TSTP Solution File: GEO614+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO614+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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:34:01 EDT 2024
% Result : Theorem 184.52s 26.72s
% Output : Refutation 184.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 232 ( 107 unt; 0 def)
% Number of atoms : 514 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 430 ( 148 ~; 134 |; 101 &)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 581 ( 547 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1312165,plain,
$false,
inference(subsumption_resolution,[],[f1312109,f19886]) ).
fof(f19886,plain,
~ perp(sK8,sK8,sK10,sK12),
inference(unit_resulting_resolution,[],[f16426,f18131,f471]) ).
fof(f471,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(f18131,plain,
~ para(sK8,sK8,sK10,sK12),
inference(unit_resulting_resolution,[],[f17838,f18037,f468]) ).
fof(f468,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(f18037,plain,
para(sK4,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f16347,f18019,f435]) ).
fof(f435,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(f18019,plain,
midp(sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f2132,f17974,f393]) ).
fof(f393,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(f17974,plain,
cong(sK4,sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f16347,f17912,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f17912,plain,
perp(sK4,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f17602,f406]) ).
fof(f406,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(f17602,plain,
perp(sK8,sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f16481,f14743,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f14743,plain,
perp(sK6,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f14734,f406]) ).
fof(f14734,plain,
perp(sK4,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f14729,f405]) ).
fof(f405,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(f14729,plain,
perp(sK4,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f2592,f409]) ).
fof(f409,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(f2592,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f1512,f1683,f408]) ).
fof(f408,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(f1683,plain,
coll(sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f1014,f1235,f408]) ).
fof(f1235,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f915,f389]) ).
fof(f389,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(f915,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f739,f745,f408]) ).
fof(f745,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f527,f527,f408]) ).
fof(f527,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f507,f390]) ).
fof(f390,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(f507,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f377,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f377,plain,
midp(sK8,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK9,sK10,sK10,sK12)
& circle(sK12,sK10,sK8,sK11)
& coll(sK11,sK7,sK8)
& perp(sK11,sK4,sK7,sK8)
& coll(sK10,sK4,sK5)
& perp(sK10,sK9,sK4,sK5)
& circle(sK7,sK4,sK9,sK13)
& coll(sK9,sK7,sK8)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK9,sK10,sK10,sK12)
& circle(sK12,sK10,sK8,sK11)
& coll(sK11,sK7,sK8)
& perp(sK11,sK4,sK7,sK8)
& coll(sK10,sK4,sK5)
& perp(sK10,sK9,sK4,sK5)
& circle(sK7,sK4,sK9,sK13)
& coll(sK9,sK7,sK8)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X5,X6,X6,X8) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
fof(f739,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f531,f531,f408]) ).
fof(f531,plain,
coll(sK4,sK10,sK5),
inference(unit_resulting_resolution,[],[f381,f390]) ).
fof(f381,plain,
coll(sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1014,plain,
coll(sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f838,f389]) ).
fof(f838,plain,
coll(sK4,sK8,sK5),
inference(unit_resulting_resolution,[],[f739,f754,f408]) ).
fof(f754,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f507,f507,f408]) ).
fof(f1512,plain,
coll(sK6,sK8,sK7),
inference(unit_resulting_resolution,[],[f1148,f389]) ).
fof(f1148,plain,
coll(sK6,sK7,sK8),
inference(unit_resulting_resolution,[],[f748,f746,f408]) ).
fof(f746,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f556,f556,f408]) ).
fof(f556,plain,
coll(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f527,f389]) ).
fof(f748,plain,
coll(sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f533,f533,f408]) ).
fof(f533,plain,
coll(sK7,sK11,sK8),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f383,plain,
coll(sK11,sK7,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f16481,plain,
para(sK8,sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f16386,f402]) ).
fof(f402,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(f16386,plain,
para(sK6,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f16347,f16375,f435]) ).
fof(f16375,plain,
midp(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f1149,f16332,f393]) ).
