TSTP Solution File: GEO546+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:41 EDT 2023
% Result : Theorem 24.35s 4.07s
% Output : CNFRefutation 24.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 34
% Syntax : Number of formulae : 464 ( 111 unt; 0 def)
% Number of atoms : 1068 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1079 ( 475 ~; 466 |; 86 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 928 ( 0 sgn; 619 !; 18 ?)
% 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(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD13) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
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(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(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
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(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(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).
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(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(f95,conjecture,
! [X0,X1,X2,X4,X5,X13] :
( ( coll(X13,X0,X5)
& coll(X13,X2,X4)
& coll(X5,X1,X2)
& perp(X5,X0,X1,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1) )
=> perp(X1,X13,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X4,X5,X13] :
( ( coll(X13,X0,X5)
& coll(X13,X2,X4)
& coll(X5,X1,X2)
& perp(X5,X0,X1,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1) )
=> perp(X1,X13,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(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(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(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
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] :
( ( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> perp(X1,X5,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(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(flattening,[],[f185]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(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(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(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(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(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f136]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f252]) ).
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(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(f319,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> ( ~ perp(sK21,sK25,sK20,sK22)
& coll(sK25,sK20,sK24)
& coll(sK25,sK22,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK21,sK25,sK20,sK22)
& coll(sK25,sK20,sK24)
& coll(sK25,sK22,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25])],[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(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(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(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(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(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(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f253]) ).
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(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(f473,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK25,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
~ perp(sK21,sK25,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_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_61,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X4)
| cyclic(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_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_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
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_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_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_106,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[],[f417]) ).
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_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_162,negated_conjecture,
~ perp(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,negated_conjecture,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_164,negated_conjecture,
coll(sK25,sK22,sK23),
inference(cnf_transformation,[],[f477]) ).
cnf(c_165,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_166,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_167,negated_conjecture,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f474]) ).
cnf(c_168,negated_conjecture,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_174,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_177,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_183,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_232,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_360,plain,
( ~ coll(sK23,sK20,sK21)
| coll(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_361,plain,
( ~ coll(sK25,sK20,sK24)
| coll(sK20,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_364,plain,
( ~ coll(sK23,sK20,sK21)
| coll(sK20,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_367,plain,
( ~ perp(sK24,sK20,sK21,sK22)
| perp(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_368,plain,
( ~ perp(sK23,sK22,sK20,sK21)
| perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_373,plain,
( ~ coll(sK24,sK21,X0)
| ~ coll(sK24,sK21,sK22)
| coll(X0,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_374,plain,
( ~ coll(sK24,sK21,sK20)
| ~ coll(sK24,sK21,sK22)
| coll(sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_373]) ).
cnf(c_377,plain,
( ~ perp(X0,X1,sK24,sK20)
| ~ perp(sK24,sK20,sK21,sK22)
| para(X0,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_379,plain,
( ~ perp(X0,X1,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21)
| para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_380,plain,
( ~ perp(sK20,sK20,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_419,plain,
( ~ coll(sK23,sK21,sK20)
| coll(sK21,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_426,plain,
( ~ coll(sK20,sK25,sK24)
| coll(sK20,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_431,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_432,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_433,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_434,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_441,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_443,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_444,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_453,plain,
( ~ coll(sK20,sK23,X0)
| ~ coll(sK20,sK23,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_454,plain,
( ~ coll(sK20,sK23,sK21)
| ~ coll(sK20,sK23,sK20)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_473,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_434,c_50]) ).
cnf(c_492,plain,
coll(sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_444,c_49]) ).
cnf(c_599,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_600,plain,
( ~ coll(sK23,sK20,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_601,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_431,c_51]) ).
cnf(c_602,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_432,c_51]) ).
cnf(c_603,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_433,c_51]) ).
cnf(c_604,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_434,c_51]) ).
cnf(c_605,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_441,c_51]) ).
cnf(c_607,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_443,c_51]) ).
cnf(c_608,plain,
( ~ coll(sK20,sK23,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_444,c_51]) ).
cnf(c_610,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_492,c_51]) ).
cnf(c_614,plain,
( ~ coll(sK21,sK23,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_473,c_51]) ).
cnf(c_625,plain,
( ~ coll(sK21,sK23,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_629,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_610]) ).
