TSTP Solution File: GEO545+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 23:11:40 EDT 2023
% Result : Theorem 61.93s 9.28s
% Output : CNFRefutation 61.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 38
% Syntax : Number of formulae : 407 ( 30 unt; 0 def)
% Number of atoms : 1249 ( 0 equ)
% Maximal formula atoms : 56 ( 3 avg)
% Number of connectives : 1380 ( 538 ~; 529 |; 253 &)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 1331 ( 0 sgn; 815 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
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(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
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(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
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(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(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
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(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/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/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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( perp(X13,X2,X32,X20)
& midp(X32,X13,X2)
& perp(X1,X2,X31,X20)
& midp(X31,X1,X2)
& perp(X1,X13,X30,X20)
& midp(X30,X1,X13)
& perp(X13,X2,X29,X19)
& midp(X29,X13,X2)
& perp(X0,X2,X28,X19)
& midp(X28,X0,X2)
& perp(X0,X13,X27,X19)
& midp(X27,X0,X13)
& perp(X1,X13,X26,X18)
& midp(X26,X1,X13)
& perp(X0,X13,X25,X18)
& midp(X25,X0,X13)
& perp(X0,X1,X24,X18)
& midp(X24,X0,X1)
& perp(X1,X2,X23,X7)
& midp(X23,X1,X2)
& perp(X0,X2,X22,X7)
& midp(X22,X0,X2)
& perp(X0,X1,X21,X7)
& midp(X21,X0,X1)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13) )
=> perp(X20,X7,X19,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( perp(X13,X2,X32,X20)
& midp(X32,X13,X2)
& perp(X1,X2,X31,X20)
& midp(X31,X1,X2)
& perp(X1,X13,X30,X20)
& midp(X30,X1,X13)
& perp(X13,X2,X29,X19)
& midp(X29,X13,X2)
& perp(X0,X2,X28,X19)
& midp(X28,X0,X2)
& perp(X0,X13,X27,X19)
& midp(X27,X0,X13)
& perp(X1,X13,X26,X18)
& midp(X26,X1,X13)
& perp(X0,X13,X25,X18)
& midp(X25,X0,X13)
& perp(X0,X1,X24,X18)
& midp(X24,X0,X1)
& perp(X1,X2,X23,X7)
& midp(X23,X1,X2)
& perp(X0,X2,X22,X7)
& midp(X22,X0,X2)
& perp(X0,X1,X21,X7)
& midp(X21,X0,X1)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13) )
=> perp(X20,X7,X19,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
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(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
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(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(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
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(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> perp(X7,X4,X6,X5) ),
inference(rectify,[],[f96]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(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(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
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(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(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(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
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(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(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ perp(X7,X4,X6,X5)
& perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) ),
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,X18,X19] :
( ~ perp(X7,X4,X6,X5)
& perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ perp(X7,X4,X6,X5)
& perp(X3,X2,X19,X7)
& midp(X19,X3,X2)
& perp(X1,X2,X18,X7)
& midp(X18,X1,X2)
& perp(X1,X3,X17,X7)
& midp(X17,X1,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X0,X2,X15,X6)
& midp(X15,X0,X2)
& perp(X0,X3,X14,X6)
& midp(X14,X0,X3)
& perp(X1,X3,X13,X5)
& midp(X13,X1,X3)
& perp(X0,X3,X12,X5)
& midp(X12,X0,X3)
& perp(X0,X1,X11,X5)
& midp(X11,X0,X1)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> ( ~ perp(sK27,sK24,sK26,sK25)
& perp(sK23,sK22,sK39,sK27)
& midp(sK39,sK23,sK22)
& perp(sK21,sK22,sK38,sK27)
& midp(sK38,sK21,sK22)
& perp(sK21,sK23,sK37,sK27)
& midp(sK37,sK21,sK23)
& perp(sK23,sK22,sK36,sK26)
& midp(sK36,sK23,sK22)
& perp(sK20,sK22,sK35,sK26)
& midp(sK35,sK20,sK22)
& perp(sK20,sK23,sK34,sK26)
& midp(sK34,sK20,sK23)
& perp(sK21,sK23,sK33,sK25)
& midp(sK33,sK21,sK23)
& perp(sK20,sK23,sK32,sK25)
& midp(sK32,sK20,sK23)
& perp(sK20,sK21,sK31,sK25)
& midp(sK31,sK20,sK21)
& perp(sK21,sK22,sK30,sK24)
& midp(sK30,sK21,sK22)
& perp(sK20,sK22,sK29,sK24)
& midp(sK29,sK20,sK22)
& perp(sK20,sK21,sK28,sK24)
& midp(sK28,sK20,sK21)
& perp(sK21,sK22,sK20,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK20,sK21,sK22,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK27,sK24,sK26,sK25)
& perp(sK23,sK22,sK39,sK27)
