TSTP Solution File: RNG099+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG099+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 18:14:58 EDT 2022
% Result : Theorem 1.99s 0.65s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 101 ( 17 unt; 0 def)
% Number of atoms : 319 ( 3 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 350 ( 132 ~; 125 |; 57 &)
% ( 20 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 14 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 99 ( 81 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f889,plain,
$false,
inference(avatar_sat_refutation,[],[f210,f229,f296,f308,f310,f332,f334,f838,f852,f864,f866,f868,f870,f888]) ).
fof(f888,plain,
( ~ spl11_14
| ~ spl11_45
| ~ spl11_43 ),
inference(avatar_split_clause,[],[f887,f835,f845,f293]) ).
fof(f293,plain,
( spl11_14
<=> aElement0(xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f845,plain,
( spl11_45
<=> sdteqdtlpzmzozddtrp0(xw,xx,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
fof(f835,plain,
( spl11_43
<=> sdteqdtlpzmzozddtrp0(xw,xy,xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
fof(f887,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ spl11_43 ),
inference(resolution,[],[f837,f154]) ).
fof(f154,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& sdteqdtlpzmzozddtrp0(X0,xx,xI) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& sdteqdtlpzmzozddtrp0(X0,xx,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f837,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f870,plain,
( spl11_2
| ~ spl11_46 ),
inference(avatar_split_clause,[],[f869,f849,f207]) ).
fof(f207,plain,
( spl11_2
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f849,plain,
( spl11_46
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
fof(f869,plain,
( aSet0(xI)
| ~ spl11_46 ),
inference(resolution,[],[f850,f143]) ).
fof(f143,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( aElementOf0(sK4(X0),X0)
& ~ aElementOf0(sdtpldt0(sK3(X0),sK4(X0)),X0) )
| ( ~ aElementOf0(sdtasdt0(sK5(X0),sK3(X0)),X0)
& aElement0(sK5(X0)) ) )
& aElementOf0(sK3(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f99,f102,f101,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(sK3(X0),X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,sK3(X0)),X0)
& aElement0(X3) ) )
& aElementOf0(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(sK3(X0),X2),X0) )
=> ( aElementOf0(sK4(X0),X0)
& ~ aElementOf0(sdtpldt0(sK3(X0),sK4(X0)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,sK3(X0)),X0)
& aElement0(X3) )
=> ( ~ aElementOf0(sdtasdt0(sK5(X0),sK3(X0)),X0)
& aElement0(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X3] :
( aElementOf0(X3,X0)
& ~ aElementOf0(sdtpldt0(X1,X3),X0) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X3] :
( aElementOf0(X3,X0)
& ~ aElementOf0(sdtpldt0(X1,X3),X0) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) )
<=> aIdeal0(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f850,plain,
( aIdeal0(xI)
| ~ spl11_46 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f868,plain,
spl11_46,
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f867,plain,
( $false
| spl11_46 ),
inference(resolution,[],[f851,f170]) ).
fof(f170,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f851,plain,
( ~ aIdeal0(xI)
| spl11_46 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f866,plain,
( spl11_5
| ~ spl11_42 ),
inference(avatar_split_clause,[],[f865,f831,f221]) ).
fof(f221,plain,
( spl11_5
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f831,plain,
( spl11_42
<=> aIdeal0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
fof(f865,plain,
( aSet0(xJ)
| ~ spl11_42 ),
inference(resolution,[],[f832,f143]) ).
fof(f832,plain,
( aIdeal0(xJ)
| ~ spl11_42 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f864,plain,
spl11_42,
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f863,plain,
( $false
| spl11_42 ),
inference(resolution,[],[f833,f169]) ).
fof(f169,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f833,plain,
( ~ aIdeal0(xJ)
| spl11_42 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f852,plain,
( ~ spl11_15
| spl11_45
| ~ spl11_14
| ~ spl11_46 ),
inference(avatar_split_clause,[],[f808,f849,f293,f845,f305]) ).
fof(f305,plain,
( spl11_15
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f808,plain,
( ~ aIdeal0(xI)
| ~ aElement0(xw)
| sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xx) ),
inference(resolution,[],[f166,f152]) ).
