TSTP Solution File: SWV114+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV114+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 : n006.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 2.52s 0.72s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 118 ( 12 unt; 0 def)
% Number of atoms : 635 ( 89 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 745 ( 228 ~; 228 |; 243 &)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 154 ( 106 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f781,plain,
$false,
inference(avatar_sat_refutation,[],[f323,f328,f329,f334,f339,f344,f345,f426,f545,f707,f780]) ).
fof(f780,plain,
( ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f762,f333]) ).
fof(f333,plain,
( a_select3(pminus_ds1_filter,sK10,sK9) != a_select3(pminus_ds1_filter,sK9,sK10)
| spl11_8 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl11_8
<=> a_select3(pminus_ds1_filter,sK10,sK9) = a_select3(pminus_ds1_filter,sK9,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f762,plain,
( a_select3(pminus_ds1_filter,sK10,sK9) = a_select3(pminus_ds1_filter,sK9,sK10)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(unit_resulting_resolution,[],[f338,f327,f318,f343,f184]) ).
fof(f184,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1)) )
& ( ( a_select3(pminus_ds1_filter,sK10,sK9) != a_select3(pminus_ds1_filter,sK9,sK10)
& leq(n0,sK10)
& leq(n0,sK9)
& leq(sK9,minus(n6,n1))
& leq(sK10,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP2
| ~ leq(pv5,minus(n999,n1))
| sP1
| sP0 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f153,f154]) ).
fof(f154,plain,
( ? [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) != a_select3(pminus_ds1_filter,X3,X2)
& leq(n0,X3)
& leq(n0,X2)
& leq(X2,minus(n6,n1))
& leq(X3,minus(n6,n1)) )
=> ( a_select3(pminus_ds1_filter,sK10,sK9) != a_select3(pminus_ds1_filter,sK9,sK10)
& leq(n0,sK10)
& leq(n0,sK9)
& leq(sK9,minus(n6,n1))
& leq(sK10,minus(n6,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ! [X0,X1] :
( ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1)) )
& ( ? [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) != a_select3(pminus_ds1_filter,X3,X2)
& leq(n0,X3)
& leq(n0,X2)
& leq(X2,minus(n6,n1))
& leq(X3,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP2
| ~ leq(pv5,minus(n999,n1))
| sP1
| sP0 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1)) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
( ! [X3,X2] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X2,minus(n6,n1)) )
& ( ? [X13,X12] :
( a_select3(pminus_ds1_filter,X13,X12) != a_select3(pminus_ds1_filter,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1)) )
| ~ leq(n0,pv5)
| sP2
| ~ leq(pv5,minus(n999,n1))
| sP1
| sP0 )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X4] :
( ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) )
& ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(X1,minus(n6,n1)) ) ),
inference(definition_folding,[],[f126,f138,f137,f136]) ).
fof(f136,plain,
( ? [X10] :
( leq(n0,X10)
& ? [X11] :
( leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10) )
& leq(X10,minus(n0,n1)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f137,plain,
( ? [X9,X8] :
( leq(X8,minus(n6,n1))
& leq(n0,X8)
& leq(X9,minus(n6,n1))
& a_select3(q_ds1_filter,X9,X8) != a_select3(q_ds1_filter,X8,X9)
& leq(n0,X9) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f138,plain,
( ? [X7,X6] :
( leq(X7,minus(n3,n1))
& leq(X6,minus(n3,n1))
& a_select3(r_ds1_filter,X7,X6) != a_select3(r_ds1_filter,X6,X7)
& leq(n0,X6)
& leq(n0,X7) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f126,plain,
( ! [X3,X2] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X2,minus(n6,n1)) )
& ( ? [X13,X12] :
( a_select3(pminus_ds1_filter,X13,X12) != a_select3(pminus_ds1_filter,X12,X13)
& leq(n0,X12)
& leq(n0,X13)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1)) )
| ~ leq(n0,pv5)
| ? [X7,X6] :
( leq(X7,minus(n3,n1))
& leq(X6,minus(n3,n1))
& a_select3(r_ds1_filter,X7,X6) != a_select3(r_ds1_filter,X6,X7)
& leq(n0,X6)
& leq(n0,X7) )
| ~ leq(pv5,minus(n999,n1))
| ? [X9,X8] :
( leq(X8,minus(n6,n1))
& leq(n0,X8)
& leq(X9,minus(n6,n1))
& a_select3(q_ds1_filter,X9,X8) != a_select3(q_ds1_filter,X8,X9)
& leq(n0,X9) )
| ? [X10] :
( leq(n0,X10)
& ? [X11] :
( leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10) )
& leq(X10,minus(n0,n1)) ) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X4] :
( ~ leq(n0,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) )
& ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1)
