TSTP Solution File: SWV116+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 : Sun May 5 10:28:07 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 4 unt; 0 def)
% Number of atoms : 575 ( 79 equ)
% Maximal formula atoms : 42 ( 6 avg)
% Number of connectives : 733 ( 242 ~; 230 |; 220 &)
% ( 8 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 146 ( 112 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[f284,f289,f294,f299,f304,f320,f343,f355]) ).
fof(f355,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f353,f275]) ).
fof(f275,plain,
( sP0
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl9_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f353,plain,
( ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f352,f344]) ).
fof(f344,plain,
( leq(n0,sK4)
| ~ spl9_1 ),
inference(resolution,[],[f275,f153]) ).
fof(f153,plain,
( ~ sP0
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f139,f140]) ).
fof(f140,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
( ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP0 ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
( ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f352,plain,
( ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f351,f345]) ).
fof(f345,plain,
( leq(n0,sK5)
| ~ spl9_1 ),
inference(resolution,[],[f275,f154]) ).
fof(f154,plain,
( ~ sP0
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f141]) ).
fof(f351,plain,
( ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f350,f346]) ).
fof(f346,plain,
( leq(sK4,minus(n6,n1))
| ~ spl9_1 ),
inference(resolution,[],[f275,f155]) ).
fof(f155,plain,
( ~ sP0
| leq(sK4,minus(n6,n1)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f350,plain,
( ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f349,f347]) ).
fof(f347,plain,
( leq(sK5,minus(n6,n1))
| ~ spl9_1 ),
inference(resolution,[],[f275,f156]) ).
fof(f156,plain,
( ~ sP0
| leq(sK5,minus(n6,n1)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f349,plain,
( ~ leq(sK5,minus(n6,n1))
| ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0 ),
inference(resolution,[],[f252,f246]) ).
fof(f246,plain,
( ~ sQ8_eqProxy(a_select3(q_ds1_filter,sK4,sK5),a_select3(q_ds1_filter,sK5,sK4))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f157,f244]) ).
fof(f244,plain,
! [X0,X1] :
( sQ8_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ8_eqProxy])]) ).
fof(f157,plain,
( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f252,plain,
! [X10,X11] :
( sQ8_eqProxy(a_select3(q_ds1_filter,X10,X11),a_select3(q_ds1_filter,X11,X10))
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(equality_proxy_replacement,[],[f160,f244]) ).
fof(f160,plain,
! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& leq(n0,sK6) )
| sP1
| sP0 )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f142,f143]) ).
fof(f143,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| sP1
| sP0 )
& ! [X2] :
( ! [X3] :
( a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3) )
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10)
| ~ leq(X11,minus(n6,n1))
| ~ leq(X10,minus(n6,n1))
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
( ( ? [X10,X11] :
( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| sP1
| sP0 )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(definition_folding,[],[f106,f132,f131]) ).
fof(f132,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f106,plain,
( ( ? [X10,X11] :
( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) ) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ( ? [X10,X11] :
( a_select3(pminus_ds1_filter,X10,X11) != a_select3(pminus_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(q_ds1_filter,X14,X15) != a_select3(q_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) ) )
& ! [X0] :
( ! [X1] :
( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X1) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X7,minus(n3,n1))
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X9,minus(n6,n1))
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(n6,n1))
& 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) ) )
& ! [X2,X3] :
( ( leq(X3,minus(n6,n1))
& leq(X2,minus(n6,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(X7,minus(n3,n1))
& leq(X6,minus(n3,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(X9,minus(n6,n1))
& leq(X8,minus(n6,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(pminus_ds1_filter,X10,X11) = a_select3(pminus_ds1_filter,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X15) = a_select3(q_ds1_filter,X15,X14) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n3,n1))
& leq(X18,minus(n3,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X4] :
( ( leq(X4,minus(n6,n1))
& leq(n0,X4) )
=> ! [X10] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> a_select3(id_ds1_filter,X4,X10) = a_select3(id_ds1_filter,X10,X4) ) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(pminus_ds1_filter,X27,X28) = a_select3(pminus_ds1_filter,X28,X27) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X29,X30] :
( ( leq(X30,minus(n6,n1))
& leq(X29,minus(n6,n1))
& leq(n0,X30)
& leq(n0,X29) )
=> a_select3(pminus_ds1_filter,X29,X30) = a_select3(pminus_ds1_filter,X30,X29) )
& ! [X18,X14] :
( ( leq(X14,minus(n3,n1))
& leq(X18,minus(n3,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(r_ds1_filter,X18,X14) = a_select3(r_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(q_ds1_filter,X15,X5) = a_select3(q_ds1_filter,X5,X15) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QJK36ftOaL/Vampire---4.8_28989',quaternion_ds1_symm_0009) ).
