TSTP Solution File: GEO655+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO655+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:18:14 EDT 2024
% Result : Theorem 46.81s 7.19s
% Output : CNFRefutation 46.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 315 ( 36 unt; 0 def)
% Number of atoms : 904 ( 0 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 1007 ( 418 ~; 409 |; 134 &)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-6 aty)
% Number of variables : 914 ( 0 sgn 574 !; 38 ?)
% 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(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(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(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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(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/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X6,X16] :
? [X8] :
( ( midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> ( para(X8,X16,X0,X2)
& para(X8,X6,X1,X3)
& midp(X8,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21] :
( ( perp(X3,X5,X5,X12)
& circle(X3,X1,X5,X21)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X20,X3)
& midp(X20,X0,X2)
& perp(X1,X2,X19,X3)
& midp(X19,X1,X2)
& perp(X1,X0,X18,X3)
& midp(X18,X1,X0) )
=> para(X5,X12,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0229) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21] :
( ( perp(X3,X5,X5,X12)
& circle(X3,X1,X5,X21)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X20,X3)
& midp(X20,X0,X2)
& perp(X1,X2,X19,X3)
& midp(X19,X1,X2)
& perp(X1,X0,X18,X3)
& midp(X18,X1,X0) )
=> para(X5,X12,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
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(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(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(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(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(rectify,[],[f82]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ),
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(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(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(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(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(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(f294,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f154]) ).
fof(f295,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f294]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) ),
inference(flattening,[],[f319]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) )
=> ( ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f295,f331]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> ( ~ para(sK25,sK26,sK20,sK22)
& perp(sK23,sK25,sK25,sK26)
& circle(sK23,sK21,sK25,sK30)
& coll(sK21,sK24,sK25)
& eqangle(sK22,sK21,sK21,sK24,sK24,sK21,sK21,sK20)
& coll(sK24,sK20,sK22)
& perp(sK20,sK22,sK29,sK23)
& midp(sK29,sK20,sK22)
& perp(sK21,sK22,sK28,sK23)
& midp(sK28,sK21,sK22)
& perp(sK21,sK20,sK27,sK23)
& midp(sK27,sK21,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK25,sK26,sK20,sK22)
& perp(sK23,sK25,sK25,sK26)
& circle(sK23,sK21,sK25,sK30)
& coll(sK21,sK24,sK25)
& eqangle(sK22,sK21,sK21,sK24,sK24,sK21,sK21,sK20)
& coll(sK24,sK20,sK22)
& perp(sK20,sK22,sK29,sK23)
& midp(sK29,sK20,sK22)
& perp(sK21,sK22,sK28,sK23)
& midp(sK28,sK21,sK22)
& perp(sK21,sK20,sK27,sK23)
& midp(sK27,sK21,sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(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(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(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(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(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(f448,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f473,plain,
midp(sK27,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
perp(sK21,sK20,sK27,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
midp(sK28,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK21,sK22,sK28,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
perp(sK23,sK25,sK25,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
~ para(sK25,sK26,sK20,sK22),
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_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_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_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_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_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_135,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X4,X5)
| para(sK5(X1,X2,X4,X5,X0,X3),X3,X1,X4) ),
inference(cnf_transformation,[],[f448]) ).
cnf(c_162,negated_conjecture,
~ para(sK25,sK26,sK20,sK22),
inference(cnf_transformation,[],[f484]) ).
cnf(c_163,negated_conjecture,
perp(sK23,sK25,sK25,sK26),
inference(cnf_transformation,[],[f483]) ).
cnf(c_170,negated_conjecture,
perp(sK21,sK22,sK28,sK23),
inference(cnf_transformation,[],[f476]) ).
cnf(c_171,negated_conjecture,
midp(sK28,sK21,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_172,negated_conjecture,
perp(sK21,sK20,sK27,sK23),
inference(cnf_transformation,[],[f474]) ).
cnf(c_173,negated_conjecture,
midp(sK27,sK21,sK20),
inference(cnf_transformation,[],[f473]) ).
