%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO613+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 : n005.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 01:21:38 PM UTC 2026
% Result : Theorem 77.81s 13.38s
% Output : CNFRefutation 77.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 464 ( 37 unt; 0 def)
% Number of atoms : 1168 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1308 ( 604 ~; 596 |; 70 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 1259 ( 0 sgn1227 !; 32 ?; 561 :)
% 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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/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(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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9)
& ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( coll(X7,X2,X6)
& coll(X7,X0,X5)
& coll(X6,X1,X5)
& circle(X2,X1,X6,X15)
& circle(X0,X1,X5,X14)
& midp(X4,X3,X1)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9)
& ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
inference(flattening,[],[f98]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(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] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f153]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f163]) ).
fof(f165,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(f166,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,[],[f165]) ).
fof(f174,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(f175,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(f176,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(f177,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,[],[f176]) ).
fof(f178,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(f179,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(f180,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(f181,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(f186,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(f187,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f186]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
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(f195,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
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(f199,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
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(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(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(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK7,sK2,sK6)
& coll(sK7,sK0,sK5)
& coll(sK6,sK1,sK5)
& circle(sK2,sK1,sK6,sK15)
& circle(sK0,sK1,sK5,sK14)
& midp(sK4,sK3,sK1)
& circle(sK2,sK1,sK3,sK13)
& circle(sK0,sK1,sK3,sK12)
& circle(sK2,sK1,sK10,sK11)
& circle(sK0,sK1,sK8,sK9)
& ~ eqangle(sK5,sK3,sK3,sK6,sK0,sK7,sK7,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15)],[f99]) ).
fof(f240,plain,
coll(sK7,sK0,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK6,sK1,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
midp(sK4,sK3,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
~ eqangle(sK5,sK3,sK3,sK6,sK0,sK7,sK7,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f275,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(f276,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f299,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,[],[f166]) ).
fof(f304,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f306,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,[],[f177]) ).
fof(f307,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,[],[f178]) ).
fof(f308,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,[],[f179]) ).
fof(f309,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,[],[f180]) ).
fof(f310,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,[],[f181]) ).
fof(f315,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,[],[f187]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f319,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(f320,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f322,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(f323,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f329,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(f332,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f333,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(f337,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK5,sK3,sK3,sK6,sK0,sK7,sK7,sK2),
inference(cnf_transformation,[],[f249]) ).
tcf(c_54,negated_conjecture,
midp(sK4,sK3,sK1),
inference(cnf_transformation,[],[f244]) ).
tcf(c_57,negated_conjecture,
coll(sK6,sK1,sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_58,negated_conjecture,
coll(sK7,sK0,sK5),
inference(cnf_transformation,[],[f240]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_85,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,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_97,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,[],[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] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_125,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,[],[f315]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_132,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,[],[f322]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_150,plain,
( coll(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_151,plain,
( eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ cyclic(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_152,plain,
( para(sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_157,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_159,plain,
( perp(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_199,plain,
( cong(sK1,sK1,sK1,sK1)
| ~ cyclic(sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_2612,plain,
( coll(sK4,sK3,sK1)
| ~ midp(sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2613,plain,
( coll(sK1,sK6,sK5)
| ~ coll(sK6,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2616,plain,
( coll(sK6,sK5,sK1)
| ~ coll(sK6,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2619,plain,
( midp(sK4,sK1,sK3)
| ~ midp(sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2620,plain,
( cong(sK4,sK3,sK4,sK1)
| ~ midp(sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2623,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK0,sK5)
| ~ coll(sK7,sK0,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2650,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK3,X1)
| ~ midp(sK4,sK3,sK1)
| ~ coll(X0,sK3,X1)
| ~ para(sK4,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2651,plain,
( midp(sK1,sK3,sK1)
| ~ coll(sK1,sK3,sK1)
| ~ midp(sK4,sK3,sK1)
| ~ para(sK4,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2650]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i] :
( midp(sK4,X0,X1)
| ~ midp(sK4,sK3,sK1)
| ~ para(sK3,X1,sK1,X0)
| ~ para(sK3,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_2661,plain,
( midp(sK4,sK1,sK1)
| ~ midp(sK4,sK3,sK1)
| ~ para(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2730,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK3,sK1)
| ~ coll(sK4,sK3,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2732,plain,
( coll(sK3,sK4,sK1)
| ~ coll(sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2733,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2730]) ).
tcf(c_2734,plain,
! [X0: $i] :
( perp(sK3,X0,X0,sK1)
| ~ coll(sK4,sK3,sK1)
| ~ circle(sK4,sK3,X0,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2735,plain,
( perp(sK3,sK1,sK1,sK1)
| ~ coll(sK4,sK3,sK1)
| ~ circle(sK4,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2734]) ).
tcf(c_2749,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK6,sK5)
| ~ coll(sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2806,plain,
! [X0: $i] :
( coll(sK1,X0,sK6)
| ~ coll(sK6,sK5,sK1)
| ~ coll(sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2809,plain,
( coll(sK1,sK1,sK6)
| ~ coll(sK6,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2806]) ).
tcf(c_2863,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK3,X1)
| ~ midp(sK4,sK1,sK3)
| ~ midp(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2877,plain,
! [X0: $i,X1: $i] :
( midp(sK4,X0,X1)
| ~ midp(sK4,sK1,sK3)
| ~ para(sK1,X1,sK3,X0)
| ~ para(sK1,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i] :
( cyclic(sK3,sK1,X0,X1)
| ~ cong(sK4,sK3,sK4,sK1)
| ~ cong(sK4,sK3,sK4,X1)
| ~ cong(sK4,sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_2894,plain,
! [X0: $i] :
( circle(sK4,sK3,sK1,X0)
| ~ cong(sK4,sK3,sK4,sK1)
| ~ cong(sK4,sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2895,plain,
( circle(sK4,sK3,sK1,sK1)
| ~ cong(sK4,sK3,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2894]) ).
