TSTP Solution File: GEO606+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Fri May 3 02:18:01 EDT 2024
% Result : Theorem 95.85s 13.71s
% Output : CNFRefutation 95.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 445 ( 87 unt; 0 def)
% Number of atoms : 1129 ( 4 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 1160 ( 476 ~; 471 |; 157 &)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-5 aty)
% Number of variables : 1083 ( 6 sgn 667 !; 73 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f86,axiom,
! [X0,X1,X2,X13] :
? [X8,X9] :
( ( perp(X1,X13,X0,X2)
& perp(X0,X13,X1,X2) )
=> ( perp(X1,X9,X2,X0)
& coll(X9,X2,X0)
& perp(X0,X8,X2,X1)
& coll(X8,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX10) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X8,X3,X4,X18,X5,X12,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( coll(X12,X5,X1)
& circle(X1,X5,X12,X28)
& circle(X1,X8,X5,X27)
& coll(X5,X3,X18)
& circle(X1,X8,X18,X26)
& circle(X0,X8,X18,X25)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X24)
& circle(X0,X8,X3,X23)
& circle(X1,X8,X21,X22)
& circle(X0,X8,X19,X20)
& perp(X8,X0,X8,X1) )
=> perp(X12,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X8,X3,X4,X18,X5,X12,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( coll(X12,X5,X1)
& circle(X1,X5,X12,X28)
& circle(X1,X8,X5,X27)
& coll(X5,X3,X18)
& circle(X1,X8,X18,X26)
& circle(X0,X8,X18,X25)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X24)
& circle(X0,X8,X3,X23)
& circle(X1,X8,X21,X22)
& circle(X0,X8,X19,X20)
& perp(X8,X0,X8,X1) )
=> perp(X12,X5,X3,X4) ),
inference(negated_conjecture,[],[f95]) ).
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(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
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(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
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(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(f158,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X3,X0,X2)
& perp(X0,X3,X1,X2) )
=> ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(rectify,[],[f86]) ).
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,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( coll(X7,X6,X1)
& circle(X1,X6,X7,X17)
& circle(X1,X2,X6,X16)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X15)
& circle(X0,X2,X5,X14)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X13)
& circle(X0,X2,X3,X12)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X8,X9)
& perp(X2,X0,X2,X1) )
=> perp(X7,X6,X3,X4) ),
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(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(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(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(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
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(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
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(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(f302,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f158]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(flattening,[],[f302]) ).
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,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ~ perp(X7,X6,X3,X4)
& coll(X7,X6,X1)
& circle(X1,X6,X7,X17)
& circle(X1,X2,X6,X16)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X15)
& circle(X0,X2,X5,X14)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X13)
& circle(X0,X2,X3,X12)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X8,X9)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ~ perp(X7,X6,X3,X4)
& coll(X7,X6,X1)
& circle(X1,X6,X7,X17)
& circle(X1,X2,X6,X16)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X15)
& circle(X0,X2,X5,X14)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X13)
& circle(X0,X2,X3,X12)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X8,X9)
& perp(X2,X0,X2,X1) ),
inference(flattening,[],[f319]) ).
fof(f340,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) )
=> ( ( perp(X1,sK10(X0,X1,X2,X3),X2,X0)
& coll(sK10(X0,X1,X2,X3),X2,X0)
& perp(X0,sK9(X0,X1,X2,X3),X2,X1)
& coll(sK9(X0,X1,X2,X3),X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f341,plain,
! [X0,X1,X2,X3] :
( ( perp(X1,sK10(X0,X1,X2,X3),X2,X0)
& coll(sK10(X0,X1,X2,X3),X2,X0)
& perp(X0,sK9(X0,X1,X2,X3),X2,X1)
& coll(sK9(X0,X1,X2,X3),X2,X1) )
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f303,f340]) ).
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,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ~ perp(X7,X6,X3,X4)
& coll(X7,X6,X1)
& circle(X1,X6,X7,X17)
& circle(X1,X2,X6,X16)
& coll(X6,X3,X5)
& circle(X1,X2,X5,X15)
& circle(X0,X2,X5,X14)
& coll(X4,X3,X0)
& circle(X0,X3,X4,X13)
& circle(X0,X2,X3,X12)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X8,X9)
& perp(X2,X0,X2,X1) )
=> ( ~ perp(sK27,sK26,sK23,sK24)
& coll(sK27,sK26,sK21)
& circle(sK21,sK26,sK27,sK37)
& circle(sK21,sK22,sK26,sK36)
& coll(sK26,sK23,sK25)
& circle(sK21,sK22,sK25,sK35)
& circle(sK20,sK22,sK25,sK34)
& coll(sK24,sK23,sK20)
& circle(sK20,sK23,sK24,sK33)
& circle(sK20,sK22,sK23,sK32)
& circle(sK21,sK22,sK30,sK31)
& circle(sK20,sK22,sK28,sK29)
& perp(sK22,sK20,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK27,sK26,sK23,sK24)
& coll(sK27,sK26,sK21)
& circle(sK21,sK26,sK27,sK37)
& circle(sK21,sK22,sK26,sK36)
& coll(sK26,sK23,sK25)
& circle(sK21,sK22,sK25,sK35)
& circle(sK20,sK22,sK25,sK34)
& coll(sK24,sK23,sK20)
& circle(sK20,sK23,sK24,sK33)
& circle(sK20,sK22,sK23,sK32)
& circle(sK21,sK22,sK30,sK31)
& circle(sK20,sK22,sK28,sK29)
& perp(sK22,sK20,sK22,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37])],[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(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(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
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(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(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
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(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
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(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(f455,plain,
! [X2,X3,X0,X1] :
( coll(sK9(X0,X1,X2,X3),X2,X1)
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f341]) ).
fof(f457,plain,
! [X2,X3,X0,X1] :
( coll(sK10(X0,X1,X2,X3),X2,X0)
| ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f341]) ).
