%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:35 PM UTC 2026
% Result : Theorem 27.69s 6.30s
% Output : CNFRefutation 27.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of formulae : 365 ( 31 unt; 0 def)
% Number of atoms : 961 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1106 ( 510 ~; 504 |; 59 &)
% ( 0 <=>; 33 =>; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 992 ( 0 sgn 972 !; 20 ?; 398 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X9)
& coll(X7,X3,X6)
& midp(X6,X1,X0)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416060) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X9)
& coll(X7,X3,X6)
& midp(X6,X1,X0)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X9)
& coll(X7,X3,X6)
& midp(X6,X1,X0)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X8,X0,X2)
& perp(X8,X7,X0,X2)
& circle(X3,X0,X7,X9)
& coll(X7,X3,X6)
& midp(X6,X1,X0)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
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] :
( ~ 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(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(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(f184,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(f185,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(f186,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(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,
( coll(sK8,sK0,sK2)
& perp(sK8,sK7,sK0,sK2)
& circle(sK3,sK0,sK7,sK9)
& coll(sK7,sK3,sK6)
& midp(sK6,sK1,sK0)
& midp(sK5,sK0,sK2)
& midp(sK4,sK2,sK1)
& circle(sK3,sK0,sK1,sK2)
& ~ eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f99]) ).
fof(f240,plain,
perp(sK8,sK7,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
midp(sK6,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
midp(sK5,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
midp(sK4,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f273,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f284,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(f286,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f287,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(f288,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(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f295,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(f296,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f307,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(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f184]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f312,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f187]) ).
fof(f313,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f188]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f190]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f191]) ).
fof(f317,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f193]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f197]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4),
inference(cnf_transformation,[],[f247]) ).
tcf(c_51,negated_conjecture,
midp(sK4,sK2,sK1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_52,negated_conjecture,
midp(sK5,sK0,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_53,negated_conjecture,
midp(sK6,sK1,sK0),
inference(cnf_transformation,[],[f243]) ).
tcf(c_56,negated_conjecture,
perp(sK8,sK7,sK0,sK2),
inference(cnf_transformation,[],[f240]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_148,plain,
( coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_151,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_155,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_159,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_163,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_197,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_137]) ).
tcf(c_2155,plain,
( coll(sK5,sK0,sK2)
| ~ midp(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2156,plain,
( coll(sK6,sK1,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2161,plain,
( midp(sK4,sK1,sK2)
| ~ midp(sK4,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2162,plain,
( midp(sK5,sK2,sK0)
| ~ midp(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2165,plain,
( cong(sK5,sK0,sK5,sK2)
| ~ midp(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2166,plain,
( cong(sK6,sK1,sK6,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2168,plain,
( perp(sK8,sK7,sK2,sK0)
| ~ perp(sK8,sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK4,sK2,sK1)
| ~ midp(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2177,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK2,X1)
| ~ midp(sK5,sK0,sK2)
| ~ midp(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2178,plain,
( para(sK0,sK0,sK2,sK0)
| ~ midp(sK5,sK0,sK2)
| ~ midp(sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2177]) ).
tcf(c_2179,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,sK1,sK0)
| ~ midp(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2186,plain,
( para(sK0,sK6,sK0,sK0)
| ~ midp(sK0,sK1,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2185]) ).
tcf(c_2207,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK7,X0,X1)
| ~ perp(sK8,sK7,sK0,sK2)
| ~ perp(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2208,plain,
( para(sK8,sK7,sK0,sK0)
| ~ perp(sK0,sK2,sK0,sK0)
| ~ perp(sK8,sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_2213,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK1,X1)
| ~ midp(sK6,sK1,sK0)
| ~ coll(X0,sK1,X1)
| ~ para(sK6,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2214,plain,
( midp(sK0,sK1,sK0)
| ~ coll(sK0,sK1,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ para(sK6,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2213]) ).
tcf(c_2233,plain,
! [X0: $i,X1: $i] :
( midp(sK6,X0,X1)
| ~ midp(sK6,sK1,sK0)
| ~ para(sK1,X1,sK0,X0)
| ~ para(sK1,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2234,plain,
( midp(sK6,sK0,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ para(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2233]) ).
tcf(c_2342,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2359,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,sK0)
| ~ coll(sK6,sK1,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2361,plain,
( coll(sK1,sK6,sK0)
| ~ coll(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2362,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2359]) ).
