%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO597+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 : n004.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 22.36s 4.28s
% Output : CNFRefutation 22.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 34
% Syntax : Number of formulae : 347 ( 70 unt; 0 def)
% Number of atoms : 795 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 831 ( 383 ~; 376 |; 37 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1011 ( 0 sgn 997 !; 14 ?; 416 :)
% 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(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/sandbox/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/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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416059) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,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(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,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(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f122,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(f123,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(f125,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(f126,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(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,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(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,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(f149,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(f153,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(f154,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,[],[f153]) ).
fof(f155,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(f156,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,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,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(f160,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,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,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(f194,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,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( circle(sK23,sK20,sK25,sK26)
& coll(sK25,sK23,sK24)
& midp(sK24,sK21,sK20)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,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,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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,[],[f109]) ).
fof(f280,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,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f288,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,[],[f122]) ).
fof(f289,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,[],[f123]) ).
fof(f291,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,[],[f125]) ).
fof(f292,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,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,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,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
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,[],[f149]) ).
fof(f313,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,[],[f154]) ).
fof(f314,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,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,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,[],[f160]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,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,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f385,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,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,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,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,[],[f279]) ).
tcf(c_58,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,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_66,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,[],[f288]) ).
tcf(c_67,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,[],[f289]) ).
tcf(c_69,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,[],[f291]) ).
tcf(c_70,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(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,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,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,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_91,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,[],[f313]) ).
tcf(c_92,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,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,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,[],[f316]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_102,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,[],[f324]) ).
tcf(c_104,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,[],[f326]) ).
tcf(c_112,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,[],[f334]) ).
tcf(c_113,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,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_162,negated_conjecture,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_164,negated_conjecture,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f386]) ).
tcf(c_165,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,plain,
( coll(sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_172,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_176,plain,
( eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_197,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_230,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4813,negated_conjecture,
coll(sK25,sK23,sK24),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4814,negated_conjecture,
midp(sK24,sK21,sK20),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4815,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_4816,negated_conjecture,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_6356,plain,
midp(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_4814,c_59]) ).
tcf(c_6361,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_4814,c_118]) ).
tcf(c_6374,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_6356,c_118]) ).
tcf(c_6376,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6361,c_50]) ).
tcf(c_6378,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_6374,c_50]) ).
tcf(c_6381,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_6376,c_49]) ).
tcf(c_6404,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_4813,c_51]) ).
tcf(c_6409,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_6361,c_51]) ).
tcf(c_6411,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_6374,c_51]) ).
tcf(c_6412,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6376,c_51]) ).
tcf(c_6413,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6378,c_51]) ).
tcf(c_6414,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_6381,c_51]) ).
tcf(c_6472,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_4813,c_6404]) ).
tcf(c_6475,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_6472,c_49]) ).
tcf(c_6479,plain,
! [X0: $i] :
( coll(sK24,X0,sK24)
| ~ coll(sK24,sK25,X0) ),
inference(superposition,[status(thm)],[c_6475,c_51]) ).
tcf(c_6518,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6361,c_6409]) ).
tcf(c_6519,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6518,c_51]) ).
tcf(c_6551,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6558,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_6632,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_6374,c_6411]) ).
tcf(c_6633,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6632,c_51]) ).
tcf(c_6635,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6632,c_49]) ).
tcf(c_6694,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_6376,c_6412]) ).
tcf(c_6695,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6694,c_51]) ).
tcf(c_6706,plain,
coll(sK24,sK24,sK24),
inference(superposition,[status(thm)],[c_6475,c_6479]) ).
tcf(c_6732,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6518,c_6519]) ).
tcf(c_6736,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_6732,c_49]) ).
tcf(c_6746,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6378,c_6413]) ).
tcf(c_6775,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_6635,c_6412]) ).
tcf(c_6788,plain,
coll(sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_6736,c_6411]) ).
tcf(c_6812,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6746,c_49]) ).
tcf(c_6829,plain,
coll(sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_6788,c_50]) ).
tcf(c_6846,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6381,c_6414]) ).
tcf(c_6864,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK20,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4814,c_93]) ).
tcf(c_6865,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK21,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6356,c_93]) ).
tcf(c_6877,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
tcf(c_6888,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4814,c_112]) ).
tcf(c_6889,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6356,c_112]) ).
tcf(c_6919,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK24,sK21,sK20)
| ~ midp(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6935,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK24,X0)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6864,c_53]) ).
