%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO608+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:37 PM UTC 2026
% Result : Theorem 57.79s 8.91s
% Output : CNFRefutation 57.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 40
% Syntax : Number of formulae : 441 ( 29 unt; 0 def)
% Number of atoms : 1142 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1310 ( 609 ~; 603 |; 57 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 1137 ( 0 sgn1115 !; 22 ?; 439 :)
% 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(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(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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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(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(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(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] :
( ( circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) )
=> perp(X3,X4,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1) )
=> perp(X3,X4,X4,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1)
& ~ perp(X3,X4,X4,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( circle(X6,X0,X4,X5)
& circle(X3,X1,X5,X10)
& coll(X5,X0,X2)
& circle(X3,X1,X4,X9)
& coll(X4,X0,X1)
& circle(X3,X1,X7,X8)
& midp(X3,X2,X1)
& ~ perp(X3,X4,X4,X6) ),
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] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f137,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,[],[f136]) ).
fof(f142,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(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,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(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f179,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(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f179]) ).
fof(f183,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(f184,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(f185,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(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f185]) ).
fof(f188,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,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(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(f215,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
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,
( circle(sK6,sK0,sK4,sK5)
& circle(sK3,sK1,sK5,sK10)
& coll(sK5,sK0,sK2)
& circle(sK3,sK1,sK4,sK9)
& coll(sK4,sK0,sK1)
& circle(sK3,sK1,sK7,sK8)
& midp(sK3,sK2,sK1)
& ~ perp(sK3,sK4,sK4,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),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)],[f99]) ).
fof(f243,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
midp(sK3,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
~ perp(sK3,sK4,sK4,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f272,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(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f280,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,[],[f137]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f286,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,[],[f149]) ).
fof(f287,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,[],[f151]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f294,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,[],[f158]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f183]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f310,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,[],[f186]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f318,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(f319,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f197]) ).
fof(f320,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(f321,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(f326,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(f327,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(f329,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f330,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(f331,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f334,plain,
! [X2,X3,X0,X1,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,
~ perp(sK3,sK4,sK4,sK6),
inference(cnf_transformation,[],[f246]) ).
tcf(c_50,negated_conjecture,
midp(sK3,sK2,sK1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_82,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,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_90,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,[],[f280]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_130,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,[],[f320]) ).
tcf(c_131,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,[],[f321]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_140,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,[],[f330]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_144,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,[],[f334]) ).
tcf(c_148,plain,
( eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ cyclic(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_154,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_158,plain,
( perp(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_196,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_136]) ).
tcf(c_2373,plain,
( coll(sK3,sK2,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_2378,plain,
( midp(sK3,sK1,sK2)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2379,plain,
( cong(sK3,sK2,sK3,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2380,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,sK1)
| ~ coll(sK4,sK0,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2381,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2380]) ).
tcf(c_2388,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(sK3,sK2,sK1)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2389,plain,
( para(sK1,sK3,sK1,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ midp(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2388]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,X1)
| ~ midp(sK3,sK2,sK1)
| ~ para(sK2,X1,sK1,X0)
| ~ para(sK2,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2411,plain,
( midp(sK3,sK1,sK1)
| ~ midp(sK3,sK2,sK1)
| ~ para(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2410]) ).
tcf(c_2462,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK2,sK1)
| ~ coll(sK3,sK2,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2465,plain,
( coll(sK1,sK1,sK3)
| ~ coll(sK3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2462]) ).
tcf(c_2466,plain,
! [X0: $i] :
( perp(sK2,X0,X0,sK1)
| ~ coll(sK3,sK2,sK1)
| ~ circle(sK3,sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2467,plain,
( perp(sK2,sK1,sK1,sK1)
| ~ coll(sK3,sK2,sK1)
| ~ circle(sK3,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2466]) ).
tcf(c_2573,plain,
! [X0: $i] :
( cong(sK1,sK3,X0,sK3)
| ~ midp(sK3,sK1,sK2)
| ~ perp(sK1,X0,X0,sK2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2574,plain,
( cong(sK1,sK3,sK1,sK3)
| ~ midp(sK3,sK1,sK2)
| ~ perp(sK1,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2573]) ).
tcf(c_2583,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,sK1,X0,X1)
| ~ cong(sK3,sK2,sK3,sK1)
| ~ cong(sK3,sK2,sK3,X1)
| ~ cong(sK3,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_2585,plain,
! [X0: $i] :
( circle(sK3,sK2,sK1,X0)
| ~ cong(sK3,sK2,sK3,sK1)
| ~ cong(sK3,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_2586,plain,
( circle(sK3,sK2,sK1,sK1)
| ~ cong(sK3,sK2,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2585]) ).
tcf(c_2587,plain,
( cyclic(sK2,sK1,sK1,sK1)
| ~ cong(sK3,sK2,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2583]) ).
tcf(c_2667,plain,
! [X0: $i,X1: $i] :
( coll(sK4,X1,sK1)
| ~ coll(sK1,X0,sK4)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2668,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2670,plain,
( coll(sK1,sK4,sK1)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_2668]) ).
tcf(c_3033,plain,
coll(sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_78]) ).
