TSTP Solution File: GEO626+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO626+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 : n013.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 : Tue Apr 30 11:35:11 EDT 2024
% Result : Theorem 47.08s 7.08s
% Output : Refutation 47.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 278 ( 179 unt; 0 def)
% Number of atoms : 529 ( 0 equ)
% Maximal formula atoms : 22 ( 1 avg)
% Number of connectives : 370 ( 119 ~; 108 |; 105 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 480 ( 440 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485362,plain,
$false,
inference(subsumption_resolution,[],[f485347,f472627]) ).
fof(f472627,plain,
~ para(sK12,sK8,sK9,sK11),
inference(unit_resulting_resolution,[],[f1576,f107735,f459133,f437]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f459133,plain,
midp(sK12,sK12,sK9),
inference(unit_resulting_resolution,[],[f445653,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f445653,plain,
midp(sK12,sK9,sK12),
inference(unit_resulting_resolution,[],[f107236,f2044,f171665,f437]) ).
fof(f171665,plain,
para(sK4,sK12,sK4,sK12),
inference(unit_resulting_resolution,[],[f112595,f171620,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f171620,plain,
midp(sK10,sK12,sK12),
inference(unit_resulting_resolution,[],[f1373,f102231,f394]) ).
fof(f394,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(f102231,plain,
cong(sK10,sK12,sK10,sK12),
inference(unit_resulting_resolution,[],[f27169,f28747,f26283,f16502,f468]) ).
fof(f468,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(f16502,plain,
! [X0,X1] : eqangle(sK8,sK10,X0,X1,sK8,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f16243,f456]) ).
fof(f456,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(f16243,plain,
para(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f652,f637,f472]) ).
fof(f472,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(f637,plain,
perp(sK4,sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f625,f406]) ).
fof(f406,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(f625,plain,
perp(sK4,sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f380,f407]) ).
fof(f407,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(f380,plain,
perp(sK10,sK8,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK11,sK6,sK12,sK5)
& coll(sK12,sK8,sK10)
& circle(sK7,sK8,sK12,sK15)
& coll(sK11,sK8,sK9)
& circle(sK7,sK8,sK11,sK14)
& coll(sK10,sK4,sK6)
& perp(sK10,sK8,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK8,sK4,sK5)
& circle(sK7,sK4,sK8,sK13)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK11,sK6,sK12,sK5)
& coll(sK12,sK8,sK10)
& circle(sK7,sK8,sK12,sK15)
& coll(sK11,sK8,sK9)
& circle(sK7,sK8,sK11,sK14)
& coll(sK10,sK4,sK6)
& perp(sK10,sK8,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK8,sK4,sK5)
& circle(sK7,sK4,sK8,sK13)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> para(X7,X2,X8,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X12,X5,X18,X19,X20,X21,X22] :
( ( coll(X19,X3,X5)
& circle(X7,X3,X19,X22)
& coll(X18,X3,X12)
& circle(X7,X3,X18,X21)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X3,X0,X1)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X18,X2,X19,X1) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X12,X5,X18,X19,X20,X21,X22] :
( ( coll(X19,X3,X5)
& circle(X7,X3,X19,X22)
& coll(X18,X3,X12)
& circle(X7,X3,X18,X21)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X3,X0,X1)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X18,X2,X19,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).
fof(f652,plain,
perp(sK8,sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f637,f407]) ).
fof(f26283,plain,
cyclic(sK10,sK12,sK8,sK8),
inference(unit_resulting_resolution,[],[f707,f16502,f417]) ).
fof(f417,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(f707,plain,
coll(sK8,sK8,sK12),
inference(unit_resulting_resolution,[],[f507,f507,f409]) ).
fof(f409,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(f507,plain,
coll(sK12,sK10,sK8),
inference(unit_resulting_resolution,[],[f385,f390]) ).
