TSTP Solution File: SWV117+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV117+1 : TPTP v8.2.0. 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:54:04 EDT 2024
% Result : Theorem 0.82s 0.97s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 37
% Syntax : Number of formulae : 158 ( 12 unt; 0 def)
% Number of atoms : 831 ( 113 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 1021 ( 348 ~; 356 |; 254 &)
% ( 25 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 29 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 161 ( 113 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f767,plain,
$false,
inference(avatar_sat_refutation,[],[f469,f473,f477,f481,f485,f492,f496,f500,f504,f508,f515,f519,f523,f527,f531,f544,f548,f552,f556,f560,f581,f583,f626,f643,f706,f765]) ).
fof(f765,plain,
( spl42_14
| ~ spl42_15
| ~ spl42_16
| ~ spl42_17
| ~ spl42_18 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| spl42_14
| ~ spl42_15
| ~ spl42_16
| ~ spl42_17
| ~ spl42_18 ),
inference(subsumption_resolution,[],[f763,f530]) ).
fof(f530,plain,
( leq(n0,sK11)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl42_18
<=> leq(n0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).
fof(f763,plain,
( ~ leq(n0,sK11)
| spl42_14
| ~ spl42_15
| ~ spl42_16
| ~ spl42_17 ),
inference(subsumption_resolution,[],[f759,f514]) ).
fof(f514,plain,
( a_select3(q_ds1_filter,sK11,sK12) != a_select3(q_ds1_filter,sK12,sK11)
| spl42_14 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl42_14
<=> a_select3(q_ds1_filter,sK11,sK12) = a_select3(q_ds1_filter,sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).
fof(f759,plain,
( a_select3(q_ds1_filter,sK11,sK12) = a_select3(q_ds1_filter,sK12,sK11)
| ~ leq(n0,sK11)
| ~ spl42_15
| ~ spl42_16
| ~ spl42_17 ),
inference(resolution,[],[f719,f522]) ).
fof(f522,plain,
( leq(sK11,minus(n6,n1))
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl42_16
<=> leq(sK11,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f719,plain,
( ! [X0] :
( ~ leq(X0,minus(n6,n1))
| a_select3(q_ds1_filter,X0,sK12) = a_select3(q_ds1_filter,sK12,X0)
| ~ leq(n0,X0) )
| ~ spl42_15
| ~ spl42_17 ),
inference(subsumption_resolution,[],[f716,f526]) ).
fof(f526,plain,
( leq(n0,sK12)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f525,plain,
( spl42_17
<=> leq(n0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f716,plain,
( ! [X0] :
( a_select3(q_ds1_filter,X0,sK12) = a_select3(q_ds1_filter,sK12,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,sK12)
| ~ leq(n0,X0) )
| ~ spl42_15 ),
inference(resolution,[],[f518,f268]) ).
fof(f268,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| a_select3(q_ds1_filter,X8,X9) = a_select3(q_ds1_filter,X9,X8)
| ~ leq(X8,minus(n6,n1))
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( ( a_select3(id_ds1_filter,sK13,sK14) != a_select3(id_ds1_filter,sK14,sK13)
& leq(sK14,minus(n6,n1))
& leq(n0,sK14)
& leq(sK13,minus(n6,n1))
& leq(n0,sK13) )
| 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(plus(n1,minus(n6,n1)),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(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(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f200,f202,f201]) ).
fof(f201,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,sK13,X1) != a_select3(id_ds1_filter,X1,sK13)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
& leq(sK13,minus(n6,n1))
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
( ? [X1] :
( a_select3(id_ds1_filter,sK13,X1) != a_select3(id_ds1_filter,X1,sK13)
& leq(X1,minus(n6,n1))
& leq(n0,X1) )
=> ( a_select3(id_ds1_filter,sK13,sK14) != a_select3(id_ds1_filter,sK14,sK13)
& leq(sK14,minus(n6,n1))
& leq(n0,sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f200,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) )
| 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(plus(n1,minus(n6,n1)),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(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(rectify,[],[f180]) ).
fof(f180,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(definition_folding,[],[f124,f179,f178,f177]) ).
