TSTP Solution File: GEO633+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO633+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 : n007.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 11:36:19 EDT 2024
% Result : Theorem 35.34s 5.42s
% Output : Refutation 35.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 35
% Syntax : Number of formulae : 345 ( 203 unt; 0 def)
% Number of atoms : 644 ( 0 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 465 ( 166 ~; 153 |; 95 &)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 653 ( 625 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257511,plain,
$false,
inference(subsumption_resolution,[],[f257484,f220766]) ).
fof(f220766,plain,
para(sK11,sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f203410,f210947,f434]) ).
fof(f434,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(f210947,plain,
midp(sK11,sK4,sK4),
inference(unit_resulting_resolution,[],[f1336,f74642,f205029,f435]) ).
fof(f435,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(f205029,plain,
midp(sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f1673,f76245,f203410,f435]) ).
fof(f76245,plain,
para(sK10,sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f380,f74099,f470]) ).
fof(f470,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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f74099,plain,
perp(sK4,sK5,sK5,sK6),
inference(subsumption_resolution,[],[f74098,f24729]) ).
fof(f24729,plain,
cong(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f24693,f387]) ).
fof(f387,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(f24693,plain,
midp(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f1297,f18666,f24334,f435]) ).
fof(f24334,plain,
midp(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f23956,f385]) ).
fof(f385,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(f23956,plain,
midp(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f1036,f18665,f23707,f435]) ).
fof(f23707,plain,
midp(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f970,f18703,f23537,f435]) ).
fof(f23537,plain,
midp(sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f23467,f385]) ).
fof(f23467,plain,
midp(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f16178,f772,f18704,f435]) ).
fof(f18704,plain,
para(sK5,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f16704,f16698,f470]) ).
fof(f16698,plain,
perp(sK7,sK13(sK7,sK7,sK7,sK5),sK7,sK5),
inference(unit_resulting_resolution,[],[f16675,f405]) ).
fof(f405,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/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f16675,plain,
perp(sK7,sK5,sK7,sK13(sK7,sK7,sK7,sK5)),
inference(unit_resulting_resolution,[],[f16645,f404]) ).
fof(f404,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/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f16645,plain,
perp(sK7,sK5,sK13(sK7,sK7,sK7,sK5),sK7),
inference(unit_resulting_resolution,[],[f16254,f405]) ).
fof(f16254,plain,
perp(sK13(sK7,sK7,sK7,sK5),sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f16176,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(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/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f16176,plain,
circle(sK5,sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f16144,f16144,f410]) ).
fof(f410,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/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f16144,plain,
cong(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f502,f16129,f413]) ).
fof(f413,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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f16129,plain,
perp(sK5,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f16114,f404]) ).
fof(f16114,plain,
perp(sK5,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f16107,f405]) ).
fof(f16107,plain,
perp(sK6,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f506,f16102,f408]) ).
fof(f408,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(f16102,plain,
circle(sK7,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f630,f630,f410]) ).
fof(f630,plain,
cong(sK7,sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f376,f387]) ).
fof(f376,plain,
midp(sK7,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK10,sK11,sK4,sK8)
& coll(sK11,sK4,sK6)
& perp(sK11,sK9,sK4,sK6)
& coll(sK10,sK4,sK5)
& perp(sK10,sK9,sK4,sK5)
& coll(sK9,sK4,sK7)
& coll(sK8,sK5,sK6)
& eqangle(sK8,sK4,sK4,sK5,sK6,sK4,sK4,sK7)
& midp(sK7,sK6,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> ( ~ perp(sK10,sK11,sK4,sK8)
& coll(sK11,sK4,sK6)
& perp(sK11,sK9,sK4,sK6)
& coll(sK10,sK4,sK5)
& perp(sK10,sK9,sK4,sK5)
& coll(sK9,sK4,sK7)
& coll(sK8,sK5,sK6)
& eqangle(sK8,sK4,sK4,sK5,sK6,sK4,sK4,sK7)
& midp(sK7,sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> perp(X6,X7,X0,X4) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X19,X16,X12,X13] :
( ( coll(X13,X0,X2)
& perp(X13,X16,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X16,X0,X1)
& coll(X16,X0,X18)
& coll(X19,X1,X2)
& eqangle(X19,X0,X0,X1,X2,X0,X0,X18)
& midp(X18,X2,X1) )
=> perp(X12,X13,X0,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X19,X16,X12,X13] :
( ( coll(X13,X0,X2)
& perp(X13,X16,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X16,X0,X1)
& coll(X16,X0,X18)
& coll(X19,X1,X2)
& eqangle(X19,X0,X0,X1,X2,X0,X0,X18)
& midp(X18,X2,X1) )
=> perp(X12,X13,X0,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(f506,plain,
coll(sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f376,f386]) ).