fof(f390,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(f385,plain,
coll(sK12,sK8,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f28747,plain,
cyclic(sK10,sK12,sK8,sK12),
inference(unit_resulting_resolution,[],[f27150,f27156,f443]) ).
fof(f443,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(f27156,plain,
cyclic(sK10,sK10,sK12,sK12),
inference(unit_resulting_resolution,[],[f26588,f26588,f443]) ).
fof(f26588,plain,
cyclic(sK8,sK10,sK10,sK12),
inference(unit_resulting_resolution,[],[f26378,f399]) ).
fof(f399,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(f26378,plain,
cyclic(sK8,sK10,sK12,sK10),
inference(unit_resulting_resolution,[],[f26256,f400]) ).
fof(f400,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(f26256,plain,
cyclic(sK8,sK12,sK10,sK10),
inference(unit_resulting_resolution,[],[f699,f16404,f417]) ).
fof(f16404,plain,
! [X0,X1] : eqangle(sK10,sK8,X0,X1,sK10,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f16240,f456]) ).
fof(f16240,plain,
para(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f380,f625,f472]) ).
fof(f699,plain,
coll(sK10,sK10,sK12),
inference(unit_resulting_resolution,[],[f385,f385,f409]) ).
fof(f27150,plain,
cyclic(sK10,sK10,sK12,sK8),
inference(unit_resulting_resolution,[],[f26544,f26588,f443]) ).
fof(f26544,plain,
cyclic(sK8,sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f26356,f399]) ).
fof(f26356,plain,
cyclic(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f26252,f400]) ).
fof(f26252,plain,
cyclic(sK8,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f710,f16404,f417]) ).
fof(f710,plain,
coll(sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f525,f525,f409]) ).
fof(f525,plain,
coll(sK8,sK12,sK10),
inference(unit_resulting_resolution,[],[f385,f391]) ).
fof(f391,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(f27169,plain,
cyclic(sK10,sK12,sK8,sK10),
inference(unit_resulting_resolution,[],[f26589,f400]) ).
fof(f26589,plain,
cyclic(sK10,sK8,sK12,sK10),
inference(unit_resulting_resolution,[],[f26378,f398]) ).
fof(f398,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(f1373,plain,
coll(sK10,sK12,sK12),
inference(unit_resulting_resolution,[],[f385,f924,f409]) ).
fof(f924,plain,
coll(sK12,sK8,sK12),
inference(unit_resulting_resolution,[],[f706,f390]) ).
fof(f706,plain,
coll(sK12,sK12,sK8),
inference(unit_resulting_resolution,[],[f549,f549,f409]) ).
fof(f549,plain,
coll(sK8,sK10,sK12),
inference(unit_resulting_resolution,[],[f525,f390]) ).
fof(f112595,plain,
midp(sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f16326,f16326,f111870,f438]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,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,[],[f236]) ).
fof(f236,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,[],[f121]) ).
fof(f121,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(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(f111870,plain,
midp(sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f16322,f16322,f111807,f438]) ).
fof(f111807,plain,
midp(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f1027,f102227,f394]) ).
fof(f102227,plain,
cong(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f26545,f26279,f26279,f16502,f468]) ).
fof(f26279,plain,
cyclic(sK10,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f996,f16502,f417]) ).
fof(f996,plain,
coll(sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f792,f792,f409]) ).
fof(f792,plain,
coll(sK8,sK11,sK8),
inference(unit_resulting_resolution,[],[f703,f390]) ).
fof(f703,plain,
coll(sK8,sK8,sK11),
inference(unit_resulting_resolution,[],[f506,f506,f409]) ).
fof(f506,plain,
coll(sK11,sK9,sK8),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f383,plain,
coll(sK11,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f26545,plain,
cyclic(sK10,sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f26356,f398]) ).
fof(f1027,plain,
coll(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f525,f810,f409]) ).
fof(f810,plain,
coll(sK8,sK12,sK8),
inference(unit_resulting_resolution,[],[f707,f390]) ).
