TSTP Solution File: GEO597+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:00 EDT 2023
% Result : Theorem 17.16s 3.13s
% Output : CNFRefutation 17.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 35
% Syntax : Number of formulae : 361 ( 66 unt; 0 def)
% Number of atoms : 851 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 875 ( 385 ~; 376 |; 61 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1117 ( 50 sgn; 680 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(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/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD46) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X6,X16,X18] :
( ( circle(X7,X0,X16,X18)
& coll(X16,X7,X6)
& midp(X6,X1,X0)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X2,X2,X16,X16,X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416059) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X6,X16,X18] :
( ( circle(X7,X0,X16,X18)
& coll(X16,X7,X6)
& midp(X6,X1,X0)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X2,X2,X16,X16,X2,X2,X1) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(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(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
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(f126,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(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(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(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(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
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(f231,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f126]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(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(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& circle(X3,X0,X5,X6)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( ~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& circle(sK23,sK20,sK25,sK26)
& coll(sK25,sK23,sK24)
& midp(sK24,sK21,sK20)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& circle(sK23,sK20,sK25,sK26)
& coll(sK25,sK23,sK24)
& midp(sK24,sK21,sK20)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(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(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
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(f406,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(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(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_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_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
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_95,plain,
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_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_162,negated_conjecture,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_164,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f475]) ).
cnf(c_165,negated_conjecture,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_166,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_169,plain,
( ~ para(sK22,sK22,sK22,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_172,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_176,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_197,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_230,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_6351,plain,
midp(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_165,c_59]) ).
cnf(c_6356,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_165,c_118]) ).
cnf(c_6369,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_6351,c_118]) ).
cnf(c_6371,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6356,c_50]) ).
cnf(c_6373,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_6369,c_50]) ).
cnf(c_6376,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_6371,c_49]) ).
cnf(c_6399,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
cnf(c_6404,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_6356,c_51]) ).
cnf(c_6406,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_6369,c_51]) ).
cnf(c_6407,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6371,c_51]) ).
cnf(c_6408,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6373,c_51]) ).
cnf(c_6409,plain,
( ~ coll(sK21,sK20,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6376,c_51]) ).
cnf(c_6467,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_164,c_6399]) ).
cnf(c_6470,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_6467,c_49]) ).
cnf(c_6474,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_6470,c_51]) ).
cnf(c_6513,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6356,c_6404]) ).
cnf(c_6514,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6513,c_51]) ).
cnf(c_6546,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_6553,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_6627,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_6369,c_6406]) ).
cnf(c_6628,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6627,c_51]) ).
cnf(c_6630,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6627,c_49]) ).
cnf(c_6689,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_6371,c_6407]) ).
cnf(c_6690,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6689,c_51]) ).
cnf(c_6701,plain,
coll(sK24,sK24,sK24),
inference(superposition,[status(thm)],[c_6470,c_6474]) ).
cnf(c_6727,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6513,c_6514]) ).
cnf(c_6731,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_6727,c_49]) ).
cnf(c_6741,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6373,c_6408]) ).
cnf(c_6770,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_6630,c_6407]) ).
cnf(c_6783,plain,
coll(sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_6731,c_6406]) ).
cnf(c_6807,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6741,c_49]) ).
cnf(c_6824,plain,
coll(sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_6783,c_50]) ).
cnf(c_6841,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6376,c_6409]) ).
cnf(c_6859,plain,
( ~ midp(X0,sK21,X1)
| para(sK24,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_165,c_93]) ).
cnf(c_6860,plain,
( ~ midp(X0,sK20,X1)
| para(sK24,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6351,c_93]) ).
cnf(c_6872,plain,
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
cnf(c_6883,plain,
( ~ midp(sK24,X0,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_165,c_112]) ).
cnf(c_6884,plain,
( ~ midp(sK24,X0,X1)
| para(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6351,c_112]) ).
cnf(c_6914,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK24,sK21,sK20)
| para(sK21,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_6930,plain,
( ~ midp(X0,sK21,X1)
| para(sK20,X1,sK24,X0) ),
inference(superposition,[status(thm)],[c_6859,c_53]) ).
