%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO659+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:21:47 PM UTC 2026
% Result : Theorem 49.89s 8.86s
% Output : CNFRefutation 49.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 344 ( 44 unt; 0 def)
% Number of atoms : 891 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 977 ( 430 ~; 424 |; 89 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 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 : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 952 ( 0 sgn 926 !; 26 ?; 330 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X5,X0,X7,X12)
& coll(X0,X3,X7)
& circle(X5,X1,X6,X11)
& coll(X1,X4,X6)
& perp(X2,X1,X10,X5)
& midp(X10,X2,X1)
& perp(X0,X1,X9,X5)
& midp(X9,X0,X1)
& perp(X0,X2,X8,X5)
& midp(X8,X0,X2)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> para(X3,X4,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02317) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X5,X0,X7,X12)
& coll(X0,X3,X7)
& circle(X5,X1,X6,X11)
& coll(X1,X4,X6)
& perp(X2,X1,X10,X5)
& midp(X10,X2,X1)
& perp(X0,X1,X9,X5)
& midp(X9,X0,X1)
& perp(X0,X2,X8,X5)
& midp(X8,X0,X2)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> para(X3,X4,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( circle(X5,X0,X7,X12)
& coll(X0,X3,X7)
& circle(X5,X1,X6,X11)
& coll(X1,X4,X6)
& perp(X2,X1,X10,X5)
& midp(X10,X2,X1)
& perp(X0,X1,X9,X5)
& midp(X9,X0,X1)
& perp(X0,X2,X8,X5)
& midp(X8,X0,X2)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ para(X3,X4,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( circle(X5,X0,X7,X12)
& coll(X0,X3,X7)
& circle(X5,X1,X6,X11)
& coll(X1,X4,X6)
& perp(X2,X1,X10,X5)
& midp(X10,X2,X1)
& perp(X0,X1,X9,X5)
& midp(X9,X0,X1)
& perp(X0,X2,X8,X5)
& midp(X8,X0,X2)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ para(X3,X4,X6,X7) ),
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(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(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f220,plain,
( circle(sK5,sK0,sK7,sK12)
& coll(sK0,sK3,sK7)
& circle(sK5,sK1,sK6,sK11)
& coll(sK1,sK4,sK6)
& perp(sK2,sK1,sK10,sK5)
& midp(sK10,sK2,sK1)
& perp(sK0,sK1,sK9,sK5)
& midp(sK9,sK0,sK1)
& perp(sK0,sK2,sK8,sK5)
& midp(sK8,sK0,sK2)
& coll(sK4,sK0,sK2)
& perp(sK4,sK1,sK0,sK2)
& coll(sK3,sK1,sK2)
& perp(sK3,sK0,sK1,sK2)
& ~ para(sK3,sK4,sK6,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),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)],[f99]) ).
fof(f243,plain,
perp(sK2,sK1,sK10,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
midp(sK9,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
perp(sK0,sK2,sK8,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
midp(sK8,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
coll(sK4,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
perp(sK4,sK1,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
coll(sK3,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
perp(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f253,plain,
~ para(sK3,sK4,sK6,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f279,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(f280,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f292,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(f293,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f295,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(f296,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(f297,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(f298,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(f299,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(f300,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f303,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(f304,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(f305,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f191]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f324,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f195]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f196]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_49,negated_conjecture,
~ para(sK3,sK4,sK6,sK7),
inference(cnf_transformation,[],[f253]) ).
tcf(c_50,negated_conjecture,
perp(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f252]) ).
tcf(c_51,negated_conjecture,
coll(sK3,sK1,sK2),
inference(cnf_transformation,[],[f251]) ).
tcf(c_52,negated_conjecture,
perp(sK4,sK1,sK0,sK2),
inference(cnf_transformation,[],[f250]) ).
tcf(c_53,negated_conjecture,
coll(sK4,sK0,sK2),
inference(cnf_transformation,[],[f249]) ).
tcf(c_54,negated_conjecture,
midp(sK8,sK0,sK2),
inference(cnf_transformation,[],[f248]) ).