tcf(c_2901,plain,
( cyclic(sK3,sK1,sK1,sK1)
| ~ cong(sK4,sK3,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2885]) ).
tcf(c_3019,plain,
( coll(sK5,sK5,sK7)
| ~ coll(sK7,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3074,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK5,sK7)
| ~ coll(sK5,sK5,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3077,plain,
( coll(sK7,sK1,sK5)
| ~ coll(sK5,sK5,sK1)
| ~ coll(sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_3074]) ).
tcf(c_3218,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK4,sK1)
| ~ coll(sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3221,plain,
( coll(sK1,sK1,sK3)
| ~ coll(sK3,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3218]) ).
tcf(c_3285,plain,
coll(sK4,sK3,sK1),
inference(superposition,[status(thm)],[c_54,c_81]) ).
tcf(c_3288,plain,
coll(sK4,sK3,sK1),
inference(superposition,[status(thm)],[c_54,c_81]) ).
tcf(c_3293,plain,
coll(sK1,sK6,sK5),
inference(superposition,[status(thm)],[c_57,c_87]) ).
tcf(c_3323,plain,
coll(sK3,sK4,sK1),
inference(superposition,[status(thm)],[c_3288,c_87]) ).
tcf(c_3358,plain,
coll(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_3285,c_88]) ).
tcf(c_3370,plain,
coll(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_3288,c_88]) ).
tcf(c_3495,plain,
coll(sK1,sK4,sK3),
inference(superposition,[status(thm)],[c_3358,c_87]) ).
tcf(c_3538,plain,
midp(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_3543,plain,
midp(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_3584,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3586,plain,
( coll(sK1,sK4,sK1)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_3584]) ).
tcf(c_3746,plain,
( coll(sK5,sK5,sK1)
| ~ coll(sK1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2749]) ).
tcf(c_3868,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK0,X0) ),
inference(superposition,[status(thm)],[c_58,c_86]) ).
tcf(c_3871,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK6,X0) ),
inference(superposition,[status(thm)],[c_3293,c_86]) ).
tcf(c_3886,plain,
! [X0: $i] :
( coll(sK3,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_3495,c_86]) ).
tcf(c_3942,plain,
( coll(sK3,sK1,sK1)
| ~ coll(sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3886]) ).
tcf(c_3972,plain,
! [X0: $i] :
( coll(sK3,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_3370,c_86]) ).
tcf(c_3973,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_3323,c_86]) ).
tcf(c_4243,plain,
coll(sK5,sK5,sK7),
inference(superposition,[status(thm)],[c_58,c_3868]) ).
tcf(c_4318,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,X0,X1,X2)
| ~ perp(sK3,X0,X0,sK1)
| ~ perp(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_4326,plain,
( para(sK3,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_4318]) ).
tcf(c_4349,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK3,X1)
| ~ midp(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_3538,c_95]) ).
tcf(c_4362,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK1,X1)
| ~ midp(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_95]) ).
tcf(c_4445,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK1,X0,X2,X1)
| ~ cyclic(sK3,sK1,X0,X2)
| ~ cyclic(sK3,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_4452,plain,
( cyclic(sK1,sK1,sK1,sK1)
| ~ cyclic(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_4445]) ).
tcf(c_4472,plain,
! [X0: $i] :
( coll(sK7,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_4243,c_86]) ).
tcf(c_4756,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_3293,c_3871]) ).
tcf(c_4951,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4952,plain,
( coll(sK1,sK3,sK1)
| ~ coll(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_4951]) ).
tcf(c_4981,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4992,plain,
! [X0: $i] :
( coll(sK7,sK5,X0)
| ~ coll(sK7,X0,sK5) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4993,plain,
( coll(sK7,sK5,sK1)
| ~ coll(sK7,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_4992]) ).
tcf(c_5714,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK3,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_5715,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK7,X2,X0)
| ~ coll(X0,X1,sK7)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_5716,plain,
( coll(sK7,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_5715]) ).
tcf(c_6195,plain,
coll(sK3,sK3,sK4),
inference(superposition,[status(thm)],[c_3370,c_3972]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK3,X3)
| ~ coll(X1,sK3,X3)
| ~ midp(X0,sK3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK3,X0,X1)
| ~ para(X0,X1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_6206,plain,
( para(sK1,sK3,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_6205]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK5,X1)
| ~ para(sK1,X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_6892,plain,
coll(sK7,sK7,sK5),
inference(superposition,[status(thm)],[c_4243,c_4472]) ).
tcf(c_6893,plain,
coll(sK7,sK1,sK5),
inference(superposition,[status(thm)],[c_4756,c_4472]) ).
tcf(c_6904,plain,
coll(sK7,sK5,sK7),
inference(superposition,[status(thm)],[c_6892,c_88]) ).
tcf(c_6993,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,X1,sK3)
| ~ midp(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_4349,c_128]) ).
tcf(c_7005,plain,
( para(sK1,sK1,sK1,sK3)
| ~ midp(sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6993]) ).
tcf(c_7611,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK4,X0,sK1,X2)
| ~ midp(sK4,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_7612,plain,
( para(sK4,sK1,sK1,sK1)
| ~ midp(sK4,sK1,sK1)
| ~ midp(sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_7611]) ).
tcf(c_7810,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_129]) ).
tcf(c_7811,plain,
( perp(sK1,sK1,sK1,sK6)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK6,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_7810]) ).
tcf(c_8654,plain,
coll(sK3,sK4,sK3),
inference(superposition,[status(thm)],[c_6195,c_88]) ).
