TSTP Solution File: GEO644+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO644+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:18:11 EDT 2024
% Result : Theorem 31.81s 5.13s
% Output : CNFRefutation 31.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 244 ( 9 unt; 0 def)
% Number of atoms : 707 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 797 ( 334 ~; 325 |; 94 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 877 ( 1 sgn 597 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD57) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X6,X16] :
( ( midp(X16,X2,X3)
& midp(X6,X0,X1) )
=> eqratio(X6,X0,X0,X1,X16,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD70) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( coll(X13,X0,X2)
& coll(X13,X1,X4)
& coll(X12,X3,X5)
& coll(X12,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X12,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( coll(X13,X0,X2)
& coll(X13,X1,X4)
& coll(X12,X3,X5)
& coll(X12,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X12,X12,X13) ),
inference(negated_conjecture,[],[f95]) ).
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(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(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
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(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(rectify,[],[f71]) ).
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(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X6,X6,X7) ),
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(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(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
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(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(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f108]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
fof(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(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(f265,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f144]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f265]) ).
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(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f145]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f272]) ).
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(f282,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f282]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> ( ~ cong(sK20,sK26,sK26,sK27)
& coll(sK27,sK20,sK22)
& coll(sK27,sK21,sK24)
& coll(sK26,sK23,sK25)
& coll(sK26,sK20,sK22)
& midp(sK25,sK21,sK20)
& midp(sK24,sK22,sK23)
& para(sK20,sK21,sK22,sK23)
& para(sK21,sK22,sK20,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cong(sK20,sK26,sK26,sK27)
& coll(sK27,sK20,sK22)
& coll(sK27,sK21,sK24)
& coll(sK26,sK23,sK25)
& coll(sK26,sK20,sK22)
& midp(sK25,sK21,sK20)
& midp(sK24,sK22,sK23)
& para(sK20,sK21,sK22,sK23)
& para(sK21,sK22,sK20,sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[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(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(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
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(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(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f205]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(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(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(f425,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f266]) ).
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(f430,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
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(f435,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f283]) ).
fof(f474,plain,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ cong(sK20,sK26,sK26,sK27),
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_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
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_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_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_77,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
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_114,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f425]) ).
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_119,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X4,X5)
| eqratio(X0,X1,X1,X2,X3,X4,X4,X5) ),
inference(cnf_transformation,[],[f430]) ).
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_124,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_162,negated_conjecture,
~ cong(sK20,sK26,sK26,sK27),
inference(cnf_transformation,[],[f481]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f480]) ).
cnf(c_166,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_169,negated_conjecture,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f474]) ).
cnf(c_173,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
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_181,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_186,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_201,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_234,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_2360,plain,
( ~ coll(sK27,sK20,sK22)
| coll(sK27,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2381,plain,
( ~ coll(sK26,sK20,sK22)
| coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2412,plain,
( ~ para(sK20,sK21,sK22,sK23)
| eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_2415,plain,
( ~ para(sK20,sK21,sK22,sK23)
| eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2412]) ).
cnf(c_2484,plain,
( ~ coll(sK27,sK22,X0)
| ~ coll(sK27,sK22,sK20)
| coll(X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2485,plain,
( ~ coll(sK27,sK22,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_2484]) ).
cnf(c_2494,plain,
( ~ eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1)
| eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2503,plain,
( ~ eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20)
| eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2494]) ).
cnf(c_2665,plain,
( ~ coll(sK26,sK22,X0)
| ~ coll(sK26,sK22,sK20)
| coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2666,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2665]) ).
cnf(c_2872,plain,
( ~ coll(X0,sK20,sK27)
| coll(X0,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2873,plain,
( ~ coll(sK20,sK20,sK27)
| coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_2872]) ).
cnf(c_2945,plain,
( ~ eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_2951,plain,
( ~ eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_2945]) ).
cnf(c_2953,plain,
( ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,X4,X5,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2954,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2953]) ).
cnf(c_3169,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK27,sK20,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3170,plain,
( ~ coll(sK20,sK27,sK20)
| coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3169]) ).