tcf(c_2363,plain,
! [X0: $i] :
( perp(sK1,X0,X0,sK0)
| ~ coll(sK6,sK1,sK0)
| ~ circle(sK6,sK1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_2364,plain,
( perp(sK1,sK0,sK0,sK0)
| ~ coll(sK6,sK1,sK0)
| ~ circle(sK6,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2363]) ).
tcf(c_2472,plain,
! [X0: $i,X1: $i] :
( midp(sK4,X0,X1)
| ~ midp(sK4,sK1,sK2)
| ~ para(sK1,X1,sK2,X0)
| ~ para(sK1,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2473,plain,
( midp(sK4,sK0,sK0)
| ~ midp(sK4,sK1,sK2)
| ~ para(sK1,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2472]) ).
tcf(c_2488,plain,
( cong(sK5,sK2,sK5,sK0)
| ~ midp(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ midp(sK5,sK2,sK0)
| ~ coll(X0,sK2,X1)
| ~ para(sK5,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2498,plain,
( midp(sK0,sK2,sK0)
| ~ coll(sK0,sK2,sK0)
| ~ midp(sK5,sK2,sK0)
| ~ para(sK5,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2497]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i] :
( cong(sK5,sK0,X0,X1)
| ~ cong(sK5,sK0,sK5,sK2)
| ~ cong(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2574,plain,
! [X0: $i] :
( circle(sK6,sK1,sK0,X0)
| ~ cong(sK6,sK1,sK6,sK0)
| ~ cong(sK6,sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2575,plain,
( circle(sK6,sK1,sK0,sK0)
| ~ cong(sK6,sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2574]) ).
tcf(c_2604,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK0)
| ~ perp(sK8,sK7,sK2,sK0)
| ~ para(X0,X1,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2607,plain,
( perp(sK0,sK0,sK2,sK0)
| ~ para(sK0,sK0,sK8,sK7)
| ~ perp(sK8,sK7,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2604]) ).
tcf(c_2675,plain,
( para(sK2,sK2,sK1,sK1)
| ~ midp(sK4,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_2677,plain,
( para(sK0,sK0,sK2,sK2)
| ~ midp(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2177]) ).
tcf(c_2695,plain,
( para(sK1,sK1,sK0,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2179]) ).
tcf(c_2772,plain,
coll(sK5,sK0,sK2),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_2773,plain,
coll(sK6,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_79]) ).
tcf(c_2855,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK2,X0,X1)
| ~ para(sK2,sK2,sK1,sK1)
| ~ para(sK1,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_2861,plain,
( para(sK2,sK2,sK0,sK0)
| ~ para(sK2,sK2,sK1,sK1)
| ~ para(sK1,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2855]) ).
tcf(c_2865,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_127]) ).
tcf(c_2871,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK2,sK2,sK0,sK0)
| ~ para(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_2881,plain,
midp(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_53,c_108]) ).
tcf(c_2930,plain,
coll(sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_2772,c_86]) ).
tcf(c_2931,plain,
coll(sK0,sK5,sK2),
inference(superposition,[status(thm)],[c_2772,c_85]) ).
tcf(c_2965,plain,
coll(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_2773,c_86]) ).
tcf(c_2966,plain,
coll(sK1,sK6,sK0),
inference(superposition,[status(thm)],[c_2773,c_85]) ).
tcf(c_3020,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK2,X1)
| ~ coll(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3021,plain,
( coll(sK0,sK2,sK0)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_3020]) ).
tcf(c_3022,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_3023,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3022]) ).
tcf(c_3067,plain,
coll(sK2,sK5,sK0),
inference(superposition,[status(thm)],[c_2930,c_85]) ).
tcf(c_3146,plain,
coll(sK0,sK2,sK5),
inference(superposition,[status(thm)],[c_2931,c_86]) ).
tcf(c_3151,plain,
coll(sK0,sK6,sK1),
inference(superposition,[status(thm)],[c_2965,c_85]) ).
tcf(c_3316,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK8,sK7)
| ~ para(sK8,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_3317,plain,
( para(sK0,sK0,sK8,sK7)
| ~ para(sK8,sK7,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3316]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ para(X0,X1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_3321,plain,
( para(sK0,sK2,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_3320]) ).
