TSTP Solution File: SWV115+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV115+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 May 1 04:02:36 EDT 2024
% Result : Theorem 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 131 ( 12 unt; 0 def)
% Number of atoms : 851 ( 106 equ)
% Maximal formula atoms : 54 ( 6 avg)
% Number of connectives : 1081 ( 361 ~; 348 |; 315 &)
% ( 12 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 188 ( 128 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(avatar_sat_refutation,[],[f323,f328,f333,f338,f343,f344,f345,f356,f361,f373,f381,f406]) ).
fof(f406,plain,
~ spl15_3,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f404,f306]) ).
fof(f306,plain,
( sP0
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl15_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f404,plain,
( ~ sP0
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f403,f396]) ).
fof(f396,plain,
( leq(n0,sK10)
| ~ spl15_3 ),
inference(resolution,[],[f306,f174]) ).
fof(f174,plain,
( ~ sP0
| leq(n0,sK10) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( a_select3(q_ds1_filter,sK10,sK11) != a_select3(q_ds1_filter,sK11,sK10)
& leq(sK11,minus(n6,n1))
& leq(sK10,minus(n6,n1))
& leq(n0,sK11)
& leq(n0,sK10) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f149,f150]) ).
fof(f150,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,sK10,sK11) != a_select3(q_ds1_filter,sK11,sK10)
& leq(sK11,minus(n6,n1))
& leq(sK10,minus(n6,n1))
& leq(n0,sK11)
& leq(n0,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f149,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,[],[f148]) ).
fof(f148,plain,
( ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP0 ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
( ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f403,plain,
( ~ leq(n0,sK10)
| ~ sP0
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f402,f397]) ).
fof(f397,plain,
( leq(n0,sK11)
| ~ spl15_3 ),
inference(resolution,[],[f306,f175]) ).
fof(f175,plain,
( ~ sP0
| leq(n0,sK11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f402,plain,
( ~ leq(n0,sK11)
| ~ leq(n0,sK10)
| ~ sP0
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f401,f398]) ).
fof(f398,plain,
( leq(sK10,minus(n6,n1))
| ~ spl15_3 ),
inference(resolution,[],[f306,f176]) ).
fof(f176,plain,
( ~ sP0
| leq(sK10,minus(n6,n1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f401,plain,
( ~ leq(sK10,minus(n6,n1))
| ~ leq(n0,sK11)
| ~ leq(n0,sK10)
| ~ sP0
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f400,f399]) ).
fof(f399,plain,
( leq(sK11,minus(n6,n1))
| ~ spl15_3 ),
inference(resolution,[],[f306,f177]) ).
fof(f177,plain,
( ~ sP0
| leq(sK11,minus(n6,n1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f400,plain,
( ~ leq(sK11,minus(n6,n1))
| ~ leq(sK10,minus(n6,n1))
| ~ leq(n0,sK11)
| ~ leq(n0,sK10)
| ~ sP0 ),
inference(resolution,[],[f275,f269]) ).
fof(f269,plain,
( ~ sQ14_eqProxy(a_select3(q_ds1_filter,sK10,sK11),a_select3(q_ds1_filter,sK11,sK10))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f178,f265]) ).
fof(f265,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f178,plain,
( a_select3(q_ds1_filter,sK10,sK11) != a_select3(q_ds1_filter,sK11,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f275,plain,
! [X10,X11] :
( sQ14_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,[],[f181,f265]) ).
fof(f181,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,[],[f155]) ).
fof(f155,plain,
( ( ( a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12)
& leq(sK13,minus(n6,n1))
& leq(n0,sK13)
& leq(sK12,minus(n6,n1))
& leq(n0,sK12) )
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [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,[sK12,sK13])],[f152,f154,f153]) ).
fof(f153,plain,
( ? [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) )
=> ( ? [X1] :
( a_select3(id_ds1_filter,sK12,X1) != a_select3(id_ds1_filter,X1,sK12)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK12,minus(n6,n1))
& leq(n0,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK12,X1) != a_select3(id_ds1_filter,X1,sK12)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12)
& leq(sK13,minus(n6,n1))
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ( ? [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) )
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [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,[],[f135]) ).