fof(f152,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1332) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ aElement0(X1)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aIdeal0(X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ aIdeal0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X2,X1,X0] :
( ~ aIdeal0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
| ~ aElementOf0(sdtpldt0(X2,smndt0(X1)),X0) )
& ( aElementOf0(sdtpldt0(X2,smndt0(X1)),X0)
| ~ sdteqdtlpzmzozddtrp0(X2,X1,X0) ) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X2,X1,X0] :
( ~ aIdeal0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
<=> aElementOf0(sdtpldt0(X2,smndt0(X1)),X0) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
<=> aElementOf0(sdtpldt0(X2,smndt0(X1)),X0) )
| ~ aIdeal0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( aIdeal0(X0)
& aElement0(X2)
& aElement0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X2,X1,X0)
<=> aElementOf0(sdtpldt0(X2,smndt0(X1)),X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X2,X1,X0] :
( ( aElement0(X1)
& aIdeal0(X2)
& aElement0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(f838,plain,
( ~ spl11_14
| ~ spl11_18
| ~ spl11_42
| spl11_43 ),
inference(avatar_split_clause,[],[f809,f835,f831,f329,f293]) ).
fof(f329,plain,
( spl11_18
<=> aElement0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f809,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aIdeal0(xJ)
| ~ aElement0(xy)
| ~ aElement0(xw) ),
inference(resolution,[],[f166,f179]) ).
fof(f179,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1409) ).
fof(f334,plain,
spl11_18,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| spl11_18 ),
inference(resolution,[],[f331,f168]) ).
fof(f168,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(f331,plain,
( ~ aElement0(xy)
| spl11_18 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f332,plain,
( ~ spl11_1
| ~ spl11_18
| spl11_13 ),
inference(avatar_split_clause,[],[f327,f289,f329,f203]) ).
fof(f203,plain,
( spl11_1
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f289,plain,
( spl11_13
<=> aElement0(sdtasdt0(xy,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f327,plain,
( ~ aElement0(xy)
| ~ aElement0(xa)
| spl11_13 ),
inference(resolution,[],[f291,f118]) ).
fof(f118,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0)) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f291,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| spl11_13 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f310,plain,
spl11_15,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| spl11_15 ),
inference(resolution,[],[f307,f167]) ).
fof(f167,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f307,plain,
( ~ aElement0(xx)
| spl11_15 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( ~ spl11_15
| ~ spl11_6
| spl11_12 ),
inference(avatar_split_clause,[],[f303,f285,f226,f305]) ).
fof(f226,plain,
( spl11_6
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f285,plain,
( spl11_12
<=> aElement0(sdtasdt0(xx,xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f303,plain,
( ~ aElement0(xb)
| ~ aElement0(xx)
| spl11_12 ),
inference(resolution,[],[f287,f118]) ).
fof(f287,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| spl11_12 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f296,plain,
( ~ spl11_12
| ~ spl11_13
| spl11_14 ),
inference(avatar_split_clause,[],[f269,f293,f289,f285]) ).
fof(f269,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(superposition,[],[f128,f181]) ).
fof(f181,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1319) ).
fof(f128,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f229,plain,
( ~ spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f201,f226,f221]) ).
fof(f201,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f117,f184]) ).
fof(f184,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( aElementOf0(xb,xJ)
& sz10 = sdtpldt0(xa,xb)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
fof(f117,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f210,plain,
( spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f200,f207,f203]) ).
fof(f200,plain,
( ~ aSet0(xI)
| aElement0(xa) ),
inference(resolution,[],[f117,f182]) ).
fof(f182,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG099+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:03:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (4744)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (4751)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (4751)Instruction limit reached!
% 0.19/0.50 % (4751)------------------------------
% 0.19/0.50 % (4751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4751)Termination reason: Unknown
% 0.19/0.51 % (4751)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (4751)Memory used [KB]: 6140
% 0.19/0.51 % (4751)Time elapsed: 0.071 s
% 0.19/0.51 % (4751)Instructions burned: 8 (million)
% 0.19/0.51 % (4751)------------------------------
% 0.19/0.51 % (4751)------------------------------
% 0.19/0.53 % (4735)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (4741)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (4741)Instruction limit reached!