| ~ leq(X1,minus(n6,n1)) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
( ( ? [X9,X8] :
( a_select3(q_ds1_filter,X9,X8) != a_select3(q_ds1_filter,X8,X9)
& leq(n0,X8)
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(X9,minus(n6,n1)) )
| ? [X13,X12] :
( a_select3(pminus_ds1_filter,X13,X12) != a_select3(pminus_ds1_filter,X12,X13)
& leq(n0,X13)
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1)) )
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(n0,X11)
& leq(X11,minus(n6,n1)) )
& leq(n0,X10)
& leq(X10,minus(n0,n1)) )
| ? [X6,X7] :
( a_select3(r_ds1_filter,X7,X6) != a_select3(r_ds1_filter,X6,X7)
& leq(X6,minus(n3,n1))
& leq(n0,X6)
& leq(X7,minus(n3,n1))
& leq(n0,X7) ) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4) )
& leq(n0,pv5)
& 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(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X3,X2] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X4,X5] :
( ( leq(X4,minus(n3,n1))
& leq(n0,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X0,X1] :
( ( leq(n0,X1)
& leq(X0,minus(n6,n1))
& leq(X1,minus(n6,n1))
& leq(n0,X0) )
=> a_select3(pminus_ds1_filter,X1,X0) = a_select3(pminus_ds1_filter,X0,X1) )
& ! [X3,X2] :
( ( leq(X2,minus(n6,n1))
& leq(X3,minus(n6,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ) )
=> ( ! [X9,X8] :
( ( leq(n0,X8)
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(X9,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X9,X8) = a_select3(q_ds1_filter,X8,X9) )
& ! [X13,X12] :
( ( leq(n0,X13)
& leq(n0,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X13,X12) = a_select3(pminus_ds1_filter,X12,X13) )
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n0,n1)) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X6,X7] :
( ( leq(X6,minus(n3,n1))
& leq(n0,X6)
& leq(X7,minus(n3,n1))
& leq(n0,X7) )
=> a_select3(r_ds1_filter,X7,X6) = a_select3(r_ds1_filter,X6,X7) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X21,X20] :
( ( leq(X20,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& leq(n0,pv5)
& ! [X17,X13] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17)
& leq(X13,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(n0,X3)
& leq(X3,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ( leq(pv5,minus(n999,n1))
& ! [X4,X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1))
& leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X28)
& leq(X27,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) )
& leq(n0,pv5)
& ! [X18] :
( ( leq(X18,minus(n0,n1))
& leq(n0,X18) )
=> ! [X14] :
( ( leq(n0,X14)
& leq(X14,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X18,X14) = a_select3(id_ds1_filter,X14,X18) ) )
& ! [X5,X15] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X5) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X21,X20] :
( ( leq(X20,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& leq(n0,pv5)
& ! [X17,X13] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17)
& leq(X13,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(n0,X3)
& leq(X3,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ( leq(pv5,minus(n999,n1))
& ! [X4,X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1))
& leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X27)
& leq(n0,X28)
& leq(X27,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) )
& leq(n0,pv5)
& ! [X18] :
( ( leq(X18,minus(n0,n1))
& leq(n0,X18) )
=> ! [X14] :
( ( leq(n0,X14)
& leq(X14,minus(n6,n1)) )
=> a_select3(id_ds1_filter,X18,X14) = a_select3(id_ds1_filter,X14,X18) ) )
& ! [X5,X15] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X5) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0007) ).
fof(f343,plain,
( leq(sK10,minus(n6,n1))
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl11_10
<=> leq(sK10,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f318,plain,
( leq(sK9,minus(n6,n1))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl11_5
<=> leq(sK9,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f327,plain,
( leq(n0,sK10)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl11_7
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f338,plain,
( leq(n0,sK9)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl11_9
<=> leq(n0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f707,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f688,f227]) ).
fof(f227,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f688,plain,
( gt(n0,n0)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f584,f665]) ).