cnf(c_632,plain,
( ~ coll(sK21,sK24,sK20)
| coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_607]) ).
cnf(c_685,plain,
( ~ coll(X0,sK24,X1)
| ~ coll(X0,sK24,sK25)
| coll(X1,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_710,plain,
( ~ coll(X0,sK22,sK24)
| coll(X0,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_711,plain,
( ~ coll(sK20,sK22,sK24)
| coll(sK20,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_710]) ).
cnf(c_717,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_165,c_599]) ).
cnf(c_724,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_717,c_51]) ).
cnf(c_728,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_167,c_600]) ).
cnf(c_744,plain,
( ~ perp(sK21,X0,sK24,sK20)
| ~ perp(sK24,sK20,sK21,sK22)
| para(sK21,X0,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_754,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_728,c_49]) ).
cnf(c_763,plain,
( ~ coll(sK21,sK23,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_754,c_51]) ).
cnf(c_766,plain,
( ~ coll(sK21,sK23,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_763]) ).
cnf(c_771,plain,
( ~ perp(sK20,sK21,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21)
| para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_792,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_431,c_601]) ).
cnf(c_796,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_792,c_49]) ).
cnf(c_798,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_432,c_602]) ).
cnf(c_815,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_798,c_49]) ).
cnf(c_817,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_433,c_603]) ).
cnf(c_819,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_817,c_51]) ).
cnf(c_821,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_817,c_49]) ).
cnf(c_822,plain,
( ~ coll(sK21,sK21,sK20)
| coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_819]) ).
cnf(c_836,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_434,c_604]) ).
cnf(c_840,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_836,c_49]) ).
cnf(c_845,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_796,c_51]) ).
cnf(c_848,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_845]) ).
cnf(c_862,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_815,c_51]) ).
cnf(c_865,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_862]) ).
cnf(c_867,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_821,c_50]) ).
cnf(c_899,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_441,c_605]) ).
cnf(c_924,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_443,c_607]) ).
cnf(c_954,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_924,c_49]) ).
cnf(c_956,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_444,c_608]) ).
cnf(c_1060,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_1089,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_867,c_51]) ).
cnf(c_1098,plain,
( ~ coll(sK24,sK21,sK20)
| coll(sK21,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1089]) ).
cnf(c_1154,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_165,c_1060]) ).
cnf(c_1165,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_1154,c_724]) ).
cnf(c_1207,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_1217,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_1228,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_1165,c_51]) ).
cnf(c_1232,plain,
( ~ coll(sK24,sK24,sK20)
| coll(sK22,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1228]) ).
cnf(c_1355,plain,
( ~ midp(sK22,sK20,sK21)
| cong(sK23,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
cnf(c_1365,plain,
( ~ perp(sK21,sK22,sK24,sK20)
| ~ perp(sK24,sK20,sK21,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_744]) ).
cnf(c_1472,plain,
( ~ coll(X0,sK24,sK25)
| ~ coll(X0,sK24,sK22)
| coll(sK22,sK25,X0) ),
inference(instantiation,[status(thm)],[c_685]) ).
cnf(c_1473,plain,
( ~ coll(sK20,sK24,sK25)
| ~ coll(sK20,sK24,sK22)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_1472]) ).
cnf(c_1478,plain,
( ~ coll(sK24,X0,sK21)
| coll(sK24,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1479,plain,
( ~ coll(sK24,sK20,sK21)
| coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_1478]) ).
cnf(c_1490,plain,
( ~ coll(sK21,X0,sK24)
| coll(sK21,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1491,plain,
( ~ coll(sK21,sK20,sK24)
| coll(sK21,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1490]) ).
cnf(c_1525,plain,
( ~ coll(sK23,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1355,c_116]) ).
cnf(c_1647,plain,
( ~ cong(sK23,sK20,sK23,X0)
| ~ midp(sK22,sK20,sK21)
| circle(sK23,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_1355,c_60]) ).
cnf(c_1777,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[status(thm)],[c_56,c_168]) ).
cnf(c_2461,plain,
( ~ midp(sK22,sK20,sK21)
| circle(sK23,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_1355,c_1647]) ).
cnf(c_2518,plain,
( ~ coll(sK23,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_2461,c_102]) ).
