TSTP Solution File: GEO627+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO627+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 23:12:11 EDT 2023
% Result : Theorem 67.76s 10.17s
% Output : CNFRefutation 67.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 271 ( 101 unt; 0 def)
% Number of atoms : 621 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 553 ( 203 ~; 194 |; 123 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-5 aty)
% Number of variables : 616 ( 1 sgn; 407 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(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(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
( ( perp(X19,X20,X18,X21)
& perp(X5,X12,X8,X21)
& coll(X20,X0,X2)
& perp(X20,X8,X0,X2)
& coll(X19,X0,X1)
& perp(X19,X8,X0,X1)
& circle(X7,X0,X8,X23)
& coll(X12,X0,X1)
& perp(X12,X18,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X18,X0,X2)
& circle(X7,X0,X18,X22)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X18,X8,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110991F) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
( ( perp(X19,X20,X18,X21)
& perp(X5,X12,X8,X21)
& coll(X20,X0,X2)
& perp(X20,X8,X0,X2)
& coll(X19,X0,X1)
& perp(X19,X8,X0,X1)
& circle(X7,X0,X8,X23)
& coll(X12,X0,X1)
& perp(X12,X18,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X18,X0,X2)
& circle(X7,X0,X18,X22)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X18,X8,X21) ),
inference(negated_conjecture,[],[f95]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(rectify,[],[f20]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(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(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X4,X7,X10) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(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(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& perp(X8,X9,X4,X10)
& perp(X5,X6,X7,X10)
& coll(X9,X0,X2)
& perp(X9,X7,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X7,X0,X1)
& circle(X3,X0,X7,X12)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK20,sK24,sK27,sK30)
& perp(sK28,sK29,sK24,sK30)
& perp(sK25,sK26,sK27,sK30)
& coll(sK29,sK20,sK22)
& perp(sK29,sK27,sK20,sK22)
& coll(sK28,sK20,sK21)
& perp(sK28,sK27,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& coll(sK26,sK20,sK21)
& perp(sK26,sK24,sK20,sK21)
& coll(sK25,sK20,sK22)
& perp(sK25,sK24,sK20,sK22)
& circle(sK23,sK20,sK24,sK31)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK20,sK24,sK27,sK30)
& perp(sK28,sK29,sK24,sK30)
& perp(sK25,sK26,sK27,sK30)
& coll(sK29,sK20,sK22)
& perp(sK29,sK27,sK20,sK22)
& coll(sK28,sK20,sK21)
& perp(sK28,sK27,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& coll(sK26,sK20,sK21)
& perp(sK26,sK24,sK20,sK21)
& coll(sK25,sK20,sK22)
& perp(sK25,sK24,sK20,sK22)
& circle(sK23,sK20,sK24,sK31)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(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(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f475,plain,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
perp(sK25,sK26,sK27,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
~ cyclic(sK20,sK24,sK27,sK30),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_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_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK20,sK24,sK27,sK30),
inference(cnf_transformation,[],[f486]) ).
cnf(c_164,negated_conjecture,
perp(sK25,sK26,sK27,sK30),
inference(cnf_transformation,[],[f484]) ).
cnf(c_165,negated_conjecture,
coll(sK29,sK20,sK22),
inference(cnf_transformation,[],[f483]) ).
cnf(c_166,negated_conjecture,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f482]) ).
cnf(c_167,negated_conjecture,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f481]) ).
cnf(c_170,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_171,negated_conjecture,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_172,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_173,negated_conjecture,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_184,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_190,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_239,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_6678,plain,
coll(sK29,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_6679,plain,
coll(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_6680,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_170,c_49]) ).
cnf(c_6681,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_172,c_49]) ).
cnf(c_6690,plain,
coll(sK20,sK29,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_6691,plain,
coll(sK20,sK28,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_6694,plain,
coll(sK22,sK29,sK20),
inference(superposition,[status(thm)],[c_6678,c_50]) ).
cnf(c_6696,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_6680,c_50]) ).
cnf(c_6697,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_6681,c_50]) ).
cnf(c_6699,plain,
coll(sK20,sK22,sK29),
inference(superposition,[status(thm)],[c_6690,c_49]) ).
cnf(c_6760,plain,
( ~ coll(sK29,sK20,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6762,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
cnf(c_6763,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
cnf(c_6764,plain,
( ~ coll(sK29,sK22,X0)
| coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_6678,c_51]) ).
