TSTP Solution File: GEO582+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 23:11:54 EDT 2023
% Result : Theorem 29.00s 4.72s
% Output : CNFRefutation 29.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 36
% Syntax : Number of formulae : 418 ( 84 unt; 0 def)
% Number of atoms : 1015 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1055 ( 458 ~; 452 |; 92 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 942 ( 2 sgn; 618 !; 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(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
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(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/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(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X18,X19,X20] :
( ( coll(X19,X0,X1)
& perp(X2,X3,X2,X19)
& coll(X18,X2,X3)
& perp(X0,X1,X0,X18)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X3,X1,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X18,X19,X20] :
( ( coll(X19,X0,X1)
& perp(X2,X3,X2,X19)
& coll(X18,X2,X3)
& perp(X0,X1,X0,X18)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X3,X1,X18,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
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(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> para(X4,X1,X5,X6) ),
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(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
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(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f221]) ).
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(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
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(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
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(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK24,sK21,sK25,sK26)
& coll(sK26,sK20,sK21)
& perp(sK22,sK24,sK22,sK26)
& coll(sK25,sK22,sK24)
& perp(sK20,sK21,sK20,sK25)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK24,sK21,sK25,sK26)
& coll(sK26,sK20,sK21)
& perp(sK22,sK24,sK22,sK26)
& coll(sK25,sK22,sK24)
& perp(sK20,sK21,sK20,sK25)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[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(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
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(f401,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f222]) ).
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(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
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(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
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(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
perp(sK20,sK21,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK22,sK24,sK22,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
~ para(sK24,sK21,sK25,sK26),
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_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
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_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[f401]) ).
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_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
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_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
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_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ para(sK24,sK21,sK25,sK26),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_164,negated_conjecture,
perp(sK22,sK24,sK22,sK26),
inference(cnf_transformation,[],[f477]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_166,negated_conjecture,
perp(sK20,sK21,sK20,sK25),
inference(cnf_transformation,[],[f475]) ).
cnf(c_167,negated_conjecture,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f474]) ).
cnf(c_168,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_174,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_178,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_183,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_232,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_357,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_363,plain,
( ~ perp(sK22,sK24,sK22,sK26)
| perp(sK22,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_364,plain,
( ~ perp(sK20,sK21,sK20,sK25)
| perp(sK20,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_373,plain,
( ~ circle(sK23,sK20,sK24,sK27)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_375,plain,
( ~ perp(X0,X1,sK22,sK24)
| ~ perp(sK22,sK24,sK22,sK26)
| para(X0,X1,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_377,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK25)
| para(X0,X1,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_378,plain,
( ~ perp(sK20,sK21,sK20,sK25)
| ~ perp(sK20,sK20,sK20,sK21)
| para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_411,plain,
( ~ coll(sK26,sK21,sK20)
| coll(sK21,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_435,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_436,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_437,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_451,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_435,c_50]) ).
cnf(c_472,plain,
coll(sK21,sK20,sK26),
inference(superposition,[status(thm)],[c_451,c_49]) ).
cnf(c_484,plain,
perp(sK20,sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_499,plain,
perp(sK25,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_484,c_56]) ).
cnf(c_523,plain,
( ~ perp(X0,X1,sK22,sK26)
| ~ perp(sK22,sK26,sK22,sK24)
| para(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_524,plain,
( ~ perp(sK20,sK20,sK22,sK26)
| ~ perp(sK22,sK26,sK22,sK24)
| para(sK20,sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_541,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_542,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_557,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_541,c_72]) ).
cnf(c_562,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_557,c_71]) ).
cnf(c_565,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_562,c_72]) ).
cnf(c_583,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_584,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_585,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_435,c_51]) ).
cnf(c_586,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_436,c_51]) ).
cnf(c_587,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_437,c_51]) ).
cnf(c_590,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_451,c_51]) ).
cnf(c_598,plain,
( ~ coll(sK21,sK26,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_590]) ).
cnf(c_601,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_587]) ).
cnf(c_619,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_628,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_163,c_583]) ).
cnf(c_629,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_628,c_51]) ).
cnf(c_649,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_165,c_584]) ).
cnf(c_650,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_649,c_51]) ).
cnf(c_670,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_435,c_585]) ).
cnf(c_674,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_670,c_49]) ).