tcf(c_3111,plain,
midp(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_3132,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK1)
| ~ coll(sK1,sK4,X1)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3134,plain,
! [X0: $i] :
( coll(sK4,sK1,X0)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3135,plain,
( coll(sK4,sK1,sK1)
| ~ coll(sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3134]) ).
tcf(c_3137,plain,
( coll(sK1,sK1,sK1)
| ~ coll(sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3132]) ).
tcf(c_3426,plain,
! [X0: $i] :
( coll(sK1,sK3,X0)
| ~ coll(sK1,X0,sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3428,plain,
( coll(sK1,sK3,sK1)
| ~ coll(sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_3426]) ).
tcf(c_3569,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_3571,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_3033,c_83]) ).
tcf(c_3821,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_52,c_3569]) ).
tcf(c_3827,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_3821,c_83]) ).
tcf(c_3881,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X0,X1,X2)
| ~ perp(sK2,X0,X0,sK1)
| ~ perp(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_3884,plain,
! [X0: $i] :
( perp(X0,sK1,sK2,X0)
| ~ perp(sK2,X0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_3885,plain,
( perp(sK1,sK1,sK2,sK1)
| ~ perp(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3884]) ).
tcf(c_3887,plain,
( para(sK2,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3881]) ).
tcf(c_3968,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK1,X0,X2,X1)
| ~ cyclic(sK2,sK1,X0,X2)
| ~ cyclic(sK2,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_3975,plain,
( cyclic(sK1,sK1,sK1,sK1)
| ~ cyclic(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3968]) ).
tcf(c_3982,plain,
coll(sK1,sK1,sK3),
inference(superposition,[status(thm)],[c_3033,c_3571]) ).
tcf(c_4181,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_105]) ).
tcf(c_4182,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_3111,c_105]) ).
tcf(c_4195,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_105]) ).
tcf(c_4221,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_106]) ).
tcf(c_4235,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_50,c_106]) ).
tcf(c_4642,plain,
coll(sK4,sK3,sK1),
inference(superposition,[status(thm)],[c_3982,c_3827]) ).
tcf(c_4854,plain,
! [X0: $i,X1: $i] :
( cong(sK3,X0,sK3,X1)
| ~ midp(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_4898,plain,
( perp(sK3,sK4,sK4,sK6)
| ~ perp(sK4,sK6,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_4905,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK2,X0,X1)
| ~ perp(X0,X1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_4906,plain,
( perp(sK1,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_4905]) ).
tcf(c_4951,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X0,sK2)
| ~ perp(X0,X1,sK2,X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_4952,plain,
( perp(sK1,sK1,sK1,sK2)
| ~ perp(sK1,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_4951]) ).
tcf(c_5011,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,X1,sK2)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_4182,c_122]) ).
tcf(c_5017,plain,
( para(sK1,sK1,sK1,sK2)
| ~ midp(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5011]) ).
tcf(c_5398,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK4)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_5399,plain,
( perp(sK1,sK1,sK1,sK4)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK4,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_5398]) ).
tcf(c_5404,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK3)
| ~ cong(X0,sK3,X1,sK3)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_5405,plain,
( perp(sK1,sK1,sK1,sK3)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_5404]) ).
tcf(c_5528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,X3,X2,sK3)
| ~ perp(sK2,X3,X0,X1)
| ~ perp(X0,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5529,plain,
( para(sK2,sK1,sK1,sK3)
| ~ perp(sK1,sK1,sK1,sK3)
| ~ perp(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5528]) ).
tcf(c_5534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,X2,sK3)
| ~ perp(sK1,X3,X0,X1)
| ~ perp(X0,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5535,plain,
( para(sK1,sK1,sK1,sK3)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_5534]) ).
tcf(c_5536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,sK2,X2,X3)
| ~ perp(sK1,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5537,plain,
( para(sK1,sK2,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5536]) ).
tcf(c_5614,plain,
coll(sK3,sK4,sK1),
inference(superposition,[status(thm)],[c_4642,c_84]) ).
tcf(c_5927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK2,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK2,X2,X1)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_5928,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK2)
| ~ para(sK1,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5927]) ).
tcf(c_6486,plain,
! [X0: $i,X1: $i] :
( perp(sK4,sK6,sK3,sK4)
| ~ para(sK4,sK6,X0,X1)
| ~ perp(X0,X1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_6487,plain,
( perp(sK4,sK6,sK3,sK4)
| ~ para(sK4,sK6,sK1,sK1)
| ~ perp(sK1,sK1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_6486]) ).
tcf(c_6671,plain,
! [X0: $i] :
( coll(X0,sK3,sK6)
| ~ coll(X0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_6672,plain,
( coll(sK1,sK3,sK6)
| ~ coll(sK1,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_6671]) ).
tcf(c_8872,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK3,sK3)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK3,X1,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_8873,plain,
( midp(sK1,sK3,sK3)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_8872]) ).
tcf(c_8881,plain,
( midp(sK3,sK3,sK3)
| ~ midp(sK3,sK2,sK1)
| ~ para(sK2,sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_2410]) ).
tcf(c_10048,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK4,X0,X1)
| ~ perp(X0,X1,X1,sK4) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_10049,plain,
( perp(sK1,sK4,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_10048]) ).
tcf(c_10218,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK4,X1)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_10219,plain,
( perp(sK1,sK1,sK4,sK1)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK4,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_10218]) ).
