TSTP Solution File: NUM859+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM859+1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n004.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 01:46:31 EDT 2024
% Result : Theorem 1.18s 0.91s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 252 ( 4 unt; 0 def)
% Number of atoms : 802 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 972 ( 422 ~; 447 |; 56 &)
% ( 36 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 24 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 296 ( 274 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4220,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f80,f150,f159,f168,f419,f528,f767,f1250,f1360,f1701,f1787,f2251,f2301,f2434,f2495,f2508,f2520,f2556,f2563,f2626,f2635,f2667,f3286,f3888,f3942,f3953,f4028,f4067,f4119,f4174,f4209,f4210]) ).
fof(f4210,plain,
( spl6_9
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f4145,f1293,f165]) ).
fof(f165,plain,
( spl6_9
<=> lesseq(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f1293,plain,
( spl6_38
<=> model_ub(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f4145,plain,
( lesseq(sK1,sK2)
| ~ spl6_38 ),
inference(resolution,[],[f1294,f332]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ model_ub(X2,X0,X1)
| lesseq(X0,X1) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f322,plain,
! [X2,X0,X1] :
( lesseq(X0,X1)
| ~ model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1) ),
inference(resolution,[],[f124,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( lesseq(X1,sK5(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(resolution,[],[f62,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) )
& ( ( lesseq(X1,X2)
& lesseq(X0,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) )
& ( ( lesseq(X1,X2)
& lesseq(X0,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ub(X0,X1,X2)
<=> ( lesseq(X1,X2)
& lesseq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub) ).
fof(f62,plain,
! [X2,X0,X1] :
( ub(X0,X1,sK5(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(X3,X2)
| ~ ub(X0,X1,X3) ) )
& ( ( lesseq(sK5(X0,X1,X2),X2)
& ub(X0,X1,sK5(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ? [X4] :
( lesseq(X4,X2)
& ub(X0,X1,X4) )
=> ( lesseq(sK5(X0,X1,X2),X2)
& ub(X0,X1,sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(X3,X2)
| ~ ub(X0,X1,X3) ) )
& ( ? [X4] :
( lesseq(X4,X2)
& ub(X0,X1,X4) )
| ~ model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ lesseq(X3,X2)
| ~ ub(X0,X1,X3) ) )
& ( ? [X3] :
( lesseq(X3,X2)
& ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( model_ub(X0,X1,X2)
<=> ? [X3] :
( lesseq(X3,X2)
& ub(X0,X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3] :
( model_ub(X0,X1,X3)
<=> ? [X2] :
( lesseq(X2,X3)
& ub(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_2) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ lesseq(X3,sK5(X0,X1,X2))
| lesseq(X3,X2)
| ~ model_ub(X0,X1,X2) ),
inference(resolution,[],[f63,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ lesseq(X1,X2)
| lesseq(X0,X2)
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( lesseq(X1,X2)
& lesseq(X0,X1) )
=> lesseq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans) ).
fof(f63,plain,
! [X2,X0,X1] :
( lesseq(sK5(X0,X1,X2),X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1294,plain,
( model_ub(sK0,sK1,sK2)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f4209,plain,
( ~ spl6_8
| spl6_36 ),
inference(avatar_split_clause,[],[f4208,f1265,f161]) ).
fof(f161,plain,
( spl6_8
<=> lesseq(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f1265,plain,
( spl6_36
<=> ub(sK0,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f4208,plain,
( ~ lesseq(sK0,sK1)
| spl6_36 ),
inference(subsumption_resolution,[],[f2651,f59]) ).
fof(f59,plain,
! [X0] : lesseq(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : lesseq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref) ).
fof(f2651,plain,
( ~ lesseq(sK1,sK1)
| ~ lesseq(sK0,sK1)
| spl6_36 ),
inference(resolution,[],[f1266,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ub(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1266,plain,
( ~ ub(sK0,sK1,sK1)
| spl6_36 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f4174,plain,
( spl6_7
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f4144,f1293,f156]) ).
fof(f156,plain,
( spl6_7
<=> lesseq(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f4144,plain,
( lesseq(sK0,sK2)
| ~ spl6_38 ),
inference(resolution,[],[f1294,f331]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ model_ub(X0,X2,X1)
| lesseq(X0,X1) ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( lesseq(X0,X1)
| ~ model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X1) ),
inference(resolution,[],[f124,f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( lesseq(X0,sK5(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(resolution,[],[f62,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f4119,plain,
( ~ spl6_15
| spl6_16
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f4116,f165,f261,f257]) ).
fof(f257,plain,
( spl6_15
<=> lesseq(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f261,plain,
( spl6_16
<=> sK1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f4116,plain,
( sK1 = sK2
| ~ lesseq(sK2,sK1)
| ~ spl6_9 ),
inference(resolution,[],[f166,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| X0 = X1
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( lesseq(X1,X0)
& lesseq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f166,plain,
( lesseq(sK1,sK2)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f4067,plain,
( spl6_38
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f4066,f72,f1293]) ).
fof(f72,plain,
( spl6_1
<=> minsol_model_ub(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f4066,plain,
( model_ub(sK0,sK1,sK2)
| ~ spl6_1 ),
inference(resolution,[],[f73,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ( ~ lesseq(X2,sK4(X0,X1,X2))
& model_ub(X0,X1,sK4(X0,X1,X2)) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
=> ( ~ lesseq(X2,sK4(X0,X1,X2))
& model_ub(X0,X1,sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) )
| ~ model_ub(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) )
& model_ub(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3] :
( model_ub(X0,X1,X3)
=> lesseq(X2,X3) )
& model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X3] :
( minsol_model_ub(X0,X1,X3)
<=> ( ! [X2] :
( model_ub(X0,X1,X2)
=> lesseq(X3,X2) )
& model_ub(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f73,plain,
( minsol_model_ub(sK0,sK1,sK2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f4028,plain,
( spl6_2
| ~ spl6_6
| ~ spl6_14
| ~ spl6_61 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4027,plain,
( $false
| spl6_2
| ~ spl6_6
| ~ spl6_14
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f4026,f2336]) ).