tcf(c_6949,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK21,X0)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6888,c_53]) ).
tcf(c_6950,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,X1,sK20)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6888,c_52]) ).
tcf(c_6963,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,X1,sK21)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6865,c_52]) ).
tcf(c_6975,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,X1,sK21)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6889,c_52]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i] :
( para(X1,sK20,sK21,X0)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6950,c_53]) ).
tcf(c_7082,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4815,c_102]) ).
tcf(c_7134,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7082,c_56]) ).
tcf(c_7169,plain,
( perp(sK21,sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7134,c_55]) ).
tcf(c_7257,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7134,c_104]) ).
tcf(c_7321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK24,X3,X1,X2)
| ~ midp(X3,sK21,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6864,c_54]) ).
tcf(c_7367,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7082,c_57]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,X2,sK24,X0)
| ~ midp(X2,sK21,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6935,c_7321]) ).
tcf(c_7551,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,X0,sK21,X2)
| ~ midp(sK24,X2,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6949,c_7321]) ).
tcf(c_7588,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK21,X1)
| ~ midp(sK24,sK20,sK21)
| ~ midp(X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_7589,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_8031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_66]) ).
tcf(c_8076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
tcf(c_8121,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,sK24,X0)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6963,c_53]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,sK20,X0)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6975,c_53]) ).
tcf(c_8337,plain,
! [X0: $i,X1: $i] :
( para(X1,sK20,X0,sK21)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7025,c_52]) ).
tcf(c_8450,plain,
( para(sK20,sK21,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7169,c_7367]) ).
tcf(c_8594,plain,
( para(sK21,sK20,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8450,c_53]) ).
tcf(c_8730,plain,
( para(sK21,sK21,sK20,sK20)
| ~ midp(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6919]) ).
tcf(c_8731,plain,
( para(sK21,sK20,sK20,sK21)
| ~ midp(sK24,sK21,sK20)
| ~ midp(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6919]) ).
tcf(c_8998,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7257,c_116]) ).
tcf(c_9005,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8998,c_6812]) ).
tcf(c_9363,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK24,X1,sK21)
| ~ midp(X0,sK20,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6865,c_94]) ).
tcf(c_9364,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK21,X1,sK20)
| ~ midp(sK24,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6888,c_94]) ).
tcf(c_9366,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK20,X1,sK24)
| ~ midp(X2,sK21,X0)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6935,c_94]) ).
tcf(c_9482,plain,
( para(sK20,sK20,sK21,sK21)
| ~ para(sK21,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_10118,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ midp(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_6775,c_9364]) ).
tcf(c_10251,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK21,sK21,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10118,c_6356]) ).
tcf(c_11827,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK24,sK20)
| ~ midp(X1,sK21,X0)
| ~ para(sK24,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6864,c_113]) ).
tcf(c_13551,plain,
( para(sK24,sK24,sK21,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7588]) ).
tcf(c_19016,plain,
( midp(sK24,sK21,sK24)
| ~ midp(sK24,sK21,sK21)
| ~ midp(sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6829,c_9363]) ).
tcf(c_19862,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6551,c_72]) ).
tcf(c_20863,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6558,c_71]) ).
tcf(c_20997,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK24)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_8121,c_52]) ).
tcf(c_21157,plain,
( midp(sK24,sK24,sK24)
| ~ midp(sK24,sK21,sK24)
| ~ midp(sK20,sK24,sK24) ),
inference(superposition,[status(thm)],[c_6706,c_9366]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK20)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_8160,c_52]) ).
tcf(c_22070,plain,
( para(sK22,sK21,sK22,sK20)
| ~ midp(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_22036]) ).
tcf(c_22382,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK21)
| ~ midp(sK24,X1,X0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK21,X1,sK20) ),
inference(superposition,[status(thm)],[c_8337,c_113]) ).
tcf(c_22425,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK24,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_22382]) ).
tcf(c_23466,plain,
para(sK21,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_8594,c_164,c_6356,c_8731]) ).
tcf(c_23472,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_23466,c_53]) ).
tcf(c_23487,plain,
! [X0: $i] :
( midp(X0,sK21,sK20)
| ~ midp(X0,sK20,sK21)
| ~ para(sK20,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_23472,c_113]) ).
tcf(c_23488,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_23472,c_94]) ).
tcf(c_23755,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_19862,c_71]) ).
tcf(c_23819,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_20863,c_72]) ).
