TSTP Solution File: GEO658+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO658+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 05:43:16 EDT 2024
% Result : Theorem 39.56s 6.04s
% Output : Refutation 39.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 161 ( 83 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 303 ( 93 ~; 80 |; 102 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 379 ( 352 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284810,plain,
$false,
inference(subsumption_resolution,[],[f284698,f264603]) ).
fof(f264603,plain,
perp(sK9,sK9,sK11,sK12),
inference(unit_resulting_resolution,[],[f101436,f101435,f415]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
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(f101435,plain,
cong(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f30178,f36145,f26010,f25616,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,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,[],[f275]) ).
fof(f275,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,[],[f145]) ).
fof(f145,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(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(f25616,plain,
! [X0,X1] : eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f25407,f457]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,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(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(f25407,plain,
para(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f785,f770,f473]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,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(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(f770,plain,
perp(sK6,sK7,sK8,sK9),
inference(unit_resulting_resolution,[],[f761,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(f761,plain,
perp(sK6,sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f379,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
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(f379,plain,
perp(sK9,sK8,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK10,sK9,sK11,sK12)
& coll(sK12,sK4,sK5)
& coll(sK12,sK8,sK9)
& coll(sK11,sK4,sK7)
& coll(sK11,sK8,sK10)
& coll(sK10,sK5,sK6)
& perp(sK10,sK8,sK5,sK6)
& coll(sK9,sK6,sK7)
& perp(sK9,sK8,sK6,sK7)
& coll(sK8,sK4,sK6)
& para(sK4,sK6,sK5,sK7)
& para(sK4,sK5,sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X6,X5,X7,X8)
& coll(X8,X0,X1)
& coll(X8,X4,X5)
& coll(X7,X0,X3)
& coll(X7,X4,X6)
& coll(X6,X1,X2)
& perp(X6,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> ( ~ para(sK10,sK9,sK11,sK12)
& coll(sK12,sK4,sK5)
& coll(sK12,sK8,sK9)
& coll(sK11,sK4,sK7)
& coll(sK11,sK8,sK10)
& coll(sK10,sK5,sK6)
& perp(sK10,sK8,sK5,sK6)
& coll(sK9,sK6,sK7)
& perp(sK9,sK8,sK6,sK7)
& coll(sK8,sK4,sK6)
& para(sK4,sK6,sK5,sK7)
& para(sK4,sK5,sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X6,X5,X7,X8)
& coll(X8,X0,X1)
& coll(X8,X4,X5)
& coll(X7,X0,X3)
& coll(X7,X4,X6)
& coll(X6,X1,X2)
& perp(X6,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X6,X5,X7,X8)
& coll(X8,X0,X1)
& coll(X8,X4,X5)
& coll(X7,X0,X3)
& coll(X7,X4,X6)
& coll(X6,X1,X2)
& perp(X6,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X8,X0,X1)
& coll(X8,X4,X5)
& coll(X7,X0,X3)
& coll(X7,X4,X6)
& coll(X6,X1,X2)
& perp(X6,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X6,X5,X7,X8) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18] :
( ( coll(X18,X0,X1)
& coll(X18,X4,X5)
& coll(X13,X0,X3)
& coll(X13,X4,X12)
& coll(X12,X1,X2)
& perp(X12,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X12,X5,X13,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18] :
( ( coll(X18,X0,X1)
& coll(X18,X4,X5)
& coll(X13,X0,X3)
& coll(X13,X4,X12)
& coll(X12,X1,X2)
& perp(X12,X4,X1,X2)
& coll(X5,X2,X3)
& perp(X5,X4,X2,X3)
& coll(X4,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X12,X5,X13,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).
fof(f785,plain,
perp(sK8,sK9,sK6,sK7),
inference(unit_resulting_resolution,[],[f770,f408]) ).
fof(f26010,plain,
cyclic(sK9,sK11,sK8,sK8),
inference(unit_resulting_resolution,[],[f862,f25616,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,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,[],[f211]) ).
fof(f211,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,[],[f110]) ).
fof(f110,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(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(f862,plain,
coll(sK8,sK8,sK11),
inference(unit_resulting_resolution,[],[f508,f508,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
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(f508,plain,
coll(sK11,sK10,sK8),
inference(unit_resulting_resolution,[],[f383,f391]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f383,plain,
coll(sK11,sK8,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f36145,plain,
cyclic(sK9,sK11,sK8,sK11),
inference(unit_resulting_resolution,[],[f30154,f30162,f444]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,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(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(f30162,plain,
cyclic(sK9,sK9,sK11,sK11),
inference(unit_resulting_resolution,[],[f27392,f27392,f444]) ).