tcf(c_55,negated_conjecture,
perp(sK0,sK2,sK8,sK5),
inference(cnf_transformation,[],[f247]) ).
tcf(c_56,negated_conjecture,
midp(sK9,sK0,sK1),
inference(cnf_transformation,[],[f246]) ).
tcf(c_59,negated_conjecture,
perp(sK2,sK1,sK10,sK5),
inference(cnf_transformation,[],[f243]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_89,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,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,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,[],[f298]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_154,plain,
( coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_159,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_161,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_164,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_169,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_203,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_2188,plain,
( coll(sK0,sK4,sK2)
| ~ coll(sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2192,plain,
( coll(sK4,sK2,sK0)
| ~ coll(sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2195,plain,
( midp(sK8,sK2,sK0)
| ~ midp(sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_2196,plain,
( midp(sK9,sK1,sK0)
| ~ midp(sK9,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_2198,plain,
( cong(sK8,sK0,sK8,sK2)
| ~ midp(sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2199,plain,
( cong(sK9,sK0,sK9,sK1)
| ~ midp(sK9,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2223,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK2,X1)
| ~ midp(sK8,sK0,sK2)
| ~ midp(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2557,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK4,sK2)
| ~ coll(sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2560,plain,
( coll(sK2,sK0,sK0)
| ~ coll(sK0,sK4,sK2)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2557]) ).
tcf(c_2665,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK2,sK0)
| ~ coll(sK4,sK2,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2667,plain,
( coll(sK2,sK4,sK0)
| ~ coll(sK4,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2668,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK4,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2665]) ).
tcf(c_2739,plain,
( cong(sK8,sK2,sK8,sK0)
| ~ midp(sK8,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2764,plain,
( cong(sK9,sK1,sK9,sK0)
| ~ midp(sK9,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i] :
( cong(sK8,sK0,X0,X1)
| ~ cong(sK8,sK0,sK8,sK2)
| ~ cong(sK8,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_2829,plain,
! [X0: $i,X1: $i] :
( cong(sK9,sK0,X0,X1)
| ~ cong(sK9,sK0,sK9,sK1)
| ~ cong(sK9,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_2890,plain,
coll(sK8,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_85]) ).
tcf(c_2891,plain,
coll(sK9,sK0,sK1),
inference(superposition,[status(thm)],[c_56,c_85]) ).
tcf(c_2930,plain,
coll(sK1,sK3,sK2),
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_2934,plain,
coll(sK0,sK8,sK2),
inference(superposition,[status(thm)],[c_2890,c_91]) ).
tcf(c_2935,plain,
coll(sK0,sK9,sK1),
inference(superposition,[status(thm)],[c_2891,c_91]) ).
tcf(c_3007,plain,
coll(sK4,sK2,sK0),
inference(superposition,[status(thm)],[c_53,c_92]) ).
tcf(c_3011,plain,
coll(sK9,sK1,sK0),
inference(superposition,[status(thm)],[c_2891,c_92]) ).
tcf(c_3017,plain,
coll(sK0,sK2,sK8),
inference(superposition,[status(thm)],[c_2934,c_92]) ).
tcf(c_3018,plain,
coll(sK0,sK1,sK9),
inference(superposition,[status(thm)],[c_2935,c_92]) ).
tcf(c_3142,plain,
( para(sK0,sK0,sK2,sK2)
| ~ midp(sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2223]) ).
tcf(c_3183,plain,
coll(sK2,sK4,sK0),
inference(superposition,[status(thm)],[c_3007,c_91]) ).
tcf(c_3230,plain,
coll(sK1,sK9,sK0),
inference(superposition,[status(thm)],[c_3011,c_91]) ).
tcf(c_3289,plain,
perp(sK1,sK2,sK3,sK0),
inference(superposition,[status(thm)],[c_50,c_117]) ).
tcf(c_3291,plain,
perp(sK8,sK5,sK0,sK2),
inference(superposition,[status(thm)],[c_55,c_117]) ).
tcf(c_3293,plain,
perp(sK10,sK5,sK2,sK1),
inference(superposition,[status(thm)],[c_59,c_117]) ).
tcf(c_3331,plain,
perp(sK3,sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_118]) ).
