TSTP Solution File: GEO557+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 : Mon Jun 24 06:27:52 EDT 2024
% Result : Theorem 2.53s 0.73s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 23
% Syntax : Number of formulae : 139 ( 34 unt; 0 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 295 ( 103 ~; 94 |; 68 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 413 ( 373 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16914,plain,
$false,
inference(avatar_sat_refutation,[],[f526,f2640,f16911]) ).
fof(f16911,plain,
~ spl32_1,
inference(avatar_contradiction_clause,[],[f16902]) ).
fof(f16902,plain,
( $false
| ~ spl32_1 ),
inference(resolution,[],[f16764,f368]) ).
fof(f368,plain,
~ cyclic(sK8,sK2,sK3,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( ~ cyclic(sK8,sK2,sK3,sK1)
& circle(sK7,sK2,sK8,sK11)
& circle(sK6,sK0,sK8,sK10)
& circle(sK7,sK2,sK4,sK5)
& circle(sK6,sK0,sK1,sK5)
& coll(sK5,sK1,sK4)
& coll(sK5,sK0,sK2)
& circle(sK3,sK0,sK4,sK9)
& circle(sK3,sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f321]) ).
fof(f321,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK8,sK2,sK3,sK1)
& circle(sK7,sK2,sK8,sK11)
& circle(sK6,sK0,sK8,sK10)
& circle(sK7,sK2,sK4,sK5)
& circle(sK6,sK0,sK1,sK5)
& coll(sK5,sK1,sK4)
& coll(sK5,sK0,sK2)
& circle(sK3,sK0,sK4,sK9)
& circle(sK3,sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> cyclic(X8,X2,X3,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f16764,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2)
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f16762,f16600]) ).
fof(f16600,plain,
( ! [X2,X0,X1] : cyclic(sK0,X0,X2,X1)
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f16598,f16448]) ).
fof(f16448,plain,
( ! [X0,X1] : cyclic(sK0,sK0,X1,X0)
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f16446,f16182]) ).
fof(f16182,plain,
( ! [X0] : cyclic(sK1,sK0,sK0,X0)
| ~ spl32_1 ),
inference(resolution,[],[f15721,f381]) ).
fof(f381,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',unknown) ).
fof(f15721,plain,
( ! [X0] : cyclic(sK1,sK0,X0,sK0)
| ~ spl32_1 ),
inference(resolution,[],[f15524,f382]) ).
fof(f382,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',unknown) ).
fof(f15524,plain,
( ! [X0] : cyclic(sK1,X0,sK0,sK0)
| ~ spl32_1 ),
inference(resolution,[],[f12997,f380]) ).
fof(f380,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',unknown) ).
fof(f12997,plain,
( ! [X0] : cyclic(X0,sK1,sK0,sK0)
| ~ spl32_1 ),
inference(subsumption_resolution,[],[f12976,f808]) ).
fof(f808,plain,
coll(sK0,sK0,sK1),
inference(resolution,[],[f796,f372]) ).
fof(f372,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',unknown) ).
fof(f796,plain,
coll(sK0,sK1,sK0),
inference(resolution,[],[f792,f631]) ).
fof(f631,plain,
! [X0] :
( ~ coll(sK0,sK5,X0)
| coll(sK0,X0,sK0) ),
inference(resolution,[],[f629,f391]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
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',unknown) ).
fof(f629,plain,
coll(sK0,sK5,sK0),
inference(resolution,[],[f625,f372]) ).
fof(f625,plain,
coll(sK0,sK0,sK5),
inference(resolution,[],[f501,f482]) ).
fof(f482,plain,
coll(sK5,sK2,sK0),
inference(resolution,[],[f372,f362]) ).
fof(f362,plain,
coll(sK5,sK0,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f501,plain,
! [X0] :
( ~ coll(sK5,sK2,X0)
| coll(sK0,X0,sK5) ),
inference(resolution,[],[f391,f482]) ).
fof(f792,plain,
coll(sK0,sK5,sK1),
inference(resolution,[],[f787,f372]) ).
fof(f787,plain,
coll(sK0,sK1,sK5),
inference(resolution,[],[f676,f700]) ).
fof(f700,plain,
coll(sK5,sK5,sK1),
inference(resolution,[],[f509,f493]) ).
fof(f493,plain,
coll(sK1,sK4,sK5),
inference(resolution,[],[f485,f372]) ).
