TSTP Solution File: SWV115+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV115+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 : n025.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 0.19s 0.62s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 39
% Syntax : Number of formulae : 165 ( 5 unt; 0 def)
% Number of atoms : 910 ( 106 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1100 ( 355 ~; 357 |; 315 &)
% ( 28 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 32 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 188 ( 128 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f574,plain,
$false,
inference(avatar_sat_refutation,[],[f376,f381,f386,f391,f392,f397,f398,f418,f435,f453,f457,f475,f479,f485,f489,f494,f499,f503,f509,f515,f520,f524,f545,f551,f559,f563,f567,f573]) ).
fof(f573,plain,
( ~ spl15_2
| spl15_13 ),
inference(avatar_split_clause,[],[f569,f407,f353]) ).
fof(f353,plain,
( spl15_2
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f407,plain,
( spl15_13
<=> leq(sK4,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f569,plain,
( ~ sP3
| spl15_13 ),
inference(resolution,[],[f409,f177]) ).
fof(f177,plain,
( leq(sK4,minus(n6,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( a_select3(pminus_ds1_filter,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
& leq(sK4,minus(n6,n1))
& leq(sK5,minus(n6,n1))
& leq(n0,sK4)
& leq(n0,sK5) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f144,f145]) ).
fof(f145,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X1) )
=> ( a_select3(pminus_ds1_filter,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
& leq(sK4,minus(n6,n1))
& leq(sK5,minus(n6,n1))
& leq(n0,sK4)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X1) )
| ~ sP3 ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
( ? [X17,X16] :
( a_select3(pminus_ds1_filter,X17,X16) != a_select3(pminus_ds1_filter,X16,X17)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP3 ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
( ? [X17,X16] :
( a_select3(pminus_ds1_filter,X17,X16) != a_select3(pminus_ds1_filter,X16,X17)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f409,plain,
( ~ leq(sK4,minus(n6,n1))
| spl15_13 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f567,plain,
( ~ spl15_2
| spl15_14 ),
inference(avatar_split_clause,[],[f564,f411,f353]) ).
fof(f411,plain,
( spl15_14
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f564,plain,
( ~ sP3
| spl15_14 ),
inference(resolution,[],[f413,f174]) ).
fof(f174,plain,
( leq(n0,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f413,plain,
( ~ leq(n0,sK5)
| spl15_14 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f563,plain,
( ~ spl15_7
| spl15_21 ),
inference(avatar_split_clause,[],[f560,f442,f373]) ).
fof(f373,plain,
( spl15_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f442,plain,
( spl15_21
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f560,plain,
( ~ sP2
| spl15_21 ),
inference(resolution,[],[f444,f179]) ).
fof(f179,plain,
( leq(n0,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( leq(sK6,minus(n3,n1))
& leq(sK7,minus(n3,n1))
& leq(n0,sK7)
& a_select3(r_ds1_filter,sK6,sK7) != a_select3(r_ds1_filter,sK7,sK6)
& leq(n0,sK6) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f148,f149]) ).
fof(f149,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1))
& leq(n0,X1)
& a_select3(r_ds1_filter,X1,X0) != a_select3(r_ds1_filter,X0,X1)
& leq(n0,X0) )
=> ( leq(sK6,minus(n3,n1))
& leq(sK7,minus(n3,n1))
& leq(n0,sK7)
& a_select3(r_ds1_filter,sK6,sK7) != a_select3(r_ds1_filter,sK7,sK6)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1))
& leq(n0,X1)
& a_select3(r_ds1_filter,X1,X0) != a_select3(r_ds1_filter,X0,X1)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
( ? [X10,X11] :
( leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1))
& leq(n0,X11)
& a_select3(r_ds1_filter,X11,X10) != a_select3(r_ds1_filter,X10,X11)
& leq(n0,X10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
( ? [X10,X11] :
( leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1))
& leq(n0,X11)
& a_select3(r_ds1_filter,X11,X10) != a_select3(r_ds1_filter,X10,X11)
& leq(n0,X10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f444,plain,
( ~ leq(n0,sK6)
| spl15_21 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f559,plain,
( ~ spl15_7
| spl15_20 ),
inference(avatar_split_clause,[],[f555,f438,f373]) ).
