TSTP Solution File: GEO605+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:03 EDT 2023
% Result : Theorem 20.35s 3.69s
% Output : CNFRefutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 364 ( 96 unt; 0 def)
% Number of atoms : 906 ( 0 equ)
% Maximal formula atoms : 30 ( 2 avg)
% Number of connectives : 904 ( 362 ~; 353 |; 141 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 915 ( 0 sgn; 627 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD25) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f95,conjecture,
! [X6,X1,X2,X18,X19,X20,X0,X7,X21,X22,X23] :
( ( perp(X18,X2,X23,X7)
& midp(X23,X18,X2)
& perp(X1,X2,X22,X7)
& midp(X22,X1,X2)
& perp(X1,X18,X21,X7)
& midp(X21,X1,X18)
& midp(X0,X20,X19)
& coll(X20,X1,X18)
& coll(X19,X2,X18)
& perp(X2,X18,X2,X20)
& perp(X1,X18,X1,X19)
& eqangle(X18,X2,X2,X6,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X6)
& eqangle(X18,X6,X6,X1,X18,X6,X6,X2) )
=> perp(X0,X1,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
fof(f96,negated_conjecture,
~ ! [X6,X1,X2,X18,X19,X20,X0,X7,X21,X22,X23] :
( ( perp(X18,X2,X23,X7)
& midp(X23,X18,X2)
& perp(X1,X2,X22,X7)
& midp(X22,X1,X2)
& perp(X1,X18,X21,X7)
& midp(X21,X1,X18)
& midp(X0,X20,X19)
& coll(X20,X1,X18)
& coll(X19,X2,X18)
& perp(X2,X18,X2,X20)
& perp(X1,X18,X1,X19)
& eqangle(X18,X2,X2,X6,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X6)
& eqangle(X18,X6,X6,X1,X18,X6,X6,X2) )
=> perp(X0,X1,X1,X7) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f100,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(rectify,[],[f18]) ).
fof(f101,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(rectify,[],[f19]) ).
fof(f102,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(rectify,[],[f20]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,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(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,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(rectify,[],[f74]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> perp(X6,X1,X1,X7) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ perp(sK26,sK21,sK21,sK27)
& perp(sK23,sK22,sK30,sK27)
& midp(sK30,sK23,sK22)
& perp(sK21,sK22,sK29,sK27)
& midp(sK29,sK21,sK22)
& perp(sK21,sK23,sK28,sK27)
& midp(sK28,sK21,sK23)
& midp(sK26,sK25,sK24)
& coll(sK25,sK21,sK23)
& coll(sK24,sK22,sK23)
& perp(sK22,sK23,sK22,sK25)
& perp(sK21,sK23,sK21,sK24)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK26,sK21,sK21,sK27)
& perp(sK23,sK22,sK30,sK27)
& midp(sK30,sK23,sK22)
& perp(sK21,sK22,sK29,sK27)
& midp(sK29,sK21,sK22)
& perp(sK21,sK23,sK28,sK27)
& midp(sK28,sK21,sK23)
& midp(sK26,sK25,sK24)
& coll(sK25,sK21,sK23)
& coll(sK24,sK22,sK23)
& perp(sK22,sK23,sK22,sK25)
& perp(sK21,sK23,sK21,sK24)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f474,plain,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK21,sK23,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK22,sK23,sK22,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
midp(sK28,sK21,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
midp(sK29,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
perp(sK21,sK22,sK29,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
midp(sK30,sK23,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f487,plain,
~ perp(sK26,sK21,sK21,sK27),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_162,negated_conjecture,
~ perp(sK26,sK21,sK21,sK27),
inference(cnf_transformation,[],[f487]) ).
cnf(c_164,negated_conjecture,
midp(sK30,sK23,sK22),
inference(cnf_transformation,[],[f485]) ).
cnf(c_165,negated_conjecture,
perp(sK21,sK22,sK29,sK27),
inference(cnf_transformation,[],[f484]) ).
