TSTP Solution File: GEO557+1 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n001.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 06:32:24 EDT 2024
% Result : Theorem 9.58s 1.69s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 92 ( 8 unt; 0 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 258 ( 90 ~; 73 |; 67 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 392 ( 352 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6452,plain,
$false,
inference(avatar_sat_refutation,[],[f1580,f5181,f6386,f6451]) ).
fof(f6451,plain,
( ~ spl32_27
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f6450,f1578,f2740]) ).
fof(f2740,plain,
( spl32_27
<=> cyclic(sK3,sK3,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f1578,plain,
( spl32_4
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f6450,plain,
( ~ cyclic(sK3,sK3,sK2,sK1)
| ~ spl32_4 ),
inference(subsumption_resolution,[],[f6306,f1579]) ).
fof(f1579,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f6306,plain,
( ~ para(sK2,sK3,sK2,sK3)
| ~ cyclic(sK3,sK3,sK2,sK1) ),
inference(resolution,[],[f3916,f602]) ).
fof(f602,plain,
! [X0] :
( ~ cyclic(X0,sK3,sK2,sK8)
| ~ cyclic(X0,sK3,sK2,sK1) ),
inference(resolution,[],[f420,f516]) ).
fof(f516,plain,
~ cyclic(sK3,sK2,sK1,sK8),
inference(resolution,[],[f500,f380]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,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',unknown) ).
fof(f500,plain,
~ cyclic(sK2,sK3,sK1,sK8),
inference(resolution,[],[f489,f381]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
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',unknown) ).
fof(f489,plain,
~ cyclic(sK2,sK3,sK8,sK1),
inference(resolution,[],[f382,f482]) ).
fof(f482,plain,
~ cyclic(sK2,sK8,sK3,sK1),
inference(resolution,[],[f380,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,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',unknown) ).
fof(f420,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3916,plain,
! [X2,X0,X1] :
( cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X0,X2) ),
inference(subsumption_resolution,[],[f2546,f2901]) ).
fof(f2901,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[],[f808,f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
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',unknown) ).
fof(f808,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
| coll(X0,X2,X1)
| cyclic(X1,X3,X0,X2) ),
inference(resolution,[],[f474,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f474,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2546,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[],[f807,f436]) ).
fof(f807,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
| ~ coll(X0,X2,X3)
| cyclic(X1,X3,X0,X2) ),
inference(resolution,[],[f474,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6386,plain,
( ~ spl32_4
| spl32_27 ),
inference(avatar_contradiction_clause,[],[f6385]) ).
fof(f6385,plain,
( $false
| ~ spl32_4
| spl32_27 ),
inference(subsumption_resolution,[],[f6307,f1579]) ).
fof(f6307,plain,
( ~ para(sK2,sK3,sK2,sK3)
| spl32_27 ),
inference(resolution,[],[f3916,f2742]) ).
fof(f2742,plain,
( ~ cyclic(sK3,sK3,sK2,sK1)
| spl32_27 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f5181,plain,
~ spl32_3,
inference(avatar_contradiction_clause,[],[f5170]) ).
fof(f5170,plain,
( $false
| ~ spl32_3 ),
inference(resolution,[],[f4966,f360]) ).
fof(f360,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f4966,plain,
( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
| ~ spl32_3 ),
inference(resolution,[],[f4461,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4461,plain,
( ! [X2,X3,X0,X1] : ~ perp(X2,X3,X0,X1)
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f4448,f387]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4448,plain,
( ! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X0,X1) )
| ~ spl32_3 ),
inference(resolution,[],[f1576,f451]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1576,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1575,plain,
( spl32_3
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f1580,plain,
( spl32_3
| spl32_4 ),
inference(avatar_split_clause,[],[f1567,f1578,f1575]) ).
fof(f1567,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f773,f436]) ).
fof(f773,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| para(X2,X3,X4,X5) ),
inference(resolution,[],[f471,f446]) ).
fof(f446,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',unknown) ).
fof(f471,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
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',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO557+1 : TPTP v8.2.0. Released v7.5.0.