cnf(c_6765,plain,
( ~ coll(sK28,sK21,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_6679,c_51]) ).
cnf(c_6769,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6691,c_51]) ).
cnf(c_6772,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6694,c_51]) ).
cnf(c_6774,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6696,c_51]) ).
cnf(c_6775,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6697,c_51]) ).
cnf(c_6776,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK29,X0,sK20) ),
inference(superposition,[status(thm)],[c_6699,c_51]) ).
cnf(c_6853,plain,
perp(sK25,sK26,sK30,sK27),
inference(superposition,[status(thm)],[c_164,c_55]) ).
cnf(c_6863,plain,
perp(sK27,sK30,sK25,sK26),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_6864,plain,
perp(sK20,sK22,sK29,sK27),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6866,plain,
perp(sK20,sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_171,c_56]) ).
cnf(c_6867,plain,
perp(sK20,sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_173,c_56]) ).
cnf(c_6893,plain,
perp(sK20,sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_6864,c_55]) ).
cnf(c_6897,plain,
perp(sK20,sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_6866,c_55]) ).
cnf(c_6899,plain,
perp(sK20,sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_6867,c_55]) ).
cnf(c_6904,plain,
coll(sK22,sK22,sK29),
inference(superposition,[status(thm)],[c_165,c_6760]) ).
cnf(c_6927,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK29,X0,sK22) ),
inference(superposition,[status(thm)],[c_6904,c_51]) ).
cnf(c_6959,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_170,c_6762]) ).
cnf(c_6960,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_6959,c_51]) ).
cnf(c_6969,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_172,c_6763]) ).
cnf(c_6970,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_6969,c_51]) ).
cnf(c_6991,plain,
coll(sK20,sK20,sK29),
inference(superposition,[status(thm)],[c_6678,c_6764]) ).
cnf(c_7027,plain,
coll(sK20,sK29,sK20),
inference(superposition,[status(thm)],[c_6991,c_49]) ).
cnf(c_7051,plain,
coll(sK20,sK20,sK28),
inference(superposition,[status(thm)],[c_6679,c_6765]) ).
cnf(c_7075,plain,
( ~ coll(sK20,sK29,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7027,c_51]) ).
cnf(c_7080,plain,
( ~ coll(sK20,sK29,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7075]) ).
cnf(c_7083,plain,
coll(sK20,sK28,sK20),
inference(superposition,[status(thm)],[c_7051,c_49]) ).
cnf(c_7150,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_7153,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7150]) ).
cnf(c_7177,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_7083,c_6769]) ).
cnf(c_7239,plain,
coll(sK29,sK29,sK22),
inference(superposition,[status(thm)],[c_6904,c_6927]) ).
cnf(c_7242,plain,
( ~ coll(sK29,sK29,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_7239,c_51]) ).
cnf(c_7338,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7177,c_50]) ).
cnf(c_7417,plain,
coll(sK26,sK26,sK21),
inference(superposition,[status(thm)],[c_6959,c_6960]) ).
cnf(c_7418,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_7417,c_51]) ).
cnf(c_7429,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6969,c_6970]) ).
cnf(c_7430,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_7429,c_51]) ).
cnf(c_7608,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK29,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_7610,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_171,c_57]) ).
cnf(c_7611,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_173,c_57]) ).
cnf(c_7622,plain,
( ~ perp(sK25,sK26,X0,X1)
| para(sK27,sK30,X0,X1) ),
inference(superposition,[status(thm)],[c_6863,c_57]) ).
cnf(c_7623,plain,
( ~ perp(sK29,sK27,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6864,c_57]) ).
cnf(c_8082,plain,
para(sK29,sK27,sK29,sK27),
inference(superposition,[status(thm)],[c_6864,c_7608]) ).
cnf(c_8084,plain,
para(sK29,sK27,sK27,sK29),
inference(superposition,[status(thm)],[c_6893,c_7608]) ).
cnf(c_8120,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_6897,c_7610]) ).
cnf(c_8130,plain,
para(sK25,sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_6899,c_7611]) ).
cnf(c_8207,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7338,c_51]) ).
cnf(c_8267,plain,
coll(sK29,sK27,sK27),
inference(superposition,[status(thm)],[c_8082,c_115]) ).
cnf(c_8280,plain,
para(sK27,sK29,sK29,sK27),
inference(superposition,[status(thm)],[c_8084,c_53]) ).