fof(f16322,plain,
para(sK8,sK7,sK8,sK7),
inference(unit_resulting_resolution,[],[f16027,f16066,f472]) ).
fof(f16066,plain,
perp(sK8,sK17(sK8,sK12,sK15,sK7),sK8,sK7),
inference(unit_resulting_resolution,[],[f16027,f407]) ).
fof(f16027,plain,
perp(sK8,sK7,sK8,sK17(sK8,sK12,sK15,sK7)),
inference(unit_resulting_resolution,[],[f15990,f406]) ).
fof(f15990,plain,
perp(sK8,sK7,sK17(sK8,sK12,sK15,sK7),sK8),
inference(unit_resulting_resolution,[],[f15967,f407]) ).
fof(f15967,plain,
perp(sK17(sK8,sK12,sK15,sK7),sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f384,f420]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK17(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f384,plain,
circle(sK7,sK8,sK12,sK15),
inference(cnf_transformation,[],[f330]) ).
fof(f16326,plain,
para(sK7,sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f16052,f16088,f472]) ).
fof(f16088,plain,
perp(sK4,sK17(sK4,sK8,sK13,sK7),sK7,sK4),
inference(unit_resulting_resolution,[],[f16046,f406]) ).
fof(f16046,plain,
perp(sK4,sK17(sK4,sK8,sK13,sK7),sK4,sK7),
inference(unit_resulting_resolution,[],[f16007,f407]) ).
fof(f16007,plain,
perp(sK4,sK7,sK4,sK17(sK4,sK8,sK13,sK7)),
inference(unit_resulting_resolution,[],[f15978,f406]) ).
fof(f15978,plain,
perp(sK4,sK7,sK17(sK4,sK8,sK13,sK7),sK4),
inference(unit_resulting_resolution,[],[f15965,f407]) ).
fof(f15965,plain,
perp(sK17(sK4,sK8,sK13,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f377,f420]) ).
fof(f377,plain,
circle(sK7,sK4,sK8,sK13),
inference(cnf_transformation,[],[f330]) ).
fof(f16052,plain,
perp(sK7,sK4,sK4,sK17(sK4,sK8,sK13,sK7)),
inference(unit_resulting_resolution,[],[f16011,f406]) ).
fof(f16011,plain,
perp(sK7,sK4,sK17(sK4,sK8,sK13,sK7),sK4),
inference(unit_resulting_resolution,[],[f15979,f407]) ).
fof(f15979,plain,
perp(sK17(sK4,sK8,sK13,sK7),sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f15965,f406]) ).
fof(f2044,plain,
coll(sK12,sK9,sK12),
inference(unit_resulting_resolution,[],[f924,f1390,f409]) ).
fof(f1390,plain,
coll(sK12,sK8,sK9),
inference(unit_resulting_resolution,[],[f932,f390]) ).
fof(f932,plain,
coll(sK12,sK9,sK8),
inference(unit_resulting_resolution,[],[f707,f709,f409]) ).
fof(f709,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f526,f526,f409]) ).
fof(f526,plain,
coll(sK9,sK11,sK8),
inference(unit_resulting_resolution,[],[f506,f391]) ).
fof(f107236,plain,
midp(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f767,f16326,f106033,f437]) ).
fof(f106033,plain,
midp(sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f16923,f16322,f105153,f437]) ).
fof(f105153,plain,
midp(sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f104982,f387]) ).
fof(f104982,plain,
midp(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f709,f16238,f104930,f437]) ).
fof(f104930,plain,
midp(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f995,f102219,f394]) ).
fof(f102219,plain,
cong(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f26446,f26270,f26270,f16467,f468]) ).
fof(f16467,plain,
! [X0,X1] : eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f16239,f456]) ).
fof(f16239,plain,
para(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f648,f633,f472]) ).
