2)
| ~ midp(sK3,sK1,sK1)
| ~ para(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_24341]) ).
tcf(c_25485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_51,c_122]) ).
tcf(c_26570,plain,
coll(sK2,sK7,sK1),
inference(superposition,[status(thm)],[c_24105,c_3552]) ).
tcf(c_26832,plain,
eqangle(sK0,sK2,sK0,sK3,sK2,sK0,sK0,sK3),
inference(superposition,[status(thm)],[c_8682,c_25485]) ).
tcf(c_27055,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_26832,c_100]) ).
tcf(c_27331,plain,
coll(sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_79]) ).
tcf(c_27336,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_27344,plain,
coll(sK6,sK3,sK0),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_27345,plain,
coll(sK7,sK4,sK0),
inference(superposition,[status(thm)],[c_57,c_86]) ).
tcf(c_27388,plain,
coll(sK2,sK3,sK1),
inference(superposition,[status(thm)],[c_27331,c_85]) ).
tcf(c_27398,plain,
coll(sK3,sK6,sK0),
inference(superposition,[status(thm)],[c_27344,c_85]) ).
tcf(c_27415,plain,
midp(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_50,c_110]) ).
tcf(c_27511,plain,
coll(sK2,sK1,sK3),
inference(superposition,[status(thm)],[c_27388,c_86]) ).
tcf(c_27676,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_27336,c_84]) ).
tcf(c_27681,plain,
! [X0: $i] :
( coll(sK0,X0,sK7)
| ~ coll(sK7,sK4,X0) ),
inference(superposition,[status(thm)],[c_27345,c_84]) ).
tcf(c_27690,plain,
! [X0: $i] :
( coll(sK0,X0,sK3)
| ~ coll(sK3,sK6,X0) ),
inference(superposition,[status(thm)],[c_27398,c_84]) ).
tcf(c_27693,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_27511,c_84]) ).
tcf(c_27780,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_27781,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_27415,c_97]) ).
tcf(c_27792,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_28032,plain,
coll(sK0,sK0,sK3),
inference(superposition,[status(thm)],[c_27398,c_27690]) ).
tcf(c_28084,plain,
coll(sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_27336,c_27676]) ).
tcf(c_28096,plain,
coll(sK2,sK1,sK2),
inference(superposition,[status(thm)],[c_28084,c_86]) ).
tcf(c_28513,plain,
coll(sK0,sK0,sK7),
inference(superposition,[status(thm)],[c_27345,c_27681]) ).
tcf(c_28572,plain,
! [X0: $i,X1: $i] :
( para(sK2,X1,sK1,X0)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_27781,c_104]) ).
tcf(c_29048,plain,
eqangle(sK2,sK0,sK0,sK3,sK4,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_124]) ).
tcf(c_29486,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK2,X1,sK1)
| ~ midp(sK3,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_27780,c_83]) ).
tcf(c_29487,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK3,X1,sK1)
| ~ coll(sK3,X1,sK1)
| ~ midp(X0,sK2,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_27792,c_83]) ).
tcf(c_30939,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK2,sK1)
| ~ midp(sK3,X0,X1)
| ~ para(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_28572,c_96]) ).
tcf(c_33127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK0,sK3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_51,c_122]) ).
tcf(c_34269,plain,
coll(sK1,sK4,sK0),
inference(superposition,[status(thm)],[c_24185,c_86]) ).
tcf(c_34859,plain,
( para(sK3,sK3,sK2,sK2)
| ~ midp(sK3,sK2,sK1) ),
inference(superposition,[status(thm)],[c_3217,c_22290]) ).
tcf(c_34860,plain,
para(sK3,sK3,sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_34859,c_50]) ).
tcf(c_34897,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK2)
| ~ para(X0,X1,sK3,sK3) ),
inference(superposition,[status(thm)],[c_34860,c_103]) ).
tcf(c_34910,plain,
( para(sK0,sK0,sK2,sK2)
| ~ para(sK0,sK0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_34897]) ).
tcf(c_35348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_99,c_137]) ).
tcf(c_35465,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35348]) ).
tcf(c_35698,plain,
eqangle(sK2,sK0,sK0,sK3,sK2,sK0,sK0,sK3),
inference(superposition,[status(thm)],[c_29048,c_33127]) ).
tcf(c_35712,plain,
eqangle(sK0,sK3,sK2,sK0,sK0,sK3,sK2,sK0),
inference(superposition,[status(thm)],[c_35698,c_125]) ).