fof(f135,plain,
( ( ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [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,f134,f133,f132,f131]) ).
fof(f132,plain,
( ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f134,plain,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f106,plain,
( ( ? [X10] :
( ? [X11] :
( a_select3(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [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(id_ds1_filter,X10,X11) != a_select3(id_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(n0,X11) )
& leq(X10,minus(n6,n1))
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( a_select3(q_ds1_filter,X18,X19) != a_select3(q_ds1_filter,X19,X18)
& leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [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] :
( ( leq(X10,minus(n6,n1))
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,minus(n6,n1))
& leq(n0,X11) )
=> a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X12,X13] :
( ( leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter,X12,X13) = a_select3(pminus_ds1_filter,X13,X12) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X16,X17] :
( ( leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
=> a_select3(r_ds1_filter,X16,X17) = a_select3(r_ds1_filter,X17,X16) )
& ! [X18,X19] :
( ( leq(X19,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X19)
& leq(n0,X18) )
=> a_select3(q_ds1_filter,X18,X19) = a_select3(q_ds1_filter,X19,X18) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
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) )
=> ( ! [X33] :
( ( leq(X33,minus(n6,n1))
& leq(n0,X33) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X31,X32] :
( ( leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1))
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
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) )
=> ( ! [X33] :
( ( leq(X33,minus(n6,n1))
& leq(n0,X33) )
=> ! [X34] :
( ( leq(X34,minus(n6,n1))
& leq(n0,X34) )
=> a_select3(id_ds1_filter,X33,X34) = a_select3(id_ds1_filter,X34,X33) ) )
& ! [X31,X32] :
( ( leq(X32,minus(n6,n1))
& leq(X31,minus(n6,n1))
& leq(n0,X32)
& leq(n0,X31) )
=> a_select3(pminus_ds1_filter,X31,X32) = a_select3(pminus_ds1_filter,X32,X31) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/tmp/tmp.5F1JwBbZSi/Vampire---4.8_11257',quaternion_ds1_symm_0008) ).
fof(f381,plain,
( spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f379,f342]) ).
fof(f342,plain,
( leq(n0,sK12)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl15_11
<=> leq(n0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f379,plain,
( ~ leq(n0,sK12)
| spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f378,f337]) ).
fof(f337,plain,
( leq(sK12,minus(n6,n1))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl15_10
<=> leq(sK12,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f378,plain,
( ~ leq(sK12,minus(n6,n1))
| ~ leq(n0,sK12)
| spl15_7
| ~ spl15_8
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f377,f332]) ).
fof(f332,plain,
( leq(n0,sK13)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl15_9
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f377,plain,
( ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(n0,sK12)
| spl15_7
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f374,f327]) ).
fof(f327,plain,
( leq(sK13,minus(n6,n1))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl15_8
<=> leq(sK13,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f374,plain,
( ~ leq(sK13,minus(n6,n1))
| ~ leq(n0,sK13)
| ~ leq(sK12,minus(n6,n1))
| ~ leq(n0,sK12)
| spl15_7 ),
inference(resolution,[],[f322,f271]) ).
fof(f271,plain,
! [X2,X3] :
( sQ14_eqProxy(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) ),
inference(equality_proxy_replacement,[],[f185,f265]) ).
fof(f185,plain,
! [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) ),
inference(cnf_transformation,[],[f155]) ).
fof(f322,plain,
( ~ sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12))
| spl15_7 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl15_7
<=> sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f373,plain,
~ spl15_4,
inference(avatar_split_clause,[],[f372,f308]) ).
fof(f308,plain,
( spl15_4
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f372,plain,
~ sP1,
inference(subsumption_resolution,[],[f371,f169]) ).
fof(f169,plain,
( ~ sP1
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( a_select3(r_ds1_filter,sK8,sK9) != a_select3(r_ds1_filter,sK9,sK8)
& leq(sK9,minus(n3,n1))
& leq(sK8,minus(n3,n1))
& leq(n0,sK9)
& leq(n0,sK8) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f145,f146]) ).