fof(f633,plain,
perp(sK4,sK5,sK8,sK9),
inference(unit_resulting_resolution,[],[f624,f406]) ).
fof(f624,plain,
perp(sK4,sK5,sK9,sK8),
inference(unit_resulting_resolution,[],[f378,f407]) ).
fof(f378,plain,
perp(sK9,sK8,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f648,plain,
perp(sK8,sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f633,f407]) ).
fof(f26270,plain,
cyclic(sK9,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f996,f16467,f417]) ).
fof(f26446,plain,
cyclic(sK9,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f26312,f398]) ).
fof(f26312,plain,
cyclic(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f26243,f400]) ).
fof(f26243,plain,
cyclic(sK8,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f708,f16387,f417]) ).
fof(f16387,plain,
! [X0,X1] : eqangle(sK9,sK8,X0,X1,sK9,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f16236,f456]) ).
fof(f16236,plain,
para(sK9,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f378,f624,f472]) ).
fof(f708,plain,
coll(sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f524,f524,f409]) ).
fof(f524,plain,
coll(sK8,sK11,sK9),
inference(unit_resulting_resolution,[],[f383,f391]) ).
fof(f995,plain,
coll(sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f524,f792,f409]) ).
fof(f16238,plain,
para(sK9,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f378,f633,f472]) ).
fof(f16923,plain,
coll(sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f16689,f16789,f409]) ).
fof(f16789,plain,
coll(sK7,sK4,sK9),
inference(unit_resulting_resolution,[],[f16721,f390]) ).
fof(f16721,plain,
coll(sK7,sK9,sK4),
inference(unit_resulting_resolution,[],[f692,f16695,f409]) ).
fof(f16695,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f16688,f16688,f409]) ).
fof(f16688,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f16667,f16667,f409]) ).
fof(f16667,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f16319,f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f16319,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f16007,f16046,f472]) ).
fof(f692,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f504,f504,f409]) ).
fof(f504,plain,
coll(sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f379,f390]) ).
fof(f379,plain,
coll(sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f16689,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f16667,f391]) ).
fof(f767,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f692,f390]) ).
fof(f107735,plain,
~ midp(sK8,sK12,sK11),
inference(unit_resulting_resolution,[],[f602,f106732,f435]) ).
fof(f106732,plain,
midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f3583,f21618,f106263,f437]) ).
fof(f106263,plain,
midp(sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f16309,f16309,f105388,f438]) ).
fof(f105388,plain,
midp(sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f16326,f16326,f104983,f438]) ).
fof(f104983,plain,
midp(sK9,sK7,sK7),
inference(unit_resulting_resolution,[],[f16322,f16322,f104930,f438]) ).
fof(f16309,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f633,f648,f472]) ).
fof(f21618,plain,
para(sK9,sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f378,f16884,f472]) ).
fof(f16884,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f16775,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f16775,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f16718,f390]) ).
fof(f16718,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f705,f16695,f409]) ).
fof(f705,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f523,f523,f409]) ).
fof(f523,plain,
coll(sK6,sK10,sK4),
inference(unit_resulting_resolution,[],[f505,f391]) ).
fof(f505,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f381,f390]) ).
fof(f381,plain,
coll(sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3583,plain,
coll(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f1693,f1963,f409]) ).
fof(f1963,plain,
coll(sK6,sK10,sK5),
inference(unit_resulting_resolution,[],[f1301,f1349,f409]) ).
fof(f1349,plain,
coll(sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f912,f390]) ).
fof(f912,plain,
coll(sK5,sK6,sK4),
inference(unit_resulting_resolution,[],[f701,f705,f409]) ).
fof(f701,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f522,f522,f409]) ).
fof(f522,plain,
coll(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f504,f391]) ).
fof(f1301,plain,
coll(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f891,f390]) ).
fof(f891,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f694,f701,f409]) ).
fof(f694,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f505,f505,f409]) ).