% 0.00/0.10 % Command : run_vampire %s %d SAT
% 0.09/0.31 % Computer : n001.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Jun 21 09:23:54 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.17/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.33 Running first-order model finding
% 0.17/0.33 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7697)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7699)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7701)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7700)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7702)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7698)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.17/0.39 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (7703)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.17/0.39 Cannot represent all propositional literals internally
% 0.17/0.39 % (7700)Refutation not found, incomplete strategy% (7700)------------------------------
% 0.17/0.39 % (7700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.39 % (7700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.39 % (7700)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39 % (7700)Memory used [KB]: 1041
% 0.17/0.39 % (7700)Time elapsed: 0.007 s
% 0.17/0.39 % (7700)Instructions burned: 14 (million)
% 0.17/0.39 % (7700)------------------------------
% 0.17/0.39 % (7700)------------------------------
% 0.17/0.39 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.19/0.44 % (7701)Instruction limit reached!
% 0.19/0.44 % (7701)------------------------------
% 0.19/0.44 % (7701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.44 % (7701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.44 % (7701)Termination reason: Time limit
% 0.19/0.44 % (7701)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (7701)Memory used [KB]: 1802
% 0.19/0.44 % (7701)Time elapsed: 0.059 s
% 0.19/0.44 % (7701)Instructions burned: 104 (million)
% 0.19/0.45 TRYING [3]
% 0.19/0.45 % (7703)Instruction limit reached!
% 0.19/0.45 % (7703)------------------------------
% 0.19/0.45 % (7703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.45 % (7703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.45 % (7703)Termination reason: Time limit
% 0.19/0.45 % (7703)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (7703)Memory used [KB]: 2818
% 0.19/0.45 % (7703)Time elapsed: 0.063 s
% 0.19/0.45 % (7703)Instructions burned: 116 (million)
% 0.19/0.46 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (7704)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.19/0.46 % (7702)Instruction limit reached!
% 0.19/0.46 % (7702)------------------------------
% 0.19/0.46 % (7702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.46 % (7702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.46 % (7702)Termination reason: Time limit
% 0.19/0.46 % (7702)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (7702)Memory used [KB]: 1881
% 0.19/0.46 % (7702)Time elapsed: 0.079 s
% 0.19/0.46 % (7702)Instructions burned: 146 (million)
% 0.19/0.52 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52 % (7705)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.19/0.52 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52 % (7706)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.19/0.52 % (7696)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52 % (7707)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.88/0.60 % (7705)Instruction limit reached!
% 1.88/0.60 % (7705)------------------------------
% 1.88/0.60 % (7705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.88/0.60 % (7705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.88/0.60 % (7705)Termination reason: Time limit
% 1.88/0.60 % (7705)Termination phase: Saturation
% 1.88/0.60
% 1.88/0.60 % (7705)Memory used [KB]: 3313
% 1.88/0.60 % (7705)Time elapsed: 0.087 s
% 1.88/0.60 % (7705)Instructions burned: 176 (million)
% 2.18/0.65 % (7706)Instruction limit reached!
% 2.18/0.65 % (7706)------------------------------
% 2.18/0.65 % (7706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.18/0.65 % (7706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.18/0.65 % (7706)Termination reason: Time limit
% 2.18/0.65 % (7706)Termination phase: Saturation
% 2.18/0.65
% 2.18/0.65 % (7706)Memory used [KB]: 2823
% 2.18/0.65 % (7706)Time elapsed: 0.132 s
% 2.18/0.65 % (7706)Instructions burned: 271 (million)
% 2.18/0.66 % (7704)Instruction limit reached!