fof(f2336,plain,
( model_max(sK0,sK1,sK0)
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl6_61
<=> model_max(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f4026,plain,
( ~ model_max(sK0,sK1,sK0)
| spl6_2
| ~ spl6_6
| ~ spl6_14
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f4022,f3957]) ).
fof(f3957,plain,
( ~ minsol_model_max(sK0,sK1,sK0)
| spl6_2
| ~ spl6_14 ),
inference(forward_demodulation,[],[f78,f213]) ).
fof(f213,plain,
( sK0 = sK2
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl6_14
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f78,plain,
( ~ minsol_model_max(sK0,sK1,sK2)
| spl6_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl6_2
<=> minsol_model_max(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f4022,plain,
( minsol_model_max(sK0,sK1,sK0)
| ~ model_max(sK0,sK1,sK0)
| spl6_2
| ~ spl6_6
| ~ spl6_14
| ~ spl6_61 ),
inference(resolution,[],[f3967,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ lesseq(X2,sK3(X0,X1,X2))
| minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ( ~ lesseq(X2,sK3(X0,X1,X2))
& model_max(X0,X1,sK3(X0,X1,X2)) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
=> ( ~ lesseq(X2,sK3(X0,X1,X2))
& model_max(X0,X1,sK3(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) )
| ~ model_max(X0,X1,X2) )
& ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( ! [X3] :
( model_max(X0,X1,X3)
=> lesseq(X2,X3) )
& model_max(X0,X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X3] :
( minsol_model_max(X0,X1,X3)
<=> ( ! [X2] :
( model_max(X0,X1,X2)
=> lesseq(X3,X2) )
& model_max(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f3967,plain,
( lesseq(sK0,sK3(sK0,sK1,sK0))
| spl6_2
| ~ spl6_6
| ~ spl6_14
| ~ spl6_61 ),
inference(subsumption_resolution,[],[f3966,f2336]) ).
fof(f3966,plain,
( lesseq(sK0,sK3(sK0,sK1,sK0))
| ~ model_max(sK0,sK1,sK0)
| spl6_2
| ~ spl6_6
| ~ spl6_14 ),
inference(subsumption_resolution,[],[f3959,f153]) ).
fof(f153,plain,
( lesseq(sK1,sK0)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl6_6
<=> lesseq(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f3959,plain,
( ~ lesseq(sK1,sK0)
| lesseq(sK0,sK3(sK0,sK1,sK0))
| ~ model_max(sK0,sK1,sK0)
| spl6_2
| ~ spl6_14 ),
inference(resolution,[],[f3957,f241]) ).
fof(f241,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
| ~ lesseq(X1,X0)
| lesseq(X0,sK3(X0,X1,X2))
| ~ model_max(X0,X1,X2) ),
inference(resolution,[],[f101,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( model_max(X0,X1,sK3(X0,X1,X2))
| minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ model_max(X0,X1,X2)
| lesseq(X0,X2)
| ~ lesseq(X1,X0) ),
inference(superposition,[],[f60,f66]) ).
fof(f66,plain,
! [X0,X1] :
( max(X0,X1) = X0
| ~ lesseq(X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1) ).
fof(f60,plain,
! [X2,X0,X1] :
( lesseq(max(X0,X1),X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( model_max(X0,X1,X2)
| ~ lesseq(max(X0,X1),X2) )
& ( lesseq(max(X0,X1),X2)
| ~ model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( model_max(X0,X1,X2)
<=> lesseq(max(X0,X1),X2) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X3] :
( model_max(X0,X1,X3)
<=> lesseq(max(X0,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_2) ).
fof(f3953,plain,
( ~ spl6_102
| ~ spl6_96
| ~ spl6_98 ),
inference(avatar_split_clause,[],[f3952,f2632,f2624,f2789]) ).
fof(f2789,plain,
( spl6_102
<=> lesseq(sK0,sK4(sK0,sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f2624,plain,
( spl6_96
<=> ! [X0] :
( ~ model_max(X0,sK0,sK4(sK0,sK1,sK0))
| ~ lesseq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f2632,plain,
( spl6_98
<=> lesseq(sK4(sK0,sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f3952,plain,
( ~ lesseq(sK0,sK4(sK0,sK1,sK0))
| ~ spl6_96
| ~ spl6_98 ),
inference(subsumption_resolution,[],[f3335,f2634]) ).
fof(f2634,plain,
( lesseq(sK4(sK0,sK1,sK0),sK0)
| ~ spl6_98 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f3335,plain,
( ~ lesseq(sK4(sK0,sK1,sK0),sK0)
| ~ lesseq(sK0,sK4(sK0,sK1,sK0))
| ~ spl6_96 ),
inference(resolution,[],[f2625,f215]) ).
fof(f215,plain,
! [X0,X1] :
( model_max(X0,X1,X0)
| ~ lesseq(X1,X0) ),
inference(superposition,[],[f106,f66]) ).