tcf(c_10824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK3,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK3,X2,X1)
| ~ para(X0,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_10825,plain,
( midp(sK1,sK3,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK3)
| ~ para(sK1,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_10824]) ).
tcf(c_10834,plain,
! [X0: $i] :
( midp(sK3,sK3,X0)
| ~ midp(sK3,sK2,sK1)
| ~ para(sK2,sK3,sK1,X0)
| ~ para(sK2,X0,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_2410]) ).
tcf(c_10836,plain,
( midp(sK3,sK3,sK1)
| ~ midp(sK3,sK2,sK1)
| ~ para(sK2,sK1,sK1,sK3)
| ~ para(sK2,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_10834]) ).
tcf(c_12292,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,sK1,sK3)
| ~ para(sK2,sK3,X0,X1)
| ~ para(X0,X1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_12296,plain,
( para(sK2,sK3,sK1,sK3)
| ~ para(sK1,sK1,sK1,sK3)
| ~ para(sK2,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_12292]) ).
tcf(c_13161,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK2,X1,sK1)
| ~ midp(sK3,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4195,c_82]) ).
tcf(c_14457,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,sK1,X1)
| ~ midp(X0,sK2,sK1)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_14458,plain,
( para(sK2,sK3,sK1,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ midp(sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_14457]) ).
tcf(c_14655,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK3,sK4)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,sK3,X1,sK3) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_14656,plain,
( perp(sK1,sK1,sK3,sK4)
| ~ cong(sK1,sK4,sK1,sK4)
| ~ cong(sK1,sK3,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_14655]) ).
tcf(c_14798,plain,
! [X0: $i] :
( coll(sK6,X0,sK3)
| ~ coll(X0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_14799,plain,
( coll(sK6,sK1,sK3)
| ~ coll(sK1,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_14798]) ).
tcf(c_14859,plain,
! [X0: $i,X1: $i] :
( perp(sK4,sK6,X0,X1)
| ~ cong(sK4,X1,sK6,X1)
| ~ cong(sK4,X0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_14860,plain,
( perp(sK4,sK6,sK1,sK1)
| ~ cong(sK4,sK1,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_14859]) ).
tcf(c_15505,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK6)
| ~ coll(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_15506,plain,
( coll(sK1,sK1,sK6)
| ~ coll(sK1,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_15505]) ).
tcf(c_17828,plain,
! [X0: $i] :
( cong(X0,sK4,X0,sK4)
| ~ midp(X0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_17829,plain,
( cong(sK1,sK4,sK1,sK4)
| ~ midp(sK1,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_17828]) ).
tcf(c_19354,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK3,sK1)
| ~ midp(X0,sK2,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK1,X1,sK3) ),
inference(superposition,[status(thm)],[c_4221,c_104]) ).
tcf(c_19433,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK3,sK1)
| ~ midp(X0,sK2,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK1,X1,sK3) ),
inference(superposition,[status(thm)],[c_4235,c_104]) ).
tcf(c_21135,plain,
! [X0: $i] :
( midp(X0,sK3,sK1)
| ~ midp(sK2,sK2,sK1)
| ~ midp(sK3,sK1,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_4181,c_19354]) ).
tcf(c_21179,plain,
! [X0: $i] :
( midp(X0,sK3,sK1)
| ~ midp(sK2,sK2,sK1)
| ~ midp(sK3,sK1,sK3)
| ~ midp(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_4195,c_19433]) ).
tcf(c_21217,plain,
( midp(sK3,sK3,sK1)
| ~ midp(sK2,sK2,sK1)
| ~ midp(sK3,sK1,sK3) ),
inference(superposition,[status(thm)],[c_50,c_21135]) ).
tcf(c_21236,plain,
( midp(sK3,sK3,sK1)
| ~ midp(sK2,sK2,sK1)
| ~ midp(sK3,sK1,sK3) ),
inference(superposition,[status(thm)],[c_50,c_21179]) ).
tcf(c_21317,plain,
midp(sK3,sK3,sK1),
inference(global_subsumption_just,[status(thm)],[c_21217,c_52,c_50,c_148,c_154,c_158,c_196,c_2373,c_2378,c_2379,c_2381,c_2389,c_2411,c_2467,c_2574,c_2586,c_2587,c_2670,c_3137,c_3885,c_3887,c_3975,c_4906,c_4952,c_5017,c_5405,c_5529,c_5535,c_5537,c_5928,c_10825,c_10836,c_14458]) ).
tcf(c_21321,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK1,X1)
| ~ midp(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_21317,c_105]) ).
tcf(c_21322,plain,
midp(sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_21317,c_107]) ).
tcf(c_21323,plain,
coll(sK3,sK3,sK1),
inference(superposition,[status(thm)],[c_21317,c_78]) ).
tcf(c_21336,plain,
( para(sK3,sK1,sK1,sK1)
| ~ midp(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_21321]) ).
tcf(c_21338,plain,
midp(sK3,sK3,sK1),
inference(global_subsumption_just,[status(thm)],[c_21236,c_52,c_50,c_148,c_154,c_158,c_196,c_2373,c_2378,c_2379,c_2381,c_2389,c_2411,c_2467,c_2574,c_2586,c_2587,c_2670,c_3137,c_3885,c_3887,c_3975,c_4906,c_4952,c_5017,c_5405,c_5529,c_5535,c_5537,c_5928,c_10825,c_10836,c_14458]) ).