fof(f27392,plain,
cyclic(sK8,sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f26300,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f26300,plain,
cyclic(sK8,sK9,sK11,sK9),
inference(unit_resulting_resolution,[],[f26019,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f26019,plain,
cyclic(sK8,sK11,sK9,sK9),
inference(unit_resulting_resolution,[],[f1896,f25500,f418]) ).
fof(f25500,plain,
! [X0,X1] : eqangle(sK9,sK8,X0,X1,sK9,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f25404,f457]) ).
fof(f25404,plain,
para(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f379,f761,f473]) ).
fof(f1896,plain,
coll(sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f1154,f1154,f410]) ).
fof(f1154,plain,
coll(sK11,sK7,sK9),
inference(unit_resulting_resolution,[],[f932,f391]) ).
fof(f932,plain,
coll(sK11,sK9,sK7),
inference(unit_resulting_resolution,[],[f851,f859,f410]) ).
fof(f859,plain,
coll(sK7,sK7,sK11),
inference(unit_resulting_resolution,[],[f384,f384,f410]) ).
fof(f384,plain,
coll(sK11,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f851,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f380,f380,f410]) ).
fof(f380,plain,
coll(sK9,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f30154,plain,
cyclic(sK9,sK9,sK11,sK8),
inference(unit_resulting_resolution,[],[f26356,f27392,f444]) ).
fof(f26356,plain,
cyclic(sK8,sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f26058,f400]) ).
fof(f26058,plain,
cyclic(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f26016,f401]) ).
fof(f26016,plain,
cyclic(sK8,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f850,f25500,f418]) ).
fof(f850,plain,
coll(sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f545,f545,f410]) ).
fof(f545,plain,
coll(sK8,sK12,sK9),
inference(unit_resulting_resolution,[],[f385,f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f385,plain,
coll(sK12,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f30178,plain,
cyclic(sK9,sK11,sK8,sK9),
inference(unit_resulting_resolution,[],[f27393,f401]) ).
fof(f27393,plain,
cyclic(sK9,sK8,sK11,sK9),
inference(unit_resulting_resolution,[],[f26300,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f101436,plain,
cong(sK9,sK12,sK9,sK12),
inference(unit_resulting_resolution,[],[f27561,f30499,f26011,f25616,f469]) ).
fof(f26011,plain,
cyclic(sK9,sK12,sK8,sK8),
inference(unit_resulting_resolution,[],[f866,f25616,f418]) ).
fof(f866,plain,
coll(sK8,sK8,sK12),
inference(unit_resulting_resolution,[],[f510,f510,f410]) ).
fof(f510,plain,
coll(sK12,sK9,sK8),
inference(unit_resulting_resolution,[],[f385,f391]) ).
fof(f30499,plain,
cyclic(sK9,sK12,sK8,sK12),
inference(unit_resulting_resolution,[],[f27542,f27548,f444]) ).
fof(f27548,plain,
cyclic(sK9,sK9,sK12,sK12),
inference(unit_resulting_resolution,[],[f26400,f26400,f444]) ).
fof(f26400,plain,
cyclic(sK8,sK9,sK9,sK12),
inference(unit_resulting_resolution,[],[f26080,f400]) ).
fof(f26080,plain,
cyclic(sK8,sK9,sK12,sK9),
inference(unit_resulting_resolution,[],[f26020,f401]) ).
fof(f26020,plain,
cyclic(sK8,sK12,sK9,sK9),
inference(unit_resulting_resolution,[],[f865,f25500,f418]) ).
fof(f865,plain,
coll(sK9,sK9,sK12),
inference(unit_resulting_resolution,[],[f385,f385,f410]) ).
fof(f27542,plain,
cyclic(sK9,sK9,sK12,sK8),
inference(unit_resulting_resolution,[],[f26356,f26400,f444]) ).
fof(f27561,plain,
cyclic(sK9,sK12,sK8,sK9),
inference(unit_resulting_resolution,[],[f26401,f401]) ).
fof(f26401,plain,
cyclic(sK9,sK8,sK12,sK9),
inference(unit_resulting_resolution,[],[f26080,f399]) ).
fof(f284698,plain,
~ perp(sK9,sK9,sK11,sK12),
inference(unit_resulting_resolution,[],[f108291,f137100,f473]) ).
