TSTP Solution File: GEO580+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO580+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 05:26:52 EDT 2024
% Result : Theorem 2.12s 0.67s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 121 ( 54 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 232 ( 69 ~; 54 |; 84 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 299 ( 275 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36069,plain,
$false,
inference(subsumption_resolution,[],[f36059,f34914]) ).
fof(f34914,plain,
~ cyclic(sK5,sK5,sK11,sK10),
inference(unit_resulting_resolution,[],[f24302,f27537,f443]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f27537,plain,
~ cyclic(sK5,sK11,sK9,sK10),
inference(unit_resulting_resolution,[],[f659,f25124,f443]) ).
fof(f25124,plain,
cyclic(sK5,sK11,sK9,sK8),
inference(unit_resulting_resolution,[],[f24168,f24302,f443]) ).
fof(f24168,plain,
cyclic(sK5,sK5,sK11,sK8),
inference(unit_resulting_resolution,[],[f23938,f23971,f443]) ).
fof(f23971,plain,
cyclic(sK6,sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f23849,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f23849,plain,
cyclic(sK6,sK5,sK11,sK5),
inference(unit_resulting_resolution,[],[f23775,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f23775,plain,
cyclic(sK6,sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f842,f3096,f417]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f3096,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f3011,f456]) ).
fof(f456,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f3011,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f3001,f402]) ).
fof(f402,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(f3001,plain,
para(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f504,f385,f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f385,plain,
midp(sK11,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cyclic(sK8,sK9,sK10,sK11)
& midp(sK11,sK6,sK5)
& coll(sK10,sK4,sK7)
& perp(sK10,sK6,sK4,sK7)
& coll(sK9,sK4,sK7)
& perp(sK9,sK5,sK4,sK7)
& coll(sK8,sK5,sK6)
& perp(sK8,sK4,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,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] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ cyclic(sK8,sK9,sK10,sK11)
& midp(sK11,sK6,sK5)
& coll(sK10,sK4,sK7)
& perp(sK10,sK6,sK4,sK7)
& coll(sK9,sK4,sK7)
& perp(sK9,sK5,sK4,sK7)
& coll(sK8,sK5,sK6)
& perp(sK8,sK4,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X7,X2,X1)
& coll(X6,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X6,X7) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( midp(X13,X2,X1)
& coll(X12,X0,X3)
& perp(X12,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X12,X13) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( midp(X13,X2,X1)
& coll(X12,X0,X3)
& perp(X12,X2,X0,X3)
& coll(X5,X0,X3)
& perp(X5,X1,X0,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cyclic(X4,X5,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
fof(f504,plain,
midp(sK11,sK5,sK6),
inference(unit_resulting_resolution,[],[f385,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f842,plain,
coll(sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f508,f508,f409]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f508,plain,
coll(sK11,sK6,sK5),
inference(unit_resulting_resolution,[],[f385,f388]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f23938,plain,
cyclic(sK6,sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f23838,f399]) ).
fof(f23838,plain,
cyclic(sK6,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f23772,f400]) ).
fof(f23772,plain,
cyclic(sK6,sK8,sK5,sK5),
inference(unit_resulting_resolution,[],[f837,f3096,f417]) ).
fof(f837,plain,
coll(sK5,sK5,sK8),
inference(unit_resulting_resolution,[],[f512,f512,f409]) ).
fof(f512,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f380,f390]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f380,plain,
coll(sK8,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f659,plain,
~ cyclic(sK11,sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f640,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f640,plain,
~ cyclic(sK9,sK11,sK10,sK8),
inference(unit_resulting_resolution,[],[f623,f399]) ).
fof(f623,plain,
~ cyclic(sK9,sK11,sK8,sK10),
inference(unit_resulting_resolution,[],[f615,f400]) ).
fof(f615,plain,
~ cyclic(sK9,sK8,sK11,sK10),
inference(unit_resulting_resolution,[],[f612,f399]) ).