fof(f177,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(f178,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(f179,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) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f124,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [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) )
| ~ 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
( ( ? [X8] :
( ? [X9] :
( a_select3(id_ds1_filter,X8,X9) != a_select3(id_ds1_filter,X9,X8)
& leq(X9,minus(n6,n1))
& leq(n0,X9) )
& leq(X8,minus(n6,n1))
& leq(n0,X8) )
| ? [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) )
| ~ 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(plus(n1,minus(n6,n1)),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(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X0] :
( ( leq(X0,minus(plus(n1,minus(n6,n1)),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(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_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] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X27] :
( ( leq(X27,minus(plus(n1,minus(n6,n1)),n1))
& leq(n0,X27) )
=> ! [X28] :
( ( leq(X28,minus(n6,n1))
& leq(n0,X28) )
=> a_select3(id_ds1_filter,X27,X28) = a_select3(id_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] :
( ( leq(X29,minus(n6,n1))
& leq(n0,X29) )
=> ! [X30] :
( ( leq(X30,minus(n6,n1))
& leq(n0,X30) )
=> a_select3(id_ds1_filter,X29,X30) = a_select3(id_ds1_filter,X30,X29) ) )
& ! [X18,X14] :
( ( leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1))
& leq(n0,X14)
& leq(n0,X18) )
=> a_select3(pminus_ds1_filter,X18,X14) = a_select3(pminus_ds1_filter,X14,X18) )
& ! [X15,X5] :
( ( leq(X5,minus(n3,n1))
& leq(X15,minus(n3,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(r_ds1_filter,X15,X5) = a_select3(r_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X10) = a_select3(q_ds1_filter,X10,X4) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0010) ).
fof(f518,plain,
( leq(sK12,minus(n6,n1))
| ~ spl42_15 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl42_15
<=> leq(sK12,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).
fof(f706,plain,
( spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24
| ~ spl42_25 ),
inference(subsumption_resolution,[],[f704,f559]) ).
fof(f559,plain,
( leq(n0,sK13)
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl42_25
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f704,plain,
( ~ leq(n0,sK13)
| spl42_21
| ~ spl42_22
| ~ spl42_23
| ~ spl42_24 ),
inference(subsumption_resolution,[],[f703,f555]) ).
fof(f555,plain,
( leq(sK13,minus(n6,n1))
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl42_24
<=> leq(sK13,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f703,plain,
( ~ leq(sK13,minus(n6,n1))
| ~ leq(n0,sK13)
| spl42_21
| ~ spl42_22
| ~ spl42_23 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( a_select3(id_ds1_filter,sK13,sK14) != a_select3(id_ds1_filter,sK13,sK14)
| ~ leq(sK13,minus(n6,n1))
| ~ leq(n0,sK13)
| spl42_21
| ~ spl42_22
| ~ spl42_23 ),
inference(superposition,[],[f543,f660]) ).
fof(f660,plain,
( ! [X0] :
( a_select3(id_ds1_filter,sK14,X0) = a_select3(id_ds1_filter,X0,sK14)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
| ~ spl42_22
| ~ spl42_23 ),
inference(subsumption_resolution,[],[f657,f551]) ).
fof(f551,plain,
( leq(n0,sK14)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl42_23
<=> leq(n0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).
fof(f657,plain,
( ! [X0] :
( a_select3(id_ds1_filter,sK14,X0) = a_select3(id_ds1_filter,X0,sK14)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK14) )
| ~ spl42_22 ),
inference(resolution,[],[f547,f579]) ).
fof(f579,plain,
! [X2,X3] :
( ~ leq(X2,minus(n6,n1))
| a_select3(id_ds1_filter,X2,X3) = a_select3(id_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(backward_demodulation,[],[f271,f456]) ).
fof(f456,plain,
! [X0] : plus(n1,minus(X0,n1)) = X0,
inference(definition_unfolding,[],[f424,f361,f377]) ).
fof(f377,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(f361,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f424,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f271,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(plus(n1,minus(n6,n1)),n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f203]) ).
fof(f547,plain,
( leq(sK14,minus(n6,n1))
| ~ spl42_22 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl42_22
<=> leq(sK14,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).
