TSTP Solution File: SWV117+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV117+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n020.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 18:44:13 EDT 2022
% Result : Theorem 0.17s 0.58s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 36
% Syntax : Number of formulae : 150 ( 9 unt; 0 def)
% Number of atoms : 771 ( 90 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 924 ( 303 ~; 301 |; 256 &)
% ( 26 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 26 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 176 ( 128 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f523,plain,
$false,
inference(avatar_sat_refutation,[],[f358,f363,f368,f373,f374,f379,f380,f399,f417,f435,f439,f443,f448,f460,f465,f473,f493,f497,f503,f508,f514,f518,f522]) ).
fof(f522,plain,
( ~ spl12_2
| spl12_14 ),
inference(avatar_split_clause,[],[f519,f396,f339]) ).
fof(f339,plain,
( spl12_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f396,plain,
( spl12_14
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f519,plain,
( ~ sP1
| spl12_14 ),
inference(resolution,[],[f398,f234]) ).
fof(f234,plain,
( leq(n0,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( leq(n0,sK5)
& leq(sK6,minus(n6,n1))
& leq(n0,sK6)
& leq(sK5,minus(n6,n1))
& a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f153,f154]) ).
fof(f154,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0) )
=> ( leq(n0,sK5)
& leq(sK6,minus(n6,n1))
& leq(n0,sK6)
& leq(sK5,minus(n6,n1))
& a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(X1,minus(n6,n1))
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0) )
| ~ sP1 ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
( ? [X13,X12] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12) )
| ~ sP1 ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
( ? [X13,X12] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f398,plain,
( ~ leq(n0,sK5)
| spl12_14 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f518,plain,
( ~ spl12_2
| spl12_13 ),
inference(avatar_split_clause,[],[f515,f392,f339]) ).
fof(f392,plain,
( spl12_13
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f515,plain,
( ~ sP1
| spl12_13 ),
inference(resolution,[],[f394,f232]) ).
fof(f232,plain,
( leq(n0,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f394,plain,
( ~ leq(n0,sK6)
| spl12_13 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f514,plain,
( ~ spl12_2
| spl12_12 ),
inference(avatar_split_clause,[],[f510,f388,f339]) ).
fof(f388,plain,
( spl12_12
<=> leq(sK5,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f510,plain,
( ~ sP1
| spl12_12 ),
inference(resolution,[],[f390,f231]) ).
fof(f231,plain,
( leq(sK5,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f390,plain,
( ~ leq(sK5,minus(n6,n1))
| spl12_12 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f508,plain,
( ~ spl12_2
| spl12_11 ),
inference(avatar_split_clause,[],[f504,f384,f339]) ).
fof(f384,plain,
( spl12_11
<=> leq(sK6,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f504,plain,
( ~ sP1
| spl12_11 ),
inference(resolution,[],[f386,f233]) ).
fof(f233,plain,
( leq(sK6,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f386,plain,
( ~ leq(sK6,minus(n6,n1))
| spl12_11 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f503,plain,
( ~ spl12_6
| spl12_16 ),
inference(avatar_split_clause,[],[f499,f406,f355]) ).
fof(f355,plain,
( spl12_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f406,plain,
( spl12_16
<=> leq(sK8,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f499,plain,
( ~ sP0
| spl12_16 ),
inference(resolution,[],[f408,f237]) ).
fof(f237,plain,
( leq(sK8,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( leq(n0,sK7)
& leq(n0,sK8)
& leq(sK8,minus(n6,n1))
& a_select3(q_ds1_filter,sK7,sK8) != a_select3(q_ds1_filter,sK8,sK7)
& leq(sK7,minus(n6,n1)) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f157,f158]) ).
fof(f158,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1)) )
=> ( leq(n0,sK7)
& leq(n0,sK8)
& leq(sK8,minus(n6,n1))
& a_select3(q_ds1_filter,sK7,sK8) != a_select3(q_ds1_filter,sK8,sK7)
& leq(sK7,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X0,X1] :
( leq(n0,X0)
& leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1)) )
| ~ sP0 ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
( ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(q_ds1_filter,X11,X10) != a_select3(q_ds1_filter,X10,X11)
& leq(X10,minus(n6,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
( ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(q_ds1_filter,X11,X10) != a_select3(q_ds1_filter,X10,X11)
& leq(X10,minus(n6,n1)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f408,plain,
( ~ leq(sK8,minus(n6,n1))
| spl12_16 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f497,plain,
( ~ spl12_6
| spl12_17 ),
inference(avatar_split_clause,[],[f494,f410,f355]) ).