% 0.19/0.53 % (4741)------------------------------
% 0.19/0.53 % (4741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4741)Termination reason: Unknown
% 0.19/0.53 % (4741)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (4741)Memory used [KB]: 1407
% 0.19/0.53 % (4741)Time elapsed: 0.003 s
% 0.19/0.53 % (4741)Instructions burned: 2 (million)
% 0.19/0.53 % (4741)------------------------------
% 0.19/0.53 % (4741)------------------------------
% 0.19/0.54 % (4748)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.57 % (4744)Instruction limit reached!
% 0.19/0.57 % (4744)------------------------------
% 0.19/0.57 % (4744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4744)Termination reason: Unknown
% 0.19/0.57 % (4744)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (4744)Memory used [KB]: 7547
% 0.19/0.57 % (4744)Time elapsed: 0.140 s
% 0.19/0.57 % (4744)Instructions burned: 100 (million)
% 0.19/0.57 % (4744)------------------------------
% 0.19/0.57 % (4744)------------------------------
% 0.19/0.57 % (4735)Instruction limit reached!
% 0.19/0.57 % (4735)------------------------------
% 0.19/0.57 % (4735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4735)Termination reason: Unknown
% 0.19/0.57 % (4735)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (4735)Memory used [KB]: 1791
% 0.19/0.57 % (4735)Time elapsed: 0.152 s
% 0.19/0.57 % (4735)Instructions burned: 16 (million)
% 0.19/0.57 % (4735)------------------------------
% 0.19/0.57 % (4735)------------------------------
% 0.19/0.60 % (4752)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.61 % (4745)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.61 % (4732)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.61 % (4728)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.61 % (4738)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.62 % (4738)Instruction limit reached!
% 0.19/0.62 % (4738)------------------------------
% 0.19/0.62 % (4738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (4738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (4738)Termination reason: Unknown
% 0.19/0.62 % (4738)Termination phase: Saturation
% 0.19/0.62
% 0.19/0.62 % (4738)Memory used [KB]: 6140
% 0.19/0.62 % (4738)Time elapsed: 0.198 s
% 0.19/0.62 % (4738)Instructions burned: 7 (million)
% 0.19/0.62 % (4738)------------------------------
% 0.19/0.62 % (4738)------------------------------
% 0.19/0.62 % (4730)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.62 % (4733)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.62 % (4742)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.63 % (4739)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.63 % (4755)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 1.78/0.63 % (4736)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.78/0.64 % (4746)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.78/0.64 % (4749)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.78/0.65 % (4745)First to succeed.
% 1.99/0.65 % (4733)Instruction limit reached!
% 1.99/0.65 % (4733)------------------------------
% 1.99/0.65 % (4733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.65 % (4733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.65 % (4733)Termination reason: Unknown
% 1.99/0.65 % (4733)Termination phase: Saturation
% 1.99/0.65
% 1.99/0.65 % (4733)Memory used [KB]: 6268
% 1.99/0.65 % (4733)Time elapsed: 0.214 s
% 1.99/0.65 % (4733)Instructions burned: 13 (million)
% 1.99/0.65 % (4733)------------------------------
% 1.99/0.65 % (4733)------------------------------
% 1.99/0.65 % (4745)Refutation found. Thanks to Tanya!
% 1.99/0.65 % SZS status Theorem for theBenchmark
% 1.99/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.66 % (4745)------------------------------
% 1.99/0.66 % (4745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (4745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (4745)Termination reason: Refutation
% 1.99/0.66
% 1.99/0.66 % (4745)Memory used [KB]: 6396
% 1.99/0.66 % (4745)Time elapsed: 0.219 s
% 1.99/0.66 % (4745)Instructions burned: 16 (million)
% 1.99/0.66 % (4745)------------------------------
% 1.99/0.66 % (4745)------------------------------
% 1.99/0.66 % (4722)Success in time 0.286 s
%------------------------------------------------------------------------------