fof(f543,plain,
( a_select3(id_ds1_filter,sK13,sK14) != a_select3(id_ds1_filter,sK14,sK13)
| spl42_21 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl42_21
<=> a_select3(id_ds1_filter,sK13,sK14) = a_select3(id_ds1_filter,sK14,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f643,plain,
( spl42_2
| ~ spl42_3
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| spl42_2
| ~ spl42_3
| ~ spl42_4
| ~ spl42_5
| ~ spl42_6 ),
inference(subsumption_resolution,[],[f641,f484]) ).
fof(f484,plain,
( leq(n0,sK7)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl42_6
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f641,plain,
( ~ leq(n0,sK7)
| spl42_2
| ~ spl42_3
| ~ spl42_4
| ~ spl42_5 ),
inference(subsumption_resolution,[],[f640,f476]) ).
fof(f476,plain,
( leq(sK7,minus(n6,n1))
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl42_4
<=> leq(sK7,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f640,plain,
( ~ leq(sK7,minus(n6,n1))
| ~ leq(n0,sK7)
| spl42_2
| ~ spl42_3
| ~ spl42_5 ),
inference(trivial_inequality_removal,[],[f639]) ).
fof(f639,plain,
( a_select3(pminus_ds1_filter,sK7,sK8) != a_select3(pminus_ds1_filter,sK7,sK8)
| ~ leq(sK7,minus(n6,n1))
| ~ leq(n0,sK7)
| spl42_2
| ~ spl42_3
| ~ spl42_5 ),
inference(superposition,[],[f468,f631]) ).
fof(f631,plain,
( ! [X0] :
( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) )
| ~ spl42_3
| ~ spl42_5 ),
inference(subsumption_resolution,[],[f628,f480]) ).
fof(f480,plain,
( leq(n0,sK8)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl42_5
<=> leq(n0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f628,plain,
( ! [X0] :
( a_select3(pminus_ds1_filter,X0,sK8) = a_select3(pminus_ds1_filter,sK8,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,sK8)
| ~ leq(n0,X0) )
| ~ spl42_3 ),
inference(resolution,[],[f472,f270]) ).
fof(f270,plain,
! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f203]) ).
fof(f472,plain,
( leq(sK8,minus(n6,n1))
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl42_3
<=> leq(sK8,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f468,plain,
( a_select3(pminus_ds1_filter,sK7,sK8) != a_select3(pminus_ds1_filter,sK8,sK7)
| spl42_2 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl42_2
<=> a_select3(pminus_ds1_filter,sK7,sK8) = a_select3(pminus_ds1_filter,sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f626,plain,
( spl42_8
| ~ spl42_9
| ~ spl42_10
| ~ spl42_11
| ~ spl42_12 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| spl42_8
| ~ spl42_9
| ~ spl42_10
| ~ spl42_11
| ~ spl42_12 ),
inference(subsumption_resolution,[],[f624,f507]) ).
fof(f507,plain,
( leq(n0,sK9)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl42_12
<=> leq(n0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f624,plain,
( ~ leq(n0,sK9)
| spl42_8
| ~ spl42_9
| ~ spl42_10
| ~ spl42_11 ),
inference(subsumption_resolution,[],[f623,f499]) ).
fof(f499,plain,
( leq(sK9,minus(n3,n1))
| ~ spl42_10 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl42_10
<=> leq(sK9,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_10])]) ).
fof(f623,plain,
( ~ leq(sK9,minus(n3,n1))
| ~ leq(n0,sK9)
| spl42_8
| ~ spl42_9
| ~ spl42_11 ),
inference(trivial_inequality_removal,[],[f622]) ).
fof(f622,plain,
( a_select3(r_ds1_filter,sK9,sK10) != a_select3(r_ds1_filter,sK9,sK10)
| ~ leq(sK9,minus(n3,n1))
| ~ leq(n0,sK9)
| spl42_8
| ~ spl42_9
| ~ spl42_11 ),
inference(superposition,[],[f491,f621]) ).
fof(f621,plain,
( ! [X0] :
( a_select3(r_ds1_filter,X0,sK10) = a_select3(r_ds1_filter,sK10,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
| ~ spl42_9
| ~ spl42_11 ),
inference(subsumption_resolution,[],[f620,f503]) ).