fof(f485,plain,
coll(sK1,sK5,sK4),
inference(resolution,[],[f373,f363]) ).
fof(f363,plain,
coll(sK5,sK1,sK4),
inference(cnf_transformation,[],[f322]) ).
fof(f373,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',unknown) ).
fof(f509,plain,
! [X0] :
( ~ coll(sK1,sK4,X0)
| coll(sK5,X0,sK1) ),
inference(resolution,[],[f493,f391]) ).
fof(f676,plain,
! [X0] :
( ~ coll(sK5,sK5,X0)
| coll(sK0,X0,sK5) ),
inference(resolution,[],[f673,f391]) ).
fof(f673,plain,
coll(sK5,sK5,sK0),
inference(resolution,[],[f506,f491]) ).
fof(f491,plain,
coll(sK0,sK2,sK5),
inference(resolution,[],[f484,f372]) ).
fof(f484,plain,
coll(sK0,sK5,sK2),
inference(resolution,[],[f373,f362]) ).
fof(f506,plain,
! [X0] :
( ~ coll(sK0,sK2,X0)
| coll(sK5,X0,sK0) ),
inference(resolution,[],[f491,f391]) ).
fof(f12976,plain,
( ! [X0] :
( ~ coll(sK0,sK0,sK1)
| cyclic(X0,sK1,sK0,sK0) )
| ~ spl32_1 ),
inference(resolution,[],[f3722,f399]) ).
fof(f399,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',unknown) ).
fof(f3722,plain,
( ! [X0,X1] : eqangle(X0,X1,sK0,sK1,X0,X1,sK0,sK1)
| ~ spl32_1 ),
inference(resolution,[],[f2878,f471]) ).
fof(f471,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',unknown) ).
fof(f2878,plain,
( ! [X0,X1] : eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1)
| ~ spl32_1 ),
inference(resolution,[],[f2780,f436]) ).
fof(f436,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',unknown) ).
fof(f2780,plain,
( para(sK0,sK1,sK0,sK1)
| ~ spl32_1 ),
inference(resolution,[],[f2661,f2656]) ).
fof(f2656,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ spl32_1 ),
inference(resolution,[],[f521,f387]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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',unknown) ).
fof(f521,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl32_1
<=> perp(sK0,sK1,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f2661,plain,
( ! [X0,X1] :
( ~ perp(sK1,sK2,X0,X1)
| para(sK0,sK1,X0,X1) )
| ~ spl32_1 ),
inference(resolution,[],[f521,f451]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,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',unknown) ).
fof(f16446,plain,
( ! [X0,X1] :
( ~ cyclic(sK1,sK0,sK0,X0)
| cyclic(sK0,sK0,X1,X0) )
| ~ spl32_1 ),
inference(resolution,[],[f16182,f420]) ).
fof(f420,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f238]) ).
fof(f238,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',unknown) ).
fof(f16598,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK0,sK0,X0,X1)
| cyclic(sK0,X0,X2,X1) )
| ~ spl32_1 ),
inference(resolution,[],[f16448,f420]) ).
fof(f16762,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(sK0,X0,X1,X2)
| cyclic(X0,X1,X3,X2) )
| ~ spl32_1 ),
inference(resolution,[],[f16600,f420]) ).
fof(f2640,plain,
spl32_2,
inference(avatar_split_clause,[],[f2637,f523]) ).
fof(f523,plain,
( spl32_2
<=> coll(sK3,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f2637,plain,
coll(sK3,sK0,sK2),
inference(resolution,[],[f2617,f372]) ).
fof(f2617,plain,
coll(sK3,sK2,sK0),
inference(resolution,[],[f2608,f373]) ).
fof(f2608,plain,
coll(sK2,sK3,sK0),
inference(resolution,[],[f2607,f644]) ).
fof(f644,plain,
! [X0] :
( ~ coll(sK0,sK0,X0)
| coll(sK2,X0,sK0) ),
inference(resolution,[],[f643,f391]) ).
fof(f643,plain,
coll(sK0,sK0,sK2),
inference(resolution,[],[f635,f372]) ).
fof(f635,plain,
coll(sK0,sK2,sK0),
inference(resolution,[],[f630,f373]) ).
fof(f630,plain,
coll(sK2,sK0,sK0),
inference(resolution,[],[f629,f496]) ).
fof(f496,plain,
! [X0] :
( ~ coll(sK0,sK5,X0)
| coll(sK2,X0,sK0) ),
inference(resolution,[],[f391,f484]) ).
