%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO656+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 : n013.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 01:21:46 PM UTC 2026
% Result : Theorem 10.68s 2.75s
% Output : CNFRefutation 10.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 292 ( 45 unt; 0 def)
% Number of atoms : 718 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 784 ( 358 ~; 352 |; 38 &)
% ( 0 <=>; 36 =>; 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 : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 958 ( 0 sgn 946 !; 12 ?; 285 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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(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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X5,X3,X3,X1,X5,X3,X3,X2)
& eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
& midp(X3,X1,X0) )
=> para(X4,X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X5,X3,X3,X1,X5,X3,X3,X2)
& eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
& midp(X3,X1,X0) )
=> para(X4,X5,X0,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(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(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(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f180,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(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
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(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(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( eqangle(X5,X3,X3,X1,X5,X3,X3,X2)
& eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
& midp(X3,X1,X0)
& ~ para(X4,X5,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( eqangle(X5,X3,X3,X1,X5,X3,X3,X2)
& eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
& midp(X3,X1,X0)
& ~ para(X4,X5,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22)
& eqangle(sK24,sK23,sK23,sK20,sK24,sK23,sK23,sK22)
& midp(sK23,sK21,sK20)
& ~ para(sK24,sK25,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[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(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
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(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
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(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(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f384,plain,
eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
eqangle(sK24,sK23,sK23,sK20,sK24,sK23,sK23,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK23,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
~ para(sK24,sK25,sK20,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_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
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_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
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_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_101,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,[],[f323]) ).
tcf(c_105,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,[],[f327]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
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_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_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ para(sK24,sK25,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_163,negated_conjecture,
midp(sK23,sK21,sK20),
inference(cnf_transformation,[],[f386]) ).
tcf(c_164,negated_conjecture,
eqangle(sK24,sK23,sK23,sK20,sK24,sK23,sK23,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_165,negated_conjecture,
eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_171,plain,
( midp(sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_175,plain,
( eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_180,plain,
( perp(sK23,sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_196,plain,
( cyclic(sK23,sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_229,plain,
( cong(sK23,sK23,sK23,sK23)
| ~ cyclic(sK23,sK23,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4263,negated_conjecture,
eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4264,negated_conjecture,
eqangle(sK24,sK23,sK23,sK20,sK24,sK23,sK23,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4265,negated_conjecture,
midp(sK23,sK21,sK20),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5792,plain,
midp(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_4265,c_59]) ).
tcf(c_5798,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_4265,c_118]) ).
tcf(c_5799,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_5792,c_118]) ).
tcf(c_5895,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_5798,c_51]) ).
tcf(c_5896,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5799,c_51]) ).
tcf(c_5925,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_5798,c_5895]) ).
tcf(c_5926,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_5925,c_51]) ).
tcf(c_5928,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_5925,c_49]) ).
tcf(c_5933,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_5928,c_50]) ).
tcf(c_5937,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5933,c_51]) ).
tcf(c_5942,plain,
( coll(sK20,sK23,sK23)
| ~ coll(sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_5937]) ).
tcf(c_5969,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_5925,c_5926]) ).
tcf(c_5973,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_5969,c_49]) ).
tcf(c_6035,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5973,c_51]) ).
tcf(c_6038,plain,
coll(sK21,sK23,sK23),
inference(superposition,[status(thm)],[c_5973,c_5896]) ).
tcf(c_6041,plain,
( coll(sK23,sK23,sK23)
| ~ coll(sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6035]) ).
tcf(c_6059,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_6038,c_50]) ).
tcf(c_6377,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4265,c_93]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4265,c_112]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5792,c_112]) ).
tcf(c_6489,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK23,X0)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6377,c_53]) ).
tcf(c_6501,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK21,X0)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6407,c_53]) ).
tcf(c_6502,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,X1,sK20)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6407,c_52]) ).
tcf(c_6524,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK20,X0)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6408,c_53]) ).