tcf(c_36040,plain,
coll(sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_34269,c_3646]) ).
tcf(c_37277,plain,
para(sK0,sK3,sK0,sK3),
inference(superposition,[status(thm)],[c_35712,c_100]) ).
tcf(c_38137,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK3,sK1,sK2)
| ~ perp(X1,X2,sK1,sK2)
| ~ para(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_38138,plain,
( perp(sK0,sK3,sK1,sK2)
| ~ perp(sK0,sK0,sK1,sK2)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38137]) ).
tcf(c_38163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK1,sK2,X2,X3)
| ~ para(sK1,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_38164,plain,
( perp(sK1,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38163]) ).
tcf(c_38378,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,sK6,sK7)
| ~ perp(sK1,sK2,X0,X1)
| ~ perp(X0,X1,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_38379,plain,
( para(sK1,sK2,sK6,sK7)
| ~ perp(sK0,sK0,sK6,sK7)
| ~ perp(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38378]) ).
tcf(c_38899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,sK1,X2,X3)
| ~ para(sK2,sK1,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_39603,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_27055,c_105]) ).
tcf(c_39605,plain,
! [X0: $i] :
( para(sK0,sK2,X0,sK1)
| ~ midp(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_27055,c_5905]) ).
tcf(c_39621,plain,
( para(sK0,sK2,sK0,sK1)
| ~ midp(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_39605]) ).
tcf(c_40017,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK6)
| ~ cong(X0,sK6,X1,sK6)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_40018,plain,
( perp(sK0,sK0,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_40017]) ).
tcf(c_40019,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK7)
| ~ cong(X0,sK7,X1,sK7)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_40020,plain,
( perp(sK0,sK0,sK0,sK7)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_40019]) ).
tcf(c_40039,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK2)
| ~ cong(X0,sK2,X1,sK2)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_40040,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_40039]) ).
tcf(c_40066,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK7)
| ~ cong(X0,sK7,X1,sK7)
| ~ cong(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_40067,plain,
( perp(sK0,sK0,sK6,sK7)
| ~ cong(sK0,sK7,sK0,sK7)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_40066]) ).
tcf(c_40361,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_40362,plain,
( perp(sK0,sK0,sK1,sK2)
| ~ perp(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_40361]) ).
tcf(c_40665,plain,
coll(sK3,sK2,sK2),
inference(superposition,[status(thm)],[c_28096,c_27693]) ).
tcf(c_40986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK2,sK1,sK1)
| ~ eqangle(X0,X1,sK2,sK2,X2,X3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_40987,plain,
( eqangle(sK0,sK0,sK0,sK0,sK2,sK2,sK1,sK1)
| ~ eqangle(sK0,sK0,sK2,sK2,sK0,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_40986]) ).
tcf(c_41116,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_39603,c_96]) ).
tcf(c_41117,plain,
! [X0: $i] :
( midp(sK2,X0,sK2)
| ~ coll(sK2,X0,sK2)
| ~ midp(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_39603,c_83]) ).
tcf(c_41125,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41116,c_39603]) ).
tcf(c_41128,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_41125]) ).
tcf(c_41129,plain,
( midp(sK2,sK0,sK2)
| ~ coll(sK2,sK0,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_41117]) ).
tcf(c_41244,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK7,X0,X1)
| ~ perp(X0,X1,X1,sK7) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_41245,plain,
( perp(sK0,sK7,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_41244]) ).
tcf(c_41263,plain,
( midp(sK3,sK1,sK1)
| ~ coll(sK3,sK1,sK1)
| ~ midp(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_27415,c_29487]) ).
tcf(c_41349,plain,
( midp(sK3,sK1,sK1)
| ~ midp(sK3,sK2,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_41263,c_4765,c_41263]) ).
tcf(c_41862,plain,
( midp(sK0,sK7,sK7)
| ~ midp(sK3,sK0,sK7)
| ~ midp(sK2,sK7,sK1) ),
inference(superposition,[status(thm)],[c_9452,c_10209]) ).
tcf(c_41910,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK3,sK1,sK1)
| ~ midp(sK2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8544,c_10209]) ).
tcf(c_45779,plain,
coll(sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_3053,c_3654]) ).
tcf(c_45927,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_45779,c_84]) ).
tcf(c_46249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK1)
| ~ coll(X1,X3,sK1)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_46250,plain,
( midp(sK0,sK0,sK1)
| ~ coll(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_46249]) ).