cnf(c_166,negated_conjecture,
midp(sK29,sK21,sK22),
inference(cnf_transformation,[],[f483]) ).
cnf(c_168,negated_conjecture,
midp(sK28,sK21,sK23),
inference(cnf_transformation,[],[f481]) ).
cnf(c_169,negated_conjecture,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f480]) ).
cnf(c_170,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f479]) ).
cnf(c_171,negated_conjecture,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f478]) ).
cnf(c_172,negated_conjecture,
perp(sK22,sK23,sK22,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_173,negated_conjecture,
perp(sK21,sK23,sK21,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_175,negated_conjecture,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_182,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| midp(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_186,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_240,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_5879,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_170,c_49]) ).
cnf(c_5880,plain,
coll(sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_171,c_49]) ).
cnf(c_5887,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_170,c_50]) ).
cnf(c_5888,plain,
coll(sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_171,c_50]) ).
cnf(c_5889,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_5879,c_50]) ).
cnf(c_5909,plain,
midp(sK30,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_59]) ).
cnf(c_5910,plain,
midp(sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_5911,plain,
midp(sK28,sK23,sK21),
inference(superposition,[status(thm)],[c_168,c_59]) ).
cnf(c_5912,plain,
midp(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
cnf(c_5918,plain,
coll(sK29,sK21,sK22),
inference(superposition,[status(thm)],[c_166,c_118]) ).
cnf(c_5919,plain,
coll(sK28,sK21,sK23),
inference(superposition,[status(thm)],[c_168,c_118]) ).
cnf(c_5931,plain,
coll(sK30,sK22,sK23),
inference(superposition,[status(thm)],[c_5909,c_118]) ).
cnf(c_5933,plain,
coll(sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_5910,c_118]) ).
cnf(c_5941,plain,
coll(sK21,sK29,sK22),
inference(superposition,[status(thm)],[c_5918,c_50]) ).
cnf(c_5943,plain,
coll(sK21,sK28,sK23),
inference(superposition,[status(thm)],[c_5919,c_50]) ).
cnf(c_5949,plain,
coll(sK22,sK29,sK21),
inference(superposition,[status(thm)],[c_5933,c_50]) ).
cnf(c_5979,plain,
perp(sK22,sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_172,c_56]) ).
cnf(c_5980,plain,
perp(sK21,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_173,c_56]) ).
cnf(c_5984,plain,
coll(sK21,sK22,sK29),
inference(superposition,[status(thm)],[c_5941,c_49]) ).
cnf(c_5986,plain,
coll(sK21,sK23,sK28),
inference(superposition,[status(thm)],[c_5943,c_49]) ).
cnf(c_6069,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK23,X0,sK25) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
cnf(c_6070,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK23,X0,sK24) ),
inference(superposition,[status(thm)],[c_171,c_51]) ).
cnf(c_6071,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_5879,c_51]) ).
cnf(c_6072,plain,
( ~ coll(sK24,sK23,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_5880,c_51]) ).
cnf(c_6073,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK23,X0,sK21) ),
inference(superposition,[status(thm)],[c_5887,c_51]) ).
cnf(c_6074,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_5888,c_51]) ).
cnf(c_6075,plain,
( ~ coll(sK23,sK25,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_5889,c_51]) ).
cnf(c_6083,plain,
( ~ coll(sK28,sK21,X0)
| coll(sK23,X0,sK28) ),
inference(superposition,[status(thm)],[c_5919,c_51]) ).
cnf(c_6085,plain,
( ~ coll(sK30,sK22,X0)
| coll(sK23,X0,sK30) ),
inference(superposition,[status(thm)],[c_5931,c_51]) ).
cnf(c_6086,plain,
( ~ coll(sK29,sK22,X0)
| coll(sK21,X0,sK29) ),
inference(superposition,[status(thm)],[c_5933,c_51]) ).
cnf(c_6094,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_5949,c_51]) ).