fof(f665,plain,
( n0 = sK7
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f549,f618,f226]) ).
fof(f226,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f618,plain,
( leq(sK7,n0)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f584,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X1,X0] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f549,plain,
( leq(n0,sK7)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f302,f183]) ).
fof(f183,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( leq(n0,sK7)
& leq(n0,sK8)
& leq(sK8,minus(n6,n1))
& a_select3(id_ds1_filter,sK8,sK7) != a_select3(id_ds1_filter,sK7,sK8)
& leq(sK7,minus(n0,n1)) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f149,f151,f150]) ).
fof(f150,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(id_ds1_filter,X1,X0) != a_select3(id_ds1_filter,X0,X1) )
& leq(X0,minus(n0,n1)) )
=> ( leq(n0,sK7)
& ? [X1] :
( leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(id_ds1_filter,X1,sK7) != a_select3(id_ds1_filter,sK7,X1) )
& leq(sK7,minus(n0,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X1] :
( leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(id_ds1_filter,X1,sK7) != a_select3(id_ds1_filter,sK7,X1) )
=> ( leq(n0,sK8)
& leq(sK8,minus(n6,n1))
& a_select3(id_ds1_filter,sK8,sK7) != a_select3(id_ds1_filter,sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& leq(X1,minus(n6,n1))
& a_select3(id_ds1_filter,X1,X0) != a_select3(id_ds1_filter,X0,X1) )
& leq(X0,minus(n0,n1)) )
| ~ sP0 ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ? [X10] :
( leq(n0,X10)
& ? [X11] :
( leq(n0,X11)
& leq(X11,minus(n6,n1))
& a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10) )
& leq(X10,minus(n0,n1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f136]) ).
fof(f302,plain,
( sP0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl11_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f584,plain,
( gt(n0,sK7)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f547,f292]) ).
fof(f292,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f241,f213]) ).
fof(f213,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(f241,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X1,X0] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( leq(X1,pred(X0))
<=> gt(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f547,plain,
( leq(sK7,minus(n0,n1))
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f302,f179]) ).
fof(f179,plain,
( leq(sK7,minus(n0,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f545,plain,
~ spl11_6,
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f525,f429]) ).
fof(f429,plain,
( a_select3(q_ds1_filter,sK5,sK6) != a_select3(q_ds1_filter,sK6,sK5)
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f322,f175]) ).
fof(f175,plain,
( a_select3(q_ds1_filter,sK5,sK6) != a_select3(q_ds1_filter,sK6,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( leq(sK6,minus(n6,n1))
& leq(n0,sK6)
& leq(sK5,minus(n6,n1))
& a_select3(q_ds1_filter,sK5,sK6) != a_select3(q_ds1_filter,sK6,sK5)
& leq(n0,sK5) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f145,f146]) ).
fof(f146,plain,
( ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0) )
=> ( leq(sK6,minus(n6,n1))
& leq(n0,sK6)
& leq(sK5,minus(n6,n1))
& a_select3(q_ds1_filter,sK5,sK6) != a_select3(q_ds1_filter,sK6,sK5)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& leq(X0,minus(n6,n1))
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( ? [X9,X8] :
( leq(X8,minus(n6,n1))
& leq(n0,X8)
& leq(X9,minus(n6,n1))
& a_select3(q_ds1_filter,X9,X8) != a_select3(q_ds1_filter,X8,X9)
& leq(n0,X9) )
| ~ sP1 ),
inference(nnf_transformation,[],[f137]) ).
fof(f322,plain,
( sP1
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl11_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f525,plain,
( a_select3(q_ds1_filter,sK5,sK6) = a_select3(q_ds1_filter,sK6,sK5)
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f430,f428,f427,f431,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f431,plain,
( leq(sK6,minus(n6,n1))
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f322,f178]) ).
fof(f178,plain,
( leq(sK6,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f427,plain,
( leq(sK5,minus(n6,n1))
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f322,f176]) ).
fof(f176,plain,
( leq(sK5,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f428,plain,
( leq(n0,sK5)
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f322,f174]) ).
fof(f174,plain,
( leq(n0,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f430,plain,
( leq(n0,sK6)
| ~ spl11_6 ),
inference(unit_resulting_resolution,[],[f322,f177]) ).
fof(f177,plain,
( leq(n0,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f426,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f410,f347]) ).