tcf(c_46262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK2)
| ~ coll(X1,X3,sK2)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_46263,plain,
( midp(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_46262]) ).
tcf(c_47461,plain,
( midp(sK2,sK0,sK1)
| ~ midp(sK3,sK1,sK1)
| ~ midp(sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_36040,c_11442]) ).
tcf(c_48705,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK6)
| ~ midp(X0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_48706,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_48705]) ).
tcf(c_48708,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK6,X1,sK6)
| ~ midp(sK6,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_48709,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_48708]) ).
tcf(c_49091,plain,
( midp(sK3,sK2,sK3)
| ~ coll(sK3,sK2,sK3)
| ~ midp(sK1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_22282]) ).
tcf(c_49571,plain,
! [X0: $i] :
( midp(X0,sK3,sK3)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK3) ),
inference(superposition,[status(thm)],[c_37277,c_96]) ).
tcf(c_49572,plain,
! [X0: $i] :
( midp(sK3,X0,sK3)
| ~ coll(sK3,X0,sK3)
| ~ midp(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_37277,c_83]) ).
tcf(c_49591,plain,
! [X0: $i] :
( midp(X0,sK3,sK3)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49571,c_37277]) ).
tcf(c_49597,plain,
( midp(sK0,sK3,sK3)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_49591]) ).
tcf(c_49598,plain,
( midp(sK3,sK0,sK3)
| ~ coll(sK3,sK0,sK3)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_49572]) ).
tcf(c_50348,plain,
! [X0: $i] :
( coll(sK3,X0,sK0)
| ~ coll(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_28032,c_84]) ).
tcf(c_50418,plain,
coll(sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_3168,c_3663]) ).
tcf(c_50725,plain,
coll(sK3,sK2,sK3),
inference(superposition,[status(thm)],[c_50418,c_86]) ).
tcf(c_51950,plain,
! [X0: $i] :
( coll(sK3,X0,sK3)
| ~ coll(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_50725,c_84]) ).
tcf(c_52706,plain,
coll(sK3,sK7,sK0),
inference(superposition,[status(thm)],[c_28513,c_50348]) ).
tcf(c_52954,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK2,sK1)
| ~ midp(sK3,X1,X0)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4052,c_16024]) ).
tcf(c_53238,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_52954,c_50,c_2284,c_30939]) ).
tcf(c_53848,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,X1,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ circle(X0,sK0,sK1,sK2)
| ~ perp(X0,sK0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_53849,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ circle(sK0,sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_53848]) ).
tcf(c_55277,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK2,sK6,sK7,X0,X1,sK6,sK7)
| ~ para(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_56404,plain,
coll(sK3,sK0,sK7),
inference(superposition,[status(thm)],[c_52706,c_86]) ).
tcf(c_58358,plain,
! [X0: $i] :
( para(sK2,sK2,X0,X0)
| ~ midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,X0),sK2,X0) ),
inference(instantiation,[status(thm)],[c_18117]) ).
tcf(c_58359,plain,
( para(sK2,sK2,sK0,sK0)
| ~ midp(sK16(sK2,sK1,sK2,sK1,sK3,sK3,sK0),sK2,sK0) ),
inference(instantiation,[status(thm)],[c_58358]) ).
tcf(c_59758,plain,
! [X0: $i] :
( para(sK0,X0,sK3,sK3)
| ~ para(sK3,sK3,sK0,X0) ),
inference(instantiation,[status(thm)],[c_11305]) ).
tcf(c_59763,plain,
( para(sK0,sK0,sK3,sK3)
| ~ para(sK3,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_59758]) ).
tcf(c_61495,plain,
( midp(sK3,sK0,sK7)
| ~ midp(sK3,sK3,sK7)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_56404,c_29486]) ).
tcf(c_63013,plain,
( eqangle(sK1,sK2,sK6,sK7,sK1,sK2,sK6,sK7)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_55277]) ).
tcf(c_63133,plain,
coll(sK6,sK7,sK0),
inference(superposition,[status(thm)],[c_5651,c_4984]) ).
tcf(c_63272,plain,
coll(sK6,sK0,sK7),
inference(superposition,[status(thm)],[c_63133,c_86]) ).
tcf(c_64347,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,sK2,X1)
| ~ cong(X0,sK2,X2,sK2)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_64348,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_64347]) ).
tcf(c_65263,plain,
coll(sK3,sK7,sK6),
inference(superposition,[status(thm)],[c_63272,c_3643]) ).