tcf(c_8735,plain,
( midp(sK4,sK1,sK5)
| ~ midp(sK4,sK1,sK3)
| ~ para(sK1,sK1,sK3,sK5)
| ~ para(sK1,sK5,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2877]) ).
tcf(c_8948,plain,
( eqangle(sK5,sK3,sK3,sK6,sK0,sK7,sK7,sK2)
| ~ eqangle(sK3,sK6,sK5,sK3,sK7,sK2,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_10788,plain,
( coll(sK1,sK3,sK6)
| ~ coll(sK1,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_4981]) ).
tcf(c_11199,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK3,X1,sK1)
| ~ midp(sK4,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4362,c_85]) ).
tcf(c_11547,plain,
coll(sK7,sK5,sK1),
inference(superposition,[status(thm)],[c_6893,c_88]) ).
tcf(c_11578,plain,
( coll(sK6,sK1,sK3)
| ~ coll(sK6,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_11596,plain,
! [X0: $i] :
( coll(sK7,X0,sK7)
| ~ coll(sK7,sK5,X0) ),
inference(superposition,[status(thm)],[c_6904,c_86]) ).
tcf(c_11602,plain,
( coll(sK7,sK1,sK7)
| ~ coll(sK7,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_11596]) ).
tcf(c_11614,plain,
( coll(sK1,sK6,sK3)
| ~ coll(sK6,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_15839,plain,
coll(sK1,sK3,sK3),
inference(superposition,[status(thm)],[c_8654,c_3973]) ).
tcf(c_15861,plain,
! [X0: $i] :
( para(sK1,X0,sK5,sK3)
| ~ para(sK1,X0,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_15862,plain,
! [X0: $i] :
( para(sK1,X0,sK3,sK5)
| ~ midp(sK4,sK1,sK3)
| ~ midp(sK4,X0,sK5) ),
inference(instantiation,[status(thm)],[c_2863]) ).
tcf(c_15863,plain,
( para(sK1,sK1,sK5,sK3)
| ~ para(sK1,sK1,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_15861]) ).
tcf(c_15864,plain,
( para(sK1,sK1,sK3,sK5)
| ~ midp(sK4,sK1,sK3)
| ~ midp(sK4,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_15862]) ).
tcf(c_16157,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK3,sK5)
| ~ cong(X0,sK3,X1,sK3)
| ~ cong(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_16158,plain,
( perp(sK1,sK1,sK3,sK5)
| ~ cong(sK1,sK3,sK1,sK3)
| ~ cong(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_16157]) ).
tcf(c_16340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK3,sK5)
| ~ perp(X2,X3,sK3,sK5)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_16343,plain,
( para(sK1,sK1,sK3,sK5)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_16340]) ).
tcf(c_18763,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK5)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_18764,plain,
( perp(sK1,sK1,sK1,sK5)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_18763]) ).
tcf(c_20886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK3,sK6,sK5,sK3,sK7,sK2,sK0,sK7)
| ~ eqangle(sK3,sK6,sK5,sK3,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK7,sK2,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_20887,plain,
( eqangle(sK3,sK6,sK5,sK3,sK7,sK2,sK0,sK7)
| ~ eqangle(sK1,sK1,sK1,sK1,sK7,sK2,sK0,sK7)
| ~ eqangle(sK3,sK6,sK5,sK3,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_20886]) ).
tcf(c_22782,plain,
! [X0: $i] :
( coll(sK1,X0,sK7)
| ~ coll(sK7,sK5,X0) ),
inference(superposition,[status(thm)],[c_11547,c_86]) ).
tcf(c_22788,plain,
( coll(sK1,sK1,sK7)
| ~ coll(sK7,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_22782]) ).
tcf(c_23259,plain,
! [X0: $i,X1: $i] :
( coll(sK6,sK3,X0)
| ~ coll(X0,X1,sK6)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_5714]) ).
tcf(c_23260,plain,
( coll(sK6,sK3,sK1)
| ~ coll(sK1,sK1,sK6)
| ~ coll(sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_23259]) ).
tcf(c_24552,plain,
( cong(sK1,sK0,sK1,sK0)
| ~ midp(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_24564,plain,
( cong(sK1,sK2,sK1,sK2)
| ~ midp(sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_27548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,sK7,X3,sK7)
| ~ cong(X1,X2,X3,sK7)
| ~ cong(X0,sK7,X1,X2) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_27549,plain,
( cong(sK1,sK7,sK1,sK7)
| ~ cong(sK1,sK1,sK1,sK7)
| ~ cong(sK1,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_27548]) ).
tcf(c_27763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK7,sK2,sK0,sK7)
| ~ eqangle(sK7,sK2,sK0,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_27764,plain,
( eqangle(sK1,sK1,sK1,sK1,sK7,sK2,sK0,sK7)
| ~ eqangle(sK7,sK2,sK0,sK7,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_27763]) ).
tcf(c_29913,plain,
coll(sK4,sK3,sK1),
inference(superposition,[status(thm)],[c_54,c_81]) ).
tcf(c_29918,plain,
coll(sK1,sK6,sK5),
inference(superposition,[status(thm)],[c_57,c_87]) ).
tcf(c_29962,plain,
coll(sK6,sK5,sK1),
inference(superposition,[status(thm)],[c_57,c_88]) ).
tcf(c_29965,plain,
coll(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_29913,c_88]) ).
tcf(c_29993,plain,
midp(sK4,sK1,sK3),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_30094,plain,
coll(sK1,sK4,sK3),
inference(superposition,[status(thm)],[c_29965,c_87]) ).