fof(f503,plain,
( leq(n0,sK10)
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl42_11
<=> leq(n0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f620,plain,
( ! [X0] :
( a_select3(r_ds1_filter,X0,sK10) = a_select3(r_ds1_filter,sK10,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,sK10)
| ~ leq(n0,X0) )
| ~ spl42_9 ),
inference(resolution,[],[f495,f269]) ).
fof(f269,plain,
! [X6,X7] :
( ~ leq(X7,minus(n3,n1))
| a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6)
| ~ leq(X6,minus(n3,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f203]) ).
fof(f495,plain,
( leq(sK10,minus(n3,n1))
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl42_9
<=> leq(sK10,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).
fof(f491,plain,
( a_select3(r_ds1_filter,sK9,sK10) != a_select3(r_ds1_filter,sK10,sK9)
| spl42_8 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl42_8
<=> a_select3(r_ds1_filter,sK9,sK10) = a_select3(r_ds1_filter,sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f583,plain,
spl42_19,
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| spl42_19 ),
inference(subsumption_resolution,[],[f534,f266]) ).
fof(f266,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f203]) ).
fof(f534,plain,
( ~ leq(n0,pv5)
| spl42_19 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl42_19
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).
fof(f581,plain,
spl42_20,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| spl42_20 ),
inference(subsumption_resolution,[],[f537,f267]) ).
fof(f267,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f203]) ).
fof(f537,plain,
( ~ leq(pv5,minus(n999,n1))
| spl42_20 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl42_20
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).
fof(f560,plain,
( ~ spl42_19
| ~ spl42_20
| spl42_13
| spl42_7
| spl42_1
| spl42_25 ),
inference(avatar_split_clause,[],[f272,f558,f464,f487,f510,f536,f533]) ).
fof(f510,plain,
( spl42_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).
fof(f487,plain,
( spl42_7
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).
fof(f464,plain,
( spl42_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f272,plain,
( leq(n0,sK13)
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f556,plain,
( ~ spl42_19
| ~ spl42_20
| spl42_13
| spl42_7
| spl42_1
| spl42_24 ),
inference(avatar_split_clause,[],[f273,f554,f464,f487,f510,f536,f533]) ).
fof(f273,plain,
( leq(sK13,minus(n6,n1))
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f552,plain,
( ~ spl42_19
| ~ spl42_20
| spl42_13
| spl42_7
| spl42_1
| spl42_23 ),
inference(avatar_split_clause,[],[f274,f550,f464,f487,f510,f536,f533]) ).
fof(f274,plain,
( leq(n0,sK14)
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f548,plain,
( ~ spl42_19
| ~ spl42_20
| spl42_13
| spl42_7
| spl42_1
| spl42_22 ),
inference(avatar_split_clause,[],[f275,f546,f464,f487,f510,f536,f533]) ).
fof(f275,plain,
( leq(sK14,minus(n6,n1))
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f544,plain,
( ~ spl42_19
| ~ spl42_20
| spl42_13
| spl42_7
| spl42_1
| ~ spl42_21 ),
inference(avatar_split_clause,[],[f276,f542,f464,f487,f510,f536,f533]) ).
fof(f276,plain,
( a_select3(id_ds1_filter,sK13,sK14) != a_select3(id_ds1_filter,sK14,sK13)
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f531,plain,
( ~ spl42_13
| spl42_18 ),
inference(avatar_split_clause,[],[f261,f529,f510]) ).
fof(f261,plain,
( leq(n0,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( a_select3(q_ds1_filter,sK11,sK12) != a_select3(q_ds1_filter,sK12,sK11)
& leq(sK12,minus(n6,n1))
& leq(sK11,minus(n6,n1))
& leq(n0,sK12)
& leq(n0,sK11) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f197,f198]) ).
fof(f198,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,sK11,sK12) != a_select3(q_ds1_filter,sK12,sK11)
& leq(sK12,minus(n6,n1))
& leq(sK11,minus(n6,n1))
& leq(n0,sK12)
& leq(n0,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f197,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,[],[f196]) ).
fof(f196,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,[],[f177]) ).
fof(f527,plain,
( ~ spl42_13
| spl42_17 ),
inference(avatar_split_clause,[],[f262,f525,f510]) ).