tcf(c_65747,plain,
coll(sK3,sK6,sK7),
inference(superposition,[status(thm)],[c_65263,c_86]) ).
tcf(c_65823,plain,
coll(sK3,sK7,sK3),
inference(superposition,[status(thm)],[c_65747,c_4263]) ).
tcf(c_65852,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,sK1,X1,X2)
| ~ para(sK2,sK1,X0,sK3)
| ~ para(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_38899]) ).
tcf(c_65853,plain,
( para(sK2,sK1,sK0,sK0)
| ~ para(sK0,sK3,sK0,sK0)
| ~ para(sK2,sK1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_65852]) ).
tcf(c_65882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,sK2,X4)
| ~ perp(X2,X3,sK2,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_65885,plain,
( para(sK0,sK0,sK2,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_65882]) ).
tcf(c_68075,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ para(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_68076,plain,
( para(sK0,sK3,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_68075]) ).
tcf(c_68826,plain,
( midp(sK3,sK7,sK3)
| ~ midp(sK3,sK3,sK3)
| ~ midp(sK2,sK7,sK1) ),
inference(superposition,[status(thm)],[c_65823,c_10209]) ).
tcf(c_71550,plain,
! [X0: $i] :
( midp(X0,sK2,sK1)
| ~ midp(sK3,sK2,sK2)
| ~ midp(sK3,sK1,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_11445,c_16030]) ).
tcf(c_71583,plain,
( midp(sK0,sK2,sK1)
| ~ midp(sK0,sK2,sK2)
| ~ midp(sK3,sK2,sK2)
| ~ midp(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_71550]) ).
tcf(c_74608,plain,
! [X0: $i] :
( cong(X0,sK7,X0,sK7)
| ~ midp(X0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_74609,plain,
( cong(sK0,sK7,sK0,sK7)
| ~ midp(sK0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_74608]) ).
tcf(c_74618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK7,X3,sK7)
| ~ cyclic(X1,sK7,X0,sK7)
| ~ cyclic(X1,sK7,X0,X3)
| ~ cyclic(X1,sK7,X0,X2)
| ~ eqangle(X0,X1,X0,sK7,X2,X3,X2,sK7) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_74619,plain,
( cong(sK0,sK7,sK0,sK7)
| ~ cyclic(sK0,sK7,sK0,sK0)
| ~ cyclic(sK0,sK7,sK0,sK7)
| ~ eqangle(sK0,sK0,sK0,sK7,sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_74618]) ).
tcf(c_80960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK2)
| ~ perp(X2,X3,X4,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_80963,plain,
( para(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_80960]) ).
tcf(c_82155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,sK6,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,sK6)
| ~ circle(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_82156,plain,
( eqangle(sK0,sK6,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6)
| ~ circle(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_82155]) ).
tcf(c_83295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK7,X2,X3,X1,sK7)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_83296,plain,
( eqangle(sK0,sK0,sK0,sK7,sK0,sK0,sK0,sK7)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_83295]) ).
tcf(c_85908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6,X3,X2)
| ~ coll(sK6,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_85909,plain,
( midp(sK6,sK0,sK0)
| ~ coll(sK6,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_85908]) ).
tcf(c_88990,plain,
( midp(sK3,sK2,sK2)
| ~ coll(sK3,sK2,sK2)
| ~ cong(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_11949]) ).
tcf(c_90025,plain,
! [X0: $i,X1: $i] :
( midp(sK2,sK2,sK1)
| ~ coll(sK2,sK2,sK1)
| ~ midp(X0,sK2,X1)
| ~ para(X0,sK2,X1,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_90026,plain,
( midp(sK2,sK2,sK1)
| ~ coll(sK2,sK2,sK1)
| ~ midp(sK0,sK2,sK0)
| ~ para(sK0,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_90025]) ).
tcf(c_90111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK6,sK7)
| ~ eqangle(X0,X1,X2,X3,sK6,sK7,X2,X3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_90162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK2,X3)
| ~ coll(X1,sK2,X3)
| ~ midp(X0,sK2,X2)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_90178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK2,X3,X2)
| ~ coll(sK2,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK2,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_90420,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK7,sK6)
| ~ para(X0,X1,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_90592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK7)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK7,X2,X1)
| ~ para(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_90601,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK6)
| ~ coll(X0,X1,sK6)
| ~ cong(X0,X1,X0,sK6) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_90742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK6,sK7,sK1,sK2,X2,X3,X0,X1)
| ~ eqangle(sK1,sK2,sK6,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_91150,plain,
midp(sK3,sK1,sK2),
inference(resolution,[status(thm)],[c_110,c_50]) ).