fof(f146,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,sK8,sK9) != a_select3(r_ds1_filter,sK9,sK8)
& leq(sK9,minus(n3,n1))
& leq(sK8,minus(n3,n1))
& leq(n0,sK9)
& leq(n0,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f145,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,[],[f144]) ).
fof(f144,plain,
( ? [X16,X17] :
( a_select3(r_ds1_filter,X16,X17) != a_select3(r_ds1_filter,X17,X16)
& leq(X17,minus(n3,n1))
& leq(X16,minus(n3,n1))
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP1 ),
inference(nnf_transformation,[],[f132]) ).
fof(f371,plain,
( ~ leq(n0,sK8)
| ~ sP1 ),
inference(subsumption_resolution,[],[f370,f170]) ).
fof(f170,plain,
( ~ sP1
| leq(n0,sK9) ),
inference(cnf_transformation,[],[f147]) ).
fof(f370,plain,
( ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ sP1 ),
inference(subsumption_resolution,[],[f369,f171]) ).
fof(f171,plain,
( ~ sP1
| leq(sK8,minus(n3,n1)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f369,plain,
( ~ leq(sK8,minus(n3,n1))
| ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ sP1 ),
inference(subsumption_resolution,[],[f362,f172]) ).
fof(f172,plain,
( ~ sP1
| leq(sK9,minus(n3,n1)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f362,plain,
( ~ leq(sK9,minus(n3,n1))
| ~ leq(sK8,minus(n3,n1))
| ~ leq(n0,sK9)
| ~ leq(n0,sK8)
| ~ sP1 ),
inference(resolution,[],[f274,f268]) ).
fof(f268,plain,
( ~ sQ14_eqProxy(a_select3(r_ds1_filter,sK8,sK9),a_select3(r_ds1_filter,sK9,sK8))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f173,f265]) ).
fof(f173,plain,
( a_select3(r_ds1_filter,sK8,sK9) != a_select3(r_ds1_filter,sK9,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f274,plain,
! [X8,X9] :
( sQ14_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,[],[f182,f265]) ).
fof(f182,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,[],[f155]) ).
fof(f361,plain,
~ spl15_5,
inference(avatar_split_clause,[],[f360,f312]) ).
fof(f312,plain,
( spl15_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f360,plain,
~ sP2,
inference(subsumption_resolution,[],[f359,f164]) ).
fof(f164,plain,
( ~ sP2
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f141,f142]) ).
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) )
=> ( 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(f141,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) )
| ~ sP2 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ? [X14,X15] :
( a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14)
& leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP2 ),
inference(nnf_transformation,[],[f133]) ).
fof(f359,plain,
( ~ leq(n0,sK6)
| ~ sP2 ),
inference(subsumption_resolution,[],[f358,f165]) ).
fof(f165,plain,
( ~ sP2
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f143]) ).
fof(f358,plain,
( ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ sP2 ),
inference(subsumption_resolution,[],[f357,f166]) ).
fof(f166,plain,
( ~ sP2
| leq(sK6,minus(n6,n1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f357,plain,
( ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ sP2 ),
inference(subsumption_resolution,[],[f351,f167]) ).
fof(f167,plain,
( ~ sP2
| leq(sK7,minus(n6,n1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f351,plain,
( ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| ~ sP2 ),
inference(resolution,[],[f272,f267]) ).
fof(f267,plain,
( ~ sQ14_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f168,f265]) ).
fof(f168,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f272,plain,
! [X4,X5] :
( sQ14_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,[],[f184,f265]) ).
fof(f184,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,[],[f155]) ).
fof(f356,plain,
~ spl15_6,
inference(avatar_split_clause,[],[f355,f316]) ).
fof(f316,plain,
( spl15_6
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f355,plain,
~ sP3,
inference(subsumption_resolution,[],[f354,f159]) ).
fof(f159,plain,
( ~ sP3
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( a_select3(pminus_ds1_filter,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f137,f138]) ).
fof(f138,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,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f137,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) )
| ~ sP3 ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
( ? [X12,X13] :
( a_select3(pminus_ds1_filter,X12,X13) != a_select3(pminus_ds1_filter,X13,X12)
& leq(X13,minus(n6,n1))
& leq(X12,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP3 ),
inference(nnf_transformation,[],[f134]) ).