tcf(c_3332,plain,
perp(sK4,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_52,c_118]) ).
tcf(c_3455,plain,
perp(sK1,sK2,sK0,sK3),
inference(superposition,[status(thm)],[c_3289,c_118]) ).
tcf(c_3490,plain,
perp(sK8,sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_3291,c_118]) ).
tcf(c_3498,plain,
perp(sK10,sK5,sK1,sK2),
inference(superposition,[status(thm)],[c_3293,c_118]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK0,X0,X1)
| ~ para(sK0,sK0,sK2,sK2)
| ~ para(sK2,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3667,plain,
( para(sK2,sK2,sK0,sK0)
| ~ para(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_3670,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK2,sK2,sK0,sK0)
| ~ para(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_3663]) ).
tcf(c_3679,plain,
perp(sK0,sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_3455,c_117]) ).
tcf(c_3784,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_2930,c_90]) ).
tcf(c_3804,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_3183,c_90]) ).
tcf(c_3806,plain,
! [X0: $i] :
( coll(sK8,X0,sK0)
| ~ coll(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_3017,c_90]) ).
tcf(c_3807,plain,
! [X0: $i] :
( coll(sK9,X0,sK0)
| ~ coll(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_3018,c_90]) ).
tcf(c_3874,plain,
( coll(sK9,sK0,sK0)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_3807]) ).
tcf(c_3875,plain,
( coll(sK8,sK0,sK0)
| ~ coll(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_3806]) ).
tcf(c_3877,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_3804]) ).
tcf(c_4077,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4078,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_4077]) ).
tcf(c_4079,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK4,X1)
| ~ coll(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4080,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_4079]) ).
tcf(c_4095,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_4096,plain,
( midp(sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_4095]) ).
tcf(c_4097,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK1,X1)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_4098,plain,
( midp(sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_4097]) ).
tcf(c_4293,plain,
( para(sK3,sK4,sK6,sK7)
| ~ para(sK6,sK7,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ para(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4303,plain,
( para(sK0,sK1,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_4302]) ).
tcf(c_4314,plain,
! [X0: $i,X1: $i] :
( para(X1,sK0,X0,sK3)
| ~ para(X0,sK3,X1,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4315,plain,
( para(sK0,sK0,sK0,sK3)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4314]) ).
tcf(c_4338,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK2,X1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_4339,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK1,X1)
| ~ midp(sK9,X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_103]) ).
tcf(c_4460,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK9,X0) ),
inference(superposition,[status(thm)],[c_3230,c_90]) ).
tcf(c_4465,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_4460]) ).
tcf(c_4789,plain,
! [X0: $i,X1: $i] :
( midp(sK8,X0,X1)
| ~ coll(sK8,X0,X1)
| ~ cong(sK8,X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4790,plain,
( midp(sK8,sK0,sK0)
| ~ coll(sK8,sK0,sK0)
| ~ cong(sK8,sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_4789]) ).
tcf(c_4791,plain,
! [X0: $i,X1: $i] :
( midp(sK9,X0,X1)
| ~ coll(sK9,X0,X1)
| ~ cong(sK9,X0,sK9,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4792,plain,
( midp(sK9,sK0,sK0)
| ~ coll(sK9,sK0,sK0)
| ~ cong(sK9,sK0,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_4791]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,sK1,X2,X1)
| ~ midp(X0,sK2,X2)
| ~ midp(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_4921,plain,
( para(sK2,sK1,sK0,sK0)
| ~ midp(sK0,sK2,sK0)
| ~ midp(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_4920]) ).
tcf(c_4959,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,X1,sK2)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_4338,c_111]) ).
tcf(c_4965,plain,
( para(sK0,sK0,sK0,sK2)
| ~ midp(sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4959]) ).
tcf(c_5003,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,X1,sK1)
| ~ midp(sK9,X0,X1) ),
inference(superposition,[status(thm)],[c_4339,c_111]) ).
tcf(c_5009,plain,
( para(sK0,sK0,sK0,sK1)
| ~ midp(sK9,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5003]) ).