fof(f347,plain,
( a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3)
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f306,f171]) ).
fof(f171,plain,
( a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( leq(sK3,minus(n3,n1))
& leq(sK4,minus(n3,n1))
& a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3)
& leq(n0,sK4)
& leq(n0,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f141,f142]) ).
fof(f142,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1))
& a_select3(r_ds1_filter,X1,X0) != a_select3(r_ds1_filter,X0,X1)
& leq(n0,X1)
& leq(n0,X0) )
=> ( leq(sK3,minus(n3,n1))
& leq(sK4,minus(n3,n1))
& a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3)
& leq(n0,sK4)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X0,X1] :
( leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1))
& a_select3(r_ds1_filter,X1,X0) != a_select3(r_ds1_filter,X0,X1)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ? [X7,X6] :
( leq(X7,minus(n3,n1))
& leq(X6,minus(n3,n1))
& a_select3(r_ds1_filter,X7,X6) != a_select3(r_ds1_filter,X6,X7)
& leq(n0,X6)
& leq(n0,X7) )
| ~ sP2 ),
inference(nnf_transformation,[],[f138]) ).
fof(f306,plain,
( sP2
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl11_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f410,plain,
( a_select3(r_ds1_filter,sK3,sK4) = a_select3(r_ds1_filter,sK4,sK3)
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f348,f346,f349,f350,f185]) ).
fof(f185,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5)
| ~ leq(X4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f350,plain,
( leq(sK4,minus(n3,n1))
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f306,f172]) ).
fof(f172,plain,
( leq(sK4,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f349,plain,
( leq(sK3,minus(n3,n1))
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f306,f173]) ).
fof(f173,plain,
( leq(sK3,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f346,plain,
( leq(n0,sK3)
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f306,f169]) ).
fof(f169,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f348,plain,
( leq(n0,sK4)
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f306,f170]) ).
fof(f170,plain,
( leq(n0,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f345,plain,
spl11_4,
inference(avatar_split_clause,[],[f187,f312]) ).
fof(f312,plain,
( spl11_4
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f187,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f155]) ).
fof(f344,plain,
( ~ spl11_3
| spl11_2
| spl11_6
| spl11_1
| ~ spl11_4
| spl11_10 ),
inference(avatar_split_clause,[],[f188,f341,f312,f300,f320,f304,f308]) ).
fof(f308,plain,
( spl11_3
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f188,plain,
( leq(sK10,minus(n6,n1))
| ~ leq(n0,pv5)
| sP0
| sP1
| sP2
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f339,plain,
( spl11_1
| spl11_2
| spl11_6
| spl11_9
| ~ spl11_4
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f190,f308,f312,f336,f320,f304,f300]) ).
fof(f190,plain,
( ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| leq(n0,sK9)
| sP1
| sP2
| sP0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f334,plain,
( ~ spl11_8
| ~ spl11_3
| spl11_1
| spl11_6
| ~ spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f192,f304,f312,f320,f300,f308,f331]) ).
fof(f192,plain,
( sP2
| ~ leq(n0,pv5)
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| a_select3(pminus_ds1_filter,sK10,sK9) != a_select3(pminus_ds1_filter,sK9,sK10) ),
inference(cnf_transformation,[],[f155]) ).
fof(f329,plain,
spl11_3,
inference(avatar_split_clause,[],[f186,f308]) ).
fof(f186,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f328,plain,
( ~ spl11_3
| ~ spl11_4
| spl11_6
| spl11_7
| spl11_2
| spl11_1 ),
inference(avatar_split_clause,[],[f191,f300,f304,f325,f320,f312,f308]) ).
fof(f191,plain,
( sP0
| sP2
| leq(n0,sK10)
| sP1
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f323,plain,
( spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_4
| spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f189,f320,f316,f312,f308,f304,f300]) ).
fof(f189,plain,
( sP1
| leq(sK9,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| sP2
| sP0 ),
inference(cnf_transformation,[],[f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV114+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:00:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (9861)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)
% 0.21/0.51 % (9861)Instruction limit reached!
% 0.21/0.51 % (9861)------------------------------
% 0.21/0.51 % (9861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (9877)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)
% 0.21/0.51 % (9877)Instruction limit reached!