tcf(c_30235,plain,
! [X0: $i] :
( coll(sK1,X0,sK6)
| ~ coll(sK6,sK5,X0) ),
inference(superposition,[status(thm)],[c_29962,c_86]) ).
tcf(c_30247,plain,
! [X0: $i] :
( coll(sK3,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_30094,c_86]) ).
tcf(c_30336,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK3,X1)
| ~ midp(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_29993,c_95]) ).
tcf(c_30479,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,X1,sK1)
| ~ midp(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_54,c_98]) ).
tcf(c_30513,plain,
coll(sK3,sK3,sK1),
inference(superposition,[status(thm)],[c_30094,c_30247]) ).
tcf(c_30764,plain,
coll(sK1,sK1,sK6),
inference(superposition,[status(thm)],[c_29962,c_30235]) ).
tcf(c_30776,plain,
coll(sK1,sK6,sK1),
inference(superposition,[status(thm)],[c_30764,c_88]) ).
tcf(c_32483,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK4,X1,sK1)
| ~ coll(sK4,X1,sK1)
| ~ midp(X0,sK3,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_30479,c_85]) ).
tcf(c_32486,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK1,X1,sK3)
| ~ midp(sK4,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_30336,c_85]) ).
tcf(c_42155,plain,
( midp(sK1,sK3,sK3)
| ~ midp(sK4,sK1,sK3)
| ~ midp(sK3,sK3,sK1) ),
inference(superposition,[status(thm)],[c_15839,c_11199]) ).
tcf(c_42425,plain,
( midp(sK1,sK3,sK3)
| ~ midp(sK3,sK3,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42155,c_3543]) ).
tcf(c_46110,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,X0,sK1,sK5)
| ~ perp(X1,X2,sK1,sK5)
| ~ perp(sK3,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_46113,plain,
( para(sK3,sK1,sK1,sK5)
| ~ perp(sK1,sK1,sK1,sK5)
| ~ perp(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_46110]) ).
tcf(c_48242,plain,
( para(sK1,sK5,sK3,sK1)
| ~ para(sK3,sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_51992,plain,
! [X0: $i,X1: $i] :
( midp(sK3,sK3,sK1)
| ~ coll(sK3,sK3,sK1)
| ~ midp(X0,sK3,X1)
| ~ para(X0,sK3,X1,sK1) ),
inference(instantiation,[status(thm)],[c_6196]) ).
tcf(c_51993,plain,
( midp(sK3,sK3,sK1)
| ~ coll(sK3,sK3,sK1)
| ~ midp(sK1,sK3,sK1)
| ~ para(sK1,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_51992]) ).
tcf(c_52356,plain,
( cong(sK1,sK3,sK1,sK3)
| ~ midp(sK1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_52897,plain,
( midp(sK4,sK1,sK1)
| ~ coll(sK4,sK1,sK1)
| ~ midp(sK4,sK3,sK3) ),
inference(superposition,[status(thm)],[c_29993,c_32483]) ).
tcf(c_53673,plain,
midp(sK4,sK1,sK1),
inference(global_subsumption_just,[status(thm)],[c_52897,c_54,c_151,c_159,c_199,c_2612,c_2620,c_2661,c_2735,c_2895,c_2901,c_4326,c_4452]) ).
tcf(c_55901,plain,
( midp(sK1,sK6,sK5)
| ~ midp(sK4,sK1,sK5)
| ~ midp(sK1,sK6,sK3) ),
inference(superposition,[status(thm)],[c_29918,c_32486]) ).
tcf(c_55912,plain,
( midp(sK1,sK6,sK1)
| ~ midp(sK4,sK1,sK1)
| ~ midp(sK1,sK6,sK3) ),
inference(superposition,[status(thm)],[c_30776,c_32486]) ).
tcf(c_56134,plain,
( midp(sK1,sK6,sK1)
| ~ midp(sK1,sK6,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55912,c_53673]) ).
tcf(c_62928,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK7,sK2,sK0,sK7,sK7,sK2)
| ~ para(X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_63004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,sK0,sK7,X2,X3) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_63036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK7,sK2,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,sK0,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_63219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK7,sK0)
| ~ perp(X2,X3,sK7,sK0)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_63220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK7,sK0)
| ~ eqangle(X0,X1,X2,X3,sK7,sK0,X2,X3) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_63222,plain,
( para(sK1,sK1,sK7,sK0)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_63219]) ).
tcf(c_63316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK3,sK6)
| ~ eqangle(X0,X1,X2,X3,sK3,sK6,X2,X3) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_63352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,sK3)
| ~ eqangle(X0,X1,X2,X3,sK5,sK3,X2,X3) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_63387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK7,sK2)
| ~ eqangle(X0,X1,X2,X3,sK7,sK2,X2,X3) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_63448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK0)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK0,X2,X1)
| ~ para(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_63458,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK7)
| ~ coll(X0,X1,sK7)
| ~ cong(X0,X1,X0,sK7) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_63490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK5,sK3,sK0,sK7)
| ~ eqangle(X0,X1,X2,X3,sK0,sK7,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_63511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK7,X2,X3)
| ~ para(X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_63518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK0,sK7,X0,X1)
| ~ eqangle(X0,X1,X2,X3,X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_63520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK0,sK7,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK0,sK7,X2,X3) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_63630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,sK0,sK7)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_63762,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK2,sK0,sK7,X0,X1,sK0,sK7)
| ~ para(sK7,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_63764,plain,
( eqangle(sK7,sK2,sK0,sK7,sK1,sK1,sK0,sK7)
| ~ para(sK7,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_63762]) ).
tcf(c_63765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK7,sK2,sK0,sK7,X4,X5,X6,X7)
| ~ eqangle(sK7,sK2,sK0,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_63946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK0,sK7,X2,X3,sK0,sK7)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_63947,plain,
( eqangle(sK1,sK1,sK0,sK7,sK1,sK1,sK0,sK7)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_63946]) ).