fof(f438,plain,
( spl15_20
<=> leq(sK6,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f555,plain,
( ~ sP2
| spl15_20 ),
inference(resolution,[],[f440,f183]) ).
fof(f183,plain,
( leq(sK6,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f440,plain,
( ~ leq(sK6,minus(n3,n1))
| spl15_20 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f551,plain,
( ~ spl15_7
| spl15_22 ),
inference(avatar_split_clause,[],[f548,f446,f373]) ).
fof(f446,plain,
( spl15_22
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f548,plain,
( ~ sP2
| spl15_22 ),
inference(resolution,[],[f448,f181]) ).
fof(f181,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f448,plain,
( ~ leq(n0,sK7)
| spl15_22 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f545,plain,
( ~ spl15_11
| ~ spl15_10
| ~ spl15_4
| ~ spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f527,f383,f378,f361,f388,f394]) ).
fof(f394,plain,
( spl15_11
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f388,plain,
( spl15_10
<=> leq(n0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f361,plain,
( spl15_4
<=> leq(sK12,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f378,plain,
( spl15_8
<=> leq(sK13,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f383,plain,
( spl15_9
<=> sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f527,plain,
( ~ leq(sK13,minus(n6,n1))
| ~ leq(sK12,minus(n6,n1))
| ~ leq(n0,sK12)
| ~ leq(n0,sK13)
| spl15_9 ),
inference(resolution,[],[f385,f314]) ).
fof(f314,plain,
! [X2,X3] :
( sQ14_eqProxy(a_select3(id_ds1_filter,X2,X3),a_select3(id_ds1_filter,X3,X2))
| ~ leq(n0,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1)) ),
inference(equality_proxy_replacement,[],[f203,f308]) ).
fof(f308,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f203,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) )
& leq(pv5,minus(n999,n1))
& ! [X2] :
( ! [X3] :
( ~ leq(n0,X3)
| a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1)) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ( ~ leq(pv5,minus(n999,n1))
| ( leq(n0,sK12)
& leq(n0,sK13)
& leq(sK13,minus(n6,n1))
& a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12)
& leq(sK12,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP3
| sP2
| sP1
| sP0 )
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1)) )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(X10,minus(n6,n1))
| a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(n0,pv5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f159,f161,f160]) ).
fof(f160,plain,
( ? [X6] :
( leq(n0,X6)
& ? [X7] :
( leq(n0,X7)
& leq(X7,minus(n6,n1))
& a_select3(id_ds1_filter,X6,X7) != a_select3(id_ds1_filter,X7,X6) )
& leq(X6,minus(n6,n1)) )
=> ( leq(n0,sK12)
& ? [X7] :
( leq(n0,X7)
& leq(X7,minus(n6,n1))
& a_select3(id_ds1_filter,X7,sK12) != a_select3(id_ds1_filter,sK12,X7) )
& leq(sK12,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X7] :
( leq(n0,X7)
& leq(X7,minus(n6,n1))
& a_select3(id_ds1_filter,X7,sK12) != a_select3(id_ds1_filter,sK12,X7) )
=> ( leq(n0,sK13)
& leq(sK13,minus(n6,n1))
& a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) )
& leq(pv5,minus(n999,n1))
& ! [X2] :
( ! [X3] :
( ~ leq(n0,X3)
| a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1)) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ( ~ leq(pv5,minus(n999,n1))
| ? [X6] :
( leq(n0,X6)
& ? [X7] :
( leq(n0,X7)
& leq(X7,minus(n6,n1))
& a_select3(id_ds1_filter,X6,X7) != a_select3(id_ds1_filter,X7,X6) )
& leq(X6,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP3
| sP2
| sP1
| sP0 )
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1)) )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(X10,minus(n6,n1))
| a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(n0,pv5) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
( ! [X1,X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) )
& leq(pv5,minus(n999,n1))
& ! [X6] :
( ! [X7] :
( ~ leq(n0,X7)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ( ~ leq(pv5,minus(n999,n1))
| ? [X14] :
( leq(n0,X14)
& ? [X15] :
( leq(n0,X15)
& leq(X15,minus(n6,n1))
& a_select3(id_ds1_filter,X15,X14) != a_select3(id_ds1_filter,X14,X15) )
& leq(X14,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP3
| sP2
| sP1
| sP0 )
& ! [X9,X8] :
( ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(X8,minus(n6,n1)) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) )
& leq(n0,pv5) ),
inference(definition_folding,[],[f114,f140,f139,f138,f137]) ).