fof(f106,plain,
! [X0,X1] : model_max(X0,X1,max(X0,X1)),
inference(resolution,[],[f61,f59]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ lesseq(max(X0,X1),X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f2625,plain,
( ! [X0] :
( ~ model_max(X0,sK0,sK4(sK0,sK1,sK0))
| ~ lesseq(X0,sK0) )
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f3942,plain,
( spl6_102
| ~ spl6_104 ),
inference(avatar_split_clause,[],[f3899,f3875,f2789]) ).
fof(f3875,plain,
( spl6_104
<=> model_ub(sK0,sK1,sK4(sK0,sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f3899,plain,
( lesseq(sK0,sK4(sK0,sK1,sK0))
| ~ spl6_104 ),
inference(resolution,[],[f3876,f331]) ).
fof(f3876,plain,
( model_ub(sK0,sK1,sK4(sK0,sK1,sK0))
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f3888,plain,
( spl6_1
| ~ spl6_14
| ~ spl6_93
| spl6_104 ),
inference(avatar_contradiction_clause,[],[f3887]) ).
fof(f3887,plain,
( $false
| spl6_1
| ~ spl6_14
| ~ spl6_93
| spl6_104 ),
inference(subsumption_resolution,[],[f3886,f2612]) ).
fof(f2612,plain,
( model_ub(sK0,sK1,sK0)
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f2611]) ).
fof(f2611,plain,
( spl6_93
<=> model_ub(sK0,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f3886,plain,
( ~ model_ub(sK0,sK1,sK0)
| spl6_1
| ~ spl6_14
| spl6_104 ),
inference(subsumption_resolution,[],[f3883,f2594]) ).
fof(f2594,plain,
( ~ minsol_model_ub(sK0,sK1,sK0)
| spl6_1
| ~ spl6_14 ),
inference(backward_demodulation,[],[f74,f213]) ).
fof(f74,plain,
( ~ minsol_model_ub(sK0,sK1,sK2)
| spl6_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f3883,plain,
( minsol_model_ub(sK0,sK1,sK0)
| ~ model_ub(sK0,sK1,sK0)
| spl6_104 ),
inference(resolution,[],[f3877,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( model_ub(X0,X1,sK4(X0,X1,X2))
| minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f3877,plain,
( ~ model_ub(sK0,sK1,sK4(sK0,sK1,sK0))
| spl6_104 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f3286,plain,
( ~ spl6_6
| spl6_93 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3285,plain,
( $false
| ~ spl6_6
| spl6_93 ),
inference(subsumption_resolution,[],[f3284,f59]) ).
fof(f3284,plain,
( ~ lesseq(sK0,sK0)
| ~ spl6_6
| spl6_93 ),
inference(subsumption_resolution,[],[f3267,f153]) ).
fof(f3267,plain,
( ~ lesseq(sK1,sK0)
| ~ lesseq(sK0,sK0)
| spl6_93 ),
inference(resolution,[],[f2654,f59]) ).
fof(f2654,plain,
( ! [X0] :
( ~ lesseq(sK0,X0)
| ~ lesseq(sK1,X0)
| ~ lesseq(X0,sK0) )
| spl6_93 ),
inference(resolution,[],[f2613,f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( model_ub(X2,X3,X1)
| ~ lesseq(X0,X1)
| ~ lesseq(X3,X0)
| ~ lesseq(X2,X0) ),
inference(resolution,[],[f64,f69]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ ub(X0,X1,X3)
| ~ lesseq(X3,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f2613,plain,
( ~ model_ub(sK0,sK1,sK0)
| spl6_93 ),
inference(avatar_component_clause,[],[f2611]) ).
fof(f2667,plain,
( spl6_61
| ~ spl6_4
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2666,f211,f135,f2335]) ).
fof(f135,plain,
( spl6_4
<=> lesseq(max(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f2666,plain,
( model_max(sK0,sK1,sK0)
| ~ spl6_4
| ~ spl6_14 ),
inference(forward_demodulation,[],[f171,f213]) ).
fof(f171,plain,
( model_max(sK0,sK1,sK2)
| ~ spl6_4 ),
inference(resolution,[],[f136,f61]) ).
fof(f136,plain,
( lesseq(max(sK0,sK1),sK2)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f2635,plain,
( spl6_98
| ~ spl6_93
| spl6_1
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2609,f211,f72,f2611,f2632]) ).
fof(f2609,plain,
( ~ model_ub(sK0,sK1,sK0)
| lesseq(sK4(sK0,sK1,sK0),sK0)
| spl6_1
| ~ spl6_14 ),
inference(resolution,[],[f2594,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| lesseq(sK4(X0,X1,X2),X2) ),
inference(resolution,[],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ lesseq(X2,sK4(X0,X1,X2))
| minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2626,plain,
( ~ spl6_93
| spl6_96
| spl6_1
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2607,f211,f72,f2624,f2611]) ).
fof(f2607,plain,
( ! [X0] :
( ~ model_max(X0,sK0,sK4(sK0,sK1,sK0))
| ~ model_ub(sK0,sK1,sK0)
| ~ lesseq(X0,sK0) )
| spl6_1
| ~ spl6_14 ),
inference(resolution,[],[f2594,f392]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( minsol_model_ub(X2,X3,X1)
| ~ model_max(X0,X1,sK4(X2,X3,X1))
| ~ model_ub(X2,X3,X1)
| ~ lesseq(X0,X1) ),
inference(superposition,[],[f99,f65]) ).
fof(f65,plain,
! [X0,X1] :
( max(X0,X1) = X1
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( minsol_model_ub(X2,X3,max(X0,X1))
| ~ model_max(X0,X1,sK4(X2,X3,max(X0,X1)))
| ~ model_ub(X2,X3,max(X0,X1)) ),
inference(resolution,[],[f60,f56]) ).