tcf(c_21343,plain,
midp(sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_21338,c_107]) ).
tcf(c_21423,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK3)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_21322,c_106]) ).
tcf(c_21439,plain,
( para(sK1,sK3,sK1,sK3)
| ~ midp(sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_21423]) ).
tcf(c_21444,plain,
coll(sK3,sK1,sK3),
inference(superposition,[status(thm)],[c_21343,c_78]) ).
tcf(c_23134,plain,
! [X0: $i] :
( coll(sK4,sK6,sK1)
| ~ coll(sK1,X0,sK6)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_2667]) ).
tcf(c_23135,plain,
( coll(sK4,sK6,sK1)
| ~ coll(sK1,sK1,sK6)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_23134]) ).
tcf(c_26288,plain,
( midp(sK4,sK1,sK1)
| ~ coll(sK4,sK1,sK1)
| ~ cong(sK4,sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_26431,plain,
coll(sK1,sK3,sK3),
inference(superposition,[status(thm)],[c_21444,c_84]) ).
tcf(c_28892,plain,
coll(sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_78]) ).
tcf(c_28945,plain,
coll(sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_28892,c_85]) ).
tcf(c_29241,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_29247,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_28892,c_83]) ).
tcf(c_29442,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_52,c_29241]) ).
tcf(c_29589,plain,
coll(sK1,sK1,sK3),
inference(superposition,[status(thm)],[c_28892,c_29247]) ).
tcf(c_29594,plain,
! [X0: $i] :
( coll(sK3,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_29589,c_83]) ).
tcf(c_29727,plain,
coll(sK3,sK4,sK1),
inference(superposition,[status(thm)],[c_29442,c_29594]) ).
tcf(c_29835,plain,
coll(sK3,sK1,sK4),
inference(superposition,[status(thm)],[c_29727,c_85]) ).
tcf(c_37088,plain,
( midp(sK1,sK3,sK3)
| ~ midp(sK2,sK3,sK1)
| ~ midp(sK3,sK1,sK3) ),
inference(superposition,[status(thm)],[c_26431,c_13161]) ).
tcf(c_37094,plain,
( midp(sK1,sK3,sK3)
| ~ midp(sK2,sK3,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37088,c_21343]) ).
tcf(c_40544,plain,
! [X0: $i] :
( coll(sK4,X0,sK3)
| ~ coll(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_29835,c_83]) ).
tcf(c_41138,plain,
midp(sK1,sK3,sK3),
inference(global_subsumption_just,[status(thm)],[c_37094,c_52,c_50,c_148,c_154,c_196,c_2379,c_2381,c_2587,c_2670,c_3137,c_3975,c_8873,c_21439]) ).
tcf(c_41142,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK3,X1)
| ~ midp(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_41138,c_105]) ).
tcf(c_41149,plain,
( para(sK3,sK1,sK3,sK1)
| ~ midp(sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_41142]) ).
tcf(c_43256,plain,
coll(sK4,sK2,sK3),
inference(superposition,[status(thm)],[c_28945,c_40544]) ).
tcf(c_43346,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK1,sK1,sK4)
| ~ perp(sK1,sK1,X0,X1)
| ~ perp(X0,X1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_43347,plain,
( para(sK1,sK1,sK1,sK4)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_43346]) ).
tcf(c_44037,plain,
! [X0: $i] :
( coll(sK3,X0,sK4)
| ~ coll(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_43256,c_83]) ).
tcf(c_44902,plain,
( cong(sK3,sK4,sK3,sK4)
| ~ midp(sK3,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_4854]) ).
tcf(c_44903,plain,
( perp(sK3,sK3,sK3,sK4)
| ~ cong(sK3,sK4,sK3,sK4)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_5398]) ).
tcf(c_48847,plain,
! [X0: $i] :
( coll(sK6,sK1,sK4)
| ~ coll(sK4,X0,sK1)
| ~ coll(sK4,X0,sK6) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_48848,plain,
( coll(sK6,sK1,sK4)
| ~ coll(sK4,sK1,sK1)
| ~ coll(sK4,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_48847]) ).
tcf(c_50300,plain,
coll(sK3,sK3,sK4),
inference(superposition,[status(thm)],[c_43256,c_44037]) ).
tcf(c_55635,plain,
( cong(sK3,sK3,sK3,sK3)
| ~ midp(sK3,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_4854]) ).
tcf(c_57750,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK3,sK6)
| ~ coll(sK6,X0,sK3)
| ~ coll(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_57751,plain,
! [X0: $i] :
( coll(X0,sK3,sK6)
| ~ coll(sK3,X0,sK6) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_57759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,sK4,sK6)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK4,sK6,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_57795,plain,
! [X0: $i,X1: $i] :
( circle(sK3,sK4,X0,X1)
| ~ cong(sK3,sK4,sK3,X1)
| ~ cong(sK3,sK4,sK3,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_57851,plain,
( perp(sK4,sK6,sK3,sK6)
| ~ perp(sK3,sK6,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_57855,plain,
( cong(sK3,sK4,sK3,sK6)
| ~ midp(sK3,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_57867,plain,
! [X0: $i] :
( midp(sK4,sK3,X0)
| ~ coll(sK4,sK3,X0)
| ~ cong(sK4,sK3,sK4,X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_57880,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_82]) ).