& midp(sK39,sK23,sK22)
& perp(sK21,sK22,sK38,sK27)
& midp(sK38,sK21,sK22)
& perp(sK21,sK23,sK37,sK27)
& midp(sK37,sK21,sK23)
& perp(sK23,sK22,sK36,sK26)
& midp(sK36,sK23,sK22)
& perp(sK20,sK22,sK35,sK26)
& midp(sK35,sK20,sK22)
& perp(sK20,sK23,sK34,sK26)
& midp(sK34,sK20,sK23)
& perp(sK21,sK23,sK33,sK25)
& midp(sK33,sK21,sK23)
& perp(sK20,sK23,sK32,sK25)
& midp(sK32,sK20,sK23)
& perp(sK20,sK21,sK31,sK25)
& midp(sK31,sK20,sK21)
& perp(sK21,sK22,sK30,sK24)
& midp(sK30,sK21,sK22)
& perp(sK20,sK22,sK29,sK24)
& midp(sK29,sK20,sK22)
& perp(sK20,sK21,sK28,sK24)
& midp(sK28,sK20,sK21)
& perp(sK21,sK22,sK20,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK20,sK21,sK22,sK23) ),
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,sK38,sK39])],[f320,f358]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(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(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
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(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(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(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
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(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(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f490,plain,
midp(sK35,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f492,plain,
midp(sK36,sK23,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f493,plain,
perp(sK23,sK22,sK36,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f498,plain,
midp(sK39,sK23,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f499,plain,
perp(sK23,sK22,sK39,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f500,plain,
~ perp(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f359]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
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_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_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_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
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_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_162,negated_conjecture,
~ perp(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f500]) ).
cnf(c_163,negated_conjecture,
perp(sK23,sK22,sK39,sK27),
inference(cnf_transformation,[],[f499]) ).
cnf(c_164,negated_conjecture,
midp(sK39,sK23,sK22),
inference(cnf_transformation,[],[f498]) ).
cnf(c_169,negated_conjecture,
perp(sK23,sK22,sK36,sK26),
inference(cnf_transformation,[],[f493]) ).
cnf(c_170,negated_conjecture,
midp(sK36,sK23,sK22),
inference(cnf_transformation,[],[f492]) ).
cnf(c_172,negated_conjecture,
midp(sK35,sK20,sK22),
inference(cnf_transformation,[],[f490]) ).
cnf(c_192,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_195,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_199,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_204,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_220,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_253,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_6102,plain,
perp(sK23,sK22,sK27,sK39),
inference(superposition,[status(thm)],[c_163,c_55]) ).
cnf(c_6105,plain,
perp(sK23,sK22,sK26,sK36),
inference(superposition,[status(thm)],[c_169,c_55]) ).
cnf(c_6141,plain,
perp(sK39,sK27,sK23,sK22),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_6159,plain,
perp(sK26,sK36,sK23,sK22),
inference(superposition,[status(thm)],[c_6105,c_56]) ).
cnf(c_6426,plain,
( ~ midp(sK39,sK23,sK22)
| cong(sK39,sK23,sK39,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_6805,plain,
( ~ midp(sK35,X0,X1)
| ~ midp(sK35,sK20,sK22)
| para(sK20,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_7025,plain,
( ~ midp(sK27,sK23,sK22)
| cong(sK39,sK23,sK39,sK22) ),
inference(superposition,[status(thm)],[c_6141,c_104]) ).
cnf(c_7043,plain,
( ~ midp(sK36,sK23,sK22)
| cong(sK26,sK23,sK26,sK22) ),
inference(superposition,[status(thm)],[c_6159,c_104]) ).
cnf(c_7058,plain,
cong(sK26,sK23,sK26,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_7043,c_170]) ).
cnf(c_7342,plain,
cong(sK26,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_7058,c_72]) ).
cnf(c_7433,plain,
( ~ perp(sK23,sK22,X0,X1)
| para(sK39,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_6141,c_57]) ).
cnf(c_11208,plain,
cong(sK26,sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_7342,c_71]) ).
cnf(c_19731,plain,
( ~ midp(sK35,sK20,sK22)
| para(sK20,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6805]) ).
cnf(c_21648,plain,
cong(sK23,sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_11208,c_72]) ).
cnf(c_22702,plain,
( ~ para(sK20,sK20,sK22,sK22)
| para(sK22,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_23262,plain,
cong(sK39,sK23,sK39,sK22),
inference(global_subsumption_just,[status(thm)],[c_7025,c_164,c_6426]) ).