fof(f2607,plain,
coll(sK0,sK0,sK3),
inference(resolution,[],[f2603,f372]) ).
fof(f2603,plain,
coll(sK0,sK3,sK0),
inference(resolution,[],[f2584,f373]) ).
fof(f2584,plain,
coll(sK3,sK0,sK0),
inference(resolution,[],[f2544,f374]) ).
fof(f374,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',unknown) ).
fof(f2544,plain,
para(sK3,sK0,sK3,sK0),
inference(resolution,[],[f1998,f384]) ).
fof(f384,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',unknown) ).
fof(f1998,plain,
para(sK3,sK0,sK0,sK3),
inference(resolution,[],[f1993,f385]) ).
fof(f385,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',unknown) ).
fof(f1993,plain,
para(sK0,sK3,sK3,sK0),
inference(resolution,[],[f1164,f885]) ).
fof(f885,plain,
perp(sK13(sK0,sK1,sK2,sK3),sK0,sK3,sK0),
inference(resolution,[],[f687,f360]) ).
fof(f360,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f687,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X3,X0) ),
inference(resolution,[],[f386,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,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,f325]) ).
fof(f325,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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',unknown) ).
fof(f1164,plain,
! [X0,X1] :
( ~ perp(sK13(sK0,sK1,sK2,sK3),sK0,X0,X1)
| para(sK0,sK3,X0,X1) ),
inference(resolution,[],[f895,f451]) ).
fof(f895,plain,
perp(sK0,sK3,sK13(sK0,sK1,sK2,sK3),sK0),
inference(resolution,[],[f692,f360]) ).
fof(f692,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| perp(X0,X1,sK13(X0,X2,X3,X1),X0) ),
inference(resolution,[],[f387,f402]) ).
fof(f526,plain,
( spl32_1
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f512,f523,f519]) ).
fof(f512,plain,
( ~ coll(sK3,sK0,sK2)
| perp(sK0,sK1,sK1,sK2) ),
inference(resolution,[],[f393,f360]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f199]) ).
fof(f199,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 09:23:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8043)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8040)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8042)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8041)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8039)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8045)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.42 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (8044)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.47 % (8043)Instruction limit reached!
% 0.22/0.47 % (8043)------------------------------
% 0.22/0.47 % (8043)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (8043)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (8043)Termination reason: Time limit
% 0.22/0.47 % (8043)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (8043)Memory used [KB]: 1441
% 0.22/0.47 % (8043)Time elapsed: 0.046 s
% 0.22/0.47 % (8043)Instructions burned: 111 (million)
% 0.22/0.48 % (8044)Instruction limit reached!
% 0.22/0.48 % (8044)------------------------------
% 0.22/0.48 % (8044)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (8044)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (8044)Termination reason: Time limit
% 0.22/0.48 % (8044)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (8044)Memory used [KB]: 2900
% 0.22/0.48 % (8044)Time elapsed: 0.053 s
% 0.22/0.48 % (8044)Instructions burned: 132 (million)
% 0.22/0.48 % (8045)Instruction limit reached!
% 0.22/0.48 % (8045)------------------------------
% 0.22/0.48 % (8045)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (8045)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (8045)Termination reason: Time limit
% 0.22/0.48 % (8045)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (8045)Memory used [KB]: 1961
% 0.22/0.48 % (8045)Time elapsed: 0.055 s
% 0.22/0.48 % (8045)Instructions burned: 124 (million)
% 0.22/0.50 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (8046)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2999ds/126Mi)
% 0.22/0.51 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (8048)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.22/0.52 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (8047)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.22/0.54 % (8046)Instruction limit reached!
% 0.22/0.54 % (8046)------------------------------
% 0.22/0.54 % (8046)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.54 % (8046)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.54 % (8046)Termination reason: Time limit
% 0.22/0.54 % (8046)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (8046)Memory used [KB]: 2507
% 0.22/0.54 % (8046)Time elapsed: 0.042 s
% 0.22/0.54 % (8046)Instructions burned: 127 (million)
% 0.22/0.56 % (8047)Instruction limit reached!
% 0.22/0.56 % (8047)------------------------------
% 0.22/0.56 % (8047)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56 % (8047)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56 % (8047)Termination reason: Time limit
% 0.22/0.56 % (8047)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (8047)Memory used [KB]: 2194
% 0.22/0.56 % (8047)Time elapsed: 0.045 s
% 0.22/0.56 % (8047)Instructions burned: 147 (million)
% 0.22/0.56 % (8048)Instruction limit reached!