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,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK20,sK23,sK24,sK33),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK24,sK23,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
circle(sK21,sK26,sK27,sK37),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
coll(sK27,sK26,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
~ perp(sK27,sK26,sK23,sK24),
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_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_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
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_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_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
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_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_145,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X1,X0,X3)
| coll(sK10(X0,X2,X3,X1),X3,X0) ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_147,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X1,X0,X3)
| coll(sK9(X0,X2,X3,X1),X3,X2) ),
inference(cnf_transformation,[],[f455]) ).
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,
~ perp(sK27,sK26,sK23,sK24),
inference(cnf_transformation,[],[f485]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK26,sK21),
inference(cnf_transformation,[],[f484]) ).
cnf(c_164,negated_conjecture,
circle(sK21,sK26,sK27,sK37),
inference(cnf_transformation,[],[f483]) ).
cnf(c_169,negated_conjecture,
coll(sK24,sK23,sK20),
inference(cnf_transformation,[],[f478]) ).
cnf(c_170,negated_conjecture,
circle(sK20,sK23,sK24,sK33),
inference(cnf_transformation,[],[f477]) ).
cnf(c_174,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_177,plain,
( ~ para(sK22,sK22,sK22,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_180,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_184,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_189,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_205,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_238,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2297,plain,
( X0 != sK21
| X1 != sK26
| X2 != sK27
| X3 != sK37
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_164]) ).
cnf(c_2298,plain,
perp(sK11(sK26,sK27,sK37,sK21),sK26,sK26,sK21),
inference(unflattening,[status(thm)],[c_2297]) ).
cnf(c_8022,plain,
( ~ perp(sK22,sK20,sK22,sK21)
| perp(sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8051,plain,
( ~ perp(sK22,sK20,sK22,sK21)
| coll(sK10(sK22,sK22,sK21,sK20),sK21,sK22) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_8131,plain,
coll(sK27,sK21,sK26),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_8133,plain,
coll(sK24,sK20,sK23),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_8140,plain,
( ~ perp(sK22,sK21,sK22,sK20)
| coll(sK9(sK22,sK22,sK20,sK21),sK20,sK22) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_8151,plain,
coll(sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_169,c_50]) ).
cnf(c_8160,plain,
( ~ perp(sK11(sK26,sK27,sK37,sK21),sK26,sK26,sK21)
| ~ coll(sK21,X0,X1)
| perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,X0,X1),sK11(sK26,sK27,sK37,sK21),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_8163,plain,
( ~ perp(sK11(sK26,sK27,sK37,sK21),sK26,sK26,sK21)
| ~ coll(sK21,sK22,sK22)
| perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,sK22,sK22),sK11(sK26,sK27,sK37,sK21),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8160]) ).
cnf(c_8241,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_8273,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_8274,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_8241,c_72]) ).
cnf(c_8282,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_8274,c_71]) ).
cnf(c_8300,plain,
( ~ coll(sK27,sK26,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_8302,plain,
( ~ coll(sK24,sK23,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
cnf(c_8303,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK26,X0,sK27) ),
inference(superposition,[status(thm)],[c_8131,c_51]) ).
cnf(c_8305,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK23,X0,sK24) ),
inference(superposition,[status(thm)],[c_8133,c_51]) ).
cnf(c_8308,plain,
( ~ coll(sK23,sK24,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_8151,c_51]) ).
cnf(c_8330,plain,
( ~ coll(sK24,sK20,sK22)
| coll(sK23,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_8305]) ).
cnf(c_8332,plain,
( ~ coll(sK27,sK21,sK22)
| coll(sK26,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_8303]) ).
cnf(c_8390,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_163,c_8300]) ).
cnf(c_8391,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_8390,c_51]) ).
cnf(c_8394,plain,
( ~ coll(sK21,sK21,sK22)
| coll(sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_8391]) ).
cnf(c_8428,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_169,c_8302]) ).
cnf(c_8429,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_8428,c_51]) ).
cnf(c_8432,plain,
( ~ coll(sK20,sK20,sK22)
| coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8429]) ).
cnf(c_8490,plain,
( ~ coll(sK10(sK22,sK22,sK21,sK20),sK21,sK22)
| coll(sK21,sK10(sK22,sK22,sK21,sK20),sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_8564,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_8595,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_8151,c_8308]) ).
cnf(c_8610,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_8595,c_51]) ).
cnf(c_8682,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,X2,X1)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8273,c_116]) ).
cnf(c_8686,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_8282,c_116]) ).
cnf(c_9175,plain,
coll(sK27,sK21,sK26),
inference(resolution,[status(thm)],[c_49,c_163]) ).