cnf(c_2815,plain,
perp(sK23,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
cnf(c_2816,plain,
perp(sK21,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_2817,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_2829,plain,
perp(sK20,sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_2817,c_55]) ).
cnf(c_2928,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_2931,plain,
( ~ perp(sK24,sK20,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_2816,c_57]) ).
cnf(c_2932,plain,
( ~ perp(sK23,sK22,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_2817,c_57]) ).
cnf(c_2963,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_2829,c_2928]) ).
cnf(c_2978,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_2963,c_53]) ).
cnf(c_3008,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_2978,c_52]) ).
cnf(c_3184,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_166,c_2931]) ).
cnf(c_3250,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_3184,c_94]) ).
cnf(c_3263,plain,
( ~ coll(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_3250]) ).
cnf(c_3296,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_2932]) ).
cnf(c_3297,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_2815,c_2932]) ).
cnf(c_3300,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_3296,c_94]) ).
cnf(c_3306,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3300]) ).
cnf(c_3313,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_3297,c_53]) ).
cnf(c_3407,plain,
( ~ coll(sK22,X0,sK24)
| coll(sK22,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3408,plain,
( ~ coll(sK22,sK20,sK24)
| coll(sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_3407]) ).
cnf(c_3614,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_3313,c_52]) ).
cnf(c_3719,plain,
( ~ eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| eqangle(X0,X1,sK20,sK21,X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_3728,plain,
( ~ eqangle(sK20,sK21,sK20,X0,sK20,sK21,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK21,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_3730,plain,
( ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3728]) ).
cnf(c_3731,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,sK21,X0,sK20,sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_1207]) ).
cnf(c_4755,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_3296,c_113]) ).
cnf(c_4758,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_3184,c_113]) ).
cnf(c_4780,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_4755]) ).
cnf(c_5089,plain,
( ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_4758,c_166,c_367,c_1365,c_4758]) ).
cnf(c_5091,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_5089]) ).
cnf(c_5814,plain,
( ~ para(X0,X1,sK23,sK22)
| perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_168]) ).
cnf(c_5822,plain,
( ~ para(X0,X1,sK20,sK21)
| perp(X0,X1,sK23,sK22) ),
inference(resolution,[status(thm)],[c_58,c_1777]) ).
cnf(c_6082,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK23,sK22)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_5814,c_57]) ).
cnf(c_6354,plain,
( ~ para(X0,X1,sK20,sK21)
| perp(sK23,sK22,X0,X1) ),
inference(resolution,[status(thm)],[c_5822,c_56]) ).
cnf(c_7238,plain,
( ~ coll(sK20,X0,sK20)
| ~ coll(sK20,X0,sK22)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7239,plain,
( ~ coll(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK22)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7238]) ).
cnf(c_7434,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_7435,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_7444,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_7434,c_50]) ).
cnf(c_7485,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_7493,plain,
perp(sK20,sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_7485,c_55]) ).
cnf(c_7511,plain,
( ~ coll(sK25,sK23,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_7435,c_51]) ).
cnf(c_7576,plain,
( ~ midp(sK22,sK20,sK21)
| cong(sK23,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
cnf(c_7620,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_7635,plain,
( ~ cong(sK23,sK20,sK23,X0)
| ~ midp(sK22,sK20,sK21)
| circle(sK23,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7576,c_60]) ).
cnf(c_7644,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_7493,c_7620]) ).
cnf(c_7661,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_7644,c_53]) ).
cnf(c_7663,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_7435,c_7511]) ).
cnf(c_7667,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_7663,c_724]) ).
cnf(c_7846,plain,
( ~ midp(sK22,sK20,sK21)
| circle(sK23,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7576,c_7635]) ).
cnf(c_7899,plain,
( ~ coll(sK23,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7846,c_102]) ).
cnf(c_8165,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_7667,c_51]) ).
cnf(c_8452,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_7661,c_52]) ).
cnf(c_8495,plain,
( ~ para(sK22,sK23,sK22,sK23)
| ~ midp(X0,sK22,sK22)
| midp(X0,sK23,sK23) ),
inference(superposition,[status(thm)],[c_8452,c_113]) ).
cnf(c_8504,plain,
( ~ para(sK22,sK23,sK22,sK23)
| ~ midp(sK20,sK22,sK22)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_8495]) ).