fof(f262,plain,
( leq(n0,sK12)
| ~ sP0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f523,plain,
( ~ spl42_13
| spl42_16 ),
inference(avatar_split_clause,[],[f263,f521,f510]) ).
fof(f263,plain,
( leq(sK11,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f519,plain,
( ~ spl42_13
| spl42_15 ),
inference(avatar_split_clause,[],[f264,f517,f510]) ).
fof(f264,plain,
( leq(sK12,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f515,plain,
( ~ spl42_13
| ~ spl42_14 ),
inference(avatar_split_clause,[],[f265,f513,f510]) ).
fof(f265,plain,
( a_select3(q_ds1_filter,sK11,sK12) != a_select3(q_ds1_filter,sK12,sK11)
| ~ sP0 ),
inference(cnf_transformation,[],[f199]) ).
fof(f508,plain,
( ~ spl42_7
| spl42_12 ),
inference(avatar_split_clause,[],[f256,f506,f487]) ).
fof(f256,plain,
( leq(n0,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( a_select3(r_ds1_filter,sK9,sK10) != a_select3(r_ds1_filter,sK10,sK9)
& leq(sK10,minus(n3,n1))
& leq(sK9,minus(n3,n1))
& leq(n0,sK10)
& leq(n0,sK9) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f193,f194]) ).
fof(f194,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,sK9,sK10) != a_select3(r_ds1_filter,sK10,sK9)
& leq(sK10,minus(n3,n1))
& leq(sK9,minus(n3,n1))
& leq(n0,sK10)
& leq(n0,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f193,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,[],[f192]) ).
fof(f192,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,[],[f178]) ).
fof(f504,plain,
( ~ spl42_7
| spl42_11 ),
inference(avatar_split_clause,[],[f257,f502,f487]) ).
fof(f257,plain,
( leq(n0,sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f500,plain,
( ~ spl42_7
| spl42_10 ),
inference(avatar_split_clause,[],[f258,f498,f487]) ).
fof(f258,plain,
( leq(sK9,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f496,plain,
( ~ spl42_7
| spl42_9 ),
inference(avatar_split_clause,[],[f259,f494,f487]) ).
fof(f259,plain,
( leq(sK10,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f492,plain,
( ~ spl42_7
| ~ spl42_8 ),
inference(avatar_split_clause,[],[f260,f490,f487]) ).
fof(f260,plain,
( a_select3(r_ds1_filter,sK9,sK10) != a_select3(r_ds1_filter,sK10,sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f485,plain,
( ~ spl42_1
| spl42_6 ),
inference(avatar_split_clause,[],[f251,f483,f464]) ).
fof(f251,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( a_select3(pminus_ds1_filter,sK7,sK8) != a_select3(pminus_ds1_filter,sK8,sK7)
& leq(sK8,minus(n6,n1))
& leq(sK7,minus(n6,n1))
& leq(n0,sK8)
& leq(n0,sK7) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f189,f190]) ).
fof(f190,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,sK7,sK8) != a_select3(pminus_ds1_filter,sK8,sK7)
& leq(sK8,minus(n6,n1))
& leq(sK7,minus(n6,n1))
& leq(n0,sK8)
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f189,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,[],[f188]) ).
fof(f188,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) )
| ~ sP2 ),
inference(nnf_transformation,[],[f179]) ).
fof(f481,plain,
( ~ spl42_1
| spl42_5 ),
inference(avatar_split_clause,[],[f252,f479,f464]) ).
fof(f252,plain,
( leq(n0,sK8)
| ~ sP2 ),
inference(cnf_transformation,[],[f191]) ).
fof(f477,plain,
( ~ spl42_1
| spl42_4 ),
inference(avatar_split_clause,[],[f253,f475,f464]) ).
fof(f253,plain,
( leq(sK7,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f191]) ).
fof(f473,plain,
( ~ spl42_1
| spl42_3 ),
inference(avatar_split_clause,[],[f254,f471,f464]) ).
fof(f254,plain,
( leq(sK8,minus(n6,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f191]) ).
fof(f469,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f255,f467,f464]) ).
fof(f255,plain,
( a_select3(pminus_ds1_filter,sK7,sK8) != a_select3(pminus_ds1_filter,sK8,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV117+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.14 % 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 : n025.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 : Sun May 19 06:32:23 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/benchmark/theBenchmark.p
% 0.75/0.92 % (19026)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.75/0.92 % (19024)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 theBenchmark for (2994ds/34Mi)
% 0.75/0.92 % (19025)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 theBenchmark for (2994ds/51Mi)
% 0.75/0.92 % (19028)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 theBenchmark for (2994ds/34Mi)
% 0.75/0.92 % (19027)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.75/0.92 % (19029)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.75/0.92 % (19030)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 theBenchmark for (2994ds/83Mi)
% 0.75/0.92 % (19031)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.75/0.93 % (19028)Instruction limit reached!