fof(f2563,plain,
( ~ spl6_8
| spl6_9
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f2560,f76,f165,f161]) ).
fof(f2560,plain,
( lesseq(sK1,sK2)
| ~ lesseq(sK0,sK1)
| ~ spl6_2 ),
inference(resolution,[],[f1305,f102]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ model_max(X0,X1,X2)
| lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(superposition,[],[f60,f65]) ).
fof(f1305,plain,
( model_max(sK0,sK1,sK2)
| ~ spl6_2 ),
inference(resolution,[],[f77,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
( minsol_model_max(sK0,sK1,sK2)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f2556,plain,
( ~ spl6_13
| spl6_14
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f2553,f156,f211,f207]) ).
fof(f207,plain,
( spl6_13
<=> lesseq(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f2553,plain,
( sK0 = sK2
| ~ lesseq(sK2,sK0)
| ~ spl6_7 ),
inference(resolution,[],[f157,f70]) ).
fof(f157,plain,
( lesseq(sK0,sK2)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f2520,plain,
( ~ spl6_6
| ~ spl6_7
| spl6_14
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1346,f76,f211,f156,f152]) ).
fof(f1346,plain,
( sK0 = sK2
| ~ lesseq(sK0,sK2)
| ~ lesseq(sK1,sK0)
| ~ spl6_2 ),
inference(resolution,[],[f1328,f215]) ).
fof(f1328,plain,
( ! [X0] :
( ~ model_max(sK0,sK1,X0)
| sK2 = X0
| ~ lesseq(X0,sK2) )
| ~ spl6_2 ),
inference(resolution,[],[f1304,f70]) ).
fof(f1304,plain,
( ! [X0] :
( lesseq(sK2,X0)
| ~ model_max(sK0,sK1,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f77,f50]) ).
fof(f50,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X4)
| lesseq(X2,X4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f2508,plain,
( ~ spl6_6
| spl6_7
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f694,f135,f156,f152]) ).
fof(f694,plain,
( lesseq(sK0,sK2)
| ~ lesseq(sK1,sK0)
| ~ spl6_4 ),
inference(superposition,[],[f136,f66]) ).
fof(f2495,plain,
( ~ spl6_8
| spl6_16
| ~ spl6_2
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f1358,f165,f76,f261,f161]) ).
fof(f1358,plain,
( sK1 = sK2
| ~ lesseq(sK0,sK1)
| ~ spl6_2
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f1347,f166]) ).
fof(f1347,plain,
( sK1 = sK2
| ~ lesseq(sK1,sK2)
| ~ lesseq(sK0,sK1)
| ~ spl6_2 ),
inference(resolution,[],[f1328,f216]) ).
fof(f216,plain,
! [X0,X1] :
( model_max(X0,X1,X1)
| ~ lesseq(X0,X1) ),
inference(superposition,[],[f106,f65]) ).
fof(f2434,plain,
( ~ spl6_8
| ~ spl6_42
| spl6_45 ),
inference(avatar_split_clause,[],[f1808,f1761,f1710,f161]) ).
fof(f1710,plain,
( spl6_42
<=> lesseq(sK1,sK4(sK0,sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f1761,plain,
( spl6_45
<=> model_max(sK0,sK1,sK4(sK0,sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f1808,plain,
( ~ lesseq(sK1,sK4(sK0,sK1,sK1))
| ~ lesseq(sK0,sK1)
| spl6_45 ),
inference(resolution,[],[f1763,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( model_max(X0,X1,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X1) ),
inference(superposition,[],[f61,f65]) ).
fof(f1763,plain,
( ~ model_max(sK0,sK1,sK4(sK0,sK1,sK1))
| spl6_45 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f2301,plain,
( spl6_42
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f2263,f2237,f1710]) ).
fof(f2237,plain,
( spl6_53
<=> model_ub(sK0,sK1,sK4(sK0,sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f2263,plain,
( lesseq(sK1,sK4(sK0,sK1,sK1))
| ~ spl6_53 ),
inference(resolution,[],[f2238,f332]) ).
fof(f2238,plain,
( model_ub(sK0,sK1,sK4(sK0,sK1,sK1))
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f2251,plain,
( spl6_1
| ~ spl6_16
| ~ spl6_35
| spl6_53 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2250,plain,
( $false
| spl6_1
| ~ spl6_16
| ~ spl6_35
| spl6_53 ),
inference(subsumption_resolution,[],[f2249,f1262]) ).
fof(f1262,plain,
( model_ub(sK0,sK1,sK1)
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1261,plain,
( spl6_35
<=> model_ub(sK0,sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f2249,plain,
( ~ model_ub(sK0,sK1,sK1)
| spl6_1
| ~ spl6_16
| spl6_53 ),
inference(subsumption_resolution,[],[f2246,f1393]) ).
fof(f1393,plain,
( ~ minsol_model_ub(sK0,sK1,sK1)
| spl6_1
| ~ spl6_16 ),
inference(backward_demodulation,[],[f74,f263]) ).
fof(f263,plain,
( sK1 = sK2
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f2246,plain,
( minsol_model_ub(sK0,sK1,sK1)
| ~ model_ub(sK0,sK1,sK1)
| spl6_53 ),
inference(resolution,[],[f2239,f55]) ).
fof(f2239,plain,
( ~ model_ub(sK0,sK1,sK4(sK0,sK1,sK1))
| spl6_53 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f1787,plain,
( ~ spl6_45
| spl6_1
| ~ spl6_2
| ~ spl6_16
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f1786,f1265,f261,f76,f72,f1761]) ).
