TSTP Solution File: GEO582+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO582+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 : n017.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 11:24:46 EDT 2024
% Result : Theorem 56.50s 8.47s
% Output : Refutation 56.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 152 ( 67 unt; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 276 ( 98 ~; 83 |; 63 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 456 ( 432 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760844,plain,
$false,
inference(subsumption_resolution,[],[f733756,f567222]) ).
fof(f567222,plain,
para(sK10,sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f436583,f514964,f432]) ).
fof(f432,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(f514964,plain,
! [X0] : midp(X0,X0,sK9),
inference(unit_resulting_resolution,[],[f68714,f61959,f514810,f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f514810,plain,
! [X0] : midp(sK9,X0,X0),
inference(unit_resulting_resolution,[],[f68714,f435573,f390]) ).
fof(f390,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(f435573,plain,
! [X0] : cong(sK9,X0,sK9,X0),
inference(unit_resulting_resolution,[],[f408071,f408071,f408071,f2207,f464]) ).
fof(f464,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(f2207,plain,
! [X0,X1] : eqangle(sK4,sK9,X0,X1,sK4,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f1592,f452]) ).
fof(f452,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(f1592,plain,
para(sK4,sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f581,f596,f468]) ).
fof(f468,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(f596,plain,
perp(sK5,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f581,f403]) ).
fof(f403,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(f581,plain,
perp(sK4,sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f572,f402]) ).
fof(f402,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(f572,plain,
perp(sK4,sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f378,f403]) ).
fof(f378,plain,
perp(sK4,sK5,sK4,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK8,sK5,sK9,sK10)
& coll(sK10,sK4,sK5)
& perp(sK6,sK8,sK6,sK10)
& coll(sK9,sK6,sK8)
& perp(sK4,sK5,sK4,sK9)
& circle(sK7,sK4,sK8,sK11)
& circle(sK7,sK4,sK5,sK6) ),
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] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK8,sK5,sK9,sK10)
& coll(sK10,sK4,sK5)
& perp(sK6,sK8,sK6,sK10)
& coll(sK9,sK6,sK8)
& perp(sK4,sK5,sK4,sK9)
& circle(sK7,sK4,sK8,sK11)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X6,X0,X1)
& perp(X2,X4,X2,X6)
& coll(X5,X2,X4)
& perp(X0,X1,X0,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> para(X4,X1,X5,X6) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X18,X19,X20] :
( ( coll(X19,X0,X1)
& perp(X2,X3,X2,X19)
& coll(X18,X2,X3)
& perp(X0,X1,X0,X18)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X3,X1,X18,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X18,X19,X20] :
( ( coll(X19,X0,X1)
& perp(X2,X3,X2,X19)
& coll(X18,X2,X3)
& perp(X0,X1,X0,X18)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X3,X1,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
fof(f408071,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f404100,f404100,f439]) ).
fof(f439,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(f404100,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f274479,f274479,f439]) ).
fof(f274479,plain,
! [X0,X1] : cyclic(sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f272278,f272278,f439]) ).
fof(f272278,plain,
! [X0] : cyclic(sK4,sK5,sK4,X0),
inference(unit_resulting_resolution,[],[f271225,f395]) ).
fof(f395,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(f271225,plain,
! [X0] : cyclic(sK4,sK5,X0,sK4),
inference(unit_resulting_resolution,[],[f271107,f396]) ).
fof(f396,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(f271107,plain,
! [X0] : cyclic(sK4,X0,sK5,sK4),
inference(unit_resulting_resolution,[],[f186184,f394]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f186184,plain,
! [X0] : cyclic(X0,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f61942,f396]) ).
fof(f61942,plain,
! [X0] : cyclic(X0,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f638,f19595,f413]) ).
fof(f413,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(f19595,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK5,X0,X1,sK4,sK5),
inference(unit_resulting_resolution,[],[f1679,f489]) ).
fof(f489,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/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f1679,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f1624,f452]) ).
fof(f1624,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f564,f573,f468]) ).
fof(f573,plain,
perp(sK9,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f564,f403]) ).
fof(f564,plain,
perp(sK4,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f378,f402]) ).
fof(f638,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f511,f511,f405]) ).
fof(f405,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(f511,plain,
coll(sK5,sK10,sK4),
inference(unit_resulting_resolution,[],[f501,f387]) ).
fof(f387,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(f501,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f381,f386]) ).
fof(f386,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(f381,plain,
coll(sK10,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f61959,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f61931,f398]) ).
fof(f398,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(f61931,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f19595,f462]) ).
fof(f462,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f68714,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f62980,f62980,f405]) ).
fof(f62980,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f61958,f61958,f405]) ).
fof(f61958,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f61931,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f436583,plain,
midp(sK10,sK10,sK5),
inference(unit_resulting_resolution,[],[f68730,f61959,f436504,f433]) ).
fof(f436504,plain,
! [X0] : midp(sK5,X0,X0),
inference(unit_resulting_resolution,[],[f68714,f435065,f390]) ).