fof(f137,plain,
( ? [X19,X18] :
( leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(pminus_ds1_filter,X19,X18) != a_select3(pminus_ds1_filter,X18,X19)
& leq(X19,minus(n6,n1)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f138,plain,
( ? [X12,X13] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1))
& a_select3(q_ds1_filter,X12,X13) != a_select3(q_ds1_filter,X13,X12)
& leq(n0,X12) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f114,plain,
( ! [X1,X0] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1)) )
& leq(pv5,minus(n999,n1))
& ! [X6] :
( ! [X7] :
( ~ leq(n0,X7)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ( ~ leq(pv5,minus(n999,n1))
| ? [X14] :
( leq(n0,X14)
& ? [X15] :
( leq(n0,X15)
& leq(X15,minus(n6,n1))
& a_select3(id_ds1_filter,X15,X14) != a_select3(id_ds1_filter,X14,X15) )
& leq(X14,minus(n6,n1)) )
| ~ leq(n0,pv5)
| ? [X17,X16] :
( a_select3(pminus_ds1_filter,X17,X16) != a_select3(pminus_ds1_filter,X16,X17)
& leq(X17,minus(n6,n1))
& leq(X16,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ? [X10,X11] :
( leq(X10,minus(n3,n1))
& leq(X11,minus(n3,n1))
& leq(n0,X11)
& a_select3(r_ds1_filter,X11,X10) != a_select3(r_ds1_filter,X10,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1))
& a_select3(q_ds1_filter,X12,X13) != a_select3(q_ds1_filter,X13,X12)
& leq(n0,X12) )
| ? [X19,X18] :
( leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(pminus_ds1_filter,X19,X18) != a_select3(pminus_ds1_filter,X18,X19)
& leq(X19,minus(n6,n1)) ) )
& ! [X9,X8] :
( ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(X8,minus(n6,n1)) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1))
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) )
& leq(n0,pv5) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ( ~ leq(n0,pv5)
| ? [X14] :
( ? [X15] :
( a_select3(id_ds1_filter,X15,X14) != a_select3(id_ds1_filter,X14,X15)
& leq(X15,minus(n6,n1))
& leq(n0,X15) )
& leq(X14,minus(n6,n1))
& leq(n0,X14) )
| ? [X11,X10] :
( a_select3(r_ds1_filter,X11,X10) != a_select3(r_ds1_filter,X10,X11)
& leq(n0,X11)
& leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(q_ds1_filter,X12,X13) != a_select3(q_ds1_filter,X13,X12)
& leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X12) )
| ? [X16,X17] :
( a_select3(pminus_ds1_filter,X17,X16) != a_select3(pminus_ds1_filter,X16,X17)
& leq(n0,X16)
& leq(X17,minus(n6,n1))
& leq(n0,X17)
& leq(X16,minus(n6,n1)) )
| ~ leq(pv5,minus(n999,n1))
| ? [X19,X18] :
( a_select3(pminus_ds1_filter,X19,X18) != a_select3(pminus_ds1_filter,X18,X19)
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(X19,minus(n6,n1))
& leq(n0,X18) ) )
& ! [X3,X2] :
( a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
& ! [X5,X4] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5) )
& leq(n0,pv5)
& ! [X6] :
( ! [X7] :
( a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6)
| ~ leq(n0,X7)
| ~ leq(X7,minus(n6,n1)) )
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8)
| ~ leq(n0,X9)
| ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X8)
| ~ leq(X8,minus(n6,n1)) )
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X3,X2] :
( ( leq(n0,X2)
& leq(X2,minus(n6,n1))
& leq(X3,minus(n6,n1))
& leq(n0,X3) )
=> a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) )
& ! [X5,X4] :
( ( leq(X4,minus(n3,n1))
& leq(X5,minus(n3,n1))
& leq(n0,X4)
& leq(n0,X5) )
=> a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& leq(n0,pv5)
& ! [X6] :
( ( leq(X6,minus(n6,n1))
& leq(n0,X6) )
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) ) )
& ! [X8,X9] :
( ( leq(n0,X9)
& leq(X9,minus(n6,n1))
& leq(n0,X8)
& leq(X8,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) )
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X1)
& leq(n0,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1) ) )
=> ( leq(n0,pv5)
& ! [X14] :
( ( leq(X14,minus(n6,n1))
& leq(n0,X14) )
=> ! [X15] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15) )
=> a_select3(id_ds1_filter,X15,X14) = a_select3(id_ds1_filter,X14,X15) ) )
& ! [X11,X10] :
( ( leq(n0,X11)
& leq(X11,minus(n3,n1))
& leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> a_select3(r_ds1_filter,X11,X10) = a_select3(r_ds1_filter,X10,X11) )
& ! [X12,X13] :
( ( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X12) )