tcf(c_3466,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,X0) ),
inference(superposition,[status(thm)],[c_2773,c_84]) ).
tcf(c_3474,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_2930,c_84]) ).
tcf(c_3478,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK6,X0) ),
inference(superposition,[status(thm)],[c_2966,c_84]) ).
tcf(c_3485,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_3067,c_84]) ).
tcf(c_3486,plain,
! [X0: $i] :
( coll(sK5,X0,sK0)
| ~ coll(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_3146,c_84]) ).
tcf(c_3487,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_3151,c_84]) ).
tcf(c_3555,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3487]) ).
tcf(c_3556,plain,
( coll(sK5,sK0,sK0)
| ~ coll(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_3486]) ).
tcf(c_3557,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3485]) ).
tcf(c_3564,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3478]) ).
tcf(c_3566,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_3794,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X0,X1)
| ~ coll(sK5,X0,X1)
| ~ cong(sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_3795,plain,
( midp(sK5,sK0,sK0)
| ~ coll(sK5,sK0,sK0)
| ~ cong(sK5,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3794]) ).
tcf(c_3854,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK1,X0,sK0,X2)
| ~ midp(sK1,X1,sK0)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_3946,plain,
! [X0: $i] :
( cong(sK5,sK0,sK5,X0)
| ~ cong(sK5,sK0,sK5,sK2)
| ~ cong(sK5,sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_2564]) ).
tcf(c_3948,plain,
( cong(sK5,sK0,sK5,sK0)
| ~ cong(sK5,sK2,sK5,sK0)
| ~ cong(sK5,sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_3946]) ).
tcf(c_3991,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK2)
| ~ para(X0,X1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_3992,plain,
( para(sK0,sK0,sK0,sK2)
| ~ para(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_3991]) ).
tcf(c_4260,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_2773,c_3466]) ).
tcf(c_4319,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_106]) ).
tcf(c_4322,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK1,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_2881,c_106]) ).
tcf(c_4382,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,X0,sK0,X2)
| ~ midp(sK5,X1,sK0)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_4383,plain,
( para(sK5,sK0,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4382]) ).
tcf(c_4421,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_51,c_107]) ).
tcf(c_4423,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_53,c_107]) ).
tcf(c_4426,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK1)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_2881,c_107]) ).
tcf(c_4567,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,sK1,X1,X2)
| ~ midp(X0,sK1,X2)
| ~ midp(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_4568,plain,
( para(sK0,sK1,sK0,sK0)
| ~ midp(sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4567]) ).
tcf(c_4680,plain,
coll(sK0,sK6,sK0),
inference(superposition,[status(thm)],[c_4260,c_86]) ).
tcf(c_4809,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,sK1,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4421,c_129]) ).
tcf(c_4810,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK4)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4421,c_128]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i] :
( para(X1,sK0,X0,sK6)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_4423,c_128]) ).
tcf(c_5702,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK6,X1,sK6)
| ~ midp(sK6,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_5704,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5702]) ).
tcf(c_5853,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK6)
| ~ cong(X0,sK6,X1,sK6)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_5854,plain,
( perp(sK0,sK0,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_5853]) ).
tcf(c_5935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK2,X2,X3)
| ~ para(sK0,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5936,plain,
( perp(sK0,sK2,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5935]) ).
tcf(c_6050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,sK0,X2)
| ~ perp(sK1,X3,X0,X1)
| ~ perp(X0,X1,sK0,X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_6051,plain,
( para(sK1,sK0,sK0,sK0)
| ~ perp(sK1,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6050]) ).
tcf(c_6073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,sK2,X2)
| ~ perp(sK1,X3,X0,X1)
| ~ perp(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_6074,plain,
( para(sK1,sK0,sK2,sK0)
| ~ perp(sK1,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_6073]) ).
tcf(c_6084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,X3,X2,sK6)
| ~ perp(sK0,X3,X0,X1)
| ~ perp(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_6085,plain,
( para(sK0,sK0,sK0,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_6084]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK6,X0,sK0,X2)
| ~ midp(sK6,X1,sK0)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_6381,plain,
( para(sK6,sK0,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6380]) ).
tcf(c_6714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK0,X3)
| ~ midp(sK6,X2,X3)
| ~ para(X0,X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_4319,c_127]) ).
