%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO649+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 01:21:45 PM UTC 2026
% Result : Theorem 62.89s 34.14s
% Output : CNFRefutation 62.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 37
% Syntax : Number of formulae : 451 ( 87 unt; 0 def)
% Number of atoms : 1098 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1176 ( 529 ~; 523 |; 86 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 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 : 1094 ( 0 sgn1062 !; 32 ?; 412 :)
% 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(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(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(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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9) )
=> para(X7,X5,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02210) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9) )
=> para(X7,X5,X2,X3) ),
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] :
( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9)
& ~ para(X7,X5,X2,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( perp(X5,X6,X5,X7)
& perp(X5,X1,X15,X6)
& midp(X15,X5,X1)
& perp(X4,X1,X14,X6)
& midp(X14,X4,X1)
& perp(X4,X5,X13,X6)
& midp(X13,X4,X5)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X0,X1,X4,X12)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X8,X9)
& ~ para(X7,X5,X2,X3) ),
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,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,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(f161,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,[],[f160]) ).
fof(f162,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(f163,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f177]) ).
fof(f187,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(f188,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f187]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f199,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(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,
( perp(sK5,sK6,sK5,sK7)
& perp(sK5,sK1,sK15,sK6)
& midp(sK15,sK5,sK1)
& perp(sK4,sK1,sK14,sK6)
& midp(sK14,sK4,sK1)
& perp(sK4,sK5,sK13,sK6)
& midp(sK13,sK4,sK5)
& coll(sK5,sK1,sK3)
& coll(sK5,sK2,sK4)
& circle(sK0,sK1,sK4,sK12)
& circle(sK0,sK1,sK3,sK11)
& circle(sK0,sK1,sK2,sK10)
& circle(sK0,sK1,sK8,sK9)
& ~ para(sK7,sK5,sK2,sK3) ),
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(f239,plain,
perp(sK5,sK6,sK5,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
perp(sK5,sK1,sK15,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
midp(sK15,sK5,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
perp(sK4,sK1,sK14,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
midp(sK14,sK4,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK4,sK5,sK13,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
midp(sK13,sK4,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
coll(sK5,sK1,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
coll(sK5,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ para(sK7,sK5,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f278,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(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f288,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(f291,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(f292,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f294,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(f295,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(f296,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(f297,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(f298,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(f299,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f302,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,[],[f161]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f196]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f327,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,[],[f199]) ).
fof(f332,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(f333,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(f336,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(f338,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f339,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(sK7,sK5,sK2,sK3),
inference(cnf_transformation,[],[f252]) ).
tcf(c_54,negated_conjecture,
coll(sK5,sK2,sK4),
inference(cnf_transformation,[],[f247]) ).
tcf(c_55,negated_conjecture,
coll(sK5,sK1,sK3),
inference(cnf_transformation,[],[f246]) ).
tcf(c_56,negated_conjecture,
midp(sK13,sK4,sK5),
inference(cnf_transformation,[],[f245]) ).
tcf(c_57,negated_conjecture,
perp(sK4,sK5,sK13,sK6),
inference(cnf_transformation,[],[f244]) ).
tcf(c_58,negated_conjecture,
midp(sK14,sK4,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_59,negated_conjecture,
perp(sK4,sK1,sK14,sK6),
inference(cnf_transformation,[],[f242]) ).
tcf(c_60,negated_conjecture,
midp(sK15,sK5,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_61,negated_conjecture,
perp(sK5,sK1,sK15,sK6),
inference(cnf_transformation,[],[f240]) ).
tcf(c_62,negated_conjecture,
perp(sK5,sK6,sK5,sK7),
inference(cnf_transformation,[],[f239]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_123,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,[],[f313]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_134,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,[],[f324]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_158,plain,
( eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_160,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_163,plain,
( perp(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_168,plain,
( cyclic(sK1,sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_202,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_142]) ).
tcf(c_2404,plain,
( coll(sK14,sK4,sK1)
| ~ midp(sK14,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2405,plain,
( coll(sK15,sK5,sK1)
| ~ midp(sK15,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2409,plain,
( coll(sK5,sK3,sK1)
| ~ coll(sK5,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2414,plain,
( cong(sK14,sK4,sK14,sK1)
| ~ midp(sK14,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_2415,plain,
( cong(sK15,sK5,sK15,sK1)
| ~ midp(sK15,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_2416,plain,
( perp(sK13,sK6,sK4,sK5)
| ~ perp(sK4,sK5,sK13,sK6) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2423,plain,
( perp(sK5,sK6,sK7,sK5)
| ~ perp(sK5,sK6,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2432,plain,
! [X0: $i,X1: $i] :
( para(sK4,X0,sK1,X1)
| ~ midp(sK14,sK4,sK1)
| ~ midp(sK14,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2442,plain,
! [X0: $i] :
( cong(X0,sK4,X0,sK5)
| ~ midp(sK13,sK4,sK5)
| ~ perp(X0,sK13,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2443,plain,
( cong(sK1,sK4,sK1,sK5)
| ~ midp(sK13,sK4,sK5)
| ~ perp(sK1,sK13,sK4,sK5) ),
inference(instantiation,[status(thm)],[c_2442]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( midp(sK13,X0,X1)
| ~ midp(sK13,sK4,sK5)
| ~ para(sK4,X1,sK5,X0)
| ~ para(sK4,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2501,plain,
( midp(sK13,sK1,sK1)
| ~ midp(sK13,sK4,sK5)
| ~ para(sK4,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2500]) ).