cnf(c_716,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_674,c_51]) ).
cnf(c_720,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_716]) ).
cnf(c_756,plain,
coll(sK26,sK26,sK21),
inference(superposition,[status(thm)],[c_628,c_629]) ).
cnf(c_758,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_756,c_51]) ).
cnf(c_761,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_649,c_650]) ).
cnf(c_773,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_761,c_51]) ).
cnf(c_775,plain,
coll(sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_761,c_49]) ).
cnf(c_776,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK24,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_773]) ).
cnf(c_833,plain,
coll(sK22,sK25,sK25),
inference(superposition,[status(thm)],[c_775,c_586]) ).
cnf(c_835,plain,
( ~ perp(sK22,sK24,sK22,sK26)
| ~ perp(sK22,sK26,sK22,sK24)
| para(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_836,plain,
( ~ perp(sK20,sK21,sK20,sK25)
| ~ perp(sK20,sK25,sK20,sK21)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_855,plain,
coll(sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_833,c_50]) ).
cnf(c_883,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,X2,X1)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_542,c_116]) ).
cnf(c_889,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_565,c_116]) ).
cnf(c_932,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
cnf(c_948,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_975,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_855,c_49]) ).
cnf(c_994,plain,
perp(sK20,sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_997,plain,
perp(sK22,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_998,plain,
perp(sK20,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_1000,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_932,c_56]) ).
cnf(c_1012,plain,
perp(sK20,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_998,c_55]) ).
cnf(c_1024,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_948,c_716]) ).
cnf(c_1028,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_1024,c_50]) ).
cnf(c_1226,plain,
( ~ perp(sK25,sK20,sK20,sK21)
| ~ coll(sK21,X0,X1)
| perp(sK16(sK25,sK21,sK20,X0,X1),sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_1229,plain,
( ~ perp(sK25,sK20,sK20,sK21)
| ~ coll(sK21,sK20,sK20)
| perp(sK16(sK25,sK21,sK20,sK20,sK20),sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1226]) ).
cnf(c_1267,plain,
( ~ midp(sK21,sK20,sK25)
| cong(sK20,sK20,sK20,sK25) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_1275,plain,
( ~ midp(sK25,sK21,sK20)
| cong(sK20,sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_1012,c_104]) ).
cnf(c_1335,plain,
( ~ perp(sK20,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_1337,plain,
( ~ perp(sK25,sK20,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_994,c_57]) ).
cnf(c_1338,plain,
( ~ perp(sK22,sK24,X0,X1)
| para(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_997,c_57]) ).
cnf(c_1339,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_998,c_57]) ).
cnf(c_1353,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_1000,c_57]) ).
cnf(c_1403,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK24,sK27,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1405,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK27,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1537,plain,
perp(sK20,sK21,sK25,sK20),
inference(resolution,[status(thm)],[c_55,c_166]) ).
cnf(c_1571,plain,
perp(sK22,sK26,sK22,sK24),
inference(resolution,[status(thm)],[c_56,c_164]) ).
cnf(c_1572,plain,
perp(sK20,sK25,sK20,sK21),
inference(resolution,[status(thm)],[c_56,c_166]) ).
cnf(c_1609,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_998,c_1335]) ).
cnf(c_1610,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_1012,c_1335]) ).
cnf(c_1635,plain,
( ~ para(sK21,sK20,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1610,c_54]) ).
cnf(c_1636,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_1610,c_53]) ).
cnf(c_1638,plain,
( ~ para(sK21,sK20,sK20,sK20)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1635]) ).
cnf(c_1722,plain,
( ~ cong(sK20,sK25,X0,X1)
| ~ midp(sK21,sK20,sK25)
| cong(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_1267,c_73]) ).
cnf(c_1806,plain,
( ~ midp(sK20,sK20,sK21)
| midp(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1024,c_883]) ).
cnf(c_1911,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_1028,c_889]) ).
cnf(c_2131,plain,
( ~ coll(sK22,X0,sK25)
| coll(sK22,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2132,plain,
( ~ coll(sK22,sK20,sK25)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_2131]) ).
cnf(c_2437,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2507,plain,
perp(sK20,sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_2524,plain,
perp(sK25,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_2507,c_56]) ).
cnf(c_2560,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_2524,c_1337]) ).
cnf(c_2585,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_975,c_51]) ).