cnf(c_23272,plain,
cong(sK39,sK22,sK39,sK23),
inference(superposition,[status(thm)],[c_23262,c_72]) ).
cnf(c_26469,plain,
( ~ para(sK22,sK22,X0,X1)
| ~ para(sK20,sK20,sK22,sK22)
| para(sK20,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_26470,plain,
( ~ para(sK22,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK22,sK22)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_26469]) ).
cnf(c_27657,plain,
cong(sK23,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_21648,c_71]) ).
cnf(c_28304,plain,
cong(sK39,sK22,sK23,sK39),
inference(superposition,[status(thm)],[c_23272,c_71]) ).
cnf(c_31042,plain,
( ~ para(sK27,sK24,X0,X1)
| ~ perp(X0,X1,sK26,sK25)
| perp(sK27,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_31043,plain,
( ~ para(sK27,sK24,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK25)
| perp(sK27,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_31042]) ).
cnf(c_34908,plain,
cong(sK23,sK39,sK39,sK22),
inference(superposition,[status(thm)],[c_28304,c_72]) ).
cnf(c_37767,plain,
cong(sK23,sK39,sK22,sK39),
inference(superposition,[status(thm)],[c_34908,c_71]) ).
cnf(c_61263,plain,
para(sK39,sK27,sK27,sK39),
inference(superposition,[status(thm)],[c_6102,c_7433]) ).
cnf(c_61355,plain,
para(sK27,sK39,sK39,sK27),
inference(superposition,[status(thm)],[c_61263,c_53]) ).
cnf(c_65718,plain,
para(sK27,sK39,sK27,sK39),
inference(superposition,[status(thm)],[c_61355,c_52]) ).
cnf(c_67201,plain,
( ~ para(sK27,sK39,sK27,sK39)
| ~ midp(X0,sK27,sK27)
| midp(X0,sK39,sK39) ),
inference(superposition,[status(thm)],[c_65718,c_113]) ).
cnf(c_67211,plain,
( ~ midp(X0,sK27,sK27)
| midp(X0,sK39,sK39) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67201,c_65718]) ).
cnf(c_67214,plain,
( ~ midp(sK20,sK27,sK27)
| midp(sK20,sK39,sK39) ),
inference(instantiation,[status(thm)],[c_67211]) ).
cnf(c_96137,plain,
( ~ eqangle(sK27,sK24,X0,X1,X2,X3,X0,X1)
| para(sK27,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_96138,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(sK27,sK24,X0,X1)
| para(sK27,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_96141,plain,
( ~ midp(X0,sK27,X1)
| ~ midp(X0,sK24,X2)
| para(sK27,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_96149,plain,
( ~ para(sK27,sK24,X0,X1)
| eqangle(sK27,sK24,sK26,sK25,X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_96228,plain,
( ~ eqangle(sK26,sK25,X0,X1,X2,X3,X0,X1)
| para(sK26,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_96309,plain,
( ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_96310,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK25,sK20,sK25)
| perp(sK20,sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_96309]) ).
cnf(c_96358,plain,
( ~ cong(sK27,X0,sK27,X1)
| ~ coll(sK27,X0,X1)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_96359,plain,
( ~ cong(sK27,sK20,sK27,sK20)
| ~ coll(sK27,sK20,sK20)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_96358]) ).
cnf(c_96365,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK27,X0,X2)
| midp(sK27,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_96368,plain,
( ~ cong(X0,sK27,X0,X1)
| ~ coll(X0,sK27,X1)
| midp(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_96370,plain,
( ~ midp(X0,X1,sK27)
| midp(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_96371,plain,
( ~ midp(sK20,sK20,sK27)
| midp(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_96370]) ).
cnf(c_96375,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK27,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_96435,plain,
( ~ eqangle(sK27,sK24,sK26,sK25,X0,X1,X2,X3)
| eqangle(sK26,sK25,sK27,sK24,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_96543,plain,
( ~ perp(X0,X1,sK27,sK24)
| perp(sK27,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_96609,plain,
( ~ eqangle(X0,X1,sK27,sK24,X2,X3,X4,X5)
| eqangle(sK27,sK24,X0,X1,X4,X5,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_96654,plain,
( ~ midp(sK27,X0,X1)
| cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_96661,plain,
( ~ cong(X0,X1,sK27,X2)
| ~ cong(sK27,X3,X0,X1)
| cong(sK27,X3,sK27,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_96662,plain,
( ~ cong(sK27,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK27,sK20)
| cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_96661]) ).