cnf(c_3190,plain,
( ~ coll(X0,X1,sK20)
| ~ coll(X0,X1,sK26)
| coll(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3191,plain,
( ~ coll(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3190]) ).
cnf(c_3220,plain,
( ~ eqratio(sK20,sK26,sK26,sK27,X0,X1,X2,X3)
| ~ cong(X0,X1,X2,X3)
| cong(sK20,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_3221,plain,
( ~ eqratio(sK20,sK26,sK26,sK27,sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| cong(sK20,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_3220]) ).
cnf(c_3266,plain,
( ~ cyclic(sK20,X0,sK26,sK27)
| cyclic(sK20,sK26,X0,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_3267,plain,
( ~ cyclic(sK20,sK20,sK26,sK27)
| cyclic(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3266]) ).
cnf(c_3293,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK20,sK26,sK27)
| eqratio(sK20,sK26,sK26,sK27,X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_3294,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK20,sK26,sK27)
| eqratio(sK20,sK26,sK26,sK27,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3293]) ).
cnf(c_3324,plain,
( ~ cong(sK26,sK20,sK26,X0)
| ~ coll(sK26,sK20,X0)
| midp(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3325,plain,
( ~ cong(sK26,sK20,sK26,sK20)
| ~ coll(sK26,sK20,sK20)
| midp(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3324]) ).
cnf(c_3389,plain,
( ~ cyclic(X0,X1,X2,sK27)
| cyclic(X0,X2,X1,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_3395,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK27)
| cyclic(X1,X2,X3,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_3396,plain,
( ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| ~ coll(X0,sK27,X2)
| cyclic(X1,X2,X0,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_3399,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20)
| ~ coll(sK20,sK27,sK20)
| cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3396]) ).
cnf(c_3402,plain,
( ~ cong(sK27,X0,sK27,X1)
| ~ coll(sK27,X0,X1)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3403,plain,
( ~ cong(sK27,sK20,sK27,sK20)
| ~ coll(sK27,sK20,sK20)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3402]) ).
cnf(c_3500,plain,
( ~ eqangle(X0,sK20,X0,sK26,X1,sK20,X1,sK26)
| ~ coll(X0,X1,sK26)
| cyclic(sK20,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_3503,plain,
( ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK26)
| cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3500]) ).
cnf(c_3664,plain,
( ~ eqangle(X0,sK20,X0,sK26,X1,X2,X1,sK27)
| ~ cyclic(sK20,sK26,X0,X1)
| ~ cyclic(sK20,sK26,X0,X2)
| ~ cyclic(sK20,sK26,X0,sK27)
| cong(sK20,sK26,X2,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_3665,plain,
( ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK26,sK20,sK20)
| ~ cyclic(sK20,sK26,sK20,sK27)
| cong(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3664]) ).
cnf(c_3687,plain,
( ~ cong(sK20,sK26,sK20,sK27)
| ~ coll(sK20,sK26,sK27)
| midp(sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3770,plain,
( ~ eqratio(sK26,sK20,sK26,X0,X1,X2,X3,X4)
| ~ cong(X1,X2,X3,X4)
| cong(sK26,sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_3771,plain,
( ~ eqratio(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_3770]) ).
cnf(c_3912,plain,
( ~ para(X0,sK20,X0,sK20)
| eqangle(X0,sK20,X0,sK26,X0,sK20,X0,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_3914,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_3912]) ).
cnf(c_3919,plain,
( ~ circle(X0,X1,sK20,X2)
| ~ midp(sK26,sK20,X2)
| eqangle(X1,sK20,X1,X2,X0,sK20,X0,sK26) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_3920,plain,
( ~ circle(sK20,sK20,sK20,sK20)
| ~ midp(sK26,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_3919]) ).
cnf(c_4027,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,sK27)
| ~ cyclic(X1,X2,X0,X1)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,sK27)
| cong(X1,X2,X1,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_4042,plain,
( ~ eqangle(X0,X1,sK27,X1,X0,X2,sK27,X2)
| eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_4043,plain,
( ~ eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4042]) ).
cnf(c_4045,plain,
( ~ eqangle(sK27,X0,sK27,X1,sK27,X0,sK27,X1)
| ~ coll(sK27,sK27,X1)
| cyclic(X0,X1,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_3396]) ).