cnf(c_6944,plain,
( ~ midp(sK24,X0,X1)
| para(sK20,X1,sK21,X0) ),
inference(superposition,[status(thm)],[c_6883,c_53]) ).
cnf(c_6945,plain,
( ~ midp(sK24,X0,X1)
| para(sK21,X0,X1,sK20) ),
inference(superposition,[status(thm)],[c_6883,c_52]) ).
cnf(c_6958,plain,
( ~ midp(X0,sK20,X1)
| para(sK24,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6860,c_52]) ).
cnf(c_6970,plain,
( ~ midp(sK24,X0,X1)
| para(sK20,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_6884,c_52]) ).
cnf(c_7020,plain,
( ~ midp(sK24,X0,X1)
| para(X1,sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6945,c_53]) ).
cnf(c_7078,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
cnf(c_7144,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7078,c_56]) ).
cnf(c_7184,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7144,c_55]) ).
cnf(c_7254,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| cong(sK21,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7144,c_104]) ).
cnf(c_7316,plain,
( ~ para(sK20,X0,X1,X2)
| ~ midp(X3,sK21,X0)
| para(sK24,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_6859,c_54]) ).
cnf(c_7363,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7078,c_57]) ).
cnf(c_7545,plain,
( ~ midp(X0,sK21,X1)
| ~ midp(X2,sK21,X1)
| para(sK24,X2,sK24,X0) ),
inference(superposition,[status(thm)],[c_6930,c_7316]) ).
cnf(c_7546,plain,
( ~ midp(X0,sK21,X1)
| ~ midp(sK24,X2,X1)
| para(sK24,X0,sK21,X2) ),
inference(superposition,[status(thm)],[c_6944,c_7316]) ).
cnf(c_7583,plain,
( ~ midp(X0,sK20,X1)
| ~ midp(sK24,sK20,sK21)
| para(sK24,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_7584,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK24,sK20,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_8026,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X1,X0,X4,X5,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_66]) ).
cnf(c_8071,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_8116,plain,
( ~ midp(X0,sK20,X1)
| para(X1,sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6958,c_53]) ).
cnf(c_8155,plain,
( ~ midp(sK24,X0,X1)
| para(X1,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_6970,c_53]) ).
cnf(c_8332,plain,
( ~ midp(sK24,X0,X1)
| para(X1,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7020,c_52]) ).
cnf(c_8514,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7184,c_7363]) ).
cnf(c_8620,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8514,c_53]) ).
cnf(c_8725,plain,
( ~ midp(sK24,sK21,sK20)
| para(sK21,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6914]) ).
cnf(c_8726,plain,
( ~ midp(sK24,sK20,sK21)
| ~ midp(sK24,sK21,sK20)
| para(sK21,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6914]) ).
cnf(c_9058,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7254,c_116]) ).
cnf(c_9065,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9058,c_6807]) ).
cnf(c_9337,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK20,X2)
| ~ midp(sK24,X1,sK21)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6860,c_94]) ).
cnf(c_9338,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK24,X0,X2)
| ~ midp(sK21,X1,sK20)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6883,c_94]) ).
cnf(c_9340,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X2,sK21,X0)
| ~ midp(sK20,X1,sK24)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6930,c_94]) ).
cnf(c_9460,plain,
( ~ para(sK21,sK21,sK20,sK20)
| para(sK20,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_10113,plain,
( ~ midp(sK21,sK21,sK20)
| ~ midp(sK24,sK20,sK21)
| midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_6770,c_9338]) ).
cnf(c_10246,plain,
( ~ midp(sK21,sK21,sK20)
| midp(sK20,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10113,c_6351]) ).
cnf(c_11806,plain,
( ~ para(sK24,X0,sK20,X1)
| ~ midp(X1,sK21,X0)
| ~ midp(X2,sK24,sK20)
| midp(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_6859,c_113]) ).
cnf(c_13629,plain,
( ~ midp(sK24,sK20,sK21)
| para(sK24,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7583]) ).
cnf(c_18994,plain,
( ~ midp(sK24,sK20,sK24)
| ~ midp(sK24,sK21,sK21)
| midp(sK24,sK21,sK24) ),
inference(superposition,[status(thm)],[c_6824,c_9337]) ).