% 0.75/0.93 % (19028)------------------------------
% 0.75/0.93 % (19028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.93 % (19028)Termination reason: Unknown
% 0.75/0.93 % (19028)Termination phase: Saturation
% 0.75/0.93
% 0.75/0.93 % (19028)Memory used [KB]: 1594
% 0.75/0.93 % (19028)Time elapsed: 0.018 s
% 0.75/0.93 % (19028)Instructions burned: 35 (million)
% 0.75/0.93 % (19028)------------------------------
% 0.75/0.93 % (19028)------------------------------
% 0.75/0.94 % (19024)Instruction limit reached!
% 0.75/0.94 % (19024)------------------------------
% 0.75/0.94 % (19024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.94 % (19024)Termination reason: Unknown
% 0.75/0.94 % (19024)Termination phase: Saturation
% 0.75/0.94
% 0.75/0.94 % (19024)Memory used [KB]: 1453
% 0.75/0.94 % (19024)Time elapsed: 0.020 s
% 0.75/0.94 % (19024)Instructions burned: 34 (million)
% 0.75/0.94 % (19024)------------------------------
% 0.75/0.94 % (19024)------------------------------
% 0.78/0.94 % (19027)Instruction limit reached!
% 0.78/0.94 % (19027)------------------------------
% 0.78/0.94 % (19027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.94 % (19027)Termination reason: Unknown
% 0.78/0.94 % (19027)Termination phase: Saturation
% 0.78/0.94
% 0.78/0.94 % (19027)Memory used [KB]: 1568
% 0.78/0.94 % (19027)Time elapsed: 0.020 s
% 0.78/0.94 % (19027)Instructions burned: 33 (million)
% 0.78/0.94 % (19027)------------------------------
% 0.78/0.94 % (19027)------------------------------
% 0.78/0.94 % (19032)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.82/0.94 % (19033)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.82/0.94 % (19034)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.82/0.94 % (19029)Instruction limit reached!
% 0.82/0.94 % (19029)------------------------------
% 0.82/0.94 % (19029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.94 % (19029)Termination reason: Unknown
% 0.82/0.94 % (19029)Termination phase: Saturation
% 0.82/0.94
% 0.82/0.94 % (19029)Memory used [KB]: 1523
% 0.82/0.94 % (19029)Time elapsed: 0.025 s
% 0.82/0.94 % (19029)Instructions burned: 46 (million)
% 0.82/0.94 % (19029)------------------------------
% 0.82/0.94 % (19029)------------------------------
% 0.82/0.94 % (19025)Instruction limit reached!
% 0.82/0.94 % (19025)------------------------------
% 0.82/0.94 % (19025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.94 % (19025)Termination reason: Unknown
% 0.82/0.94 % (19025)Termination phase: Saturation
% 0.82/0.94
% 0.82/0.94 % (19025)Memory used [KB]: 1819
% 0.82/0.94 % (19025)Time elapsed: 0.029 s
% 0.82/0.94 % (19025)Instructions burned: 51 (million)
% 0.82/0.94 % (19025)------------------------------
% 0.82/0.94 % (19025)------------------------------
% 0.82/0.94 % (19035)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.82/0.94 % (19031)Instruction limit reached!
% 0.82/0.94 % (19031)------------------------------
% 0.82/0.94 % (19031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.94 % (19031)Termination reason: Unknown
% 0.82/0.94 % (19031)Termination phase: Saturation
% 0.82/0.94
% 0.82/0.94 % (19031)Memory used [KB]: 1467
% 0.82/0.94 % (19031)Time elapsed: 0.028 s
% 0.82/0.94 % (19031)Instructions burned: 57 (million)
% 0.82/0.94 % (19031)------------------------------
% 0.82/0.94 % (19031)------------------------------
% 0.82/0.95 % (19036)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.82/0.95 % (19037)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.82/0.96 % (19026)Instruction limit reached!
