TSTP Solution File: GEO647+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO647+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 05:41:29 EDT 2024
% Result : Theorem 1.58s 0.59s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 186 ( 97 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 281 ( 102 ~; 89 |; 57 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 378 ( 357 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23443,plain,
$false,
inference(subsumption_resolution,[],[f23428,f22947]) ).
fof(f22947,plain,
~ midp(sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f5117,f13477,f608,f432]) ).
fof(f432,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/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f608,plain,
para(sK4,sK9,sK7,sK10),
inference(unit_resulting_resolution,[],[f379,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f379,plain,
para(sK4,sK9,sK10,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK6,sK8,sK10,sK5)
& para(sK4,sK6,sK10,sK9)
& para(sK4,sK9,sK10,sK7)
& midp(sK9,sK6,sK5)
& midp(sK8,sK5,sK4)
& midp(sK7,sK4,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X2,X4,X6,X1)
& para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> ( ~ para(sK6,sK8,sK10,sK5)
& para(sK4,sK6,sK10,sK9)
& para(sK4,sK9,sK10,sK7)
& midp(sK9,sK6,sK5)
& midp(sK8,sK5,sK4)
& midp(sK7,sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X2,X4,X6,X1)
& para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X2,X4,X6,X1)
& para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X6,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12] :
( ( para(X0,X2,X12,X5)
& para(X0,X5,X12,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X12,X1) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12] :
( ( para(X0,X2,X12,X5)
& para(X0,X5,X12,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
fof(f13477,plain,
coll(sK9,sK8,sK10),
inference(unit_resulting_resolution,[],[f10752,f10803,f404]) ).
fof(f404,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/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f10803,plain,
coll(sK10,sK9,sK8),
inference(unit_resulting_resolution,[],[f10751,f385]) ).
fof(f385,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/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f10751,plain,
coll(sK10,sK8,sK9),
inference(unit_resulting_resolution,[],[f2053,f10729,f404]) ).
fof(f10729,plain,
coll(sK9,sK7,sK10),
inference(unit_resulting_resolution,[],[f10064,f387]) ).
fof(f387,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/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f10064,plain,
para(sK9,sK7,sK9,sK10),
inference(unit_resulting_resolution,[],[f8955,f9681,f464]) ).
fof(f464,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,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f9681,plain,
perp(sK4,sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f9143,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,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/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9143,plain,
perp(sK9,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f644,f6575,f465]) ).
fof(f465,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/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f6575,plain,
perp(sK6,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f512,f6551,f405]) ).
fof(f405,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/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f6551,plain,
circle(sK7,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f596,f596,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,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/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f596,plain,
cong(sK7,sK6,sK7,sK4),
inference(unit_resulting_resolution,[],[f499,f384]) ).
fof(f384,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/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f499,plain,
midp(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f376,f382]) ).
fof(f382,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/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f376,plain,
midp(sK7,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f512,plain,
coll(sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f499,f383]) ).
fof(f383,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/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f644,plain,
para(sK9,sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f622,f399]) ).
fof(f622,plain,
para(sK9,sK10,sK4,sK6),
inference(unit_resulting_resolution,[],[f609,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f609,plain,
para(sK4,sK6,sK9,sK10),
inference(unit_resulting_resolution,[],[f380,f399]) ).
fof(f380,plain,
para(sK4,sK6,sK10,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f8955,plain,
perp(sK9,sK7,sK4,sK4),
inference(unit_resulting_resolution,[],[f5723,f6567,f465]) ).
fof(f6567,plain,
perp(sK5,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f513,f6552,f405]) ).
fof(f6552,plain,
circle(sK8,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f597,f597,f408]) ).
fof(f597,plain,
cong(sK8,sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f377,f384]) ).
fof(f377,plain,
midp(sK8,sK5,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f513,plain,
coll(sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f383]) ).
fof(f5723,plain,
para(sK9,sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f378,f499,f431]) ).
fof(f431,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/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f378,plain,
midp(sK9,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f2053,plain,
coll(sK9,sK7,sK8),
inference(unit_resulting_resolution,[],[f1062,f1463,f404]) ).