cnf(c_19833,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_6546,c_72]) ).
cnf(c_20813,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X1,X0) ),
inference(superposition,[status(thm)],[c_6553,c_71]) ).
cnf(c_20974,plain,
( ~ midp(X0,sK20,X1)
| para(X1,sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_8116,c_52]) ).
cnf(c_21125,plain,
( ~ midp(sK20,sK24,sK24)
| ~ midp(sK24,sK21,sK24)
| midp(sK24,sK24,sK24) ),
inference(superposition,[status(thm)],[c_6701,c_9340]) ).
cnf(c_22017,plain,
( ~ midp(sK24,X0,X1)
| para(X1,sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_8155,c_52]) ).
cnf(c_22051,plain,
( ~ midp(sK24,sK22,sK22)
| para(sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_22017]) ).
cnf(c_22332,plain,
( ~ para(X0,sK21,X1,sK20)
| ~ midp(X2,X0,X1)
| ~ midp(sK24,X1,X0)
| midp(X2,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8332,c_113]) ).
cnf(c_22375,plain,
( ~ para(sK22,sK21,sK22,sK20)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK24,sK22,sK22)
| midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_22332]) ).
cnf(c_23473,plain,
para(sK21,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_8620,c_165,c_6351,c_8726]) ).
cnf(c_23479,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_23473,c_53]) ).
cnf(c_23494,plain,
( ~ para(sK20,sK20,sK21,sK21)
| ~ midp(X0,sK20,sK21)
| midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_23479,c_113]) ).
cnf(c_23495,plain,
( ~ coll(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| midp(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_23479,c_94]) ).
cnf(c_23697,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_19833,c_71]) ).
cnf(c_23796,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X0,X2) ),
inference(superposition,[status(thm)],[c_20813,c_72]) ).
cnf(c_25073,plain,
( ~ midp(X0,sK24,sK20)
| ~ midp(sK20,sK21,sK21)
| ~ midp(sK24,sK20,sK24)
| midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_22017,c_11806]) ).
cnf(c_25332,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_23697,c_116]) ).
cnf(c_25660,plain,
( ~ midp(X0,X1,X0)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_19833,c_6872]) ).
cnf(c_25663,plain,
( ~ midp(X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_23796,c_6872]) ).
cnf(c_26867,plain,
( ~ midp(X0,X1,X0)
| para(X0,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_25660,c_52]) ).
cnf(c_27052,plain,
( ~ midp(X0,X1,X0)
| para(X1,X0,X0,X0) ),
inference(superposition,[status(thm)],[c_26867,c_53]) ).
cnf(c_31951,plain,
( ~ midp(X0,sK21,sK20)
| para(sK24,X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_165,c_7545]) ).
cnf(c_31981,plain,
( ~ midp(X0,sK21,sK20)
| para(sK24,sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_31951,c_53]) ).
cnf(c_32082,plain,
( ~ para(sK24,X0,sK24,sK24)
| ~ midp(X0,sK21,sK20)
| ~ midp(X1,sK24,sK24)
| midp(X1,sK24,X0) ),
inference(superposition,[status(thm)],[c_31981,c_113]) ).
cnf(c_32579,plain,
( ~ midp(sK24,X0,sK20)
| para(sK24,sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_165,c_7546]) ).
cnf(c_32605,plain,
( ~ para(sK21,X0,X1,X2)
| ~ midp(sK24,X0,sK20)
| para(sK24,sK24,X1,X2) ),
inference(superposition,[status(thm)],[c_32579,c_54]) ).
cnf(c_32777,plain,
( ~ midp(sK21,sK21,X0)
| ~ midp(sK24,sK21,sK20)
| para(sK24,sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_25663,c_32605]) ).
cnf(c_32788,plain,
( ~ midp(X0,sK20,sK21)
| ~ midp(sK24,sK21,sK20)
| para(sK24,sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_8116,c_32605]) ).
cnf(c_32801,plain,
( ~ midp(X0,sK20,sK21)
| ~ midp(sK24,sK21,sK20)
| para(sK24,sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_20974,c_32605]) ).
cnf(c_32803,plain,
( ~ midp(sK24,X0,sK21)
| ~ midp(sK24,sK21,sK20)
| para(sK24,sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_22017,c_32605]) ).