tcf(c_91914,plain,
! [X0: $i,X1: $i] :
( circle(X0,X1,sK1,sK2)
| ~ midp(X0,X1,sK1)
| ~ cong(X0,X1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_5995]) ).
tcf(c_91915,plain,
( circle(sK0,sK0,sK1,sK2)
| ~ midp(sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_91914]) ).
tcf(c_92245,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK2)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_92246,plain,
( cong(sK0,sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_92245]) ).
tcf(c_92698,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_93133,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK3)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_92698,c_104]) ).
tcf(c_94517,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK2)
| ~ midp(X0,sK1,X1) ),
inference(resolution,[status(thm)],[c_98,c_91150]) ).
tcf(c_95866,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ coll(X0,sK6,sK6)
| ~ cong(X0,sK6,X0,sK6) ),
inference(instantiation,[status(thm)],[c_90601]) ).
tcf(c_95868,plain,
( midp(sK0,sK6,sK6)
| ~ coll(sK0,sK6,sK6)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_95866]) ).
tcf(c_96565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK7)
| ~ perp(X2,X3,X4,sK7)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_96568,plain,
( para(sK0,sK0,sK0,sK7)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_96565]) ).
tcf(c_96948,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK7,sK1,sK2,sK6,sK7,X0,X1)
| ~ eqangle(sK1,sK2,sK6,sK7,X0,X1,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_90742]) ).
tcf(c_98360,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK7,X2)
| ~ cyclic(X0,sK7,X1,X2) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_98361,plain,
( cyclic(sK0,sK0,sK7,sK0)
| ~ cyclic(sK0,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_98360]) ).
tcf(c_98483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK7,X2,X3)
| ~ perp(X4,sK7,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_98486,plain,
( para(sK0,sK7,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_98483]) ).
tcf(c_98569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( para(X0,sK6,X1,X2)
| ~ para(X3,X4,X5,X6)
| ~ eqangle(X0,sK6,X1,X2,X3,X4,X5,X6) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_98570,plain,
( para(sK0,sK6,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK6,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_98569]) ).
tcf(c_98628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK3)
| ~ midp(X3,sK2,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_93133,c_103]) ).
tcf(c_99321,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,X1,X2,sK1)
| ~ midp(X0,sK3,X2)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_101718,plain,
( eqangle(sK6,sK7,sK1,sK2,sK6,sK7,sK1,sK2)
| ~ eqangle(sK1,sK2,sK6,sK7,sK1,sK2,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_96948]) ).
tcf(c_101720,plain,
( para(sK6,sK7,sK6,sK7)
| ~ eqangle(sK6,sK7,sK1,sK2,sK6,sK7,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_90111]) ).
tcf(c_104541,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ coll(X0,sK2,X1)
| ~ para(sK3,X0,sK1,X1) ),
inference(resolution,[status(thm)],[c_83,c_50]) ).
tcf(c_104588,plain,
( midp(sK3,sK2,sK2)
| ~ coll(sK3,sK2,sK2)
| ~ midp(sK3,sK1,sK1) ),
inference(resolution,[status(thm)],[c_104541,c_94517]) ).
tcf(c_104657,plain,
midp(sK3,sK2,sK2),
inference(global_subsumption_just,[status(thm)],[c_104588,c_50,c_2273,c_2274,c_2515,c_3894,c_40665,c_88990]) ).
tcf(c_104679,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK2,X1)
| ~ midp(sK3,X0,X1) ),
inference(resolution,[status(thm)],[c_104657,c_97]) ).
tcf(c_104690,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK7,X1,sK7)
| ~ cyclic(X0,X1,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_104691,plain,
( cyclic(sK0,sK7,sK0,sK7)
| ~ cyclic(sK0,sK0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_104690]) ).
tcf(c_106463,plain,
( para(sK6,sK7,sK7,sK6)
| ~ para(sK6,sK7,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_90420]) ).
tcf(c_106481,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK6,sK6)
| ~ para(sK6,sK7,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_90592]) ).
tcf(c_106482,plain,
( midp(sK0,sK7,sK7)
| ~ midp(sK0,sK6,sK6)
| ~ para(sK6,sK7,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_106481]) ).