=> a_select3(q_ds1_filter,X12,X13) = a_select3(q_ds1_filter,X13,X12) )
& ! [X16,X17] :
( ( leq(n0,X16)
& leq(X17,minus(n6,n1))
& leq(n0,X17)
& leq(X16,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X17,X16) = a_select3(pminus_ds1_filter,X16,X17) )
& leq(pv5,minus(n999,n1))
& ! [X19,X18] :
( ( leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(X19,minus(n6,n1))
& leq(n0,X18) )
=> a_select3(pminus_ds1_filter,X19,X18) = a_select3(pminus_ds1_filter,X18,X19) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv5,minus(n999,n1))
& ! [X28,X27] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28)
& leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& leq(n0,pv5)
& ! [X13,X17] :
( ( 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) )
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X3,minus(n3,n1))
& leq(X19,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n6,n1)) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X21,X20] :
( ( leq(n0,X20)
& leq(X21,minus(n6,n1))
& leq(n0,X21)
& leq(X20,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) ) )
=> ( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(X14,minus(n3,n1))
& leq(n0,X14)
& leq(X18,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) )
& ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X30,X29] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X32,X31] :
( ( leq(n0,X31)
& leq(n0,X32)
& leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv5,minus(n999,n1))
& ! [X28,X27] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28)
& leq(X27,minus(n6,n1))
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& leq(n0,pv5)
& ! [X13,X17] :
( ( 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) )
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X3,minus(n3,n1))
& leq(X19,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n6,n1)) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X21,X20] :
( ( leq(n0,X20)
& leq(X21,minus(n6,n1))
& leq(n0,X21)
& leq(X20,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) ) )
=> ( leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& ! [X18,X14] :
( ( leq(n0,X18)
& leq(X14,minus(n3,n1))
& leq(n0,X14)
& leq(X18,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X15,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X5)
& leq(X5,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) )
& ! [X33] :
( ( leq(n0,X33)
& leq(X33,minus(n6,n1)) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X30,X29] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30)
& leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X32,X31] :
( ( leq(n0,X31)
& leq(n0,X32)
& leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0008) ).
fof(f385,plain,
( ~ sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12))
| spl15_9 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f524,plain,
( ~ spl15_6
| spl15_18 ),
inference(avatar_split_clause,[],[f521,f428,f369]) ).
fof(f369,plain,
( spl15_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f428,plain,
( spl15_18
<=> leq(n0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f521,plain,
( ~ sP0
| spl15_18 ),
inference(resolution,[],[f430,f191]) ).
fof(f191,plain,
( leq(n0,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( leq(sK11,minus(n6,n1))
& leq(n0,sK10)
& leq(n0,sK11)
& a_select3(pminus_ds1_filter,sK11,sK10) != a_select3(pminus_ds1_filter,sK10,sK11)
& leq(sK10,minus(n6,n1)) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f156,f157]) ).
fof(f157,plain,
( ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X1)
& a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1)) )
=> ( leq(sK11,minus(n6,n1))
& leq(n0,sK10)
& leq(n0,sK11)
& a_select3(pminus_ds1_filter,sK11,sK10) != a_select3(pminus_ds1_filter,sK10,sK11)
& leq(sK10,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X0)
& leq(n0,X1)
& a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1)
& leq(X0,minus(n6,n1)) )
| ~ sP0 ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ? [X19,X18] :
( leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18)
& a_select3(pminus_ds1_filter,X19,X18) != a_select3(pminus_ds1_filter,X18,X19)
& leq(X19,minus(n6,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f137]) ).
