TSTP Solution File: GEO618+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:18:04 EDT 2024
% Result : Theorem 17.43s 3.25s
% Output : CNFRefutation 17.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 40
% Syntax : Number of formulae : 405 ( 120 unt; 0 def)
% Number of atoms : 876 ( 4 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 818 ( 347 ~; 338 |; 72 &)
% ( 0 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 1114 ( 0 sgn 821 !; 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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
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(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(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(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(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(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD49) ).
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(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(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(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,X10,X7,X18] :
( ( coll(X18,X1,X2)
& perp(X0,X7,X0,X18)
& circle(X7,X0,X1,X2)
& coll(X10,X1,X2)
& eqangle(X10,X0,X0,X2,X10,X0,X0,X1) )
=> cong(X18,X0,X18,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X10,X7,X18] :
( ( coll(X18,X1,X2)
& perp(X0,X7,X0,X18)
& circle(X7,X0,X1,X2)
& coll(X10,X1,X2)
& eqangle(X10,X0,X0,X2,X10,X0,X0,X1) )
=> cong(X18,X0,X18,X10) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(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(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(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
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(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(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] :
( ( coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) )
=> cong(X5,X0,X5,X3) ),
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(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(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(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(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(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f236]) ).
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(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(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(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] :
( ~ cong(X5,X0,X5,X3)
& coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X5,X0,X5,X3)
& coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X5,X0,X5,X3)
& coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) )
=> ( ~ cong(sK25,sK20,sK25,sK23)
& coll(sK25,sK21,sK22)
& perp(sK20,sK24,sK20,sK25)
& circle(sK24,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cong(sK25,sK20,sK25,sK23)
& coll(sK25,sK21,sK22)
& perp(sK20,sK24,sK20,sK25)
& circle(sK24,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& eqangle(sK23,sK20,sK20,sK22,sK23,sK20,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(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(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
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(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(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(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(f409,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
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(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(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(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(f473,plain,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
~ cong(sK25,sK20,sK25,sK23),
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_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_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
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_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_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_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_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
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_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_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(sK25,sK20,sK25,sK23),
inference(cnf_transformation,[],[f478]) ).
cnf(c_163,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_164,negated_conjecture,
perp(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f476]) ).
cnf(c_165,negated_conjecture,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_166,negated_conjecture,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f474]) ).
cnf(c_167,negated_conjecture,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_173,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_1809,plain,
( X0 != sK20
| X1 != sK21
| X2 != sK22
| X3 != sK24
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| perp(X3,X0,X0,X4) ),
inference(resolution_lifted,[status(thm)],[c_98,c_165]) ).
cnf(c_1810,plain,
( ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK24,sK20,sK20,X0) ),
inference(unflattening,[status(thm)],[c_1809]) ).
cnf(c_1811,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1810]) ).
cnf(c_4545,negated_conjecture,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
cnf(c_4546,negated_conjecture,
coll(sK23,sK21,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_4547,negated_conjecture,
circle(sK24,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_4548,negated_conjecture,
perp(sK20,sK24,sK20,sK25),
inference(demodulation,[status(thm)],[c_164]) ).
cnf(c_4549,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_6088,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_4549,c_49]) ).
cnf(c_6098,plain,
coll(sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_6088,c_50]) ).
cnf(c_6147,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_4549,c_51]) ).
cnf(c_6148,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_4546,c_51]) ).
cnf(c_6149,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_6088,c_51]) ).
cnf(c_6153,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_6098,c_51]) ).
cnf(c_6188,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6153]) ).
cnf(c_6199,plain,
perp(sK20,sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_4548,c_55]) ).
cnf(c_6204,plain,
perp(sK20,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_4548,c_56]) ).
cnf(c_6213,plain,
perp(sK25,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6199,c_56]) ).
cnf(c_6216,plain,
perp(sK20,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_6204,c_55]) ).
cnf(c_6218,plain,
perp(sK25,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6213,c_55]) ).
cnf(c_6225,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4549,c_6147]) ).
cnf(c_6226,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_6225,c_51]) ).
cnf(c_6228,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6225,c_49]) ).
cnf(c_6236,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_4546,c_6148]) ).
cnf(c_6237,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_6236,c_51]) ).
cnf(c_6243,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6228,c_51]) ).
cnf(c_6340,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6225,c_6226]) ).
cnf(c_6343,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_6340,c_51]) ).
cnf(c_6360,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6236,c_6237]) ).
cnf(c_6364,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_6360,c_49]) ).