cnf(c_96665,plain,
( ~ perp(sK27,sK27,sK27,X0)
| ~ midp(X1,sK27,X0)
| cong(sK27,X1,sK27,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_96847,plain,
( ~ para(X0,sK26,X1,sK27)
| ~ midp(X0,X2,X1)
| ~ coll(sK26,X2,sK27)
| midp(sK26,X2,sK27) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_96848,plain,
( ~ para(sK20,sK26,sK20,sK27)
| ~ coll(sK26,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| midp(sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_96847]) ).
cnf(c_96864,plain,
( ~ para(sK27,sK24,sK27,sK24)
| eqangle(sK27,sK24,sK26,sK25,sK27,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_96149]) ).
cnf(c_97108,plain,
( ~ cong(X0,X1,X0,sK27)
| ~ coll(X0,X1,sK27)
| midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_97109,plain,
( ~ cong(sK20,sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_97108]) ).
cnf(c_97116,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,X1,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_97674,plain,
( ~ perp(X0,sK27,sK27,sK24)
| perp(sK27,sK24,X0,sK27) ),
inference(instantiation,[status(thm)],[c_96543]) ).
cnf(c_97801,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK26,X0,X2)
| midp(sK26,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_97830,plain,
( ~ cong(sK27,X0,sK27,X0)
| ~ cong(sK27,sK27,sK27,sK27)
| perp(sK27,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_97838,plain,
( ~ perp(X0,X1,sK27,X2)
| ~ para(sK27,sK27,X0,X1)
| perp(sK27,sK27,sK27,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_97839,plain,
( ~ para(sK27,sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK27,sK20)
| perp(sK27,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_97838]) ).
cnf(c_97962,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(sK26,X0,X2)
| cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_97984,plain,
( ~ para(sK27,X0,sK27,X1)
| coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_97987,plain,
( ~ para(sK27,sK20,sK27,sK20)
| coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_97984]) ).
cnf(c_97996,plain,
( ~ coll(X0,sK27,X1)
| coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_98169,plain,
( ~ para(X0,sK27,X0,X1)
| coll(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_98170,plain,
( ~ midp(X0,sK27,X1)
| coll(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_98255,plain,
( ~ eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_98256,plain,
( ~ eqangle(sK20,sK27,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_98255]) ).
cnf(c_98696,plain,
( ~ cong(sK27,X0,X1,X0)
| ~ cong(sK27,X2,X1,X2)
| perp(sK27,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_98697,plain,
( ~ cong(sK27,sK20,sK20,sK20)
| perp(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_98696]) ).
cnf(c_98956,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,sK24,X0,X1)
| para(X2,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_98969,plain,
( ~ para(X0,X1,X0,sK27)
| para(X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_98971,plain,
( ~ eqangle(X0,sK27,X1,X2,X0,X3,X1,X2)
| para(X0,sK27,X0,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_98973,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,sK27,X0,X1)
| para(X2,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_98974,plain,
( ~ perp(sK20,sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_98973]) ).
cnf(c_99011,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_99038,plain,
( ~ perp(X0,sK27,sK27,X1)
| ~ midp(X2,X0,X1)
| cong(X0,X2,sK27,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_99039,plain,
( ~ perp(sK20,sK27,sK27,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_99038]) ).
cnf(c_99358,plain,
( ~ para(X0,X1,sK27,X2)
| para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_99364,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK27)
| para(X0,X1,X4,sK27) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_99367,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,sK27)
| para(X0,X3,X2,sK27) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_99368,plain,
( ~ midp(sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_99367]) ).
cnf(c_99369,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,sK27)
| para(X1,X3,X2,sK27) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_99466,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK27,sK24,X2,X3,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_99467,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK27,sK24,sK20,sK20,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_99466]) ).
cnf(c_100796,plain,
( ~ coll(sK27,X0,X1)
| ~ coll(sK27,X0,sK26)
| coll(sK26,X1,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_100797,plain,
( ~ coll(sK27,sK20,sK26)
| ~ coll(sK27,sK20,sK20)
| coll(sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_100796]) ).
cnf(c_102649,plain,
( ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5)
| ~ para(X2,X3,X4,X5)
| para(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_102652,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20)
| para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_102649]) ).
cnf(c_102692,plain,
( ~ coll(sK27,X0,X1)
| ~ coll(sK27,X0,X2)
| coll(X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_102693,plain,
( ~ coll(sK27,sK20,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_102692]) ).
cnf(c_103851,plain,
( ~ perp(sK27,X0,X1,X2)
| perp(X1,X2,sK27,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_103852,plain,
( ~ perp(sK27,sK20,sK20,sK20)
| perp(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_103851]) ).
