TSTP Solution File: GEO634+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:13 EDT 2023
% Result : Theorem 32.13s 5.11s
% Output : CNFRefutation 32.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 206 ( 37 unt; 0 def)
% Number of atoms : 562 ( 0 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 571 ( 215 ~; 206 |; 114 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 694 ( 2 sgn; 493 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD18) ).
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(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(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(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox2/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/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(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X8,X9,X19,X3,X12,X20,X21] :
( ( coll(X12,X0,X1)
& perp(X12,X9,X0,X1)
& coll(X3,X1,X2)
& perp(X3,X9,X1,X2)
& coll(X19,X0,X9)
& coll(X19,X1,X2)
& circle(X7,X0,X9,X21)
& eqangle(X9,X0,X0,X1,X2,X0,X0,X18)
& coll(X8,X0,X18)
& circle(X7,X0,X8,X20)
& midp(X18,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X3,X12,X8,X0) ),
inference(negated_conjecture,[],[f95]) ).
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(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(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(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X8,X9,X5,X0) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(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(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(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(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(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& coll(X8,X1,X2)
& perp(X8,X6,X1,X2)
& coll(X7,X0,X6)
& coll(X7,X1,X2)
& circle(X3,X0,X6,X11)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& coll(X5,X0,X4)
& circle(X3,X0,X5,X10)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK28,sK29,sK25,sK20)
& coll(sK29,sK20,sK21)
& perp(sK29,sK26,sK20,sK21)
& coll(sK28,sK21,sK22)
& perp(sK28,sK26,sK21,sK22)
& coll(sK27,sK20,sK26)
& coll(sK27,sK21,sK22)
& circle(sK23,sK20,sK26,sK31)
& eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
& coll(sK25,sK20,sK24)
& circle(sK23,sK20,sK25,sK30)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK28,sK29,sK25,sK20)
& coll(sK29,sK20,sK21)
& perp(sK29,sK26,sK20,sK21)
& coll(sK28,sK21,sK22)
& perp(sK28,sK26,sK21,sK22)
& coll(sK27,sK20,sK26)
& coll(sK27,sK21,sK22)
& circle(sK23,sK20,sK26,sK31)
& eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
& coll(sK25,sK20,sK24)
& circle(sK23,sK20,sK25,sK30)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(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(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(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(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f476,plain,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK20,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
perp(sK28,sK26,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
perp(sK29,sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
~ perp(sK28,sK29,sK25,sK20),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_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_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_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_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_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_162,negated_conjecture,
~ perp(sK28,sK29,sK25,sK20),
inference(cnf_transformation,[],[f485]) ).
cnf(c_164,negated_conjecture,
perp(sK29,sK26,sK20,sK21),
inference(cnf_transformation,[],[f483]) ).
cnf(c_166,negated_conjecture,
perp(sK28,sK26,sK21,sK22),
inference(cnf_transformation,[],[f481]) ).
cnf(c_167,negated_conjecture,
coll(sK27,sK20,sK26),
inference(cnf_transformation,[],[f480]) ).
cnf(c_170,negated_conjecture,
eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24),
inference(cnf_transformation,[],[f477]) ).
cnf(c_171,negated_conjecture,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_180,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_183,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_189,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_238,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_367,plain,
( ~ coll(sK25,sK20,sK24)
| coll(sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_438,plain,
coll(sK27,sK26,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_522,plain,
( ~ coll(sK25,sK24,X0)
| ~ coll(sK25,sK24,sK20)
| coll(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_523,plain,
( ~ coll(sK25,sK24,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_702,plain,
( ~ coll(sK27,sK26,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_438,c_51]) ).
cnf(c_934,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_438,c_702]) ).
cnf(c_937,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_934,c_49]) ).
cnf(c_950,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_951,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_1048,plain,
perp(sK20,sK21,sK29,sK26),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_1049,plain,
perp(sK21,sK22,sK28,sK26),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_1055,plain,
perp(sK20,sK21,sK26,sK29),
inference(superposition,[status(thm)],[c_1048,c_55]) ).
cnf(c_1057,plain,
perp(sK21,sK22,sK26,sK28),
inference(superposition,[status(thm)],[c_1049,c_55]) ).
cnf(c_1122,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_937,c_51]) ).
cnf(c_1130,plain,
( ~ coll(sK20,sK27,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1122]) ).
cnf(c_1668,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK29,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_1669,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK28,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_1672,plain,
( ~ perp(sK29,sK26,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1048,c_57]) ).