cnf(c_6436,plain,
( ~ coll(sK23,sK22,X0)
| coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_6364,c_51]) ).
cnf(c_6750,plain,
( ~ coll(sK24,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_4547,c_102]) ).
cnf(c_6788,plain,
( ~ coll(sK24,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6750,c_56]) ).
cnf(c_6790,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK24,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_6750,c_101]) ).
cnf(c_6798,plain,
( ~ coll(sK24,sK20,sK22)
| ~ midp(sK20,sK20,sK22)
| cong(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6790]) ).
cnf(c_6830,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK24,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_6790,c_71]) ).
cnf(c_6903,plain,
( ~ coll(sK24,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| cong(sK21,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_6788,c_104]) ).
cnf(c_6964,plain,
( ~ perp(sK20,sK25,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4548,c_57]) ).
cnf(c_6967,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_6204,c_57]) ).
cnf(c_6970,plain,
( ~ perp(sK24,sK20,X0,X1)
| para(sK25,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6218,c_57]) ).
cnf(c_7009,plain,
( ~ perp(sK24,sK20,sK20,sK20)
| para(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6970]) ).
cnf(c_7098,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6216,c_6964]) ).
cnf(c_7110,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_7098,c_53]) ).
cnf(c_7360,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_4548,c_6967]) ).
cnf(c_7361,plain,
para(sK20,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_6199,c_6967]) ).
cnf(c_7366,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_7360,c_115]) ).
cnf(c_7368,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_7366,c_50]) ).
cnf(c_7375,plain,
para(sK25,sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_7361,c_53]) ).
cnf(c_7490,plain,
eqangle(sK20,sK23,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4545,c_66]) ).
cnf(c_7507,plain,
eqangle(sK20,sK22,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_4545,c_67]) ).
cnf(c_7518,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7368,c_49]) ).
cnf(c_7524,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_7518,c_6343]) ).
cnf(c_7530,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_7524,c_49]) ).
cnf(c_7574,plain,
para(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7507,c_87]) ).
cnf(c_7576,plain,
( ~ para(sK20,sK21,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7574,c_54]) ).
cnf(c_7577,plain,
para(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7574,c_53]) ).
cnf(c_7578,plain,
para(sK20,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7574,c_52]) ).
cnf(c_7579,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7574,c_115]) ).
cnf(c_7652,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4545,c_68]) ).
cnf(c_7653,plain,
eqangle(sK23,sK20,sK20,sK21,sK20,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_7490,c_68]) ).
cnf(c_7703,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_4545,c_69]) ).
cnf(c_7705,plain,
eqangle(sK20,sK22,sK20,sK21,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7507,c_69]) ).
cnf(c_7728,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7530,c_51]) ).
cnf(c_7729,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_7530,c_50]) ).
cnf(c_7731,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7530,c_6243]) ).
cnf(c_7735,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7728]) ).
cnf(c_7743,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7579,c_50]) ).
cnf(c_7767,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_7729,c_6149]) ).
cnf(c_7774,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7652,c_66]) ).
cnf(c_7779,plain,
eqangle(sK23,sK20,sK20,sK23,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7653,c_69]) ).
cnf(c_7885,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7731,c_49]) ).
cnf(c_7904,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_7767,c_50]) ).
cnf(c_7912,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_7110,c_52]) ).
cnf(c_7922,plain,
para(sK25,sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7375,c_52]) ).
cnf(c_7963,plain,
para(sK20,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7577,c_52]) ).
cnf(c_7973,plain,
para(sK21,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7578,c_53]) ).
cnf(c_8289,plain,
( ~ coll(sK21,X0,sK22)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7577,c_94]) ).
cnf(c_8290,plain,
( ~ coll(sK22,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7574,c_94]) ).
cnf(c_8325,plain,
( ~ coll(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8290]) ).
cnf(c_8326,plain,
( ~ coll(sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8289]) ).
cnf(c_8380,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_7885,c_6237]) ).
cnf(c_8474,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_8380,c_49]) ).
cnf(c_8734,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_7904,c_49]) ).
cnf(c_9299,plain,
( ~ coll(sK23,sK22,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_8474,c_51]) ).
cnf(c_9302,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_8474,c_6436]) ).
cnf(c_9307,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_9299]) ).
cnf(c_9326,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_8734,c_51]) ).
cnf(c_9332,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9326]) ).
cnf(c_9729,plain,
( ~ para(sK20,sK21,sK20,sK22)
| para(sK23,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7779,c_122]) ).
cnf(c_9746,plain,
para(sK23,sK20,sK20,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_9729,c_7577]) ).