fof(f343,plain,
( ~ spl9_7
| spl9_3
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f326,f296,f291,f286,f281,f301]) ).
fof(f301,plain,
( spl9_7
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f281,plain,
( spl9_3
<=> sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f286,plain,
( spl9_4
<=> leq(sK7,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f291,plain,
( spl9_5
<=> leq(sK6,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f296,plain,
( spl9_6
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f326,plain,
( ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f325,f298]) ).
fof(f298,plain,
( leq(n0,sK7)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f325,plain,
( ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f324,f293]) ).
fof(f293,plain,
( leq(sK6,minus(n6,n1))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f324,plain,
( ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f321,f288]) ).
fof(f288,plain,
( leq(sK7,minus(n6,n1))
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f321,plain,
( ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3 ),
inference(resolution,[],[f283,f249]) ).
fof(f249,plain,
! [X4,X5] :
( sQ8_eqProxy(a_select3(pminus_ds1_filter,X4,X5),a_select3(pminus_ds1_filter,X5,X4))
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f163,f244]) ).
fof(f163,plain,
! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f283,plain,
( ~ sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6))
| spl9_3 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f320,plain,
~ spl9_2,
inference(avatar_split_clause,[],[f319,f277]) ).
fof(f277,plain,
( spl9_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f319,plain,
~ sP1,
inference(subsumption_resolution,[],[f318,f148]) ).
fof(f148,plain,
( ~ sP1
| leq(n0,sK2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
& leq(sK3,minus(n3,n1))
& leq(sK2,minus(n3,n1))
& leq(n0,sK3)
& leq(n0,sK2) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f135,f136]) ).
fof(f136,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
& leq(sK3,minus(n3,n1))
& leq(sK2,minus(n3,n1))
& leq(n0,sK3)
& leq(n0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
( ? [X12,X13] :
( a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12)
& leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP1 ),
inference(nnf_transformation,[],[f132]) ).
fof(f318,plain,
( ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f317,f149]) ).
fof(f149,plain,
( ~ sP1
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
( ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f316,f150]) ).
fof(f150,plain,
( ~ sP1
| leq(sK2,minus(n3,n1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f316,plain,
( ~ leq(sK2,minus(n3,n1))
| ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f309,f151]) ).
fof(f151,plain,
( ~ sP1
| leq(sK3,minus(n3,n1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f309,plain,
( ~ leq(sK3,minus(n3,n1))
| ~ leq(sK2,minus(n3,n1))
| ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(resolution,[],[f251,f245]) ).
fof(f245,plain,
( ~ sQ8_eqProxy(a_select3(r_ds1_filter,sK2,sK3),a_select3(r_ds1_filter,sK3,sK2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f152,f244]) ).
fof(f152,plain,
( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f251,plain,
! [X8,X9] :
( sQ8_eqProxy(a_select3(r_ds1_filter,X8,X9),a_select3(r_ds1_filter,X9,X8))
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(equality_proxy_replacement,[],[f161,f244]) ).
fof(f161,plain,
! [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8)
| ~ leq(X9,minus(n3,n1))
| ~ leq(X8,minus(n3,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f144]) ).
fof(f304,plain,
( spl9_1
| spl9_2
| spl9_7 ),
inference(avatar_split_clause,[],[f165,f301,f277,f273]) ).
fof(f165,plain,
( leq(n0,sK6)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f299,plain,
( spl9_1
| spl9_2
| spl9_6 ),
inference(avatar_split_clause,[],[f166,f296,f277,f273]) ).
fof(f166,plain,
( leq(n0,sK7)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f294,plain,
( spl9_1
| spl9_2
| spl9_5 ),
inference(avatar_split_clause,[],[f167,f291,f277,f273]) ).
fof(f167,plain,
( leq(sK6,minus(n6,n1))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f289,plain,
( spl9_1
| spl9_2
| spl9_4 ),
inference(avatar_split_clause,[],[f168,f286,f277,f273]) ).
fof(f168,plain,
( leq(sK7,minus(n6,n1))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f284,plain,
( spl9_1
| spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f247,f281,f277,f273]) ).
fof(f247,plain,
( ~ sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6))
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f169,f244]) ).
fof(f169,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:57:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.QJK36ftOaL/Vampire---4.8_28989
% 0.58/0.75 % (29360)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (29355)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (29353)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (29356)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (29354)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (29358)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (29357)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (29359)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75 % (29360)First to succeed.
% 0.58/0.75 % (29360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29198"
% 0.58/0.75 % (29360)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (29360)------------------------------
% 0.58/0.75 % (29360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (29360)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (29360)Memory used [KB]: 1186
% 0.58/0.75 % (29360)Time elapsed: 0.005 s
% 0.58/0.75 % (29360)Instructions burned: 12 (million)
% 0.58/0.75 % (29198)Success in time 0.376 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------