cnf(c_176,plain,
( ~ para(sK21,sK21,sK21,sK21)
| coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_179,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| midp(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_183,plain,
( ~ para(sK21,sK21,sK21,sK21)
| eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_188,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| perp(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_204,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| cyclic(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_237,plain,
( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_4843,plain,
( ~ midp(sK28,sK21,sK22)
| midp(sK28,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_4844,plain,
( ~ midp(sK27,sK21,sK20)
| midp(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_4855,plain,
( ~ perp(sK23,sK25,sK25,sK26)
| perp(sK25,sK26,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_4930,plain,
( ~ perp(X0,X1,sK21,sK22)
| ~ perp(sK21,sK22,sK28,sK23)
| para(X0,X1,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_4931,plain,
( ~ perp(sK21,sK22,sK28,sK23)
| ~ perp(sK21,sK21,sK21,sK22)
| para(sK21,sK21,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_4930]) ).
cnf(c_4932,plain,
( ~ perp(X0,X1,sK21,sK20)
| ~ perp(sK21,sK20,sK27,sK23)
| para(X0,X1,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_4933,plain,
( ~ perp(sK21,sK20,sK27,sK23)
| ~ perp(sK21,sK21,sK21,sK20)
| para(sK21,sK21,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_4932]) ).
cnf(c_5063,plain,
( ~ perp(X0,X1,sK23,sK25)
| ~ perp(sK23,sK25,sK25,sK26)
| para(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_5090,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK28,sK21,sK22)
| para(sK5(X1,X2,sK21,sK22,X0,sK28),sK28,X1,sK21) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_5202,plain,
( ~ midp(X0,sK22,X1)
| ~ midp(sK28,sK22,sK21)
| para(X0,sK28,X1,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_5203,plain,
( ~ midp(sK21,sK22,sK21)
| ~ midp(sK28,sK22,sK21)
| para(sK21,sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5202]) ).
cnf(c_5225,plain,
( ~ midp(X0,sK20,X1)
| ~ midp(sK27,sK20,sK21)
| para(X0,sK27,X1,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_5226,plain,
( ~ midp(sK21,sK20,sK21)
| ~ midp(sK27,sK20,sK21)
| para(sK21,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5225]) ).
cnf(c_5516,plain,
( ~ perp(sK25,sK26,sK23,sK25)
| ~ perp(sK23,sK25,sK25,sK26)
| para(sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_5063]) ).
cnf(c_5613,plain,
( ~ midp(sK28,sK21,sK22)
| para(sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5090]) ).
cnf(c_5799,plain,
midp(sK28,sK22,sK21),
inference(superposition,[status(thm)],[c_171,c_59]) ).
cnf(c_5800,plain,
midp(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_173,c_59]) ).
cnf(c_5802,plain,
coll(sK28,sK21,sK22),
inference(superposition,[status(thm)],[c_171,c_118]) ).
cnf(c_5831,plain,
coll(sK28,sK22,sK21),
inference(superposition,[status(thm)],[c_5799,c_118]) ).
cnf(c_5858,plain,
coll(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_5800,c_118]) ).
cnf(c_5862,plain,
coll(sK21,sK28,sK22),
inference(superposition,[status(thm)],[c_5802,c_50]) ).
cnf(c_5893,plain,
coll(sK22,sK28,sK21),
inference(superposition,[status(thm)],[c_5831,c_50]) ).
cnf(c_5895,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_5858,c_50]) ).
cnf(c_5925,plain,
coll(sK21,sK22,sK28),
inference(superposition,[status(thm)],[c_5862,c_49]) ).
cnf(c_6176,plain,
( ~ coll(sK21,sK22,X0)
| coll(sK28,X0,sK21) ),
inference(superposition,[status(thm)],[c_5925,c_51]) ).
cnf(c_6182,plain,
( ~ coll(sK22,sK28,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_5893,c_51]) ).
cnf(c_6183,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_5895,c_51]) ).