tcf(c_6540,plain,
( cong(sK23,sK21,sK23,sK20)
| ~ midp(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6559,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,X0,sK21)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6501,c_52]) ).
tcf(c_6567,plain,
! [X0: $i,X1: $i] :
( para(X1,sK20,sK21,X0)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6502,c_53]) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK21,X1)
| ~ midp(sK23,sK21,sK20)
| ~ coll(X0,sK21,X1)
| ~ para(sK23,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_6611,plain,
( midp(sK23,sK21,sK23)
| ~ midp(sK23,sK21,sK20)
| ~ coll(sK23,sK21,sK23)
| ~ para(sK23,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6610]) ).
tcf(c_6788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,X1,X2)
| ~ midp(X3,sK21,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6377,c_54]) ).
tcf(c_6798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,X3,X1,X2)
| ~ midp(sK23,X0,X3)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6524,c_54]) ).
tcf(c_6803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X3,sK20,X1,X2)
| ~ midp(sK23,X0,X3)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6567,c_54]) ).
tcf(c_6852,plain,
( para(sK23,sK20,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ para(sK21,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6803]) ).
tcf(c_6854,plain,
( para(sK21,sK23,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ para(sK20,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6798]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK21,X3,X1,X2)
| ~ midp(sK23,X0,X3)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6524,c_58]) ).
tcf(c_6912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,X3,X1,X2)
| ~ midp(sK23,X0,X3)
| ~ perp(X0,sK21,X1,X2) ),
inference(superposition,[status(thm)],[c_6559,c_58]) ).
tcf(c_6963,plain,
( perp(sK20,sK23,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ perp(sK23,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6912]) ).
tcf(c_6966,plain,
( perp(sK21,sK23,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ perp(sK20,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_6908]) ).
tcf(c_6980,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_7053,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,X2,sK23,X0)
| ~ midp(X2,sK21,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6489,c_6788]) ).
tcf(c_7184,plain,
! [X0: $i] :
( para(sK23,X0,sK23,sK23)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_4265,c_7053]) ).
tcf(c_7193,plain,
( para(sK23,sK23,sK23,sK23)
| ~ midp(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_7184]) ).
tcf(c_7512,plain,
eqangle(sK23,sK24,sK23,sK20,sK24,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_4264,c_66]) ).
tcf(c_7513,plain,
eqangle(sK23,sK25,sK23,sK21,sK25,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_4263,c_66]) ).
tcf(c_7530,plain,
eqangle(sK23,sK20,sK24,sK23,sK23,sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_4264,c_67]) ).
tcf(c_7531,plain,
eqangle(sK23,sK21,sK25,sK23,sK23,sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_4263,c_67]) ).
tcf(c_7556,plain,
eqangle(sK24,sK23,sK23,sK22,sK24,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_4264,c_68]) ).
tcf(c_7557,plain,
eqangle(sK25,sK23,sK23,sK22,sK25,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_4263,c_68]) ).
tcf(c_7611,plain,
para(sK23,sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_7530,c_87]) ).
tcf(c_7697,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK21,sK21,X0)
| ~ cong(sK21,sK23,X1,sK23)
| ~ cyclic(sK21,X1,sK23,X0)
| ~ cong(sK21,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_7700,plain,
( perp(sK23,sK21,sK21,sK23)
| ~ cyclic(sK21,sK23,sK23,sK23)
| ~ cong(sK21,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_7697]) ).
tcf(c_7718,plain,
eqangle(sK23,sK24,sK24,sK23,sK23,sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_7512,c_69]) ).
tcf(c_7719,plain,
eqangle(sK23,sK25,sK25,sK23,sK23,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_7513,c_69]) ).
tcf(c_7721,plain,
eqangle(sK23,sK21,sK23,sK22,sK25,sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_7531,c_69]) ).
