TSTP Solution File: GEO636+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO636+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 : n014.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 11:37:22 EDT 2024
% Result : Theorem 30.82s 4.82s
% Output : Refutation 30.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 164 ( 67 unt; 0 def)
% Number of atoms : 355 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 298 ( 107 ~; 96 |; 58 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 491 ( 470 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f499601,plain,
$false,
inference(subsumption_resolution,[],[f499558,f308301]) ).
fof(f308301,plain,
! [X0] : para(sK10,X0,sK9,X0),
inference(unit_resulting_resolution,[],[f301035,f307614,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(f307614,plain,
! [X0] : midp(X0,sK10,X0),
inference(unit_resulting_resolution,[],[f31985,f30023,f307554,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(f307554,plain,
midp(sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f909,f300678,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(f300678,plain,
cong(sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f6365,f6365,f6365,f6731,f463]) ).
fof(f463,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(f6731,plain,
eqangle(sK10,sK10,sK10,sK10,sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f6365,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f6365,plain,
cyclic(sK10,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f6299,f6299,f438]) ).
fof(f438,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(f6299,plain,
cyclic(sK4,sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f6273,f6273,f438]) ).
fof(f6273,plain,
cyclic(sK7,sK4,sK10,sK10),
inference(unit_resulting_resolution,[],[f650,f4779,f412]) ).
fof(f412,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(f4779,plain,
! [X0,X1] : eqangle(sK10,sK7,X0,X1,sK10,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f3252,f451]) ).
fof(f451,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(f3252,plain,
para(sK10,sK7,sK10,sK7),
inference(unit_resulting_resolution,[],[f379,f560,f467]) ).
fof(f467,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(f560,plain,
perp(sK4,sK6,sK10,sK7),
inference(unit_resulting_resolution,[],[f379,f402]) ).
fof(f402,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(f379,plain,
perp(sK10,sK7,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK4,sK8,sK10,sK9)
& coll(sK10,sK4,sK6)
& perp(sK10,sK7,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK7,sK4,sK5)
& eqangle(sK6,sK4,sK4,sK8,sK7,sK4,sK4,sK5) ),
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] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> ( ~ perp(sK4,sK8,sK10,sK9)
& coll(sK10,sK4,sK6)
& perp(sK10,sK7,sK4,sK6)
& coll(sK9,sK4,sK5)
& perp(sK9,sK7,sK4,sK5)
& eqangle(sK6,sK4,sK4,sK8,sK7,sK4,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> perp(X0,X4,X6,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X6,X16,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X6,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& eqangle(X2,X0,X0,X16,X6,X0,X0,X1) )
=> perp(X0,X16,X8,X9) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X6,X16,X9,X8] :
( ( coll(X8,X0,X2)
& perp(X8,X6,X0,X2)
& coll(X9,X0,X1)
& perp(X9,X6,X0,X1)
& eqangle(X2,X0,X0,X16,X6,X0,X0,X1) )
=> perp(X0,X16,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(f650,plain,
coll(sK10,sK10,sK4),
inference(unit_resulting_resolution,[],[f520,f520,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(f520,plain,
coll(sK4,sK6,sK10),
inference(unit_resulting_resolution,[],[f508,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(f508,plain,
coll(sK4,sK10,sK6),
inference(unit_resulting_resolution,[],[f380,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(f380,plain,
coll(sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f909,plain,
coll(sK10,sK10,sK10),
inference(unit_resulting_resolution,[],[f743,f743,f404]) ).
fof(f743,plain,
coll(sK10,sK4,sK10),
inference(unit_resulting_resolution,[],[f650,f385]) ).
fof(f30023,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f14828,f461]) ).
fof(f461,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/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f14828,plain,
! [X0,X1] : eqangle(X0,X1,sK9,sK7,X0,X1,sK9,sK7),
inference(unit_resulting_resolution,[],[f3295,f488]) ).
fof(f488,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(f3295,plain,
! [X0,X1] : eqangle(sK9,sK7,X0,X1,sK9,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f3248,f451]) ).
fof(f3248,plain,
para(sK9,sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f377,f559,f467]) ).
fof(f559,plain,
perp(sK4,sK5,sK9,sK7),
inference(unit_resulting_resolution,[],[f377,f402]) ).
fof(f377,plain,
perp(sK9,sK7,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f31985,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f30395,f30395,f404]) ).
fof(f30395,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f30038,f30038,f404]) ).
fof(f30038,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f30023,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(f301035,plain,
! [X0] : midp(X0,X0,sK9),
inference(unit_resulting_resolution,[],[f300922,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(f300922,plain,
! [X0] : midp(X0,sK9,X0),
inference(unit_resulting_resolution,[],[f31985,f30023,f300870,f432]) ).
fof(f300870,plain,
midp(sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f900,f298728,f389]) ).
fof(f298728,plain,
cong(sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f6332,f6332,f6332,f6674,f463]) ).
fof(f6674,plain,
eqangle(sK9,sK9,sK9,sK9,sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f6332,f396]) ).