% 0.21/0.51 % (9877)------------------------------
% 0.21/0.51 % (9877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (9869)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)
% 0.21/0.52 % (9861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (9861)Termination reason: Unknown
% 0.21/0.52 % (9861)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (9861)Memory used [KB]: 1918
% 0.21/0.52 % (9861)Time elapsed: 0.011 s
% 0.21/0.52 % (9861)Instructions burned: 16 (million)
% 0.21/0.52 % (9861)------------------------------
% 0.21/0.52 % (9861)------------------------------
% 0.21/0.52 % (9877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (9877)Termination reason: Unknown
% 0.21/0.52 % (9877)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (9877)Memory used [KB]: 1663
% 0.21/0.52 % (9877)Time elapsed: 0.007 s
% 0.21/0.52 % (9877)Instructions burned: 10 (million)
% 0.21/0.52 % (9877)------------------------------
% 0.21/0.52 % (9877)------------------------------
% 0.21/0.52 % (9862)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)
% 0.21/0.54 % (9869)Instruction limit reached!
% 0.21/0.54 % (9869)------------------------------
% 0.21/0.54 % (9869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (9869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (9869)Termination reason: Unknown
% 0.21/0.54 % (9869)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (9869)Memory used [KB]: 6524
% 0.21/0.54 % (9869)Time elapsed: 0.129 s
% 0.21/0.54 % (9869)Instructions burned: 30 (million)
% 0.21/0.54 % (9869)------------------------------
% 0.21/0.54 % (9869)------------------------------
% 1.39/0.57 % (9854)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)
% 1.64/0.58 % (9878)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)
% 1.64/0.59 % (9870)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)
% 1.64/0.59 % (9860)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)
% 1.64/0.60 % (9854)Instruction limit reached!
% 1.64/0.60 % (9854)------------------------------
% 1.64/0.60 % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (9854)Termination reason: Unknown
% 1.64/0.60 % (9854)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (9854)Memory used [KB]: 1663
% 1.64/0.60 % (9854)Time elapsed: 0.165 s
% 1.64/0.60 % (9854)Instructions burned: 15 (million)
% 1.64/0.60 % (9854)------------------------------
% 1.64/0.60 % (9854)------------------------------
% 1.64/0.61 % (9851)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)
% 1.64/0.61 % (9851)Instruction limit reached!
% 1.64/0.61 % (9851)------------------------------
% 1.64/0.61 % (9851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (9851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (9851)Termination reason: Unknown
% 1.64/0.61 % (9851)Termination phase: Preprocessing 3
% 1.64/0.61
% 1.64/0.61 % (9851)Memory used [KB]: 1535
% 1.64/0.61 % (9851)Time elapsed: 0.004 s
% 1.64/0.61 % (9851)Instructions burned: 3 (million)
% 1.64/0.61 % (9851)------------------------------
% 1.64/0.61 % (9851)------------------------------
% 1.64/0.61 % (9853)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)
% 1.64/0.62 % (9860)Instruction limit reached!
% 1.64/0.62 % (9860)------------------------------
% 1.64/0.62 % (9860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (9860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (9860)Termination reason: Unknown
% 1.64/0.62 % (9860)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (9860)Memory used [KB]: 6140
% 1.64/0.62 % (9860)Time elapsed: 0.008 s
% 1.64/0.62 % (9860)Instructions burned: 7 (million)
% 1.64/0.62 % (9860)------------------------------
% 1.64/0.62 % (9860)------------------------------
% 1.64/0.62 % (9897)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.64/0.63 % (9875)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)
% 1.64/0.63 % (9897)Instruction limit reached!
% 1.64/0.63 % (9897)------------------------------
% 1.64/0.63 % (9897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.63 % (9868)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)
% 1.64/0.63 % (9897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.63 % (9897)Termination reason: Unknown
% 1.64/0.63 % (9897)Termination phase: Saturation
% 1.64/0.63
% 1.64/0.63 % (9897)Memory used [KB]: 10618
% 1.64/0.63 % (9897)Time elapsed: 0.013 s
% 1.64/0.63 % (9897)Instructions burned: 7 (million)
% 1.64/0.63 % (9897)------------------------------
% 1.64/0.63 % (9897)------------------------------
% 1.64/0.63 % (9878)Instruction limit reached!