fof(f430,plain,
( ~ leq(n0,sK11)
| spl15_18 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f520,plain,
( ~ spl15_6
| spl15_16 ),
inference(avatar_split_clause,[],[f516,f420,f369]) ).
fof(f420,plain,
( spl15_16
<=> leq(sK10,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f516,plain,
( ~ sP0
| spl15_16 ),
inference(resolution,[],[f422,f189]) ).
fof(f189,plain,
( leq(sK10,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f422,plain,
( ~ leq(sK10,minus(n6,n1))
| spl15_16 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f515,plain,
( ~ spl15_6
| spl15_17 ),
inference(avatar_split_clause,[],[f511,f424,f369]) ).
fof(f424,plain,
( spl15_17
<=> leq(sK11,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f511,plain,
( ~ sP0
| spl15_17 ),
inference(resolution,[],[f426,f193]) ).
fof(f193,plain,
( leq(sK11,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f426,plain,
( ~ leq(sK11,minus(n6,n1))
| spl15_17 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f509,plain,
( ~ spl15_2
| spl15_12 ),
inference(avatar_split_clause,[],[f505,f403,f353]) ).
fof(f403,plain,
( spl15_12
<=> leq(sK5,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f505,plain,
( ~ sP3
| spl15_12 ),
inference(resolution,[],[f405,f176]) ).
fof(f176,plain,
( leq(sK5,minus(n6,n1))
| ~ sP3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f405,plain,
( ~ leq(sK5,minus(n6,n1))
| spl15_12 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f503,plain,
( ~ spl15_2
| spl15_15 ),
inference(avatar_split_clause,[],[f500,f415,f353]) ).
fof(f415,plain,
( spl15_15
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f500,plain,
( ~ sP3
| spl15_15 ),
inference(resolution,[],[f417,f175]) ).
fof(f175,plain,
( leq(n0,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f417,plain,
( ~ leq(n0,sK4)
| spl15_15 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f499,plain,
( ~ spl15_7
| spl15_23 ),
inference(avatar_split_clause,[],[f495,f450,f373]) ).
fof(f450,plain,
( spl15_23
<=> leq(sK7,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f495,plain,
( ~ sP2
| spl15_23 ),
inference(resolution,[],[f452,f182]) ).
fof(f182,plain,
( leq(sK7,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f452,plain,
( ~ leq(sK7,minus(n3,n1))
| spl15_23 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f494,plain,
( ~ spl15_5
| spl15_26 ),
inference(avatar_split_clause,[],[f490,f468,f365]) ).
fof(f365,plain,
( spl15_5
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f468,plain,
( spl15_26
<=> leq(sK9,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f490,plain,
( ~ sP1
| spl15_26 ),
inference(resolution,[],[f470,f186]) ).
fof(f186,plain,
( leq(sK9,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( leq(n0,sK9)
& leq(sK8,minus(n6,n1))
& leq(sK9,minus(n6,n1))
& a_select3(q_ds1_filter,sK8,sK9) != a_select3(q_ds1_filter,sK9,sK8)
& leq(n0,sK8) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f152,f153]) ).
fof(f153,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1))
& a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1)
& leq(n0,X0) )
=> ( leq(n0,sK9)
& leq(sK8,minus(n6,n1))
& leq(sK9,minus(n6,n1))
& a_select3(q_ds1_filter,sK8,sK9) != a_select3(q_ds1_filter,sK9,sK8)
& leq(n0,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X0,X1] :
( leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1))
& a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
( ? [X12,X13] :
( leq(n0,X13)
& leq(X12,minus(n6,n1))
& leq(X13,minus(n6,n1))
& a_select3(q_ds1_filter,X12,X13) != a_select3(q_ds1_filter,X13,X12)
& leq(n0,X12) )
| ~ sP1 ),
inference(nnf_transformation,[],[f138]) ).
fof(f470,plain,
( ~ leq(sK9,minus(n6,n1))
| spl15_26 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f489,plain,
( ~ spl15_5
| spl15_25 ),
inference(avatar_split_clause,[],[f486,f464,f365]) ).
