TSTP Solution File: GEO575+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 23:11:51 EDT 2023
% Result : Theorem 31.37s 5.24s
% Output : CNFRefutation 31.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 282 ( 43 unt; 0 def)
% Number of atoms : 719 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 746 ( 309 ~; 300 |; 90 &)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 913 ( 0 sgn; 615 !; 27 ?)
% 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(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(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(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
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(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(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(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(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X13,X18,X19,X20,X21] :
( ( coll(X19,X0,X13)
& circle(X7,X0,X19,X21)
& coll(X18,X2,X13)
& circle(X7,X2,X18,X20)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13)
& circle(X7,X0,X1,X2) )
=> cong(X1,X19,X1,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X13,X18,X19,X20,X21] :
( ( coll(X19,X0,X13)
& circle(X7,X0,X19,X21)
& coll(X18,X2,X13)
& circle(X7,X2,X18,X20)
& perp(X1,X2,X0,X13)
& perp(X0,X2,X1,X13)
& perp(X0,X1,X2,X13)
& circle(X7,X0,X1,X2) )
=> cong(X1,X19,X1,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(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(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
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(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) )
=> cong(X1,X6,X1,X5) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(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(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(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(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(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& coll(X6,X0,X4)
& circle(X3,X0,X6,X8)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X7)
& perp(X1,X2,X0,X4)
& perp(X0,X2,X1,X4)
& perp(X0,X1,X2,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ cong(sK21,sK26,sK21,sK25)
& coll(sK26,sK20,sK24)
& circle(sK23,sK20,sK26,sK28)
& coll(sK25,sK22,sK24)
& circle(sK23,sK22,sK25,sK27)
& perp(sK21,sK22,sK20,sK24)
& perp(sK20,sK22,sK21,sK24)
& perp(sK20,sK21,sK22,sK24)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cong(sK21,sK26,sK21,sK25)
& coll(sK26,sK20,sK24)
& circle(sK23,sK20,sK26,sK28)
& coll(sK25,sK22,sK24)
& circle(sK23,sK22,sK25,sK27)
& perp(sK21,sK22,sK20,sK24)
& perp(sK20,sK22,sK21,sK24)
& perp(sK20,sK21,sK22,sK24)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(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(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(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(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(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f474,plain,
perp(sK20,sK21,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK21,sK22,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ cong(sK21,sK26,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_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_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
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_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_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_162,negated_conjecture,
~ cong(sK21,sK26,sK21,sK25),
inference(cnf_transformation,[],[f481]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f480]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_167,negated_conjecture,
perp(sK21,sK22,sK20,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
perp(sK20,sK21,sK22,sK24),
inference(cnf_transformation,[],[f474]) ).
cnf(c_176,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_185,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_384,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK22,sK24)
| para(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_385,plain,
( ~ perp(sK20,sK21,sK22,sK24)
| ~ perp(sK20,sK20,sK20,sK21)
| para(sK20,sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_428,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_442,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_591,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_594,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_595,plain,
( ~ coll(sK26,sK24,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_428,c_51]) ).
cnf(c_597,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_442,c_51]) ).
cnf(c_655,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_165,c_594]) ).
cnf(c_666,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_655,c_51]) ).
cnf(c_674,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_428,c_595]) ).
cnf(c_678,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_674,c_49]) ).
cnf(c_695,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_442,c_597]) ).
cnf(c_713,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_678,c_51]) ).
cnf(c_717,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_713]) ).
cnf(c_777,plain,
coll(sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_695,c_666]) ).
cnf(c_879,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_777,c_49]) ).
cnf(c_977,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_169,c_55]) ).
cnf(c_978,plain,
perp(sK20,sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_167,c_56]) ).
cnf(c_979,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_980,plain,
perp(sK22,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_169,c_56]) ).
cnf(c_1000,plain,
perp(sK22,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_980,c_55]) ).
cnf(c_1577,plain,
perp(sK22,sK24,sK20,sK21),
inference(resolution,[status(thm)],[c_56,c_169]) ).