cnf(c_1906,plain,
para(sK29,sK26,sK26,sK29),
inference(superposition,[status(thm)],[c_1055,c_1668]) ).
cnf(c_1912,plain,
para(sK28,sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_1057,c_1669]) ).
cnf(c_2126,plain,
para(sK26,sK29,sK29,sK26),
inference(superposition,[status(thm)],[c_1906,c_53]) ).
cnf(c_2235,plain,
para(sK26,sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_1912,c_53]) ).
cnf(c_2281,plain,
eqangle(sK20,sK26,sK20,sK21,sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_170,c_66]) ).
cnf(c_2449,plain,
eqangle(sK22,sK20,sK20,sK24,sK20,sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_2281,c_68]) ).
cnf(c_5274,plain,
para(sK26,sK29,sK26,sK29),
inference(superposition,[status(thm)],[c_2126,c_52]) ).
cnf(c_5770,plain,
para(sK26,sK28,sK26,sK28),
inference(superposition,[status(thm)],[c_2235,c_52]) ).
cnf(c_14663,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_1672]) ).
cnf(c_15068,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_15135,plain,
( ~ coll(sK20,sK20,X0)
| cyclic(sK21,X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14663,c_15068]) ).
cnf(c_15142,plain,
( ~ coll(sK20,sK20,sK20)
| cyclic(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15135]) ).
cnf(c_15347,plain,
( ~ cyclic(sK21,X0,sK20,X1)
| ~ coll(sK20,sK20,X0)
| cyclic(X0,sK20,sK20,X1) ),
inference(superposition,[status(thm)],[c_15135,c_65]) ).
cnf(c_15352,plain,
( ~ cyclic(sK21,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15347]) ).
cnf(c_15804,plain,
( ~ eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3)
| eqangle(sK26,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_170,c_70]) ).
cnf(c_15821,plain,
eqangle(sK26,sK20,sK20,sK21,sK20,sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_2449,c_15804]) ).
cnf(c_15836,plain,
eqangle(sK20,sK26,sK20,sK21,sK20,sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_15821,c_66]) ).
cnf(c_15837,plain,
para(sK26,sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_15821,c_87]) ).
cnf(c_15873,plain,
para(sK20,sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_15837,c_53]) ).
cnf(c_16003,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_15836,c_87]) ).
cnf(c_18456,plain,
( ~ perp(sK25,sK20,sK28,sK29)
| perp(sK28,sK29,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_22104,plain,
( ~ para(sK25,sK20,X0,X1)
| ~ perp(X0,X1,sK28,sK29)
| perp(sK25,sK20,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_22105,plain,
( ~ para(sK25,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK28,sK29)
| perp(sK25,sK20,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_22104]) ).
cnf(c_22442,plain,
( ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK20,X1,sK20)
| perp(X0,X1,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_22443,plain,
( ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_22442]) ).
cnf(c_27336,plain,
( ~ cong(X0,sK28,X1,sK28)
| ~ cong(X0,sK29,X1,sK29)
| perp(X0,X1,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_27337,plain,
( ~ cong(sK20,sK28,sK20,sK28)
| ~ cong(sK20,sK29,sK20,sK29)
| perp(sK20,sK20,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_27336]) ).
cnf(c_27416,plain,
( ~ perp(X0,X1,sK25,sK20)
| perp(sK25,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_27417,plain,
( ~ perp(sK20,sK20,sK25,sK20)
| perp(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_27416]) ).
cnf(c_28093,plain,
( ~ midp(X0,sK25,sK25)
| cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_28094,plain,
( ~ midp(sK20,sK25,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_28093]) ).
cnf(c_31343,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_15873,c_52]) ).
cnf(c_32077,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_31343,c_113]) ).
cnf(c_32080,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_32077]) ).
cnf(c_34164,plain,
para(sK26,sK29,sK26,sK29),
inference(superposition,[status(thm)],[c_2126,c_52]) ).
cnf(c_34171,plain,
para(sK26,sK28,sK26,sK28),
inference(superposition,[status(thm)],[c_2235,c_52]) ).
cnf(c_34336,plain,
( ~ para(sK26,sK29,sK26,sK29)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK29,sK29) ),
inference(superposition,[status(thm)],[c_34164,c_113]) ).
cnf(c_34345,plain,
( ~ para(sK26,sK29,sK26,sK29)
| ~ midp(sK20,sK26,sK26)
| midp(sK20,sK29,sK29) ),
inference(instantiation,[status(thm)],[c_34336]) ).