fof(f1693,plain,
coll(sK6,sK10,sK8),
inference(unit_resulting_resolution,[],[f1189,f390]) ).
fof(f1189,plain,
coll(sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f710,f689,f409]) ).
fof(f689,plain,
coll(sK10,sK10,sK6),
inference(unit_resulting_resolution,[],[f557,f557,f409]) ).
fof(f557,plain,
coll(sK6,sK4,sK10),
inference(unit_resulting_resolution,[],[f523,f390]) ).
fof(f602,plain,
~ para(sK12,sK5,sK11,sK6),
inference(unit_resulting_resolution,[],[f386,f403]) ).
fof(f403,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(f386,plain,
~ para(sK11,sK6,sK12,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1576,plain,
coll(sK8,sK12,sK11),
inference(unit_resulting_resolution,[],[f1014,f391]) ).
fof(f1014,plain,
coll(sK12,sK8,sK11),
inference(unit_resulting_resolution,[],[f805,f390]) ).
fof(f805,plain,
coll(sK12,sK11,sK8),
inference(unit_resulting_resolution,[],[f703,f707,f409]) ).
fof(f485347,plain,
para(sK12,sK8,sK9,sK11),
inference(unit_resulting_resolution,[],[f170619,f288526,f472]) ).
fof(f288526,plain,
perp(sK12,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f30902,f102211,f102214,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| perp(X2,X0,X0,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD57) ).
fof(f102214,plain,
cong(sK8,sK12,sK8,sK12),
inference(unit_resulting_resolution,[],[f28024,f32517,f26256,f16404,f468]) ).
fof(f32517,plain,
cyclic(sK8,sK12,sK10,sK12),
inference(unit_resulting_resolution,[],[f26589,f28715,f443]) ).
fof(f28715,plain,
cyclic(sK10,sK8,sK12,sK12),
inference(unit_resulting_resolution,[],[f27154,f27154,f443]) ).
fof(f27154,plain,
cyclic(sK10,sK10,sK8,sK12),
inference(unit_resulting_resolution,[],[f26544,f26588,f443]) ).
fof(f28024,plain,
cyclic(sK8,sK12,sK10,sK8),
inference(unit_resulting_resolution,[],[f26589,f26840,f443]) ).
fof(f26840,plain,
cyclic(sK10,sK8,sK12,sK8),
inference(unit_resulting_resolution,[],[f26283,f400]) ).
fof(f102211,plain,
cong(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f27885,f26719,f26253,f16404,f468]) ).
fof(f26253,plain,
cyclic(sK8,sK9,sK10,sK10),
inference(unit_resulting_resolution,[],[f1503,f16404,f417]) ).
fof(f1503,plain,
coll(sK10,sK10,sK9),
inference(unit_resulting_resolution,[],[f971,f971,f409]) ).
fof(f971,plain,
coll(sK9,sK4,sK10),
inference(unit_resulting_resolution,[],[f773,f390]) ).
fof(f773,plain,
coll(sK9,sK10,sK4),
inference(unit_resulting_resolution,[],[f692,f694,f409]) ).
fof(f26719,plain,
cyclic(sK8,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f26245,f400]) ).
fof(f26245,plain,
cyclic(sK8,sK10,sK9,sK9),
inference(unit_resulting_resolution,[],[f1490,f16387,f417]) ).
fof(f1490,plain,
coll(sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f964,f964,f409]) ).
fof(f964,plain,
coll(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f771,f390]) ).
fof(f771,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f692,f694,f409]) ).
fof(f27885,plain,
cyclic(sK8,sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f26763,f398]) ).
fof(f26763,plain,
cyclic(sK9,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f26272,f400]) ).
fof(f26272,plain,
cyclic(sK9,sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f711,f16467,f417]) ).
fof(f711,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f527,f527,f409]) ).
fof(f527,plain,
coll(sK10,sK12,sK8),
inference(unit_resulting_resolution,[],[f507,f391]) ).