tcf(c_63948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( eqangle(X8,X9,sK0,sK7,X4,X5,X6,X7)
| ~ eqangle(X8,X9,sK0,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_63949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK0,sK7,X4,X5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_63953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK0,sK7,X4,X5,X2,X3)
| ~ eqangle(sK0,sK7,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_63955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,sK0,sK7,X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_64646,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,sK6,X1,X2)
| ~ midp(X0,sK6,X2)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_64647,plain,
( para(sK3,sK6,sK1,sK1)
| ~ midp(sK1,sK6,sK1)
| ~ midp(sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_64646]) ).
tcf(c_64724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK7,sK2,X2,X3)
| ~ perp(sK7,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_64727,plain,
( para(sK7,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK7,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_64724]) ).
tcf(c_64923,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK0)
| ~ cong(X0,sK7,X1,sK7)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_64924,plain,
( perp(sK1,sK1,sK7,sK0)
| ~ cong(sK1,sK7,sK1,sK7)
| ~ cong(sK1,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_64923]) ).
tcf(c_65333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK2)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK2,X2,X1)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_65493,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ coll(X0,sK7,sK7)
| ~ cong(X0,sK7,X0,sK7) ),
inference(instantiation,[status(thm)],[c_63458]) ).
tcf(c_65495,plain,
( midp(sK1,sK7,sK7)
| ~ coll(sK1,sK7,sK7)
| ~ cong(sK1,sK7,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_65493]) ).
tcf(c_65499,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK7)
| ~ cong(X0,X1,sK7,X0) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_65500,plain,
( cong(sK1,sK1,sK1,sK7)
| ~ cong(sK1,sK1,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_65499]) ).
tcf(c_65994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK3,X2,X3)
| ~ para(X0,X1,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_65995,plain,
( eqangle(sK1,sK1,sK1,sK1,sK5,sK3,sK1,sK1)
| ~ para(sK1,sK1,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_65994]) ).
tcf(c_66104,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK2)
| ~ cong(X0,sK2,X1,sK2)
| ~ cong(X0,sK7,X1,sK7) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_66105,plain,
( perp(sK1,sK1,sK7,sK2)
| ~ cong(sK1,sK2,sK1,sK2)
| ~ cong(sK1,sK7,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_66104]) ).
tcf(c_66240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK3,sK6,sK5,sK3,X0,X1,X2,X3)
| ~ eqangle(sK3,sK6,X0,X1,sK5,sK3,X2,X3) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_66241,plain,
( eqangle(sK3,sK6,sK5,sK3,sK1,sK1,sK1,sK1)
| ~ eqangle(sK3,sK6,sK1,sK1,sK5,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_66240]) ).
tcf(c_66367,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK7,sK7,sK0,sK0,sK7)
| ~ para(X0,X1,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_63946]) ).
tcf(c_66368,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK7,sK0)
| ~ eqangle(X0,X1,sK0,sK7,sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63220]) ).
tcf(c_66369,plain,
( eqangle(sK1,sK1,sK0,sK7,sK7,sK0,sK0,sK7)
| ~ para(sK1,sK1,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_66367]) ).
tcf(c_66372,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK3,sK6)
| ~ eqangle(X0,X1,sK0,sK7,sK3,sK6,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63316]) ).
tcf(c_67074,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1)
| ~ eqangle(X0,X1,sK0,sK7,X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63518]) ).
tcf(c_67075,plain,
( eqangle(sK0,sK7,sK1,sK1,sK0,sK7,sK1,sK1)
| ~ eqangle(sK1,sK1,sK0,sK7,sK1,sK1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67074]) ).
tcf(c_67234,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,X2,sK0)
| ~ para(X0,X1,sK0,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_67261,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,X0,sK7)
| ~ para(X0,sK7,X1,X2) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_67304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(sK0,sK7,sK7,X0,X1,X2,X3,X4)
| ~ eqangle(sK7,sK0,sK7,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_67431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK7,X4,X5)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_67547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK7,sK0,X2,X3,sK7,sK0)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_67575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK3,sK6,X2,X3,sK3,sK6)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_67603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK5,sK3,X2,X3,sK5,sK3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_67762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,sK0,sK7,X2,X3,sK0,sK7)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63955]) ).
tcf(c_67900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK7,X0,sK7,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK7,X0,sK7,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_68466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X6,X7,sK0,sK7,X2,X3,X4,X5)
| ~ eqangle(X6,X7,sK0,sK7,X0,X1,sK0,sK7)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_63948]) ).
tcf(c_70679,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK7,sK7)
| ~ coll(sK7,X0,sK7)
| ~ coll(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_70680,plain,
( coll(sK1,sK7,sK7)
| ~ coll(sK7,sK1,sK1)
| ~ coll(sK7,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_70679]) ).
tcf(c_70879,plain,
! [X0: $i,X1: $i] :
( perp(sK7,sK2,X0,X1)
| ~ perp(X0,X1,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_70880,plain,
( perp(sK7,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_70879]) ).
tcf(c_71029,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK7,X0,X1)
| ~ cong(X0,X1,X0,sK7) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_71030,plain,
( cong(sK1,sK7,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_71029]) ).
tcf(c_71323,plain,
! [X0: $i,X1: $i] :
( cong(X0,X0,sK7,X0)
| ~ midp(X0,X0,X1)
| ~ perp(X0,sK7,sK7,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_71324,plain,
( cong(sK1,sK1,sK7,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ perp(sK1,sK7,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_71323]) ).