cnf(c_34435,plain,
( ~ para(sK26,sK28,sK26,sK28)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK28,sK28) ),
inference(superposition,[status(thm)],[c_34171,c_113]) ).
cnf(c_34444,plain,
( ~ para(sK26,sK28,sK26,sK28)
| ~ midp(sK20,sK26,sK26)
| midp(sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_34435]) ).
cnf(c_43495,plain,
( ~ midp(X0,sK29,sK29)
| cong(X0,sK29,X0,sK29) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_43496,plain,
( ~ midp(sK20,sK29,sK29)
| cong(sK20,sK29,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_43495]) ).
cnf(c_43540,plain,
( ~ midp(X0,sK28,sK28)
| cong(X0,sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_43541,plain,
( ~ midp(sK20,sK28,sK28)
| cong(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_43540]) ).
cnf(c_46596,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK25,sK20,X0,X1)
| para(sK25,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_46600,plain,
( ~ perp(sK25,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_46596]) ).
cnf(c_70595,plain,
( ~ cyclic(sK25,X0,sK20,sK20)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_70596,plain,
( ~ cyclic(sK25,sK20,sK20,sK20)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_70595]) ).
cnf(c_71275,plain,
( ~ para(X0,sK25,X1,sK25)
| ~ midp(X2,X0,X1)
| midp(X2,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_71276,plain,
( ~ para(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_71275]) ).
cnf(c_74208,plain,
( ~ eqangle(sK20,X0,sK20,sK25,X1,X0,X1,sK25)
| ~ coll(sK20,X1,sK25)
| cyclic(X0,sK25,sK20,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_74210,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| cyclic(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_74208]) ).
cnf(c_74479,plain,
( ~ cyclic(X0,sK25,X1,sK20)
| cyclic(sK25,X0,X1,sK20) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_74480,plain,
( ~ cyclic(sK20,sK25,sK20,sK20)
| cyclic(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_74479]) ).
cnf(c_75891,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK20,sK25,X2,X3,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_75892,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_75891]) ).
cnf(c_75893,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_75892,c_74480,c_74210,c_71276,c_70596,c_46600,c_43541,c_43496,c_34444,c_34345,c_32080,c_28094,c_27417,c_27337,c_22443,c_22105,c_18456,c_16003,c_15352,c_15142,c_5770,c_5274,c_1130,c_951,c_937,c_523,c_367,c_238,c_189,c_183,c_180,c_162,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:37:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.43 Running first-order theorem proving
% 0.20/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.13/5.11 % SZS status Started for theBenchmark.p
% 32.13/5.11 % SZS status Theorem for theBenchmark.p
% 32.13/5.11
% 32.13/5.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.13/5.11
% 32.13/5.11 ------ iProver source info
% 32.13/5.11
% 32.13/5.11 git: date: 2023-05-31 18:12:56 +0000
% 32.13/5.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.13/5.11 git: non_committed_changes: false
% 32.13/5.11 git: last_make_outside_of_git: false
% 32.13/5.11
% 32.13/5.11 ------ Parsing...
% 32.13/5.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.13/5.11
% 32.13/5.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 32.13/5.11
% 32.13/5.11 ------ Preprocessing...
% 32.13/5.11
% 32.13/5.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.13/5.11 ------ Proving...
% 32.13/5.11 ------ Problem Properties
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11 clauses 125
% 32.13/5.11 conjectures 13
% 32.13/5.11 EPR 88
% 32.13/5.11 Horn 115
% 32.13/5.11 unary 13
% 32.13/5.11 binary 37
% 32.13/5.11 lits 341
% 32.13/5.11 lits eq 4
% 32.13/5.11 fd_pure 0
% 32.13/5.11 fd_pseudo 0
% 32.13/5.11 fd_cond 0
% 32.13/5.11 fd_pseudo_cond 4
% 32.13/5.11 AC symbols 0
% 32.13/5.11
% 32.13/5.11 ------ Input Options Time Limit: Unbounded
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11 ------
% 32.13/5.11 Current options:
% 32.13/5.11 ------
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11 ------ Proving...
% 32.13/5.11
% 32.13/5.11
% 32.13/5.11 % SZS status Theorem for theBenchmark.p
% 32.13/5.11
% 32.13/5.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.13/5.12
% 32.13/5.12
%------------------------------------------------------------------------------