tcf(c_25106,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(sK24,sK20,sK24)
| ~ midp(sK20,sK21,sK21)
| ~ midp(X0,sK24,sK20) ),
inference(superposition,[status(thm)],[c_22036,c_11827]) ).
tcf(c_25356,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_23755,c_116]) ).
tcf(c_25686,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_19862,c_6877]) ).
tcf(c_25689,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_23819,c_6877]) ).
tcf(c_26910,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X1,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_25686,c_52]) ).
tcf(c_27075,plain,
! [X0: $i,X1: $i] :
( para(X1,X0,X0,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_26910,c_53]) ).
tcf(c_31969,plain,
! [X0: $i] :
( para(sK24,X0,sK24,sK24)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_4814,c_7550]) ).
tcf(c_31999,plain,
! [X0: $i] :
( para(sK24,sK24,sK24,X0)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_31969,c_53]) ).
tcf(c_32073,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK24,X0)
| ~ midp(X1,sK24,sK24)
| ~ midp(X0,sK21,sK20)
| ~ para(sK24,X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_31999,c_113]) ).
tcf(c_32575,plain,
! [X0: $i] :
( para(sK24,sK24,sK21,X0)
| ~ midp(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_4814,c_7551]) ).
tcf(c_32615,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,sK24,X1,X2)
| ~ midp(sK24,X0,sK20)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_32575,c_54]) ).
tcf(c_32787,plain,
! [X0: $i] :
( para(sK24,sK24,sK21,X0)
| ~ midp(sK24,sK21,sK20)
| ~ midp(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_25689,c_32615]) ).
tcf(c_32798,plain,
! [X0: $i] :
( para(sK24,sK24,sK24,X0)
| ~ midp(sK24,sK21,sK20)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8121,c_32615]) ).
tcf(c_32811,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK24)
| ~ midp(sK24,sK21,sK20)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_20997,c_32615]) ).
tcf(c_32813,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK20)
| ~ midp(sK24,sK21,sK20)
| ~ midp(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_22036,c_32615]) ).
tcf(c_32816,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK21)
| ~ midp(sK24,sK21,sK20)
| ~ midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_26910,c_32615]) ).
tcf(c_32836,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK21)
| ~ midp(sK21,X0,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32816,c_4814]) ).
tcf(c_32845,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK20)
| ~ midp(sK24,X0,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32813,c_4814]) ).
tcf(c_32851,plain,
! [X0: $i] :
( para(sK24,sK24,X0,sK24)
| ~ midp(X0,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32811,c_4814]) ).
tcf(c_32884,plain,
! [X0: $i] :
( para(sK24,sK24,sK24,X0)
| ~ midp(X0,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32798,c_4814]) ).
tcf(c_32917,plain,
! [X0: $i] :
( para(sK24,sK24,sK21,X0)
| ~ midp(sK21,sK21,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32787,c_4814]) ).
tcf(c_33037,plain,
! [X0: $i,X1: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK21,X1,sK21)
| ~ coll(sK24,X0,sK21)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_32836,c_94]) ).
tcf(c_33039,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,sK24,X1,X2)
| ~ midp(sK21,X0,sK21)
| ~ para(X0,sK21,X1,X2) ),
inference(superposition,[status(thm)],[c_32836,c_54]) ).
tcf(c_33595,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK24,sK20)
| ~ midp(sK24,X0,sK21)
| ~ midp(X1,sK24,X0)
| ~ para(sK24,sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_32845,c_113]) ).
tcf(c_33599,plain,
! [X0: $i] :
( para(X0,sK20,sK24,sK24)
| ~ midp(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_32845,c_53]) ).
tcf(c_33635,plain,
! [X0: $i,X1: $i] :
( midp(sK24,X0,sK24)
| ~ midp(X1,sK20,sK21)
| ~ coll(sK24,X0,sK24)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_32851,c_94]) ).
tcf(c_33723,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK24,X0)
| ~ midp(X1,sK24,sK24)
| ~ midp(X0,sK20,sK21)
| ~ para(sK24,X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_32884,c_113]) ).
tcf(c_33724,plain,
! [X0: $i,X1: $i] :
( midp(sK24,X0,X1)
| ~ midp(sK24,X0,sK24)
| ~ midp(X1,sK20,sK21)
| ~ coll(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_32884,c_94]) ).
tcf(c_33727,plain,
! [X0: $i] :
( para(sK24,X0,sK24,sK24)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_32884,c_53]) ).