cnf(c_1635,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
cnf(c_1637,plain,
( ~ perp(sK22,sK24,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_57]) ).
cnf(c_1640,plain,
( ~ perp(sK24,sK22,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_977,c_57]) ).
cnf(c_1642,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_979,c_57]) ).
cnf(c_1677,plain,
( ~ perp(sK22,sK24,sK20,sK20)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1637]) ).
cnf(c_1877,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_978,c_1635]) ).
cnf(c_1891,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_980,c_1637]) ).
cnf(c_1892,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_1000,c_1637]) ).
cnf(c_2021,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_1892,c_53]) ).
cnf(c_2216,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_2245,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X3,X0,X2,X1,X3,X1) ),
inference(superposition,[status(thm)],[c_89,c_69]) ).
cnf(c_2270,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X1,X0) ),
inference(superposition,[status(thm)],[c_591,c_71]) ).
cnf(c_2436,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_169,c_55]) ).
cnf(c_2452,plain,
perp(sK24,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_2436,c_56]) ).
cnf(c_2492,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_2452,c_1640]) ).
cnf(c_3787,plain,
( ~ para(sK21,sK22,sK21,sK22)
| eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_3797,plain,
( ~ para(sK21,sK22,sK21,sK22)
| eqangle(sK21,sK22,sK20,sK20,sK21,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3787]) ).
cnf(c_3800,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK22)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_3801,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK21,sK22)
| ~ para(sK21,sK22,sK21,sK22)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3800]) ).
cnf(c_4423,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_4427,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4423]) ).
cnf(c_4799,plain,
( ~ para(X0,X1,sK20,sK21)
| perp(X0,X1,sK22,sK24) ),
inference(resolution,[status(thm)],[c_58,c_169]) ).
cnf(c_4811,plain,
( ~ para(X0,X1,sK22,sK24)
| perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_1577]) ).
cnf(c_5312,plain,
( ~ para(X0,X1,sK20,sK21)
| perp(sK22,sK24,X0,X1) ),
inference(resolution,[status(thm)],[c_4799,c_56]) ).
cnf(c_5313,plain,
( ~ para(sK20,sK20,sK20,sK21)
| perp(sK22,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5312]) ).
cnf(c_5494,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK22,sK24)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_4811,c_57]) ).
cnf(c_5496,plain,
( ~ para(sK20,sK20,sK22,sK24)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_5494]) ).
cnf(c_5715,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_2492,c_113]) ).
cnf(c_5733,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_5715]) ).
cnf(c_7630,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_2021,c_52]) ).
cnf(c_7872,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_7630,c_115]) ).
cnf(c_10711,plain,
( ~ eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1)
| eqangle(sK21,sK22,sK21,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_10718,plain,
( ~ eqangle(sK21,sK22,sK20,sK20,sK21,sK22,sK20,sK20)
| eqangle(sK21,sK22,sK21,sK22,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10711]) ).
cnf(c_12538,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X3)
| cong(X1,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
cnf(c_12548,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12538]) ).
cnf(c_15863,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_15877,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_165,c_15863]) ).
cnf(c_15878,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_15877,c_51]) ).
cnf(c_15935,plain,
para(sK21,sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_168,c_1642]) ).
cnf(c_15939,plain,
coll(sK21,sK24,sK24),
inference(superposition,[status(thm)],[c_15935,c_115]) ).
cnf(c_15941,plain,
coll(sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_15939,c_50]) ).
cnf(c_16441,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_15941,c_49]) ).
cnf(c_19218,plain,
( ~ perp(X0,X1,sK20,sK21)
| perp(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_19219,plain,
( ~ perp(sK20,sK20,sK20,sK21)
| perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19218]) ).
cnf(c_19612,plain,
( ~ eqangle(sK21,sK22,sK21,sK22,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_19613,plain,
( ~ eqangle(sK21,sK22,sK21,sK22,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_19612]) ).