tcf(c_7764,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK21,X1,X2)
| ~ cong(X0,sK21,X0,sK20)
| ~ cong(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_7965,plain,
! [X0: $i,X1: $i] :
( para(sK23,X1,sK20,X0)
| ~ para(sK20,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_7966,plain,
( para(sK23,sK23,sK20,sK23)
| ~ para(sK20,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_7965]) ).
tcf(c_8200,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,sK20,sK21)
| ~ perp(sK24,sK25,X0,X1)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_8201,plain,
( para(sK24,sK25,sK20,sK21)
| ~ perp(sK23,sK23,sK20,sK21)
| ~ perp(sK24,sK25,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_8200]) ).
tcf(c_8555,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK21,X0,X1)
| ~ perp(X0,sK21,X1,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_8556,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK21,X0,X1)
| ~ perp(X0,X1,X0,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_8557,plain,
( perp(sK23,sK21,sK23,sK23)
| ~ perp(sK23,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_8556]) ).
tcf(c_9726,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_9727,plain,
( perp(sK23,sK23,sK20,sK21)
| ~ cong(sK23,sK21,sK23,sK21)
| ~ cong(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_10577,plain,
! [X0: $i,X1: $i] :
( cong(sK21,sK23,X0,sK23)
| ~ midp(sK23,sK21,X1)
| ~ perp(sK21,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_10578,plain,
( cong(sK21,sK23,sK23,sK23)
| ~ midp(sK23,sK21,sK23)
| ~ perp(sK21,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_10577]) ).
tcf(c_11215,plain,
! [X0: $i] :
( cong(sK23,sK21,sK23,X0)
| ~ midp(sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_11216,plain,
( cong(sK23,sK21,sK23,sK23)
| ~ midp(sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_11215]) ).
tcf(c_11392,plain,
( para(sK23,sK24,sK24,sK23)
| ~ para(sK23,sK20,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7718,c_122]) ).
tcf(c_11431,plain,
para(sK23,sK24,sK24,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_11392,c_7611]) ).
tcf(c_11540,plain,
( perp(sK23,sK24,sK24,sK23)
| ~ perp(sK23,sK20,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7718,c_123]) ).
tcf(c_11543,plain,
( perp(sK23,sK25,sK25,sK23)
| ~ perp(sK23,sK21,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7719,c_123]) ).
tcf(c_11549,plain,
( perp(sK23,sK21,sK23,sK22)
| ~ perp(sK25,sK23,sK25,sK23) ),
inference(superposition,[status(thm)],[c_7721,c_123]) ).
tcf(c_12140,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK20,X0,sK20)
| ~ midp(sK20,sK23,X1)
| ~ perp(sK23,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_12141,plain,
( cong(sK23,sK20,sK23,sK20)
| ~ midp(sK20,sK23,sK23)
| ~ perp(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_12140]) ).
tcf(c_12655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,X3,sK23,X2)
| ~ perp(sK20,X3,X0,X1)
| ~ perp(X0,X1,sK23,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_12657,plain,
( para(sK20,sK23,sK23,sK23)
| ~ perp(sK23,sK23,sK23,sK23)
| ~ perp(sK20,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_12655]) ).
tcf(c_13376,plain,
para(sK23,sK24,sK23,sK24),
inference(superposition,[status(thm)],[c_11431,c_52]) ).
tcf(c_13873,plain,
! [X0: $i] :
( perp(X0,sK21,X0,sK21)
| ~ perp(X0,sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_8555]) ).
tcf(c_13875,plain,
( perp(sK23,sK21,sK23,sK21)
| ~ perp(sK23,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_13915,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X0,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_13916,plain,
( perp(sK23,sK23,sK23,sK21)
| ~ cong(sK23,sK23,sK23,sK23)
| ~ cong(sK23,sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_13915]) ).
tcf(c_14223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK20,X3,X2)
| ~ coll(sK20,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_14224,plain,
( midp(sK20,sK23,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ coll(sK20,sK23,sK23)
| ~ para(sK23,sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_14223]) ).