tcf(c_2502,plain,
! [X0: $i,X1: $i] :
( midp(sK14,X0,X1)
| ~ midp(sK14,sK4,sK1)
| ~ para(sK4,X1,sK1,X0)
| ~ para(sK4,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2503,plain,
( midp(sK14,sK1,sK1)
| ~ midp(sK14,sK4,sK1)
| ~ para(sK4,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2502]) ).
tcf(c_2641,plain,
( coll(sK4,sK14,sK1)
| ~ coll(sK14,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2645,plain,
! [X0: $i] :
( perp(sK4,X0,X0,sK1)
| ~ coll(sK14,sK4,sK1)
| ~ circle(sK14,sK4,X0,sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_2646,plain,
( perp(sK4,sK1,sK1,sK1)
| ~ coll(sK14,sK4,sK1)
| ~ circle(sK14,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2645]) ).
tcf(c_2670,plain,
! [X0: $i] :
( perp(sK5,X0,X0,sK1)
| ~ coll(sK15,sK5,sK1)
| ~ circle(sK15,sK5,X0,sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_2671,plain,
( perp(sK5,sK1,sK1,sK1)
| ~ coll(sK15,sK5,sK1)
| ~ circle(sK15,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2670]) ).
tcf(c_2770,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK3,sK1)
| ~ coll(sK5,sK3,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2772,plain,
( coll(sK3,sK5,sK1)
| ~ coll(sK5,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2773,plain,
( coll(sK1,sK1,sK5)
| ~ coll(sK5,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2770]) ).
tcf(c_2877,plain,
! [X0: $i] :
( circle(sK14,sK4,sK1,X0)
| ~ cong(sK14,sK4,sK14,sK1)
| ~ cong(sK14,sK4,sK14,X0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_2878,plain,
( circle(sK14,sK4,sK1,sK1)
| ~ cong(sK14,sK4,sK14,sK1) ),
inference(instantiation,[status(thm)],[c_2877]) ).
tcf(c_2890,plain,
! [X0: $i] :
( circle(sK15,sK5,sK1,X0)
| ~ cong(sK15,sK5,sK15,sK1)
| ~ cong(sK15,sK5,sK15,X0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_2891,plain,
( circle(sK15,sK5,sK1,sK1)
| ~ cong(sK15,sK5,sK15,sK1) ),
inference(instantiation,[status(thm)],[c_2890]) ).
tcf(c_2903,plain,
! [X0: $i,X1: $i] :
( para(sK13,sK6,X0,X1)
| ~ perp(sK13,sK6,sK4,sK5)
| ~ perp(sK4,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2906,plain,
( para(sK13,sK6,sK1,sK1)
| ~ perp(sK13,sK6,sK4,sK5)
| ~ perp(sK4,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2903]) ).
tcf(c_3067,plain,
coll(sK13,sK4,sK5),
inference(superposition,[status(thm)],[c_56,c_84]) ).
tcf(c_3068,plain,
coll(sK14,sK4,sK1),
inference(superposition,[status(thm)],[c_58,c_84]) ).
tcf(c_3069,plain,
coll(sK15,sK5,sK1),
inference(superposition,[status(thm)],[c_60,c_84]) ).
tcf(c_3108,plain,
coll(sK1,sK5,sK3),
inference(superposition,[status(thm)],[c_55,c_90]) ).
tcf(c_3110,plain,
coll(sK4,sK14,sK1),
inference(superposition,[status(thm)],[c_3068,c_90]) ).
tcf(c_3164,plain,
coll(sK5,sK3,sK1),
inference(superposition,[status(thm)],[c_55,c_91]) ).
tcf(c_3166,plain,
coll(sK14,sK1,sK4),
inference(superposition,[status(thm)],[c_3068,c_91]) ).
tcf(c_3167,plain,
coll(sK15,sK1,sK5),
inference(superposition,[status(thm)],[c_3069,c_91]) ).
tcf(c_3266,plain,
midp(sK14,sK1,sK4),
inference(superposition,[status(thm)],[c_58,c_119]) ).
tcf(c_3291,plain,
( para(sK4,sK4,sK1,sK1)
| ~ midp(sK14,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2432]) ).
tcf(c_3318,plain,
coll(sK3,sK5,sK1),
inference(superposition,[status(thm)],[c_3164,c_90]) ).
tcf(c_3358,plain,
coll(sK1,sK14,sK4),
inference(superposition,[status(thm)],[c_3166,c_90]) ).
tcf(c_3362,plain,
coll(sK1,sK15,sK5),
inference(superposition,[status(thm)],[c_3167,c_90]) ).
tcf(c_3439,plain,
perp(sK13,sK6,sK4,sK5),
inference(superposition,[status(thm)],[c_57,c_116]) ).
tcf(c_3440,plain,
perp(sK14,sK6,sK4,sK1),
inference(superposition,[status(thm)],[c_59,c_116]) ).
tcf(c_3441,plain,
perp(sK15,sK6,sK5,sK1),
inference(superposition,[status(thm)],[c_61,c_116]) ).
tcf(c_3442,plain,
perp(sK5,sK7,sK5,sK6),
inference(superposition,[status(thm)],[c_62,c_116]) ).
tcf(c_3448,plain,
perp(sK14,sK6,sK4,sK1),
inference(superposition,[status(thm)],[c_59,c_116]) ).
tcf(c_3476,plain,
perp(sK5,sK6,sK7,sK5),
inference(superposition,[status(thm)],[c_62,c_117]) ).
tcf(c_3551,plain,
perp(sK13,sK6,sK5,sK4),
inference(superposition,[status(thm)],[c_3439,c_117]) ).
tcf(c_3582,plain,
perp(sK14,sK6,sK1,sK4),
inference(superposition,[status(thm)],[c_3440,c_117]) ).
tcf(c_3584,plain,
perp(sK14,sK6,sK1,sK4),
inference(superposition,[status(thm)],[c_3448,c_117]) ).