cnf(c_6098,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK29,X0,sK21) ),
inference(superposition,[status(thm)],[c_5984,c_51]) ).
cnf(c_6163,plain,
( ~ coll(sK22,sK29,sK21)
| coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6094]) ).
cnf(c_6189,plain,
( ~ coll(sK21,sK23,X0)
| coll(sK28,X0,sK21) ),
inference(superposition,[status(thm)],[c_5986,c_51]) ).
cnf(c_6194,plain,
( ~ coll(sK21,sK23,sK21)
| coll(sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6189]) ).
cnf(c_6216,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_170,c_6069]) ).
cnf(c_6217,plain,
( ~ coll(sK23,sK23,X0)
| coll(sK25,X0,sK23) ),
inference(superposition,[status(thm)],[c_6216,c_51]) ).
cnf(c_6226,plain,
coll(sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_171,c_6070]) ).
cnf(c_6227,plain,
( ~ coll(sK23,sK23,X0)
| coll(sK24,X0,sK23) ),
inference(superposition,[status(thm)],[c_6226,c_51]) ).
cnf(c_6303,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_5879,c_6071]) ).
cnf(c_6307,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6303,c_49]) ).
cnf(c_6331,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_5887,c_6073]) ).
cnf(c_6334,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_6331,c_49]) ).
cnf(c_6342,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_5888,c_6074]) ).
cnf(c_6347,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_5889,c_6075]) ).
cnf(c_6350,plain,
( ~ midp(sK29,sK21,sK22)
| cong(sK29,sK21,sK29,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_6351,plain,
( ~ midp(sK28,sK21,sK23)
| cong(sK28,sK21,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_6374,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6307,c_51]) ).
cnf(c_6380,plain,
( ~ coll(sK21,sK25,sK21)
| coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6374]) ).
cnf(c_6393,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_6334,c_51]) ).
cnf(c_6434,plain,
coll(sK23,sK23,sK28),
inference(superposition,[status(thm)],[c_5919,c_6083]) ).
cnf(c_6474,plain,
( ~ midp(X0,sK21,X1)
| para(sK29,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_166,c_93]) ).
cnf(c_6475,plain,
( ~ midp(X0,sK21,X1)
| para(sK28,X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_168,c_93]) ).
cnf(c_6507,plain,
( ~ midp(sK29,X0,X1)
| ~ midp(sK29,sK21,sK22)
| para(sK21,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_6508,plain,
( ~ midp(sK29,sK21,sK21)
| ~ midp(sK29,sK21,sK22)
| para(sK21,sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_6507]) ).
cnf(c_6527,plain,
( ~ midp(sK30,X0,X1)
| para(sK23,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_164,c_112]) ).
cnf(c_6528,plain,
( ~ midp(sK29,X0,X1)
| para(sK21,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_166,c_112]) ).
cnf(c_6533,plain,
( ~ midp(sK28,X0,X1)
| para(sK23,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_5911,c_112]) ).
cnf(c_6552,plain,
( ~ midp(sK28,sK21,sK21)
| para(sK23,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6533]) ).
cnf(c_6578,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6347,c_49]) ).
cnf(c_6626,plain,
( ~ midp(X0,sK21,X1)
| para(sK29,X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_6474,c_52]) ).
cnf(c_6672,plain,
( ~ midp(sK30,X0,X1)
| para(sK23,X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_6527,c_52]) ).
cnf(c_6853,plain,
( ~ para(sK23,X0,sK22,X1)
| ~ para(sK23,X1,sK22,X0)
| ~ midp(sK30,sK23,sK22)
| midp(sK30,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_6854,plain,
( ~ para(sK23,sK21,sK22,sK21)
| ~ midp(sK30,sK23,sK22)
| midp(sK30,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6853]) ).
cnf(c_7036,plain,
( ~ para(sK23,X0,X1,X2)
| ~ midp(X3,sK21,X0)
| para(sK28,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_6475,c_54]) ).