fof(f386,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(f502,plain,
midp(sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f385]) ).
fof(f16704,plain,
perp(sK5,sK7,sK7,sK13(sK7,sK7,sK7,sK5)),
inference(unit_resulting_resolution,[],[f16679,f404]) ).
fof(f16679,plain,
perp(sK5,sK7,sK13(sK7,sK7,sK7,sK5),sK7),
inference(unit_resulting_resolution,[],[f16646,f405]) ).
fof(f16646,plain,
perp(sK13(sK7,sK7,sK7,sK5),sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f16254,f404]) ).
fof(f772,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f603,f603,f407]) ).
fof(f407,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(f603,plain,
coll(sK5,sK6,sK7),
inference(unit_resulting_resolution,[],[f531,f388]) ).
fof(f388,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(f531,plain,
coll(sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f507,f389]) ).
fof(f389,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(f507,plain,
coll(sK7,sK5,sK6),
inference(unit_resulting_resolution,[],[f502,f386]) ).
fof(f16178,plain,
midp(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f1196,f16144,f392]) ).
fof(f392,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(f1196,plain,
coll(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f861,f899,f407]) ).
fof(f899,plain,
coll(sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f766,f786,f407]) ).
fof(f786,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f506,f506,f407]) ).
fof(f766,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f536,f536,f407]) ).
fof(f536,plain,
coll(sK4,sK10,sK5),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f381,plain,
coll(sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f861,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f765,f388]) ).
fof(f765,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f534,f534,f407]) ).
fof(f534,plain,
coll(sK4,sK9,sK7),
inference(unit_resulting_resolution,[],[f379,f389]) ).
fof(f379,plain,
coll(sK9,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f18703,plain,
para(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f16675,f16698,f470]) ).
fof(f970,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f843,f843,f407]) ).
fof(f843,plain,
coll(sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f792,f388]) ).
fof(f792,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f381,f381,f407]) ).
fof(f18665,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f699,f718,f470]) ).
fof(f718,plain,
perp(sK9,sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f699,f405]) ).
fof(f699,plain,
perp(sK5,sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f680,f404]) ).
fof(f680,plain,
perp(sK5,sK4,sK10,sK9),
inference(unit_resulting_resolution,[],[f667,f405]) ).
fof(f667,plain,
perp(sK10,sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f380,f404]) ).
fof(f1036,plain,
coll(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f775,f388]) ).
fof(f775,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f537,f537,f407]) ).
fof(f537,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f514,f389]) ).
fof(f514,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f381,f388]) ).
fof(f18666,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f689,f718,f470]) ).
fof(f689,plain,
perp(sK4,sK5,sK9,sK10),
inference(unit_resulting_resolution,[],[f678,f404]) ).
fof(f678,plain,
perp(sK4,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f380,f405]) ).
fof(f1297,plain,
coll(sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f536,f934,f407]) ).
fof(f934,plain,
coll(sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f793,f388]) ).
fof(f793,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f514,f514,f407]) ).
fof(f74098,plain,
( perp(sK4,sK5,sK5,sK6)
| ~ cong(sK5,sK4,sK5,sK4) ),
inference(subsumption_resolution,[],[f72514,f23984]) ).
fof(f23984,plain,
cong(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f16129,f23708,f413]) ).
fof(f23708,plain,
midp(sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f894,f18707,f23537,f435]) ).
fof(f18707,plain,
para(sK7,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f16689,f16772,f470]) ).