tcf(c_106584,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK3,sK3,X2)
| ~ coll(sK3,sK3,X2)
| ~ midp(X0,sK3,X1)
| ~ para(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_106585,plain,
( midp(sK3,sK3,sK0)
| ~ coll(sK3,sK3,sK0)
| ~ midp(sK0,sK3,sK0)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_106584]) ).
tcf(c_106592,plain,
! [X0: $i] :
( midp(sK3,sK3,X0)
| ~ midp(sK3,sK2,sK1)
| ~ midp(sK3,X0,sK3) ),
inference(instantiation,[status(thm)],[c_53238]) ).
tcf(c_107566,plain,
! [X0: $i] :
( para(sK3,sK2,X0,sK1)
| ~ midp(sK3,sK2,sK1)
| ~ midp(sK3,sK3,X0) ),
inference(instantiation,[status(thm)],[c_99321]) ).
tcf(c_107567,plain,
( para(sK3,sK2,sK0,sK1)
| ~ midp(sK3,sK3,sK0)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_107566]) ).
tcf(c_112787,plain,
! [X0: $i,X1: $i] :
( midp(sK2,X1,sK1)
| ~ coll(sK2,X1,sK1)
| ~ midp(sK3,X1,X0)
| ~ para(sK3,sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_90178]) ).
tcf(c_115817,plain,
( midp(sK3,sK3,sK7)
| ~ midp(sK3,sK7,sK3)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_106592]) ).
tcf(c_119411,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK3,X2,sK3)
| ~ midp(X2,sK2,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_92698,c_98628]) ).
tcf(c_120218,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK2,X2)
| ~ midp(X0,sK2,sK2)
| ~ coll(X1,sK2,X2)
| ~ para(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_90162]) ).
tcf(c_120221,plain,
( midp(sK0,sK2,sK0)
| ~ coll(sK0,sK2,sK0)
| ~ midp(sK0,sK2,sK2)
| ~ para(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_120218]) ).
tcf(c_121064,plain,
! [X0: $i] :
( midp(sK2,sK7,sK1)
| ~ coll(sK2,sK7,sK1)
| ~ midp(sK3,sK7,X0)
| ~ para(sK3,sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_112787]) ).
tcf(c_121069,plain,
( midp(sK2,sK7,sK1)
| ~ coll(sK2,sK7,sK1)
| ~ midp(sK3,sK7,sK0)
| ~ para(sK3,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_121064]) ).
tcf(c_126846,plain,
! [X0: $i] :
( para(sK3,sK3,X0,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_119411]) ).
tcf(c_127412,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK5,sK0,sK2) ),
inference(superposition,[status(thm)],[c_53,c_114]) ).
tcf(c_127530,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ coll(sK5,sK0,sK2)
| ~ midp(sK1,sK1,sK2) ),
inference(superposition,[status(thm)],[c_127412,c_108]) ).
tcf(c_128417,plain,
cong(sK0,sK1,sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_127530,c_55,c_52,c_50,c_155,c_157,c_2267,c_2271,c_2273,c_2274,c_2479,c_2504,c_2515,c_2642,c_2643,c_2764,c_2768,c_3171,c_3730,c_3820,c_3889,c_3894,c_4303,c_4765,c_5768,c_6364,c_6479,c_8538,c_12070,c_16772,c_18424,c_24420,c_34910,c_35465,c_38138,c_38164,c_40362,c_40665,c_40987,c_41128,c_41263,c_58359,c_59763,c_65853,c_68076,c_88990]) ).
tcf(c_128422,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK0,sK2)
| ~ cong(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_128417,c_130]) ).
tcf(c_128424,plain,
cong(sK0,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_128417,c_131]) ).
tcf(c_128624,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,sK3)
| ~ coll(sK3,X0,sK3)
| ~ midp(X1,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_126846,c_83]) ).
tcf(c_130066,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK6,sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_118]) ).
tcf(c_130449,plain,
! [X0: $i] :
( perp(sK0,X0,sK0,sK6)
| ~ perp(sK8,sK0,sK8,sK6)
| ~ perp(sK5,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_130066,c_120]) ).
tcf(c_131626,plain,
cong(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_128424,c_128422]) ).