tcf(c_57894,plain,
! [X0: $i] :
( coll(sK3,X0,sK6)
| ~ para(sK3,X0,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_57896,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X1,sK6)
| ~ coll(sK6,X0,sK3)
| ~ coll(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_57996,plain,
! [X0: $i,X1: $i] :
( para(X1,sK3,X1,sK6)
| ~ midp(X0,sK3,sK6)
| ~ midp(X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_58041,plain,
! [X0: $i,X1: $i] :
( perp(sK4,sK6,sK6,X1)
| ~ coll(X0,sK4,X1)
| ~ circle(X0,sK4,sK6,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_58184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,sK4,X2,X3)
| ~ eqangle(sK3,sK4,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_58194,plain,
! [X0: $i,X1: $i] :
( cong(sK3,sK4,sK3,X1)
| ~ midp(X0,sK4,X1)
| ~ perp(sK3,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_58195,plain,
( cong(sK3,sK4,sK3,sK1)
| ~ midp(sK1,sK4,sK1)
| ~ perp(sK3,sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_58194]) ).
tcf(c_58216,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK3,X1,sK4)
| ~ midp(sK3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_58260,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK6)
| ~ coll(X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_58401,plain,
! [X0: $i,X1: $i] :
( cong(sK4,sK3,sK4,X1)
| ~ midp(X0,sK3,X1)
| ~ perp(sK4,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_58428,plain,
! [X0: $i] :
( eqangle(sK3,sK6,sK3,X0,sK3,sK6,sK3,X0)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_58432,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK6,X0,X1,sK3,sK6,sK3,X1)
| ~ eqangle(X0,X1,X0,sK6,sK3,X1,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_58435,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK6,X1,X0,sK3,sK6,sK3,X0)
| ~ cyclic(sK6,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_58503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK4,sK6,sK3,sK4)
| ~ eqangle(X0,X1,X2,X3,sK3,sK4,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_58630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK3,sK4,sK4,sK6)
| ~ eqangle(sK3,sK4,sK4,sK6,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_58649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK4,sK3,sK4,sK6,X2,X3,X0,X1)
| ~ eqangle(sK4,sK6,sK4,sK3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_58713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK4,sK6,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK4,sK6,X4,X5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_58716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,sK4,sK6,X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK4,sK6,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_58804,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK6,X0)
| ~ coll(X0,X1,sK6)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_59134,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK4,sK6)
| ~ coll(X1,sK4,sK6)
| ~ midp(X0,sK4,X2)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_59153,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,X0,sK3,sK6)
| ~ eqangle(sK3,X0,X1,X2,sK3,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_59725,plain,
! [X0: $i] :
( cyclic(sK4,X0,sK3,sK3)
| ~ cyclic(X0,sK4,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_59726,plain,
( cyclic(sK4,sK1,sK3,sK3)
| ~ cyclic(sK1,sK4,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_59725]) ).
tcf(c_59967,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK4,sK4)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK4,X1,sK4) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_60447,plain,
! [X0: $i,X1: $i] :
( coll(sK6,X1,X0)
| ~ coll(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_60872,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK4,sK4,X1)
| ~ cong(X0,sK4,X1,sK4) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_60873,plain,
( cong(sK1,sK4,sK4,sK1)
| ~ cong(sK1,sK4,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_60872]) ).
tcf(c_60993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,sK6,X2,X3)
| ~ perp(sK4,sK6,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_60994,plain,
( para(sK4,sK6,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK4,sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_60993]) ).
tcf(c_61166,plain,
! [X0: $i] :
( cyclic(X0,sK4,sK3,sK3)
| ~ coll(sK3,sK3,sK4)
| ~ eqangle(sK3,X0,sK3,sK4,sK3,X0,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_61167,plain,
( cyclic(sK1,sK4,sK3,sK3)
| ~ coll(sK3,sK3,sK4)
| ~ eqangle(sK3,sK1,sK3,sK4,sK3,sK1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_61166]) ).
tcf(c_61383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK4,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_61384,plain,
( midp(sK1,sK4,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK4)
| ~ para(sK1,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_61383]) ).
tcf(c_61755,plain,
! [X0: $i,X1: $i] :
( cong(sK4,X1,sK6,X1)
| ~ midp(X1,sK4,X0)
| ~ perp(sK4,sK6,sK6,X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_61756,plain,
( cong(sK4,sK1,sK6,sK1)
| ~ midp(sK1,sK4,sK1)
| ~ perp(sK4,sK6,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_61755]) ).
tcf(c_61846,plain,
! [X0: $i,X1: $i] :
( cyclic(sK6,X1,X0,sK3)
| ~ cyclic(sK6,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_61926,plain,
! [X0: $i] :
( para(sK3,sK4,sK3,sK4)
| ~ eqangle(sK3,sK4,sK3,X0,sK3,sK4,sK3,X0) ),
inference(instantiation,[status(thm)],[c_58184]) ).