% 0.22/0.56 % (8048)------------------------------
% 0.22/0.56 % (8048)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56 % (8048)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56 % (8048)Termination reason: Time limit
% 0.22/0.56 % (8048)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (8048)Memory used [KB]: 3567
% 0.22/0.56 % (8048)Time elapsed: 0.054 s
% 0.22/0.56 % (8048)Instructions burned: 173 (million)
% 0.22/0.58 % (8038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.58 % (8049)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 1.64/0.60 % (8038)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.60 % (8052)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2998ds/230Mi)
% 1.77/0.62 % (8038)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.62 % (8051)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 1.96/0.65 % (8049)Instruction limit reached!
% 1.96/0.65 % (8049)------------------------------
% 1.96/0.65 % (8049)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.65 % (8049)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.65 % (8049)Termination reason: Time limit
% 1.96/0.65 % (8049)Termination phase: Saturation
% 1.96/0.65
% 1.96/0.65 % (8049)Memory used [KB]: 3238
% 1.96/0.65 % (8049)Time elapsed: 0.074 s
% 1.96/0.65 % (8049)Instructions burned: 226 (million)
% 1.96/0.67 % (8052)Instruction limit reached!
% 1.96/0.67 % (8052)------------------------------
% 1.96/0.67 % (8052)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.67 % (8052)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.67 % (8052)Termination reason: Time limit
% 1.96/0.67 % (8052)Termination phase: Saturation
% 1.96/0.67
% 1.96/0.67 % (8052)Memory used [KB]: 3450
% 1.96/0.67 % (8052)Time elapsed: 0.072 s
% 1.96/0.67 % (8052)Instructions burned: 232 (million)
% 1.96/0.69 % (8038)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.69 % (8054)dis-1010_76381:524288_drc=off:sil=4000:irw=on:sp=frequency:lma=on:spb=goal:rnwc=on:gs=on:nwc=13.9901:s2agt=10:kmz=on:updr=off:sac=on:newcnf=on:gsem=on:cond=fast:s2a=on:i=231:s2at=6:kws=inv_frequency:awrs=converge:awrsf=968:bd=off:nm=10:rawr=on:sfv=off:alpa=random_0 on theBenchmark for (2997ds/231Mi)
% 1.96/0.70 % (8051)Instruction limit reached!
% 1.96/0.70 % (8051)------------------------------
% 1.96/0.70 % (8051)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.70 % (8051)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.70 % (8051)Termination reason: Time limit
% 1.96/0.70 % (8051)Termination phase: Saturation
% 1.96/0.70
% 1.96/0.70 % (8051)Memory used [KB]: 2608
% 1.96/0.70 % (8051)Time elapsed: 0.081 s
% 1.96/0.70 % (8051)Instructions burned: 249 (million)
% 1.96/0.70 % (8038)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.70 % (8055)lrs+1011_1:1_sil=8000:nicw=on:i=532:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2996ds/532Mi)
% 2.53/0.73 % (8038)Running in auto input_syntax mode. Trying TPTP
% 2.53/0.73 % (8056)dis-1010_1:2_bsr=unit_only:sil=32000:tgt=full:i=1280:nm=16:bd=off_0 on theBenchmark for (2996ds/1280Mi)
% 2.53/0.73 % (8040)First to succeed.
% 2.53/0.73 % (8040)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8038"
% 2.53/0.73 % (8038)Running in auto input_syntax mode. Trying TPTP
% 2.53/0.73 % (8040)Refutation found. Thanks to Tanya!
% 2.53/0.73 % SZS status Theorem for theBenchmark
% 2.53/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.73 % (8040)------------------------------
% 2.53/0.73 % (8040)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.53/0.73 % (8040)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.53/0.73 % (8040)Termination reason: Refutation
% 2.53/0.73
% 2.53/0.73 % (8040)Memory used [KB]: 6843
% 2.53/0.73 % (8040)Time elapsed: 0.309 s
% 2.53/0.73 % (8040)Instructions burned: 800 (million)
% 2.53/0.73 % (8040)------------------------------
% 2.53/0.73 % (8040)------------------------------
% 2.53/0.73 % (8038)Success in time 0.366 s
%------------------------------------------------------------------------------