cnf(c_104592,plain,
( ~ cong(X0,sK27,X1,X2)
| ~ cong(X1,X2,X3,sK27)
| cong(X0,sK27,X3,sK27) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_104593,plain,
( ~ cong(sK20,sK27,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK27)
| cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_104592]) ).
cnf(c_104664,plain,
( ~ cong(X0,X1,sK27,X2)
| cong(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_104665,plain,
( ~ cong(sK20,sK20,sK27,sK20)
| cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_104664]) ).
cnf(c_104831,plain,
( ~ midp(X0,sK27,X1)
| ~ midp(X0,sK27,X2)
| para(sK27,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_104832,plain,
( ~ midp(sK20,sK27,sK20)
| para(sK27,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_104831]) ).
cnf(c_104894,plain,
( ~ cong(X0,X1,sK27,X0)
| cong(sK27,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_104895,plain,
( ~ cong(sK20,sK20,sK27,sK20)
| cong(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_104894]) ).
cnf(c_104965,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,sK27)
| para(X3,X0,sK27,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_104966,plain,
( ~ midp(sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_104965]) ).
cnf(c_107421,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,sK27)
| circle(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_107422,plain,
( ~ cong(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20)
| circle(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_107421]) ).
cnf(c_107854,plain,
( ~ eqangle(X0,sK27,X0,X1,X0,sK27,X0,X1)
| para(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_98971]) ).
cnf(c_107856,plain,
( ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20)
| para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_107854]) ).
cnf(c_108033,plain,
( ~ cong(X0,X1,X2,sK27)
| cong(X2,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_108034,plain,
( ~ cong(sK20,sK20,sK20,sK27)
| cong(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108033]) ).
cnf(c_108506,plain,
( ~ midp(X0,X1,X0)
| ~ midp(sK26,X1,X2)
| para(X0,sK26,X0,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_108507,plain,
( ~ midp(sK26,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108506]) ).
cnf(c_108642,plain,
( ~ eqangle(X0,X1,sK27,sK24,X2,X3,sK27,sK24)
| eqangle(sK27,sK24,X0,X1,sK27,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_96609]) ).
cnf(c_108644,plain,
( ~ eqangle(sK20,sK20,sK27,sK24,sK20,sK20,sK27,sK24)
| eqangle(sK27,sK24,sK20,sK20,sK27,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108642]) ).
cnf(c_109943,plain,
( ~ perp(X0,sK27,X1,X2)
| perp(X1,X2,X0,sK27) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_109944,plain,
( ~ perp(sK20,sK27,sK20,sK20)
| perp(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_109943]) ).
cnf(c_110102,plain,
( ~ cong(X0,X1,sK27,X1)
| ~ cong(X0,X2,sK27,X2)
| perp(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_110103,plain,
( ~ cong(sK20,sK20,sK27,sK20)
| perp(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_110102]) ).
cnf(c_110245,plain,
( ~ perp(X0,X1,sK23,sK22)
| ~ perp(sK23,sK22,sK39,sK27)
| para(X0,X1,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_99364]) ).
cnf(c_110629,plain,
( ~ para(X0,sK26,X1,X2)
| para(X1,X2,X0,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_110630,plain,
( ~ para(sK20,sK26,sK20,sK20)
| para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_110629]) ).
cnf(c_110667,plain,
( ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| eqangle(sK27,X1,sK27,X2,X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_110668,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20)
| eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_110667]) ).
cnf(c_110736,plain,
( ~ eqangle(X0,X1,sK27,X1,X0,X2,sK27,X2)
| eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_110737,plain,
( ~ eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_110736]) ).
cnf(c_111520,plain,
( ~ para(X0,X1,sK39,sK27)
| ~ para(X0,sK27,sK39,X1)
| ~ midp(X2,X0,sK39)
| midp(X2,X1,sK27) ),
inference(instantiation,[status(thm)],[c_97116]) ).
cnf(c_111521,plain,
( ~ para(X0,X1,sK39,sK27)
| ~ para(X0,sK27,sK39,X1)
| ~ midp(X2,X0,sK39)
| midp(X2,sK27,X1) ),
inference(instantiation,[status(thm)],[c_96375]) ).
cnf(c_111551,plain,
( ~ perp(sK39,X0,sK23,sK22)
| ~ perp(sK23,sK22,sK39,sK27)
| para(sK39,X0,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_110245]) ).
cnf(c_111552,plain,
( ~ para(sK39,X0,sK39,sK27)
| para(sK39,sK27,sK39,X0) ),
inference(instantiation,[status(thm)],[c_98969]) ).