fof(f410,plain,
( spl12_17
<=> leq(n0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f494,plain,
( ~ sP0
| spl12_17 ),
inference(resolution,[],[f412,f238]) ).
fof(f238,plain,
( leq(n0,sK8)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f412,plain,
( ~ leq(n0,sK8)
| spl12_17 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f493,plain,
( ~ spl12_6
| spl12_15 ),
inference(avatar_split_clause,[],[f490,f402,f355]) ).
fof(f402,plain,
( spl12_15
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f490,plain,
( ~ sP0
| spl12_15 ),
inference(resolution,[],[f404,f239]) ).
fof(f239,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f404,plain,
( ~ leq(n0,sK7)
| spl12_15 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f473,plain,
( ~ spl12_10
| ~ spl12_8
| ~ spl12_5
| ~ spl12_7
| spl12_9 ),
inference(avatar_split_clause,[],[f469,f370,f360,f351,f365,f376]) ).
fof(f376,plain,
( spl12_10
<=> leq(n0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f365,plain,
( spl12_8
<=> leq(sK9,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f351,plain,
( spl12_5
<=> leq(sK10,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f360,plain,
( spl12_7
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f370,plain,
( spl12_9
<=> sQ11_eqProxy(a_select3(r_ds1_filter,sK10,sK9),a_select3(r_ds1_filter,sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f469,plain,
( ~ leq(n0,sK10)
| ~ leq(sK10,minus(n3,n1))
| ~ leq(sK9,minus(n3,n1))
| ~ leq(n0,sK9)
| spl12_9 ),
inference(resolution,[],[f372,f322]) ).
fof(f322,plain,
! [X2,X3] :
( sQ11_eqProxy(a_select3(r_ds1_filter,X2,X3),a_select3(r_ds1_filter,X3,X2))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f247,f296]) ).
fof(f296,plain,
! [X0,X1] :
( sQ11_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ11_eqProxy])]) ).
fof(f247,plain,
! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1)) )
& ( ( leq(n0,sK9)
& leq(sK9,minus(n3,n1))
& a_select3(r_ds1_filter,sK10,sK9) != a_select3(r_ds1_filter,sK9,sK10)
& leq(n0,sK10)
& leq(sK10,minus(n3,n1)) )
| sP2
| sP1
| sP0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1))
| ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) ) )
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1))
| a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f160,f161]) ).
fof(f161,plain,
( ? [X4,X5] :
( leq(n0,X4)
& leq(X4,minus(n3,n1))
& a_select3(r_ds1_filter,X5,X4) != a_select3(r_ds1_filter,X4,X5)
& leq(n0,X5)
& leq(X5,minus(n3,n1)) )
=> ( leq(n0,sK9)
& leq(sK9,minus(n3,n1))
& a_select3(r_ds1_filter,sK10,sK9) != a_select3(r_ds1_filter,sK9,sK10)
& leq(n0,sK10)
& leq(sK10,minus(n3,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1)) )
& ( ? [X4,X5] :
( leq(n0,X4)
& leq(X4,minus(n3,n1))
& a_select3(r_ds1_filter,X5,X4) != a_select3(r_ds1_filter,X4,X5)
& leq(n0,X5)
& leq(X5,minus(n3,n1)) )
| sP2
| sP1
| sP0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1))
| ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) ) )
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1))
| a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1)) )
& ! [X3,X2] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1)) )
& ( ? [X15,X14] :
( leq(n0,X15)
& leq(X15,minus(n3,n1))
& a_select3(r_ds1_filter,X15,X14) != a_select3(r_ds1_filter,X14,X15)
& leq(n0,X14)
& leq(X14,minus(n3,n1)) )
| sP2
| sP1
| sP0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(plus(n1,minus(n6,n1)),n1))
| ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) ) )
& ! [X7,X6] :
( ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1))
| a_select3(q_ds1_filter,X7,X6) = a_select3(q_ds1_filter,X6,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) ) ),
inference(definition_folding,[],[f131,f139,f138,f137]) ).