tcf(c_5375,plain,
( cong(sK4,sK0,sK4,sK2)
| ~ midp(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_115]) ).
tcf(c_5386,plain,
( cong(sK4,sK2,sK4,sK0)
| ~ midp(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_3332,c_115]) ).
tcf(c_5542,plain,
( coll(sK2,sK2,sK0)
| ~ coll(sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2557]) ).
tcf(c_5688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK1,sK2,X2,X3)
| ~ para(sK1,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_5689,plain,
( perp(sK1,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5688]) ).
tcf(c_5915,plain,
! [X0: $i,X1: $i] :
( coll(sK0,sK2,X0)
| ~ coll(X0,X1,sK2)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5916,plain,
( coll(sK0,sK2,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5915]) ).
tcf(c_6086,plain,
( cong(sK4,sK2,sK4,sK0)
| ~ midp(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5375,c_132]) ).
tcf(c_6269,plain,
! [X0: $i] :
( cong(sK8,sK0,sK8,X0)
| ~ cong(sK8,sK0,sK8,sK2)
| ~ cong(sK8,sK2,sK8,X0) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_6271,plain,
( cong(sK8,sK0,sK8,sK0)
| ~ cong(sK8,sK2,sK8,sK0)
| ~ cong(sK8,sK0,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_6269]) ).
tcf(c_6316,plain,
! [X0: $i] :
( cong(sK9,sK0,sK9,X0)
| ~ cong(sK9,sK0,sK9,sK1)
| ~ cong(sK9,sK1,sK9,X0) ),
inference(instantiation,[status(thm)],[c_2829]) ).
tcf(c_6318,plain,
( cong(sK9,sK0,sK9,sK0)
| ~ cong(sK9,sK1,sK9,sK0)
| ~ cong(sK9,sK0,sK9,sK1) ),
inference(instantiation,[status(thm)],[c_6316]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK3,sK0,X2,X3)
| ~ para(sK3,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_6425,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6424]) ).
tcf(c_6474,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK8,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK1,X0,X1)
| ~ perp(sK10,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_108]) ).
tcf(c_6478,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,X0,X1)
| ~ perp(sK3,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_3289,c_108]) ).
tcf(c_6483,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_3331,c_108]) ).
tcf(c_6565,plain,
( para(sK3,sK0,sK0,sK0)
| ~ perp(sK2,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6483]) ).
tcf(c_6570,plain,
( para(sK1,sK2,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6478]) ).
tcf(c_6669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK2,sK1,X2,X3)
| ~ para(sK2,sK1,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_6670,plain,
( perp(sK2,sK1,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK2,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6669]) ).
tcf(c_7155,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK7,sK3,sK4)
| ~ para(sK6,sK7,X0,X1)
| ~ para(X0,X1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_7160,plain,
( para(sK6,sK7,sK3,sK4)
| ~ para(sK0,sK0,sK3,sK4)
| ~ para(sK6,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7155]) ).
tcf(c_7680,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_3490,c_6474]) ).
tcf(c_8327,plain,
para(sK2,sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_3498,c_6476]) ).
tcf(c_9042,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK1,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_3679,c_108]) ).
tcf(c_9050,plain,
( para(sK0,sK3,sK0,sK0)
| ~ perp(sK1,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_9042]) ).
tcf(c_9642,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK0,sK2)
| ~ coll(X1,sK0,sK2)
| ~ midp(X0,sK0,X2)
| ~ para(X0,X1,X2,sK2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_9643,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ para(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_9642]) ).
tcf(c_9646,plain,
! [X0: $i,X1: $i] :
( midp(sK0,sK0,sK1)
| ~ coll(sK0,sK0,sK1)
| ~ midp(X0,sK0,X1)
| ~ para(X0,sK0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_9647,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_9646]) ).
tcf(c_10977,plain,
coll(sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_2930,c_3784]) ).
tcf(c_10991,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_10977,c_90]) ).
tcf(c_10996,plain,
( coll(sK1,sK0,sK2)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_10991]) ).
tcf(c_11349,plain,
! [X0: $i] :
( midp(sK2,X0,sK0)
| ~ midp(sK0,X0,sK2)
| ~ coll(sK2,X0,sK0) ),
inference(superposition,[status(thm)],[c_7680,c_89]) ).