tcf(c_3586,plain,
perp(sK15,sK6,sK1,sK5),
inference(superposition,[status(thm)],[c_3441,c_117]) ).
tcf(c_3653,plain,
( para(sK1,sK1,sK4,sK4)
| ~ para(sK4,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK4,sK4,sK1,sK1)
| ~ eqangle(X0,X1,X2,X3,sK4,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_3657,plain,
( para(sK1,sK1,sK1,sK1)
| ~ para(sK4,sK4,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK4,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3656]) ).
tcf(c_3861,plain,
! [X0: $i] :
( coll(sK5,X0,sK13)
| ~ coll(sK13,sK4,X0) ),
inference(superposition,[status(thm)],[c_3067,c_89]) ).
tcf(c_3862,plain,
! [X0: $i] :
( coll(sK1,X0,sK14)
| ~ coll(sK14,sK4,X0) ),
inference(superposition,[status(thm)],[c_3068,c_89]) ).
tcf(c_3863,plain,
! [X0: $i] :
( coll(sK1,X0,sK15)
| ~ coll(sK15,sK5,X0) ),
inference(superposition,[status(thm)],[c_3069,c_89]) ).
tcf(c_3865,plain,
! [X0: $i] :
( coll(sK3,X0,sK1)
| ~ coll(sK1,sK5,X0) ),
inference(superposition,[status(thm)],[c_3108,c_89]) ).
tcf(c_3872,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK14,X0) ),
inference(superposition,[status(thm)],[c_3110,c_89]) ).
tcf(c_3878,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_3318,c_89]) ).
tcf(c_3883,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK14,X0) ),
inference(superposition,[status(thm)],[c_3358,c_89]) ).
tcf(c_3884,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK15,X0) ),
inference(superposition,[status(thm)],[c_3362,c_89]) ).
tcf(c_3953,plain,
( coll(sK5,sK1,sK1)
| ~ coll(sK1,sK15,sK1) ),
inference(instantiation,[status(thm)],[c_3884]) ).
tcf(c_3954,plain,
( coll(sK4,sK1,sK1)
| ~ coll(sK1,sK14,sK1) ),
inference(instantiation,[status(thm)],[c_3883]) ).
tcf(c_3957,plain,
( coll(sK1,sK1,sK3)
| ~ coll(sK3,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_3878]) ).
tcf(c_3962,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK14,sK1) ),
inference(instantiation,[status(thm)],[c_3872]) ).
tcf(c_3976,plain,
! [X0: $i] :
( coll(sK4,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_54,c_89]) ).
tcf(c_4322,plain,
! [X0: $i,X1: $i] :
( para(sK4,X0,sK5,X1)
| ~ midp(sK13,X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_102]) ).
tcf(c_4326,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK4,X1)
| ~ midp(sK14,X0,X1) ),
inference(superposition,[status(thm)],[c_3266,c_102]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i] :
( para(X0,sK13,X1,sK5)
| ~ midp(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_103]) ).
tcf(c_4554,plain,
coll(sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_54,c_3976]) ).
tcf(c_4561,plain,
! [X0: $i] :
( coll(sK5,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4554,c_89]) ).
tcf(c_4636,plain,
! [X0: $i,X1: $i] :
( para(sK4,X0,X1,sK5)
| ~ midp(sK13,X0,X1) ),
inference(superposition,[status(thm)],[c_4322,c_110]) ).
tcf(c_4799,plain,
coll(sK5,sK5,sK13),
inference(superposition,[status(thm)],[c_3067,c_3861]) ).
tcf(c_4979,plain,
coll(sK5,sK13,sK5),
inference(superposition,[status(thm)],[c_4799,c_91]) ).
tcf(c_5127,plain,
coll(sK1,sK1,sK14),
inference(superposition,[status(thm)],[c_3068,c_3862]) ).
tcf(c_5134,plain,
coll(sK1,sK14,sK1),
inference(superposition,[status(thm)],[c_5127,c_91]) ).
tcf(c_5174,plain,
coll(sK1,sK1,sK15),
inference(superposition,[status(thm)],[c_3069,c_3863]) ).
tcf(c_5181,plain,
coll(sK1,sK15,sK1),
inference(superposition,[status(thm)],[c_5174,c_91]) ).
tcf(c_5269,plain,
coll(sK3,sK3,sK1),
inference(superposition,[status(thm)],[c_3108,c_3865]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK13,X1,X2)
| ~ midp(X3,sK4,X0)
| ~ perp(X0,sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_4441,c_106]) ).
tcf(c_6456,plain,
! [X0: $i,X1: $i] :
( para(sK4,sK5,X0,X1)
| ~ perp(sK13,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_107]) ).
tcf(c_6457,plain,
! [X0: $i,X1: $i] :
( para(sK4,sK1,X0,X1)
| ~ perp(sK14,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_107]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK1,X0,X1)
| ~ perp(sK15,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_107]) ).
tcf(c_6465,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK7,X0,X1)
| ~ perp(sK5,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_3442,c_107]) ).
tcf(c_6469,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK6,X0,X1)
| ~ perp(sK7,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3476,c_107]) ).
tcf(c_6552,plain,
( para(sK5,sK6,sK1,sK1)
| ~ perp(sK7,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6469]) ).
tcf(c_6573,plain,
! [X0: $i,X1: $i] :
( para(sK4,sK1,X0,X1)
| ~ perp(sK14,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_107]) ).
tcf(c_6984,plain,
coll(sK13,sK5,sK5),
inference(superposition,[status(thm)],[c_4979,c_90]) ).
tcf(c_7011,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK14,X0) ),
inference(superposition,[status(thm)],[c_5134,c_89]) ).