cnf(c_10664,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_9302,c_49]) ).
cnf(c_12396,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_7912,c_115]) ).
cnf(c_12429,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_12396,c_50]) ).
cnf(c_12434,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_12429,c_51]) ).
cnf(c_12436,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_12429,c_49]) ).
cnf(c_12439,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12434]) ).
cnf(c_12457,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_12436,c_51]) ).
cnf(c_12608,plain,
( ~ eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4545,c_70]) ).
cnf(c_12611,plain,
( ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7652,c_70]) ).
cnf(c_12612,plain,
( ~ eqangle(sK20,sK22,sK20,sK21,X0,X1,X2,X3)
| eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7703,c_70]) ).
cnf(c_12622,plain,
( ~ eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3)
| eqangle(sK20,sK22,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7705,c_70]) ).
cnf(c_12626,plain,
( ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3)
| eqangle(sK20,sK23,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7774,c_70]) ).
cnf(c_12897,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_7922,c_115]) ).
cnf(c_12908,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_12897,c_50]) ).
cnf(c_12972,plain,
( ~ para(sK23,sK20,X0,X1)
| eqangle(sK23,sK20,sK20,sK22,X0,X1,sK20,sK21) ),
inference(superposition,[status(thm)],[c_88,c_12608]) ).
cnf(c_13832,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7963,c_7576]) ).
cnf(c_13861,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK21,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7973,c_94]) ).
cnf(c_13878,plain,
( ~ coll(sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_13861]) ).
cnf(c_13970,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4545,c_12611]) ).
cnf(c_14010,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_13970,c_69]) ).
cnf(c_14012,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_13970,c_67]) ).
cnf(c_14023,plain,
eqangle(sK20,sK23,sK23,sK20,sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_14010,c_66]) ).
cnf(c_14047,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_14012,c_87]) ).
cnf(c_14087,plain,
eqangle(sK23,sK20,sK23,sK20,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7705,c_12612]) ).
cnf(c_14566,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK20,sK20,sK23,sK21)
| cong(sK20,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_14010,c_92]) ).
cnf(c_14833,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_14047,c_52]) ).
cnf(c_15251,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_13832,c_53]) ).
cnf(c_15565,plain,
( ~ coll(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| midp(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_14833,c_94]) ).
cnf(c_15568,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_14833,c_53]) ).
cnf(c_15583,plain,
( ~ coll(sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK21)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15565]) ).
cnf(c_15609,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_15251,c_52]) ).
cnf(c_15632,plain,
eqangle(sK20,sK23,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4545,c_66]) ).
cnf(c_15646,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_15568,c_52]) ).
cnf(c_15667,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_15609,c_115]) ).
cnf(c_15694,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_15667,c_50]) ).
cnf(c_15701,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_15694,c_49]) ).
cnf(c_15716,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_15646,c_115]) ).
cnf(c_15822,plain,
( ~ perp(sK20,sK21,sK20,sK21)
| perp(sK20,sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_14023,c_123]) ).
cnf(c_15881,plain,
( ~ coll(sK23,sK23,sK20)
| cyclic(sK20,sK20,sK23,sK23) ),
inference(superposition,[status(thm)],[c_14087,c_91]) ).
cnf(c_15883,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK20,sK20,sK23,sK23)
| cong(sK20,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14087,c_92]) ).
cnf(c_15890,plain,
cyclic(sK20,sK20,sK23,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_15881,c_10664]) ).
cnf(c_15898,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15883,c_15890]) ).
cnf(c_15950,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_15716,c_50]) ).
cnf(c_15964,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_15950,c_49]) ).
cnf(c_15978,plain,
cyclic(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_15890,c_63]) ).
cnf(c_15990,plain,
cyclic(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_15978,c_64]) ).
cnf(c_15992,plain,
cyclic(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_15978,c_62]) ).
cnf(c_16007,plain,
( ~ cyclic(sK23,sK20,sK20,X0)
| cyclic(sK20,sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_15990,c_65]) ).
cnf(c_16010,plain,
cyclic(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_15990,c_62]) ).
cnf(c_16016,plain,
( ~ cyclic(sK23,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_16007]) ).
cnf(c_16018,plain,
( ~ cyclic(sK20,sK23,sK23,X0)
| cyclic(sK23,sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_15992,c_65]) ).
cnf(c_16027,plain,
( ~ cyclic(sK20,sK23,sK23,sK20)
| cyclic(sK23,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16018]) ).