tcf(c_61928,plain,
( para(sK3,sK4,sK3,sK4)
| ~ eqangle(sK3,sK4,sK3,sK1,sK3,sK4,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_61926]) ).
tcf(c_62018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK4,X2,X3)
| ~ perp(X4,sK4,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_62019,plain,
( para(sK1,sK4,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_62018]) ).
tcf(c_63086,plain,
! [X0: $i] :
( eqangle(sK3,sK6,sK3,X0,sK3,sK6,sK3,X0)
| ~ eqangle(sK3,X0,sK3,sK6,sK3,X0,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_58432]) ).
tcf(c_63087,plain,
! [X0: $i] :
( eqangle(sK3,X0,sK3,sK6,sK3,X0,sK3,sK6)
| ~ para(sK3,X0,sK3,X0) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_63088,plain,
( eqangle(sK3,sK6,sK3,sK1,sK3,sK6,sK3,sK1)
| ~ eqangle(sK3,sK1,sK3,sK6,sK3,sK1,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_63086]) ).
tcf(c_63089,plain,
( eqangle(sK3,sK1,sK3,sK6,sK3,sK1,sK3,sK6)
| ~ para(sK3,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_63087]) ).
tcf(c_64401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK3,sK4,X2,X3,sK3,sK4)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_67140,plain,
! [X0: $i] :
( eqangle(sK3,sK4,sK3,X0,sK3,sK4,sK3,X0)
| ~ cyclic(sK4,X0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_67141,plain,
( eqangle(sK3,sK4,sK3,sK1,sK3,sK4,sK3,sK1)
| ~ cyclic(sK4,sK1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_67140]) ).
tcf(c_68908,plain,
! [X0: $i,X1: $i] :
( cong(sK4,X1,X0,sK4)
| ~ cong(X0,sK4,sK4,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_68909,plain,
( cong(sK4,sK1,sK1,sK4)
| ~ cong(sK1,sK4,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_68908]) ).
tcf(c_69259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK3,X3,sK4,X2)
| ~ para(sK3,X3,X0,X1)
| ~ perp(X0,X1,sK4,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_69260,plain,
( perp(sK3,sK1,sK4,sK1)
| ~ para(sK3,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_69259]) ).
tcf(c_70504,plain,
( cyclic(sK6,sK4,sK3,sK3)
| ~ coll(sK3,sK3,sK4)
| ~ eqangle(sK3,sK6,sK3,sK4,sK3,sK6,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_61166]) ).
tcf(c_70505,plain,
! [X0: $i] :
( coll(X0,sK6,sK3)
| ~ coll(sK3,sK3,sK6)
| ~ coll(sK3,sK3,X0) ),
inference(instantiation,[status(thm)],[c_58804]) ).
tcf(c_70509,plain,
( coll(sK1,sK6,sK3)
| ~ coll(sK3,sK3,sK1)
| ~ coll(sK3,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_70505]) ).
tcf(c_70536,plain,
( coll(sK6,sK3,sK6)
| ~ coll(sK3,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_57751]) ).
tcf(c_70537,plain,
( coll(sK6,sK6,sK3)
| ~ coll(sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_60447]) ).
tcf(c_70543,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK6,X0)
| ~ coll(X0,sK3,sK6)
| ~ coll(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_58804]) ).
tcf(c_70547,plain,
( coll(sK1,sK6,sK1)
| ~ coll(sK1,sK3,sK1)
| ~ coll(sK1,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_70543]) ).
tcf(c_70881,plain,
! [X0: $i] :
( cyclic(sK6,sK3,X0,sK3)
| ~ cyclic(sK6,X0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_61846]) ).
tcf(c_72406,plain,
! [X0: $i] :
( para(sK3,sK6,sK3,sK6)
| ~ eqangle(sK3,sK6,sK3,X0,sK3,sK6,sK3,X0) ),
inference(instantiation,[status(thm)],[c_59153]) ).
tcf(c_72407,plain,
( para(sK3,sK6,sK3,sK6)
| ~ eqangle(sK3,sK6,sK3,sK1,sK3,sK6,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_72406]) ).
tcf(c_73456,plain,
! [X0: $i,X1: $i] :
( cong(sK4,X0,sK4,X1)
| ~ cong(sK4,X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_73457,plain,
( cong(sK4,sK1,sK4,sK1)
| ~ cong(sK4,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_73456]) ).
tcf(c_74263,plain,
! [X0: $i] :
( eqangle(X0,sK6,X0,sK3,sK3,sK6,sK3,sK3)
| ~ cyclic(sK6,sK3,X0,sK3) ),
inference(instantiation,[status(thm)],[c_58435]) ).
tcf(c_76187,plain,
! [X0: $i,X1: $i] :
( midp(sK3,sK4,sK6)
| ~ coll(sK3,sK4,sK6)
| ~ midp(X0,sK4,X1)
| ~ para(X0,sK3,X1,sK6) ),
inference(instantiation,[status(thm)],[c_59134]) ).
tcf(c_76188,plain,
( midp(sK3,sK4,sK6)
| ~ coll(sK3,sK4,sK6)
| ~ midp(sK1,sK4,sK1)
| ~ para(sK1,sK3,sK1,sK6) ),
inference(instantiation,[status(thm)],[c_76187]) ).