tcf(c_7219,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,X1,sK1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_4322,c_129]) ).
tcf(c_7228,plain,
( para(sK0,sK0,sK0,sK1)
| ~ midp(sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7219]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i] :
( para(X1,sK1,X0,sK6)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_4426,c_128]) ).
tcf(c_8171,plain,
( para(sK0,sK1,sK0,sK6)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_8160]) ).
tcf(c_8622,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK0,sK0)
| ~ coll(sK1,sK0,sK0)
| ~ midp(X0,sK0,X1)
| ~ para(X0,sK1,X1,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_8623,plain,
( midp(sK1,sK0,sK0)
| ~ coll(sK1,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_8622]) ).
tcf(c_8958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK4)
| ~ midp(X3,sK2,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_4810,c_127]) ).
tcf(c_8971,plain,
( para(sK0,sK0,sK0,sK4)
| ~ midp(sK0,sK2,sK0)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_8958]) ).
tcf(c_10996,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK0,X1,sK6)
| ~ coll(sK0,X1,sK6)
| ~ midp(X2,sK1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4920,c_83]) ).
tcf(c_11101,plain,
( midp(sK0,sK0,sK6)
| ~ coll(sK0,sK0,sK6)
| ~ midp(sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_10996]) ).
tcf(c_12850,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK4,X1,sK4)
| ~ midp(sK4,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_12851,plain,
( midp(sK4,sK0,sK4)
| ~ midp(sK4,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK4)
| ~ para(sK0,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12850]) ).
tcf(c_15686,plain,
! [X0: $i] :
( cong(X0,sK8,X0,sK8)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_15687,plain,
( cong(sK0,sK8,sK0,sK8)
| ~ midp(sK0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_15686]) ).
tcf(c_16302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4)
| ~ eqangle(sK5,sK6,sK6,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK8,sK6,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_16677,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK6,sK1)
| ~ midp(X0,sK0,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK1,X1,sK6) ),
inference(superposition,[status(thm)],[c_4426,c_105]) ).
tcf(c_16825,plain,
( midp(sK0,sK6,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_16677]) ).
tcf(c_20150,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK6,X1,sK6)
| ~ midp(sK6,X0,X2)
| ~ para(X0,sK6,X2,X1)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_20151,plain,
( midp(sK6,sK0,sK6)
| ~ midp(sK6,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK6)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_20150]) ).
tcf(c_21180,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4)
| ~ eqangle(sK5,sK6,sK6,sK8,X0,X1,sK6,sK4)
| ~ eqangle(X0,X1,sK6,sK4,sK8,sK6,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_16302]) ).
tcf(c_21181,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK6,sK4,sK8,sK6,sK6,sK4)
| ~ para(X0,X1,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_21182,plain,
( eqangle(sK5,sK6,sK6,sK8,sK8,sK6,sK6,sK4)
| ~ eqangle(sK0,sK0,sK6,sK4,sK8,sK6,sK6,sK4)
| ~ eqangle(sK5,sK6,sK6,sK8,sK0,sK0,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_21180]) ).
tcf(c_21183,plain,
( eqangle(sK0,sK0,sK6,sK4,sK8,sK6,sK6,sK4)
| ~ para(sK0,sK0,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_21181]) ).
tcf(c_28733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK8,sK6)
| ~ perp(X2,X3,sK8,sK6)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_28736,plain,
( para(sK0,sK0,sK8,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_28733]) ).
tcf(c_29256,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK4,sK0,X2)
| ~ midp(sK6,X1,X2)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4809,c_6714]) ).
tcf(c_29350,plain,
( para(sK0,sK4,sK0,sK0)
| ~ midp(sK0,sK2,sK0)
| ~ midp(sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_29256]) ).
tcf(c_30091,plain,
coll(sK6,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_79]) ).
tcf(c_30109,plain,
midp(sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_52,c_108]) ).
tcf(c_30110,plain,
midp(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_53,c_108]) ).
tcf(c_30143,plain,
coll(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_30091,c_86]) ).
tcf(c_30325,plain,
coll(sK0,sK6,sK1),
inference(superposition,[status(thm)],[c_30143,c_85]) ).
tcf(c_30548,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_106]) ).
tcf(c_30570,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_51,c_107]) ).
tcf(c_30572,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_53,c_107]) ).