tcf(c_7016,plain,
( coll(sK1,sK1,sK1)
| ~ coll(sK1,sK14,sK1) ),
inference(instantiation,[status(thm)],[c_7011]) ).
tcf(c_7158,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK4,X1)
| ~ midp(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_7159,plain,
( midp(sK1,sK4,sK1)
| ~ midp(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_7158]) ).
tcf(c_7160,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK5,X1)
| ~ midp(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_7161,plain,
( midp(sK1,sK5,sK1)
| ~ midp(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_7160]) ).
tcf(c_7380,plain,
para(sK4,sK5,sK5,sK4),
inference(superposition,[status(thm)],[c_3551,c_6456]) ).
tcf(c_7447,plain,
para(sK4,sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_3582,c_6457]) ).
tcf(c_7453,plain,
para(sK4,sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_3584,c_6573]) ).
tcf(c_7459,plain,
para(sK5,sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_3586,c_6458]) ).
tcf(c_7514,plain,
coll(sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_5269,c_91]) ).
tcf(c_7775,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK4,X1)
| ~ coll(X0,sK4,X1)
| ~ cong(X0,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_7803,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK4,sK5,X2,X1)
| ~ midp(X0,sK4,X2)
| ~ midp(X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_7804,plain,
( para(sK4,sK5,sK1,sK1)
| ~ midp(sK1,sK4,sK1)
| ~ midp(sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_7803]) ).
tcf(c_8393,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK13,sK4,sK5)
| ~ perp(X1,X2,sK4,sK5)
| ~ para(X0,sK13,X1,X2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8394,plain,
( perp(sK1,sK13,sK4,sK5)
| ~ perp(sK1,sK1,sK4,sK5)
| ~ para(sK1,sK13,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_8393]) ).
tcf(c_8401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK13,sK6,X2,X3)
| ~ para(sK13,sK6,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8402,plain,
( perp(sK13,sK6,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK13,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_8401]) ).
tcf(c_8469,plain,
para(sK5,sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_7380,c_109]) ).
tcf(c_8532,plain,
para(sK1,sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_7447,c_109]) ).
tcf(c_8542,plain,
para(sK1,sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_7453,c_109]) ).
tcf(c_8551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,X3,sK5,X2)
| ~ perp(sK4,X3,X0,X1)
| ~ perp(X0,X1,sK5,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_8552,plain,
( para(sK4,sK1,sK5,sK1)
| ~ perp(sK4,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_8551]) ).
tcf(c_8553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,X3,sK1,X2)
| ~ perp(sK4,X3,X0,X1)
| ~ perp(X0,X1,sK1,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_8554,plain,
( para(sK4,sK1,sK1,sK1)
| ~ perp(sK4,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_8553]) ).
tcf(c_8608,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK5,sK2,sK3)
| ~ para(sK7,sK5,X0,X1)
| ~ para(X0,X1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_8609,plain,
( para(sK7,sK5,sK2,sK3)
| ~ para(sK1,sK1,sK2,sK3)
| ~ para(sK7,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_8608]) ).
tcf(c_8922,plain,
para(sK1,sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_7459,c_109]) ).
tcf(c_9578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK4,sK5,X2,X3)
| ~ para(sK4,sK5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_9579,plain,
( perp(sK4,sK5,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK4,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_9578]) ).
tcf(c_9587,plain,
coll(sK1,sK3,sK3),
inference(superposition,[status(thm)],[c_7514,c_90]) ).
tcf(c_9704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK7,sK5,X2,X3)
| ~ para(sK7,sK5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_9705,plain,
( perp(sK7,sK5,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ para(sK7,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_9777,plain,
para(sK5,sK4,sK5,sK4),
inference(superposition,[status(thm)],[c_8469,c_110]) ).
tcf(c_10579,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,X1,sK4)
| ~ midp(sK14,X0,X1) ),
inference(superposition,[status(thm)],[c_4326,c_110]) ).
tcf(c_10591,plain,
( para(sK1,sK1,sK1,sK4)
| ~ midp(sK14,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_10579]) ).
tcf(c_11292,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK5)
| ~ midp(sK13,X0,X2)
| ~ midp(sK4,X1,X2)
| ~ coll(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_4636,c_88]) ).
tcf(c_11386,plain,
( midp(sK1,sK1,sK5)
| ~ midp(sK13,sK1,sK1)
| ~ midp(sK4,sK1,sK1)
| ~ coll(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_11292]) ).
tcf(c_12007,plain,
! [X0: $i] :
( perp(X0,sK1,sK5,X0)
| ~ perp(sK5,X0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_12008,plain,
( perp(sK1,sK1,sK5,sK1)
| ~ perp(sK5,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_12007]) ).
tcf(c_13070,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK1,X0,X1,sK4,sK4,X0,X1)
| ~ para(sK1,sK1,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_13071,plain,
( eqangle(sK1,sK1,sK1,sK1,sK4,sK4,sK1,sK1)
| ~ para(sK1,sK1,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_13070]) ).
tcf(c_13288,plain,
! [X0: $i] :
( midp(sK4,X0,sK1)
| ~ midp(sK1,X0,sK4)
| ~ coll(sK4,X0,sK1) ),
inference(superposition,[status(thm)],[c_8532,c_88]) ).
tcf(c_13301,plain,
( midp(sK4,sK1,sK1)
| ~ midp(sK1,sK1,sK4)
| ~ coll(sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_13288]) ).
tcf(c_13305,plain,
para(sK1,sK4,sK1,sK4),
inference(superposition,[status(thm)],[c_8542,c_110]) ).