tcf(c_71684,plain,
! [X0: $i,X1: $i] :
( perp(sK7,X0,X1,sK7)
| ~ perp(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_71685,plain,
( perp(sK7,sK1,sK1,sK7)
| ~ perp(sK7,sK1,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_71684]) ).
tcf(c_72643,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK6)
| ~ midp(X0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_72644,plain,
( cong(sK1,sK6,sK1,sK6)
| ~ midp(sK1,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_72643]) ).
tcf(c_72668,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_72669,plain,
( cong(sK1,sK5,sK1,sK5)
| ~ midp(sK1,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_72668]) ).
tcf(c_73305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK3,sK6,X2,X3,X0,X1,X2,X3)
| ~ para(sK3,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_73306,plain,
( eqangle(sK3,sK6,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ para(sK3,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_73305]) ).
tcf(c_75877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK3,sK6,X6,X7,sK5,sK3,X4,X5)
| ~ eqangle(sK3,sK6,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK5,sK3,X4,X5) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_75878,plain,
( eqangle(sK3,sK6,sK1,sK1,sK5,sK3,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK5,sK3,sK1,sK1)
| ~ eqangle(sK3,sK6,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_75877]) ).
tcf(c_76408,plain,
( eqangle(sK7,sK2,sK0,sK7,sK7,sK2,sK0,sK7)
| ~ eqangle(sK0,sK7,sK7,sK2,sK0,sK7,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_63036]) ).
tcf(c_76419,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK0,X0,X1,sK0,sK7,X0,X1)
| ~ eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_63520]) ).
tcf(c_76420,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK7,sK0,sK7)
| ~ eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_63004]) ).
tcf(c_76421,plain,
( para(sK0,sK7,sK0,sK7)
| ~ eqangle(sK0,sK7,sK1,sK1,sK0,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_76420]) ).
tcf(c_76422,plain,
( eqangle(sK7,sK0,sK1,sK1,sK0,sK7,sK1,sK1)
| ~ eqangle(sK0,sK7,sK1,sK1,sK0,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_76419]) ).
tcf(c_76430,plain,
( eqangle(sK5,sK3,sK0,sK7,sK5,sK3,sK0,sK7)
| ~ eqangle(sK0,sK7,sK5,sK3,sK0,sK7,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_63490]) ).
tcf(c_76433,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK0,sK7,X0,X1,sK0,sK7)
| ~ eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_63953]) ).
tcf(c_76445,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK7,sK0,sK7,X0,X1,X0,X1)
| ~ eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_63949]) ).
tcf(c_76446,plain,
( eqangle(sK0,sK7,sK0,sK7,sK1,sK1,sK1,sK1)
| ~ eqangle(sK0,sK7,sK1,sK1,sK0,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_76445]) ).
tcf(c_76512,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK7,sK0,sK0,sK7,sK7,sK0)
| ~ para(X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67547]) ).
tcf(c_76627,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK3,sK6,sK0,sK7,sK3,sK6)
| ~ para(X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67575]) ).
tcf(c_76835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK7,sK2,sK0,sK7,X2,X3,X4,X5)
| ~ eqangle(sK7,sK2,sK0,sK7,X0,X1,sK0,sK7)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_63765]) ).
tcf(c_76840,plain,
( eqangle(sK7,sK2,sK0,sK7,sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK0,sK7,sK1,sK1,sK1,sK1)
| ~ eqangle(sK7,sK2,sK0,sK7,sK1,sK1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_76835]) ).
tcf(c_77103,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK5,sK3,sK0,sK7,sK5,sK3)
| ~ para(X0,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67603]) ).
tcf(c_77266,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,X0,sK0,sK7,sK5,sK3,sK0,sK7)
| ~ eqangle(X0,X1,sK0,sK7,sK5,sK3,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67762]) ).
tcf(c_78316,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK7,sK7,X0)
| ~ perp(sK7,X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_78317,plain,
( perp(sK1,sK7,sK7,sK1)
| ~ perp(sK7,sK1,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_78316]) ).
tcf(c_78618,plain,
( para(sK0,sK7,sK7,sK0)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67234]) ).
tcf(c_78625,plain,
( eqangle(sK0,sK7,sK7,sK2,sK0,sK7,sK7,sK2)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_62928]) ).
tcf(c_78674,plain,
( eqangle(sK0,sK7,sK7,sK0,sK0,sK7,sK7,sK0)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_76512]) ).
tcf(c_78703,plain,
( eqangle(sK0,sK7,sK3,sK6,sK0,sK7,sK3,sK6)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_76627]) ).
tcf(c_78750,plain,
( eqangle(sK0,sK7,sK5,sK3,sK0,sK7,sK5,sK3)
| ~ para(sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_77103]) ).
tcf(c_79769,plain,
( para(sK7,sK0,sK0,sK7)
| ~ para(sK0,sK7,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_67261]) ).
tcf(c_80831,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK0,sK0,sK7,X0,X1,X0,X1)
| ~ eqangle(sK7,sK0,X0,X1,sK0,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_63949]) ).
tcf(c_80832,plain,
( eqangle(sK7,sK0,sK0,sK7,sK1,sK1,sK1,sK1)
| ~ eqangle(sK7,sK0,sK1,sK1,sK0,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_80831]) ).
tcf(c_80925,plain,
( eqangle(sK7,sK0,sK0,sK7,sK7,sK0,sK0,sK7)
| ~ eqangle(sK0,sK7,sK7,sK0,sK0,sK7,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_76433]) ).
tcf(c_80926,plain,
( para(sK7,sK0,sK7,sK0)
| ~ eqangle(sK7,sK0,sK0,sK7,sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_66368]) ).
tcf(c_80927,plain,
( eqangle(sK3,sK6,sK0,sK7,sK3,sK6,sK0,sK7)
| ~ eqangle(sK0,sK7,sK3,sK6,sK0,sK7,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_76433]) ).