cnf(c_8709,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_7444,c_8165]) ).
cnf(c_8813,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_8709,c_49]) ).
cnf(c_9212,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_8813,c_51]) ).
cnf(c_9217,plain,
( ~ coll(sK22,sK24,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9212]) ).
cnf(c_9691,plain,
( ~ cyclic(sK21,X0,sK20,X1)
| ~ cyclic(sK21,X0,sK20,sK20)
| cyclic(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_9692,plain,
( ~ cyclic(sK21,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9691]) ).
cnf(c_10470,plain,
( ~ para(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK23,sK22)
| para(sK23,sK22,sK20,sK21) ),
inference(resolution,[status(thm)],[c_6354,c_6082]) ).
cnf(c_10471,plain,
( ~ para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK20,sK23,sK22)
| para(sK23,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10470]) ).
cnf(c_12472,plain,
( ~ perp(sK21,sK25,sK22,sK20)
| perp(sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_12722,plain,
( ~ perp(sK20,sK21,X0,X1)
| perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_14096,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK23,sK22)
| para(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_14097,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK23,sK22)
| para(sK20,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_14096]) ).
cnf(c_14178,plain,
( ~ midp(sK22,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_7899,c_167,c_2518]) ).
cnf(c_14181,plain,
( ~ midp(sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14178,c_104]) ).
cnf(c_16623,plain,
( ~ perp(sK22,sK20,sK21,sK25)
| perp(sK21,sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_17232,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_956,c_49]) ).
cnf(c_17234,plain,
coll(sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_17236,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_17253,plain,
coll(sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_17236,c_49]) ).
cnf(c_17271,plain,
perp(sK23,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
cnf(c_17272,plain,
perp(sK21,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_17273,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_17299,plain,
( ~ coll(sK23,sK20,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_17305,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_17234,c_51]) ).
cnf(c_17334,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_167,c_17299]) ).
cnf(c_17337,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_17334,c_49]) ).
cnf(c_17341,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_3614,c_52]) ).
cnf(c_17343,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_17341,c_53]) ).
cnf(c_17405,plain,
( ~ midp(sK22,sK20,sK21)
| cong(sK23,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
cnf(c_17409,plain,
( ~ midp(sK21,sK23,sK22)
| cong(sK20,sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_17273,c_104]) ).
cnf(c_17447,plain,
( ~ perp(sK21,sK20,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_17271,c_57]) ).
cnf(c_17448,plain,
( ~ perp(sK24,sK20,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_17272,c_57]) ).
cnf(c_17449,plain,
( ~ perp(sK23,sK22,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_17273,c_57]) ).
cnf(c_17460,plain,
( ~ cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X3)
| circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_60]) ).
cnf(c_17472,plain,
( ~ midp(sK23,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| circle(sK23,sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_17405,c_17460]) ).
cnf(c_17502,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_17234,c_17305]) ).
cnf(c_17574,plain,
( ~ cong(sK20,sK22,X0,X1)
| ~ midp(sK21,sK23,sK22)
| cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_17409,c_73]) ).
cnf(c_17575,plain,
( ~ midp(sK21,sK23,sK22)
| cong(sK20,sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_17409,c_72]) ).
cnf(c_17634,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_166,c_17448]) ).
cnf(c_17663,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_17449]) ).
cnf(c_17676,plain,
( ~ coll(sK23,sK20,X0)
| ~ midp(sK23,sK20,X0)
| ~ midp(sK22,sK20,sK21)
| perp(sK20,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_17472,c_102]) ).
cnf(c_17677,plain,
( ~ coll(sK23,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK23,sK20,sK20)
| perp(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_17676]) ).
cnf(c_17811,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_17663,c_94]) ).
cnf(c_17813,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_17634,c_94]) ).
cnf(c_17923,plain,
( ~ coll(sK22,sK21,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_954,c_51]) ).
cnf(c_17933,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_17232,c_17811]) ).
cnf(c_18068,plain,
midp(sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_17933,c_167,c_168,c_174,c_177,c_232,c_360,c_368,c_419,c_766,c_771,c_796,c_848,c_1217,c_3306,c_3730,c_9692]) ).
cnf(c_18070,plain,
( ~ midp(sK21,X0,X1)
| para(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_18068,c_112]) ).