tcf(c_30574,plain,
! [X0: $i,X1: $i] :
( para(X0,sK5,X1,sK0)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_30109,c_107]) ).
tcf(c_30658,plain,
! [X0: $i,X1: $i] :
( para(X0,sK4,sK1,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_30570,c_129]) ).
tcf(c_30684,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,sK0,X1)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_30572,c_129]) ).
tcf(c_31791,plain,
! [X0: $i,X1: $i] :
( para(X1,sK0,X0,sK5)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_30574,c_128]) ).
tcf(c_32064,plain,
! [X0: $i,X1: $i] :
( para(sK1,X1,X0,sK4)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_30658,c_128]) ).
tcf(c_32134,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ midp(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_30684,c_81]) ).
tcf(c_32253,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK1,X1,sK0)
| ~ midp(sK6,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_30548,c_83]) ).
tcf(c_33895,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK0,X1,sK5)
| ~ coll(sK0,X1,sK5)
| ~ midp(X2,sK2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_31791,c_83]) ).
tcf(c_33915,plain,
( midp(sK0,sK0,sK5)
| ~ coll(sK0,sK0,sK5)
| ~ midp(sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_33895]) ).
tcf(c_35331,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,sK4)
| ~ midp(X2,sK1,X0)
| ~ midp(X0,sK2,X1)
| ~ para(sK1,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_32064,c_105]) ).
tcf(c_35356,plain,
( midp(sK0,sK0,sK4)
| ~ midp(sK0,sK2,sK0)
| ~ midp(sK0,sK1,sK0)
| ~ para(sK1,sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35331]) ).
tcf(c_40489,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK4,sK0,X1)
| ~ midp(sK1,X0,sK0)
| ~ midp(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_3854]) ).
tcf(c_40490,plain,
( para(sK1,sK4,sK0,sK0)
| ~ midp(sK1,sK0,sK0)
| ~ midp(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_40489]) ).
tcf(c_45009,plain,
( midp(sK0,sK6,sK1)
| ~ midp(sK1,sK6,sK0)
| ~ midp(sK6,sK0,sK1) ),
inference(superposition,[status(thm)],[c_30325,c_32253]) ).
tcf(c_45023,plain,
( midp(sK0,sK6,sK1)
| ~ midp(sK1,sK6,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45009,c_30110]) ).
tcf(c_46380,plain,
midp(sK0,sK6,sK1),
inference(global_subsumption_just,[status(thm)],[c_45023,c_53,c_52,c_51,c_148,c_151,c_155,c_163,c_197,c_2675,c_2677,c_2695,c_2861,c_2871,c_8171,c_16825]) ).
tcf(c_46385,plain,
midp(sK0,sK1,sK6),
inference(superposition,[status(thm)],[c_46380,c_108]) ).
tcf(c_63712,plain,
coll(sK0,sK6,sK6),
inference(superposition,[status(thm)],[c_46385,c_32134]) ).
tcf(c_67362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK6,sK8,sK6,sK4)
| ~ eqangle(X4,X5,X6,X7,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_67365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,X1,X2,X3,sK6,sK4,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_67366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,X1,X2,X3,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_67562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK6,sK8)
| ~ eqangle(X0,X1,X2,X3,sK6,sK8,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_67745,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK5,sK6)
| ~ midp(X0,X2,sK6)
| ~ midp(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_67746,plain,
( para(sK0,sK0,sK5,sK6)
| ~ midp(sK0,sK0,sK6)
| ~ midp(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_67745]) ).
tcf(c_67777,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK6,sK4)
| ~ midp(X0,X2,sK4)
| ~ midp(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_67778,plain,
( para(sK0,sK0,sK6,sK4)
| ~ midp(sK0,sK0,sK4)
| ~ midp(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_67777]) ).
tcf(c_67779,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,sK6,sK4)
| ~ midp(X2,X1,sK6)
| ~ midp(X0,X1,sK4) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_67802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK8,sK6,X2,X3)
| ~ para(X0,X1,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_67803,plain,
( eqangle(sK0,sK0,sK0,sK0,sK8,sK6,sK0,sK0)
| ~ para(sK0,sK0,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_67802]) ).
tcf(c_67822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK8)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK8,X2,X1)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_67896,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK6,sK8,sK6,sK4,sK6,sK8)
| ~ para(X0,X1,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_67898,plain,
( eqangle(sK0,sK0,sK6,sK8,sK6,sK4,sK6,sK8)
| ~ para(sK0,sK0,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_67896]) ).