cnf(c_7092,plain,
( ~ perp(sK22,sK25,X0,X1)
| para(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_172,c_57]) ).
cnf(c_7103,plain,
( ~ perp(sK21,sK23,X0,X1)
| para(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_5980,c_57]) ).
cnf(c_7226,plain,
( ~ perp(sK22,X0,X1,X2)
| ~ midp(sK29,X3,X0)
| perp(sK21,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_6528,c_58]) ).
cnf(c_7385,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_5979,c_7092]) ).
cnf(c_7659,plain,
eqangle(sK21,sK23,sK21,sK22,sK23,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_175,c_66]) ).
cnf(c_7686,plain,
eqangle(sK21,sK22,sK23,sK21,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_175,c_67]) ).
cnf(c_7717,plain,
eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_175,c_68]) ).
cnf(c_7795,plain,
eqangle(sK21,sK22,sK21,sK23,sK21,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_7659,c_67]) ).
cnf(c_7814,plain,
eqangle(sK21,sK20,sK23,sK21,sK21,sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_7686,c_68]) ).
cnf(c_7838,plain,
coll(sK23,sK23,sK30),
inference(superposition,[status(thm)],[c_5931,c_6085]) ).
cnf(c_7871,plain,
( ~ midp(sK29,sK22,sK21)
| cong(sK29,sK22,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_8024,plain,
( ~ midp(sK28,sK23,sK21)
| cong(sK28,sK23,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_8057,plain,
coll(sK21,sK21,sK29),
inference(superposition,[status(thm)],[c_5933,c_6086]) ).
cnf(c_8222,plain,
( ~ para(sK24,X0,sK25,X1)
| ~ para(sK24,X1,sK25,X0)
| ~ midp(sK26,sK24,sK25)
| midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_8223,plain,
( ~ para(sK24,sK21,sK25,sK21)
| ~ midp(sK26,sK24,sK25)
| midp(sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8222]) ).
cnf(c_8249,plain,
coll(sK25,sK24,sK23),
inference(superposition,[status(thm)],[c_6226,c_6217]) ).
cnf(c_8250,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_6342,c_6217]) ).
cnf(c_8254,plain,
coll(sK25,sK23,sK24),
inference(superposition,[status(thm)],[c_8249,c_49]) ).
cnf(c_8262,plain,
coll(sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_6331,c_6227]) ).
cnf(c_8265,plain,
coll(sK24,sK28,sK23),
inference(superposition,[status(thm)],[c_6434,c_6227]) ).
cnf(c_8457,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_8470,plain,
( ~ para(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| cyclic(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8457]) ).
cnf(c_8481,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ midp(sK29,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6474,c_94]) ).
cnf(c_8587,plain,
( ~ cong(sK29,sK22,X0,X1)
| ~ cong(sK29,sK21,sK29,sK22)
| cong(sK29,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_8660,plain,
( ~ cong(sK28,sK23,X0,X1)
| ~ cong(sK28,sK21,sK28,sK23)
| cong(sK28,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_8973,plain,
coll(sK25,sK30,sK23),
inference(superposition,[status(thm)],[c_7838,c_6217]) ).
cnf(c_9204,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK29,X0,sK21) ),
inference(superposition,[status(thm)],[c_8057,c_51]) ).
cnf(c_9209,plain,
( ~ coll(sK21,sK21,sK21)
| coll(sK29,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_9204]) ).
cnf(c_9837,plain,
( ~ para(sK23,sK21,sK21,sK20)
| para(sK21,sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7659,c_122]) ).
cnf(c_9843,plain,
( ~ para(sK23,sK21,sK21,sK22)
| para(sK23,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7717,c_122]) ).
cnf(c_9851,plain,
( ~ para(sK21,sK20,sK23,sK21)
| para(sK21,sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_7795,c_122]) ).