% 1.64/0.63 % (9878)------------------------------
% 1.64/0.63 % (9878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.63 % (9878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.63 % (9878)Termination reason: Unknown
% 1.64/0.63 % (9878)Termination phase: Function definition elimination
% 1.64/0.63
% 1.64/0.63 % (9878)Memory used [KB]: 1663
% 1.64/0.63 % (9878)Time elapsed: 0.016 s
% 1.64/0.63 % (9878)Instructions burned: 24 (million)
% 1.64/0.63 % (9878)------------------------------
% 1.64/0.63 % (9878)------------------------------
% 1.64/0.63 % (9849)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.64/0.63 % (9852)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)
% 1.64/0.64 % (9853)Instruction limit reached!
% 1.64/0.64 % (9853)------------------------------
% 1.64/0.64 % (9853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.64 % (9853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.64 % (9853)Termination reason: Unknown
% 1.64/0.64 % (9853)Termination phase: Property scanning
% 1.64/0.64
% 1.64/0.64 % (9853)Memory used [KB]: 1663
% 1.64/0.64 % (9853)Time elapsed: 0.009 s
% 1.64/0.64 % (9853)Instructions burned: 13 (million)
% 1.64/0.64 % (9853)------------------------------
% 1.64/0.64 % (9853)------------------------------
% 1.64/0.64 % (9858)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)
% 1.64/0.64 % (9863)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)
% 1.64/0.64 % (9871)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)
% 1.64/0.65 % (9898)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 (2998ds/87Mi)
% 1.64/0.65 % (9859)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)
% 1.64/0.65 % (9872)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)
% 1.64/0.65 % (9865)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)
% 1.64/0.65 % (9868)Refutation not found, incomplete strategy% (9868)------------------------------
% 1.64/0.65 % (9868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.65 % (9868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.65 % (9868)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.65
% 1.64/0.65 % (9868)Memory used [KB]: 6140
% 1.64/0.65 % (9868)Time elapsed: 0.210 s
% 1.64/0.65 % (9868)Instructions burned: 7 (million)
% 1.64/0.65 % (9868)------------------------------
% 1.64/0.65 % (9868)------------------------------
% 1.64/0.65 % (9873)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)
% 1.64/0.66 % (9855)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)
% 1.64/0.66 % (9850)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)
% 1.64/0.66 % (9856)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)
% 1.64/0.66 % (9866)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.64/0.66 % (9866)Instruction limit reached!
% 1.64/0.66 % (9866)------------------------------
% 1.64/0.66 % (9866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.66 % (9866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.66 % (9866)Termination reason: Unknown
% 1.64/0.66 % (9866)Termination phase: Preprocessing 3
% 1.64/0.66
% 1.64/0.66 % (9866)Memory used [KB]: 1663
% 1.64/0.66 % (9866)Time elapsed: 0.005 s
% 1.64/0.66 % (9866)Instructions burned: 4 (million)
% 1.64/0.66 % (9866)------------------------------
% 1.64/0.66 % (9866)------------------------------
% 1.64/0.66 % (9876)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)
% 1.64/0.67 % (9863)Instruction limit reached!
% 1.64/0.67 % (9863)------------------------------
% 1.64/0.67 % (9863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.67 % (9863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.67 % (9863)Termination reason: Unknown
% 1.64/0.67 % (9863)Termination phase: Preprocessing 3
% 1.64/0.67
% 1.64/0.67 % (9863)Memory used [KB]: 1663
% 1.64/0.67 % (9863)Time elapsed: 0.004 s
% 1.64/0.67 % (9863)Instructions burned: 4 (million)
% 1.64/0.67 % (9863)------------------------------
% 1.64/0.67 % (9863)------------------------------
% 1.64/0.67 % (9852)Refutation not found, incomplete strategy% (9852)------------------------------
% 1.64/0.67 % (9852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.67 % (9852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.67 % (9852)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.67
% 1.64/0.67 % (9852)Memory used [KB]: 6268
% 1.64/0.67 % (9852)Time elapsed: 0.230 s
% 1.64/0.67 % (9852)Instructions burned: 13 (million)
% 1.64/0.67 % (9852)------------------------------
% 1.64/0.67 % (9852)------------------------------
% 1.64/0.67 % (9864)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)
% 2.31/0.67 % (9867)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)
% 2.31/0.67 % (9859)Instruction limit reached!