fof(f16772,plain,
perp(sK7,sK13(sK7,sK7,sK7,sK6),sK7,sK6),
inference(unit_resulting_resolution,[],[f16689,f405]) ).
fof(f16689,plain,
perp(sK7,sK6,sK7,sK13(sK7,sK7,sK7,sK6)),
inference(unit_resulting_resolution,[],[f16664,f404]) ).
fof(f16664,plain,
perp(sK7,sK6,sK13(sK7,sK7,sK7,sK6),sK7),
inference(unit_resulting_resolution,[],[f16276,f405]) ).
fof(f16276,plain,
perp(sK13(sK7,sK7,sK7,sK6),sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f16220,f418]) ).
fof(f16220,plain,
circle(sK6,sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f16161,f16161,f410]) ).
fof(f16161,plain,
cong(sK6,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f376,f16138,f413]) ).
fof(f16138,plain,
perp(sK6,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f16121,f404]) ).
fof(f16121,plain,
perp(sK6,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f16111,f405]) ).
fof(f16111,plain,
perp(sK5,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f507,f16103,f408]) ).
fof(f16103,plain,
circle(sK7,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f631,f631,f410]) ).
fof(f631,plain,
cong(sK7,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f502,f387]) ).
fof(f894,plain,
coll(sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f774,f388]) ).
fof(f774,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f532,f532,f407]) ).
fof(f532,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f378,f389]) ).
fof(f378,plain,
coll(sK8,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f72514,plain,
( perp(sK4,sK5,sK5,sK6)
| ~ cong(sK5,sK6,sK5,sK6)
| ~ cong(sK5,sK4,sK5,sK4) ),
inference(resolution,[],[f411,f37162]) ).
fof(f37162,plain,
cyclic(sK5,sK5,sK4,sK6),
inference(unit_resulting_resolution,[],[f34647,f34869,f441]) ).
fof(f441,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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f34869,plain,
cyclic(sK6,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f34071,f397]) ).
fof(f397,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/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f34071,plain,
cyclic(sK6,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f33873,f398]) ).
fof(f398,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/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f33873,plain,
cyclic(sK6,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f766,f16069,f415]) ).
fof(f415,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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f16069,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f7803,f454]) ).
fof(f454,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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f7803,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f5264,f400]) ).
fof(f400,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/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5264,plain,
para(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f502,f376,f433]) ).
fof(f433,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(f34647,plain,
cyclic(sK6,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f34016,f396]) ).
fof(f396,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/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f34016,plain,
cyclic(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f33847,f398]) ).
fof(f33847,plain,
cyclic(sK5,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f774,f16065,f415]) ).
fof(f16065,plain,
! [X0,X1] : eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f7807,f454]) ).
fof(f7807,plain,
para(sK6,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f5265,f400]) ).
fof(f5265,plain,
para(sK6,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f376,f502,f433]) ).
fof(f411,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/sandbox/benchmark/theBenchmark.p',ruleD57) ).
fof(f380,plain,
perp(sK10,sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f1673,plain,
coll(sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f1047,f388]) ).
fof(f1047,plain,
coll(sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f791,f776,f407]) ).
fof(f776,plain,
coll(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f539,f539,f407]) ).
fof(f539,plain,
coll(sK6,sK11,sK4),
inference(unit_resulting_resolution,[],[f515,f389]) ).
fof(f515,plain,
coll(sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f383,f388]) ).
fof(f383,plain,
coll(sK11,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f791,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f513,f513,f407]) ).
fof(f513,plain,
coll(sK9,sK7,sK4),
inference(unit_resulting_resolution,[],[f379,f388]) ).
fof(f74642,plain,
para(sK9,sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f712,f74189,f470]) ).
fof(f74189,plain,
perp(sK4,sK6,sK6,sK4),
inference(subsumption_resolution,[],[f73958,f24768]) ).
fof(f24768,plain,
cong(sK6,sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f24720,f387]) ).
fof(f24720,plain,
midp(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f1334,f18670,f24556,f435]) ).
fof(f24556,plain,
midp(sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f24158,f385]) ).