fof(f1786,plain,
( ~ model_max(sK0,sK1,sK4(sK0,sK1,sK1))
| spl6_1
| ~ spl6_2
| ~ spl6_16
| ~ spl6_36 ),
inference(subsumption_resolution,[],[f1785,f1393]) ).
fof(f1785,plain,
( minsol_model_ub(sK0,sK1,sK1)
| ~ model_max(sK0,sK1,sK4(sK0,sK1,sK1))
| ~ spl6_2
| ~ spl6_16
| ~ spl6_36 ),
inference(subsumption_resolution,[],[f1784,f59]) ).
fof(f1784,plain,
( ~ lesseq(sK1,sK1)
| minsol_model_ub(sK0,sK1,sK1)
| ~ model_max(sK0,sK1,sK4(sK0,sK1,sK1))
| ~ spl6_2
| ~ spl6_16
| ~ spl6_36 ),
inference(resolution,[],[f1741,f1458]) ).
fof(f1458,plain,
( ! [X0,X1] :
( ~ model_ub(X0,X1,sK1)
| minsol_model_ub(X0,X1,sK1)
| ~ model_max(sK0,sK1,sK4(X0,X1,sK1)) )
| ~ spl6_2
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1457,f263]) ).
fof(f1457,plain,
( ! [X0,X1] :
( minsol_model_ub(X0,X1,sK1)
| ~ model_max(sK0,sK1,sK4(X0,X1,sK1))
| ~ model_ub(X0,X1,sK2) )
| ~ spl6_2
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1456,f263]) ).
fof(f1456,plain,
( ! [X0,X1] :
( ~ model_max(sK0,sK1,sK4(X0,X1,sK1))
| minsol_model_ub(X0,X1,sK2)
| ~ model_ub(X0,X1,sK2) )
| ~ spl6_2
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1334,f263]) ).
fof(f1334,plain,
( ! [X0,X1] :
( ~ model_max(sK0,sK1,sK4(X0,X1,sK2))
| minsol_model_ub(X0,X1,sK2)
| ~ model_ub(X0,X1,sK2) )
| ~ spl6_2 ),
inference(resolution,[],[f1304,f56]) ).
fof(f1741,plain,
( ! [X0] :
( model_ub(sK0,sK1,X0)
| ~ lesseq(sK1,X0) )
| ~ spl6_36 ),
inference(resolution,[],[f1267,f64]) ).
fof(f1267,plain,
( ub(sK0,sK1,sK1)
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1701,plain,
( ~ spl6_8
| spl6_35 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1700,plain,
( $false
| ~ spl6_8
| spl6_35 ),
inference(subsumption_resolution,[],[f1699,f59]) ).
fof(f1699,plain,
( ~ lesseq(sK0,sK0)
| ~ spl6_8
| spl6_35 ),
inference(subsumption_resolution,[],[f1680,f59]) ).
fof(f1680,plain,
( ~ lesseq(sK1,sK1)
| ~ lesseq(sK0,sK0)
| ~ spl6_8
| spl6_35 ),
inference(duplicate_literal_removal,[],[f1675]) ).
fof(f1675,plain,
( ~ lesseq(sK1,sK1)
| ~ lesseq(sK1,sK1)
| ~ lesseq(sK0,sK0)
| ~ spl6_8
| spl6_35 ),
inference(resolution,[],[f1451,f535]) ).
fof(f535,plain,
( ! [X0] :
( lesseq(X0,sK1)
| ~ lesseq(X0,sK0) )
| ~ spl6_8 ),
inference(resolution,[],[f162,f58]) ).
fof(f162,plain,
( lesseq(sK0,sK1)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f1451,plain,
( ! [X0] :
( ~ lesseq(sK0,X0)
| ~ lesseq(sK1,X0)
| ~ lesseq(X0,sK1) )
| spl6_35 ),
inference(resolution,[],[f1263,f191]) ).
fof(f1263,plain,
( ~ model_ub(sK0,sK1,sK1)
| spl6_35 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1360,plain,
( spl6_16
| ~ spl6_2
| ~ spl6_8
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f1359,f165,f161,f76,f261]) ).
fof(f1359,plain,
( sK1 = sK2
| ~ spl6_2
| ~ spl6_8
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f1358,f162]) ).
fof(f1250,plain,
( spl6_2
| ~ spl6_4
| ~ spl6_8
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| spl6_2
| ~ spl6_4
| ~ spl6_8
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1248,f798]) ).
fof(f798,plain,
( model_max(sK0,sK1,sK1)
| ~ spl6_4
| ~ spl6_16 ),
inference(backward_demodulation,[],[f171,f263]) ).
fof(f1248,plain,
( ~ model_max(sK0,sK1,sK1)
| spl6_2
| ~ spl6_4
| ~ spl6_8
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1244,f792]) ).
fof(f792,plain,
( ~ minsol_model_max(sK0,sK1,sK1)
| spl6_2
| ~ spl6_16 ),
inference(backward_demodulation,[],[f78,f263]) ).
fof(f1244,plain,
( minsol_model_max(sK0,sK1,sK1)
| ~ model_max(sK0,sK1,sK1)
| spl6_2
| ~ spl6_4
| ~ spl6_8
| ~ spl6_16 ),
inference(resolution,[],[f1243,f52]) ).
fof(f1243,plain,
( lesseq(sK1,sK3(sK0,sK1,sK1))
| spl6_2
| ~ spl6_4
| ~ spl6_8
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1242,f798]) ).
fof(f1242,plain,
( lesseq(sK1,sK3(sK0,sK1,sK1))
| ~ model_max(sK0,sK1,sK1)
| spl6_2
| ~ spl6_8
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1240,f162]) ).