tcf(c_15286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK25,sK23,sK23,sK21,X0,X1,X2,X3)
| ~ eqangle(sK25,sK23,sK23,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4263,c_70]) ).
tcf(c_15291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK23,sK23,sK22,X0,X1,X2,X3)
| ~ eqangle(sK24,sK23,sK23,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7556,c_70]) ).
tcf(c_15292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK25,sK23,sK23,sK22,X0,X1,X2,X3)
| ~ eqangle(sK25,sK23,sK23,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7557,c_70]) ).
tcf(c_15860,plain,
eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_7557,c_15286]) ).
tcf(c_15929,plain,
eqangle(sK25,sK23,sK25,sK23,sK23,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_15860,c_69]) ).
tcf(c_16433,plain,
( cong(sK23,sK21,sK23,sK21)
| ~ cong(sK23,sK21,sK23,sK20)
| ~ cong(sK23,sK20,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_7764]) ).
tcf(c_16879,plain,
eqangle(sK24,sK23,sK23,sK22,sK24,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_4264,c_15291]) ).
tcf(c_16904,plain,
eqangle(sK24,sK23,sK24,sK23,sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_16879,c_69]) ).
tcf(c_16931,plain,
eqangle(sK23,sK24,sK24,sK23,sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_16904,c_66]) ).
tcf(c_17022,plain,
eqangle(sK25,sK23,sK23,sK22,sK25,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_4263,c_15292]) ).
tcf(c_17232,plain,
eqangle(sK25,sK23,sK25,sK23,sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_17022,c_69]) ).
tcf(c_17243,plain,
eqangle(sK23,sK22,sK23,sK22,sK25,sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_17232,c_68]) ).
tcf(c_18087,plain,
( perp(sK25,sK23,sK25,sK23)
| ~ perp(sK23,sK21,sK23,sK21) ),
inference(superposition,[status(thm)],[c_15929,c_123]) ).
tcf(c_18618,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK25,X0,X1)
| ~ cong(sK24,X1,sK25,X1)
| ~ cong(sK24,X0,sK25,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_18619,plain,
( perp(sK24,sK25,sK23,sK23)
| ~ cong(sK24,sK23,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_18618]) ).
tcf(c_18744,plain,
( perp(sK23,sK24,sK24,sK23)
| ~ perp(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_16931,c_123]) ).
tcf(c_18900,plain,
( perp(sK23,sK22,sK23,sK22)
| ~ perp(sK25,sK23,sK25,sK23) ),
inference(superposition,[status(thm)],[c_17243,c_123]) ).
tcf(c_18972,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK21,X1,sK23,X2)
| ~ cong(X0,sK21,X0,sK23)
| ~ cong(X0,sK21,X0,X2)
| ~ cong(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_18973,plain,
( cyclic(sK21,sK23,sK23,sK23)
| ~ cong(sK23,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_18972]) ).
tcf(c_19005,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK24,sK23,sK24) ),
inference(superposition,[status(thm)],[c_13376,c_113]) ).
tcf(c_19018,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19005,c_13376]) ).
tcf(c_19021,plain,
( midp(sK23,sK24,sK24)
| ~ midp(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_19018]) ).
tcf(c_24979,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK24,X2,sK25,X2)
| ~ cong(sK24,X2,X0,X1)
| ~ cong(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_24980,plain,
( cong(sK24,sK23,sK25,sK23)
| ~ cong(sK23,sK23,sK25,sK23)
| ~ cong(sK24,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_24979]) ).
tcf(c_29281,plain,
perp(sK23,sK24,sK24,sK23),
inference(global_subsumption_just,[status(thm)],[c_11540,c_163,c_171,c_175,c_180,c_196,c_229,c_5792,c_5973,c_6041,c_6059,c_6540,c_6611,c_6963,c_6966,c_6980,c_7193,c_7700,c_7966,c_8557,c_10578,c_11216,c_12657,c_13875,c_13916,c_16433,c_18087,c_18744,c_18900,c_18973]) ).