cnf(c_2587,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2585]) ).
cnf(c_2633,plain,
para(sK22,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_164,c_1338]) ).
cnf(c_2644,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_166,c_1339]) ).
cnf(c_2650,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_2644,c_115]) ).
cnf(c_2652,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_2650,c_50]) ).
cnf(c_3251,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(resolution,[status(thm)],[c_102,c_168]) ).
cnf(c_3565,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_2652,c_49]) ).
cnf(c_3581,plain,
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK20,sK25) ),
inference(resolution,[status(thm)],[c_57,c_166]) ).
cnf(c_3585,plain,
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK25,sK20) ),
inference(resolution,[status(thm)],[c_57,c_1537]) ).
cnf(c_4012,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_4016,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4012]) ).
cnf(c_4326,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_1636,c_94]) ).
cnf(c_4334,plain,
( ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4326]) ).
cnf(c_4546,plain,
( ~ para(X0,X1,sK22,sK24)
| perp(X0,X1,sK22,sK26) ),
inference(resolution,[status(thm)],[c_58,c_164]) ).
cnf(c_4548,plain,
( ~ para(X0,X1,sK20,sK21)
| perp(X0,X1,sK20,sK25) ),
inference(resolution,[status(thm)],[c_58,c_166]) ).
cnf(c_4554,plain,
( ~ para(X0,X1,sK22,sK26)
| perp(X0,X1,sK22,sK24) ),
inference(resolution,[status(thm)],[c_58,c_1571]) ).
cnf(c_4556,plain,
( ~ para(X0,X1,sK20,sK25)
| perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_1572]) ).
cnf(c_4767,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK22,sK24)
| para(X0,X1,sK22,sK26) ),
inference(resolution,[status(thm)],[c_4546,c_57]) ).
cnf(c_4779,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK20,sK21)
| para(X0,X1,sK20,sK25) ),
inference(resolution,[status(thm)],[c_4548,c_57]) ).
cnf(c_4873,plain,
( ~ para(X0,X1,sK22,sK26)
| perp(sK22,sK24,X0,X1) ),
inference(resolution,[status(thm)],[c_4554,c_56]) ).
cnf(c_4915,plain,
( ~ para(X0,X1,sK20,sK25)
| perp(sK20,sK21,X0,X1) ),
inference(resolution,[status(thm)],[c_4556,c_56]) ).
cnf(c_4917,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK20,sK25)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_4556,c_57]) ).
cnf(c_4919,plain,
( ~ para(sK20,sK20,sK20,sK25)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4917]) ).
cnf(c_5248,plain,
( ~ perp(sK20,sK21,X0,X1)
| perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5249,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_5248]) ).
cnf(c_5372,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_5373,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5372]) ).
cnf(c_5885,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_2633,c_113]) ).
cnf(c_5886,plain,
( ~ para(sK20,sK25,sK20,sK25)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_2644,c_113]) ).
cnf(c_5890,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_2560,c_113]) ).
cnf(c_5903,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5890]) ).
cnf(c_5908,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ midp(sK20,sK22,sK22)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_5885]) ).
cnf(c_6373,plain,
( ~ para(sK20,sK21,sK22,sK26)
| para(sK22,sK24,sK20,sK25) ),
inference(resolution,[status(thm)],[c_4873,c_3581]) ).
cnf(c_6559,plain,
( ~ para(X0,X1,sK20,sK25)
| ~ para(X0,X1,sK22,sK24)
| para(sK20,sK21,sK22,sK26) ),
inference(resolution,[status(thm)],[c_4915,c_4767]) ).
cnf(c_6560,plain,
( ~ para(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK20,sK25)
| para(sK20,sK21,sK20,sK25) ),
inference(resolution,[status(thm)],[c_4915,c_4779]) ).
cnf(c_6561,plain,
( ~ para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK20,sK20,sK25)
| para(sK20,sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6560]) ).
cnf(c_6562,plain,
( ~ para(sK20,sK20,sK20,sK25)
| ~ para(sK20,sK20,sK22,sK24)
| para(sK20,sK21,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_6559]) ).
cnf(c_6569,plain,
( ~ para(sK20,sK21,sK20,sK25)
| para(sK20,sK21,sK25,sK20) ),
inference(resolution,[status(thm)],[c_4915,c_3585]) ).