cnf(c_6189,plain,
( ~ coll(sK20,sK27,sK21)
| coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6183]) ).
cnf(c_6190,plain,
( ~ coll(sK22,sK28,sK21)
| coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6182]) ).
cnf(c_6196,plain,
( ~ coll(sK21,sK22,sK21)
| coll(sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6176]) ).
cnf(c_6689,plain,
perp(sK25,sK26,sK23,sK25),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_6691,plain,
perp(sK28,sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_170,c_56]) ).
cnf(c_6692,plain,
perp(sK27,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_172,c_56]) ).
cnf(c_6795,plain,
( ~ para(sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28,sK21,sK21)
| para(sK21,sK21,sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_6803,plain,
( ~ para(X0,X1,sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28)
| ~ para(sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28,sK21,sK21)
| para(X0,X1,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_6804,plain,
( ~ para(sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28,sK21,sK21)
| ~ para(sK21,sK21,sK5(sK21,sK22,sK21,sK22,sK28,sK28),sK28)
| para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6803]) ).
cnf(c_7063,plain,
( ~ perp(X0,X1,X0,sK20)
| perp(X0,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7064,plain,
( ~ perp(sK21,sK21,sK21,sK20)
| perp(sK21,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7063]) ).
cnf(c_7083,plain,
( ~ midp(X0,sK21,X1)
| para(sK28,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_171,c_93]) ).
cnf(c_7134,plain,
( ~ midp(sK28,X0,X1)
| para(sK21,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_171,c_112]) ).
cnf(c_7245,plain,
( ~ midp(X0,sK21,X1)
| para(sK28,X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_7083,c_52]) ).
cnf(c_7305,plain,
( ~ midp(sK28,X0,X1)
| para(sK21,X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_7134,c_52]) ).
cnf(c_7543,plain,
( ~ cong(sK28,X0,sK28,X1)
| ~ coll(sK28,X0,X1)
| midp(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_7544,plain,
( ~ cong(sK28,sK21,sK28,sK21)
| ~ coll(sK28,sK21,sK21)
| midp(sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7543]) ).
cnf(c_7583,plain,
perp(sK28,sK23,sK21,sK22),
inference(resolution,[status(thm)],[c_56,c_170]) ).
cnf(c_7584,plain,
perp(sK27,sK23,sK21,sK20),
inference(resolution,[status(thm)],[c_56,c_172]) ).
cnf(c_7620,plain,
( ~ para(X0,X1,X2,sK20)
| ~ para(X0,sK20,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK20,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_7621,plain,
( ~ para(sK21,sK20,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK20)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7620]) ).
cnf(c_7637,plain,
( ~ para(X0,X1,sK20,sK22)
| ~ para(sK25,sK26,X0,X1)
| para(sK25,sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7638,plain,
( ~ para(sK25,sK26,sK21,sK21)
| ~ para(sK21,sK21,sK20,sK22)
| para(sK25,sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7637]) ).
cnf(c_8120,plain,
( ~ coll(sK21,X0,sK22)
| coll(sK21,sK22,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8121,plain,
( ~ coll(sK21,sK21,sK22)
| coll(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_8120]) ).
cnf(c_8199,plain,
( ~ para(sK25,sK26,X0,X1)
| para(sK25,sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_8203,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK25,sK26,X0,X1)
| para(sK25,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_8214,plain,
( ~ cong(sK25,X0,sK26,X0)
| ~ cong(sK25,X1,sK26,X1)
| perp(sK25,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_8215,plain,
( ~ cong(sK25,sK21,sK26,sK21)
| perp(sK25,sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8214]) ).
cnf(c_8216,plain,
( ~ eqangle(sK25,sK26,X0,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(sK25,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_8837,plain,
( ~ para(sK25,sK26,sK25,sK26)
| para(sK25,sK26,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_8199]) ).