tcf(c_34145,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK24,sK24,X1,X2)
| ~ midp(sK21,sK21,X0)
| ~ perp(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_32917,c_58]) ).
tcf(c_35493,plain,
! [X0: $i] :
( para(sK24,sK24,sK21,sK21)
| ~ midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_27075,c_33039]) ).
tcf(c_37606,plain,
para(sK24,sK24,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_35493,c_6356,c_13551]) ).
tcf(c_37612,plain,
para(sK21,sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_37606,c_53]) ).
tcf(c_37650,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ para(sK24,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_37612,c_54]) ).
tcf(c_39673,plain,
para(sK21,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_37606,c_37650]) ).
tcf(c_40631,plain,
! [X0: $i] :
( midp(sK24,sK20,sK24)
| ~ midp(sK24,sK20,X0)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6736,c_33635]) ).
tcf(c_41536,plain,
( midp(sK24,sK24,sK21)
| ~ midp(sK24,sK24,sK24)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6846,c_33724]) ).
tcf(c_43956,plain,
! [X0: $i] :
( midp(X0,sK24,sK20)
| ~ midp(sK24,sK24,sK21)
| ~ midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_33599,c_33595]) ).
tcf(c_44713,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK24,X0)
| ~ midp(X1,sK24,sK24)
| ~ midp(X0,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_33723,c_164,c_8730,c_9482,c_23487,c_32073,c_33727]) ).
tcf(c_46573,plain,
( midp(sK24,sK20,sK24)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6356,c_40631]) ).
tcf(c_48951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_8076,c_87]) ).
tcf(c_49091,plain,
! [X0: $i,X1: $i] : para(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_39673,c_48951]) ).
tcf(c_49113,plain,
para(sK22,sK22,sK22,sK22),
inference(instantiation,[status(thm)],[c_49091]) ).
tcf(c_49115,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X1)
| ~ midp(X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_49091,c_113]) ).
tcf(c_49121,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_49091,c_115]) ).
tcf(c_49139,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X2)
| ~ midp(X0,X1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49115,c_49091]) ).
tcf(c_49142,plain,
! [X0: $i,X1: $i] :
( midp(X1,X0,X0)
| ~ midp(X0,X1,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25356,c_49121]) ).
tcf(c_49155,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_49121,c_50]) ).
tcf(c_49370,plain,
! [X0: $i,X1: $i] : coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_49155,c_49]) ).
tcf(c_49513,plain,
! [X0: $i] : coll(sK21,X0,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_6695,c_49370]) ).
tcf(c_49514,plain,
! [X0: $i] : coll(sK24,X0,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_6633,c_49370]) ).
tcf(c_49533,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_23488,c_49513]) ).
tcf(c_49537,plain,
! [X0: $i,X1: $i] :
( midp(sK24,X0,sK21)
| ~ midp(sK21,X1,sK21)
| ~ midp(sK24,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_33037,c_49514]) ).
tcf(c_49839,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_49370,c_51]) ).
tcf(c_49845,plain,
! [X0: $i,X1: $i,X2: $i] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_49839,c_49370]) ).
tcf(c_49890,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9005,c_49845]) ).
tcf(c_49931,plain,
perp(sK21,sK22,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_7134,c_49845]) ).
tcf(c_49936,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_49845]) ).
tcf(c_50254,plain,
( perp(sK24,sK24,sK20,sK21)
| ~ midp(sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_49931,c_34145]) ).
tcf(c_51396,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ midp(sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_50254,c_104]) ).
tcf(c_51411,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK21,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51396,c_6356]) ).
tcf(c_51419,plain,
cong(sK24,sK20,sK24,sK21),
inference(global_subsumption_just,[status(thm)],[c_51411,c_6356,c_7589]) ).
tcf(c_51425,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK20,X0,X1)
| ~ cong(sK24,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_51419,c_73]) ).
tcf(c_51426,plain,
cong(sK24,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_51419,c_72]) ).
tcf(c_51537,plain,
cong(sK24,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_51426,c_71]) ).
tcf(c_51954,plain,
cong(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_51426,c_51425]) ).
tcf(c_51955,plain,
cong(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_51537,c_51425]) ).
tcf(c_52102,plain,
cong(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_51955,c_72]) ).
tcf(c_52109,plain,
cong(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_52102,c_71]) ).
tcf(c_52140,plain,
( midp(sK24,sK21,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4814,c_49537]) ).