% 2.31/0.67 % (9859)------------------------------
% 2.31/0.67 % (9859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (9859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (9859)Termination reason: Unknown
% 2.31/0.67 % (9859)Termination phase: Saturation
% 2.31/0.67
% 2.31/0.67 % (9859)Memory used [KB]: 6268
% 2.31/0.67 % (9859)Time elapsed: 0.224 s
% 2.31/0.67 % (9859)Instructions burned: 13 (million)
% 2.31/0.67 % (9859)------------------------------
% 2.31/0.67 % (9859)------------------------------
% 2.31/0.67 % (9867)Instruction limit reached!
% 2.31/0.67 % (9867)------------------------------
% 2.31/0.67 % (9867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (9867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (9867)Termination reason: Unknown
% 2.31/0.67 % (9867)Termination phase: Preprocessing 3
% 2.31/0.67
% 2.31/0.67 % (9867)Memory used [KB]: 1535
% 2.31/0.67 % (9867)Time elapsed: 0.004 s
% 2.31/0.67 % (9867)Instructions burned: 3 (million)
% 2.31/0.67 % (9867)------------------------------
% 2.31/0.67 % (9867)------------------------------
% 2.31/0.67 % (9864)Instruction limit reached!
% 2.31/0.67 % (9864)------------------------------
% 2.31/0.67 % (9864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (9864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (9864)Termination reason: Unknown
% 2.31/0.67 % (9864)Termination phase: Function definition elimination
% 2.31/0.67
% 2.31/0.67 % (9864)Memory used [KB]: 1663
% 2.31/0.67 % (9864)Time elapsed: 0.007 s
% 2.31/0.67 % (9864)Instructions burned: 7 (million)
% 2.31/0.67 % (9864)------------------------------
% 2.31/0.67 % (9864)------------------------------
% 2.31/0.67 % (9874)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)
% 2.31/0.67 % (9862)Instruction limit reached!
% 2.31/0.67 % (9862)------------------------------
% 2.31/0.67 % (9862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (9862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (9862)Termination reason: Unknown
% 2.31/0.67 % (9862)Termination phase: Saturation
% 2.31/0.67
% 2.31/0.67 % (9862)Memory used [KB]: 7036
% 2.31/0.67 % (9862)Time elapsed: 0.231 s
% 2.31/0.67 % (9862)Instructions burned: 51 (million)
% 2.31/0.67 % (9862)------------------------------
% 2.31/0.67 % (9862)------------------------------
% 2.31/0.68 % (9850)Instruction limit reached!
% 2.31/0.68 % (9850)------------------------------
% 2.31/0.68 % (9850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (9850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (9850)Termination reason: Unknown
% 2.31/0.68 % (9850)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (9850)Memory used [KB]: 1791
% 2.31/0.68 % (9850)Time elapsed: 0.011 s
% 2.31/0.68 % (9850)Instructions burned: 13 (million)
% 2.31/0.68 % (9850)------------------------------
% 2.31/0.68 % (9850)------------------------------
% 2.31/0.68 % (9857)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)
% 2.43/0.71 % (9865)Refutation not found, incomplete strategy% (9865)------------------------------
% 2.43/0.71 % (9865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (9865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (9865)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.71
% 2.43/0.71 % (9865)Memory used [KB]: 6780
% 2.43/0.71 % (9865)Time elapsed: 0.235 s
% 2.43/0.71 % (9865)Instructions burned: 23 (million)
% 2.43/0.71 % (9865)------------------------------
% 2.43/0.71 % (9865)------------------------------
% 2.43/0.71 % (9858)First to succeed.
% 2.52/0.72 % (9858)Refutation found. Thanks to Tanya!
% 2.52/0.72 % SZS status Theorem for theBenchmark
% 2.52/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.72 % (9858)------------------------------
% 2.52/0.72 % (9858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72 % (9858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72 % (9858)Termination reason: Refutation
% 2.52/0.72
% 2.52/0.72 % (9858)Memory used [KB]: 6524
% 2.52/0.72 % (9858)Time elapsed: 0.274 s
% 2.52/0.72 % (9858)Instructions burned: 23 (million)
% 2.52/0.72 % (9858)------------------------------
% 2.52/0.72 % (9858)------------------------------
% 2.52/0.72 % (9848)Success in time 0.342 s
%------------------------------------------------------------------------------