fof(f1240,plain,
( ~ lesseq(sK0,sK1)
| lesseq(sK1,sK3(sK0,sK1,sK1))
| ~ model_max(sK0,sK1,sK1)
| spl6_2
| ~ spl6_16 ),
inference(resolution,[],[f250,f792]) ).
fof(f250,plain,
! [X2,X0,X1] :
( minsol_model_max(X1,X0,X2)
| ~ lesseq(X1,X0)
| lesseq(X0,sK3(X1,X0,X2))
| ~ model_max(X1,X0,X2) ),
inference(resolution,[],[f102,f51]) ).
fof(f767,plain,
( spl6_15
| ~ spl6_1
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f756,f161,f72,f257]) ).
fof(f756,plain,
( lesseq(sK2,sK1)
| ~ spl6_1
| ~ spl6_8 ),
inference(resolution,[],[f577,f59]) ).
fof(f577,plain,
( ! [X0] :
( ~ lesseq(sK1,X0)
| lesseq(sK2,X0) )
| ~ spl6_1
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f571,f59]) ).
fof(f571,plain,
( ! [X0] :
( ~ lesseq(sK1,sK1)
| ~ lesseq(sK1,X0)
| lesseq(sK2,X0) )
| ~ spl6_1
| ~ spl6_8 ),
inference(resolution,[],[f333,f162]) ).
fof(f333,plain,
( ! [X0,X1] :
( ~ lesseq(sK0,X0)
| ~ lesseq(sK1,X0)
| ~ lesseq(X0,X1)
| lesseq(sK2,X1) )
| ~ spl6_1 ),
inference(resolution,[],[f191,f169]) ).
fof(f169,plain,
( ! [X0] :
( ~ model_ub(sK0,sK1,X0)
| lesseq(sK2,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f73,f54]) ).
fof(f54,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X4)
| lesseq(X2,X4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f528,plain,
( spl6_8
| spl6_6 ),
inference(avatar_split_clause,[],[f527,f152,f161]) ).
fof(f527,plain,
( lesseq(sK0,sK1)
| spl6_6 ),
inference(resolution,[],[f154,f57]) ).
fof(f154,plain,
( ~ lesseq(sK1,sK0)
| spl6_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f419,plain,
( spl6_13
| ~ spl6_1
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f410,f152,f72,f207]) ).
fof(f410,plain,
( lesseq(sK2,sK0)
| ~ spl6_1
| ~ spl6_6 ),
inference(resolution,[],[f406,f59]) ).
fof(f406,plain,
( ! [X0] :
( ~ lesseq(sK0,X0)
| lesseq(sK2,X0) )
| ~ spl6_1
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f399,f153]) ).
fof(f399,plain,
( ! [X0] :
( ~ lesseq(sK1,sK0)
| ~ lesseq(sK0,X0)
| lesseq(sK2,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f333,f59]) ).
fof(f168,plain,
( ~ spl6_8
| ~ spl6_9
| spl6_4 ),
inference(avatar_split_clause,[],[f148,f135,f165,f161]) ).
fof(f148,plain,
( ~ lesseq(sK1,sK2)
| ~ lesseq(sK0,sK1)
| spl6_4 ),
inference(superposition,[],[f137,f65]) ).
fof(f137,plain,
( ~ lesseq(max(sK0,sK1),sK2)
| spl6_4 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f159,plain,
( ~ spl6_6
| ~ spl6_7
| spl6_4 ),
inference(avatar_split_clause,[],[f147,f135,f156,f152]) ).
fof(f147,plain,
( ~ lesseq(sK0,sK2)
| ~ lesseq(sK1,sK0)
| spl6_4 ),
inference(superposition,[],[f137,f66]) ).
fof(f150,plain,
( ~ spl6_2
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f149]) ).
fof(f149,plain,
( $false
| ~ spl6_2
| spl6_4 ),
inference(subsumption_resolution,[],[f145,f81]) ).
fof(f81,plain,
( model_max(sK0,sK1,sK2)
| ~ spl6_2 ),
inference(resolution,[],[f49,f77]) ).
fof(f145,plain,
( ~ model_max(sK0,sK1,sK2)
| spl6_4 ),
inference(resolution,[],[f137,f60]) ).
fof(f80,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f47,f76,f72]) ).
fof(f47,plain,
( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) )
& ( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) )
=> ( ( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) )
& ( minsol_model_max(sK0,sK1,sK2)
| minsol_model_ub(sK0,sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<~> minsol_model_max(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f79,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f48,f76,f72]) ).