cnf(c_9177,plain,
coll(sK24,sK20,sK23),
inference(resolution,[status(thm)],[c_49,c_169]) ).
cnf(c_9522,plain,
perp(sK22,sK20,sK21,sK22),
inference(resolution,[status(thm)],[c_55,c_174]) ).
cnf(c_9539,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[status(thm)],[c_56,c_174]) ).
cnf(c_9547,plain,
perp(sK21,sK22,sK22,sK20),
inference(resolution,[status(thm)],[c_9522,c_56]) ).
cnf(c_9624,plain,
( ~ coll(sK27,sK26,X0)
| coll(X0,sK21,sK27) ),
inference(resolution,[status(thm)],[c_51,c_163]) ).
cnf(c_9630,plain,
( ~ coll(sK27,sK21,X0)
| coll(X0,sK26,sK27) ),
inference(resolution,[status(thm)],[c_51,c_9175]) ).
cnf(c_9634,plain,
( ~ coll(sK24,sK20,X0)
| coll(X0,sK23,sK24) ),
inference(resolution,[status(thm)],[c_51,c_9177]) ).
cnf(c_9685,plain,
( ~ coll(sK9(sK22,sK22,sK20,sK21),sK20,sK22)
| coll(sK20,sK9(sK22,sK22,sK20,sK21),sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_9797,plain,
coll(sK21,sK21,sK27),
inference(resolution,[status(thm)],[c_9624,c_163]) ).
cnf(c_9811,plain,
( ~ coll(sK21,sK21,X0)
| coll(X0,sK27,sK21) ),
inference(resolution,[status(thm)],[c_9797,c_51]) ).
cnf(c_10073,plain,
coll(sK23,sK23,sK24),
inference(resolution,[status(thm)],[c_9634,c_9177]) ).
cnf(c_10084,plain,
coll(sK23,sK24,sK23),
inference(resolution,[status(thm)],[c_10073,c_49]) ).
cnf(c_10208,plain,
coll(sK27,sK27,sK21),
inference(resolution,[status(thm)],[c_9811,c_9797]) ).
cnf(c_10222,plain,
( ~ coll(sK21,sK10(sK22,sK22,sK21,sK20),X0)
| ~ coll(sK21,sK10(sK22,sK22,sK21,sK20),sK22)
| coll(X0,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_10223,plain,
( ~ coll(sK21,sK10(sK22,sK22,sK21,sK20),sK22)
| coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_10222]) ).
cnf(c_10281,plain,
coll(sK27,sK21,sK27),
inference(resolution,[status(thm)],[c_10208,c_49]) ).
cnf(c_10490,plain,
( ~ coll(sK23,sK24,X0)
| coll(X0,sK23,sK23) ),
inference(resolution,[status(thm)],[c_10084,c_51]) ).
cnf(c_10491,plain,
( ~ coll(sK23,sK24,sK22)
| coll(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_10490]) ).
cnf(c_10635,plain,
coll(sK27,sK26,sK27),
inference(resolution,[status(thm)],[c_10281,c_9630]) ).
cnf(c_11660,plain,
coll(sK26,sK27,sK27),
inference(resolution,[status(thm)],[c_10635,c_50]) ).
cnf(c_12477,plain,
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_57,c_9522]) ).
cnf(c_12479,plain,
( ~ perp(X0,X1,sK22,sK21)
| para(X0,X1,sK22,sK20) ),
inference(resolution,[status(thm)],[c_57,c_9539]) ).
cnf(c_12653,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[status(thm)],[c_12477,c_9547]) ).
cnf(c_12702,plain,
para(sK22,sK20,sK22,sK20),
inference(resolution,[status(thm)],[c_12479,c_174]) ).
cnf(c_12827,plain,
coll(sK22,sK20,sK20),
inference(resolution,[status(thm)],[c_115,c_12702]) ).
cnf(c_12828,plain,
coll(sK21,sK22,sK22),
inference(resolution,[status(thm)],[c_115,c_12653]) ).
cnf(c_12924,plain,
coll(sK20,sK22,sK20),
inference(resolution,[status(thm)],[c_12827,c_50]) ).
cnf(c_12996,plain,
coll(sK20,sK20,sK22),
inference(resolution,[status(thm)],[c_12924,c_49]) ).
cnf(c_14276,plain,
( ~ perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,X0,X1),sK11(sK26,sK27,sK37,sK21),X0,X1)
| perp(X0,X1,sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,X0,X1),sK11(sK26,sK27,sK37,sK21)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_14278,plain,
( ~ perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,sK22,sK22),sK11(sK26,sK27,sK37,sK21),sK22,sK22)
| perp(sK22,sK22,sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,sK22,sK22),sK11(sK26,sK27,sK37,sK21)) ),
inference(instantiation,[status(thm)],[c_14276]) ).
cnf(c_14279,plain,
( ~ perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,X0,X1),sK11(sK26,sK27,sK37,sK21),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,X0,X1),sK11(sK26,sK27,sK37,sK21))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_14280,plain,
( ~ perp(sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,sK22,sK22),sK11(sK26,sK27,sK37,sK21),sK22,sK22)
| ~ perp(sK22,sK22,sK16(sK11(sK26,sK27,sK37,sK21),sK21,sK26,sK22,sK22),sK11(sK26,sK27,sK37,sK21))
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14279]) ).