cnf(c_9856,plain,
( ~ para(sK21,sK22,sK23,sK21)
| para(sK21,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_7814,c_122]) ).
cnf(c_10246,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_8250,c_49]) ).
cnf(c_10567,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_8254,c_51]) ).
cnf(c_10573,plain,
( ~ coll(sK25,sK23,sK21)
| coll(sK24,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_10567]) ).
cnf(c_10576,plain,
coll(sK24,sK23,sK21),
inference(superposition,[status(thm)],[c_8262,c_49]) ).
cnf(c_10582,plain,
coll(sK24,sK23,sK28),
inference(superposition,[status(thm)],[c_8265,c_49]) ).
cnf(c_10813,plain,
( ~ coll(X0,X1,sK22)
| ~ midp(X0,sK21,X2)
| ~ midp(sK29,X1,X2)
| midp(X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_6626,c_94]) ).
cnf(c_10840,plain,
( ~ coll(sK21,sK21,sK22)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK29,sK21,sK21)
| midp(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_10813]) ).
cnf(c_11328,plain,
( ~ midp(sK30,X0,X1)
| para(X1,sK22,sK23,X0) ),
inference(superposition,[status(thm)],[c_6672,c_53]) ).
cnf(c_11353,plain,
( ~ midp(sK30,sK21,sK21)
| para(sK21,sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_11328]) ).
cnf(c_11526,plain,
( ~ midp(sK29,sK21,sK22)
| para(sK21,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6507]) ).
cnf(c_12342,plain,
coll(sK25,sK23,sK30),
inference(superposition,[status(thm)],[c_8973,c_49]) ).
cnf(c_13996,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_10246,c_50]) ).
cnf(c_14767,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_10576,c_6072]) ).
cnf(c_15213,plain,
( ~ para(sK22,sK22,X0,X1)
| ~ para(sK21,sK21,sK22,sK22)
| para(sK21,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_15218,plain,
( ~ para(sK21,sK21,sK22,sK22)
| para(sK22,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_15227,plain,
( ~ para(sK21,sK21,sK22,sK22)
| ~ para(sK22,sK22,sK21,sK21)
| para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_15213]) ).
cnf(c_15630,plain,
coll(sK22,sK28,sK24),
inference(superposition,[status(thm)],[c_10582,c_6072]) ).
cnf(c_16412,plain,
coll(sK23,sK25,sK30),
inference(superposition,[status(thm)],[c_12342,c_50]) ).
cnf(c_16624,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_13996,c_6075]) ).
cnf(c_17111,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_14767,c_49]) ).
cnf(c_17384,plain,
coll(sK22,sK24,sK28),
inference(superposition,[status(thm)],[c_15630,c_49]) ).
cnf(c_17403,plain,
coll(sK21,sK30,sK23),
inference(superposition,[status(thm)],[c_16412,c_6075]) ).
cnf(c_17412,plain,
( ~ midp(sK30,sK21,sK21)
| para(sK23,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_6672,c_9843]) ).
cnf(c_17720,plain,
coll(sK29,sK23,sK21),
inference(superposition,[status(thm)],[c_16624,c_6098]) ).
cnf(c_18980,plain,
( ~ midp(X0,sK21,X1)
| ~ midp(sK30,X1,X2)
| para(sK28,X0,sK22,X2) ),
inference(superposition,[status(thm)],[c_6527,c_7036]) ).
cnf(c_19046,plain,
( ~ midp(sK30,sK22,X0)
| para(sK28,sK29,sK22,X0) ),
inference(superposition,[status(thm)],[c_166,c_18980]) ).
cnf(c_19047,plain,
( ~ midp(sK30,sK23,X0)
| para(sK28,sK28,sK22,X0) ),
inference(superposition,[status(thm)],[c_168,c_18980]) ).
cnf(c_19079,plain,
( ~ para(sK22,X0,X1,X2)
| ~ midp(sK30,sK22,X0)
| para(sK28,sK29,X1,X2) ),
inference(superposition,[status(thm)],[c_19046,c_54]) ).