cnf(c_32806,plain,
( ~ midp(sK21,X0,sK21)
| ~ midp(sK24,sK21,sK20)
| para(sK24,sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_26867,c_32605]) ).
cnf(c_32826,plain,
( ~ midp(sK21,X0,sK21)
| para(sK24,sK24,X0,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32806,c_165]) ).
cnf(c_32835,plain,
( ~ midp(sK24,X0,sK21)
| para(sK24,sK24,X0,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32803,c_165]) ).
cnf(c_32841,plain,
( ~ midp(X0,sK20,sK21)
| para(sK24,sK24,X0,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32801,c_165]) ).
cnf(c_32874,plain,
( ~ midp(X0,sK20,sK21)
| para(sK24,sK24,sK24,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32788,c_165]) ).
cnf(c_32907,plain,
( ~ midp(sK21,sK21,X0)
| para(sK24,sK24,sK21,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32777,c_165]) ).
cnf(c_33032,plain,
( ~ midp(sK24,X0,X1)
| ~ coll(sK24,X0,sK21)
| ~ midp(sK21,X1,sK21)
| midp(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_32826,c_94]) ).
cnf(c_33034,plain,
( ~ para(X0,sK21,X1,X2)
| ~ midp(sK21,X0,sK21)
| para(sK24,sK24,X1,X2) ),
inference(superposition,[status(thm)],[c_32826,c_54]) ).
cnf(c_33572,plain,
( ~ para(sK24,sK20,X0,sK24)
| ~ midp(X1,sK24,X0)
| ~ midp(sK24,X0,sK21)
| midp(X1,sK24,sK20) ),
inference(superposition,[status(thm)],[c_32835,c_113]) ).
cnf(c_33576,plain,
( ~ midp(sK24,X0,sK21)
| para(X0,sK20,sK24,sK24) ),
inference(superposition,[status(thm)],[c_32835,c_53]) ).
cnf(c_33612,plain,
( ~ midp(sK24,X0,X1)
| ~ coll(sK24,X0,sK24)
| ~ midp(X1,sK20,sK21)
| midp(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_32841,c_94]) ).
cnf(c_33727,plain,
( ~ para(sK24,X0,sK24,sK24)
| ~ midp(X0,sK20,sK21)
| ~ midp(X1,sK24,sK24)
| midp(X1,sK24,X0) ),
inference(superposition,[status(thm)],[c_32874,c_113]) ).
cnf(c_33728,plain,
( ~ coll(sK24,X0,X1)
| ~ midp(X1,sK20,sK21)
| ~ midp(sK24,X0,sK24)
| midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_32874,c_94]) ).
cnf(c_33731,plain,
( ~ midp(X0,sK20,sK21)
| para(sK24,X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_32874,c_53]) ).
cnf(c_34138,plain,
( ~ perp(sK21,X0,X1,X2)
| ~ midp(sK21,sK21,X0)
| perp(sK24,sK24,X1,X2) ),
inference(superposition,[status(thm)],[c_32907,c_58]) ).
cnf(c_35472,plain,
( ~ midp(sK21,X0,sK21)
| para(sK24,sK24,sK21,sK21) ),
inference(superposition,[status(thm)],[c_27052,c_33034]) ).
cnf(c_37584,plain,
para(sK24,sK24,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_35472,c_6351,c_13629]) ).
cnf(c_37590,plain,
para(sK21,sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_37584,c_53]) ).
cnf(c_37622,plain,
( ~ para(sK24,sK24,X0,X1)
| para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_37590,c_54]) ).
cnf(c_39712,plain,
para(sK21,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_37584,c_37622]) ).
cnf(c_40802,plain,
( ~ midp(X0,sK20,sK21)
| ~ midp(sK24,sK20,X0)
| midp(sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6731,c_33612]) ).
cnf(c_41642,plain,
( ~ midp(sK21,sK20,sK21)
| ~ midp(sK24,sK24,sK24)
| midp(sK24,sK24,sK21) ),
inference(superposition,[status(thm)],[c_6841,c_33728]) ).