cnf(c_15521,plain,
( ~ coll(sK26,sK27,X0)
| coll(X0,sK27,sK26) ),
inference(resolution,[status(thm)],[c_11660,c_51]) ).
cnf(c_15522,plain,
( ~ coll(sK26,sK27,sK22)
| coll(sK22,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_15521]) ).
cnf(c_15678,plain,
( ~ coll(sK20,sK9(sK22,sK22,sK20,sK21),X0)
| ~ coll(sK20,sK9(sK22,sK22,sK20,sK21),sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_15679,plain,
( ~ coll(sK20,sK9(sK22,sK22,sK20,sK21),sK22)
| coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_15678]) ).
cnf(c_15827,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_174,c_56]) ).
cnf(c_16088,plain,
( ~ perp(sK22,sK21,X0,X1)
| para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_174,c_57]) ).
cnf(c_16090,plain,
( ~ perp(sK22,sK20,X0,X1)
| para(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_15827,c_57]) ).
cnf(c_16251,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_15827,c_16088]) ).
cnf(c_16257,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_16251,c_115]) ).
cnf(c_16480,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_16541,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_174,c_16090]) ).
cnf(c_16547,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_16541,c_115]) ).
cnf(c_16549,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_16547,c_50]) ).
cnf(c_16650,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_16549,c_49]) ).
cnf(c_17585,plain,
( ~ coll(sK27,X0,sK21)
| coll(sK27,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_17586,plain,
( ~ coll(sK27,sK22,sK21)
| coll(sK27,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_17585]) ).
cnf(c_17589,plain,
( ~ coll(sK24,X0,sK20)
| coll(sK24,sK20,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_17590,plain,
( ~ coll(sK24,sK22,sK20)
| coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_17589]) ).
cnf(c_17591,plain,
( ~ coll(sK26,X0,sK27)
| coll(sK26,sK27,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_17592,plain,
( ~ coll(sK26,sK22,sK27)
| coll(sK26,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_17591]) ).
cnf(c_17595,plain,
( ~ coll(sK23,X0,sK24)
| coll(sK23,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_17596,plain,
( ~ coll(sK23,sK22,sK24)
| coll(sK23,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_17595]) ).
cnf(c_17824,plain,
( ~ perp(sK23,sK24,sK27,sK26)
| perp(sK27,sK26,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_19443,plain,
( ~ para(sK23,sK24,X0,X1)
| ~ perp(X0,X1,sK27,sK26)
| perp(sK23,sK24,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_19444,plain,
( ~ para(sK23,sK24,sK22,sK22)
| ~ perp(sK22,sK22,sK27,sK26)
| perp(sK23,sK24,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_19443]) ).
cnf(c_19899,plain,
( cyclic(sK21,X0,sK22,sK22)
| coll(sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_16541,c_16480]) ).
cnf(c_19901,plain,
( cyclic(sK20,X0,sK22,sK22)
| coll(sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_16251,c_16480]) ).
cnf(c_19975,plain,
coll(sK22,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_19899,c_174,c_8051,c_8490,c_10223]) ).
cnf(c_19981,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_19975,c_49]) ).
cnf(c_20645,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_16257,c_50]) ).
cnf(c_21032,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_20645,c_49]) ).
cnf(c_24728,plain,
coll(sK22,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_19901,c_174,c_8022,c_8140,c_9685,c_15679]) ).
cnf(c_24733,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_24728,c_49]) ).
cnf(c_24954,plain,
( ~ coll(sK22,X0,sK26)
| ~ coll(sK22,X0,sK22)
| coll(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_24955,plain,
( ~ coll(sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK22)
| coll(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_24954]) ).
cnf(c_24996,plain,
coll(sK27,sK21,sK26),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_24998,plain,
coll(sK24,sK20,sK23),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_25092,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_174,c_56]) ).
cnf(c_25133,plain,
( ~ coll(sK27,sK26,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_25135,plain,
( ~ coll(sK24,sK23,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
cnf(c_25136,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK26,X0,sK27) ),
inference(superposition,[status(thm)],[c_24996,c_51]) ).
cnf(c_25138,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK23,X0,sK24) ),
inference(superposition,[status(thm)],[c_24998,c_51]) ).
cnf(c_25184,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_163,c_25133]) ).
cnf(c_25186,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_25184,c_51]) ).
cnf(c_25198,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_169,c_25135]) ).
cnf(c_25200,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_25198,c_51]) ).
cnf(c_25310,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_21032,c_25200]) ).
cnf(c_25414,plain,
( ~ perp(sK22,sK20,X0,X1)
| para(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_25092,c_57]) ).
cnf(c_25812,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_174,c_25414]) ).
cnf(c_25818,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_25812,c_115]) ).
cnf(c_25820,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_25818,c_50]) ).
cnf(c_27291,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_25310,c_50]) ).
cnf(c_27292,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_25310,c_49]) ).
cnf(c_27394,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_25820,c_49]) ).
cnf(c_27546,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_27394,c_25186]) ).
cnf(c_27628,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_27546,c_50]) ).
cnf(c_27629,plain,
coll(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_27546,c_49]) ).
cnf(c_28378,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_27291,c_49]) ).