fof(f435065,plain,
! [X0] : cong(sK5,X0,sK5,X0),
inference(unit_resulting_resolution,[],[f408071,f408071,f408071,f1679,f464]) ).
fof(f68730,plain,
! [X0] : coll(sK10,X0,sK5),
inference(unit_resulting_resolution,[],[f646,f62980,f405]) ).
fof(f646,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f381,f381,f405]) ).
fof(f733756,plain,
~ para(sK10,sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f2622,f639008,f733525,f433]) ).
fof(f733525,plain,
! [X0] : midp(sK10,X0,X0),
inference(unit_resulting_resolution,[],[f68714,f435755,f390]) ).
fof(f435755,plain,
! [X0] : cong(sK10,X0,sK10,X0),
inference(unit_resulting_resolution,[],[f408071,f408071,f408071,f6199,f464]) ).
fof(f6199,plain,
! [X0,X1] : eqangle(sK6,sK10,X0,X1,sK6,sK10,X0,X1),
inference(unit_resulting_resolution,[],[f1620,f452]) ).
fof(f1620,plain,
para(sK6,sK10,sK6,sK10),
inference(unit_resulting_resolution,[],[f585,f600,f468]) ).
fof(f600,plain,
perp(sK8,sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f585,f403]) ).
fof(f585,plain,
perp(sK6,sK10,sK8,sK6),
inference(unit_resulting_resolution,[],[f574,f402]) ).
fof(f574,plain,
perp(sK6,sK10,sK6,sK8),
inference(unit_resulting_resolution,[],[f380,f403]) ).
fof(f380,plain,
perp(sK6,sK8,sK6,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f639008,plain,
~ midp(sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f61959,f68714,f617615,f433]) ).
fof(f617615,plain,
~ midp(sK5,sK9,sK10),
inference(unit_resulting_resolution,[],[f558,f617444,f432]) ).
fof(f617444,plain,
! [X0] : midp(sK8,X0,X0),
inference(unit_resulting_resolution,[],[f68714,f435665,f390]) ).
fof(f435665,plain,
! [X0] : cong(sK8,X0,sK8,X0),
inference(unit_resulting_resolution,[],[f408071,f408071,f408071,f1696,f464]) ).
fof(f1696,plain,
! [X0,X1] : eqangle(sK6,sK8,X0,X1,sK6,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f1628,f452]) ).
fof(f1628,plain,
para(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f565,f575,f468]) ).
fof(f575,plain,
perp(sK10,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f565,f403]) ).
fof(f565,plain,
perp(sK6,sK8,sK10,sK6),
inference(unit_resulting_resolution,[],[f380,f402]) ).
fof(f558,plain,
~ para(sK5,sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f555,f399]) ).
fof(f399,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(f555,plain,
~ para(sK10,sK9,sK5,sK8),
inference(unit_resulting_resolution,[],[f551,f398]) ).
fof(f551,plain,
~ para(sK10,sK9,sK8,sK5),
inference(unit_resulting_resolution,[],[f548,f399]) ).
fof(f548,plain,
~ para(sK8,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f382,f398]) ).
fof(f382,plain,
~ para(sK8,sK5,sK9,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f2622,plain,
coll(sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f529,f2352,f405]) ).
fof(f2352,plain,
coll(sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f2273,f386]) ).
fof(f2273,plain,
coll(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f638,f2231,f405]) ).
fof(f2231,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f2218,f2218,f405]) ).
fof(f2218,plain,
coll(sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f2202,f2202,f405]) ).
fof(f2202,plain,
coll(sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f1592,f388]) ).
fof(f529,plain,
coll(sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f511,f386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:15:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (30974)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (30975)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (30977)WARNING: value z3 for option sas not known
% 0.22/0.39 % (30976)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (30978)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (30979)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)
% 0.22/0.39 % (30980)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)
% 0.22/0.39 % (30977)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)
% 0.22/0.39 % (30981)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)
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.48 TRYING [3]
% 0.22/0.50 TRYING [1]
% 1.27/0.53 TRYING [2]
% 4.49/1.00 TRYING [1]
% 4.49/1.00 TRYING [2]
% 4.95/1.06 TRYING [3]
% 7.79/1.52 TRYING [3]
% 56.50/8.45 % (30981)First to succeed.
% 56.50/8.47 % (30981)Refutation found. Thanks to Tanya!
% 56.50/8.47 % SZS status Theorem for theBenchmark
% 56.50/8.47 % SZS output start Proof for theBenchmark
% See solution above
% 56.50/8.47 % (30981)------------------------------
% 56.50/8.47 % (30981)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 56.50/8.47 % (30981)Termination reason: Refutation
% 56.50/8.47
% 56.50/8.47 % (30981)Memory used [KB]: 62011
% 56.50/8.47 % (30981)Time elapsed: 8.053 s
% 56.50/8.47 % (30981)Instructions burned: 18159 (million)
% 56.50/8.47 % (30981)------------------------------
% 56.50/8.47 % (30981)------------------------------
% 56.50/8.47 % (30974)Success in time 8.103 s
%------------------------------------------------------------------------------