fof(f48,plain,
( ~ minsol_model_max(sK0,sK1,sK2)
| ~ minsol_model_ub(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM859+1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 04:14:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.53/0.72 % (21373)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 (2996ds/83Mi)
% 0.53/0.72 % (21367)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 (2996ds/34Mi)
% 0.53/0.72 % (21369)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.72 % (21368)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 (2996ds/51Mi)
% 0.53/0.73 % (21370)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.73 % (21367)Refutation not found, incomplete strategy% (21367)------------------------------
% 0.53/0.73 % (21367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (21370)Refutation not found, incomplete strategy% (21370)------------------------------
% 0.53/0.73 % (21370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73 % (21370)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (21370)Memory used [KB]: 958
% 0.53/0.73 % (21370)Time elapsed: 0.003 s
% 0.53/0.73 % (21370)Instructions burned: 2 (million)
% 0.53/0.73 % (21367)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73
% 0.53/0.73 % (21367)Memory used [KB]: 972
% 0.53/0.73 % (21367)Time elapsed: 0.003 s
% 0.53/0.73 % (21367)Instructions burned: 3 (million)
% 0.53/0.73 % (21370)------------------------------
% 0.53/0.73 % (21370)------------------------------
% 0.53/0.73 % (21367)------------------------------
% 0.53/0.73 % (21367)------------------------------
% 0.53/0.73 % (21371)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 (2996ds/34Mi)
% 0.53/0.73 % (21372)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.73 % (21375)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 (2996ds/55Mi)
% 0.53/0.74 % (21374)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 (2996ds/56Mi)
% 0.53/0.74 % (21374)Refutation not found, incomplete strategy% (21374)------------------------------
% 0.53/0.74 % (21374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (21374)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (21374)Memory used [KB]: 1040
% 0.53/0.74 % (21374)Time elapsed: 0.007 s
% 0.53/0.74 % (21374)Instructions burned: 3 (million)
% 0.53/0.74 % (21374)------------------------------
% 0.53/0.74 % (21374)------------------------------
% 0.57/0.74 % (21376)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 (2996ds/50Mi)
% 0.57/0.74 % (21371)Instruction limit reached!
% 0.57/0.74 % (21371)------------------------------
% 0.57/0.74 % (21371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (21371)Termination reason: Unknown
% 0.57/0.74 % (21371)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (21371)Memory used [KB]: 1196
% 0.57/0.74 % (21371)Time elapsed: 0.019 s
% 0.57/0.74 % (21371)Instructions burned: 34 (million)
% 0.57/0.74 % (21371)------------------------------
% 0.57/0.74 % (21371)------------------------------
% 0.57/0.75 % (21378)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 (2996ds/52Mi)
% 0.57/0.75 % (21377)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 (2996ds/208Mi)
% 0.60/0.75 % (21377)Refutation not found, incomplete strategy% (21377)------------------------------
% 0.60/0.75 % (21377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (21377)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (21377)Memory used [KB]: 972
% 0.60/0.75 % (21377)Time elapsed: 0.003 s
% 0.60/0.75 % (21377)Instructions burned: 2 (million)
% 0.60/0.75 % (21377)------------------------------
% 0.60/0.75 % (21377)------------------------------
% 0.60/0.75 % (21373)Instruction limit reached!
% 0.60/0.75 % (21373)------------------------------
% 0.60/0.75 % (21373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (21373)Termination reason: Unknown
% 0.60/0.75 % (21373)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (21373)Memory used [KB]: 1971
% 0.60/0.75 % (21373)Time elapsed: 0.030 s
% 0.60/0.75 % (21373)Instructions burned: 85 (million)
% 0.60/0.75 % (21373)------------------------------
% 0.60/0.75 % (21373)------------------------------
% 0.60/0.75 % (21368)Instruction limit reached!
% 0.60/0.75 % (21368)------------------------------
% 0.60/0.75 % (21368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (21368)Termination reason: Unknown
% 0.60/0.75 % (21368)Termination phase: Saturation
% 0.60/0.75
% 0.60/0.75 % (21368)Memory used [KB]: 1267
% 0.60/0.75 % (21368)Time elapsed: 0.031 s
% 0.60/0.75 % (21368)Instructions burned: 52 (million)
% 0.60/0.75 % (21368)------------------------------
% 0.60/0.75 % (21368)------------------------------
% 0.60/0.76 % (21380)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 (2996ds/42Mi)
% 0.60/0.76 % (21382)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 (2995ds/243Mi)
% 0.60/0.76 % (21372)Instruction limit reached!
% 0.60/0.76 % (21372)------------------------------
% 0.60/0.76 % (21372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (21372)Termination reason: Unknown
% 0.60/0.76 % (21372)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (21372)Memory used [KB]: 1218
% 0.60/0.76 % (21372)Time elapsed: 0.029 s
% 0.60/0.76 % (21372)Instructions burned: 46 (million)
% 0.60/0.76 % (21372)------------------------------
% 0.60/0.76 % (21372)------------------------------
% 0.60/0.77 % (21375)Instruction limit reached!
% 0.60/0.77 % (21375)------------------------------
% 0.60/0.77 % (21375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21375)Termination reason: Unknown
% 0.60/0.77 % (21375)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (21375)Memory used [KB]: 1743
% 0.60/0.77 % (21375)Time elapsed: 0.038 s
% 0.60/0.77 % (21375)Instructions burned: 55 (million)
% 0.60/0.77 % (21375)------------------------------
% 0.60/0.77 % (21375)------------------------------
% 0.60/0.77 % (21383)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 (2995ds/117Mi)
% 0.60/0.77 % (21379)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 (2996ds/518Mi)
% 0.60/0.77 % (21380)Instruction limit reached!
% 0.60/0.77 % (21380)------------------------------
% 0.60/0.77 % (21380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21380)Termination reason: Unknown
% 0.60/0.77 % (21380)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (21380)Memory used [KB]: 1370
% 0.60/0.77 % (21380)Time elapsed: 0.016 s
% 0.60/0.77 % (21380)Instructions burned: 43 (million)
% 0.60/0.77 % (21380)------------------------------
% 0.60/0.77 % (21380)------------------------------
% 0.60/0.77 % (21376)Instruction limit reached!
% 0.60/0.77 % (21376)------------------------------
% 0.60/0.77 % (21376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21376)Termination reason: Unknown
% 0.60/0.77 % (21376)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (21376)Memory used [KB]: 1295
% 0.60/0.77 % (21376)Time elapsed: 0.029 s
% 0.60/0.77 % (21376)Instructions burned: 50 (million)
% 0.60/0.77 % (21376)------------------------------
% 0.60/0.77 % (21376)------------------------------
% 0.60/0.77 % (21385)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 (2995ds/93Mi)
% 0.60/0.77 % (21369)Instruction limit reached!