tcf(c_14641,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK3)
| ~ para(sK2,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_14642,plain,
( para(sK1,sK1,sK2,sK3)
| ~ para(sK2,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_15276,plain,
( perp(sK1,sK1,sK4,sK5)
| ~ perp(sK4,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_18525,plain,
! [X0: $i] :
( midp(sK5,X0,sK1)
| ~ midp(sK1,X0,sK5)
| ~ coll(sK5,X0,sK1) ),
inference(superposition,[status(thm)],[c_8922,c_88]) ).
tcf(c_18527,plain,
para(sK1,sK5,sK1,sK5),
inference(superposition,[status(thm)],[c_8922,c_110]) ).
tcf(c_18541,plain,
( midp(sK5,sK1,sK1)
| ~ midp(sK1,sK1,sK5)
| ~ coll(sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_18525]) ).
tcf(c_22166,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK1,sK4)
| ~ coll(sK1,sK1,sK4)
| ~ midp(X0,sK1,X1)
| ~ para(X0,sK1,X1,sK4) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_22167,plain,
( midp(sK1,sK1,sK4)
| ~ midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK4)
| ~ para(sK1,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_22166]) ).
tcf(c_25392,plain,
para(sK5,sK7,sK5,sK7),
inference(superposition,[status(thm)],[c_62,c_6465]) ).
tcf(c_25490,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK5,sK5)
| ~ para(sK5,sK7,sK5,sK7) ),
inference(superposition,[status(thm)],[c_25392,c_101]) ).
tcf(c_25499,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK5,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25490,c_25392]) ).
tcf(c_25502,plain,
( midp(sK1,sK7,sK7)
| ~ midp(sK1,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_25499]) ).
tcf(c_25529,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK5,sK5)
| ~ para(sK5,sK4,sK5,sK4) ),
inference(superposition,[status(thm)],[c_9777,c_101]) ).
tcf(c_25538,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK5,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25529,c_9777]) ).
tcf(c_25541,plain,
( midp(sK1,sK4,sK4)
| ~ midp(sK1,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_25538]) ).
tcf(c_25668,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK5,sK5)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_25669,plain,
( midp(sK1,sK5,sK5)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_25668]) ).
tcf(c_28629,plain,
coll(sK1,sK4,sK4),
inference(superposition,[status(thm)],[c_13305,c_86]) ).
tcf(c_28943,plain,
coll(sK1,sK5,sK3),
inference(superposition,[status(thm)],[c_55,c_90]) ).
tcf(c_28965,plain,
coll(sK1,sK3,sK5),
inference(superposition,[status(thm)],[c_28943,c_91]) ).
tcf(c_28972,plain,
midp(sK15,sK1,sK5),
inference(superposition,[status(thm)],[c_60,c_119]) ).
tcf(c_29043,plain,
perp(sK5,sK7,sK5,sK6),
inference(superposition,[status(thm)],[c_62,c_116]) ).
tcf(c_29051,plain,
perp(sK5,sK6,sK7,sK5),
inference(superposition,[status(thm)],[c_62,c_117]) ).
tcf(c_29230,plain,
! [X0: $i] :
( coll(sK5,X0,sK1)
| ~ coll(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_28965,c_89]) ).
tcf(c_29253,plain,
! [X0: $i,X1: $i] :
( para(sK5,X0,sK1,X1)
| ~ midp(sK15,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_102]) ).
tcf(c_29275,plain,
! [X0: $i,X1: $i] :
( para(X0,sK13,X1,sK5)
| ~ midp(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_103]) ).
tcf(c_29322,plain,
coll(sK5,sK5,sK1),
inference(superposition,[status(thm)],[c_28965,c_29230]) ).
tcf(c_29479,plain,
coll(sK5,sK1,sK5),
inference(superposition,[status(thm)],[c_29322,c_91]) ).
tcf(c_29660,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK7,X0,X1)
| ~ perp(sK5,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_29043,c_107]) ).
tcf(c_30701,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK5,X1,sK1)
| ~ midp(sK15,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_29253,c_88]) ).
tcf(c_30702,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK13,X1,sK5)
| ~ coll(sK13,X1,sK5)
| ~ midp(X0,sK4,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_29275,c_88]) ).
tcf(c_34084,plain,
para(sK5,sK7,sK5,sK7),
inference(superposition,[status(thm)],[c_62,c_29660]) ).
tcf(c_34085,plain,
para(sK5,sK7,sK7,sK5),
inference(superposition,[status(thm)],[c_29051,c_29660]) ).
tcf(c_34087,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK5,sK5)
| ~ para(sK5,sK7,sK5,sK7) ),
inference(superposition,[status(thm)],[c_34084,c_101]) ).
tcf(c_34099,plain,
! [X0: $i] :
( midp(X0,sK7,sK7)
| ~ midp(X0,sK5,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34087,c_34084]) ).
tcf(c_34112,plain,
para(sK7,sK5,sK5,sK7),
inference(superposition,[status(thm)],[c_34085,c_109]) ).
tcf(c_34585,plain,
para(sK7,sK5,sK7,sK5),
inference(superposition,[status(thm)],[c_34112,c_110]) ).
tcf(c_35107,plain,
coll(sK4,sK1,sK4),
inference(superposition,[status(thm)],[c_28629,c_90]) ).
tcf(c_35191,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_35107,c_91]) ).
tcf(c_36146,plain,
coll(sK5,sK1,sK4),
inference(superposition,[status(thm)],[c_35191,c_4561]) ).
tcf(c_36220,plain,
coll(sK1,sK5,sK4),
inference(superposition,[status(thm)],[c_36146,c_90]) ).
tcf(c_36249,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK6)
| ~ para(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_36250,plain,
( para(sK1,sK1,sK5,sK6)
| ~ para(sK5,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_36249]) ).