cnf(c_20961,plain,
( ~ cong(sK21,sK25,sK21,sK26)
| cong(sK21,sK26,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_21622,plain,
coll(sK25,sK21,sK24),
inference(superposition,[status(thm)],[c_16441,c_15878]) ).
cnf(c_21712,plain,
coll(sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_21622,c_49]) ).
cnf(c_21993,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_21712,c_51]) ).
cnf(c_21997,plain,
( ~ coll(sK25,sK24,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_21993]) ).
cnf(c_24697,plain,
( ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20)
| perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_24698,plain,
( ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_24697]) ).
cnf(c_24701,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,X1,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_24702,plain,
( ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_24701]) ).
cnf(c_31367,plain,
( ~ midp(X0,sK21,sK21)
| cong(X0,sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_31369,plain,
( ~ midp(sK20,sK21,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_31367]) ).
cnf(c_31398,plain,
( ~ para(X0,sK21,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK21,X3,X2)
| midp(sK21,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_31399,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31398]) ).
cnf(c_31722,plain,
( ~ midp(X0,sK25,sK25)
| cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_31724,plain,
( ~ midp(sK20,sK25,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_31722]) ).
cnf(c_54898,plain,
( ~ eqangle(sK20,sK26,X0,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(sK20,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_55034,plain,
( ~ cong(X0,X1,sK21,sK26)
| ~ cong(sK21,sK25,X0,X1)
| cong(sK21,sK25,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_55214,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_57383,plain,
( ~ para(X0,sK21,X1,sK25)
| ~ midp(X0,X2,X1)
| ~ coll(sK21,X2,sK25)
| midp(sK21,X2,sK25) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_57384,plain,
( ~ para(sK20,sK21,sK20,sK25)
| ~ coll(sK21,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_57383]) ).
cnf(c_57781,plain,
( ~ cong(X0,sK21,sK21,sK26)
| ~ cong(sK21,sK25,X0,sK21)
| cong(sK21,sK25,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_55034]) ).
cnf(c_57783,plain,
( ~ cong(sK21,sK25,sK20,sK21)
| ~ cong(sK20,sK21,sK21,sK26)
| cong(sK21,sK25,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_57781]) ).
cnf(c_57859,plain,
( ~ cong(X0,X1,sK26,sK21)
| cong(X0,X1,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_58742,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(sK20,sK26,X0,X1,sK20,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_2216]) ).
cnf(c_58743,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_58742]) ).
cnf(c_58761,plain,
( ~ eqangle(sK20,sK26,X0,sK26,sK20,X1,X0,X1)
| ~ perp(sK20,X1,X0,X1)
| perp(sK20,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_54898]) ).
cnf(c_58762,plain,
( ~ cyclic(sK26,X0,sK20,X1)
| eqangle(sK20,sK26,X1,sK26,sK20,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_2245]) ).
cnf(c_58763,plain,
( ~ eqangle(sK20,sK26,sK20,sK26,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_58761]) ).
cnf(c_58764,plain,
( ~ cyclic(sK26,sK20,sK20,sK20)
| eqangle(sK20,sK26,sK20,sK26,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_58762]) ).
cnf(c_59776,plain,
( ~ perp(X0,sK26,X1,sK26)
| perp(X0,sK26,sK26,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_59777,plain,
( ~ perp(sK20,sK26,sK20,sK26)
| perp(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_59776]) ).
cnf(c_60048,plain,
( ~ para(X0,sK25,X0,sK25)
| ~ midp(X1,X0,X0)
| midp(X1,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_55214]) ).
cnf(c_60050,plain,
( ~ para(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_60048]) ).
cnf(c_61509,plain,
( ~ midp(sK21,X0,sK25)
| cong(sK21,sK25,X0,sK21) ),
inference(instantiation,[status(thm)],[c_2270]) ).
cnf(c_61510,plain,
( ~ midp(sK21,sK20,sK25)
| cong(sK21,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_61509]) ).