fof(f464,plain,
( spl15_25
<=> leq(n0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f486,plain,
( ~ sP1
| spl15_25 ),
inference(resolution,[],[f466,f188]) ).
fof(f188,plain,
( leq(n0,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f466,plain,
( ~ leq(n0,sK9)
| spl15_25 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f485,plain,
( ~ spl15_5
| spl15_27 ),
inference(avatar_split_clause,[],[f481,f472,f365]) ).
fof(f472,plain,
( spl15_27
<=> leq(sK8,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f481,plain,
( ~ sP1
| spl15_27 ),
inference(resolution,[],[f474,f187]) ).
fof(f187,plain,
( leq(sK8,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f474,plain,
( ~ leq(sK8,minus(n6,n1))
| spl15_27 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f479,plain,
( ~ spl15_5
| spl15_24 ),
inference(avatar_split_clause,[],[f476,f460,f365]) ).
fof(f460,plain,
( spl15_24
<=> leq(n0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f476,plain,
( ~ sP1
| spl15_24 ),
inference(resolution,[],[f462,f184]) ).
fof(f184,plain,
( leq(n0,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f462,plain,
( ~ leq(n0,sK8)
| spl15_24 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f475,plain,
( ~ spl15_24
| ~ spl15_5
| ~ spl15_25
| ~ spl15_26
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f458,f472,f468,f464,f365,f460]) ).
fof(f458,plain,
( ~ leq(sK8,minus(n6,n1))
| ~ leq(sK9,minus(n6,n1))
| ~ leq(n0,sK9)
| ~ sP1
| ~ leq(n0,sK8) ),
inference(resolution,[],[f318,f311]) ).
fof(f311,plain,
( ~ sQ14_eqProxy(a_select3(q_ds1_filter,sK8,sK9),a_select3(q_ds1_filter,sK9,sK8))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f185,f308]) ).
fof(f185,plain,
( a_select3(q_ds1_filter,sK8,sK9) != a_select3(q_ds1_filter,sK9,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f318,plain,
! [X10,X11] :
( sQ14_eqProxy(a_select3(q_ds1_filter,X10,X11),a_select3(q_ds1_filter,X11,X10))
| ~ leq(X10,minus(n6,n1))
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(equality_proxy_replacement,[],[f195,f308]) ).
fof(f195,plain,
! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(X10,minus(n6,n1))
| a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) ),
inference(cnf_transformation,[],[f162]) ).
fof(f457,plain,
( ~ spl15_6
| spl15_19 ),
inference(avatar_split_clause,[],[f454,f432,f369]) ).
fof(f432,plain,
( spl15_19
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f454,plain,
( ~ sP0
| spl15_19 ),
inference(resolution,[],[f434,f192]) ).
fof(f192,plain,
( leq(n0,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f434,plain,
( ~ leq(n0,sK10)
| spl15_19 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f453,plain,
( ~ spl15_20
| ~ spl15_21
| ~ spl15_22
| ~ spl15_23
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f436,f373,f450,f446,f442,f438]) ).
fof(f436,plain,
( ~ sP2
| ~ leq(sK7,minus(n3,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ leq(sK6,minus(n3,n1)) ),
inference(resolution,[],[f315,f310]) ).
fof(f310,plain,
( ~ sQ14_eqProxy(a_select3(r_ds1_filter,sK6,sK7),a_select3(r_ds1_filter,sK7,sK6))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f180,f308]) ).
fof(f180,plain,
( a_select3(r_ds1_filter,sK6,sK7) != a_select3(r_ds1_filter,sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f315,plain,
! [X4,X5] :
( sQ14_eqProxy(a_select3(r_ds1_filter,X4,X5),a_select3(r_ds1_filter,X5,X4))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f202,f308]) ).
fof(f202,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f162]) ).
fof(f435,plain,
( ~ spl15_6
| ~ spl15_16
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f400,f432,f428,f424,f420,f369]) ).
fof(f400,plain,
( ~ leq(n0,sK10)
| ~ leq(n0,sK11)
| ~ leq(sK11,minus(n6,n1))
| ~ leq(sK10,minus(n6,n1))
| ~ sP0 ),
inference(resolution,[],[f313,f312]) ).