fof(f139,plain,
( ? [X8] :
( leq(n0,X8)
& ? [X9] :
( leq(X9,minus(n6,n1))
& leq(n0,X9)
& a_select3(id_ds1_filter,X9,X8) != a_select3(id_ds1_filter,X8,X9) )
& leq(X8,minus(n6,n1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f131,plain,
( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1)) )
& ! [X3,X2] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1)) )
& ( ? [X15,X14] :
( leq(n0,X15)
& leq(X15,minus(n3,n1))
& a_select3(r_ds1_filter,X15,X14) != a_select3(r_ds1_filter,X14,X15)
& leq(n0,X14)
& leq(X14,minus(n3,n1)) )
| ? [X8] :
( leq(n0,X8)
& ? [X9] :
( leq(X9,minus(n6,n1))
& leq(n0,X9)
& a_select3(id_ds1_filter,X9,X8) != a_select3(id_ds1_filter,X8,X9) )
& leq(X8,minus(n6,n1)) )
| ? [X13,X12] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12) )
| ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(q_ds1_filter,X11,X10) != a_select3(q_ds1_filter,X10,X11)
& leq(X10,minus(n6,n1)) )
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(plus(n1,minus(n6,n1)),n1))
| ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) ) )
& ! [X7,X6] :
( ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1))
| a_select3(q_ds1_filter,X7,X6) = a_select3(q_ds1_filter,X6,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
( ( ~ leq(pv5,minus(n999,n1))
| ? [X11,X10] :
( a_select3(q_ds1_filter,X11,X10) != a_select3(q_ds1_filter,X10,X11)
& leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11)
& leq(X10,minus(n6,n1)) )
| ~ leq(n0,pv5)
| ? [X14,X15] :
( a_select3(r_ds1_filter,X15,X14) != a_select3(r_ds1_filter,X14,X15)
& leq(X15,minus(n3,n1))
& leq(n0,X14)
& leq(X14,minus(n3,n1))
& leq(n0,X15) )
| ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X9,X8) != a_select3(id_ds1_filter,X8,X9)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X12,minus(n6,n1))
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& leq(n0,X13) ) )
& leq(pv5,minus(n999,n1))
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) )
| ~ leq(X0,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X0) )
& leq(n0,pv5)
& ! [X3,X2] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(n0,X4)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5) )
& ! [X7,X6] :
( a_select3(q_ds1_filter,X7,X6) = a_select3(q_ds1_filter,X6,X7)
| ~ leq(n0,X7)
| ~ leq(X6,minus(n6,n1))
| ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X6) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( leq(pv5,minus(n999,n1))
& ! [X0] :
( ( leq(X0,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ) )
& leq(n0,pv5)
& ! [X3,X2] :
( ( leq(n0,X2)
& leq(X3,minus(n3,n1))
& leq(n0,X3)
& leq(X2,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(n0,X4)
& leq(X4,minus(n6,n1))
& leq(n0,X5) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X7,X6] :
( ( leq(n0,X7)
& leq(X6,minus(n6,n1))
& leq(X7,minus(n6,n1))
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X7,X6) = a_select3(q_ds1_filter,X6,X7) ) )
=> ( leq(pv5,minus(n999,n1))
& ! [X11,X10] :
( ( leq(n0,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11)
& leq(X10,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X11,X10) = a_select3(q_ds1_filter,X10,X11) )
& leq(n0,pv5)
& ! [X14,X15] :
( ( leq(X15,minus(n3,n1))
& leq(n0,X14)
& leq(X14,minus(n3,n1))
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X14) = a_select3(r_ds1_filter,X14,X15) )
& ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X9,X8) = a_select3(id_ds1_filter,X8,X9) ) )
& ! [X12,X13] :
( ( leq(X12,minus(n6,n1))
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) ) )
& ! [X19,X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X19)
& leq(X19,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X20,X21] :
( ( leq(X20,minus(n6,n1))
& leq(n0,X20)
& leq(n0,X21)
& leq(X21,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X17,X13] :
( ( leq(n0,X17)
& leq(X13,minus(n6,n1))
& leq(n0,X13)
& leq(X17,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1)) )
=> ( ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X4,X10] :
( ( leq(n0,X4)
& leq(n0,X10)
& leq(X4,minus(n6,n1))
& leq(X10,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(n0,pv5)
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(n0,X14)
& leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& leq(pv5,minus(n999,n1))
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X15)
& leq(X15,minus(n3,n1))
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_ds1_filter,X28,X27) ) )
& ! [X19,X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X19)
& leq(X19,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X20,X21] :
( ( leq(X20,minus(n6,n1))
& leq(n0,X20)
& leq(n0,X21)
& leq(X21,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X17,X13] :
( ( leq(n0,X17)
& leq(X13,minus(n6,n1))
& leq(n0,X13)
& leq(X17,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1)) )
=> ( ! [X29] :
( ( leq(n0,X29)
& leq(X29,minus(n6,n1)) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X4,X10] :
( ( leq(n0,X4)
& leq(n0,X10)
& leq(X4,minus(n6,n1))
& leq(X10,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(n0,pv5)
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(n0,X14)
& leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& leq(pv5,minus(n999,n1))
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X15)
& leq(X15,minus(n3,n1))
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0010) ).