fof(f1463,plain,
coll(sK8,sK5,sK7),
inference(unit_resulting_resolution,[],[f1025,f1032,f404]) ).
fof(f1032,plain,
coll(sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f876,f385]) ).
fof(f876,plain,
coll(sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f797,f804,f404]) ).
fof(f804,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f512,f512,f404]) ).
fof(f797,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f537,f537,f404]) ).
fof(f537,plain,
coll(sK5,sK8,sK4),
inference(unit_resulting_resolution,[],[f513,f386]) ).
fof(f386,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/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f1025,plain,
coll(sK7,sK4,sK8),
inference(unit_resulting_resolution,[],[f875,f385]) ).
fof(f875,plain,
coll(sK7,sK8,sK4),
inference(unit_resulting_resolution,[],[f805,f804,f404]) ).
fof(f805,plain,
coll(sK4,sK4,sK8),
inference(unit_resulting_resolution,[],[f513,f513,f404]) ).
fof(f1062,plain,
coll(sK8,sK5,sK9),
inference(unit_resulting_resolution,[],[f886,f385]) ).
fof(f886,plain,
coll(sK8,sK9,sK5),
inference(unit_resulting_resolution,[],[f807,f806,f404]) ).
fof(f806,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f514,f514,f404]) ).
fof(f514,plain,
coll(sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f500,f383]) ).
fof(f500,plain,
midp(sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f377,f382]) ).
fof(f807,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f515,f515,f404]) ).
fof(f515,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f383]) ).
fof(f10752,plain,
coll(sK10,sK9,sK9),
inference(unit_resulting_resolution,[],[f1605,f10729,f404]) ).
fof(f1605,plain,
coll(sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f978,f1099,f404]) ).
fof(f1099,plain,
coll(sK9,sK6,sK7),
inference(unit_resulting_resolution,[],[f897,f385]) ).
fof(f897,plain,
coll(sK9,sK7,sK6),
inference(unit_resulting_resolution,[],[f803,f808,f404]) ).
fof(f808,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f516,f516,f404]) ).
fof(f516,plain,
coll(sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f501,f383]) ).
fof(f501,plain,
midp(sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f378,f382]) ).
fof(f803,plain,
coll(sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f511,f511,f404]) ).
fof(f511,plain,
coll(sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f376,f383]) ).
fof(f978,plain,
coll(sK9,sK6,sK9),
inference(unit_resulting_resolution,[],[f800,f385]) ).
fof(f800,plain,
coll(sK9,sK9,sK6),
inference(unit_resulting_resolution,[],[f556,f556,f404]) ).
fof(f556,plain,
coll(sK6,sK5,sK9),
inference(unit_resulting_resolution,[],[f539,f385]) ).
fof(f539,plain,
coll(sK6,sK9,sK5),
inference(unit_resulting_resolution,[],[f515,f386]) ).
fof(f5117,plain,
~ midp(sK9,sK8,sK10),
inference(unit_resulting_resolution,[],[f647,f378,f430]) ).
fof(f430,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/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f647,plain,
~ para(sK8,sK6,sK10,sK5),
inference(unit_resulting_resolution,[],[f628,f400]) ).
fof(f628,plain,
~ para(sK10,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f617,f399]) ).
fof(f617,plain,
~ para(sK10,sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f381,f400]) ).
fof(f381,plain,
~ para(sK6,sK8,sK10,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f23428,plain,
midp(sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f1475,f8205,f22950,f432]) ).
fof(f22950,plain,
midp(sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f6738,f1550,f5783,f432]) ).
fof(f5783,plain,
para(sK4,sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f5731,f400]) ).
fof(f5731,plain,
para(sK8,sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f377,f501,f431]) ).
fof(f1550,plain,
coll(sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f516,f1076,f404]) ).
fof(f1076,plain,
coll(sK9,sK5,sK8),
inference(unit_resulting_resolution,[],[f889,f385]) ).