tcf(c_29285,plain,
perp(sK24,sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_29281,c_56]) ).
tcf(c_29347,plain,
perp(sK23,sK25,sK25,sK23),
inference(global_subsumption_just,[status(thm)],[c_11543,c_163,c_171,c_175,c_180,c_196,c_229,c_5792,c_5973,c_6041,c_6059,c_6540,c_6611,c_6963,c_6966,c_6980,c_7193,c_7700,c_7966,c_8557,c_10578,c_11216,c_11549,c_11543,c_12657,c_13875,c_13916,c_16433,c_18087,c_18973]) ).
tcf(c_29357,plain,
! [X0: $i] :
( cong(sK23,X0,sK25,X0)
| ~ midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_29347,c_101]) ).
tcf(c_29375,plain,
( cong(sK23,sK23,sK25,sK23)
| ~ midp(sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_29357]) ).
tcf(c_29532,plain,
! [X0: $i] :
( cong(sK24,X0,sK23,X0)
| ~ midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_29285,c_101]) ).
tcf(c_29547,plain,
( cong(sK24,sK23,sK23,sK23)
| ~ midp(sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_29532]) ).
tcf(c_29548,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29547,c_29375,c_24980,c_19021,c_18619,c_16433,c_14224,c_13916,c_12657,c_12141,c_9727,c_8557,c_8201,c_7193,c_6980,c_6963,c_6854,c_6852,c_6540,c_6041,c_5973,c_5942,c_5792,c_229,c_196,c_180,c_175,c_171,c_162,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO656+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 12:40:40 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 10.68/2.75 % SZS status Started for theBenchmark.p
% 10.68/2.75 % SZS status Theorem for theBenchmark.p
% 10.68/2.75
% 10.68/2.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.68/2.75
% 10.68/2.75 % ------ iProver source info
% 10.68/2.75
% 10.68/2.75 % git: date: 2026-07-19 20:42:38 +0200
% 10.68/2.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.68/2.75 % git: non_committed_changes: false
% 10.68/2.75
% 10.68/2.75 % ------ Parsing...
% 10.68/2.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.68/2.75
% 10.68/2.75 % ------ 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 %
% 10.68/2.75
% 10.68/2.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.68/2.75
% 10.68/2.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.68/2.75 % ------ Proving...
% 10.68/2.75 % ------ Problem Properties
% 10.68/2.75
% 10.68/2.75 %
% 10.68/2.75 % clauses 116
% 10.68/2.75 % conjectures 4
% 10.68/2.75 % EPR 79
% 10.68/2.75 % Horn 106
% 10.68/2.75 % unary 4
% 10.68/2.75 % binary 37
% 10.68/2.75 % lits 332
% 10.68/2.75 % lits eq 4
% 10.68/2.75 % fd_pure 0
% 10.68/2.75 % fd_pseudo 0
% 10.68/2.75 % fd_cond 0
% 10.68/2.75 % fd_pseudo_cond 4
% 10.68/2.75 % AC symbols 0
% 10.68/2.75
% 10.68/2.75 % ------ Schedule dynamic 5 is on
% 10.68/2.75
% 10.68/2.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.68/2.75
% 10.68/2.75
% 10.68/2.75 % ------
% 10.68/2.75 % Current options:
% 10.68/2.75 % ------
% 10.68/2.75
% 10.68/2.75
% 10.68/2.75 %
% 10.68/2.75
% 10.68/2.75 % ------ Proving...
% 10.68/2.75 %
% 10.68/2.75
% 10.68/2.75 % SZS status Theorem for theBenchmark.p
% 10.68/2.75
% 10.68/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.68/2.76
% 10.68/2.76
%------------------------------------------------------------------------------