fof(f312,plain,
( ~ sQ14_eqProxy(a_select3(pminus_ds1_filter,sK11,sK10),a_select3(pminus_ds1_filter,sK10,sK11))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f190,f308]) ).
fof(f190,plain,
( a_select3(pminus_ds1_filter,sK11,sK10) != a_select3(pminus_ds1_filter,sK10,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f313,plain,
! [X0,X1] :
( sQ14_eqProxy(a_select3(pminus_ds1_filter,X1,X0),a_select3(pminus_ds1_filter,X0,X1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(equality_proxy_replacement,[],[f205,f308]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f418,plain,
( ~ spl15_2
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f401,f415,f411,f407,f403,f353]) ).
fof(f401,plain,
( ~ leq(n0,sK4)
| ~ leq(n0,sK5)
| ~ leq(sK4,minus(n6,n1))
| ~ leq(sK5,minus(n6,n1))
| ~ sP3 ),
inference(resolution,[],[f313,f309]) ).
fof(f309,plain,
( ~ sQ14_eqProxy(a_select3(pminus_ds1_filter,sK4,sK5),a_select3(pminus_ds1_filter,sK5,sK4))
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f178,f308]) ).
fof(f178,plain,
( a_select3(pminus_ds1_filter,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f398,plain,
spl15_3,
inference(avatar_split_clause,[],[f194,f357]) ).
fof(f357,plain,
( spl15_3
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f194,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f162]) ).
fof(f397,plain,
( spl15_6
| ~ spl15_3
| spl15_11
| spl15_7
| ~ spl15_1
| spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f200,f365,f353,f349,f373,f394,f357,f369]) ).
fof(f349,plain,
( spl15_1
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f200,plain,
( sP1
| sP3
| ~ leq(pv5,minus(n999,n1))
| sP2
| leq(n0,sK13)
| ~ leq(n0,pv5)
| sP0 ),
inference(cnf_transformation,[],[f162]) ).
fof(f392,plain,
spl15_1,
inference(avatar_split_clause,[],[f204,f349]) ).
fof(f204,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f162]) ).
fof(f391,plain,
( spl15_5
| ~ spl15_3
| spl15_2
| spl15_6
| spl15_7
| spl15_10
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f201,f349,f388,f373,f369,f353,f357,f365]) ).
fof(f201,plain,
( ~ leq(pv5,minus(n999,n1))
| leq(n0,sK12)
| sP2
| sP0
| sP3
| ~ leq(n0,pv5)
| sP1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f386,plain,
( ~ spl15_3
| spl15_7
| spl15_2
| spl15_6
| ~ spl15_1
| ~ spl15_9
| spl15_5 ),
inference(avatar_split_clause,[],[f316,f365,f383,f349,f369,f353,f373,f357]) ).
fof(f316,plain,
( sP1
| ~ sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12))
| ~ leq(pv5,minus(n999,n1))
| sP0
| sP3
| sP2
| ~ leq(n0,pv5) ),
inference(equality_proxy_replacement,[],[f198,f308]) ).
fof(f198,plain,
( ~ leq(pv5,minus(n999,n1))
| a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12)
| ~ leq(n0,pv5)
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f162]) ).
fof(f381,plain,
( spl15_5
| spl15_7
| spl15_8
| spl15_6
| ~ spl15_3
| ~ spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f199,f353,f349,f357,f369,f378,f373,f365]) ).
fof(f199,plain,
( sP3
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| sP0
| leq(sK13,minus(n6,n1))
| sP2
| sP1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f376,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_3
| spl15_4
| spl15_5
| spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f197,f373,f369,f365,f361,f357,f353,f349]) ).
fof(f197,plain,
( sP2
| sP0
| sP1
| leq(sK12,minus(n6,n1))
| ~ leq(n0,pv5)
| sP3
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:11:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (10798)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)
% 0.19/0.54 % (10790)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)
% 0.19/0.57 % (10797)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)
% 0.19/0.57 % (10806)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57 % (10806)Instruction limit reached!
% 0.19/0.57 % (10806)------------------------------
% 0.19/0.57 % (10806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (10790)Instruction limit reached!