fof(f24158,plain,
midp(sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f1051,f18665,f23823,f435]) ).
fof(f23823,plain,
midp(sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f1066,f18703,f23577,f435]) ).
fof(f23577,plain,
midp(sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f23472,f385]) ).
fof(f23472,plain,
midp(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f16222,f779,f18708,f435]) ).
fof(f18708,plain,
para(sK6,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f16778,f16772,f470]) ).
fof(f16778,plain,
perp(sK6,sK7,sK7,sK13(sK7,sK7,sK7,sK6)),
inference(unit_resulting_resolution,[],[f16693,f404]) ).
fof(f16693,plain,
perp(sK6,sK7,sK13(sK7,sK7,sK7,sK6),sK7),
inference(unit_resulting_resolution,[],[f16665,f405]) ).
fof(f16665,plain,
perp(sK13(sK7,sK7,sK7,sK6),sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f16276,f404]) ).
fof(f779,plain,
coll(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f567,f567,f407]) ).
fof(f567,plain,
coll(sK6,sK5,sK7),
inference(unit_resulting_resolution,[],[f530,f388]) ).
fof(f530,plain,
coll(sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f506,f389]) ).
fof(f16222,plain,
midp(sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f1497,f16161,f392]) ).
fof(f1497,plain,
coll(sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f961,f779,f407]) ).
fof(f961,plain,
coll(sK7,sK7,sK7),
inference(unit_resulting_resolution,[],[f836,f836,f407]) ).
fof(f836,plain,
coll(sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f790,f388]) ).
fof(f790,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f379,f379,f407]) ).
fof(f1066,plain,
coll(sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f778,f388]) ).
fof(f778,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f533,f533,f407]) ).
fof(f533,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f512,f389]) ).
fof(f512,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f388]) ).
fof(f1051,plain,
coll(sK4,sK6,sK4),
inference(unit_resulting_resolution,[],[f776,f388]) ).
fof(f18670,plain,
para(sK4,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f693,f722,f470]) ).
fof(f722,plain,
perp(sK9,sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f703,f405]) ).
fof(f703,plain,
perp(sK6,sK4,sK9,sK11),
inference(unit_resulting_resolution,[],[f681,f404]) ).
fof(f681,plain,
perp(sK6,sK4,sK11,sK9),
inference(unit_resulting_resolution,[],[f668,f405]) ).
fof(f668,plain,
perp(sK11,sK9,sK6,sK4),
inference(unit_resulting_resolution,[],[f382,f404]) ).
fof(f382,plain,
perp(sK11,sK9,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f693,plain,
perp(sK4,sK6,sK9,sK11),
inference(unit_resulting_resolution,[],[f679,f404]) ).
fof(f679,plain,
perp(sK4,sK6,sK11,sK9),
inference(unit_resulting_resolution,[],[f382,f405]) ).
fof(f1334,plain,
coll(sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f538,f945,f407]) ).
fof(f945,plain,
coll(sK4,sK11,sK4),
inference(unit_resulting_resolution,[],[f795,f388]) ).
fof(f795,plain,
coll(sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f515,f515,f407]) ).
fof(f538,plain,
coll(sK4,sK11,sK6),
inference(unit_resulting_resolution,[],[f383,f389]) ).
fof(f73958,plain,
( perp(sK4,sK6,sK6,sK4)
| ~ cong(sK6,sK4,sK6,sK4) ),
inference(duplicate_literal_removal,[],[f72782]) ).
fof(f72782,plain,
( perp(sK4,sK6,sK6,sK4)
| ~ cong(sK6,sK4,sK6,sK4)
| ~ cong(sK6,sK4,sK6,sK4) ),
inference(resolution,[],[f411,f33866]) ).
fof(f33866,plain,
cyclic(sK6,sK6,sK4,sK4),
inference(unit_resulting_resolution,[],[f776,f19016,f415]) ).
fof(f19016,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f18668,f454]) ).
fof(f18668,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f693,f712,f470]) ).
fof(f712,plain,
perp(sK9,sK11,sK4,sK6),
inference(unit_resulting_resolution,[],[f693,f405]) ).