fof(f354,plain,
( ~ leq(n0,sK4)
| ~ sP3 ),
inference(subsumption_resolution,[],[f353,f160]) ).
fof(f160,plain,
( ~ sP3
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f353,plain,
( ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP3 ),
inference(subsumption_resolution,[],[f352,f161]) ).
fof(f161,plain,
( ~ sP3
| leq(sK4,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f352,plain,
( ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP3 ),
inference(subsumption_resolution,[],[f350,f162]) ).
fof(f162,plain,
( ~ sP3
| leq(sK5,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f350,plain,
( ~ leq(sK5,minus(n6,n1))
| ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP3 ),
inference(resolution,[],[f272,f266]) ).
fof(f266,plain,
( ~ sQ14_eqProxy(a_select3(pminus_ds1_filter,sK4,sK5),a_select3(pminus_ds1_filter,sK5,sK4))
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f163,f265]) ).
fof(f163,plain,
( a_select3(pminus_ds1_filter,sK4,sK5) != a_select3(pminus_ds1_filter,sK5,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f345,plain,
spl15_1,
inference(avatar_split_clause,[],[f179,f296]) ).
fof(f296,plain,
( spl15_1
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f179,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f155]) ).
fof(f344,plain,
spl15_2,
inference(avatar_split_clause,[],[f180,f300]) ).
fof(f300,plain,
( spl15_2
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f180,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f343,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| spl15_4
| spl15_5
| spl15_6
| spl15_11 ),
inference(avatar_split_clause,[],[f186,f340,f316,f312,f308,f304,f300,f296]) ).
fof(f186,plain,
( leq(n0,sK12)
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f338,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| spl15_4
| spl15_5
| spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f187,f335,f316,f312,f308,f304,f300,f296]) ).
fof(f187,plain,
( leq(sK12,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f333,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| spl15_4
| spl15_5
| spl15_6
| spl15_9 ),
inference(avatar_split_clause,[],[f188,f330,f316,f312,f308,f304,f300,f296]) ).
fof(f188,plain,
( leq(n0,sK13)
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f328,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| spl15_4
| spl15_5
| spl15_6
| spl15_8 ),
inference(avatar_split_clause,[],[f189,f325,f316,f312,f308,f304,f300,f296]) ).
fof(f189,plain,
( leq(sK13,minus(n6,n1))
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f323,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| spl15_4
| spl15_5
| spl15_6
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f270,f320,f316,f312,f308,f304,f300,f296]) ).
fof(f270,plain,
( ~ sQ14_eqProxy(a_select3(id_ds1_filter,sK12,sK13),a_select3(id_ds1_filter,sK13,sK12))
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(equality_proxy_replacement,[],[f190,f265]) ).
fof(f190,plain,
( a_select3(id_ds1_filter,sK12,sK13) != a_select3(id_ds1_filter,sK13,sK12)
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV115+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:28:56 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5F1JwBbZSi/Vampire---4.8_11257
% 0.53/0.75 % (11516)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)
% 0.53/0.75 % (11509)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)
% 0.53/0.75 % (11510)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)
% 0.53/0.75 % (11512)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)
% 0.53/0.75 % (11511)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75 % (11513)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)
% 0.53/0.75 % (11514)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)
% 0.53/0.75 % (11516)First to succeed.
% 0.53/0.75 % (11516)Refutation found. Thanks to Tanya!
% 0.53/0.75 % SZS status Theorem for Vampire---4
% 0.53/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.75 % (11516)------------------------------
% 0.53/0.75 % (11516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75 % (11516)Termination reason: Refutation
% 0.53/0.75
% 0.53/0.75 % (11516)Memory used [KB]: 1194
% 0.53/0.75 % (11516)Time elapsed: 0.005 s
% 0.53/0.75 % (11516)Instructions burned: 15 (million)
% 0.53/0.75 % (11516)------------------------------
% 0.53/0.75 % (11516)------------------------------
% 0.53/0.75 % (11505)Success in time 0.383 s
% 0.53/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------