tcf(c_53015,plain,
midp(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_51954,c_49936]) ).
tcf(c_53016,plain,
midp(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_52109,c_49936]) ).
tcf(c_53057,plain,
! [X0: $i] : midp(sK24,X0,X0),
inference(superposition,[status(thm)],[c_53015,c_49139]) ).
tcf(c_53075,plain,
midp(sK24,sK22,sK22),
inference(instantiation,[status(thm)],[c_53057]) ).
tcf(c_53081,plain,
! [X0: $i] : midp(sK20,X0,X0),
inference(superposition,[status(thm)],[c_53016,c_49139]) ).
tcf(c_53403,plain,
! [X0: $i] : midp(X0,sK24,sK24),
inference(superposition,[status(thm)],[c_53057,c_49142]) ).
tcf(c_53446,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK24,X0)
| ~ midp(X0,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_44713,c_53403]) ).
tcf(c_53505,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_53081,c_49533]) ).
tcf(c_53632,plain,
! [X0: $i,X1: $i] : midp(X1,sK24,X0),
inference(global_subsumption_just,[status(thm)],[c_53446,c_169,c_172,c_176,c_197,c_230,c_10251,c_19016,c_21157,c_22070,c_22425,c_25106,c_41536,c_43956,c_46573,c_49113,c_49890,c_52140,c_53016,c_53075,c_53403,c_53446,c_53505]) ).
tcf(c_53633,plain,
! [X0: $i,X1: $i] : midp(X0,sK24,X1),
inference(renaming,[status(thm)],[c_53632]) ).
tcf(c_53686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X0,X3,X1)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_53633,c_93]) ).
tcf(c_53710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_53686,c_53633]) ).
tcf(c_53733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : eqangle(X0,X1,X2,X3,X0,X1,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[c_8076,c_53710]) ).
tcf(c_53734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[c_8031,c_53710]) ).
tcf(c_55473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(superposition,[status(thm)],[c_53733,c_69]) ).
tcf(c_55480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(superposition,[status(thm)],[c_53734,c_69]) ).
tcf(c_55519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( eqangle(X6,X7,X8,X9,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_55480,c_70]) ).
tcf(c_55524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[status(thm)],[c_55519,c_55473]) ).
tcf(c_55525,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4816,c_55524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO597+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 : n004.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 12:30:52 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
% 0.10/0.43 % Proving...
% 22.36/4.28 % SZS status Started for theBenchmark.p
% 22.36/4.28 % SZS status Theorem for theBenchmark.p
% 22.36/4.28
% 22.36/4.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.36/4.28
% 22.36/4.28 % ------ iProver source info
% 22.36/4.28
% 22.36/4.28 % git: date: 2026-07-19 20:42:38 +0200
% 22.36/4.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.36/4.28 % git: non_committed_changes: false
% 22.36/4.28
% 22.36/4.28 % ------ Parsing...
% 22.36/4.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.36/4.28
% 22.36/4.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 22.36/4.28
% 22.36/4.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.36/4.28
% 22.36/4.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.36/4.28 % ------ Proving...
% 22.36/4.28 % ------ Problem Properties
% 22.36/4.28
% 22.36/4.28 %
% 22.36/4.28 % clauses 117
% 22.36/4.28 % conjectures 5
% 22.36/4.28 % EPR 80
% 22.36/4.28 % Horn 107
% 22.36/4.28 % unary 5
% 22.36/4.28 % binary 37
% 22.36/4.28 % lits 333
% 22.36/4.28 % lits eq 4
% 22.36/4.28 % fd_pure 0
% 22.36/4.28 % fd_pseudo 0
% 22.36/4.28 % fd_cond 0
% 22.36/4.28 % fd_pseudo_cond 4
% 22.36/4.28 % AC symbols 0
% 22.36/4.28
% 22.36/4.28 % ------ Schedule dynamic 5 is on
% 22.36/4.28
% 22.36/4.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.36/4.28
% 22.36/4.28
% 22.36/4.28 % ------
% 22.36/4.28 % Current options:
% 22.36/4.28 % ------
% 22.36/4.28
% 22.36/4.28
% 22.36/4.28 %
% 22.36/4.28
% 22.36/4.28 % ------ Proving...
% 22.36/4.28 %
% 22.36/4.28
% 22.36/4.28 % SZS status Theorem for theBenchmark.p
% 22.36/4.28
% 22.36/4.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.36/4.28
% 22.36/4.28
%------------------------------------------------------------------------------