cnf(c_28475,plain,
( ~ midp(sK23,X0,X1)
| ~ midp(sK24,X0,X2)
| para(sK23,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_28476,plain,
( ~ midp(sK23,sK22,sK22)
| ~ midp(sK24,sK22,sK22)
| para(sK23,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_28475]) ).
cnf(c_28542,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_27292,c_51]) ).
cnf(c_28545,plain,
coll(sK23,sK22,sK24),
inference(superposition,[status(thm)],[c_27292,c_25138]) ).
cnf(c_28547,plain,
( ~ coll(sK24,sK20,sK22)
| coll(sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_28542]) ).
cnf(c_28560,plain,
coll(sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_27628,c_49]) ).
cnf(c_28564,plain,
coll(sK26,sK22,sK27),
inference(superposition,[status(thm)],[c_27629,c_25136]) ).
cnf(c_28648,plain,
coll(sK23,sK24,sK22),
inference(superposition,[status(thm)],[c_28545,c_49]) ).
cnf(c_28652,plain,
coll(sK26,sK27,sK22),
inference(superposition,[status(thm)],[c_28564,c_49]) ).
cnf(c_29145,plain,
( ~ perp(X0,X1,sK27,sK26)
| perp(sK27,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_29577,plain,
( ~ coll(sK22,sK20,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_28378,c_51]) ).
cnf(c_29580,plain,
( ~ coll(sK22,sK20,sK22)
| coll(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_29577]) ).
cnf(c_30891,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK27,X0,sK22) ),
inference(superposition,[status(thm)],[c_28560,c_51]) ).
cnf(c_30896,plain,
( ~ coll(sK22,sK21,sK22)
| coll(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_30891]) ).
cnf(c_31419,plain,
( ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK22)
| coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_31420,plain,
( ~ coll(sK22,sK22,sK23)
| ~ coll(sK22,sK22,sK22)
| coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_31419]) ).
cnf(c_31919,plain,
( ~ coll(sK23,sK24,X0)
| coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_28648,c_51]) ).
cnf(c_31924,plain,
( ~ coll(sK23,sK24,sK22)
| coll(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_31919]) ).
cnf(c_32441,plain,
( ~ coll(sK26,sK27,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_28652,c_51]) ).
cnf(c_32446,plain,
( ~ coll(sK26,sK27,sK22)
| coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_32441]) ).
cnf(c_40323,plain,
( ~ para(X0,X1,X2,sK23)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK23)
| midp(X1,X3,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_40324,plain,
( ~ para(sK22,sK22,sK22,sK23)
| ~ coll(sK22,sK22,sK23)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_40323]) ).
cnf(c_41148,plain,
( ~ para(X0,sK23,X0,X1)
| para(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_41149,plain,
( ~ para(sK22,sK23,sK22,sK22)
| para(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_41148]) ).
cnf(c_44806,plain,
( ~ coll(sK22,sK20,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_24733,c_51]) ).
cnf(c_47684,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_21032,c_8610]) ).
cnf(c_47693,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_47684,c_50]) ).
cnf(c_48340,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_47693,c_49]) ).
cnf(c_49036,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_48340,c_44806]) ).
cnf(c_60421,plain,
( ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,sK26,X1,sK26)
| perp(X0,X1,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_60422,plain,
( ~ cong(sK22,sK27,sK22,sK27)
| ~ cong(sK22,sK26,sK22,sK26)
| perp(sK22,sK22,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_60421]) ).
cnf(c_60451,plain,
( ~ perp(sK16(X0,X1,X2,sK27,sK26),X0,sK27,sK26)
| perp(sK27,sK26,sK16(X0,X1,X2,sK27,sK26),X0) ),
inference(instantiation,[status(thm)],[c_29145]) ).
cnf(c_60452,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,sK27,sK26)
| perp(sK16(X0,X2,X1,sK27,sK26),X0,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_60453,plain,
( ~ perp(sK16(sK22,sK22,sK22,sK27,sK26),sK22,sK27,sK26)
| perp(sK27,sK26,sK16(sK22,sK22,sK22,sK27,sK26),sK22) ),
inference(instantiation,[status(thm)],[c_60451]) ).
cnf(c_60454,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK27,sK26)
| perp(sK16(sK22,sK22,sK22,sK27,sK26),sK22,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_60452]) ).
cnf(c_61611,plain,
( ~ para(sK27,sK26,X0,X1)
| para(sK27,sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_61615,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK27,sK26,X0,X1)
| para(sK27,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_61626,plain,
( ~ para(sK27,sK26,X0,X1)
| eqangle(sK27,sK26,sK23,sK24,X0,X1,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_61706,plain,
( ~ para(sK27,sK26,sK27,sK26)
| para(sK27,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_61611]) ).
cnf(c_61736,plain,
( ~ eqangle(sK23,sK24,X0,X1,X2,X3,X0,X1)
| para(sK23,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_61768,plain,
( ~ para(sK27,sK26,X0,X1)
| para(X0,X1,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_61826,plain,
( ~ coll(sK26,X0,X0)
| ~ midp(X0,sK26,sK26)
| midp(sK26,X0,X0) ),
inference(instantiation,[status(thm)],[c_8686]) ).