fof(f372,plain,
( ~ sQ11_eqProxy(a_select3(r_ds1_filter,sK10,sK9),a_select3(r_ds1_filter,sK9,sK10))
| spl12_9 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f465,plain,
( ~ spl12_6
| spl12_18 ),
inference(avatar_split_clause,[],[f461,f414,f355]) ).
fof(f414,plain,
( spl12_18
<=> leq(sK7,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f461,plain,
( ~ sP0
| spl12_18 ),
inference(resolution,[],[f416,f235]) ).
fof(f235,plain,
( leq(sK7,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f416,plain,
( ~ leq(sK7,minus(n6,n1))
| spl12_18 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f460,plain,
( ~ spl12_4
| spl12_21 ),
inference(avatar_split_clause,[],[f456,f428,f347]) ).
fof(f347,plain,
( spl12_4
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f428,plain,
( spl12_21
<=> leq(sK3,minus(plus(n1,minus(n6,n1)),n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f456,plain,
( ~ sP2
| spl12_21 ),
inference(resolution,[],[f453,f225]) ).
fof(f225,plain,
( leq(sK3,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( leq(n0,sK3)
& leq(sK4,minus(n6,n1))
& leq(n0,sK4)
& a_select3(id_ds1_filter,sK3,sK4) != a_select3(id_ds1_filter,sK4,sK3)
& leq(sK3,minus(n6,n1)) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f148,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) )
& leq(X0,minus(n6,n1)) )
=> ( leq(n0,sK3)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X1,sK3) != a_select3(id_ds1_filter,sK3,X1) )
& leq(sK3,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X1,sK3) != a_select3(id_ds1_filter,sK3,X1) )
=> ( leq(sK4,minus(n6,n1))
& leq(n0,sK4)
& a_select3(id_ds1_filter,sK3,sK4) != a_select3(id_ds1_filter,sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) )
& leq(X0,minus(n6,n1)) )
| ~ sP2 ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
( ? [X8] :
( leq(n0,X8)
& ? [X9] :
( leq(X9,minus(n6,n1))
& leq(n0,X9)
& a_select3(id_ds1_filter,X9,X8) != a_select3(id_ds1_filter,X8,X9) )
& leq(X8,minus(n6,n1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f139]) ).
fof(f453,plain,
( ~ leq(sK3,minus(n6,n1))
| spl12_21 ),
inference(resolution,[],[f450,f288]) ).
fof(f288,plain,
! [X0,X1] :
( gt(plus(n1,X0),X1)
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f223,f165]) ).
fof(f165,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f223,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X1,X0)
<=> gt(succ(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f450,plain,
( ~ gt(plus(n1,minus(n6,n1)),sK3)
| spl12_21 ),
inference(resolution,[],[f430,f277]) ).
fof(f277,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f190,f198]) ).
fof(f198,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f190,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ( gt(X1,X0)
| ~ leq(X0,pred(X1)) )
& ( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f430,plain,
( ~ leq(sK3,minus(plus(n1,minus(n6,n1)),n1))
| spl12_21 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f448,plain,
( ~ spl12_4
| spl12_20 ),
inference(avatar_split_clause,[],[f444,f424,f347]) ).
fof(f424,plain,
( spl12_20
<=> leq(sK4,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f444,plain,
( ~ sP2
| spl12_20 ),
inference(resolution,[],[f426,f228]) ).