tcf(c_11351,plain,
! [X0: $i] :
( midp(sK1,X0,sK2)
| ~ midp(sK2,X0,sK1)
| ~ coll(sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8327,c_89]) ).
tcf(c_11439,plain,
( midp(sK1,sK0,sK2)
| ~ midp(sK2,sK0,sK1)
| ~ coll(sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_11351]) ).
tcf(c_11441,plain,
( midp(sK2,sK0,sK0)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11349]) ).
tcf(c_12109,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_102]) ).
tcf(c_12110,plain,
( midp(sK0,sK4,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12109]) ).
tcf(c_12111,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_102]) ).
tcf(c_12112,plain,
( midp(sK0,sK3,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK3)
| ~ para(sK0,sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12111]) ).
tcf(c_12133,plain,
! [X0: $i,X1: $i] :
( midp(sK2,sK0,sK1)
| ~ midp(sK2,X0,X1)
| ~ para(X0,sK1,X1,sK0)
| ~ para(X0,sK0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_12134,plain,
( midp(sK2,sK0,sK1)
| ~ midp(sK2,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_12133]) ).
tcf(c_16235,plain,
! [X0: $i,X1: $i] :
( eqangle(sK3,sK4,sK6,sK7,X0,X1,sK6,sK7)
| ~ para(sK3,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_16237,plain,
( eqangle(sK3,sK4,sK6,sK7,sK0,sK0,sK6,sK7)
| ~ para(sK3,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_16235]) ).
tcf(c_16250,plain,
! [X0: $i,X1: $i] :
( perp(sK3,sK4,sK3,sK4)
| ~ perp(X0,X1,sK3,sK4)
| ~ para(sK3,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_16251,plain,
( perp(sK3,sK4,sK3,sK4)
| ~ perp(sK0,sK0,sK3,sK4)
| ~ para(sK3,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_16250]) ).
tcf(c_20830,plain,
! [X0: $i,X1: $i] :
( para(X1,sK0,X0,sK4)
| ~ para(X0,sK4,X1,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_20831,plain,
( para(sK0,sK0,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_20830]) ).
tcf(c_21593,plain,
! [X0: $i,X1: $i] :
( perp(sK3,sK4,sK0,sK0)
| ~ perp(X0,X1,sK0,sK0)
| ~ para(sK3,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_21594,plain,
( perp(sK3,sK4,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK3,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_21593]) ).
tcf(c_22009,plain,
cong(sK4,sK2,sK4,sK0),
inference(global_subsumption_just,[status(thm)],[c_5386,c_56,c_54,c_53,c_154,c_159,c_161,c_169,c_203,c_2188,c_2192,c_2195,c_2196,c_2198,c_2199,c_2560,c_2667,c_2668,c_2739,c_2764,c_3142,c_3230,c_3667,c_3670,c_3874,c_3875,c_3877,c_4078,c_4080,c_4303,c_4465,c_4790,c_4792,c_4965,c_5009,c_5542,c_5916,c_6086,c_6271,c_6318,c_9643,c_10996,c_11439,c_11441,c_12134]) ).
tcf(c_22016,plain,
( midp(sK4,sK2,sK0)
| ~ coll(sK4,sK2,sK0) ),
inference(superposition,[status(thm)],[c_22009,c_86]) ).
tcf(c_22020,plain,
midp(sK4,sK2,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_22016,c_3007]) ).
tcf(c_22169,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,X1,sK0)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_22020,c_104]) ).
tcf(c_22178,plain,
( para(sK0,sK4,sK0,sK0)
| ~ midp(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_22169]) ).
tcf(c_25236,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK3,sK4)
| ~ para(sK3,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_25237,plain,
( para(sK0,sK0,sK3,sK4)
| ~ para(sK3,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25236]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK3,sK4)
| ~ perp(sK3,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_25398,plain,
( perp(sK0,sK0,sK3,sK4)
| ~ perp(sK3,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25397]) ).