fof(f1336,plain,
coll(sK11,sK4,sK4),
inference(unit_resulting_resolution,[],[f945,f389]) ).
fof(f203410,plain,
midp(sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f381,f75045,f203307,f435]) ).
fof(f203307,plain,
midp(sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f1276,f172683,f392]) ).
fof(f172683,plain,
cong(sK9,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f36309,f44885,f33936,f18856,f466]) ).
fof(f466,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/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f18856,plain,
! [X0,X1] : eqangle(sK11,sK9,X0,X1,sK11,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f18252,f454]) ).
fof(f18252,plain,
para(sK11,sK9,sK11,sK9),
inference(unit_resulting_resolution,[],[f382,f679,f470]) ).
fof(f33936,plain,
cyclic(sK9,sK4,sK11,sK11),
inference(unit_resulting_resolution,[],[f763,f18856,f415]) ).
fof(f763,plain,
coll(sK11,sK11,sK4),
inference(unit_resulting_resolution,[],[f563,f563,f407]) ).
fof(f563,plain,
coll(sK4,sK6,sK11),
inference(unit_resulting_resolution,[],[f538,f388]) ).
fof(f44885,plain,
cyclic(sK9,sK4,sK11,sK4),
inference(unit_resulting_resolution,[],[f37575,f398]) ).
fof(f37575,plain,
cyclic(sK9,sK11,sK4,sK4),
inference(unit_resulting_resolution,[],[f35149,f35149,f441]) ).
fof(f35149,plain,
cyclic(sK11,sK9,sK11,sK4),
inference(unit_resulting_resolution,[],[f34215,f396]) ).
fof(f34215,plain,
cyclic(sK9,sK11,sK11,sK4),
inference(unit_resulting_resolution,[],[f33994,f397]) ).
fof(f33994,plain,
cyclic(sK9,sK11,sK4,sK11),
inference(unit_resulting_resolution,[],[f33936,f398]) ).
fof(f36309,plain,
cyclic(sK9,sK4,sK11,sK9),
inference(unit_resulting_resolution,[],[f34216,f34577,f441]) ).
fof(f34577,plain,
cyclic(sK11,sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f33954,f398]) ).
fof(f33954,plain,
cyclic(sK11,sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f764,f18954,f415]) ).
fof(f18954,plain,
! [X0,X1] : eqangle(sK9,sK11,X0,X1,sK9,sK11,X0,X1),
inference(unit_resulting_resolution,[],[f18255,f454]) ).
fof(f18255,plain,
para(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f712,f693,f470]) ).
fof(f764,plain,
coll(sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f555,f555,f407]) ).
fof(f555,plain,
coll(sK4,sK7,sK9),
inference(unit_resulting_resolution,[],[f534,f388]) ).
fof(f34216,plain,
cyclic(sK11,sK9,sK4,sK11),
inference(unit_resulting_resolution,[],[f33994,f396]) ).
fof(f1276,plain,
coll(sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f925,f389]) ).
fof(f925,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f791,f388]) ).
fof(f75045,plain,
para(sK9,sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f718,f74052,f470]) ).
fof(f74052,plain,
perp(sK5,sK4,sK4,sK5),
inference(subsumption_resolution,[],[f74047,f33182]) ).
fof(f33182,plain,
cong(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f24336,f24678,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f24678,plain,
cong(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f24334,f387]) ).
fof(f24336,plain,
cong(sK4,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f23956,f387]) ).
fof(f74047,plain,
( perp(sK5,sK4,sK4,sK5)
| ~ cong(sK4,sK5,sK4,sK5) ),
inference(duplicate_literal_removal,[],[f72241]) ).
fof(f72241,plain,
( perp(sK5,sK4,sK4,sK5)
| ~ cong(sK4,sK5,sK4,sK5)
| ~ cong(sK4,sK5,sK4,sK5) ),
inference(resolution,[],[f411,f33810]) ).
fof(f33810,plain,
cyclic(sK4,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f766,f19034,f415]) ).
fof(f19034,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f18665,f454]) ).
fof(f257484,plain,
~ para(sK11,sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f716,f257245,f468]) ).