cnf(c_8302,plain,
coll(sK29,sK29,sK20),
inference(superposition,[status(thm)],[c_6699,c_6776]) ).
cnf(c_8474,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_8120,c_53]) ).
cnf(c_8628,plain,
para(sK24,sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_8130,c_53]) ).
cnf(c_9614,plain,
coll(sK27,sK29,sK27),
inference(superposition,[status(thm)],[c_8267,c_50]) ).
cnf(c_9999,plain,
( ~ coll(sK29,sK29,X0)
| coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_8302,c_51]) ).
cnf(c_11748,plain,
para(sK27,sK30,sK30,sK27),
inference(superposition,[status(thm)],[c_6853,c_7622]) ).
cnf(c_11799,plain,
para(sK30,sK27,sK27,sK30),
inference(superposition,[status(thm)],[c_11748,c_53]) ).
cnf(c_11828,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_7623]) ).
cnf(c_12592,plain,
coll(sK27,sK27,sK29),
inference(superposition,[status(thm)],[c_9614,c_49]) ).
cnf(c_14792,plain,
( ~ coll(sK27,sK27,X0)
| coll(sK29,X0,sK27) ),
inference(superposition,[status(thm)],[c_12592,c_51]) ).
cnf(c_24147,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_24148,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24147]) ).
cnf(c_28063,plain,
para(sK27,sK29,sK27,sK29),
inference(superposition,[status(thm)],[c_8280,c_52]) ).
cnf(c_28311,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_8474,c_52]) ).
cnf(c_28351,plain,
para(sK24,sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_8628,c_52]) ).
cnf(c_28444,plain,
para(sK30,sK27,sK30,sK27),
inference(superposition,[status(thm)],[c_11799,c_52]) ).
cnf(c_29090,plain,
coll(sK27,sK29,sK29),
inference(superposition,[status(thm)],[c_28063,c_115]) ).
cnf(c_29106,plain,
coll(sK29,sK27,sK29),
inference(superposition,[status(thm)],[c_29090,c_50]) ).
cnf(c_29111,plain,
( ~ coll(sK29,sK27,X0)
| coll(sK29,X0,sK29) ),
inference(superposition,[status(thm)],[c_29106,c_51]) ).
cnf(c_29113,plain,
coll(sK29,sK29,sK27),
inference(superposition,[status(thm)],[c_29106,c_49]) ).
cnf(c_29145,plain,
coll(sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_29113,c_7242]) ).
cnf(c_29151,plain,
coll(sK22,sK29,sK27),
inference(superposition,[status(thm)],[c_29145,c_49]) ).
cnf(c_29164,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_29151,c_6772]) ).
cnf(c_29492,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_29164,c_49]) ).
cnf(c_29750,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK27,X0,sK20) ),
inference(superposition,[status(thm)],[c_29492,c_51]) ).
cnf(c_39293,plain,
( ~ eqangle(sK20,sK22,sK20,X0,sK20,sK22,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK22,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_39294,plain,
( ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39293]) ).
cnf(c_40704,plain,
coll(sK24,sK26,sK26),
inference(superposition,[status(thm)],[c_28311,c_115]) ).
cnf(c_41014,plain,
coll(sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_40704,c_50]) ).
cnf(c_41021,plain,
coll(sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_41014,c_49]) ).
cnf(c_41027,plain,
coll(sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_41021,c_7418]) ).
cnf(c_41115,plain,
coll(sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_41027,c_49]) ).
cnf(c_41139,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_41115,c_6774]) ).
cnf(c_42129,plain,
coll(sK24,sK25,sK25),
inference(superposition,[status(thm)],[c_28351,c_115]) ).
cnf(c_42152,plain,
coll(sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_42129,c_50]) ).
cnf(c_42178,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_41139,c_49]) ).
cnf(c_42225,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_42152,c_49]) ).
cnf(c_42565,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_42178,c_8207]) ).
cnf(c_42588,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_42225,c_7430]) ).
cnf(c_43893,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_42588,c_49]) ).
cnf(c_44701,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_43893,c_6775]) ).
cnf(c_45041,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_44701,c_49]) ).
cnf(c_45799,plain,
coll(sK30,sK27,sK27),
inference(superposition,[status(thm)],[c_28444,c_115]) ).
cnf(c_45809,plain,
coll(sK27,sK30,sK27),
inference(superposition,[status(thm)],[c_45799,c_50]) ).