cnf(c_7287,plain,
( ~ coll(sK20,sK21,sK20)
| ~ midp(sK25,sK21,sK20)
| midp(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1275,c_116]) ).
cnf(c_7760,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK24,sK27,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_1405]) ).
cnf(c_8535,plain,
( ~ coll(sK23,X0,X1)
| coll(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_8536,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_8535]) ).
cnf(c_9111,plain,
( ~ perp(sK16(sK25,sK21,sK20,X0,X1),sK25,X0,X1)
| perp(X0,X1,sK16(sK25,sK21,sK20,X0,X1),sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_9113,plain,
( ~ perp(sK16(sK25,sK21,sK20,sK20,sK20),sK25,sK20,sK20)
| perp(sK20,sK20,sK16(sK25,sK21,sK20,sK20,sK20),sK25) ),
inference(instantiation,[status(thm)],[c_9111]) ).
cnf(c_9114,plain,
( ~ perp(sK16(sK25,sK21,sK20,X0,X1),sK25,X0,X1)
| ~ perp(X2,X3,sK16(sK25,sK21,sK20,X0,X1),sK25)
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_9115,plain,
( ~ perp(sK16(sK25,sK21,sK20,sK20,sK20),sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK25,sK21,sK20,sK20,sK20),sK25)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9114]) ).
cnf(c_10023,plain,
midp(sK20,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_7287,c_163,c_174,c_178,c_232,c_357,c_411,c_499,c_598,c_601,c_674,c_720,c_1229,c_1609,c_1806,c_1911,c_4016,c_4334,c_5903,c_9113,c_9115]) ).
cnf(c_10025,plain,
( ~ midp(sK20,X0,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_10023,c_112]) ).
cnf(c_10031,plain,
( ~ midp(sK20,sK20,sK20)
| para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10025]) ).
cnf(c_10701,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK20,sK21,X0,X1)
| perp(sK20,sK21,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_10702,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10701]) ).
cnf(c_14457,plain,
( ~ midp(sK24,X0,sK25)
| ~ midp(sK21,X0,sK26)
| para(sK24,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_14458,plain,
( ~ midp(sK24,sK20,sK25)
| ~ midp(sK21,sK20,sK26)
| para(sK24,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_14457]) ).
cnf(c_14797,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(resolution,[status(thm)],[c_3251,c_56]) ).
cnf(c_14800,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_3251,c_57]) ).
cnf(c_14880,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_14881,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_14906,plain,
para(sK22,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_164,c_1338]) ).
cnf(c_14908,plain,
perp(sK20,sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_14919,plain,
coll(sK22,sK26,sK26),
inference(superposition,[status(thm)],[c_14906,c_115]) ).
cnf(c_14929,plain,
coll(sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_14919,c_50]) ).
cnf(c_14960,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_166,c_1339]) ).
cnf(c_14962,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_932,c_1339]) ).
cnf(c_14966,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_14880,c_51]) ).
cnf(c_14967,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_14881,c_51]) ).
cnf(c_14981,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_14960,c_115]) ).
cnf(c_14991,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_14981,c_50]) ).
cnf(c_15018,plain,
midp(sK21,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_1911,c_174,c_178,c_232,c_499,c_601,c_674,c_720,c_1229,c_1609,c_1911,c_4016,c_5903,c_9113,c_9115]) ).
cnf(c_15023,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK20,sK25) ),
inference(superposition,[status(thm)],[c_14962,c_53]) ).
cnf(c_15072,plain,
( ~ midp(sK21,sK20,sK25)
| cong(sK20,sK20,sK20,sK25) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_15074,plain,
( ~ midp(sK21,sK25,sK20)
| cong(sK20,sK25,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14908,c_104]) ).
cnf(c_15098,plain,
( ~ perp(sK20,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_15147,plain,
( ~ midp(sK21,sK25,sK20)
| ~ midp(sK21,sK20,sK25)
| cong(sK20,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_15074,c_1722]) ).
cnf(c_15241,plain,
cong(sK20,sK20,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_15147,c_178,c_232,c_499,c_601,c_674,c_720,c_1229,c_4016,c_9113,c_9115]) ).
cnf(c_15243,plain,
( ~ cong(sK20,sK20,sK20,X0)
| circle(sK20,sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_15241,c_60]) ).