cnf(c_19151,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK28,X0,sK22) ),
inference(superposition,[status(thm)],[c_17384,c_51]) ).
cnf(c_19157,plain,
( ~ coll(sK22,sK24,sK21)
| coll(sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_19151]) ).
cnf(c_19186,plain,
coll(sK30,sK21,sK23),
inference(superposition,[status(thm)],[c_17403,c_50]) ).
cnf(c_19249,plain,
( ~ midp(sK30,sK23,X0)
| para(sK28,sK28,X0,sK22) ),
inference(superposition,[status(thm)],[c_19047,c_52]) ).
cnf(c_19433,plain,
( ~ midp(sK28,X0,X1)
| ~ coll(sK28,X0,sK22)
| ~ midp(sK30,sK23,X1)
| midp(sK28,X0,sK22) ),
inference(superposition,[status(thm)],[c_19249,c_94]) ).
cnf(c_19460,plain,
( ~ coll(sK28,sK21,sK22)
| ~ midp(sK30,sK23,sK21)
| ~ midp(sK28,sK21,sK21)
| midp(sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_19433]) ).
cnf(c_19716,plain,
( ~ cong(sK29,X0,sK29,X1)
| ~ coll(sK29,X0,X1)
| midp(sK29,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_19717,plain,
( ~ cong(sK29,sK21,sK29,sK21)
| ~ coll(sK29,sK21,sK21)
| midp(sK29,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_19716]) ).
cnf(c_19718,plain,
( ~ cong(sK28,X0,sK28,X1)
| ~ coll(sK28,X0,X1)
| midp(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_19719,plain,
( ~ cong(sK28,sK21,sK28,sK21)
| ~ coll(sK28,sK21,sK21)
| midp(sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_19718]) ).
cnf(c_20356,plain,
( ~ para(X0,X1,sK22,X2)
| ~ para(sK23,X3,X0,X1)
| para(sK23,X3,sK22,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_20357,plain,
( ~ para(sK21,sK21,sK22,sK21)
| ~ para(sK23,sK21,sK21,sK21)
| para(sK23,sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_20356]) ).
cnf(c_20695,plain,
coll(sK23,sK29,sK21),
inference(superposition,[status(thm)],[c_17720,c_50]) ).
cnf(c_20696,plain,
coll(sK29,sK21,sK23),
inference(superposition,[status(thm)],[c_17720,c_49]) ).
cnf(c_20699,plain,
( ~ para(sK26,sK21,X0,X1)
| ~ perp(X0,X1,sK21,sK27)
| perp(sK26,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_20700,plain,
( ~ para(sK26,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK27)
| perp(sK26,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_20699]) ).
cnf(c_22839,plain,
coll(sK30,sK23,sK21),
inference(superposition,[status(thm)],[c_19186,c_49]) ).
cnf(c_23043,plain,
( ~ midp(sK29,X0,sK23)
| perp(sK21,X0,sK22,sK25) ),
inference(superposition,[status(thm)],[c_172,c_7226]) ).
cnf(c_23111,plain,
( ~ midp(sK29,sK23,sK23)
| para(sK21,sK24,sK22,sK25) ),
inference(superposition,[status(thm)],[c_23043,c_7103]) ).
cnf(c_23599,plain,
( ~ coll(sK24,X0,sK25)
| ~ midp(sK21,X0,sK22)
| ~ midp(sK29,sK23,sK23)
| midp(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_23111,c_94]) ).
cnf(c_23623,plain,
( ~ coll(sK24,sK21,sK25)
| ~ midp(sK21,sK21,sK22)
| ~ midp(sK29,sK23,sK23)
| midp(sK24,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_23599]) ).
cnf(c_23847,plain,
coll(sK23,sK21,sK29),
inference(superposition,[status(thm)],[c_20695,c_49]) ).