tcf(c_33516,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK7,X0,X1)
| ~ cong(sK6,X1,sK7,X1)
| ~ cong(sK6,X0,sK7,X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_33517,plain,
( perp(sK6,sK7,sK0,sK0)
| ~ cong(sK6,sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_33516]) ).
tcf(c_33617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK6,sK7,X2,X3)
| ~ perp(sK6,sK7,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_33620,plain,
( para(sK6,sK7,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK6,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33617]) ).
tcf(c_35493,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,sK4,X1,X2)
| ~ midp(X0,sK4,X2)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_35494,plain,
( para(sK3,sK4,sK0,sK0)
| ~ midp(sK0,sK4,sK0)
| ~ midp(sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_35493]) ).
tcf(c_64696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,sK6,sK7)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK6,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_64727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK3,sK4,sK6,sK7,X4,X5,X6,X7)
| ~ eqangle(sK3,sK4,sK6,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_64888,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK6)
| ~ perp(X0,X1,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_65046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK6)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK6,X2,X1)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_65067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK6)
| ~ eqangle(X0,X1,X2,X3,X4,sK6,X2,X3) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_65179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK6,sK7,sK3,sK4)
| ~ eqangle(X0,X1,X2,X3,sK3,sK4,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_65379,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK6,sK7,sK3,sK4,sK6,sK7)
| ~ para(X0,X1,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_65381,plain,
( eqangle(sK0,sK0,sK6,sK7,sK3,sK4,sK6,sK7)
| ~ para(sK0,sK0,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_65379]) ).
tcf(c_65565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK6,sK7,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK6,sK7,X4,X5) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_65653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK3,sK4,sK6,sK7,X2,X3,X4,X5)
| ~ eqangle(sK3,sK4,sK6,sK7,X0,X1,sK6,sK7)
| ~ eqangle(X0,X1,sK6,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_64727]) ).
tcf(c_67205,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X1,sK7,X1)
| ~ midp(X1,sK6,X0)
| ~ perp(sK6,sK7,sK7,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_67852,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X0,sK6)
| ~ eqangle(X0,sK6,X0,X1,X0,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_65067]) ).
tcf(c_67854,plain,
( para(sK0,sK6,sK0,sK6)
| ~ eqangle(sK0,sK6,sK0,sK0,sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_67852]) ).
tcf(c_68382,plain,
( eqangle(sK6,sK7,sK3,sK4,sK6,sK7,sK3,sK4)
| ~ eqangle(sK3,sK4,sK6,sK7,sK3,sK4,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_65179]) ).
tcf(c_69786,plain,
! [X0: $i,X1: $i] :
( eqangle(sK3,sK4,sK6,sK7,sK3,sK4,sK6,sK7)
| ~ eqangle(sK3,sK4,sK6,sK7,X0,X1,sK6,sK7)
| ~ eqangle(X0,X1,sK6,sK7,sK3,sK4,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_65653]) ).
tcf(c_69787,plain,
( eqangle(sK3,sK4,sK6,sK7,sK3,sK4,sK6,sK7)
| ~ eqangle(sK0,sK0,sK6,sK7,sK3,sK4,sK6,sK7)
| ~ eqangle(sK3,sK4,sK6,sK7,sK0,sK0,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_69786]) ).
tcf(c_70090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X4,sK6,X2,X3,X4,sK6)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_70091,plain,
( eqangle(sK0,sK0,sK0,sK6,sK0,sK0,sK0,sK6)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_70090]) ).
tcf(c_70343,plain,
( eqangle(sK6,sK7,sK6,sK7,sK3,sK4,sK3,sK4)
| ~ eqangle(sK6,sK7,sK3,sK4,sK6,sK7,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_65565]) ).
tcf(c_78062,plain,
( perp(sK6,sK7,sK6,sK7)
| ~ perp(sK3,sK4,sK3,sK4)
| ~ eqangle(sK6,sK7,sK6,sK7,sK3,sK4,sK3,sK4) ),
inference(instantiation,[status(thm)],[c_64696]) ).
tcf(c_84475,plain,
( perp(sK6,sK7,sK7,sK6)
| ~ perp(sK6,sK7,sK6,sK7) ),
inference(instantiation,[status(thm)],[c_64888]) ).