cnf(c_43974,plain,
( ~ midp(X0,sK24,sK24)
| ~ midp(sK24,sK24,sK21)
| midp(X0,sK24,sK20) ),
inference(superposition,[status(thm)],[c_33576,c_33572]) ).
cnf(c_44635,plain,
( ~ midp(X0,sK20,sK21)
| ~ midp(X1,sK24,sK24)
| midp(X1,sK24,X0) ),
inference(global_subsumption_just,[status(thm)],[c_33727,c_165,c_8725,c_9460,c_23494,c_32082,c_33731]) ).
cnf(c_46545,plain,
( ~ midp(sK21,sK20,sK21)
| midp(sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_6351,c_40802]) ).
cnf(c_48918,plain,
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_8071,c_87]) ).
cnf(c_49062,plain,
para(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_39712,c_48918]) ).
cnf(c_49084,plain,
para(sK22,sK22,sK22,sK22),
inference(instantiation,[status(thm)],[c_49062]) ).
cnf(c_49086,plain,
( ~ para(X0,X1,X0,X1)
| ~ midp(X2,X0,X0)
| midp(X2,X1,X1) ),
inference(superposition,[status(thm)],[c_49062,c_113]) ).
cnf(c_49092,plain,
coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_49062,c_115]) ).
cnf(c_49110,plain,
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49086,c_49062]) ).
cnf(c_49113,plain,
( ~ midp(X0,X1,X1)
| midp(X1,X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25332,c_49092]) ).
cnf(c_49126,plain,
coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_49092,c_50]) ).
cnf(c_49341,plain,
coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_49126,c_49]) ).
cnf(c_49484,plain,
coll(sK21,X0,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_6690,c_49341]) ).
cnf(c_49485,plain,
coll(sK24,X0,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_6628,c_49341]) ).
cnf(c_49504,plain,
( ~ midp(sK20,X0,sK21)
| midp(sK21,X0,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_23495,c_49484]) ).
cnf(c_49508,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK21,X1,sK21)
| midp(sK24,X0,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_33032,c_49485]) ).
cnf(c_49810,plain,
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_49341,c_51]) ).
cnf(c_49816,plain,
coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_49810,c_49341]) ).
cnf(c_49861,plain,
( ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9065,c_49816]) ).
cnf(c_49899,plain,
perp(sK21,sK22,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_7144,c_49816]) ).
cnf(c_49907,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_49816]) ).
cnf(c_50200,plain,
( ~ midp(sK21,sK21,sK22)
| perp(sK24,sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_49899,c_34138]) ).
cnf(c_51220,plain,
( ~ midp(sK21,sK21,sK22)
| ~ midp(sK24,sK20,sK21)
| cong(sK24,sK20,sK24,sK21) ),
inference(superposition,[status(thm)],[c_50200,c_104]) ).
cnf(c_51235,plain,
( ~ midp(sK21,sK21,sK22)
| cong(sK24,sK20,sK24,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51220,c_6351]) ).
cnf(c_51243,plain,
cong(sK24,sK20,sK24,sK21),
inference(global_subsumption_just,[status(thm)],[c_51235,c_6351,c_7584]) ).
cnf(c_51249,plain,
( ~ cong(sK24,sK21,X0,X1)
| cong(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_51243,c_73]) ).
cnf(c_51250,plain,
cong(sK24,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_51243,c_72]) ).
cnf(c_51286,plain,
cong(sK24,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_51250,c_71]) ).
cnf(c_51923,plain,
cong(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_51250,c_51249]) ).
cnf(c_51924,plain,
cong(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_51286,c_51249]) ).
cnf(c_52060,plain,
cong(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_51924,c_72]) ).
cnf(c_52067,plain,
cong(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_52060,c_71]) ).
cnf(c_52111,plain,
( ~ midp(sK21,sK20,sK21)
| midp(sK24,sK21,sK21) ),
inference(superposition,[status(thm)],[c_165,c_49508]) ).
cnf(c_52968,plain,
midp(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_51923,c_49907]) ).
cnf(c_52969,plain,
midp(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_52067,c_49907]) ).
cnf(c_53015,plain,
midp(sK24,X0,X0),
inference(superposition,[status(thm)],[c_52968,c_49110]) ).