cnf(c_16040,plain,
cyclic(sK23,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_16010,c_63]) ).
cnf(c_16122,plain,
( ~ cyclic(sK23,sK23,sK20,X0)
| cyclic(sK23,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_16040,c_65]) ).
cnf(c_16130,plain,
( ~ cyclic(sK23,sK23,sK20,sK20)
| cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16122]) ).
cnf(c_16308,plain,
( ~ cong(sK20,X0,sK21,X0)
| ~ coll(sK24,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| perp(sK20,sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6830,c_105]) ).
cnf(c_16396,plain,
( ~ cong(sK20,sK20,sK21,sK20)
| ~ coll(sK24,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| perp(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_16308]) ).
cnf(c_16441,plain,
( ~ coll(sK24,sK20,sK22)
| cong(sK21,sK20,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_6903,c_173,c_6903,c_7743,c_8325,c_12429,c_12439,c_15898,c_15992,c_16016,c_16027,c_16130]) ).
cnf(c_17085,plain,
eqangle(sK20,sK23,sK23,sK20,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_15632,c_69]) ).
cnf(c_20387,plain,
( ~ perp(X0,sK23,X1,X0)
| perp(X1,X0,X0,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_20388,plain,
( ~ perp(sK20,sK23,sK20,sK20)
| perp(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_20387]) ).
cnf(c_20533,plain,
( ~ cong(X0,sK21,X0,X1)
| ~ coll(X0,sK21,X1)
| midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_20534,plain,
( ~ cong(sK20,sK21,sK20,sK20)
| ~ coll(sK20,sK21,sK20)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_20533]) ).
cnf(c_23131,plain,
( ~ perp(sK25,X0,sK20,sK23)
| ~ midp(X0,sK20,sK23)
| cong(sK25,sK20,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_23132,plain,
( ~ perp(sK25,sK20,sK20,sK23)
| ~ midp(sK20,sK20,sK23)
| cong(sK25,sK20,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_23131]) ).
cnf(c_23173,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_15701,c_12457]) ).
cnf(c_23203,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_23173,c_49]) ).
cnf(c_23212,plain,
cong(sK21,sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_16441,c_23203]) ).
cnf(c_23504,plain,
( ~ cong(X0,sK20,X0,sK23)
| ~ coll(X0,sK20,sK23)
| midp(X0,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_23505,plain,
( ~ cong(sK20,sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK23)
| midp(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_23504]) ).
cnf(c_25548,plain,
( ~ cyclic(sK20,sK20,sK23,sK21)
| cong(sK20,sK20,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_14566,c_14566,c_15992,c_16016,c_16027,c_16130]) ).
cnf(c_26695,plain,
( ~ midp(X0,sK21,X1)
| midp(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_26696,plain,
( ~ midp(sK20,sK21,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_26695]) ).
cnf(c_27100,plain,
eqangle(sK20,sK22,sK20,sK21,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7703,c_12622]) ).
cnf(c_27140,plain,
eqangle(sK20,sK21,sK20,sK22,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_27100,c_67]) ).
cnf(c_27448,plain,
( ~ coll(sK20,sK20,sK22)
| cyclic(sK21,sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_27140,c_91]) ).
cnf(c_27452,plain,
cyclic(sK21,sK22,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_27448,c_15701]) ).
cnf(c_27503,plain,
( ~ para(sK23,sK20,X0,X1)
| eqangle(sK20,sK23,sK20,sK21,X0,X1,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12972,c_12626]) ).
cnf(c_27542,plain,
( ~ para(sK23,sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK21)
| cyclic(sK23,sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_27503,c_91]) ).
cnf(c_27553,plain,
cyclic(sK23,sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_27542,c_15964,c_9746]) ).
cnf(c_27639,plain,
cong(sK21,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_23212,c_72]) ).
cnf(c_28027,plain,
( ~ perp(sK20,sK22,sK20,sK21)
| perp(sK20,sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_17085,c_123]) ).
cnf(c_28297,plain,
cyclic(sK21,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_27452,c_63]) ).
cnf(c_28323,plain,
cyclic(sK23,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_27553,c_63]) ).
cnf(c_28339,plain,
cong(sK21,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_27639,c_71]) ).
cnf(c_29251,plain,
cyclic(sK20,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_28297,c_64]) ).
cnf(c_29298,plain,
cyclic(sK20,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_28323,c_64]) ).
cnf(c_29488,plain,
cong(sK20,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_28339,c_72]) ).
cnf(c_30148,plain,
cyclic(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_29251,c_62]) ).