tcf(c_36349,plain,
coll(sK1,sK5,sK5),
inference(superposition,[status(thm)],[c_29479,c_90]) ).
tcf(c_36365,plain,
coll(sK1,sK4,sK5),
inference(superposition,[status(thm)],[c_36220,c_91]) ).
tcf(c_39865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,sK3,X2,X3)
| ~ perp(sK2,sK3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_39868,plain,
( para(sK2,sK3,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK2,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_39865]) ).
tcf(c_40222,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK3,X0,X1)
| ~ cong(sK2,X1,sK3,X1)
| ~ cong(sK2,X0,sK3,X0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_40223,plain,
( perp(sK2,sK3,sK1,sK1)
| ~ cong(sK2,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_40222]) ).
tcf(c_42566,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK7,sK5,X1,X2)
| ~ midp(sK5,X0,X2)
| ~ midp(sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_42567,plain,
( para(sK7,sK5,sK1,sK1)
| ~ midp(sK5,sK1,sK1)
| ~ midp(sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_42566]) ).
tcf(c_46788,plain,
! [X0: $i] :
( midp(X0,sK4,sK5)
| ~ coll(X0,sK4,sK5)
| ~ cong(X0,sK4,X0,sK5) ),
inference(instantiation,[status(thm)],[c_7775]) ).
tcf(c_46789,plain,
( midp(sK1,sK4,sK5)
| ~ coll(sK1,sK4,sK5)
| ~ cong(sK1,sK4,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_46788]) ).
tcf(c_50172,plain,
! [X0: $i] :
( perp(X0,sK13,sK13,sK6)
| ~ midp(X0,sK4,sK4) ),
inference(superposition,[status(thm)],[c_57,c_6382]) ).
tcf(c_50482,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK13,X0,X1)
| ~ midp(X2,sK4,sK4)
| ~ perp(sK13,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_50172,c_107]) ).
tcf(c_50527,plain,
( para(sK1,sK13,sK1,sK1)
| ~ midp(sK1,sK4,sK4)
| ~ perp(sK13,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_50482]) ).
tcf(c_51030,plain,
( midp(sK1,sK5,sK5)
| ~ midp(sK15,sK1,sK5)
| ~ midp(sK5,sK5,sK1) ),
inference(superposition,[status(thm)],[c_36349,c_30701]) ).
tcf(c_51045,plain,
( midp(sK1,sK5,sK5)
| ~ midp(sK5,sK5,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51030,c_28972]) ).
tcf(c_51561,plain,
midp(sK1,sK5,sK5),
inference(global_subsumption_just,[status(thm)],[c_51045,c_58,c_158,c_160,c_168,c_202,c_3291,c_3653,c_3657,c_5134,c_7016,c_13071,c_18527,c_25669]) ).
tcf(c_51810,plain,
( midp(sK13,sK5,sK5)
| ~ midp(sK15,sK4,sK1)
| ~ coll(sK13,sK5,sK5) ),
inference(superposition,[status(thm)],[c_60,c_30702]) ).
tcf(c_51817,plain,
( midp(sK13,sK5,sK5)
| ~ midp(sK1,sK4,sK5)
| ~ coll(sK13,sK5,sK5) ),
inference(superposition,[status(thm)],[c_51561,c_30702]) ).
tcf(c_52865,plain,
midp(sK13,sK5,sK5),
inference(global_subsumption_just,[status(thm)],[c_51810,c_60,c_58,c_56,c_55,c_57,c_158,c_160,c_163,c_168,c_202,c_2404,c_2405,c_2409,c_2414,c_2415,c_2416,c_2443,c_2501,c_2503,c_2641,c_2646,c_2671,c_2773,c_2878,c_2891,c_2906,c_3291,c_3653,c_3657,c_3954,c_3962,c_5134,c_6984,c_7016,c_7159,c_7161,c_7804,c_8394,c_8402,c_8552,c_8554,c_9579,c_10591,c_11386,c_12008,c_13071,c_13301,c_15276,c_18527,c_22167,c_25541,c_25669,c_36365,c_46789,c_50527,c_51817]) ).
tcf(c_52872,plain,
midp(sK13,sK7,sK7),
inference(superposition,[status(thm)],[c_52865,c_34099]) ).
tcf(c_52991,plain,
! [X0: $i,X1: $i] :
( para(sK7,X0,sK7,X1)
| ~ midp(sK13,X0,X1) ),
inference(superposition,[status(thm)],[c_52872,c_102]) ).
tcf(c_53001,plain,
( para(sK7,sK1,sK7,sK1)
| ~ midp(sK13,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_52991]) ).
tcf(c_67649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,sK2,sK3)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK2,sK3,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_67667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK3,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_67679,plain,
! [X0: $i,X1: $i] :
( eqangle(sK7,sK5,sK2,sK3,X0,X1,sK2,sK3)
| ~ para(sK7,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_67860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,sK7,sK5)
| ~ perp(X2,X3,sK7,sK5)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_67889,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK3,sK2)
| ~ para(X0,X1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_67906,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK3,sK2)
| ~ perp(X0,X1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_68059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK7,sK5,X2,X3)
| ~ para(sK7,sK5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_68107,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_101]) ).
tcf(c_68116,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK3)
| ~ coll(X0,X1,sK3)
| ~ cong(X0,X1,X0,sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_68315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK2,sK3,sK7,sK5)
| ~ eqangle(X0,X1,X2,X3,sK7,sK5,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_68333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK2,sK3,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK3,X2,X3) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_68519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK7,X3,X2)
| ~ coll(sK7,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK7,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_68520,plain,
( midp(sK7,sK1,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ coll(sK7,sK1,sK1)
| ~ para(sK1,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_68519]) ).