fof(f16332,plain,
cong(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f377,f16319,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f16319,plain,
perp(sK6,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f16306,f405]) ).
fof(f16306,plain,
perp(sK6,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f16296,f406]) ).
fof(f16296,plain,
perp(sK5,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f508,f16288,f409]) ).
fof(f16288,plain,
circle(sK8,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f608,f608,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f608,plain,
cong(sK8,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f503,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f503,plain,
midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f386]) ).
fof(f386,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(f508,plain,
coll(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f503,f387]) ).
fof(f1149,plain,
coll(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f871,f746,f408]) ).
fof(f871,plain,
coll(sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f794,f794,f408]) ).
fof(f794,plain,
coll(sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f761,f389]) ).
fof(f761,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f378,f378,f408]) ).
fof(f378,plain,
coll(sK9,sK7,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f2132,plain,
coll(sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f871,f1354,f408]) ).
fof(f1354,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f1014,f1014,f408]) ).
fof(f16347,plain,
midp(sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f1471,f16325,f393]) ).
fof(f16325,plain,
cong(sK5,sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f503,f16314,f414]) ).
fof(f16314,plain,
perp(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f16299,f405]) ).
fof(f16299,plain,
perp(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f16292,f406]) ).
fof(f16292,plain,
perp(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f507,f16287,f409]) ).
fof(f16287,plain,
circle(sK8,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f607,f607,f411]) ).
fof(f607,plain,
cong(sK8,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f377,f388]) ).
fof(f1471,plain,
coll(sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f871,f742,f408]) ).
fof(f742,plain,
coll(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f584,f584,f408]) ).
fof(f584,plain,
coll(sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f528,f389]) ).
fof(f528,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f508,f390]) ).
fof(f17838,plain,
~ para(sK4,sK5,sK10,sK12),
inference(unit_resulting_resolution,[],[f17537,f402]) ).
fof(f17537,plain,
~ para(sK10,sK12,sK4,sK5),
inference(unit_resulting_resolution,[],[f664,f655,f469]) ).
fof(f655,plain,
perp(sK4,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f380,f406]) ).
fof(f380,plain,
perp(sK10,sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f664,plain,
~ perp(sK10,sK12,sK10,sK9),
inference(unit_resulting_resolution,[],[f653,f405]) ).
fof(f653,plain,
~ perp(sK10,sK12,sK9,sK10),
inference(unit_resulting_resolution,[],[f385,f406]) ).
fof(f385,plain,
~ perp(sK9,sK10,sK10,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f16426,plain,
perp(sK8,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f1471,f16345,f409]) ).
fof(f16345,plain,
circle(sK5,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f16325,f16325,f411]) ).
fof(f1312109,plain,
perp(sK8,sK8,sK10,sK12),
inference(unit_resulting_resolution,[],[f325827,f330021,f413]) ).
fof(f413,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(f330021,plain,
cong(sK8,sK12,sK8,sK12),
inference(unit_resulting_resolution,[],[f326070,f388]) ).
fof(f326070,plain,
midp(sK8,sK12,sK12),
inference(unit_resulting_resolution,[],[f21616,f21616,f325933,f437]) ).
fof(f437,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(f325933,plain,
midp(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f1491,f325827,f393]) ).
fof(f1491,plain,
coll(sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f1007,f1134,f408]) ).
fof(f1134,plain,
coll(sK10,sK5,sK10),
inference(unit_resulting_resolution,[],[f741,f389]) ).
fof(f741,plain,
coll(sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f564,f564,f408]) ).
fof(f564,plain,
coll(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f532,f389]) ).
fof(f532,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f514,f390]) ).
fof(f514,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f1007,plain,
coll(sK10,sK5,sK8),
inference(unit_resulting_resolution,[],[f837,f389]) ).
fof(f837,plain,
coll(sK10,sK8,sK5),
inference(unit_resulting_resolution,[],[f763,f754,f408]) ).