tcf(c_92366,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK6,X0,X1,X2,sK6,X2,X1)
| ~ eqangle(X0,X1,X0,sK6,X2,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_92367,plain,
( eqangle(sK0,sK6,sK0,sK0,sK0,sK6,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK6,sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_92366]) ).
tcf(c_95101,plain,
! [X0: $i] :
( cong(sK6,X0,sK7,X0)
| ~ midp(X0,sK6,sK6)
| ~ perp(sK6,sK7,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_67205]) ).
tcf(c_95106,plain,
( cong(sK6,sK0,sK7,sK0)
| ~ midp(sK0,sK6,sK6)
| ~ perp(sK6,sK7,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_95101]) ).
tcf(c_106420,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK6,sK6)
| ~ midp(X1,X0,X0)
| ~ para(X0,sK6,X0,sK6) ),
inference(instantiation,[status(thm)],[c_65046]) ).
tcf(c_106426,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_106420]) ).
tcf(c_106427,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_106426,c_95106,c_92367,c_84475,c_78062,c_70343,c_70091,c_69787,c_68382,c_67854,c_65381,c_35494,c_33620,c_33517,c_25398,c_25237,c_22178,c_21594,c_20831,c_16251,c_16237,c_12112,c_12110,c_9647,c_9643,c_9050,c_7160,c_6670,c_6570,c_6565,c_6425,c_6318,c_6271,c_5916,c_5689,c_5009,c_4965,c_4921,c_4792,c_4790,c_4465,c_4315,c_4293,c_4098,c_4096,c_4078,c_3877,c_3875,c_3874,c_3670,c_3667,c_3230,c_3142,c_2764,c_2739,c_2667,c_2199,c_2198,c_2196,c_2195,c_2192,c_203,c_169,c_164,c_161,c_159,c_154,c_49,c_53,c_54,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO659+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:47:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 49.89/8.86 % SZS status Started for theBenchmark.p
% 49.89/8.86 % SZS status Theorem for theBenchmark.p
% 49.89/8.86
% 49.89/8.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 49.89/8.86
% 49.89/8.86 % ------ iProver source info
% 49.89/8.86
% 49.89/8.86 % git: date: 2026-07-19 20:42:38 +0200
% 49.89/8.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 49.89/8.86 % git: non_committed_changes: false
% 49.89/8.86
% 49.89/8.86 % ------ Parsing...
% 49.89/8.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 49.89/8.86
% 49.89/8.86 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 49.89/8.86
% 49.89/8.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 49.89/8.86 % ------ Proving...
% 49.89/8.86 % ------ Problem Properties
% 49.89/8.86
% 49.89/8.86 %
% 49.89/8.86 % clauses 102
% 49.89/8.86 % conjectures 15
% 49.89/8.86 % EPR 69
% 49.89/8.86 % Horn 97
% 49.89/8.86 % unary 15
% 49.89/8.86 % binary 24
% 49.89/8.86 % lits 271
% 49.89/8.86 % lits eq 0
% 49.89/8.86 % fd_pure 0
% 49.89/8.86 % fd_pseudo 0
% 49.89/8.86 % fd_cond 0
% 49.89/8.86 % fd_pseudo_cond 0
% 49.89/8.86 % AC symbols 0
% 49.89/8.86
% 49.89/8.86 % ------ Schedule dynamic 5 is on
% 49.89/8.86
% 49.89/8.86 % ------ no equalities: superposition off
% 49.89/8.86
% 49.89/8.86 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 49.89/8.86
% 49.89/8.86
% 49.89/8.86 % ------
% 49.89/8.86 % Current options:
% 49.89/8.86 % ------
% 49.89/8.86
% 49.89/8.86
% 49.89/8.86 %
% 49.89/8.86
% 49.89/8.86 % ------ Proving...
% 49.89/8.86 %
% 49.89/8.86
% 49.89/8.86 % SZS status Theorem for theBenchmark.p
% 49.89/8.86
% 49.89/8.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.89/8.87
% 49.89/8.87
%------------------------------------------------------------------------------