cnf(c_8958,plain,
( ~ perp(sK25,sK26,sK26,X0)
| ~ midp(X1,sK25,X0)
| cong(sK25,X1,sK26,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9087,plain,
( ~ para(sK25,sK26,X0,X1)
| eqangle(sK25,sK26,X2,X3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_9256,plain,
( ~ eqangle(sK25,sK26,X0,X1,X2,X3,X4,X5)
| eqangle(sK25,sK26,X2,X3,X0,X1,X4,X5) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_10193,plain,
( ~ para(X0,X1,sK21,sK27)
| ~ para(sK21,sK28,X0,X1)
| para(sK21,sK28,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_10194,plain,
( ~ para(sK21,sK21,sK21,sK27)
| ~ para(sK21,sK28,sK21,sK21)
| para(sK21,sK28,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_10193]) ).
cnf(c_10233,plain,
( ~ para(X0,X1,sK21,sK28)
| ~ para(sK21,sK27,X0,X1)
| para(sK21,sK27,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_10234,plain,
( ~ para(sK21,sK21,sK21,sK28)
| ~ para(sK21,sK27,sK21,sK21)
| para(sK21,sK27,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_10233]) ).
cnf(c_10249,plain,
( ~ para(X0,sK28,X1,sK27)
| ~ para(X0,sK27,X1,sK28)
| ~ midp(sK21,X0,X1)
| midp(sK21,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_10250,plain,
( ~ para(sK21,sK28,sK21,sK27)
| ~ para(sK21,sK27,sK21,sK28)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_10249]) ).
cnf(c_10653,plain,
( ~ perp(sK25,sK26,X0,X1)
| para(sK23,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
cnf(c_10655,plain,
( ~ perp(sK28,sK23,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_57]) ).
cnf(c_10656,plain,
( ~ perp(sK27,sK23,X0,X1)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_172,c_57]) ).
cnf(c_10665,plain,
( ~ perp(sK21,sK20,X0,X1)
| para(sK27,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6692,c_57]) ).
cnf(c_11424,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_6689,c_10653]) ).
cnf(c_11470,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_6691,c_10655]) ).
cnf(c_11471,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_6692,c_10656]) ).
cnf(c_11595,plain,
( ~ midp(X0,X1,sK20)
| ~ midp(X2,X1,sK22)
| para(X0,X2,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_11596,plain,
( ~ midp(sK21,sK21,sK20)
| ~ midp(sK21,sK21,sK22)
| para(sK21,sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_11595]) ).
cnf(c_11607,plain,
( ~ cong(X0,X1,X0,X1)
| ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_105]) ).
cnf(c_11831,plain,
( ~ perp(X0,sK22,X1,X2)
| ~ midp(X3,sK21,X0)
| perp(sK28,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_7245,c_58]) ).
cnf(c_11838,plain,
( ~ perp(sK21,sK22,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| perp(sK28,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_11831]) ).
cnf(c_12130,plain,
( ~ para(X0,X1,X2,sK22)
| ~ para(X0,sK22,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK22,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_12131,plain,
( ~ para(sK21,sK22,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK22)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_12130]) ).
cnf(c_12627,plain,
perp(sK25,sK26,sK23,sK25),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_12629,plain,
perp(sK28,sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_170,c_56]) ).
cnf(c_12630,plain,
perp(sK27,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_172,c_56]) ).
cnf(c_13523,plain,
( ~ perp(X0,X1,X2,sK22)
| perp(X2,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_13524,plain,
( ~ perp(sK21,sK21,sK21,sK22)
| perp(sK21,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_13523]) ).
cnf(c_13556,plain,
( ~ midp(X0,sK21,X1)
| para(X0,sK28,X1,sK22) ),
inference(resolution,[status(thm)],[c_93,c_171]) ).
cnf(c_13558,plain,
( ~ midp(X0,sK21,X1)
| para(X0,sK27,X1,sK20) ),
inference(resolution,[status(thm)],[c_93,c_173]) ).
cnf(c_13572,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X4,sK22,X0,X1)
| para(X4,sK22,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_13574,plain,
( ~ perp(sK21,sK22,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_13572]) ).