cnf(c_15259,plain,
( ~ midp(sK21,sK20,sK25)
| circle(sK20,sK20,sK25,sK20) ),
inference(superposition,[status(thm)],[c_15072,c_15243]) ).
cnf(c_15262,plain,
( ~ coll(sK20,sK20,sK20)
| ~ midp(sK21,sK20,sK25)
| perp(sK20,sK25,sK25,sK20) ),
inference(superposition,[status(thm)],[c_15259,c_102]) ).
cnf(c_15265,plain,
coll(sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_14929,c_49]) ).
cnf(c_15268,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_14991,c_49]) ).
cnf(c_15736,plain,
( ~ para(sK20,sK25,sK20,sK25)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_14960,c_113]) ).
cnf(c_15768,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK25,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_15736,c_166,c_364,c_836,c_5886]) ).
cnf(c_15772,plain,
midp(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_15018,c_15768]) ).
cnf(c_15779,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_15772,c_118]) ).
cnf(c_15971,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK25,sK20) ),
inference(superposition,[status(thm)],[c_15023,c_52]) ).
cnf(c_16079,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK21,X0,sK25)
| ~ coll(sK23,sK20,sK22)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_15971,c_94]) ).
cnf(c_16087,plain,
( ~ coll(sK22,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK25)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16079]) ).
cnf(c_17964,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_15265,c_758]) ).
cnf(c_17976,plain,
coll(sK24,sK20,sK25),
inference(superposition,[status(thm)],[c_15268,c_773]) ).
cnf(c_18006,plain,
coll(sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_15779,c_50]) ).
cnf(c_18019,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_17964,c_49]) ).
cnf(c_18042,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_17976,c_49]) ).
cnf(c_18276,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK26,X1,sK26)
| perp(X0,X1,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_18277,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_18276]) ).
cnf(c_18284,plain,
( ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK22,X1,sK22)
| perp(X0,X1,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_18285,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK22,sK20,sK22)
| perp(sK20,sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_18284]) ).
cnf(c_18503,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(resolution,[status(thm)],[c_14800,c_14797]) ).
cnf(c_18528,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_18006,c_49]) ).
cnf(c_19023,plain,
( ~ midp(sK21,sK20,sK25)
| perp(sK20,sK25,sK25,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_15262,c_674,c_720,c_15262]) ).
cnf(c_19035,plain,
( ~ midp(sK21,sK20,sK25)
| para(sK20,sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_19023,c_15098]) ).
cnf(c_19040,plain,
para(sK20,sK21,sK25,sK20),
inference(global_subsumption_just,[status(thm)],[c_19035,c_166,c_174,c_178,c_183,c_232,c_378,c_499,c_601,c_674,c_720,c_1229,c_1638,c_4016,c_4919,c_5249,c_6561,c_6569,c_9113,c_9115,c_10031,c_10702]) ).
cnf(c_19047,plain,
para(sK20,sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_19040,c_52]) ).
cnf(c_19109,plain,
( ~ coll(sK21,X0,sK25)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_19047,c_94]) ).
cnf(c_19115,plain,
( ~ coll(sK21,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_19109]) ).
cnf(c_19140,plain,
coll(sK26,sK21,sK22),
inference(superposition,[status(thm)],[c_18019,c_50]) ).
cnf(c_19163,plain,
( ~ para(X0,sK21,X1,sK26)
| ~ midp(X0,X2,X1)
| ~ coll(sK21,X2,sK26)
| midp(sK21,X2,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_19164,plain,
( ~ para(sK20,sK21,sK20,sK26)
| ~ coll(sK21,sK20,sK26)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_19163]) ).
cnf(c_19171,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_18042,c_50]) ).
cnf(c_19556,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_18528,c_51]) ).
cnf(c_19561,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_19556]) ).
cnf(c_20050,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_19140,c_14966]) ).
cnf(c_20125,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_19171,c_14967]) ).
cnf(c_20132,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_20125,c_49]) ).
cnf(c_20173,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_20050,c_49]) ).
cnf(c_20410,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_20132,c_51]) ).
cnf(c_20414,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20410]) ).
cnf(c_20415,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_20173,c_51]) ).
cnf(c_20419,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20415]) ).
cnf(c_23053,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_932,c_1353]) ).
cnf(c_23070,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_23053,c_113]) ).
cnf(c_23081,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_23070]) ).