cnf(c_24901,plain,
( ~ cong(sK29,sK22,sK29,X0)
| ~ cong(sK29,sK21,sK29,sK22)
| cong(sK29,sK21,sK29,X0) ),
inference(instantiation,[status(thm)],[c_8587]) ).
cnf(c_24903,plain,
( ~ cong(sK29,sK21,sK29,sK22)
| ~ cong(sK29,sK22,sK29,sK21)
| cong(sK29,sK21,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_24901]) ).
cnf(c_25041,plain,
( ~ cong(sK28,sK23,sK28,X0)
| ~ cong(sK28,sK21,sK28,sK23)
| cong(sK28,sK21,sK28,X0) ),
inference(instantiation,[status(thm)],[c_8660]) ).
cnf(c_25043,plain,
( ~ cong(sK28,sK21,sK28,sK23)
| ~ cong(sK28,sK23,sK28,sK21)
| cong(sK28,sK21,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_25041]) ).
cnf(c_25916,plain,
( ~ midp(sK26,X0,X1)
| ~ midp(sK21,X0,X2)
| para(sK26,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_25917,plain,
( ~ midp(sK26,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| para(sK26,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_25916]) ).
cnf(c_26479,plain,
coll(sK23,sK29,sK23),
inference(superposition,[status(thm)],[c_23847,c_6393]) ).
cnf(c_26576,plain,
( ~ midp(sK30,sK22,sK23)
| para(sK28,sK29,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7385,c_19079]) ).
cnf(c_26594,plain,
para(sK28,sK29,sK22,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_26576,c_5909]) ).
cnf(c_26720,plain,
( ~ coll(sK29,X0,sK23)
| ~ midp(sK28,X0,sK22)
| midp(sK29,X0,sK23) ),
inference(superposition,[status(thm)],[c_26594,c_94]) ).
cnf(c_26737,plain,
( ~ coll(sK29,sK21,sK23)
| ~ midp(sK28,sK21,sK22)
| midp(sK29,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_26720]) ).
cnf(c_29080,plain,
coll(sK29,sK23,sK23),
inference(superposition,[status(thm)],[c_26479,c_50]) ).
cnf(c_33481,plain,
( ~ midp(sK30,sK21,sK21)
| ~ midp(sK29,sK23,sK22)
| midp(sK30,sK23,sK21) ),
inference(superposition,[status(thm)],[c_22839,c_8481]) ).
cnf(c_33873,plain,
( ~ midp(sK29,sK21,sK23)
| ~ midp(sK29,sK23,sK22)
| midp(sK29,sK23,sK23) ),
inference(superposition,[status(thm)],[c_29080,c_8481]) ).
cnf(c_38373,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK24,X1,sK25)
| para(sK24,X0,sK25,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_38374,plain,
( ~ midp(sK21,sK21,sK21)
| ~ midp(sK24,sK21,sK25)
| para(sK24,sK21,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_38373]) ).
cnf(c_50044,plain,
midp(sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_166,c_59]) ).
cnf(c_50123,plain,
perp(sK21,sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_165,c_55]) ).
cnf(c_50172,plain,
perp(sK27,sK29,sK21,sK22),
inference(superposition,[status(thm)],[c_50123,c_56]) ).
cnf(c_51210,plain,
( ~ midp(sK29,sK21,sK22)
| cong(sK27,sK21,sK27,sK22) ),
inference(superposition,[status(thm)],[c_50172,c_104]) ).
cnf(c_51212,plain,
perp(sK27,sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_50172,c_55]) ).
cnf(c_51213,plain,
cong(sK27,sK21,sK27,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_51210,c_166]) ).
cnf(c_51324,plain,
( ~ midp(sK29,sK22,sK21)
| cong(sK27,sK22,sK27,sK21) ),
inference(superposition,[status(thm)],[c_51212,c_104]) ).
cnf(c_51327,plain,
cong(sK27,sK22,sK27,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_51324,c_50044]) ).