tcf(c_80928,plain,
( para(sK3,sK6,sK3,sK6)
| ~ eqangle(sK3,sK6,sK0,sK7,sK3,sK6,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_66372]) ).
tcf(c_81093,plain,
( para(sK7,sK2,sK7,sK2)
| ~ eqangle(sK7,sK2,sK0,sK7,sK7,sK2,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63387]) ).
tcf(c_81106,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK7,sK0,sK7)
| ~ perp(X0,X1,X0,X1)
| ~ eqangle(sK0,sK7,sK0,sK7,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_63630]) ).
tcf(c_81109,plain,
( perp(sK0,sK7,sK0,sK7)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ eqangle(sK0,sK7,sK0,sK7,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_81106]) ).
tcf(c_82011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK6)
| ~ perp(X2,X3,X4,sK6)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_82014,plain,
( para(sK1,sK1,sK1,sK6)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_82011]) ).
tcf(c_84340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK7,sK0,sK7)
| ~ eqangle(X0,X1,sK0,sK7,X2,X3,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67431]) ).
tcf(c_87215,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK0,X0,X1,sK0,sK7,X0,X1)
| ~ para(sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63511]) ).
tcf(c_88044,plain,
( eqangle(sK3,sK5,sK0,sK7,sK5,sK3,sK0,sK7)
| ~ eqangle(sK5,sK3,sK0,sK7,sK5,sK3,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_77266]) ).
tcf(c_88325,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK7,sK7)
| ~ para(sK7,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_65333]) ).
tcf(c_88328,plain,
( midp(sK1,sK2,sK2)
| ~ midp(sK1,sK7,sK7)
| ~ para(sK7,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_88325]) ).
tcf(c_88806,plain,
! [X0: $i] :
( eqangle(sK7,X0,sK0,sK7,sK7,X0,sK0,sK7)
| ~ eqangle(sK0,sK7,sK7,X0,sK0,sK7,sK7,X0) ),
inference(instantiation,[status(thm)],[c_76433]) ).
tcf(c_88808,plain,
( eqangle(sK7,sK1,sK0,sK7,sK7,sK1,sK0,sK7)
| ~ eqangle(sK0,sK7,sK7,sK1,sK0,sK7,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_88806]) ).
tcf(c_89988,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,X0,sK7,X1,sK0,sK7,sK0,sK7)
| ~ eqangle(sK7,X0,sK0,sK7,sK7,X1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_84340]) ).
tcf(c_89989,plain,
! [X0: $i,X1: $i] :
( perp(sK7,X0,sK7,X1)
| ~ perp(sK0,sK7,sK0,sK7)
| ~ eqangle(sK7,X0,sK7,X1,sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_67900]) ).
tcf(c_89990,plain,
( eqangle(sK7,sK1,sK7,sK1,sK0,sK7,sK0,sK7)
| ~ eqangle(sK7,sK1,sK0,sK7,sK7,sK1,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_89988]) ).
tcf(c_89991,plain,
( perp(sK7,sK1,sK7,sK1)
| ~ perp(sK0,sK7,sK0,sK7)
| ~ eqangle(sK7,sK1,sK7,sK1,sK0,sK7,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_89989]) ).
tcf(c_92275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,sK0,sK7,X0,X1,X0,X1)
| ~ eqangle(X2,X3,sK0,sK7,sK7,sK0,sK0,sK7)
| ~ eqangle(sK7,sK0,sK0,sK7,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68466]) ).
tcf(c_92276,plain,
( eqangle(sK1,sK1,sK0,sK7,sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK0,sK7,sK7,sK0,sK0,sK7)
| ~ eqangle(sK7,sK0,sK0,sK7,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_92275]) ).
tcf(c_97301,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK7,sK7)
| ~ para(sK7,sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_63448]) ).
tcf(c_97303,plain,
( midp(sK1,sK0,sK0)
| ~ midp(sK1,sK7,sK7)
| ~ para(sK7,sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_97301]) ).
tcf(c_97897,plain,
( para(sK3,sK5,sK5,sK3)
| ~ eqangle(sK3,sK5,sK0,sK7,sK5,sK3,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_63352]) ).
tcf(c_99044,plain,
! [X0: $i] :
( eqangle(sK7,sK0,sK7,X0,sK0,sK7,sK7,X0)
| ~ para(sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_87215]) ).
tcf(c_99045,plain,
! [X0: $i] :
( eqangle(sK0,sK7,sK7,X0,sK0,sK7,sK7,X0)
| ~ eqangle(sK7,sK0,sK7,X0,sK0,sK7,sK7,X0) ),
inference(instantiation,[status(thm)],[c_67304]) ).
tcf(c_99046,plain,
( eqangle(sK7,sK0,sK7,sK1,sK0,sK7,sK7,sK1)
| ~ para(sK7,sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_99044]) ).
tcf(c_99047,plain,
( eqangle(sK0,sK7,sK7,sK1,sK0,sK7,sK7,sK1)
| ~ eqangle(sK7,sK0,sK7,sK1,sK0,sK7,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_99045]) ).