cnf(c_13613,plain,
( ~ para(sK25,sK26,sK25,sK26)
| eqangle(sK25,sK26,X0,X1,sK25,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_9087]) ).
cnf(c_13614,plain,
( ~ para(sK25,sK26,sK25,sK26)
| eqangle(sK25,sK26,sK21,sK21,sK25,sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_13613]) ).
cnf(c_13616,plain,
( ~ para(sK25,sK26,sK26,sK25)
| eqangle(sK25,sK26,X0,X1,sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_9087]) ).
cnf(c_13617,plain,
( ~ para(sK25,sK26,sK26,sK25)
| eqangle(sK25,sK26,sK21,sK21,sK26,sK25,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_13616]) ).
cnf(c_14059,plain,
( ~ perp(sK25,sK26,X0,X1)
| para(sK23,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
cnf(c_14061,plain,
( ~ perp(sK28,sK23,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_57]) ).
cnf(c_14062,plain,
( ~ perp(sK27,sK23,X0,X1)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_172,c_57]) ).
cnf(c_14463,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_12627,c_14059]) ).
cnf(c_14489,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_12629,c_14061]) ).
cnf(c_14490,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_12630,c_14062]) ).
cnf(c_15046,plain,
( ~ midp(X0,sK21,X1)
| para(X1,sK22,X0,sK28) ),
inference(resolution,[status(thm)],[c_53,c_13556]) ).
cnf(c_15048,plain,
( ~ midp(X0,sK21,X1)
| para(X1,sK20,X0,sK27) ),
inference(resolution,[status(thm)],[c_53,c_13558]) ).
cnf(c_17787,plain,
( ~ para(X0,X1,X2,sK22)
| ~ midp(X3,sK21,X2)
| para(X0,X1,X3,sK28) ),
inference(resolution,[status(thm)],[c_54,c_15046]) ).
cnf(c_17788,plain,
( ~ para(sK21,sK21,sK21,sK22)
| ~ midp(sK21,sK21,sK21)
| para(sK21,sK21,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_17787]) ).
cnf(c_17789,plain,
( ~ para(X0,X1,X2,sK20)
| ~ midp(X3,sK21,X2)
| para(X0,X1,X3,sK27) ),
inference(resolution,[status(thm)],[c_54,c_15048]) ).
cnf(c_17790,plain,
( ~ para(sK21,sK21,sK21,sK20)
| ~ midp(sK21,sK21,sK21)
| para(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_17789]) ).
cnf(c_17911,plain,
( ~ para(X0,X1,X2,sK22)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK22)
| midp(X1,X3,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_17912,plain,
( ~ para(sK21,sK21,sK21,sK22)
| ~ coll(sK21,sK21,sK22)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_17911]) ).
cnf(c_18649,plain,
( ~ eqangle(sK25,sK26,X0,X1,sK25,sK26,X0,X1)
| eqangle(sK25,sK26,sK25,sK26,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_9256]) ).
cnf(c_18652,plain,
( ~ eqangle(sK25,sK26,sK21,sK21,sK25,sK26,sK21,sK21)
| eqangle(sK25,sK26,sK25,sK26,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_18649]) ).
cnf(c_18682,plain,
( ~ eqangle(sK25,sK26,X0,X1,sK26,sK25,X0,X1)
| eqangle(sK25,sK26,sK26,sK25,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_9256]) ).
cnf(c_18687,plain,
( ~ eqangle(sK25,sK26,sK21,sK21,sK26,sK25,sK21,sK21)
| eqangle(sK25,sK26,sK26,sK25,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_18682]) ).
cnf(c_19007,plain,
( ~ para(X0,X1,sK28,sK23)
| perp(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_58,c_7583]) ).
cnf(c_19009,plain,
( ~ para(X0,X1,sK27,sK23)
| perp(X0,X1,sK21,sK20) ),
inference(resolution,[status(thm)],[c_58,c_7584]) ).