fof(f228,plain,
( leq(sK4,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f426,plain,
( ~ leq(sK4,minus(n6,n1))
| spl12_20 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f443,plain,
( ~ spl12_4
| spl12_22 ),
inference(avatar_split_clause,[],[f440,f432,f347]) ).
fof(f432,plain,
( spl12_22
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f440,plain,
( ~ sP2
| spl12_22 ),
inference(resolution,[],[f434,f227]) ).
fof(f227,plain,
( leq(n0,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f434,plain,
( ~ leq(n0,sK4)
| spl12_22 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f439,plain,
( ~ spl12_4
| spl12_19 ),
inference(avatar_split_clause,[],[f436,f420,f347]) ).
fof(f420,plain,
( spl12_19
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f436,plain,
( ~ sP2
| spl12_19 ),
inference(resolution,[],[f422,f229]) ).
fof(f229,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f422,plain,
( ~ leq(n0,sK3)
| spl12_19 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f435,plain,
( ~ spl12_4
| ~ spl12_19
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f418,f432,f428,f424,f420,f347]) ).
fof(f418,plain,
( ~ leq(n0,sK4)
| ~ leq(sK3,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK3)
| ~ sP2 ),
inference(resolution,[],[f324,f318]) ).
fof(f318,plain,
( ~ sQ11_eqProxy(a_select3(id_ds1_filter,sK3,sK4),a_select3(id_ds1_filter,sK4,sK3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f226,f296]) ).
fof(f226,plain,
( a_select3(id_ds1_filter,sK3,sK4) != a_select3(id_ds1_filter,sK4,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
fof(f324,plain,
! [X6,X7] :
( sQ11_eqProxy(a_select3(id_ds1_filter,X6,X7),a_select3(id_ds1_filter,X7,X6))
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1))
| ~ leq(X7,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(equality_proxy_replacement,[],[f241,f296]) ).
fof(f241,plain,
! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(X6,minus(plus(n1,minus(n6,n1)),n1))
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f417,plain,
( ~ spl12_6
| ~ spl12_15
| ~ spl12_16
| ~ spl12_17
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f400,f414,f410,f406,f402,f355]) ).
fof(f400,plain,
( ~ leq(sK7,minus(n6,n1))
| ~ leq(n0,sK8)
| ~ leq(sK8,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ sP0 ),
inference(resolution,[],[f325,f320]) ).
fof(f320,plain,
( ~ sQ11_eqProxy(a_select3(q_ds1_filter,sK7,sK8),a_select3(q_ds1_filter,sK8,sK7))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f236,f296]) ).
fof(f236,plain,
( a_select3(q_ds1_filter,sK7,sK8) != a_select3(q_ds1_filter,sK8,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f325,plain,
! [X8,X9] :
( sQ11_eqProxy(a_select3(q_ds1_filter,X8,X9),a_select3(q_ds1_filter,X9,X8))
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) ),
inference(equality_proxy_replacement,[],[f240,f296]) ).
fof(f240,plain,
! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1))
| a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9) ),
inference(cnf_transformation,[],[f162]) ).
fof(f399,plain,
( ~ spl12_11
| ~ spl12_2
| ~ spl12_12
| ~ spl12_13
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f382,f396,f392,f388,f339,f384]) ).
fof(f382,plain,
( ~ leq(n0,sK5)
| ~ leq(n0,sK6)
| ~ leq(sK5,minus(n6,n1))
| ~ sP1
| ~ leq(sK6,minus(n6,n1)) ),
inference(resolution,[],[f321,f319]) ).
fof(f319,plain,
( ~ sQ11_eqProxy(a_select3(pminus_ds1_filter,sK5,sK6),a_select3(pminus_ds1_filter,sK6,sK5))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f230,f296]) ).
fof(f230,plain,
( a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f321,plain,
! [X0,X1] :
( sQ11_eqProxy(a_select3(pminus_ds1_filter,X0,X1),a_select3(pminus_ds1_filter,X1,X0))
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(equality_proxy_replacement,[],[f248,f296]) ).
fof(f248,plain,
! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f380,plain,
spl12_1,
inference(avatar_split_clause,[],[f250,f335]) ).
fof(f335,plain,
( spl12_1
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f250,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f162]) ).