tcf(c_68020,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK8,sK6)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_68021,plain,
( perp(sK0,sK0,sK8,sK6)
| ~ cong(sK0,sK8,sK0,sK8)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_68020]) ).
tcf(c_68042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X6,X7,sK6,sK8,X4,X5,sK6,sK4)
| ~ eqangle(X6,X7,sK6,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_68044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK6,sK8,X2,X3,sK6,sK4)
| ~ eqangle(X0,X1,X2,X3,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_68045,plain,
( eqangle(sK0,sK0,sK6,sK8,sK0,sK0,sK6,sK4)
| ~ eqangle(sK0,sK0,sK0,sK0,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_68044]) ).
tcf(c_68087,plain,
! [X0: $i] :
( eqangle(X0,sK8,X0,sK4,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,sK4,X0,sK8,sK6,sK4,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_67365]) ).
tcf(c_68122,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK6,sK8,X0,X1,sK6,sK8)
| ~ para(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_68124,plain,
( eqangle(sK5,sK6,sK6,sK8,sK0,sK0,sK6,sK8)
| ~ para(sK5,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_68122]) ).
tcf(c_69202,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK8,X0,X1,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,X1,sK6,sK8,sK6,sK4,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_67365]) ).
tcf(c_69204,plain,
( eqangle(sK6,sK8,sK0,sK0,sK6,sK8,sK6,sK4)
| ~ eqangle(sK0,sK0,sK6,sK8,sK6,sK4,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_69202]) ).
tcf(c_69363,plain,
( eqangle(sK6,sK8,sK6,sK4,sK6,sK8,sK6,sK4)
| ~ eqangle(sK6,sK4,sK6,sK8,sK6,sK4,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_68087]) ).
tcf(c_69364,plain,
( eqangle(sK6,sK4,sK6,sK8,sK6,sK4,sK6,sK8)
| ~ para(sK6,sK4,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_67896]) ).
tcf(c_69393,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK6,X0,X1)
| ~ para(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_69394,plain,
( para(sK5,sK6,sK0,sK0)
| ~ para(sK0,sK0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_69393]) ).
tcf(c_69778,plain,
! [X0: $i] :
( para(sK6,sK8,sK6,sK8)
| ~ eqangle(sK6,sK8,sK6,X0,sK6,sK8,sK6,X0) ),
inference(instantiation,[status(thm)],[c_67562]) ).
tcf(c_72512,plain,
! [X0: $i] :
( para(sK6,sK4,sK6,sK4)
| ~ midp(sK4,X0,sK4)
| ~ midp(sK6,X0,sK6) ),
inference(instantiation,[status(thm)],[c_67779]) ).
tcf(c_72513,plain,
( para(sK6,sK4,sK6,sK4)
| ~ midp(sK4,sK0,sK4)
| ~ midp(sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_72512]) ).
tcf(c_73116,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,sK6,X0,X1,sK6,sK8,sK6,sK4)
| ~ eqangle(sK6,sK8,X0,X1,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_67366]) ).
tcf(c_73121,plain,
( eqangle(sK8,sK6,sK0,sK0,sK6,sK8,sK6,sK4)
| ~ eqangle(sK6,sK8,sK0,sK0,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_73116]) ).
tcf(c_73675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK6,sK6,sK8,X2,X3,sK6,sK4)
| ~ eqangle(sK5,sK6,sK6,sK8,X0,X1,sK6,sK8)
| ~ eqangle(X0,X1,sK6,sK8,X2,X3,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_68042]) ).
tcf(c_73676,plain,
( eqangle(sK5,sK6,sK6,sK8,sK0,sK0,sK6,sK4)
| ~ eqangle(sK0,sK0,sK6,sK8,sK0,sK0,sK6,sK4)
| ~ eqangle(sK5,sK6,sK6,sK8,sK0,sK0,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_73675]) ).
tcf(c_75326,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ coll(X0,sK6,sK6)
| ~ cong(X0,sK6,X0,sK6) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_75327,plain,
( midp(sK0,sK6,sK6)
| ~ coll(sK0,sK6,sK6)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_75326]) ).