cnf(c_19693,plain,
( ~ para(X0,X1,X2,sK20)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK20)
| midp(X1,X3,sK20) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_19694,plain,
( ~ para(sK21,sK21,sK21,sK20)
| ~ coll(sK21,sK21,sK20)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_19693]) ).
cnf(c_20269,plain,
( ~ para(sK21,sK20,sK21,sK20)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14490,c_113]) ).
cnf(c_20293,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(X0,sK23,sK23)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_14463,c_113]) ).
cnf(c_20294,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_14489,c_113]) ).
cnf(c_20303,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_20294]) ).
cnf(c_20304,plain,
( ~ para(sK23,sK25,sK23,sK25)
| ~ midp(sK21,sK23,sK23)
| midp(sK21,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_20293]) ).
cnf(c_20307,plain,
( ~ para(sK21,sK20,sK21,sK20)
| ~ midp(sK21,sK21,sK21)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20269]) ).
cnf(c_21516,plain,
( ~ eqangle(sK25,sK26,sK25,sK26,X0,X1,X0,X1)
| ~ perp(X0,X1,X0,X1)
| perp(sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_8216]) ).
cnf(c_21518,plain,
( ~ eqangle(sK25,sK26,sK25,sK26,sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| perp(sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_21516]) ).
cnf(c_21550,plain,
( ~ eqangle(sK25,sK26,sK26,sK25,X0,X1,X0,X1)
| ~ perp(X0,X1,X0,X1)
| perp(sK25,sK26,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_8216]) ).
cnf(c_21552,plain,
( ~ eqangle(sK25,sK26,sK26,sK25,sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| perp(sK25,sK26,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_21550]) ).
cnf(c_23712,plain,
( ~ perp(X0,sK22,X1,X2)
| ~ midp(sK28,X3,X0)
| perp(sK21,X3,X1,X2) ),
inference(superposition,[status(thm)],[c_7305,c_58]) ).
cnf(c_23835,plain,
( ~ midp(sK28,X0,sK21)
| perp(sK21,X0,sK28,sK23) ),
inference(superposition,[status(thm)],[c_170,c_23712]) ).
cnf(c_27478,plain,
( ~ para(X0,X1,X2,sK20)
| ~ para(X0,sK20,X2,X1)
| ~ midp(sK28,X0,X2)
| midp(sK28,sK20,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_27479,plain,
( ~ para(sK21,sK20,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK20)
| ~ midp(sK28,sK21,sK21)
| midp(sK28,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_27478]) ).
cnf(c_27550,plain,
( ~ perp(sK28,X0,sK21,X1)
| ~ midp(X0,sK21,X1)
| cong(sK28,sK21,sK28,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_27551,plain,
( ~ perp(sK28,sK21,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| cong(sK28,sK21,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_27550]) ).
cnf(c_27753,plain,
( ~ perp(sK25,sK26,X0,X1)
| ~ perp(sK25,sK26,sK25,sK26)
| para(sK25,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_8203]) ).
cnf(c_27757,plain,
( ~ perp(sK25,sK26,sK25,sK26)
| ~ perp(sK25,sK26,sK21,sK21)
| para(sK25,sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_27753]) ).
cnf(c_29264,plain,
( ~ perp(sK25,sK26,sK26,sK25)
| ~ midp(X0,sK25,sK25)
| cong(sK25,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_8958]) ).
cnf(c_29268,plain,
( ~ perp(sK25,sK26,sK26,sK25)
| ~ midp(sK21,sK25,sK25)
| cong(sK25,sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_29264]) ).
cnf(c_29306,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK28,sK23)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_19007,c_57]) ).
cnf(c_29308,plain,
( ~ para(sK21,sK21,sK28,sK23)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_29306]) ).
cnf(c_29875,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK27,sK23)
| para(X0,X1,sK21,sK20) ),
inference(resolution,[status(thm)],[c_19009,c_57]) ).
cnf(c_29877,plain,
( ~ para(sK21,sK21,sK27,sK23)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_29875]) ).