fof(f612,plain,
~ cyclic(sK9,sK8,sK10,sK11),
inference(unit_resulting_resolution,[],[f386,f398]) ).
fof(f386,plain,
~ cyclic(sK8,sK9,sK10,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f24302,plain,
cyclic(sK5,sK5,sK11,sK9),
inference(unit_resulting_resolution,[],[f23971,f24081,f443]) ).
fof(f24081,plain,
cyclic(sK6,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f23904,f399]) ).
fof(f23904,plain,
cyclic(sK6,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f23773,f400]) ).
fof(f23773,plain,
cyclic(sK6,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f6355,f3096,f417]) ).
fof(f6355,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f6339,f6339,f409]) ).
fof(f6339,plain,
coll(sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f5817,f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f5817,plain,
para(sK9,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f717,f731,f472]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f731,plain,
perp(sK7,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f717,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f717,plain,
perp(sK9,sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f381,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f381,plain,
perp(sK9,sK5,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f36059,plain,
cyclic(sK5,sK5,sK11,sK10),
inference(unit_resulting_resolution,[],[f23971,f31124,f443]) ).
fof(f31124,plain,
cyclic(sK6,sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f26076,f399]) ).
fof(f26076,plain,
cyclic(sK6,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f23774,f400]) ).
fof(f23774,plain,
cyclic(sK6,sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f7224,f3096,f417]) ).
fof(f7224,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f6582,f6582,f409]) ).
fof(f6582,plain,
coll(sK10,sK9,sK5),
inference(unit_resulting_resolution,[],[f6439,f390]) ).
fof(f6439,plain,
coll(sK10,sK5,sK9),
inference(unit_resulting_resolution,[],[f1249,f6373,f409]) ).
fof(f6373,plain,
coll(sK9,sK9,sK5),
inference(unit_resulting_resolution,[],[f6355,f6355,f409]) ).
fof(f1249,plain,
coll(sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f971,f971,f409]) ).
fof(f971,plain,
coll(sK10,sK4,sK9),
inference(unit_resulting_resolution,[],[f815,f390]) ).
fof(f815,plain,
coll(sK10,sK9,sK4),
inference(unit_resulting_resolution,[],[f553,f549,f409]) ).
fof(f549,plain,
coll(sK4,sK7,sK9),
inference(unit_resulting_resolution,[],[f530,f390]) ).
fof(f530,plain,
coll(sK4,sK9,sK7),
inference(unit_resulting_resolution,[],[f382,f391]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f382,plain,
coll(sK9,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f553,plain,
coll(sK4,sK7,sK10),
inference(unit_resulting_resolution,[],[f532,f390]) ).
fof(f532,plain,
coll(sK4,sK10,sK7),
inference(unit_resulting_resolution,[],[f384,f391]) ).
fof(f384,plain,
coll(sK10,sK4,sK7),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri May 3 21:53:38 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % (27625)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (27629)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (27628)WARNING: value z3 for option sas not known
% 0.14/0.36 TRYING [1]
% 0.14/0.36 % (27626)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (27627)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (27630)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (27631)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (27632)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.36 % (27628)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 TRYING [2]
% 0.19/0.41 TRYING [3]
% 0.19/0.44 TRYING [1]
% 0.19/0.47 TRYING [2]
% 2.12/0.67 % (27632)First to succeed.
% 2.12/0.67 % (27632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27625"
% 2.12/0.67 % (27632)Refutation found. Thanks to Tanya!
% 2.12/0.67 % SZS status Theorem for theBenchmark
% 2.12/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.67 % (27632)------------------------------
% 2.12/0.67 % (27632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.12/0.67 % (27632)Termination reason: Refutation
% 2.12/0.67
% 2.12/0.67 % (27632)Memory used [KB]: 6935
% 2.12/0.67 % (27632)Time elapsed: 0.311 s
% 2.12/0.67 % (27632)Instructions burned: 964 (million)
% 2.12/0.67 % (27625)Success in time 0.325 s
%------------------------------------------------------------------------------