cnf(c_18321,plain,
( ~ cong(sK23,sK20,sK23,X0)
| ~ cong(sK23,sK20,sK23,X1)
| ~ midp(sK22,sK20,sK21)
| cyclic(sK20,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_17405,c_61]) ).
cnf(c_18397,plain,
( ~ cong(sK23,sK20,sK23,X0)
| ~ midp(sK22,sK20,sK21)
| cyclic(sK20,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_17405,c_18321]) ).
cnf(c_18402,plain,
( ~ midp(sK22,sK20,sK21)
| cyclic(sK20,sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_17405,c_18397]) ).
cnf(c_18517,plain,
( ~ cong(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| perp(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_18402,c_106]) ).
cnf(c_18654,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_17253,c_610]) ).
cnf(c_18657,plain,
( ~ coll(sK23,sK23,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_18654,c_51]) ).
cnf(c_18706,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_17502,c_18657]) ).
cnf(c_18733,plain,
coll(sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_18706,c_49]) ).
cnf(c_19176,plain,
coll(sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_17337,c_763]) ).
cnf(c_19184,plain,
( ~ midp(sK20,sK21,sK20)
| midp(sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_19176,c_17811]) ).
cnf(c_20219,plain,
( ~ coll(sK20,sK23,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_18733,c_51]) ).
cnf(c_21353,plain,
( ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK23,X1,sK23)
| perp(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_21354,plain,
( ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK23,sK20,sK23)
| perp(sK20,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_21353]) ).
cnf(c_21935,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_17236,c_20219]) ).
cnf(c_21947,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_21935,c_17923]) ).
cnf(c_21958,plain,
( ~ midp(sK21,sK20,sK21)
| midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_21947,c_17813]) ).
cnf(c_22004,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_21958,c_167,c_165,c_163,c_168,c_174,c_177,c_232,c_360,c_361,c_368,c_374,c_419,c_426,c_711,c_766,c_771,c_796,c_822,c_848,c_865,c_956,c_1217,c_1473,c_1479,c_3263,c_3306,c_3730,c_9692]) ).
cnf(c_22009,plain,
midp(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_22004,c_59]) ).
cnf(c_22758,plain,
( ~ midp(sK22,X0,X1)
| para(sK22,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_22009,c_112]) ).
cnf(c_22763,plain,
( ~ midp(sK22,sK20,sK20)
| para(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22758]) ).
cnf(c_23235,plain,
( ~ para(sK20,sK20,sK21,sK21)
| ~ midp(X0,sK20,sK21)
| midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_17343,c_113]) ).
cnf(c_24561,plain,
( ~ para(sK22,sK20,X0,X1)
| ~ perp(X0,X1,sK21,sK25)
| perp(sK22,sK20,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_24562,plain,
( ~ para(sK22,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK25)
| perp(sK22,sK20,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_24561]) ).
cnf(c_24686,plain,
( ~ perp(sK20,sK21,sK21,X0)
| perp(sK21,X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12722]) ).
cnf(c_24688,plain,
( ~ perp(sK20,sK21,sK21,sK20)
| perp(sK21,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24686]) ).
cnf(c_25091,plain,
( ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_25092,plain,
( ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK25,sK20,sK25)
| perp(sK20,sK20,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_25091]) ).
cnf(c_25267,plain,
( ~ midp(X0,sK23,sK23)
| cong(X0,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_25269,plain,
( ~ midp(sK20,sK23,sK23)
| cong(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_25267]) ).
cnf(c_25288,plain,
( ~ midp(X0,sK22,sK22)
| cong(X0,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_25290,plain,
( ~ midp(sK20,sK22,sK22)
| cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_25288]) ).
cnf(c_26350,plain,
( ~ midp(sK21,sK23,sK22)
| cong(sK20,sK23,sK20,sK23) ),
inference(superposition,[status(thm)],[c_17575,c_17574]) ).
cnf(c_26686,plain,
cong(sK20,sK23,sK20,sK23),
inference(global_subsumption_just,[status(thm)],[c_26350,c_168,c_174,c_177,c_232,c_368,c_771,c_796,c_848,c_1217,c_3008,c_3730,c_4780,c_5091,c_8504,c_9692,c_25269]) ).
cnf(c_26699,plain,
cong(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_26686,c_71]) ).