cnf(c_4046,plain,
( ~ para(sK27,X0,sK27,X0)
| eqangle(sK27,X0,sK27,X1,sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4047,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,sK27,sK20,sK27,sK20)
| ~ coll(sK27,sK27,sK20)
| cyclic(sK20,sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_4045]) ).
cnf(c_4048,plain,
( ~ para(sK27,sK20,sK27,sK20)
| eqangle(sK27,sK20,sK27,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4046]) ).
cnf(c_4072,plain,
( ~ perp(sK27,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_4073,plain,
( ~ perp(sK27,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4072]) ).
cnf(c_4140,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4142,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_4140]) ).
cnf(c_4148,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(sK27,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,sK27) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_4149,plain,
( ~ circle(sK20,sK20,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_4148]) ).
cnf(c_4271,plain,
( ~ coll(sK27,sK26,X0)
| coll(sK27,X0,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4272,plain,
( ~ coll(sK27,sK26,sK20)
| coll(sK27,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_4271]) ).
cnf(c_4301,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3)
| para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_4302,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20)
| para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4301]) ).
cnf(c_4709,plain,
( ~ eqangle(sK27,X0,sK27,X1,X2,X0,X2,X1)
| ~ coll(sK27,X2,X1)
| cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_4712,plain,
( ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4709]) ).
cnf(c_4751,plain,
( ~ coll(sK27,X0,sK20)
| ~ coll(sK27,X0,sK26)
| coll(sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4752,plain,
( ~ coll(sK27,sK20,sK20)
| ~ coll(sK27,sK20,sK26)
| coll(sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_4751]) ).
cnf(c_4926,plain,
( ~ cyclic(X0,X1,sK26,X2)
| cyclic(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_4927,plain,
( ~ cyclic(sK20,sK20,sK26,sK20)
| cyclic(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_4926]) ).
cnf(c_5606,plain,
( ~ cyclic(sK20,sK26,X0,X1)
| cyclic(sK20,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_5607,plain,
( ~ cyclic(sK20,sK26,sK20,sK20)
| cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_5606]) ).
cnf(c_6346,plain,
( ~ eqratio(sK26,sK20,X0,X1,sK26,X2,X3,X4)
| eqratio(sK26,sK20,sK26,X2,X0,X1,X3,X4) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_6347,plain,
( ~ eqratio(sK26,sK20,sK20,sK20,sK26,sK20,sK20,sK20)
| eqratio(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6346]) ).
cnf(c_6638,plain,
( ~ eqangle(X0,sK20,X0,X1,X2,sK20,X2,sK26)
| eqangle(X2,sK20,X2,sK26,X0,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_6639,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK26)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6638]) ).
cnf(c_7395,plain,
( ~ eqangle(X0,X0,X0,sK27,X1,X0,X1,sK27)
| ~ cyclic(X0,sK27,X0,X0)
| ~ cyclic(X0,sK27,X0,X1)
| ~ cyclic(X0,sK27,X0,sK27)
| cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_4027]) ).
cnf(c_7397,plain,
( ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK27,sK20,sK20)
| ~ cyclic(sK20,sK27,sK20,sK27)
| cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_7395]) ).
cnf(c_7760,plain,
( ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| eqangle(sK27,X1,sK27,X2,X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_7761,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20)
| eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7760]) ).
cnf(c_7794,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,sK27,X1,X0,X1,sK27,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_7795,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_7794]) ).
cnf(c_8029,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cyclic(X0,X2,sK27,X1)
| ~ cong(X0,sK27,X2,sK27)
| perp(sK27,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_8030,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK27,sK20,sK27)
| ~ cyclic(sK20,sK20,sK27,sK20)
| perp(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8029]) ).
cnf(c_8431,plain,
( ~ coll(X0,X1,sK27)
| coll(sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8432,plain,
( ~ coll(sK20,sK20,sK27)
| coll(sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_8431]) ).
cnf(c_8473,plain,
( ~ cyclic(X0,X0,sK27,X1)
| cyclic(X0,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_8474,plain,
( ~ cyclic(sK20,sK20,sK27,sK20)
| cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8473]) ).