tcf(c_75376,plain,
( para(sK6,sK8,sK6,sK8)
| ~ eqangle(sK6,sK8,sK6,sK4,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_69778]) ).
tcf(c_79348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK6,sK8,sK6,sK4)
| ~ eqangle(sK8,sK6,X4,X5,sK6,sK8,sK6,sK4)
| ~ eqangle(X0,X1,X2,X3,sK8,sK6,X4,X5) ),
inference(instantiation,[status(thm)],[c_67362]) ).
tcf(c_79349,plain,
( eqangle(sK0,sK0,sK0,sK0,sK6,sK8,sK6,sK4)
| ~ eqangle(sK0,sK0,sK0,sK0,sK8,sK6,sK0,sK0)
| ~ eqangle(sK8,sK6,sK0,sK0,sK6,sK8,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_79348]) ).
tcf(c_80692,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK6,sK6)
| ~ para(sK6,sK8,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_67822]) ).
tcf(c_80696,plain,
( midp(sK0,sK8,sK8)
| ~ midp(sK0,sK6,sK6)
| ~ para(sK6,sK8,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_80692]) ).
tcf(c_80697,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80696,c_79349,c_75376,c_75327,c_73676,c_73121,c_72513,c_69394,c_69364,c_69363,c_69204,c_68124,c_68045,c_68021,c_67898,c_67803,c_67778,c_67746,c_63712,c_40490,c_35356,c_33915,c_29350,c_28736,c_21183,c_21182,c_20151,c_15687,c_12851,c_11101,c_8971,c_8623,c_7228,c_6381,c_6085,c_6074,c_6051,c_5936,c_5854,c_5704,c_4680,c_4568,c_4383,c_3992,c_3948,c_3795,c_3566,c_3564,c_3557,c_3556,c_3555,c_3321,c_3317,c_3067,c_3023,c_3021,c_2871,c_2861,c_2695,c_2677,c_2675,c_2607,c_2575,c_2498,c_2488,c_2473,c_2364,c_2362,c_2361,c_2342,c_2234,c_2214,c_2208,c_2186,c_2178,c_2168,c_2166,c_2165,c_2162,c_2161,c_2156,c_2155,c_197,c_163,c_159,c_155,c_151,c_148,c_49,c_56,c_51,c_52,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 12:31:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 27.69/6.30 % SZS status Started for theBenchmark.p
% 27.69/6.30 % SZS status Theorem for theBenchmark.p
% 27.69/6.30
% 27.69/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.69/6.30
% 27.69/6.30 % ------ iProver source info
% 27.69/6.30
% 27.69/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 27.69/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.69/6.30 % git: non_committed_changes: false
% 27.69/6.30
% 27.69/6.30 % ------ Parsing...
% 27.69/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.69/6.30
% 27.69/6.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 27.69/6.30
% 27.69/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 27.69/6.30 % ------ Proving...
% 27.69/6.30 % ------ Problem Properties
% 27.69/6.30
% 27.69/6.30 %
% 27.69/6.30 % clauses 96
% 27.69/6.30 % conjectures 9
% 27.69/6.30 % EPR 63
% 27.69/6.30 % Horn 91
% 27.69/6.30 % unary 9
% 27.69/6.30 % binary 24
% 27.69/6.30 % lits 265
% 27.69/6.30 % lits eq 0
% 27.69/6.30 % fd_pure 0
% 27.69/6.30 % fd_pseudo 0
% 27.69/6.30 % fd_cond 0
% 27.69/6.30 % fd_pseudo_cond 0
% 27.69/6.30 % AC symbols 0
% 27.69/6.30
% 27.69/6.30 % ------ Schedule dynamic 5 is on
% 27.69/6.30
% 27.69/6.30 % ------ no equalities: superposition off
% 27.69/6.30
% 27.69/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.69/6.30
% 27.69/6.30
% 27.69/6.30 % ------
% 27.69/6.30 % Current options:
% 27.69/6.30 % ------
% 27.69/6.30
% 27.69/6.30
% 27.69/6.30 %
% 27.69/6.30
% 27.69/6.30 % ------ Proving...
% 27.69/6.30 %
% 27.69/6.30
% 27.69/6.30 % SZS status Theorem for theBenchmark.p
% 27.69/6.30
% 27.69/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.69/6.31
% 27.69/6.31
%------------------------------------------------------------------------------