fof(f379,plain,
( spl12_6
| ~ spl12_3
| spl12_10
| ~ spl12_1
| spl12_4
| spl12_2 ),
inference(avatar_split_clause,[],[f246,f339,f347,f335,f376,f343,f355]) ).
fof(f343,plain,
( spl12_3
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f246,plain,
( sP1
| sP2
| ~ leq(pv5,minus(n999,n1))
| leq(n0,sK9)
| ~ leq(n0,pv5)
| sP0 ),
inference(cnf_transformation,[],[f162]) ).
fof(f374,plain,
spl12_3,
inference(avatar_split_clause,[],[f249,f343]) ).
fof(f249,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f162]) ).
fof(f373,plain,
( ~ spl12_1
| spl12_6
| spl12_2
| spl12_4
| ~ spl12_9
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f323,f343,f370,f347,f339,f355,f335]) ).
fof(f323,plain,
( ~ leq(n0,pv5)
| ~ sQ11_eqProxy(a_select3(r_ds1_filter,sK10,sK9),a_select3(r_ds1_filter,sK9,sK10))
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1)) ),
inference(equality_proxy_replacement,[],[f244,f296]) ).
fof(f244,plain,
( a_select3(r_ds1_filter,sK10,sK9) != a_select3(r_ds1_filter,sK9,sK10)
| sP2
| sP1
| sP0
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f368,plain,
( spl12_4
| spl12_8
| spl12_6
| spl12_2
| ~ spl12_3
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f245,f335,f343,f339,f355,f365,f347]) ).
fof(f245,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP1
| sP0
| leq(sK9,minus(n3,n1))
| sP2 ),
inference(cnf_transformation,[],[f162]) ).
fof(f363,plain,
( spl12_2
| ~ spl12_1
| spl12_6
| ~ spl12_3
| spl12_4
| spl12_7 ),
inference(avatar_split_clause,[],[f243,f360,f347,f343,f355,f335,f339]) ).
fof(f243,plain,
( leq(n0,sK10)
| sP2
| ~ leq(n0,pv5)
| sP0
| ~ leq(pv5,minus(n999,n1))
| sP1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f358,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_3
| spl12_4
| spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f242,f355,f351,f347,f343,f339,f335]) ).
fof(f242,plain,
( sP0
| leq(sK10,minus(n3,n1))
| sP2
| ~ leq(n0,pv5)
| sP1
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV117+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Tue Aug 30 19:09:00 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.17/0.47 % (27188)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)
% 0.17/0.47 % (27198)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)
% 0.17/0.47 % (27178)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.48 % (27182)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)
% 0.17/0.48 % (27180)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.17/0.48 % (27186)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.48 % (27190)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)
% 0.17/0.49 % (27182)Instruction limit reached!
% 0.17/0.49 % (27182)------------------------------
% 0.17/0.49 % (27182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (27194)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)
% 0.17/0.49 % (27186)Instruction limit reached!
% 0.17/0.49 % (27186)------------------------------
% 0.17/0.49 % (27186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (27186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (27186)Termination reason: Unknown
% 0.17/0.49 % (27186)Termination phase: shuffling
% 0.17/0.49
% 0.17/0.49 % (27186)Memory used [KB]: 1535
% 0.17/0.49 % (27186)Time elapsed: 0.004 s
% 0.17/0.49 % (27186)Instructions burned: 3 (million)
% 0.17/0.49 % (27186)------------------------------
% 0.17/0.49 % (27186)------------------------------
% 0.17/0.50 % (27190)Instruction limit reached!
% 0.17/0.50 % (27190)------------------------------
% 0.17/0.50 % (27190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (27190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (27190)Termination reason: Unknown
% 0.17/0.50 % (27190)Termination phase: Preprocessing 3
% 0.17/0.50
% 0.17/0.50 % (27190)Memory used [KB]: 1535
% 0.17/0.50 % (27190)Time elapsed: 0.004 s
% 0.17/0.50 % (27190)Instructions burned: 3 (million)
% 0.17/0.50 % (27190)------------------------------
% 0.17/0.50 % (27190)------------------------------
% 0.17/0.50 % (27182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (27182)Termination reason: Unknown
% 0.17/0.50 % (27182)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (27182)Memory used [KB]: 6268
% 0.17/0.50 % (27182)Time elapsed: 0.104 s
% 0.17/0.50 % (27182)Instructions burned: 12 (million)
% 0.17/0.50 % (27182)------------------------------
% 0.17/0.50 % (27182)------------------------------
% 0.17/0.51 % (27196)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.52 % (27184)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)
% 0.17/0.53 % (27173)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.53 % (27175)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (27176)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.54 % (27176)Instruction limit reached!