fof(f6332,plain,
cyclic(sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f6288,f6288,f438]) ).
fof(f6288,plain,
cyclic(sK4,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f6267,f6267,f438]) ).
fof(f6267,plain,
cyclic(sK7,sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f648,f3295,f412]) ).
fof(f648,plain,
coll(sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f516,f516,f404]) ).
fof(f516,plain,
coll(sK4,sK5,sK9),
inference(unit_resulting_resolution,[],[f507,f385]) ).
fof(f507,plain,
coll(sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f378,f386]) ).
fof(f378,plain,
coll(sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f900,plain,
coll(sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f736,f736,f404]) ).
fof(f736,plain,
coll(sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f648,f385]) ).
fof(f499558,plain,
~ para(sK10,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f568,f322923,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(f322923,plain,
! [X0] : perp(sK9,sK9,X0,sK4),
inference(subsumption_resolution,[],[f322913,f296433]) ).
fof(f296433,plain,
! [X0] : cong(sK9,X0,sK9,X0),
inference(unit_resulting_resolution,[],[f58015,f58015,f58015,f4842,f463]) ).
fof(f4842,plain,
! [X0,X1] : eqangle(sK7,sK9,X0,X1,sK7,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f3251,f451]) ).
fof(f3251,plain,
para(sK7,sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f589,f570,f467]) ).
fof(f570,plain,
perp(sK4,sK5,sK7,sK9),
inference(unit_resulting_resolution,[],[f559,f401]) ).
fof(f401,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(f589,plain,
perp(sK7,sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f570,f402]) ).
fof(f58015,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(unit_resulting_resolution,[],[f51559,f51559,f438]) ).
fof(f51559,plain,
! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
inference(unit_resulting_resolution,[],[f48733,f48733,f438]) ).
fof(f48733,plain,
! [X0,X1] : cyclic(sK4,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f46083,f46083,f438]) ).
fof(f46083,plain,
! [X0] : cyclic(sK5,sK4,sK4,X0),
inference(unit_resulting_resolution,[],[f45129,f394]) ).
fof(f394,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(f45129,plain,
! [X0] : cyclic(sK5,sK4,X0,sK4),
inference(unit_resulting_resolution,[],[f32025,f395]) ).
fof(f395,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(f32025,plain,
! [X0] : cyclic(sK5,X0,sK4,sK4),
inference(unit_resulting_resolution,[],[f4908,f30395,f412]) ).
fof(f4908,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f3265,f451]) ).
fof(f3265,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f570,f589,f467]) ).
fof(f322913,plain,
! [X0] :
( perp(sK9,sK9,X0,sK4)
| ~ cong(sK9,X0,sK9,X0) ),
inference(resolution,[],[f298729,f409]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f298729,plain,
cong(sK9,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f6336,f7394,f6336,f6685,f463]) ).
fof(f6685,plain,
eqangle(sK9,sK9,sK9,sK4,sK9,sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f6336,f396]) ).
fof(f7394,plain,
cyclic(sK9,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f6697,f395]) ).
fof(f6697,plain,
cyclic(sK9,sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f6346,f6346,f438]) ).
fof(f6346,plain,
cyclic(sK7,sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f6290,f394]) ).
fof(f6290,plain,
cyclic(sK7,sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f6267,f395]) ).
fof(f6336,plain,
cyclic(sK9,sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f6288,f393]) ).
fof(f393,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(f568,plain,
~ perp(sK10,sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f557,f401]) ).
fof(f557,plain,
~ perp(sK10,sK9,sK4,sK8),
inference(unit_resulting_resolution,[],[f381,f402]) ).
fof(f381,plain,
~ perp(sK4,sK8,sK10,sK9),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO636+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
% 0.15/0.36 % Computer : n014.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 05:36:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21994)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21997)WARNING: value z3 for option sas not known
% 0.15/0.38 % (21996)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 % (21995)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (21998)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (21997)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 % (22001)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (21999)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 % (22000)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.47 TRYING [1]
% 0.22/0.49 TRYING [2]
% 3.46/0.89 TRYING [1]
% 3.46/0.89 TRYING [2]
% 4.12/0.96 TRYING [3]
% 8.62/1.58 TRYING [3]
% 30.82/4.81 % (22001)First to succeed.
% 30.82/4.82 % (22001)Refutation found. Thanks to Tanya!
% 30.82/4.82 % SZS status Theorem for theBenchmark
% 30.82/4.82 % SZS output start Proof for theBenchmark
% See solution above
% 30.82/4.82 % (22001)------------------------------
% 30.82/4.82 % (22001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 30.82/4.82 % (22001)Termination reason: Refutation
% 30.82/4.82
% 30.82/4.82 % (22001)Memory used [KB]: 34831
% 30.82/4.82 % (22001)Time elapsed: 4.434 s
% 30.82/4.82 % (22001)Instructions burned: 10567 (million)
% 30.82/4.82 % (22001)------------------------------
% 30.82/4.82 % (22001)------------------------------
% 30.82/4.82 % (21994)Success in time 4.416 s
%------------------------------------------------------------------------------