% 0.19/0.57 % (10790)------------------------------
% 0.19/0.57 % (10790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (10806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (10806)Termination reason: Unknown
% 0.19/0.57 % (10806)Termination phase: Preprocessing 2
% 0.19/0.57
% 0.19/0.57 % (10806)Memory used [KB]: 1535
% 0.19/0.57 % (10806)Time elapsed: 0.004 s
% 0.19/0.57 % (10806)Instructions burned: 3 (million)
% 0.19/0.57 % (10806)------------------------------
% 0.19/0.57 % (10806)------------------------------
% 0.19/0.57 % (10790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (10790)Termination reason: Unknown
% 0.19/0.57 % (10790)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (10790)Memory used [KB]: 1791
% 0.19/0.57 % (10790)Time elapsed: 0.013 s
% 0.19/0.57 % (10790)Instructions burned: 14 (million)
% 0.19/0.57 % (10790)------------------------------
% 0.19/0.57 % (10790)------------------------------
% 0.19/0.58 % (10792)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)
% 0.19/0.58 % (10816)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)
% 0.19/0.58 % (10795)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)
% 0.19/0.58 % (10808)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)
% 0.19/0.59 % (10791)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)
% 0.19/0.59 % (10789)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.59 % (10793)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)
% 0.19/0.59 % (10794)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)
% 0.19/0.59 % (10796)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)
% 0.19/0.60 % (10808)First to succeed.
% 0.19/0.60 % (10812)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)
% 0.19/0.61 % (10791)Instruction limit reached!
% 0.19/0.61 % (10791)------------------------------
% 0.19/0.61 % (10791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (10791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (10791)Termination reason: Unknown
% 0.19/0.61 % (10791)Termination phase: Preprocessing 3
% 0.19/0.61
% 0.19/0.61 % (10791)Memory used [KB]: 1663
% 0.19/0.61 % (10791)Time elapsed: 0.005 s
% 0.19/0.61 % (10791)Instructions burned: 4 (million)
% 0.19/0.61 % (10791)------------------------------
% 0.19/0.61 % (10791)------------------------------
% 0.19/0.61 % (10802)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)
% 0.19/0.61 % (10798)Instruction limit reached!
% 0.19/0.61 % (10798)------------------------------
% 0.19/0.61 % (10798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (10798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (10798)Termination reason: Unknown
% 0.19/0.61 % (10798)Termination phase: Saturation
% 0.19/0.61
% 0.19/0.61 % (10798)Memory used [KB]: 6524
% 0.19/0.61 % (10798)Time elapsed: 0.186 s
% 0.19/0.61 % (10798)Instructions burned: 34 (million)
% 0.19/0.61 % (10798)------------------------------
% 0.19/0.61 % (10798)------------------------------
% 0.19/0.61 % (10801)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)
% 0.19/0.61 % (10793)Instruction limit reached!
% 0.19/0.61 % (10793)------------------------------
% 0.19/0.61 % (10793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (10793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (10793)Termination reason: Unknown
% 0.19/0.61 % (10793)Termination phase: Property scanning
% 0.19/0.61
% 0.19/0.61 % (10793)Memory used [KB]: 2174
% 0.19/0.61 % (10793)Time elapsed: 0.010 s
% 0.19/0.61 % (10793)Instructions burned: 13 (million)
% 0.19/0.61 % (10793)------------------------------
% 0.19/0.61 % (10793)------------------------------
% 0.19/0.61 % (10799)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 % (10818)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)
% 0.19/0.62 % (10804)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 % (10815)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)
% 0.19/0.62 % (10817)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)
% 0.19/0.62 % (10808)Refutation found. Thanks to Tanya!
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.62 % (10808)------------------------------
% 0.19/0.62 % (10808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (10808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (10808)Termination reason: Refutation
% 0.19/0.62
% 0.19/0.62 % (10808)Memory used [KB]: 6268
% 0.19/0.62 % (10808)Time elapsed: 0.167 s
% 0.19/0.62 % (10808)Instructions burned: 10 (million)
% 0.19/0.62 % (10808)------------------------------
% 0.19/0.62 % (10808)------------------------------
% 0.19/0.62 % (10788)Success in time 0.26 s
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