cnf(c_27157,plain,
cong(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_26699,c_72]) ).
cnf(c_27182,plain,
cong(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_27157,c_71]) ).
cnf(c_27321,plain,
( ~ coll(sK23,sK20,sK20)
| midp(sK23,sK20,sK20) ),
inference(superposition,[status(thm)],[c_27182,c_116]) ).
cnf(c_27611,plain,
( ~ eqangle(sK21,sK25,X0,X1,X2,X3,X0,X1)
| para(sK21,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_29063,plain,
( ~ midp(sK22,sK20,sK21)
| perp(sK21,sK20,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_18517,c_167,c_364,c_454,c_629,c_840,c_17677,c_24688,c_27321]) ).
cnf(c_29074,plain,
( ~ midp(sK22,sK20,sK21)
| para(sK23,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_29063,c_17447]) ).
cnf(c_29111,plain,
para(sK23,sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_29074,c_168,c_174,c_177,c_183,c_232,c_368,c_380,c_771,c_796,c_848,c_1217,c_3008,c_3730,c_4780,c_5091,c_8504,c_9692,c_10471,c_14097,c_21354,c_25269,c_25290]) ).
cnf(c_29114,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK23,X0,sK20)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_29111,c_94]) ).
cnf(c_29118,plain,
para(sK23,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_29111,c_52]) ).
cnf(c_29121,plain,
( ~ coll(sK22,sK20,sK21)
| ~ midp(sK23,sK20,sK20)
| midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_29114]) ).
cnf(c_29377,plain,
( ~ coll(sK22,X0,sK20)
| ~ midp(sK23,X0,sK21)
| midp(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_29118,c_94]) ).
cnf(c_29384,plain,
( ~ coll(sK22,sK20,sK20)
| ~ midp(sK23,sK20,sK21)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29377]) ).
cnf(c_33600,plain,
( ~ eqangle(sK21,sK25,sK20,sK21,sK21,sK25,sK20,sK21)
| para(sK21,sK25,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_27611]) ).
cnf(c_33601,plain,
( ~ eqangle(sK20,sK21,sK21,sK25,sK20,sK21,sK21,sK25)
| eqangle(sK21,sK25,sK20,sK21,sK21,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3719]) ).
cnf(c_34807,plain,
( ~ midp(X0,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_18070,c_23235]) ).
cnf(c_34808,plain,
( ~ midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK21)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_34807]) ).
cnf(c_35850,plain,
perp(sK23,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
cnf(c_35853,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_35857,plain,
perp(sK21,sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_35850,c_56]) ).
cnf(c_35981,plain,
( ~ midp(sK22,sK20,sK21)
| cong(sK23,sK20,sK23,sK21) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
cnf(c_35999,plain,
cong(sK23,sK20,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_35981,c_167,c_364,c_454,c_629,c_632,c_822,c_840,c_956,c_1098,c_1355,c_1479,c_1491,c_27321,c_29121]) ).
cnf(c_36002,plain,
cong(sK23,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_35999,c_72]) ).
cnf(c_36020,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_36022,plain,
( ~ perp(sK21,sK20,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_35850,c_57]) ).
cnf(c_36026,plain,
( ~ perp(sK23,sK22,X0,X1)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_35857,c_57]) ).
cnf(c_36035,plain,
( ~ cong(sK23,sK20,sK23,X0)
| circle(sK23,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_35999,c_60]) ).
cnf(c_36084,plain,
( ~ cong(sK23,sK20,X0,X1)
| cong(sK23,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_36002,c_73]) ).
cnf(c_36254,plain,
circle(sK23,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_35999,c_36035]) ).
cnf(c_36255,plain,
( ~ coll(sK23,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_36254,c_102]) ).
cnf(c_38025,plain,
perp(sK20,sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_36255,c_167,c_364,c_454,c_629,c_632,c_822,c_840,c_956,c_1098,c_1479,c_1491,c_2518,c_27321,c_29121]) ).
cnf(c_38038,plain,
para(sK23,sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_38025,c_36020]) ).
cnf(c_38288,plain,
cong(sK23,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_35999,c_36084]) ).
cnf(c_38298,plain,
( ~ cong(sK23,sK21,sK23,X0)
| circle(sK23,sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_38288,c_60]) ).