fof(f30902,plain,
cyclic(sK8,sK8,sK12,sK9),
inference(unit_resulting_resolution,[],[f26446,f27943,f443]) ).
fof(f27943,plain,
cyclic(sK9,sK8,sK8,sK12),
inference(unit_resulting_resolution,[],[f26785,f399]) ).
fof(f26785,plain,
cyclic(sK9,sK8,sK12,sK8),
inference(unit_resulting_resolution,[],[f26274,f400]) ).
fof(f26274,plain,
cyclic(sK9,sK12,sK8,sK8),
inference(unit_resulting_resolution,[],[f707,f16467,f417]) ).
fof(f170619,plain,
perp(sK8,sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f102219,f27017,f102222,f413]) ).
fof(f102222,plain,
cong(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f27032,f28396,f26273,f16467,f468]) ).
fof(f26273,plain,
cyclic(sK9,sK11,sK8,sK8),
inference(unit_resulting_resolution,[],[f703,f16467,f417]) ).
fof(f28396,plain,
cyclic(sK9,sK11,sK8,sK11),
inference(unit_resulting_resolution,[],[f27013,f27019,f443]) ).
fof(f27019,plain,
cyclic(sK9,sK9,sK11,sK11),
inference(unit_resulting_resolution,[],[f26489,f26489,f443]) ).
fof(f26489,plain,
cyclic(sK8,sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f26334,f399]) ).
fof(f26334,plain,
cyclic(sK8,sK9,sK11,sK9),
inference(unit_resulting_resolution,[],[f26246,f400]) ).
fof(f26246,plain,
cyclic(sK8,sK11,sK9,sK9),
inference(unit_resulting_resolution,[],[f698,f16387,f417]) ).
fof(f698,plain,
coll(sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f383,f383,f409]) ).
fof(f27013,plain,
cyclic(sK9,sK9,sK11,sK8),
inference(unit_resulting_resolution,[],[f26445,f26489,f443]) ).
fof(f26445,plain,
cyclic(sK8,sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f26312,f399]) ).
fof(f27032,plain,
cyclic(sK9,sK11,sK8,sK9),
inference(unit_resulting_resolution,[],[f26490,f400]) ).
fof(f26490,plain,
cyclic(sK9,sK8,sK11,sK9),
inference(unit_resulting_resolution,[],[f26334,f398]) ).
fof(f27017,plain,
cyclic(sK9,sK9,sK8,sK11),
inference(unit_resulting_resolution,[],[f26445,f26489,f443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 05:41:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3830)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3833)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3834)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3831)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3835)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)
% 0.14/0.38 % (3833)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)
% 0.14/0.38 % (3836)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)
% 0.14/0.38 % (3837)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)
% 0.14/0.38 % (3832)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.47 TRYING [1]
% 0.21/0.50 TRYING [2]
% 3.47/0.87 TRYING [1]
% 3.47/0.87 TRYING [2]
% 3.67/0.91 TRYING [3]
% 5.13/1.11 TRYING [3]
% 46.63/7.04 % (3837)First to succeed.
% 47.08/7.08 % (3837)Refutation found. Thanks to Tanya!
% 47.08/7.08 % SZS status Theorem for theBenchmark
% 47.08/7.08 % SZS output start Proof for theBenchmark
% See solution above
% 47.08/7.08 % (3837)------------------------------
% 47.08/7.08 % (3837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 47.08/7.08 % (3837)Termination reason: Refutation
% 47.08/7.08
% 47.08/7.08 % (3837)Memory used [KB]: 221516
% 47.08/7.08 % (3837)Time elapsed: 6.668 s
% 47.08/7.08 % (3837)Instructions burned: 22731 (million)
% 47.08/7.08 % (3837)------------------------------
% 47.08/7.08 % (3837)------------------------------
% 47.08/7.08 % (3830)Success in time 6.633 s
%------------------------------------------------------------------------------