fof(f137100,plain,
~ para(sK8,sK8,sK11,sK12),
inference(unit_resulting_resolution,[],[f713,f101899,f470]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,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(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/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f101899,plain,
para(sK9,sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f101470,f101866,f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f101866,plain,
midp(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f1755,f101432,f395]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
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(f101432,plain,
cong(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f26357,f26007,f26007,f25616,f469]) ).
fof(f26007,plain,
cyclic(sK9,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f1687,f25616,f418]) ).
fof(f1687,plain,
coll(sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f1082,f1082,f410]) ).
fof(f1082,plain,
coll(sK8,sK11,sK8),
inference(unit_resulting_resolution,[],[f862,f391]) ).
fof(f26357,plain,
cyclic(sK9,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f26058,f399]) ).
fof(f1755,plain,
coll(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f545,f1102,f410]) ).
fof(f1102,plain,
coll(sK8,sK12,sK8),
inference(unit_resulting_resolution,[],[f866,f391]) ).
fof(f101470,plain,
midp(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f1685,f101426,f395]) ).
fof(f101426,plain,
cong(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f26456,f25998,f25998,f25571,f469]) ).
fof(f25571,plain,
! [X0,X1] : eqangle(sK8,sK10,X0,X1,sK8,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f25401,f457]) ).
fof(f25401,plain,
para(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f789,f774,f473]) ).
fof(f774,plain,
perp(sK5,sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f763,f407]) ).
fof(f763,plain,
perp(sK5,sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f381,f408]) ).
fof(f381,plain,
perp(sK10,sK8,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f789,plain,
perp(sK8,sK10,sK5,sK6),
inference(unit_resulting_resolution,[],[f774,f408]) ).
fof(f25998,plain,
cyclic(sK10,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f1687,f25571,f418]) ).
fof(f26456,plain,
cyclic(sK10,sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f26102,f399]) ).
fof(f26102,plain,
cyclic(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f26025,f401]) ).
fof(f26025,plain,
cyclic(sK8,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f849,f25479,f418]) ).
fof(f25479,plain,
! [X0,X1] : eqangle(sK10,sK8,X0,X1,sK10,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f25396,f457]) ).
fof(f25396,plain,
para(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f381,f763,f473]) ).
fof(f849,plain,
coll(sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f541,f541,f410]) ).
fof(f541,plain,
coll(sK8,sK11,sK10),
inference(unit_resulting_resolution,[],[f383,f392]) ).
fof(f1685,plain,
coll(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f541,f1082,f410]) ).
fof(f713,plain,
~ para(sK9,sK10,sK11,sK12),
inference(unit_resulting_resolution,[],[f694,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
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(f694,plain,
~ para(sK11,sK12,sK9,sK10),
inference(unit_resulting_resolution,[],[f683,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
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(f683,plain,
~ para(sK11,sK12,sK10,sK9),
inference(unit_resulting_resolution,[],[f387,f404]) ).
fof(f387,plain,
~ para(sK10,sK9,sK11,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f108291,plain,
perp(sK8,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f101864,f408]) ).
fof(f101864,plain,
perp(sK9,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f101432,f101432,f415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO658+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 22:01:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (27378)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27380)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (27385)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (27381)WARNING: value z3 for option sas not known
% 0.13/0.37 % (27379)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (27383)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (27381)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (27384)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (27382)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.19/0.44 TRYING [3]
% 0.19/0.44 TRYING [1]
% 0.19/0.47 TRYING [2]
% 3.79/0.89 TRYING [1]
% 3.79/0.89 TRYING [2]
% 4.16/0.94 TRYING [3]
% 7.11/1.37 TRYING [3]
% 39.56/6.01 % (27385)First to succeed.
% 39.56/6.02 % (27385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27378"
% 39.56/6.04 % (27385)Refutation found. Thanks to Tanya!
% 39.56/6.04 % SZS status Theorem for theBenchmark
% 39.56/6.04 % SZS output start Proof for theBenchmark
% See solution above
% 39.56/6.04 % (27385)------------------------------
% 39.56/6.04 % (27385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 39.56/6.04 % (27385)Termination reason: Refutation
% 39.56/6.04
% 39.56/6.04 % (27385)Memory used [KB]: 110256
% 39.56/6.04 % (27385)Time elapsed: 5.656 s
% 39.56/6.04 % (27385)Instructions burned: 12779 (million)
% 39.56/6.04 % (27378)Success in time 5.647 s
%------------------------------------------------------------------------------