cnf(c_112091,plain,
( ~ eqangle(sK27,sK24,X0,X1,sK27,sK24,X0,X1)
| para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_96137]) ).
cnf(c_112092,plain,
( ~ eqangle(sK27,sK24,sK20,sK20,sK27,sK24,sK20,sK20)
| para(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_112091]) ).
cnf(c_112102,plain,
( ~ eqangle(sK27,sK24,sK26,sK25,sK27,sK24,X0,X1)
| eqangle(sK26,sK25,sK27,sK24,X0,X1,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_96435]) ).
cnf(c_112446,plain,
( ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5)
| eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_112447,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK27,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_112446]) ).
cnf(c_114516,plain,
( ~ para(X0,X1,X0,X2)
| eqangle(X0,X1,sK27,X1,X0,X2,sK27,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_114517,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_114516]) ).
cnf(c_114661,plain,
( ~ circle(X0,X1,sK27,X2)
| ~ midp(X3,sK27,X2)
| eqangle(X1,sK27,X1,X2,X0,sK27,X0,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_114662,plain,
( ~ circle(sK20,sK20,sK27,sK20)
| ~ midp(sK20,sK27,sK20)
| eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_114661]) ).
cnf(c_117075,plain,
( ~ perp(sK27,sK27,sK27,X0)
| ~ midp(sK27,sK27,X0)
| cong(sK27,sK27,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_96665]) ).
cnf(c_117076,plain,
( ~ perp(sK27,sK27,sK27,sK20)
| ~ midp(sK27,sK27,sK20)
| cong(sK27,sK27,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117075]) ).
cnf(c_117347,plain,
( ~ midp(sK27,sK24,sK24)
| cong(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_96654]) ).
cnf(c_117745,plain,
( ~ para(X0,X1,X2,sK24)
| ~ para(X0,sK24,X2,X1)
| ~ midp(sK27,X0,X2)
| midp(sK27,X1,sK24) ),
inference(instantiation,[status(thm)],[c_96365]) ).
cnf(c_117779,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(sK27,X0,X2)
| midp(sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_96365]) ).
cnf(c_117780,plain,
( ~ para(sK20,sK27,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK27)
| ~ midp(sK27,sK20,sK20)
| midp(sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_117779]) ).
cnf(c_119031,plain,
( ~ perp(sK23,sK22,sK39,X0)
| perp(sK39,X0,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_120306,plain,
( ~ perp(sK27,sK27,sK27,sK24)
| perp(sK27,sK24,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_97674]) ).
cnf(c_120532,plain,
( ~ para(X0,sK27,sK39,sK26)
| ~ para(X0,sK26,sK39,sK27)
| ~ midp(X1,X0,sK39)
| midp(X1,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_111520]) ).
cnf(c_121245,plain,
( ~ para(sK27,sK24,sK27,sK24)
| ~ midp(X0,sK27,sK27)
| midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_99011]) ).
cnf(c_121247,plain,
( ~ para(sK27,sK24,sK27,sK24)
| ~ midp(sK20,sK27,sK27)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_121245]) ).
cnf(c_122989,plain,
( ~ midp(X0,sK27,sK26)
| coll(X0,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_98170]) ).
cnf(c_122991,plain,
( ~ midp(sK20,sK27,sK26)
| coll(sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_122989]) ).
cnf(c_124103,plain,
( ~ para(X0,sK27,X0,sK27)
| coll(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_98169]) ).
cnf(c_124104,plain,
( ~ para(sK20,sK27,sK20,sK27)
| coll(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_124103]) ).
cnf(c_125035,plain,
( ~ para(X0,sK27,sK39,sK26)
| ~ para(X0,sK26,sK39,sK27)
| ~ midp(X1,X0,sK39)
| midp(X1,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_111521]) ).
cnf(c_125471,plain,
( ~ cong(sK27,sK27,sK27,sK27)
| ~ cong(sK27,sK24,sK27,sK24)
| perp(sK27,sK27,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_97830]) ).
cnf(c_125924,plain,
( ~ eqangle(sK27,sK24,sK26,sK25,sK27,sK24,sK26,sK25)
| eqangle(sK26,sK25,sK27,sK24,sK26,sK25,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_112102]) ).
cnf(c_126958,plain,
( ~ para(sK27,sK24,sK27,X0)
| para(sK27,sK24,X0,sK27) ),
inference(instantiation,[status(thm)],[c_99358]) ).
cnf(c_126964,plain,
( ~ para(X0,sK27,X1,X2)
| ~ para(sK27,sK24,X0,sK27)
| para(sK27,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_96138]) ).