cnf(c_32137,plain,
( ~ midp(sK28,sK20,sK21)
| para(sK27,sK23,sK28,sK23) ),
inference(superposition,[status(thm)],[c_23835,c_10665]) ).
cnf(c_33478,plain,
( ~ para(sK27,sK23,sK28,sK23)
| ~ midp(X0,sK27,sK28)
| ~ midp(sK28,sK20,sK21)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_32137,c_113]) ).
cnf(c_33487,plain,
( ~ para(sK27,sK23,sK28,sK23)
| ~ midp(sK21,sK27,sK28)
| ~ midp(sK28,sK20,sK21)
| midp(sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_33478]) ).
cnf(c_34603,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X4,sK20,X0,X1)
| para(X4,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_34604,plain,
( ~ perp(sK21,sK20,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21)
| para(sK21,sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_34603]) ).
cnf(c_36272,plain,
( ~ cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK20,sK20)
| perp(X0,X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_11607]) ).
cnf(c_36273,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ midp(sK21,sK20,sK20)
| perp(sK21,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_36272]) ).
cnf(c_36321,plain,
( ~ cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK22,sK22)
| perp(X0,X0,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_11607]) ).
cnf(c_36322,plain,
( ~ cong(sK21,sK21,sK21,sK21)
| ~ midp(sK21,sK22,sK22)
| perp(sK21,sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_36321]) ).
cnf(c_36323,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36322,c_36273,c_34604,c_33487,c_32137,c_29877,c_29308,c_29268,c_27757,c_27551,c_27479,c_21552,c_21518,c_20307,c_20304,c_20303,c_19694,c_18687,c_18652,c_17912,c_17790,c_17788,c_13617,c_13614,c_13574,c_13524,c_12131,c_11838,c_11596,c_11471,c_11470,c_11424,c_10250,c_10234,c_10194,c_8837,c_8215,c_8121,c_7638,c_7621,c_7544,c_7064,c_6804,c_6795,c_6196,c_6190,c_6189,c_5895,c_5893,c_5613,c_5516,c_5226,c_5203,c_4933,c_4931,c_4855,c_4844,c_4843,c_237,c_204,c_188,c_183,c_179,c_176,c_162,c_163,c_170,c_172,c_171,c_173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO655+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:14:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 46.81/7.19 % SZS status Started for theBenchmark.p
% 46.81/7.19 % SZS status Theorem for theBenchmark.p
% 46.81/7.19
% 46.81/7.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.81/7.19
% 46.81/7.19 ------ iProver source info
% 46.81/7.19
% 46.81/7.19 git: date: 2024-05-02 19:28:25 +0000
% 46.81/7.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.81/7.19 git: non_committed_changes: false
% 46.81/7.19
% 46.81/7.19 ------ Parsing...
% 46.81/7.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 46.81/7.19
% 46.81/7.19 ------ 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
% 46.81/7.19
% 46.81/7.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.81/7.19
% 46.81/7.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 46.81/7.19 ------ Proving...
% 46.81/7.19 ------ Problem Properties
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19 clauses 124
% 46.81/7.19 conjectures 12
% 46.81/7.19 EPR 87
% 46.81/7.19 Horn 114
% 46.81/7.19 unary 12
% 46.81/7.19 binary 37
% 46.81/7.19 lits 340
% 46.81/7.19 lits eq 4
% 46.81/7.19 fd_pure 0
% 46.81/7.19 fd_pseudo 0
% 46.81/7.19 fd_cond 0
% 46.81/7.19 fd_pseudo_cond 4
% 46.81/7.19 AC symbols 0
% 46.81/7.19
% 46.81/7.19 ------ Input Options Time Limit: Unbounded
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19 ------
% 46.81/7.19 Current options:
% 46.81/7.19 ------
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19 ------ Proving...
% 46.81/7.19
% 46.81/7.19
% 46.81/7.19 % SZS status Theorem for theBenchmark.p
% 46.81/7.19
% 46.81/7.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.81/7.20
% 46.81/7.20
%------------------------------------------------------------------------------