cnf(c_45903,plain,
coll(sK27,sK27,sK30),
inference(superposition,[status(thm)],[c_45809,c_49]) ).
cnf(c_51929,plain,
coll(sK29,sK30,sK27),
inference(superposition,[status(thm)],[c_45903,c_14792]) ).
cnf(c_52081,plain,
coll(sK29,sK27,sK30),
inference(superposition,[status(thm)],[c_51929,c_49]) ).
cnf(c_73432,plain,
( ~ cyclic(sK22,X0,sK20,X1)
| ~ cyclic(sK22,X0,sK20,sK20)
| cyclic(X0,sK20,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_73437,plain,
( ~ cyclic(sK22,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_73432]) ).
cnf(c_88192,plain,
coll(sK29,sK30,sK29),
inference(superposition,[status(thm)],[c_52081,c_29111]) ).
cnf(c_89248,plain,
coll(sK29,sK29,sK30),
inference(superposition,[status(thm)],[c_88192,c_49]) ).
cnf(c_89894,plain,
coll(sK20,sK30,sK29),
inference(superposition,[status(thm)],[c_89248,c_9999]) ).
cnf(c_90018,plain,
coll(sK20,sK29,sK30),
inference(superposition,[status(thm)],[c_89894,c_49]) ).
cnf(c_92226,plain,
coll(sK20,sK30,sK20),
inference(superposition,[status(thm)],[c_90018,c_7075]) ).
cnf(c_105084,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_45041,c_29750]) ).
cnf(c_105115,plain,
coll(sK24,sK27,sK20),
inference(superposition,[status(thm)],[c_105084,c_50]) ).
cnf(c_110503,plain,
( ~ cyclic(X0,sK20,sK24,sK27)
| ~ cyclic(X0,sK20,sK24,sK30)
| cyclic(sK20,sK24,sK27,sK30) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_110504,plain,
( ~ cyclic(sK20,sK20,sK24,sK27)
| ~ cyclic(sK20,sK20,sK24,sK30)
| cyclic(sK20,sK24,sK27,sK30) ),
inference(instantiation,[status(thm)],[c_110503]) ).
cnf(c_120064,plain,
( ~ eqangle(sK24,X0,sK24,sK20,sK27,X0,sK27,sK20)
| ~ coll(sK24,sK27,sK20)
| cyclic(X0,sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_120065,plain,
( ~ eqangle(sK24,sK20,sK24,sK20,sK27,sK20,sK27,sK20)
| ~ coll(sK24,sK27,sK20)
| cyclic(sK20,sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_120064]) ).
cnf(c_134805,plain,
( ~ eqangle(sK24,X0,sK27,X0,sK24,sK20,sK27,sK20)
| eqangle(sK24,X0,sK24,sK20,sK27,X0,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_134806,plain,
( ~ eqangle(sK24,sK20,sK27,sK20,sK24,sK20,sK27,sK20)
| eqangle(sK24,sK20,sK24,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_134805]) ).
cnf(c_136610,plain,
( ~ eqangle(sK20,X0,sK20,X1,sK24,X0,sK24,X1)
| ~ coll(sK20,sK24,X1)
| cyclic(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_136611,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK24,sK20,sK24,sK20)
| ~ coll(sK20,sK24,sK20)
| cyclic(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_136610]) ).
cnf(c_168318,plain,
( ~ perp(X0,X1,sK24,sK20)
| ~ perp(sK24,sK20,X0,X1)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_168797,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,sK27,sK20,sK24,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_169263,plain,
( ~ eqangle(sK24,X0,sK24,X1,sK20,X0,sK20,X1)
| eqangle(sK20,X0,sK20,X1,sK24,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_169264,plain,
( ~ eqangle(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_169263]) ).
cnf(c_169788,plain,
( ~ perp(X0,X1,sK24,X2)
| perp(sK24,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_171274,plain,
( ~ eqangle(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20)
| eqangle(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_171693,plain,
( ~ cyclic(X0,sK20,X1,sK24)
| ~ cyclic(X0,sK20,X1,sK30)
| cyclic(sK20,X1,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_171694,plain,
( ~ cyclic(sK20,sK20,sK20,sK24)
| ~ cyclic(sK20,sK20,sK20,sK30)
| cyclic(sK20,sK20,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_171693]) ).
cnf(c_172466,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,X0,X1,sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_172467,plain,
( ~ para(sK24,sK20,sK24,sK20)
| eqangle(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_172466]) ).