cnf(c_23572,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(sK22,X0,X2)
| cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_23573,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ midp(sK22,sK20,sK20)
| cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_23572]) ).
cnf(c_23918,plain,
( ~ perp(X0,sK21,X1,X2)
| ~ perp(X1,X2,X3,sK26)
| para(X0,sK21,X3,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_23923,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK26)
| para(sK20,sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_23918]) ).
cnf(c_24128,plain,
( ~ midp(X0,sK26,sK26)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_24130,plain,
( ~ midp(sK20,sK26,sK26)
| cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_24128]) ).
cnf(c_32510,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X2,X0,X0)
| coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
cnf(c_36623,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_932,c_1353]) ).
cnf(c_40313,plain,
( ~ para(sK20,sK21,sK22,sK26)
| ~ coll(sK24,X0,sK25)
| ~ midp(sK22,X0,sK20)
| midp(sK24,X0,sK25) ),
inference(resolution,[status(thm)],[c_94,c_6373]) ).
cnf(c_40314,plain,
( ~ para(sK20,sK21,sK22,sK26)
| ~ coll(sK24,sK20,sK25)
| ~ midp(sK22,sK20,sK20)
| midp(sK24,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_40313]) ).
cnf(c_40896,plain,
( ~ coll(sK23,sK20,sK22)
| cyclic(sK22,X0,sK21,sK21)
| coll(sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_36623,c_32510]) ).
cnf(c_41004,plain,
~ coll(sK23,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_40896,c_166,c_164,c_162,c_174,c_178,c_183,c_232,c_363,c_378,c_472,c_499,c_524,c_601,c_674,c_720,c_776,c_835,c_1229,c_1609,c_1638,c_3565,c_4016,c_5249,c_5903,c_5908,c_6562,c_9113,c_9115,c_10031,c_10702,c_14458,c_16087,c_18277,c_18285,c_18503,c_19115,c_19164,c_19561,c_20419,c_23081,c_23573,c_23923,c_24130,c_40314]) ).
cnf(c_55965,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_55966,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_55965]) ).
cnf(c_60047,plain,
( ~ coll(sK20,sK23,X0)
| coll(sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_60048,plain,
( ~ coll(sK20,sK23,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_60047]) ).
cnf(c_60049,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_60048,c_55966,c_41004,c_20414,c_8536,c_7760,c_5373,c_3565,c_2587,c_2437,c_2132,c_1403,c_619,c_373,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:04:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 29.00/4.72 % SZS status Started for theBenchmark.p
% 29.00/4.72 % SZS status Theorem for theBenchmark.p
% 29.00/4.72
% 29.00/4.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 29.00/4.72
% 29.00/4.72 ------ iProver source info
% 29.00/4.72
% 29.00/4.72 git: date: 2023-05-31 18:12:56 +0000
% 29.00/4.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 29.00/4.72 git: non_committed_changes: false
% 29.00/4.72 git: last_make_outside_of_git: false
% 29.00/4.72
% 29.00/4.72 ------ Parsing...
% 29.00/4.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 29.00/4.72
% 29.00/4.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 29.00/4.72
% 29.00/4.72 ------ Preprocessing...
% 29.00/4.72
% 29.00/4.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.00/4.72 ------ Proving...
% 29.00/4.72 ------ Problem Properties
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72 clauses 119
% 29.00/4.72 conjectures 7
% 29.00/4.72 EPR 82
% 29.00/4.72 Horn 109
% 29.00/4.72 unary 7
% 29.00/4.72 binary 37
% 29.00/4.72 lits 335
% 29.00/4.72 lits eq 4
% 29.00/4.72 fd_pure 0
% 29.00/4.72 fd_pseudo 0
% 29.00/4.72 fd_cond 0
% 29.00/4.72 fd_pseudo_cond 4
% 29.00/4.72 AC symbols 0
% 29.00/4.72
% 29.00/4.72 ------ Input Options Time Limit: Unbounded
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72 ------
% 29.00/4.72 Current options:
% 29.00/4.72 ------
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72 ------ Proving...
% 29.00/4.72
% 29.00/4.72
% 29.00/4.72 % SZS status Theorem for theBenchmark.p
% 29.00/4.72
% 29.00/4.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.00/4.72
% 29.00/4.72
%------------------------------------------------------------------------------