% 0.17/0.54 % (27176)------------------------------
% 0.17/0.54 % (27176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (27176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (27176)Termination reason: Unknown
% 0.17/0.54 % (27176)Termination phase: Property scanning
% 0.17/0.54
% 0.17/0.54 % (27176)Memory used [KB]: 1663
% 0.17/0.54 % (27176)Time elapsed: 0.008 s
% 0.17/0.54 % (27176)Instructions burned: 13 (million)
% 0.17/0.54 % (27176)------------------------------
% 0.17/0.54 % (27176)------------------------------
% 0.17/0.54 % (27189)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.54 % (27183)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.54 % (27179)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)
% 0.17/0.54 % (27184)Instruction limit reached!
% 0.17/0.54 % (27184)------------------------------
% 0.17/0.54 % (27184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (27184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (27184)Termination reason: Unknown
% 0.17/0.54 % (27184)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (27184)Memory used [KB]: 1918
% 0.17/0.54 % (27184)Time elapsed: 0.010 s
% 0.17/0.54 % (27184)Instructions burned: 16 (million)
% 0.17/0.54 % (27184)------------------------------
% 0.17/0.54 % (27184)------------------------------
% 0.17/0.55 % (27200)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)
% 0.17/0.55 % (27197)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)
% 0.17/0.55 % (27187)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)
% 0.17/0.55 % (27175)Refutation not found, incomplete strategy% (27175)------------------------------
% 0.17/0.55 % (27175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (27175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (27175)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.55
% 0.17/0.55 % (27175)Memory used [KB]: 6268
% 0.17/0.55 % (27175)Time elapsed: 0.158 s
% 0.17/0.55 % (27175)Instructions burned: 10 (million)
% 0.17/0.55 % (27175)------------------------------
% 0.17/0.55 % (27175)------------------------------
% 0.17/0.55 % (27181)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)
% 0.17/0.55 % (27187)Instruction limit reached!
% 0.17/0.55 % (27187)------------------------------
% 0.17/0.55 % (27187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (27187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (27187)Termination reason: Unknown
% 0.17/0.55 % (27187)Termination phase: Property scanning
% 0.17/0.55
% 0.17/0.55 % (27187)Memory used [KB]: 1663
% 0.17/0.55 % (27187)Time elapsed: 0.006 s
% 0.17/0.55 % (27187)Instructions burned: 7 (million)
% 0.17/0.55 % (27187)------------------------------
% 0.17/0.55 % (27187)------------------------------
% 0.17/0.55 % (27191)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)
% 0.17/0.55 % (27173)Instruction limit reached!
% 0.17/0.55 % (27173)------------------------------
% 0.17/0.55 % (27173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (27173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (27173)Termination reason: Unknown
% 0.17/0.55 % (27173)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (27173)Memory used [KB]: 1791
% 0.17/0.55 % (27173)Time elapsed: 0.011 s
% 0.17/0.55 % (27173)Instructions burned: 13 (million)
% 0.17/0.55 % (27173)------------------------------
% 0.17/0.55 % (27173)------------------------------
% 0.17/0.55 % (27192)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.17/0.55 % (27195)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)
% 0.17/0.56 % (27180)Instruction limit reached!
% 0.17/0.56 % (27180)------------------------------
% 0.17/0.56 % (27180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (27180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (27180)Termination reason: Unknown
% 0.17/0.56 % (27180)Termination phase: Saturation
% 0.17/0.56
% 0.17/0.56 % (27180)Memory used [KB]: 6908
% 0.17/0.56 % (27180)Time elapsed: 0.158 s
% 0.17/0.56 % (27180)Instructions burned: 49 (million)
% 0.17/0.56 % (27180)------------------------------
% 0.17/0.56 % (27180)------------------------------
% 0.17/0.56 % (27188)Instruction limit reached!