tcf(c_76311,plain,
! [X0: $i] :
( coll(sK3,sK4,sK6)
| ~ coll(sK6,X0,sK4)
| ~ coll(sK6,X0,sK3) ),
inference(instantiation,[status(thm)],[c_57896]) ).
tcf(c_76313,plain,
( coll(sK3,sK4,sK6)
| ~ coll(sK6,sK1,sK4)
| ~ coll(sK6,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_76311]) ).
tcf(c_77636,plain,
! [X0: $i] :
( coll(sK4,sK3,sK6)
| ~ coll(sK6,X0,sK4)
| ~ coll(sK6,X0,sK3) ),
inference(instantiation,[status(thm)],[c_57750]) ).
tcf(c_77637,plain,
( coll(sK4,sK3,sK6)
| ~ coll(sK6,sK1,sK4)
| ~ coll(sK6,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_77636]) ).
tcf(c_77768,plain,
! [X0: $i] :
( coll(sK4,X0,sK6)
| ~ coll(sK4,sK6,X0) ),
inference(instantiation,[status(thm)],[c_58260]) ).
tcf(c_77769,plain,
( coll(sK4,sK1,sK6)
| ~ coll(sK4,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_77768]) ).
tcf(c_79037,plain,
( midp(sK6,sK3,sK6)
| ~ coll(sK6,sK3,sK6)
| ~ midp(sK3,sK3,sK3)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_57880]) ).
tcf(c_79041,plain,
( coll(sK3,sK6,sK6)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_57894]) ).
tcf(c_79646,plain,
( eqangle(sK3,sK6,sK3,sK4,sK3,sK6,sK3,sK4)
| ~ para(sK3,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_58428]) ).
tcf(c_79976,plain,
( cyclic(sK6,sK3,sK4,sK3)
| ~ cyclic(sK6,sK4,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_70881]) ).
tcf(c_80301,plain,
! [X0: $i] :
( coll(X0,sK3,sK6)
| ~ coll(sK6,sK6,sK3)
| ~ coll(sK6,sK6,X0) ),
inference(instantiation,[status(thm)],[c_57750]) ).
tcf(c_80642,plain,
( eqangle(sK4,sK6,sK4,sK3,sK3,sK6,sK3,sK3)
| ~ cyclic(sK6,sK3,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_74263]) ).
tcf(c_80643,plain,
( eqangle(sK4,sK3,sK4,sK6,sK3,sK3,sK3,sK6)
| ~ eqangle(sK4,sK6,sK4,sK3,sK3,sK6,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_58649]) ).
tcf(c_86338,plain,
! [X0: $i] :
( eqangle(sK3,X0,sK3,sK4,sK3,X0,sK3,sK4)
| ~ para(sK3,X0,sK3,X0) ),
inference(instantiation,[status(thm)],[c_64401]) ).
tcf(c_86339,plain,
( eqangle(sK3,sK1,sK3,sK4,sK3,sK1,sK3,sK4)
| ~ para(sK3,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_86338]) ).
tcf(c_87391,plain,
( coll(sK3,sK3,sK6)
| ~ coll(sK6,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_80301]) ).
tcf(c_89285,plain,
( eqangle(sK3,sK4,sK4,sK6,sK3,sK3,sK3,sK6)
| ~ eqangle(sK4,sK3,sK4,sK6,sK3,sK3,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_58716]) ).
tcf(c_91759,plain,
( midp(sK3,sK4,sK4)
| ~ midp(sK3,sK3,sK3)
| ~ para(sK3,sK4,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_58216]) ).
tcf(c_91761,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK3,sK3)
| ~ para(sK3,sK4,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_59967]) ).
tcf(c_91762,plain,
( midp(sK1,sK4,sK4)
| ~ midp(sK1,sK3,sK3)
| ~ para(sK3,sK4,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_91761]) ).
tcf(c_94110,plain,
( midp(sK4,sK3,sK6)
| ~ coll(sK4,sK3,sK6)
| ~ cong(sK4,sK3,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_57867]) ).
tcf(c_94116,plain,
! [X0: $i] :
( para(X0,sK3,X0,sK6)
| ~ midp(sK4,sK3,sK6)
| ~ midp(sK4,X0,X0) ),
inference(instantiation,[status(thm)],[c_57996]) ).
tcf(c_94118,plain,
( para(sK1,sK3,sK1,sK6)
| ~ midp(sK4,sK1,sK1)
| ~ midp(sK4,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_94116]) ).
tcf(c_94250,plain,
! [X0: $i] :
( circle(sK3,sK4,sK6,X0)
| ~ cong(sK3,sK4,sK3,sK6)
| ~ cong(sK3,sK4,sK3,X0) ),
inference(instantiation,[status(thm)],[c_57795]) ).
tcf(c_94251,plain,
! [X0: $i] :
( perp(sK4,sK6,sK6,X0)
| ~ coll(sK3,sK4,X0)
| ~ circle(sK3,sK4,sK6,X0) ),
inference(instantiation,[status(thm)],[c_58041]) ).
tcf(c_94252,plain,
( circle(sK3,sK4,sK6,sK1)
| ~ cong(sK3,sK4,sK3,sK1)
| ~ cong(sK3,sK4,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_94250]) ).