tcf(c_135471,plain,
~ perp(sK8,sK0,sK8,sK6),
inference(global_subsumption_just,[status(thm)],[c_130449,c_57,c_55,c_52,c_50,c_49,c_51,c_155,c_157,c_158,c_819,c_2267,c_2269,c_2270,c_2271,c_2272,c_2273,c_2274,c_2338,c_2403,c_2460,c_2478,c_2479,c_2515,c_2642,c_2643,c_2654,c_2764,c_2768,c_3171,c_3632,c_3730,c_3804,c_3820,c_3843,c_3889,c_3894,c_4262,c_4299,c_4303,c_4765,c_5768,c_5890,c_6360,c_6364,c_6463,c_6479,c_7208,c_7500,c_7573,c_8538,c_10762,c_11115,c_12070,c_12172,c_12247,c_12321,c_13783,c_16772,c_18424,c_18733,c_20328,c_22582,c_24420,c_34910,c_35465,c_38164,c_38379,c_40040,c_40067,c_40665,c_40987,c_41128,c_41263,c_46250,c_46263,c_48709,c_49598,c_53849,c_58359,c_59763,c_63013,c_64348,c_65853,c_65885,c_68076,c_71583,c_74609,c_80963,c_82156,c_85909,c_88990,c_91915,c_92246,c_95868,c_98570,c_101718,c_101720,c_106482,c_131626]) ).
tcf(c_147977,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,sK3)
| ~ midp(sK3,X0,X1)
| ~ midp(X1,sK2,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_128624,c_7499,c_11114,c_12174,c_13858,c_16147,c_22211,c_45927,c_51950,c_104679]) ).
tcf(c_147978,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,sK3)
| ~ midp(X1,sK2,sK1)
| ~ midp(sK3,X0,X1) ),
inference(renaming,[status(thm)],[c_147977]) ).
tcf(c_147986,plain,
( midp(sK3,sK2,sK3)
| ~ midp(sK1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_50,c_147978]) ).
tcf(c_148105,plain,
midp(sK3,sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_147986,c_55,c_52,c_50,c_51,c_155,c_157,c_2267,c_2271,c_2273,c_2274,c_2338,c_2478,c_2479,c_2515,c_2642,c_2654,c_2764,c_2768,c_3171,c_3632,c_3804,c_3820,c_3894,c_4262,c_6364,c_6479,c_7500,c_11115,c_12070,c_22582,c_35465,c_39621,c_40665,c_40987,c_41128,c_41349,c_41910,c_49091,c_49598,c_50725,c_64348,c_65885,c_71583,c_88990,c_90026,c_120221,c_131626]) ).
tcf(c_148110,plain,
midp(sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_148105,c_110]) ).
tcf(c_148541,plain,
( midp(sK3,sK3,sK3)
| ~ midp(sK2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_148110,c_147978]) ).
tcf(c_162878,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK7)
| ~ cyclic(X0,X1,sK7,X2) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_162879,plain,
( cyclic(sK0,sK0,sK0,sK7)
| ~ cyclic(sK0,sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_162878]) ).
tcf(c_173150,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK6,sK7)
| ~ para(sK6,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_173262,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK3,sK7,X1)
| ~ midp(sK3,X0,X2)
| ~ para(X0,sK7,X2,X1)
| ~ para(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_173263,plain,
( midp(sK3,sK7,sK0)
| ~ midp(sK3,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK7)
| ~ para(sK0,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_173262]) ).
tcf(c_173373,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK7,sK6)
| ~ para(X0,X1,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_173514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK6)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK6,X2,X1)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_180158,plain,
( para(sK7,sK6,sK6,sK7)
| ~ para(sK6,sK7,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_173150]) ).
tcf(c_181425,plain,
( para(sK7,sK6,sK7,sK6)
| ~ para(sK7,sK6,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_173373]) ).
tcf(c_185731,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK7,sK7)
| ~ cyclic(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_185732,plain,
( cyclic(sK0,sK0,sK7,sK7)
| ~ cyclic(sK0,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_185731]) ).
tcf(c_196666,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ midp(X0,sK7,sK7)
| ~ para(sK7,sK6,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_173514]) ).
tcf(c_196668,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK7,sK7)
| ~ para(sK7,sK6,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_196666]) ).