cnf(c_62699,plain,
( ~ cong(X0,sK21,sK26,sK21)
| cong(X0,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_57859]) ).
cnf(c_62700,plain,
( ~ perp(X0,sK26,sK26,X1)
| ~ midp(sK21,X0,X1)
| cong(X0,sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_62701,plain,
( ~ cong(sK20,sK21,sK26,sK21)
| cong(sK20,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_62699]) ).
cnf(c_62702,plain,
( ~ perp(sK20,sK26,sK26,sK20)
| ~ midp(sK21,sK20,sK20)
| cong(sK20,sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_62700]) ).
cnf(c_63492,plain,
( ~ eqangle(X0,sK26,X0,X1,X0,sK26,X0,X1)
| ~ coll(X0,X0,X1)
| cyclic(sK26,X1,X0,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_63494,plain,
( ~ eqangle(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_63492]) ).
cnf(c_64060,plain,
( ~ perp(X0,sK21,X1,X2)
| ~ perp(X1,X2,X3,sK25)
| para(X0,sK21,X3,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_64061,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK25)
| para(sK20,sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_64060]) ).
cnf(c_65528,plain,
( ~ eqangle(X0,X1,X2,X3,X4,sK25,X2,X3)
| para(X0,X1,X4,sK25) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_74301,plain,
( ~ eqangle(X0,sK25,X0,X1,X0,sK25,X0,X1)
| para(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_65528]) ).
cnf(c_74303,plain,
( ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_74301]) ).
cnf(c_74334,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X2,sK25,X0,X1,X2,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_2216]) ).
cnf(c_74335,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_74334]) ).
cnf(c_74336,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_74335,c_74303,c_64061,c_63494,c_62702,c_62701,c_61510,c_60050,c_59777,c_58764,c_58763,c_58743,c_57783,c_57384,c_31724,c_31399,c_31369,c_24702,c_24698,c_21997,c_20961,c_19613,c_19219,c_12548,c_10718,c_7872,c_5733,c_5496,c_5313,c_4427,c_3801,c_3797,c_1891,c_1877,c_1677,c_879,c_717,c_678,c_385,c_185,c_176,c_162,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 19:42:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.37/5.24 % SZS status Started for theBenchmark.p
% 31.37/5.24 % SZS status Theorem for theBenchmark.p
% 31.37/5.24
% 31.37/5.24 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.37/5.24
% 31.37/5.24 ------ iProver source info
% 31.37/5.24
% 31.37/5.24 git: date: 2023-05-31 18:12:56 +0000
% 31.37/5.24 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.37/5.24 git: non_committed_changes: false
% 31.37/5.24 git: last_make_outside_of_git: false
% 31.37/5.24
% 31.37/5.24 ------ Parsing...
% 31.37/5.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.37/5.24
% 31.37/5.24 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 31.37/5.24
% 31.37/5.24 ------ Preprocessing...
% 31.37/5.24
% 31.37/5.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.37/5.24 ------ Proving...
% 31.37/5.24 ------ Problem Properties
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24 clauses 121
% 31.37/5.24 conjectures 9
% 31.37/5.24 EPR 84
% 31.37/5.24 Horn 111
% 31.37/5.24 unary 9
% 31.37/5.24 binary 37
% 31.37/5.24 lits 337
% 31.37/5.24 lits eq 4
% 31.37/5.24 fd_pure 0
% 31.37/5.24 fd_pseudo 0
% 31.37/5.24 fd_cond 0
% 31.37/5.24 fd_pseudo_cond 4
% 31.37/5.24 AC symbols 0
% 31.37/5.24
% 31.37/5.24 ------ Input Options Time Limit: Unbounded
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24 ------
% 31.37/5.24 Current options:
% 31.37/5.24 ------
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24 ------ Proving...
% 31.37/5.24
% 31.37/5.24
% 31.37/5.24 % SZS status Theorem for theBenchmark.p
% 31.37/5.24
% 31.37/5.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.37/5.25
% 31.37/5.25
%------------------------------------------------------------------------------