% 0.17/0.56 % (27188)------------------------------
% 0.17/0.56 % (27188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (27188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (27188)Termination reason: Unknown
% 0.17/0.56 % (27188)Termination phase: Saturation
% 0.17/0.56
% 0.17/0.56 % (27188)Memory used [KB]: 6908
% 0.17/0.56 % (27188)Time elapsed: 0.142 s
% 0.17/0.56 % (27188)Instructions burned: 50 (million)
% 0.17/0.56 % (27188)------------------------------
% 0.17/0.56 % (27188)------------------------------
% 0.17/0.56 % (27174)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.56 % (27174)Instruction limit reached!
% 0.17/0.56 % (27174)------------------------------
% 0.17/0.56 % (27174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (27174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (27174)Termination reason: Unknown
% 0.17/0.56 % (27174)Termination phase: Preprocessing 2
% 0.17/0.56
% 0.17/0.56 % (27174)Memory used [KB]: 1535
% 0.17/0.56 % (27174)Time elapsed: 0.003 s
% 0.17/0.56 % (27174)Instructions burned: 3 (million)
% 0.17/0.56 % (27174)------------------------------
% 0.17/0.56 % (27174)------------------------------
% 0.17/0.56 % (27199)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.56 % (27189)Instruction limit reached!
% 0.17/0.56 % (27189)------------------------------
% 0.17/0.56 % (27189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (27189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (27189)Termination reason: Unknown
% 0.17/0.56 % (27189)Termination phase: Naming
% 0.17/0.56
% 0.17/0.56 % (27189)Memory used [KB]: 1535
% 0.17/0.56 % (27189)Time elapsed: 0.005 s
% 0.17/0.56 % (27189)Instructions burned: 3 (million)
% 0.17/0.56 % (27189)------------------------------
% 0.17/0.56 % (27189)------------------------------
% 0.17/0.56 % (27178)Instruction limit reached!
% 0.17/0.56 % (27178)------------------------------
% 0.17/0.56 % (27178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (27178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (27178)Termination reason: Unknown
% 0.17/0.56 % (27178)Termination phase: Saturation
% 0.17/0.56
% 0.17/0.56 % (27178)Memory used [KB]: 6524
% 0.17/0.56 % (27178)Time elapsed: 0.182 s
% 0.17/0.56 % (27178)Instructions burned: 39 (million)
% 0.17/0.56 % (27178)------------------------------
% 0.17/0.56 % (27178)------------------------------
% 0.17/0.57 % (27183)Instruction limit reached!
% 0.17/0.57 % (27183)------------------------------
% 0.17/0.57 % (27183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (27183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (27183)Termination reason: Unknown
% 0.17/0.57 % (27183)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (27183)Memory used [KB]: 6140
% 0.17/0.57 % (27183)Time elapsed: 0.007 s
% 0.17/0.57 % (27183)Instructions burned: 7 (million)
% 0.17/0.57 % (27183)------------------------------
% 0.17/0.57 % (27183)------------------------------
% 0.17/0.57 % (27200)Instruction limit reached!
% 0.17/0.57 % (27200)------------------------------
% 0.17/0.57 % (27200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (27200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (27200)Termination reason: Unknown
% 0.17/0.57 % (27200)Termination phase: Property scanning
% 0.17/0.57
% 0.17/0.57 % (27200)Memory used [KB]: 1663
% 0.17/0.57 % (27200)Time elapsed: 0.008 s
% 0.17/0.57 % (27200)Instructions burned: 10 (million)
% 0.17/0.57 % (27200)------------------------------
% 0.17/0.57 % (27200)------------------------------
% 0.17/0.57 % (27191)First to succeed.
% 0.17/0.58 % (27191)Refutation found. Thanks to Tanya!
% 0.17/0.58 % SZS status Theorem for theBenchmark
% 0.17/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.58 % (27191)------------------------------
% 0.17/0.58 % (27191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58 % (27191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58 % (27191)Termination reason: Refutation
% 0.17/0.58
% 0.17/0.58 % (27191)Memory used [KB]: 6268
% 0.17/0.58 % (27191)Time elapsed: 0.173 s
% 0.17/0.58 % (27191)Instructions burned: 10 (million)
% 0.17/0.58 % (27191)------------------------------
% 0.17/0.58 % (27191)------------------------------
% 0.17/0.58 % (27171)Success in time 0.242 s
%------------------------------------------------------------------------------