tcf(c_94253,plain,
( perp(sK4,sK6,sK6,sK1)
| ~ coll(sK3,sK4,sK1)
| ~ circle(sK3,sK4,sK6,sK1) ),
inference(instantiation,[status(thm)],[c_94251]) ).
tcf(c_95047,plain,
! [X0: $i] :
( cong(sK4,sK3,sK4,sK6)
| ~ midp(X0,sK3,sK6)
| ~ perp(sK4,X0,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_58401]) ).
tcf(c_97381,plain,
( eqangle(sK3,sK3,sK3,sK6,sK3,sK4,sK4,sK6)
| ~ eqangle(sK3,sK4,sK4,sK6,sK3,sK3,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_58630]) ).
tcf(c_103173,plain,
( eqangle(sK3,sK6,sK3,sK3,sK4,sK6,sK3,sK4)
| ~ eqangle(sK3,sK3,sK3,sK6,sK3,sK4,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_58503]) ).
tcf(c_105390,plain,
( cong(sK4,sK3,sK4,sK6)
| ~ midp(sK6,sK3,sK6)
| ~ perp(sK4,sK6,sK3,sK6) ),
inference(instantiation,[status(thm)],[c_95047]) ).
tcf(c_108670,plain,
( eqangle(sK3,sK6,sK4,sK6,sK3,sK3,sK3,sK4)
| ~ eqangle(sK3,sK6,sK3,sK3,sK4,sK6,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_58713]) ).
tcf(c_114197,plain,
( perp(sK3,sK6,sK4,sK6)
| ~ perp(sK3,sK3,sK3,sK4)
| ~ eqangle(sK3,sK6,sK4,sK6,sK3,sK3,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_57759]) ).
tcf(c_114198,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_114197,c_108670,c_105390,c_103173,c_97381,c_94253,c_94252,c_94118,c_94110,c_91762,c_91759,c_89285,c_87391,c_86339,c_80643,c_80642,c_79976,c_79646,c_79041,c_79037,c_77769,c_77637,c_76313,c_76188,c_73457,c_72407,c_70547,c_70537,c_70536,c_70509,c_70504,c_69260,c_68909,c_67141,c_63089,c_63088,c_62019,c_61928,c_61756,c_61384,c_61167,c_60994,c_60873,c_59726,c_58195,c_57855,c_57851,c_55635,c_50300,c_48848,c_44903,c_44902,c_43347,c_41149,c_26288,c_23135,c_21439,c_21336,c_21323,c_17829,c_15506,c_14860,c_14799,c_14656,c_14458,c_12296,c_10825,c_10219,c_10049,c_8881,c_8873,c_6672,c_6487,c_5928,c_5614,c_5537,c_5535,c_5405,c_5399,c_5017,c_4952,c_4906,c_4898,c_3975,c_3887,c_3885,c_3428,c_3137,c_3135,c_2670,c_2587,c_2586,c_2574,c_2467,c_2465,c_2411,c_2389,c_2381,c_2379,c_2378,c_2373,c_196,c_158,c_154,c_148,c_49,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO608+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 12:33:28 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 57.79/8.91 % SZS status Started for theBenchmark.p
% 57.79/8.91 % SZS status Theorem for theBenchmark.p
% 57.79/8.91
% 57.79/8.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.79/8.91
% 57.79/8.91 % ------ iProver source info
% 57.79/8.91
% 57.79/8.91 % git: date: 2026-07-19 20:42:38 +0200
% 57.79/8.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.79/8.91 % git: non_committed_changes: false
% 57.79/8.91
% 57.79/8.91 % ------ Parsing...
% 57.79/8.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.79/8.91
% 57.79/8.91 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 57.79/8.91
% 57.79/8.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 57.79/8.91 % ------ Proving...
% 57.79/8.91 % ------ Problem Properties
% 57.79/8.91
% 57.79/8.91 %
% 57.79/8.91 % clauses 95
% 57.79/8.91 % conjectures 8
% 57.79/8.91 % EPR 62
% 57.79/8.91 % Horn 90
% 57.79/8.91 % unary 8
% 57.79/8.91 % binary 24
% 57.79/8.91 % lits 264
% 57.79/8.91 % lits eq 0
% 57.79/8.91 % fd_pure 0
% 57.79/8.91 % fd_pseudo 0
% 57.79/8.91 % fd_cond 0
% 57.79/8.91 % fd_pseudo_cond 0
% 57.79/8.91 % AC symbols 0
% 57.79/8.91
% 57.79/8.91 % ------ Schedule dynamic 5 is on
% 57.79/8.91
% 57.79/8.91 % ------ no equalities: superposition off
% 57.79/8.91
% 57.79/8.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.79/8.91
% 57.79/8.91
% 57.79/8.91 % ------
% 57.79/8.91 % Current options:
% 57.79/8.91 % ------
% 57.79/8.91
% 57.79/8.91
% 57.79/8.91 %
% 57.79/8.91
% 57.79/8.91 % ------ Proving...
% 57.79/8.91 %
% 57.79/8.91
% 57.79/8.91 % SZS status Theorem for theBenchmark.p
% 57.79/8.91
% 57.79/8.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.79/8.93
% 57.79/8.93
%------------------------------------------------------------------------------