cnf(c_172519,plain,
( ~ perp(sK16(X0,X1,X2,sK24,sK20),X0,sK24,sK20)
| ~ perp(sK24,sK20,sK16(X0,X1,X2,sK24,sK20),X0)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_168318]) ).
cnf(c_172520,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,sK24,sK20)
| perp(sK16(X0,X2,X1,sK24,sK20),X0,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_172521,plain,
( ~ perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20)
| ~ perp(sK24,sK20,sK16(sK20,sK20,sK20,sK24,sK20),sK20)
| para(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_172519]) ).
cnf(c_172522,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20)
| perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_172520]) ).
cnf(c_174737,plain,
( ~ perp(sK16(X0,X1,X2,sK24,X3),X0,sK24,X3)
| perp(sK24,X3,sK16(X0,X1,X2,sK24,X3),X0) ),
inference(instantiation,[status(thm)],[c_169788]) ).
cnf(c_174739,plain,
( ~ perp(sK16(sK20,sK20,sK20,sK24,sK20),sK20,sK24,sK20)
| perp(sK24,sK20,sK16(sK20,sK20,sK20,sK24,sK20),sK20) ),
inference(instantiation,[status(thm)],[c_174737]) ).
cnf(c_178968,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK30,sK20,X2,X3,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_178969,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK30,sK20,sK20,sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_178968]) ).
cnf(c_183210,plain,
( ~ eqangle(sK20,X0,sK20,X1,sK30,X0,sK30,X1)
| ~ coll(sK20,sK30,X1)
| cyclic(X0,X1,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_183211,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK30,sK20,sK30,sK20)
| ~ coll(sK20,sK30,sK20)
| cyclic(sK20,sK20,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_183210]) ).
cnf(c_205702,plain,
( ~ eqangle(sK20,X0,sK30,X0,sK20,X1,sK30,X1)
| eqangle(sK20,X0,sK20,X1,sK30,X0,sK30,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_205703,plain,
( ~ eqangle(sK20,sK20,sK30,sK20,sK20,sK20,sK30,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK30,sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_205702]) ).
cnf(c_205704,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_205703,c_183211,c_178969,c_174739,c_172522,c_172521,c_172467,c_171694,c_171274,c_169264,c_168797,c_136611,c_134806,c_120065,c_110504,c_105115,c_92226,c_73437,c_42565,c_39294,c_24148,c_11828,c_7153,c_7080,c_7027,c_239,c_190,c_184,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO627+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 19:14:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 67.76/10.17 % SZS status Started for theBenchmark.p
% 67.76/10.17 % SZS status Theorem for theBenchmark.p
% 67.76/10.17
% 67.76/10.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 67.76/10.17
% 67.76/10.17 ------ iProver source info
% 67.76/10.17
% 67.76/10.17 git: date: 2023-05-31 18:12:56 +0000
% 67.76/10.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 67.76/10.17 git: non_committed_changes: false
% 67.76/10.17 git: last_make_outside_of_git: false
% 67.76/10.17
% 67.76/10.17 ------ Parsing...
% 67.76/10.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 67.76/10.17
% 67.76/10.17 ------ 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
% 67.76/10.17
% 67.76/10.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 67.76/10.17
% 67.76/10.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 67.76/10.17 ------ Proving...
% 67.76/10.17 ------ Problem Properties
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17 clauses 126
% 67.76/10.17 conjectures 14
% 67.76/10.17 EPR 89
% 67.76/10.17 Horn 116
% 67.76/10.17 unary 14
% 67.76/10.17 binary 37
% 67.76/10.17 lits 342
% 67.76/10.17 lits eq 4
% 67.76/10.17 fd_pure 0
% 67.76/10.17 fd_pseudo 0
% 67.76/10.17 fd_cond 0
% 67.76/10.17 fd_pseudo_cond 4
% 67.76/10.17 AC symbols 0
% 67.76/10.17
% 67.76/10.17 ------ Schedule dynamic 5 is on
% 67.76/10.17
% 67.76/10.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17 ------
% 67.76/10.17 Current options:
% 67.76/10.17 ------
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17 ------ Proving...
% 67.76/10.17
% 67.76/10.17
% 67.76/10.17 % SZS status Theorem for theBenchmark.p
% 67.76/10.17
% 67.76/10.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.76/10.17
% 67.76/10.18
%------------------------------------------------------------------------------