% 2.18/0.66 % (7704)------------------------------
% 2.18/0.66 % (7704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.18/0.66 % (7704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.18/0.66 % (7704)Termination reason: Time limit
% 2.18/0.66 % (7704)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (7704)Memory used [KB]: 3546
% 2.18/0.66 % (7704)Time elapsed: 0.201 s
% 2.18/0.66 % (7704)Instructions burned: 404 (million)
% 2.18/0.67 % (7696)Running in auto input_syntax mode. Trying TPTP
% 2.18/0.67 % (7708)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.18/0.67 TRYING [1]
% 2.18/0.68 TRYING [2]
% 2.18/0.71 % (7696)Running in auto input_syntax mode. Trying TPTP
% 2.18/0.71 % (7709)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.18/0.72 % (7696)Running in auto input_syntax mode. Trying TPTP
% 2.18/0.72 % (7710)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2996ds/1187Mi)
% 2.62/0.74 TRYING [3]
% 3.44/1.01 % (7707)Instruction limit reached!
% 3.44/1.01 % (7707)------------------------------
% 3.44/1.01 % (7707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.44/1.01 % (7707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.44/1.01 % (7707)Termination reason: Time limit
% 3.44/1.01 % (7707)Termination phase: Saturation
% 3.44/1.01
% 3.44/1.01 % (7707)Memory used [KB]: 10866
% 3.44/1.01 % (7707)Time elapsed: 0.491 s
% 3.44/1.01 % (7707)Instructions burned: 900 (million)
% 4.02/1.09 % (7696)Running in auto input_syntax mode. Trying TPTP
% 4.02/1.09 % (7711)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2993ds/23580Mi)
% 4.02/1.10 TRYING [1]
% 4.02/1.10 TRYING [2]
% 4.02/1.15 TRYING [3]
% 6.08/1.22 % (7710)Instruction limit reached!
% 6.08/1.22 % (7710)------------------------------
% 6.08/1.22 % (7710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.08/1.22 % (7710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.08/1.22 % (7710)Termination reason: Time limit
% 6.08/1.22 % (7710)Termination phase: Saturation
% 6.08/1.22
% 6.08/1.22 % (7710)Memory used [KB]: 4121
% 6.08/1.22 % (7710)Time elapsed: 0.498 s
% 6.08/1.22 % (7710)Instructions burned: 1188 (million)
% 6.39/1.29 % (7696)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.29 % (7712)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2991ds/2892Mi)
% 6.39/1.30 Cannot represent all propositional literals internally
% 6.39/1.30 % (7712)Refutation not found, incomplete strategy% (7712)------------------------------
% 6.39/1.30 % (7712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.39/1.30 % (7712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.39/1.30 % (7712)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.30
% 6.39/1.30 % (7712)Memory used [KB]: 1016
% 6.39/1.30 % (7712)Time elapsed: 0.008 s
% 6.39/1.30 % (7712)Instructions burned: 13 (million)
% 6.39/1.30 % (7712)------------------------------
% 6.39/1.30 % (7712)------------------------------
% 7.34/1.38 % (7696)Running in auto input_syntax mode. Trying TPTP
% 7.34/1.38 % (7713)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2990ds/1693Mi)
% 8.74/1.69 % (7713)First to succeed.
% 9.58/1.69 % (7713)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7696"
% 9.58/1.69 % (7696)Running in auto input_syntax mode. Trying TPTP
% 9.58/1.69 % (7713)Refutation found. Thanks to Tanya!
% 9.58/1.69 % SZS status Theorem for theBenchmark
% 9.58/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/1.69 % (7713)------------------------------
% 9.58/1.69 % (7713)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.58/1.69 % (7713)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.58/1.69 % (7713)Termination reason: Refutation
% 9.58/1.69
% 9.58/1.69 % (7713)Memory used [KB]: 2828
% 9.58/1.69 % (7713)Time elapsed: 0.316 s
% 9.58/1.69 % (7713)Instructions burned: 710 (million)
% 9.58/1.69 % (7713)------------------------------
% 9.58/1.69 % (7713)------------------------------
% 9.58/1.69 % (7696)Success in time 1.34 s
%------------------------------------------------------------------------------