cnf(c_53032,plain,
midp(sK24,sK22,sK22),
inference(instantiation,[status(thm)],[c_53015]) ).
cnf(c_53039,plain,
midp(sK20,X0,X0),
inference(superposition,[status(thm)],[c_52969,c_49110]) ).
cnf(c_53322,plain,
midp(X0,sK24,sK24),
inference(superposition,[status(thm)],[c_53015,c_49113]) ).
cnf(c_53366,plain,
( ~ midp(X0,sK20,sK21)
| midp(X1,sK24,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_44635,c_53322]) ).
cnf(c_53425,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_53039,c_49504]) ).
cnf(c_53550,plain,
midp(X1,sK24,X0),
inference(global_subsumption_just,[status(thm)],[c_53366,c_169,c_172,c_176,c_197,c_230,c_10246,c_18994,c_21125,c_22051,c_22375,c_25073,c_41642,c_43974,c_46545,c_49084,c_49861,c_52111,c_52969,c_53032,c_53322,c_53366,c_53425]) ).
cnf(c_53551,plain,
midp(X0,sK24,X1),
inference(renaming,[status(thm)],[c_53550]) ).
cnf(c_53604,plain,
( ~ midp(X0,sK24,X1)
| para(X2,X0,X3,X1) ),
inference(superposition,[status(thm)],[c_53551,c_93]) ).
cnf(c_53628,plain,
para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_53604,c_53551]) ).
cnf(c_53651,plain,
eqangle(X0,X1,X2,X3,X0,X1,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[c_8071,c_53628]) ).
cnf(c_53652,plain,
eqangle(X0,X1,X2,X3,X4,X5,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[c_8026,c_53628]) ).
cnf(c_55427,plain,
eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(superposition,[status(thm)],[c_53651,c_69]) ).
cnf(c_55434,plain,
eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(superposition,[status(thm)],[c_53652,c_69]) ).
cnf(c_55478,plain,
( ~ eqangle(X0,X1,X0,X1,X2,X3,X4,X5)
| eqangle(X6,X7,X8,X9,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_55434,c_70]) ).
cnf(c_55483,plain,
eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[status(thm)],[c_55478,c_55427]) ).
cnf(c_55484,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_55483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 22:16:25 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.16/3.13 % SZS status Started for theBenchmark.p
% 17.16/3.13 % SZS status Theorem for theBenchmark.p
% 17.16/3.13
% 17.16/3.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.16/3.13
% 17.16/3.13 ------ iProver source info
% 17.16/3.13
% 17.16/3.13 git: date: 2023-05-31 18:12:56 +0000
% 17.16/3.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.16/3.13 git: non_committed_changes: false
% 17.16/3.13 git: last_make_outside_of_git: false
% 17.16/3.13
% 17.16/3.13 ------ Parsing...
% 17.16/3.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.16/3.13
% 17.16/3.13 ------ 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
% 17.16/3.13
% 17.16/3.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.16/3.13
% 17.16/3.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.16/3.13 ------ Proving...
% 17.16/3.13 ------ Problem Properties
% 17.16/3.13
% 17.16/3.13
% 17.16/3.13 clauses 117
% 17.16/3.13 conjectures 5
% 17.16/3.13 EPR 80
% 17.16/3.13 Horn 107
% 17.16/3.13 unary 5
% 17.16/3.13 binary 37
% 17.16/3.13 lits 333
% 17.16/3.13 lits eq 4
% 17.16/3.13 fd_pure 0
% 17.16/3.13 fd_pseudo 0
% 17.16/3.13 fd_cond 0
% 17.16/3.13 fd_pseudo_cond 4
% 17.16/3.13 AC symbols 0
% 17.16/3.13
% 17.16/3.13 ------ Schedule dynamic 5 is on
% 17.16/3.13
% 17.16/3.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.16/3.13
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% 17.16/3.13 ------
% 17.16/3.13 Current options:
% 17.16/3.13 ------
% 17.16/3.13
% 17.16/3.13
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% 17.16/3.13
% 17.16/3.13 ------ Proving...
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% 17.16/3.13 % SZS status Theorem for theBenchmark.p
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% 17.16/3.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 17.16/3.13
%------------------------------------------------------------------------------