cnf(c_126969,plain,
( ~ para(sK27,sK24,sK27,sK20)
| para(sK27,sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_126958]) ).
cnf(c_126974,plain,
( ~ para(sK27,sK24,sK20,sK27)
| ~ para(sK20,sK27,sK20,sK20)
| para(sK27,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_126964]) ).
cnf(c_127350,plain,
( ~ coll(X0,sK27,sK26)
| coll(sK27,X0,sK26) ),
inference(instantiation,[status(thm)],[c_97996]) ).
cnf(c_127353,plain,
( ~ coll(sK20,sK27,sK26)
| coll(sK27,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_127350]) ).
cnf(c_131437,plain,
( ~ perp(sK23,sK22,sK39,sK27)
| ~ perp(sK39,sK26,sK23,sK22)
| para(sK39,sK26,sK39,sK27) ),
inference(instantiation,[status(thm)],[c_111551]) ).
cnf(c_132761,plain,
( ~ perp(sK27,sK27,sK27,X0)
| ~ perp(sK27,sK24,sK27,sK27)
| para(sK27,sK24,sK27,X0) ),
inference(instantiation,[status(thm)],[c_98956]) ).
cnf(c_132762,plain,
( ~ perp(sK27,sK27,sK27,sK20)
| ~ perp(sK27,sK24,sK27,sK27)
| para(sK27,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_132761]) ).
cnf(c_136148,plain,
( ~ para(sK39,sK27,sK39,sK26)
| ~ para(sK39,sK26,sK39,sK27)
| ~ midp(X0,sK39,sK39)
| midp(X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_120532]) ).
cnf(c_136150,plain,
( ~ para(sK39,sK27,sK39,sK26)
| ~ para(sK39,sK26,sK39,sK27)
| ~ midp(sK20,sK39,sK39)
| midp(sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_136148]) ).
cnf(c_136607,plain,
( ~ para(sK39,sK27,sK39,sK26)
| ~ para(sK39,sK26,sK39,sK27)
| ~ midp(X0,sK39,sK39)
| midp(X0,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_125035]) ).
cnf(c_136610,plain,
( ~ para(sK39,sK27,sK39,sK26)
| ~ para(sK39,sK26,sK39,sK27)
| ~ midp(sK20,sK39,sK39)
| midp(sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_136607]) ).
cnf(c_140527,plain,
( ~ perp(sK23,sK22,sK39,sK26)
| perp(sK39,sK26,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_119031]) ).
cnf(c_145958,plain,
( ~ eqangle(sK26,sK25,sK27,sK24,sK26,sK25,sK27,sK24)
| para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_96228]) ).
cnf(c_146112,plain,
( ~ para(sK39,sK26,sK39,sK27)
| para(sK39,sK27,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_111552]) ).
cnf(c_155362,plain,
( ~ cong(sK23,sK26,sK22,sK26)
| ~ cong(sK23,sK39,sK22,sK39)
| perp(sK23,sK22,sK39,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_161430,plain,
( ~ cong(X0,sK27,X0,sK27)
| ~ coll(X0,sK27,sK27)
| midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_96368]) ).
cnf(c_161432,plain,
( ~ cong(sK20,sK27,sK20,sK27)
| ~ coll(sK20,sK27,sK27)
| midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_161430]) ).
cnf(c_175352,plain,
( ~ midp(X0,sK27,X1)
| ~ midp(X0,sK24,sK24)
| para(sK27,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_96141]) ).
cnf(c_175355,plain,
( ~ midp(sK20,sK27,sK20)
| ~ midp(sK20,sK24,sK24)
| para(sK27,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_175352]) ).
cnf(c_178518,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,sK26,sK27)
| para(X1,sK26,X2,sK27) ),
inference(instantiation,[status(thm)],[c_99369]) ).
cnf(c_178519,plain,
( ~ midp(sK20,sK26,sK27)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_178518]) ).
cnf(c_179225,plain,
( ~ para(X0,X1,sK27,X2)
| ~ para(X0,X2,sK27,X1)
| ~ midp(sK26,X0,sK27)
| midp(sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_97801]) ).
cnf(c_179228,plain,
( ~ perp(X0,X1,X1,sK27)
| ~ midp(sK26,X0,sK27)
| cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_97962]) ).
cnf(c_179230,plain,
( ~ perp(sK20,sK20,sK20,sK27)
| ~ midp(sK26,sK20,sK27)
| cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_179228]) ).
cnf(c_179232,plain,
( ~ para(sK20,sK20,sK27,sK20)
| ~ midp(sK26,sK20,sK27)
| midp(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_179225]) ).