tcf(c_122935,plain,
( ~ midp(sK1,sK6,sK3)
| ~ midp(sK4,sK1,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_55901,c_58,c_57,c_54,c_49,c_150,c_151,c_152,c_157,c_159,c_199,c_2612,c_2613,c_2619,c_2620,c_2651,c_2661,c_2733,c_2735,c_2895,c_2901,c_3019,c_3077,c_3586,c_3746,c_3942,c_4326,c_4452,c_4952,c_4993,c_5716,c_7612,c_8948,c_11602,c_15863,c_15864,c_20887,c_22788,c_24552,c_24564,c_27549,c_27764,c_56134,c_63222,c_63764,c_63947,c_64647,c_64727,c_64924,c_65495,c_65500,c_65995,c_66105,c_66241,c_66369,c_67075,c_70680,c_70880,c_71030,c_71324,c_71685,c_73306,c_75878,c_76408,c_76421,c_76422,c_76446,c_76840,c_78317,c_78618,c_78625,c_78674,c_79769,c_80832,c_80925,c_80926,c_81093,c_81109,c_88328,c_88808,c_89990,c_89991,c_92276,c_97303,c_99046,c_99047]) ).
tcf(c_122936,plain,
( ~ midp(sK4,sK1,sK5)
| ~ midp(sK1,sK6,sK3) ),
inference(renaming,[status(thm)],[c_122935]) ).
tcf(c_123936,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK3,sK6)
| ~ coll(X1,sK3,sK6)
| ~ midp(X0,sK3,X2)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_123937,plain,
( midp(sK1,sK3,sK6)
| ~ coll(sK1,sK3,sK6)
| ~ midp(sK1,sK3,sK1)
| ~ para(sK1,sK1,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_123936]) ).
tcf(c_124060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK5,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_124109,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK5,X1,X0)
| ~ para(sK3,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_124567,plain,
! [X0: $i] :
( midp(X0,sK6,sK3)
| ~ midp(X0,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_124568,plain,
( midp(sK1,sK6,sK3)
| ~ midp(sK1,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_124567]) ).
tcf(c_126815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK6,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK6,X2,X1)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_137458,plain,
( para(sK3,sK5,sK3,sK5)
| ~ para(sK3,sK5,sK5,sK3) ),
inference(instantiation,[status(thm)],[c_124109]) ).
tcf(c_147822,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK3,sK3)
| ~ para(sK3,sK5,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_124060]) ).
tcf(c_147823,plain,
( midp(sK1,sK5,sK5)
| ~ midp(sK1,sK3,sK3)
| ~ para(sK3,sK5,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_147822]) ).
tcf(c_152193,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ midp(X0,sK3,sK3)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_126815]) ).
tcf(c_152194,plain,
( midp(sK1,sK6,sK6)
| ~ midp(sK1,sK3,sK3)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_152193]) ).
tcf(c_152195,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_152194,c_147823,c_137458,c_124568,c_123937,c_122936,c_97897,c_88044,c_82014,c_80928,c_80927,c_78750,c_78703,c_76430,c_76421,c_72669,c_72644,c_67075,c_63947,c_52356,c_51993,c_48242,c_46113,c_42425,c_30513,c_23260,c_18764,c_16343,c_16158,c_11614,c_11578,c_10788,c_8735,c_7811,c_7612,c_7005,c_6206,c_4952,c_4452,c_4326,c_3942,c_3586,c_3221,c_2901,c_2895,c_2809,c_2735,c_2733,c_2732,c_2661,c_2651,c_2620,c_2619,c_2616,c_2612,c_199,c_159,c_157,c_152,c_151,c_150,c_54,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO613+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 12:33:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 77.81/13.38 % SZS status Started for theBenchmark.p
% 77.81/13.38 % SZS status Theorem for theBenchmark.p
% 77.81/13.38
% 77.81/13.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 77.81/13.38
% 77.81/13.38 % ------ iProver source info
% 77.81/13.38
% 77.81/13.38 % git: date: 2026-07-19 20:42:38 +0200
% 77.81/13.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 77.81/13.38 % git: non_committed_changes: false
% 77.81/13.38
% 77.81/13.38 % ------ Parsing...
% 77.81/13.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 77.81/13.38
% 77.81/13.38 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 77.81/13.38
% 77.81/13.38 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 77.81/13.38 % ------ Proving...
% 77.81/13.38 % ------ Problem Properties
% 77.81/13.38
% 77.81/13.38 %
% 77.81/13.38 % clauses 98
% 77.81/13.38 % conjectures 11
% 77.81/13.38 % EPR 65
% 77.81/13.38 % Horn 93
% 77.81/13.38 % unary 11
% 77.81/13.38 % binary 24
% 77.81/13.38 % lits 267
% 77.81/13.38 % lits eq 0
% 77.81/13.38 % fd_pure 0
% 77.81/13.38 % fd_pseudo 0
% 77.81/13.38 % fd_cond 0
% 77.81/13.38 % fd_pseudo_cond 0
% 77.81/13.38 % AC symbols 0
% 77.81/13.38
% 77.81/13.38 % ------ Schedule dynamic 5 is on
% 77.81/13.38
% 77.81/13.38 % ------ no equalities: superposition off
% 77.81/13.38
% 77.81/13.38 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 77.81/13.38
% 77.81/13.38
% 77.81/13.38 % ------
% 77.81/13.38 % Current options:
% 77.81/13.38 % ------
% 77.81/13.38
% 77.81/13.38
% 77.81/13.38 %
% 77.81/13.38
% 77.81/13.38 % ------ Proving...
% 77.81/13.38 % Proof_search_loop: time out after: 7082 full_loop iterations
% 77.81/13.38
% 77.81/13.38 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 77.81/13.38
% 77.81/13.38
% 77.81/13.38 % ------
% 77.81/13.38 % Current options:
% 77.81/13.38 % ------
% 77.81/13.38
% 77.81/13.38
% 77.81/13.38 %
% 77.81/13.38
% 77.81/13.38 % ------ Proving...
% 77.81/13.38 %
% 77.81/13.38
% 77.81/13.38 % SZS status Theorem for theBenchmark.p
% 77.81/13.38
% 77.81/13.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.81/13.39
% 77.81/13.39
%------------------------------------------------------------------------------