fof(f889,plain,
coll(sK9,sK8,sK5),
inference(unit_resulting_resolution,[],[f807,f806,f404]) ).
fof(f6738,plain,
midp(sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f1321,f6667,f389]) ).
fof(f389,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/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f6667,plain,
cong(sK4,sK8,sK4,sK8),
inference(unit_resulting_resolution,[],[f500,f6633,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f6633,plain,
perp(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f6594,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,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/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f6594,plain,
perp(sK4,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f6567,f397]) ).
fof(f1321,plain,
coll(sK4,sK8,sK8),
inference(unit_resulting_resolution,[],[f513,f958,f404]) ).
fof(f958,plain,
coll(sK8,sK5,sK8),
inference(unit_resulting_resolution,[],[f795,f385]) ).
fof(f795,plain,
coll(sK8,sK8,sK5),
inference(unit_resulting_resolution,[],[f552,f552,f404]) ).
fof(f552,plain,
coll(sK5,sK4,sK8),
inference(unit_resulting_resolution,[],[f537,f385]) ).
fof(f8205,plain,
para(sK6,sK4,sK9,sK7),
inference(unit_resulting_resolution,[],[f6659,f7000,f464]) ).
fof(f7000,plain,
perp(sK6,sK6,sK9,sK7),
inference(unit_resulting_resolution,[],[f6695,f6660,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,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/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f6660,plain,
cong(sK6,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f499,f6628,f407]) ).
fof(f6628,plain,
perp(sK6,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f6587,f398]) ).
fof(f6587,plain,
perp(sK6,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f6563,f397]) ).
fof(f6563,plain,
perp(sK4,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f511,f6550,f405]) ).
fof(f6550,plain,
circle(sK7,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f595,f595,f408]) ).
fof(f595,plain,
cong(sK7,sK4,sK7,sK6),
inference(unit_resulting_resolution,[],[f376,f384]) ).
fof(f6695,plain,
cong(sK6,sK9,sK6,sK9),
inference(unit_resulting_resolution,[],[f378,f6653,f407]) ).
fof(f6653,plain,
perp(sK6,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f6622,f398]) ).
fof(f6622,plain,
perp(sK6,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f6583,f397]) ).
fof(f6583,plain,
perp(sK5,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f516,f6555,f405]) ).
fof(f6555,plain,
circle(sK9,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f600,f600,f408]) ).
fof(f600,plain,
cong(sK9,sK5,sK9,sK6),
inference(unit_resulting_resolution,[],[f501,f384]) ).
fof(f6659,plain,
perp(sK6,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f6628,f397]) ).
fof(f1475,plain,
coll(sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f1039,f386]) ).
fof(f1039,plain,
coll(sK8,sK4,sK7),
inference(unit_resulting_resolution,[],[f878,f385]) ).
fof(f878,plain,
coll(sK8,sK7,sK4),
inference(unit_resulting_resolution,[],[f805,f804,f404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO647+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 22:04:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (25923)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (25926)WARNING: value z3 for option sas not known
% 0.12/0.36 % (25928)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)
% 0.12/0.36 % (25925)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (25930)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)
% 0.12/0.36 % (25926)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)
% 0.12/0.36 % (25929)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)
% 0.12/0.36 % (25927)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (25924)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.43 TRYING [3]
% 0.18/0.45 TRYING [1]
% 0.18/0.47 TRYING [2]
% 1.58/0.59 % (25930)First to succeed.
% 1.58/0.59 % (25930)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25923"
% 1.58/0.59 % (25930)Refutation found. Thanks to Tanya!
% 1.58/0.59 % SZS status Theorem for theBenchmark
% 1.58/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.60 % (25930)------------------------------
% 1.58/0.60 % (25930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/0.60 % (25930)Termination reason: Refutation
% 1.58/0.60
% 1.58/0.60 % (25930)Memory used [KB]: 3050
% 1.58/0.60 % (25930)Time elapsed: 0.231 s
% 1.58/0.60 % (25930)Instructions burned: 501 (million)
% 1.58/0.60 % (25923)Success in time 0.249 s
%------------------------------------------------------------------------------