tcf(c_68622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK2,sK3,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK2,sK3,X4,X5) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_70124,plain,
! [X0: $i,X1: $i] :
( coll(sK7,X0,X1)
| ~ para(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_70127,plain,
( coll(sK7,sK1,sK1)
| ~ para(sK7,sK1,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_70124]) ).
tcf(c_70352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,sK7,X2,X3)
| ~ perp(X2,sK7,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_70355,plain,
( para(sK1,sK7,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_70352]) ).
tcf(c_70411,plain,
! [X0: $i] :
( cong(X0,sK7,X0,sK7)
| ~ midp(X0,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_70412,plain,
( cong(sK1,sK7,sK1,sK7)
| ~ midp(sK1,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_70411]) ).
tcf(c_70516,plain,
! [X0: $i,X1: $i] :
( cong(sK2,X1,sK3,X1)
| ~ midp(X1,sK2,X0)
| ~ perp(sK2,sK3,sK3,X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_71110,plain,
! [X0: $i] :
( midp(X0,sK3,sK3)
| ~ coll(X0,sK3,sK3)
| ~ cong(X0,sK3,X0,sK3) ),
inference(instantiation,[status(thm)],[c_68116]) ).
tcf(c_71112,plain,
( midp(sK1,sK3,sK3)
| ~ coll(sK1,sK3,sK3)
| ~ cong(sK1,sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_71110]) ).
tcf(c_72023,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,sK7,X0,X1)
| ~ perp(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_72024,plain,
( perp(sK1,sK7,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_72023]) ).
tcf(c_72991,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK7)
| ~ cong(X0,sK7,X2,sK7)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_72992,plain,
( perp(sK1,sK1,sK1,sK7)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK7,sK1,sK7) ),
inference(instantiation,[status(thm)],[c_72991]) ).
tcf(c_73391,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK5)
| ~ perp(sK5,sK6,sK7,sK5)
| ~ para(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_67860]) ).
tcf(c_73985,plain,
( eqangle(sK7,sK5,sK2,sK3,sK7,sK5,sK2,sK3)
| ~ para(sK7,sK5,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_67679]) ).
tcf(c_73987,plain,
( eqangle(sK2,sK3,sK7,sK5,sK2,sK3,sK7,sK5)
| ~ eqangle(sK7,sK5,sK2,sK3,sK7,sK5,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_68315]) ).
tcf(c_79551,plain,
( eqangle(sK3,sK2,sK7,sK5,sK2,sK3,sK7,sK5)
| ~ eqangle(sK2,sK3,sK7,sK5,sK2,sK3,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_68333]) ).
tcf(c_79560,plain,
( eqangle(sK2,sK3,sK2,sK3,sK7,sK5,sK7,sK5)
| ~ eqangle(sK2,sK3,sK7,sK5,sK2,sK3,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_68622]) ).
tcf(c_79678,plain,
( perp(sK7,sK5,sK7,sK5)
| ~ perp(sK5,sK6,sK7,sK5)
| ~ para(sK7,sK5,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_73391]) ).
tcf(c_86035,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK5,sK5,sK6)
| ~ para(sK7,sK5,X0,X1)
| ~ para(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_68059]) ).
tcf(c_86036,plain,
( para(sK7,sK5,sK5,sK6)
| ~ para(sK1,sK1,sK5,sK6)
| ~ para(sK7,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_86035]) ).
tcf(c_101380,plain,
( para(sK3,sK2,sK2,sK3)
| ~ eqangle(sK3,sK2,sK7,sK5,sK2,sK3,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_67667]) ).
tcf(c_101406,plain,
( perp(sK2,sK3,sK2,sK3)
| ~ perp(sK7,sK5,sK7,sK5)
| ~ eqangle(sK2,sK3,sK2,sK3,sK7,sK5,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_67649]) ).
tcf(c_110354,plain,
( para(sK3,sK2,sK3,sK2)
| ~ para(sK3,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_67889]) ).
tcf(c_110416,plain,
( perp(sK2,sK3,sK3,sK2)
| ~ perp(sK2,sK3,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_67906]) ).
tcf(c_122051,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK3,sK3)
| ~ para(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_68107]) ).
tcf(c_122054,plain,
( midp(sK1,sK2,sK2)
| ~ midp(sK1,sK3,sK3)
| ~ para(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_122051]) ).
tcf(c_132539,plain,
! [X0: $i] :
( cong(sK2,X0,sK3,X0)
| ~ midp(X0,sK2,sK2)
| ~ perp(sK2,sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_70516]) ).
tcf(c_132540,plain,
( cong(sK2,sK1,sK3,sK1)
| ~ midp(sK1,sK2,sK2)
| ~ perp(sK2,sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_132539]) ).
tcf(c_162108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK3,X3,sK3)
| ~ cyclic(X1,sK3,X0,sK3)
| ~ cyclic(X1,sK3,X0,X3)
| ~ cyclic(X1,sK3,X0,X2)
| ~ eqangle(X0,X1,X0,sK3,X2,X3,X2,sK3) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_162109,plain,
( cong(sK1,sK3,sK1,sK3)
| ~ cyclic(sK1,sK3,sK1,sK1)
| ~ cyclic(sK1,sK3,sK1,sK3)
| ~ eqangle(sK1,sK1,sK1,sK3,sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_162108]) ).
tcf(c_167760,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK3,X2)
| ~ cyclic(X0,sK3,X1,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_167761,plain,
( cyclic(sK1,sK1,sK3,sK1)
| ~ cyclic(sK1,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_167760]) ).