fof(f468,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(f257245,plain,
perp(sK4,sK5,sK8,sK4),
inference(subsumption_resolution,[],[f257242,f74637]) ).
fof(f74637,plain,
perp(sK4,sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f24248,f74189,f468]) ).
fof(f24248,plain,
para(sK4,sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f23472,f23865,f434]) ).
fof(f23865,plain,
midp(sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f1098,f18665,f23618,f435]) ).
fof(f23618,plain,
midp(sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f23477,f385]) ).
fof(f23477,plain,
midp(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f16327,f786,f18705,f435]) ).
fof(f18705,plain,
para(sK7,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f16675,f16783,f470]) ).
fof(f16783,plain,
perp(sK7,sK13(sK7,sK7,sK7,sK5),sK5,sK7),
inference(unit_resulting_resolution,[],[f16698,f404]) ).
fof(f16327,plain,
midp(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f1226,f16281,f392]) ).
fof(f16281,plain,
cong(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f16244,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f16244,plain,
cong(sK7,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f16172,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f16172,plain,
cong(sK5,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f16144,f402]) ).
fof(f1226,plain,
coll(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f905,f389]) ).
fof(f905,plain,
coll(sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f786,f388]) ).
fof(f1098,plain,
coll(sK4,sK7,sK4),
inference(unit_resulting_resolution,[],[f787,f388]) ).
fof(f787,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f535,f535,f407]) ).
fof(f535,plain,
coll(sK7,sK9,sK4),
inference(unit_resulting_resolution,[],[f513,f389]) ).
fof(f257242,plain,
( ~ perp(sK4,sK7,sK6,sK4)
| perp(sK4,sK5,sK8,sK4) ),
inference(resolution,[],[f46823,f497]) ).
fof(f497,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f46823,plain,
eqangle(sK4,sK5,sK8,sK4,sK4,sK7,sK6,sK4),
inference(unit_resulting_resolution,[],[f377,f491]) ).
fof(f491,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f377,plain,
eqangle(sK8,sK4,sK4,sK5,sK6,sK4,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f716,plain,
~ perp(sK11,sK10,sK8,sK4),
inference(unit_resulting_resolution,[],[f697,f405]) ).
fof(f697,plain,
~ perp(sK8,sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f677,f404]) ).
fof(f677,plain,
~ perp(sK8,sK4,sK10,sK11),
inference(unit_resulting_resolution,[],[f666,f405]) ).
fof(f666,plain,
~ perp(sK10,sK11,sK8,sK4),
inference(unit_resulting_resolution,[],[f384,f404]) ).
fof(f384,plain,
~ perp(sK10,sK11,sK4,sK8),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO633+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:35:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15106)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15109)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15107)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15110)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15108)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (15109)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)
% 0.15/0.38 % (15111)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)
% 0.15/0.38 % (15112)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)
% 0.15/0.38 % (15113)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)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.47 TRYING [3]
% 0.21/0.49 TRYING [1]
% 1.34/0.55 TRYING [2]
% 3.46/0.91 TRYING [1]
% 3.46/0.91 TRYING [2]
% 4.07/0.98 TRYING [3]
% 7.04/1.37 TRYING [3]
% 34.88/5.40 % (15113)First to succeed.
% 35.34/5.42 % (15113)Refutation found. Thanks to Tanya!
% 35.34/5.42 % SZS status Theorem for theBenchmark
% 35.34/5.42 % SZS output start Proof for theBenchmark
% See solution above
% 35.34/5.42 % (15113)------------------------------
% 35.34/5.42 % (15113)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 35.34/5.42 % (15113)Termination reason: Refutation
% 35.34/5.42
% 35.34/5.42 % (15113)Memory used [KB]: 99905
% 35.34/5.42 % (15113)Time elapsed: 5.022 s
% 35.34/5.42 % (15113)Instructions burned: 11269 (million)
% 35.34/5.42 % (15113)------------------------------
% 35.34/5.42 % (15113)------------------------------
% 35.34/5.42 % (15106)Success in time 5.013 s
%------------------------------------------------------------------------------