cnf(c_30177,plain,
cyclic(sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_29298,c_62]) ).
cnf(c_30214,plain,
( ~ cong(sK21,sK21,X0,X1)
| cong(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_29488,c_73]) ).
cnf(c_30223,plain,
( ~ cong(sK21,sK21,sK20,sK20)
| cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30214]) ).
cnf(c_31165,plain,
cyclic(sK20,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_30177,c_63]) ).
cnf(c_31172,plain,
cong(sK20,sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_25548,c_31165]) ).
cnf(c_31430,plain,
( ~ cong(X0,X0,sK23,X0)
| ~ cong(X0,X1,sK23,X1)
| perp(X0,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_31431,plain,
( ~ cong(sK20,sK20,sK23,sK20)
| perp(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31430]) ).
cnf(c_31553,plain,
cong(sK21,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_31172,c_72]) ).
cnf(c_36364,plain,
( ~ cyclic(sK20,sK21,sK20,sK22)
| eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_37157,plain,
perp(sK20,sK23,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_28027,c_173,c_6188,c_6798,c_7530,c_7735,c_8326,c_9332,c_12429,c_12439,c_12908,c_13878,c_15583,c_15822,c_15898,c_15950,c_15992,c_16016,c_16027,c_16130,c_16396,c_20534,c_23203,c_26696,c_30223,c_31553]) ).
cnf(c_37167,plain,
( ~ midp(X0,sK20,sK20)
| cong(sK20,X0,sK23,X0) ),
inference(superposition,[status(thm)],[c_37157,c_101]) ).
cnf(c_37182,plain,
( ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_37167]) ).
cnf(c_38645,plain,
( ~ cong(X0,sK20,sK23,X0)
| cong(X0,sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_38646,plain,
( ~ cong(sK20,sK20,sK23,sK20)
| cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_38645]) ).
cnf(c_42281,plain,
( ~ para(sK25,X0,X1,X2)
| ~ perp(X1,X2,sK20,sK23)
| perp(sK25,X0,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_42282,plain,
( ~ para(sK25,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK23)
| perp(sK25,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_42281]) ).
cnf(c_42283,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42282,c_38646,c_37182,c_36364,c_31431,c_30148,c_23505,c_23132,c_20388,c_16130,c_16027,c_16016,c_15992,c_15898,c_12439,c_12429,c_9307,c_8474,c_7009,c_1811,c_173,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.21 % Problem : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.22 % Command : run_iprover %s %d THM
% 0.10/0.42 % Computer : n012.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8042.1875MB
% 0.10/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Fri May 3 01:15:10 EDT 2024
% 0.10/0.42 % CPUTime :
% 0.15/0.52 Running first-order theorem proving
% 0.15/0.52 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.43/3.25 % SZS status Started for theBenchmark.p
% 17.43/3.25 % SZS status Theorem for theBenchmark.p
% 17.43/3.25
% 17.43/3.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.43/3.25
% 17.43/3.25 ------ iProver source info
% 17.43/3.25
% 17.43/3.25 git: date: 2024-05-02 19:28:25 +0000
% 17.43/3.25 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.43/3.25 git: non_committed_changes: false
% 17.43/3.25
% 17.43/3.25 ------ Parsing...
% 17.43/3.25 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.43/3.25
% 17.43/3.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 17.43/3.25
% 17.43/3.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.43/3.25
% 17.43/3.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.43/3.25 ------ Proving...
% 17.43/3.25 ------ Problem Properties
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25 clauses 118
% 17.43/3.25 conjectures 6
% 17.43/3.25 EPR 81
% 17.43/3.25 Horn 108
% 17.43/3.25 unary 6
% 17.43/3.25 binary 37
% 17.43/3.25 lits 334
% 17.43/3.25 lits eq 4
% 17.43/3.25 fd_pure 0
% 17.43/3.25 fd_pseudo 0
% 17.43/3.25 fd_cond 0
% 17.43/3.25 fd_pseudo_cond 4
% 17.43/3.25 AC symbols 0
% 17.43/3.25
% 17.43/3.25 ------ Schedule dynamic 5 is on
% 17.43/3.25
% 17.43/3.25 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25 ------
% 17.43/3.25 Current options:
% 17.43/3.25 ------
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25 ------ Proving...
% 17.43/3.25
% 17.43/3.25
% 17.43/3.25 % SZS status Theorem for theBenchmark.p
% 17.43/3.25
% 17.43/3.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.43/3.26
% 17.43/3.26
%------------------------------------------------------------------------------