fof(f763,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f381,f381,f408]) ).
fof(f21616,plain,
para(sK10,sK12,sK10,sK12),
inference(unit_resulting_resolution,[],[f16153,f16117,f471]) ).
fof(f16117,plain,
perp(sK15(sK10,sK8,sK11,sK12),sK10,sK10,sK12),
inference(unit_resulting_resolution,[],[f384,f419]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK15(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK15(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK15(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(sK12,sK10,sK8,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f16153,plain,
perp(sK10,sK12,sK15(sK10,sK8,sK11,sK12),sK10),
inference(unit_resulting_resolution,[],[f16117,f406]) ).
fof(f325827,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f45882,f48657,f45882,f16442,f467]) ).
fof(f467,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(f16442,plain,
! [X0,X1] : eqangle(sK8,sK8,X0,X1,sK8,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f16357,f455]) ).
fof(f455,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(f16357,plain,
para(sK8,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f16347,f16347,f434]) ).
fof(f434,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(f48657,plain,
cyclic(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f47109,f47115,f442]) ).
fof(f442,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(f47115,plain,
cyclic(sK5,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f46345,f46345,f442]) ).
fof(f46345,plain,
cyclic(sK5,sK5,sK8,sK10),
inference(unit_resulting_resolution,[],[f46117,f46150,f442]) ).
fof(f46150,plain,
cyclic(sK6,sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f45995,f398]) ).
fof(f398,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(f45995,plain,
cyclic(sK6,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f45909,f399]) ).
fof(f399,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(f45909,plain,
cyclic(sK6,sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f763,f16140,f416]) ).
fof(f416,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(f16140,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f7810,f455]) ).
fof(f7810,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f5261,f401]) ).
fof(f401,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(f5261,plain,
para(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f503,f377,f434]) ).
fof(f46117,plain,
cyclic(sK6,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f45984,f398]) ).
fof(f45984,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f45907,f399]) ).
fof(f45907,plain,
cyclic(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f754,f16140,f416]) ).
fof(f47109,plain,
cyclic(sK5,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f46301,f46345,f442]) ).
fof(f46301,plain,
cyclic(sK5,sK5,sK8,sK8),
inference(unit_resulting_resolution,[],[f46117,f46117,f442]) ).
fof(f45882,plain,
cyclic(sK8,sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f1342,f16442,f416]) ).
fof(f1342,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f1007,f1007,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO614+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n012.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 : Fri May 3 22:03:38 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (24070)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (24073)WARNING: value z3 for option sas not known
% 0.15/0.33 % (24074)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (24071)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (24072)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (24076)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)
% 0.15/0.33 % (24075)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)
% 0.15/0.33 % (24073)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)
% 0.15/0.33 % (24077)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)
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [1]
% 0.15/0.43 TRYING [2]
% 5.16/1.06 TRYING [1]
% 5.16/1.06 TRYING [2]
% 5.44/1.12 TRYING [3]
% 8.16/1.48 TRYING [3]
% 89.71/13.19 TRYING [4]
% 118.69/17.28 TRYING [4]
% 183.56/26.65 % (24077)First to succeed.
% 184.27/26.66 % (24077)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24070"
% 184.52/26.72 % (24077)Refutation found. Thanks to Tanya!
% 184.52/26.72 % SZS status Theorem for theBenchmark
% 184.52/26.72 % SZS output start Proof for theBenchmark
% See solution above
% 184.52/26.72 % (24077)------------------------------
% 184.52/26.72 % (24077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 184.52/26.72 % (24077)Termination reason: Refutation
% 184.52/26.72
% 184.52/26.72 % (24077)Memory used [KB]: 602806
% 184.52/26.72 % (24077)Time elapsed: 26.325 s
% 184.52/26.72 % (24077)Instructions burned: 62497 (million)
% 184.52/26.72 % (24070)Success in time 26.387 s
%------------------------------------------------------------------------------