cnf(c_61827,plain,
( ~ coll(sK26,sK22,sK22)
| ~ midp(sK22,sK26,sK26)
| midp(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_61826]) ).
cnf(c_61833,plain,
( ~ para(X0,X1,X2,sK26)
| ~ para(X0,sK26,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK26,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_63015,plain,
( ~ para(sK26,sK27,X0,X1)
| para(sK26,sK27,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_63126,plain,
( ~ coll(sK24,X0,X0)
| ~ midp(X0,sK24,sK24)
| midp(sK24,X0,X0) ),
inference(instantiation,[status(thm)],[c_8686]) ).
cnf(c_63127,plain,
( ~ coll(sK24,sK22,sK22)
| ~ midp(sK22,sK24,sK24)
| midp(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_63126]) ).
cnf(c_63215,plain,
( ~ para(X0,X1,X2,sK24)
| ~ para(X0,sK24,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK24,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_63532,plain,
( ~ perp(X0,X0,X0,X1)
| ~ midp(sK26,X0,X1)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_63534,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ midp(sK26,sK22,sK22)
| cong(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_63532]) ).
cnf(c_64174,plain,
( ~ cyclic(sK26,X0,X1,X1)
| para(X1,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_8564]) ).
cnf(c_64176,plain,
( ~ cyclic(sK26,sK22,sK22,sK22)
| para(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_64174]) ).
cnf(c_64494,plain,
( ~ eqangle(X0,X1,sK23,sK24,X2,X3,X4,X5)
| eqangle(sK23,sK24,X0,X1,X4,X5,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_64878,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK26,X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_64880,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_64878]) ).
cnf(c_66962,plain,
( ~ coll(sK27,X0,X0)
| ~ midp(X0,sK27,sK27)
| midp(sK27,X0,X0) ),
inference(instantiation,[status(thm)],[c_8686]) ).
cnf(c_66963,plain,
( ~ coll(sK27,sK22,sK22)
| ~ midp(sK22,sK27,sK27)
| midp(sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_66962]) ).
cnf(c_68795,plain,
( ~ cyclic(X0,sK26,X1,X1)
| cyclic(sK26,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_68796,plain,
( ~ cyclic(sK22,sK26,sK22,sK22)
| cyclic(sK26,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_68795]) ).
cnf(c_69862,plain,
( ~ perp(X0,X0,X0,X1)
| ~ midp(sK27,X0,X1)
| cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_69864,plain,
( ~ perp(sK22,sK22,sK22,sK22)
| ~ midp(sK27,sK22,sK22)
| cong(sK22,sK27,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_69862]) ).
cnf(c_71315,plain,
( ~ perp(sK16(X0,X1,X2,sK27,sK26),X0,X3,X4)
| ~ perp(sK27,sK26,sK16(X0,X1,X2,sK27,sK26),X0)
| para(sK27,sK26,X3,X4) ),
inference(instantiation,[status(thm)],[c_61615]) ).
cnf(c_72636,plain,
( ~ cyclic(sK24,X0,X1,X1)
| para(X1,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_8564]) ).
cnf(c_72638,plain,
( ~ cyclic(sK24,sK22,sK22,sK22)
| para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_72636]) ).
cnf(c_72656,plain,
( ~ midp(X0,X1,X0)
| ~ midp(sK23,X1,X2)
| para(X0,sK23,X0,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_72657,plain,
( ~ midp(sK23,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| para(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72656]) ).
cnf(c_72658,plain,
( ~ midp(X0,X1,X1)
| ~ midp(X0,sK23,X2)
| para(X1,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_72659,plain,
( ~ midp(sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK22)
| para(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72658]) ).
cnf(c_72960,plain,
( ~ eqangle(X0,X1,X0,sK26,X2,X1,X2,sK26)
| ~ coll(X0,X2,sK26)
| cyclic(X1,sK26,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_72961,plain,
( ~ eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK26)
| cyclic(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72960]) ).
cnf(c_76657,plain,
( ~ perp(sK16(X0,X1,X2,sK27,sK26),X0,sK27,sK26)
| ~ perp(sK27,sK26,sK16(X0,X1,X2,sK27,sK26),X0)
| para(sK27,sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_71315]) ).
cnf(c_76658,plain,
( ~ perp(sK16(sK22,sK22,sK22,sK27,sK26),sK22,sK27,sK26)
| ~ perp(sK27,sK26,sK16(sK22,sK22,sK22,sK27,sK26),sK22)
| para(sK27,sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_76657]) ).
cnf(c_78252,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK24,X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_78254,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK24,sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_78252]) ).
cnf(c_79346,plain,
( ~ eqangle(sK27,sK26,sK23,sK24,sK27,sK26,sK23,sK24)
| eqangle(sK23,sK24,sK27,sK26,sK23,sK24,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_64494]) ).
cnf(c_79372,plain,
( ~ para(sK27,sK26,sK27,sK26)
| eqangle(sK27,sK26,sK23,sK24,sK27,sK26,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_61626]) ).
cnf(c_79411,plain,
( ~ para(sK27,sK26,sK26,sK27)
| para(sK26,sK27,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_61768]) ).
cnf(c_80873,plain,
( ~ para(X0,sK26,X0,sK26)
| ~ midp(X1,X0,X0)
| midp(X1,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_61833]) ).