cnf(c_51333,plain,
( ~ cong(sK27,sK22,X0,X1)
| cong(sK27,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_51213,c_73]) ).
cnf(c_51931,plain,
cong(sK27,sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_51327,c_71]) ).
cnf(c_56185,plain,
( ~ para(X0,sK23,X1,sK22)
| ~ para(X0,sK22,X1,sK23)
| ~ midp(sK29,X0,X1)
| midp(sK29,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_56186,plain,
( ~ para(sK21,sK23,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK23)
| ~ midp(sK29,sK21,sK21)
| midp(sK29,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56185]) ).
cnf(c_57688,plain,
( ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK27,X1,sK27)
| perp(X0,X1,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_57689,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK27,sK21,sK27)
| perp(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_57688]) ).
cnf(c_66020,plain,
( ~ cong(sK21,sK27,sK27,X0)
| cong(sK21,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_66021,plain,
( ~ cong(sK21,sK27,sK27,sK21)
| cong(sK21,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_66020]) ).
cnf(c_75256,plain,
( ~ cong(sK27,X0,sK21,sK27)
| cong(sK21,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_75257,plain,
( ~ cong(sK27,sK21,sK21,sK27)
| cong(sK21,sK27,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_75256]) ).
cnf(c_93941,plain,
cong(sK27,sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_51931,c_51333]) ).
cnf(c_93952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_93941,c_75257,c_66021,c_57689,c_56186,c_38374,c_33481,c_33873,c_26737,c_25917,c_25043,c_24903,c_23623,c_20700,c_20696,c_20357,c_19719,c_19717,c_19460,c_19157,c_17412,c_17111,c_15227,c_15218,c_11526,c_11353,c_10840,c_10573,c_9837,c_9851,c_9856,c_9209,c_8470,c_8223,c_8024,c_7871,c_6854,c_6578,c_6552,c_6508,c_6380,c_6351,c_6350,c_6307,c_6194,c_6163,c_5949,c_5910,c_5911,c_5912,c_5879,c_240,c_186,c_182,c_162,c_164,c_166,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 23:40:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.35/3.69 % SZS status Started for theBenchmark.p
% 20.35/3.69 % SZS status Theorem for theBenchmark.p
% 20.35/3.69
% 20.35/3.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.35/3.69
% 20.35/3.69 ------ iProver source info
% 20.35/3.69
% 20.35/3.69 git: date: 2023-05-31 18:12:56 +0000
% 20.35/3.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.35/3.69 git: non_committed_changes: false
% 20.35/3.69 git: last_make_outside_of_git: false
% 20.35/3.69
% 20.35/3.69 ------ Parsing...
% 20.35/3.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.35/3.69
% 20.35/3.69 ------ 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
% 20.35/3.69
% 20.35/3.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.35/3.69
% 20.35/3.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.35/3.69 ------ Proving...
% 20.35/3.69 ------ Problem Properties
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69 clauses 127
% 20.35/3.69 conjectures 15
% 20.35/3.69 EPR 90
% 20.35/3.69 Horn 117
% 20.35/3.69 unary 15
% 20.35/3.69 binary 37
% 20.35/3.69 lits 343
% 20.35/3.69 lits eq 4
% 20.35/3.69 fd_pure 0
% 20.35/3.69 fd_pseudo 0
% 20.35/3.69 fd_cond 0
% 20.35/3.69 fd_pseudo_cond 4
% 20.35/3.69 AC symbols 0
% 20.35/3.69
% 20.35/3.69 ------ Schedule dynamic 5 is on
% 20.35/3.69
% 20.35/3.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69 ------
% 20.35/3.69 Current options:
% 20.35/3.69 ------
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69 ------ Proving...
% 20.35/3.69
% 20.35/3.69
% 20.35/3.69 % SZS status Theorem for theBenchmark.p
% 20.35/3.69
% 20.35/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.69/3.70
% 20.69/3.70
%------------------------------------------------------------------------------