cnf(c_8823,plain,
( ~ cyclic(X0,sK20,X1,sK26)
| ~ cyclic(X0,sK20,X1,sK27)
| cyclic(sK20,X1,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_3395]) ).
cnf(c_8824,plain,
( ~ cyclic(sK20,sK20,sK20,sK26)
| ~ cyclic(sK20,sK20,sK20,sK27)
| cyclic(sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_8823]) ).
cnf(c_9477,plain,
( ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,sK27)
| coll(sK27,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9478,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK27)
| coll(sK27,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_9477]) ).
cnf(c_11755,plain,
( ~ eqangle(X0,X1,X2,sK26,X3,X4,X5,X6)
| ~ eqangle(X3,X4,X5,X6,X0,X7,X2,sK27)
| eqangle(X0,X1,X2,sK26,X0,X7,X2,sK27) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_11756,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK27)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_11755]) ).
cnf(c_11919,plain,
( ~ para(sK20,X0,X1,X2)
| ~ coll(sK26,X0,X2)
| ~ coll(sK26,sK20,X1)
| eqratio(sK26,sK20,sK20,X1,sK26,X0,X0,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_11920,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| eqratio(sK26,sK20,sK20,sK20,sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11919]) ).
cnf(c_22121,plain,
( ~ cyclic(X0,X0,sK27,sK27)
| cyclic(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_3389]) ).
cnf(c_22122,plain,
( ~ cyclic(sK20,sK20,sK27,sK27)
| cyclic(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_22121]) ).
cnf(c_22123,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22122,c_11920,c_11756,c_9478,c_8824,c_8474,c_8432,c_8030,c_7795,c_7761,c_7397,c_6639,c_6347,c_5607,c_4927,c_4752,c_4712,c_4302,c_4272,c_4149,c_4142,c_4073,c_4048,c_4047,c_4043,c_3920,c_3914,c_3771,c_3687,c_3665,c_3503,c_3403,c_3399,c_3325,c_3294,c_3267,c_3221,c_3191,c_3170,c_2954,c_2951,c_2873,c_2666,c_2503,c_2485,c_2415,c_2381,c_2360,c_234,c_201,c_186,c_181,c_176,c_173,c_162,c_169,c_163,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO644+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.10 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 01:20:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 31.81/5.13 % SZS status Started for theBenchmark.p
% 31.81/5.13 % SZS status Theorem for theBenchmark.p
% 31.81/5.13
% 31.81/5.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.81/5.13
% 31.81/5.13 ------ iProver source info
% 31.81/5.13
% 31.81/5.13 git: date: 2024-05-02 19:28:25 +0000
% 31.81/5.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 31.81/5.13 git: non_committed_changes: false
% 31.81/5.13
% 31.81/5.13 ------ Parsing...
% 31.81/5.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.81/5.13
% 31.81/5.13 ------ Preprocessing...
% 31.81/5.13
% 31.81/5.13 ------ Preprocessing...
% 31.81/5.13
% 31.81/5.13 ------ Preprocessing...
% 31.81/5.13 ------ Proving...
% 31.81/5.13 ------ Problem Properties
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13 clauses 121
% 31.81/5.13 conjectures 9
% 31.81/5.13 EPR 84
% 31.81/5.13 Horn 111
% 31.81/5.13 unary 9
% 31.81/5.13 binary 37
% 31.81/5.13 lits 337
% 31.81/5.13 lits eq 4
% 31.81/5.13 fd_pure 0
% 31.81/5.13 fd_pseudo 0
% 31.81/5.13 fd_cond 0
% 31.81/5.13 fd_pseudo_cond 4
% 31.81/5.13 AC symbols 0
% 31.81/5.13
% 31.81/5.13 ------ Input Options Time Limit: Unbounded
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13 ------
% 31.81/5.13 Current options:
% 31.81/5.13 ------
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13 ------ Proving...
% 31.81/5.13
% 31.81/5.13
% 31.81/5.13 % SZS status Theorem for theBenchmark.p
% 31.81/5.13
% 31.81/5.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.81/5.14
% 31.81/5.14
%------------------------------------------------------------------------------