cnf(c_80874,plain,
( ~ para(sK22,sK26,sK22,sK26)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_80873]) ).
cnf(c_85606,plain,
( ~ eqangle(sK23,sK24,sK27,sK26,sK23,sK24,sK27,sK26)
| para(sK23,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_61736]) ).
cnf(c_85874,plain,
( ~ para(sK26,sK27,sK27,sK26)
| para(sK26,sK27,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_63015]) ).
cnf(c_92283,plain,
( ~ para(sK23,sK24,sK23,sK24)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_63215]) ).
cnf(c_92284,plain,
( ~ para(sK23,sK24,sK23,sK24)
| ~ midp(sK22,sK23,sK23)
| midp(sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_92283]) ).
cnf(c_97824,plain,
( ~ coll(X0,sK23,X1)
| ~ midp(X0,X1,sK23)
| midp(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_8682]) ).
cnf(c_97825,plain,
( ~ coll(sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK23)
| midp(sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_97824]) ).
cnf(c_97853,plain,
( ~ midp(sK23,X0,X0)
| ~ coll(X0,sK23,sK23)
| midp(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_8686]) ).
cnf(c_97855,plain,
( ~ coll(sK22,sK23,sK23)
| ~ midp(sK23,sK22,sK22)
| midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_97853]) ).
cnf(c_105249,plain,
( ~ para(X0,sK23,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK23,X3,X2)
| midp(sK23,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_105250,plain,
( ~ para(sK22,sK23,sK22,sK22)
| ~ coll(sK23,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| midp(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105249]) ).
cnf(c_105262,plain,
( ~ coll(sK23,X0,X0)
| ~ midp(X0,sK23,sK23)
| midp(sK23,X0,X0) ),
inference(instantiation,[status(thm)],[c_8686]) ).
cnf(c_105263,plain,
( ~ coll(sK23,sK22,sK22)
| ~ midp(sK22,sK23,sK23)
| midp(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105262]) ).
cnf(c_142866,plain,
coll(sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_169,c_50]) ).
cnf(c_142942,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_174,c_56]) ).
cnf(c_142994,plain,
( ~ coll(sK23,sK24,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_142866,c_51]) ).
cnf(c_143139,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_142866,c_142994]) ).
cnf(c_143142,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_143139,c_49]) ).
cnf(c_143167,plain,
( ~ coll(sK21,sK26,sK37)
| perp(sK26,sK27,sK27,sK37) ),
inference(superposition,[status(thm)],[c_164,c_102]) ).
cnf(c_143171,plain,
( ~ coll(sK20,sK23,sK33)
| perp(sK23,sK24,sK24,sK33) ),
inference(superposition,[status(thm)],[c_170,c_102]) ).
cnf(c_143218,plain,
( ~ coll(sK21,sK26,sK37)
| perp(sK27,sK37,sK26,sK27) ),
inference(superposition,[status(thm)],[c_143167,c_56]) ).
cnf(c_143242,plain,
( ~ coll(sK20,sK23,sK33)
| perp(sK24,sK33,sK23,sK24) ),
inference(superposition,[status(thm)],[c_143171,c_56]) ).
cnf(c_143267,plain,
( ~ perp(sK22,sK21,X0,X1)
| para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_174,c_57]) ).
cnf(c_143268,plain,
( ~ perp(sK27,sK37,X0,X1)
| ~ coll(sK21,sK26,sK37)
| para(sK26,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_143167,c_57]) ).
cnf(c_143272,plain,
( ~ perp(sK24,sK33,X0,X1)
| ~ coll(sK20,sK23,sK33)
| para(sK23,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_143171,c_57]) ).
cnf(c_143321,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_142942,c_143267]) ).
cnf(c_143665,plain,
( ~ coll(sK20,X0,sK20)
| ~ midp(sK22,X0,sK22)
| midp(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_143321,c_94]) ).
cnf(c_143870,plain,
( ~ coll(sK21,sK26,sK37)
| para(sK26,sK27,sK26,sK27) ),
inference(superposition,[status(thm)],[c_143218,c_143268]) ).
cnf(c_143882,plain,
( ~ coll(sK20,sK23,sK33)
| para(sK23,sK24,sK23,sK24) ),
inference(superposition,[status(thm)],[c_143242,c_143272]) ).
cnf(c_146301,plain,
para(sK26,sK27,sK26,sK27),
inference(global_subsumption_just,[status(thm)],[c_143870,c_177,c_184,c_189,c_205,c_238,c_2298,c_8163,c_8332,c_8394,c_12828,c_14278,c_14280,c_15522,c_16650,c_17586,c_17592,c_60453,c_60454,c_61706,c_76658,c_79411,c_85874]) ).
cnf(c_146303,plain,
( ~ para(sK26,sK27,sK26,sK27)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK27,sK27) ),
inference(superposition,[status(thm)],[c_146301,c_113]) ).
cnf(c_146311,plain,
( ~ midp(X0,sK26,sK26)
| midp(X0,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146303,c_146301]) ).
cnf(c_146312,plain,
( ~ midp(sK22,sK26,sK26)
| midp(sK22,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_146311]) ).