tcf(c_196669,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_196668,c_185732,c_181425,c_180158,c_173263,c_162879,c_148541,c_135471,c_131626,c_121069,c_120221,c_115817,c_107567,c_106585,c_106463,c_104691,c_101720,c_101718,c_98486,c_98361,c_96568,c_92246,c_91915,c_90026,c_88990,c_83296,c_80963,c_74619,c_71583,c_68826,c_68076,c_65885,c_64348,c_63013,c_61495,c_59763,c_58359,c_53849,c_49598,c_49597,c_48706,c_47461,c_46263,c_46250,c_41862,c_41349,c_41245,c_41129,c_41128,c_40987,c_40665,c_40040,c_40020,c_40018,c_39621,c_35465,c_34910,c_26570,c_24420,c_22583,c_22582,c_22578,c_20879,c_20328,c_16772,c_13843,c_13783,c_12321,c_12247,c_12172,c_12070,c_11115,c_10762,c_8538,c_7573,c_7500,c_7208,c_6479,c_6364,c_5890,c_5768,c_5303,c_4299,c_4262,c_3894,c_3889,c_3867,c_3820,c_3804,c_3738,c_3730,c_3632,c_3171,c_2768,c_2764,c_2654,c_2643,c_2642,c_2515,c_2498,c_2479,c_2478,c_2460,c_2403,c_2338,c_2274,c_2273,c_2272,c_2271,c_2270,c_2269,c_2268,c_2267,c_819,c_157,c_155,c_51,c_50,c_52,c_55,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.58 % Computer : n010.cluster.edu
% 0.12/10.58 % Model : x86_64 x86_64
% 0.12/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.58 % Memory : 8046.5625MB
% 0.12/10.58 % OS : Linux 6.8.0-71-generic
% 0.12/10.58 % CPULimit : 300
% 0.12/10.58 % WCLimit : 300
% 0.12/10.58 % DateTime : Wed Sep 23 12:37:42 UTC 2026
% 0.12/10.58 % CPUTime :
% 0.12/10.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/10.62 Running first-order theorem proving
% 0.17/10.62 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.64
% 0.17/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.17/10.64
% 0.17/10.64 % Detected problem language: tptp
% 0.17/10.65 % Proving...
% 108.69/30.29 % SZS status Started for theBenchmark.p
% 108.69/30.29 % SZS status Theorem for theBenchmark.p
% 108.69/30.29
% 108.69/30.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 108.69/30.29
% 108.69/30.29 % ------ iProver source info
% 108.69/30.29
% 108.69/30.29 % git: date: 2026-07-19 20:42:38 +0200
% 108.69/30.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 108.69/30.29 % git: non_committed_changes: false
% 108.69/30.29
% 108.69/30.29 % ------ Parsing...
% 108.69/30.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 108.69/30.29
% 108.69/30.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 108.69/30.29
% 108.69/30.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 108.69/30.29 % ------ Proving...
% 108.69/30.29 % ------ Problem Properties
% 108.69/30.29
% 108.69/30.29 %
% 108.69/30.29 % clauses 96
% 108.69/30.29 % conjectures 9
% 108.69/30.29 % EPR 63
% 108.69/30.29 % Horn 91
% 108.69/30.29 % unary 9
% 108.69/30.29 % binary 24
% 108.69/30.29 % lits 265
% 108.69/30.29 % lits eq 0
% 108.69/30.29 % fd_pure 0
% 108.69/30.29 % fd_pseudo 0
% 108.69/30.29 % fd_cond 0
% 108.69/30.29 % fd_pseudo_cond 0
% 108.69/30.29 % AC symbols 0
% 108.69/30.29
% 108.69/30.29 % ------ Schedule dynamic 5 is on
% 108.69/30.29
% 108.69/30.29 % ------ no equalities: superposition off
% 108.69/30.29
% 108.69/30.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 108.69/30.29
% 108.69/30.29
% 108.69/30.29 % ------
% 108.69/30.29 % Current options:
% 108.69/30.29 % ------
% 108.69/30.29
% 108.69/30.29
% 108.69/30.29 %
% 108.69/30.29
% 108.69/30.29 % ------ Proving...
% 108.69/30.29 % Proof_search_loop: time out after: 4482 full_loop iterations
% 108.69/30.29
% 108.69/30.29 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 108.69/30.29
% 108.69/30.29
% 108.69/30.29 % ------
% 108.69/30.29 % Current options:
% 108.69/30.29 % ------
% 108.69/30.29
% 108.69/30.29
% 108.69/30.29 %
% 108.69/30.29
% 108.69/30.29 % ------ Proving...
% 108.69/30.29 %
% 108.69/30.29
% 108.69/30.29 % SZS status Theorem for theBenchmark.p
% 108.69/30.29
% 108.69/30.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 108.69/30.31
% 108.69/30.31
%------------------------------------------------------------------------------