cnf(c_183487,plain,
( ~ para(sK27,sK24,X0,sK24)
| ~ midp(sK27,sK27,X0)
| midp(sK27,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117745]) ).
cnf(c_183492,plain,
( ~ para(sK27,sK24,sK20,sK24)
| ~ midp(sK27,sK27,sK20)
| midp(sK27,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_183487]) ).
cnf(c_199758,plain,
( ~ midp(X0,sK25,sK25)
| cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_199759,plain,
( ~ midp(sK20,sK25,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_199758]) ).
cnf(c_260381,plain,
( ~ para(X0,sK25,X1,sK25)
| ~ midp(X2,X0,X1)
| midp(X2,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_269521,plain,
( ~ para(X0,sK26,X1,X2)
| ~ para(X1,X2,X3,sK26)
| para(X0,sK26,X3,sK26) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_269524,plain,
( ~ para(sK20,sK26,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK26)
| para(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_269521]) ).
cnf(c_270548,plain,
( ~ para(sK26,sK25,sK26,sK25)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_260381]) ).
cnf(c_270549,plain,
( ~ para(sK26,sK25,sK26,sK25)
| ~ midp(sK20,sK26,sK26)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_270548]) ).
cnf(c_275149,plain,
( ~ para(X0,sK26,X0,sK26)
| coll(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_275152,plain,
( ~ para(sK20,sK26,sK20,sK26)
| coll(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_275149]) ).
cnf(c_291156,plain,
( ~ cong(X0,sK26,X0,sK26)
| ~ coll(X0,sK26,sK26)
| midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_291157,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ coll(sK20,sK26,sK26)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_291156]) ).
cnf(c_291158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_291157,c_275152,c_270549,c_269524,c_199759,c_183492,c_179232,c_179230,c_178519,c_175355,c_161432,c_155362,c_146112,c_145958,c_140527,c_136610,c_136150,c_132762,c_131437,c_127353,c_126974,c_126969,c_125924,c_125471,c_124104,c_122991,c_121247,c_120306,c_117780,c_117347,c_117076,c_114662,c_114517,c_112447,c_112092,c_110737,c_110668,c_110630,c_110103,c_109944,c_108644,c_108507,c_108034,c_107856,c_107422,c_104966,c_104895,c_104832,c_104665,c_104593,c_103852,c_102693,c_102652,c_100797,c_99467,c_99368,c_99039,c_98974,c_98697,c_98256,c_97987,c_97839,c_97109,c_96864,c_96848,c_96662,c_96371,c_96359,c_96310,c_67214,c_37767,c_31043,c_27657,c_26470,c_22702,c_19731,c_253,c_220,c_204,c_199,c_195,c_192,c_162,c_163,c_172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 21:53:08 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 61.93/9.28 % SZS status Started for theBenchmark.p
% 61.93/9.28 % SZS status Theorem for theBenchmark.p
% 61.93/9.28
% 61.93/9.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 61.93/9.28
% 61.93/9.28 ------ iProver source info
% 61.93/9.28
% 61.93/9.28 git: date: 2023-05-31 18:12:56 +0000
% 61.93/9.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 61.93/9.28 git: non_committed_changes: false
% 61.93/9.28 git: last_make_outside_of_git: false
% 61.93/9.28
% 61.93/9.28 ------ Parsing...
% 61.93/9.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 61.93/9.28
% 61.93/9.28 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 61.93/9.28
% 61.93/9.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 61.93/9.28
% 61.93/9.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.93/9.28 ------ Proving...
% 61.93/9.28 ------ Problem Properties
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28 clauses 140
% 61.93/9.28 conjectures 28
% 61.93/9.28 EPR 103
% 61.93/9.28 Horn 130
% 61.93/9.28 unary 28
% 61.93/9.28 binary 37
% 61.93/9.28 lits 356
% 61.93/9.28 lits eq 4
% 61.93/9.28 fd_pure 0
% 61.93/9.28 fd_pseudo 0
% 61.93/9.28 fd_cond 0
% 61.93/9.28 fd_pseudo_cond 4
% 61.93/9.28 AC symbols 0
% 61.93/9.28
% 61.93/9.28 ------ Schedule dynamic 5 is on
% 61.93/9.28
% 61.93/9.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28 ------
% 61.93/9.28 Current options:
% 61.93/9.28 ------
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28 ------ Proving...
% 61.93/9.28
% 61.93/9.28
% 61.93/9.28 % SZS status Theorem for theBenchmark.p
% 61.93/9.28
% 61.93/9.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.93/9.28
% 61.93/9.29
%------------------------------------------------------------------------------