cnf(c_146393,plain,
para(sK23,sK24,sK23,sK24),
inference(global_subsumption_just,[status(thm)],[c_143882,c_177,c_184,c_189,c_205,c_238,c_2298,c_8163,c_8332,c_8394,c_12828,c_14278,c_14280,c_15522,c_16650,c_17586,c_17592,c_60453,c_60454,c_76658,c_79346,c_79372,c_85606]) ).
cnf(c_146400,plain,
para(sK23,sK24,sK24,sK23),
inference(superposition,[status(thm)],[c_146393,c_52]) ).
cnf(c_147130,plain,
( ~ midp(sK22,sK23,sK22)
| midp(sK20,sK23,sK20) ),
inference(superposition,[status(thm)],[c_143142,c_143665]) ).
cnf(c_147186,plain,
~ midp(sK22,sK23,sK22),
inference(global_subsumption_just,[status(thm)],[c_147130,c_162,c_177,c_180,c_184,c_189,c_205,c_238,c_2298,c_8163,c_8330,c_8332,c_8394,c_8432,c_10491,c_12828,c_12996,c_14278,c_14280,c_15522,c_16650,c_17586,c_17590,c_17592,c_17596,c_17824,c_19444,c_19981,c_24733,c_24955,c_28476,c_29580,c_30896,c_31420,c_31924,c_32446,c_60422,c_60453,c_60454,c_61827,c_63127,c_63534,c_64176,c_64880,c_66963,c_68796,c_69864,c_72659,c_72961,c_76658,c_79346,c_79372,c_80874,c_85606,c_92284,c_97855,c_105250,c_146312]) ).
cnf(c_150721,plain,
para(sK24,sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_146400,c_53]) ).
cnf(c_153612,plain,
para(sK24,sK23,sK24,sK23),
inference(superposition,[status(thm)],[c_150721,c_52]) ).
cnf(c_156367,plain,
( ~ para(sK24,sK23,sK24,sK23)
| ~ midp(X0,sK24,sK24)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_153612,c_113]) ).
cnf(c_156375,plain,
( ~ midp(X0,sK24,sK24)
| midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156367,c_153612]) ).
cnf(c_156376,plain,
( ~ midp(sK22,sK24,sK24)
| midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_156375]) ).
cnf(c_195206,plain,
( ~ para(X0,sK24,X1,sK24)
| ~ midp(X2,X0,X1)
| midp(X2,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_195207,plain,
( ~ para(sK22,sK24,sK22,sK24)
| ~ midp(sK22,sK22,sK22)
| midp(sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_195206]) ).
cnf(c_202345,plain,
( ~ cyclic(X0,sK24,X1,X1)
| cyclic(sK24,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_202346,plain,
( ~ cyclic(sK22,sK24,sK22,sK22)
| cyclic(sK24,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_202345]) ).
cnf(c_205436,plain,
( ~ eqangle(X0,X1,X0,sK24,X2,X1,X2,sK24)
| ~ coll(X0,X2,sK24)
| cyclic(X1,sK24,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_205437,plain,
( ~ eqangle(sK22,sK22,sK22,sK24,sK22,sK22,sK22,sK24)
| ~ coll(sK22,sK22,sK24)
| cyclic(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_205436]) ).
cnf(c_205438,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_205437,c_202346,c_195207,c_156376,c_147186,c_105263,c_97825,c_78254,c_72657,c_72638,c_49036,c_41149,c_40324,c_31924,c_31420,c_28547,c_17596,c_17590,c_14280,c_14278,c_12996,c_12828,c_8432,c_8330,c_8163,c_2298,c_238,c_205,c_184,c_180,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:14:48 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 95.85/13.71 % SZS status Started for theBenchmark.p
% 95.85/13.71 % SZS status Theorem for theBenchmark.p
% 95.85/13.71
% 95.85/13.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 95.85/13.71
% 95.85/13.71 ------ iProver source info
% 95.85/13.71
% 95.85/13.71 git: date: 2024-05-02 19:28:25 +0000
% 95.85/13.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 95.85/13.71 git: non_committed_changes: false
% 95.85/13.71
% 95.85/13.71 ------ Parsing...
% 95.85/13.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 95.85/13.71
% 95.85/13.71 ------ 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
% 95.85/13.71
% 95.85/13.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 95.85/13.71
% 95.85/13.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 95.85/13.71 ------ Proving...
% 95.85/13.71 ------ Problem Properties
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71 clauses 125
% 95.85/13.71 conjectures 13
% 95.85/13.71 EPR 88
% 95.85/13.71 Horn 115
% 95.85/13.71 unary 13
% 95.85/13.71 binary 37
% 95.85/13.71 lits 341
% 95.85/13.71 lits eq 4
% 95.85/13.71 fd_pure 0
% 95.85/13.71 fd_pseudo 0
% 95.85/13.71 fd_cond 0
% 95.85/13.71 fd_pseudo_cond 4
% 95.85/13.71 AC symbols 0
% 95.85/13.71
% 95.85/13.71 ------ Input Options Time Limit: Unbounded
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71 ------
% 95.85/13.71 Current options:
% 95.85/13.71 ------
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71 ------ Proving...
% 95.85/13.71
% 95.85/13.71
% 95.85/13.71 % SZS status Theorem for theBenchmark.p
% 95.85/13.71
% 95.85/13.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 95.85/13.71
% 95.85/13.72
%------------------------------------------------------------------------------