cnf(c_38409,plain,
circle(sK23,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_36002,c_38298]) ).
cnf(c_38433,plain,
( ~ coll(sK23,sK21,sK21)
| perp(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_38409,c_102]) ).
cnf(c_38840,plain,
perp(sK21,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_38433,c_167,c_364,c_454,c_629,c_632,c_822,c_840,c_956,c_1098,c_1479,c_1491,c_27321,c_29063,c_29121]) ).
cnf(c_38852,plain,
para(sK23,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_38840,c_36022]) ).
cnf(c_38879,plain,
( ~ perp(sK20,sK21,X0,X1)
| perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_38852,c_58]) ).
cnf(c_39386,plain,
perp(sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_35853,c_38879]) ).
cnf(c_39394,plain,
para(sK21,sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_39386,c_36026]) ).
cnf(c_39416,plain,
( ~ para(sK23,sK22,X0,X1)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_39394,c_54]) ).
cnf(c_39987,plain,
para(sK21,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_38038,c_39416]) ).
cnf(c_39997,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK21)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_39987,c_94]) ).
cnf(c_40005,plain,
( ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_39997]) ).
cnf(c_45314,plain,
( ~ para(sK20,sK21,sK20,sK21)
| eqangle(sK20,sK21,sK21,sK25,sK20,sK21,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_3731]) ).
cnf(c_50763,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK25,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_51370,plain,
( ~ midp(sK20,sK25,X0)
| cong(sK20,sK25,sK20,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_52932,plain,
( ~ para(sK21,sK25,sK21,sK25)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_50763]) ).
cnf(c_52933,plain,
( ~ para(sK21,sK25,sK21,sK25)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_52932]) ).
cnf(c_55255,plain,
( ~ midp(sK20,sK25,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_51370]) ).
cnf(c_55256,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55255,c_52933,c_45314,c_40005,c_34808,c_33601,c_33600,c_29384,c_29121,c_27321,c_25092,c_24562,c_22763,c_19184,c_16623,c_14181,c_12472,c_9692,c_9217,c_7239,c_4780,c_3730,c_3408,c_3306,c_1525,c_1491,c_1479,c_1232,c_1217,c_1098,c_956,c_899,c_848,c_840,c_822,c_796,c_771,c_766,c_632,c_629,c_625,c_454,c_419,c_368,c_364,c_360,c_232,c_177,c_174,c_162,c_168,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 23:29:02 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.35/4.07 % SZS status Started for theBenchmark.p
% 24.35/4.07 % SZS status Theorem for theBenchmark.p
% 24.35/4.07
% 24.35/4.07 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.35/4.07
% 24.35/4.07 ------ iProver source info
% 24.35/4.07
% 24.35/4.07 git: date: 2023-05-31 18:12:56 +0000
% 24.35/4.07 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.35/4.07 git: non_committed_changes: false
% 24.35/4.07 git: last_make_outside_of_git: false
% 24.35/4.07
% 24.35/4.07 ------ Parsing...
% 24.35/4.07 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.35/4.07
% 24.35/4.07 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 24.35/4.07
% 24.35/4.07 ------ Preprocessing...
% 24.35/4.07
% 24.35/4.07 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.35/4.07 ------ Proving...
% 24.35/4.07 ------ Problem Properties
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07 clauses 119
% 24.35/4.07 conjectures 7
% 24.35/4.07 EPR 82
% 24.35/4.07 Horn 109
% 24.35/4.07 unary 7
% 24.35/4.07 binary 37
% 24.35/4.07 lits 335
% 24.35/4.07 lits eq 4
% 24.35/4.07 fd_pure 0
% 24.35/4.07 fd_pseudo 0
% 24.35/4.07 fd_cond 0
% 24.35/4.07 fd_pseudo_cond 4
% 24.35/4.07 AC symbols 0
% 24.35/4.07
% 24.35/4.07 ------ Input Options Time Limit: Unbounded
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07 ------
% 24.35/4.07 Current options:
% 24.35/4.07 ------
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07 ------ Proving...
% 24.35/4.07
% 24.35/4.07
% 24.35/4.07 % SZS status Theorem for theBenchmark.p
% 24.35/4.07
% 24.35/4.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.35/4.08
% 24.35/4.08
%------------------------------------------------------------------------------