tcf(c_167764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,sK3,X3)
| ~ cyclic(X0,X1,X2,sK3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_169949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X4,sK3,X2,X3,X4,sK3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_169950,plain,
( eqangle(sK1,sK1,sK1,sK3,sK1,sK1,sK1,sK3)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_169949]) ).
tcf(c_171033,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK3,X1,sK3)
| ~ cyclic(X0,X1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_171034,plain,
( cyclic(sK1,sK3,sK1,sK3)
| ~ cyclic(sK1,sK1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_171033]) ).
tcf(c_180795,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK3,X0,X2)
| ~ coll(X0,X2,sK3)
| ~ eqangle(X0,X1,X0,sK3,X2,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_180796,plain,
( cyclic(sK1,sK3,sK1,sK1)
| ~ coll(sK1,sK1,sK3)
| ~ eqangle(sK1,sK1,sK1,sK3,sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_180795]) ).
tcf(c_180870,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK3)
| ~ cyclic(X0,X1,sK3,X2) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_180871,plain,
( cyclic(sK1,sK1,sK1,sK3)
| ~ cyclic(sK1,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_180870]) ).
tcf(c_202848,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK3,sK3)
| ~ cyclic(X0,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_167764]) ).
tcf(c_202849,plain,
( cyclic(sK1,sK1,sK3,sK3)
| ~ cyclic(sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_202848]) ).
tcf(c_202850,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_202849,c_180871,c_180796,c_171034,c_169950,c_167761,c_162109,c_132540,c_122054,c_110416,c_110354,c_101406,c_101380,c_86036,c_79678,c_79560,c_79551,c_73987,c_73985,c_72992,c_72024,c_71112,c_70412,c_70355,c_70127,c_68520,c_53001,c_42567,c_40223,c_39868,c_36250,c_34585,c_25669,c_25502,c_22167,c_18541,c_18527,c_14642,c_13301,c_13071,c_12008,c_11386,c_10591,c_9705,c_9587,c_8609,c_8554,c_8552,c_7016,c_6552,c_5181,c_5134,c_3962,c_3957,c_3954,c_3953,c_3657,c_3653,c_3291,c_2891,c_2878,c_2773,c_2772,c_2671,c_2646,c_2641,c_2503,c_2501,c_2423,c_2415,c_2414,c_2409,c_2405,c_2404,c_202,c_168,c_163,c_160,c_158,c_49,c_62,c_55,c_56,c_58,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/20.59 % Computer : n010.cluster.edu
% 0.10/20.59 % Model : x86_64 x86_64
% 0.10/20.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.59 % Memory : 8046.5625MB
% 0.10/20.59 % OS : Linux 6.8.0-71-generic
% 0.10/20.59 % CPULimit : 300
% 0.10/20.59 % WCLimit : 300
% 0.10/20.59 % DateTime : Wed Sep 23 12:40:10 UTC 2026
% 0.13/20.60 % CPUTime :
% 0.13/20.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/20.63 Running first-order theorem proving
% 0.13/20.63 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
% 0.13/20.65
% 0.13/20.65 % ======== iProver multi-core TPTP/SMT =========
% 0.13/20.65
% 0.13/20.65 % Detected problem language: tptp
% 0.13/20.66 % Proving...
% 62.89/34.14 % SZS status Started for theBenchmark.p
% 62.89/34.14 % SZS status Theorem for theBenchmark.p
% 62.89/34.14
% 62.89/34.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.89/34.14
% 62.89/34.14 % ------ iProver source info
% 62.89/34.14
% 62.89/34.14 % git: date: 2026-07-19 20:42:38 +0200
% 62.89/34.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.89/34.14 % git: non_committed_changes: false
% 62.89/34.14
% 62.89/34.14 % ------ Parsing...
% 62.89/34.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.89/34.14
% 62.89/34.14 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 62.89/34.14
% 62.89/34.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.89/34.14 % ------ Proving...
% 62.89/34.14 % ------ Problem Properties
% 62.89/34.14
% 62.89/34.14 %
% 62.89/34.14 % clauses 101
% 62.89/34.14 % conjectures 14
% 62.89/34.14 % EPR 68
% 62.89/34.14 % Horn 96
% 62.89/34.14 % unary 14
% 62.89/34.14 % binary 24
% 62.89/34.14 % lits 270
% 62.89/34.14 % lits eq 0
% 62.89/34.14 % fd_pure 0
% 62.89/34.14 % fd_pseudo 0
% 62.89/34.14 % fd_cond 0
% 62.89/34.14 % fd_pseudo_cond 0
% 62.89/34.14 % AC symbols 0
% 62.89/34.14
% 62.89/34.14 % ------ Schedule dynamic 5 is on
% 62.89/34.14
% 62.89/34.14 % ------ no equalities: superposition off
% 62.89/34.14
% 62.89/34.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 62.89/34.14
% 62.89/34.14
% 62.89/34.14 % ------
% 62.89/34.14 % Current options:
% 62.89/34.14 % ------
% 62.89/34.14
% 62.89/34.14
% 62.89/34.14 %
% 62.89/34.14
% 62.89/34.14 % ------ Proving...
% 62.89/34.14 % Proof_search_loop: time out after: 8912 full_loop iterations
% 62.89/34.14
% 62.89/34.14 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 62.89/34.14
% 62.89/34.14
% 62.89/34.14 % ------
% 62.89/34.14 % Current options:
% 62.89/34.14 % ------
% 62.89/34.14
% 62.89/34.14
% 62.89/34.14 %
% 62.89/34.14
% 62.89/34.14 % ------ Proving...
% 62.89/34.14 %
% 62.89/34.14
% 62.89/34.14 % SZS status Theorem for theBenchmark.p
% 62.89/34.14
% 62.89/34.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.89/34.15
% 62.89/34.15
%------------------------------------------------------------------------------