% 0.82/0.96 % (19026)------------------------------
% 0.82/0.96 % (19026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.96 % (19026)Termination reason: Unknown
% 0.82/0.96 % (19026)Termination phase: Saturation
% 0.82/0.96
% 0.82/0.96 % (19026)Memory used [KB]: 1633
% 0.82/0.96 % (19026)Time elapsed: 0.044 s
% 0.82/0.96 % (19026)Instructions burned: 78 (million)
% 0.82/0.96 % (19026)------------------------------
% 0.82/0.96 % (19026)------------------------------
% 0.82/0.96 % (19033)Instruction limit reached!
% 0.82/0.96 % (19033)------------------------------
% 0.82/0.96 % (19033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.96 % (19033)Termination reason: Unknown
% 0.82/0.96 % (19033)Termination phase: Saturation
% 0.82/0.96
% 0.82/0.96 % (19033)Memory used [KB]: 1854
% 0.82/0.96 % (19033)Time elapsed: 0.024 s
% 0.82/0.96 % (19033)Instructions burned: 51 (million)
% 0.82/0.96 % (19033)------------------------------
% 0.82/0.96 % (19033)------------------------------
% 0.82/0.96 % (19032)Instruction limit reached!
% 0.82/0.96 % (19032)------------------------------
% 0.82/0.96 % (19032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.96 % (19032)Termination reason: Unknown
% 0.82/0.96 % (19032)Termination phase: Saturation
% 0.82/0.96
% 0.82/0.96 % (19032)Memory used [KB]: 2576
% 0.82/0.96 % (19032)Time elapsed: 0.026 s
% 0.82/0.96 % (19032)Instructions burned: 56 (million)
% 0.82/0.96 % (19032)------------------------------
% 0.82/0.96 % (19032)------------------------------
% 0.82/0.96 % (19038)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.82/0.96 % (19039)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.82/0.97 % (19040)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.82/0.97 % (19037)Instruction limit reached!
% 0.82/0.97 % (19037)------------------------------
% 0.82/0.97 % (19037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.97 % (19037)Termination reason: Unknown
% 0.82/0.97 % (19037)Termination phase: Property scanning
% 0.82/0.97
% 0.82/0.97 % (19037)Memory used [KB]: 1720
% 0.82/0.97 % (19037)Time elapsed: 0.019 s
% 0.82/0.97 % (19037)Instructions burned: 43 (million)
% 0.82/0.97 % (19037)------------------------------
% 0.82/0.97 % (19037)------------------------------
% 0.82/0.97 % (19030)Instruction limit reached!
% 0.82/0.97 % (19030)------------------------------
% 0.82/0.97 % (19030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.97 % (19030)Termination reason: Unknown
% 0.82/0.97 % (19030)Termination phase: Saturation
% 0.82/0.97
% 0.82/0.97 % (19030)Memory used [KB]: 2048
% 0.82/0.97 % (19030)Time elapsed: 0.050 s
% 0.82/0.97 % (19030)Instructions burned: 83 (million)
% 0.82/0.97 % (19030)------------------------------
% 0.82/0.97 % (19030)------------------------------
% 0.82/0.97 % (19035)First to succeed.
% 0.82/0.97 % (19041)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.82/0.97 % (19042)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.82/0.97 % (19035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19023"
% 0.82/0.97 % (19035)Refutation found. Thanks to Tanya!
% 0.82/0.97 % SZS status Theorem for theBenchmark
% 0.82/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.97 % (19035)------------------------------
% 0.82/0.97 % (19035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.97 % (19035)Termination reason: Refutation
% 0.82/0.97
% 0.82/0.97 % (19035)Memory used [KB]: 1603
% 0.82/0.97 % (19035)Time elapsed: 0.027 s
% 0.82/0.97 % (19035)Instructions burned: 49 (million)
% 0.82/0.97 % (19023)Success in time 0.584 s
% 0.82/0.97 % Vampire---4.8 exiting
%------------------------------------------------------------------------------