% 0.60/0.77 % (21369)------------------------------
% 0.60/0.77 % (21369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21369)Termination reason: Unknown
% 0.60/0.77 % (21369)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (21369)Memory used [KB]: 1420
% 0.60/0.77 % (21369)Time elapsed: 0.050 s
% 0.60/0.77 % (21369)Instructions burned: 79 (million)
% 0.60/0.77 % (21369)------------------------------
% 0.60/0.77 % (21369)------------------------------
% 0.60/0.77 % (21384)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 (2995ds/143Mi)
% 0.60/0.77 % (21378)Instruction limit reached!
% 0.60/0.77 % (21378)------------------------------
% 0.60/0.77 % (21378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (21378)Termination reason: Unknown
% 0.60/0.77 % (21378)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (21378)Memory used [KB]: 1493
% 0.60/0.77 % (21378)Time elapsed: 0.028 s
% 0.60/0.77 % (21378)Instructions burned: 52 (million)
% 0.60/0.77 % (21378)------------------------------
% 0.60/0.77 % (21378)------------------------------
% 0.60/0.78 % (21386)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 (2995ds/62Mi)
% 0.60/0.78 % (21387)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.60/0.78 % (21388)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.60/0.79 % (21387)Instruction limit reached!
% 0.60/0.79 % (21387)------------------------------
% 0.60/0.79 % (21387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (21387)Termination reason: Unknown
% 0.60/0.79 % (21387)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (21387)Memory used [KB]: 1192
% 0.60/0.79 % (21387)Time elapsed: 0.013 s
% 0.60/0.79 % (21387)Instructions burned: 35 (million)
% 0.60/0.79 % (21387)------------------------------
% 0.60/0.79 % (21387)------------------------------
% 0.60/0.79 % (21389)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.87/0.80 % (21385)Instruction limit reached!
% 0.87/0.80 % (21385)------------------------------
% 0.87/0.80 % (21385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.80 % (21385)Termination reason: Unknown
% 0.87/0.80 % (21385)Termination phase: Saturation
% 0.87/0.80
% 0.87/0.80 % (21385)Memory used [KB]: 1544
% 0.87/0.80 % (21385)Time elapsed: 0.031 s
% 0.87/0.80 % (21385)Instructions burned: 93 (million)
% 0.87/0.80 % (21385)------------------------------
% 0.87/0.80 % (21385)------------------------------
% 0.87/0.81 % (21390)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.87/0.81 % (21386)Instruction limit reached!
% 0.87/0.81 % (21386)------------------------------
% 0.87/0.81 % (21386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.81 % (21386)Termination reason: Unknown
% 0.87/0.81 % (21386)Termination phase: Saturation
% 0.87/0.81
% 0.87/0.81 % (21386)Memory used [KB]: 1875
% 0.87/0.81 % (21386)Time elapsed: 0.035 s
% 0.87/0.81 % (21390)Refutation not found, incomplete strategy% (21390)------------------------------
% 0.87/0.81 % (21390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.81 % (21390)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.81
% 0.87/0.81 % (21390)Memory used [KB]: 975
% 0.87/0.81 % (21390)Time elapsed: 0.003 s
% 0.87/0.81 % (21390)Instructions burned: 3 (million)
% 0.87/0.81 % (21386)Instructions burned: 63 (million)
% 0.87/0.81 % (21386)------------------------------
% 0.87/0.81 % (21386)------------------------------
% 0.87/0.81 % (21390)------------------------------
% 0.87/0.81 % (21390)------------------------------
% 0.87/0.81 % (21389)Instruction limit reached!
% 0.87/0.81 % (21389)------------------------------
% 0.87/0.81 % (21389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.81 % (21389)Termination reason: Unknown
% 0.87/0.81 % (21389)Termination phase: Saturation
% 0.87/0.81
% 0.87/0.81 % (21389)Memory used [KB]: 1755
% 0.87/0.81 % (21389)Time elapsed: 0.020 s
% 0.87/0.81 % (21389)Instructions burned: 58 (million)
% 0.87/0.81 % (21389)------------------------------
% 0.87/0.81 % (21389)------------------------------
% 0.87/0.81 % (21393)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.87/0.81 % (21391)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.87/0.81 % (21393)Refutation not found, incomplete strategy% (21393)------------------------------
% 0.87/0.81 % (21393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.81 % (21393)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.81
% 0.87/0.81 % (21393)Memory used [KB]: 986
% 0.87/0.81 % (21393)Time elapsed: 0.002 s
% 0.87/0.81 % (21393)Instructions burned: 5 (million)
% 0.87/0.81 % (21393)------------------------------
% 0.87/0.81 % (21393)------------------------------
% 0.87/0.82 % (21395)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.87/0.82 % (21392)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.87/0.82 % (21392)Refutation not found, incomplete strategy% (21392)------------------------------
% 0.87/0.82 % (21392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.82 % (21392)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.82
% 0.87/0.82 % (21392)Memory used [KB]: 975
% 0.87/0.82 % (21392)Time elapsed: 0.003 s
% 0.87/0.82 % (21392)Instructions burned: 3 (million)
% 0.87/0.82 % (21392)------------------------------
% 0.87/0.82 % (21392)------------------------------
% 0.87/0.83 % (21396)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.87/0.83 % (21383)Instruction limit reached!
% 0.87/0.83 % (21383)------------------------------
% 0.87/0.83 % (21383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.83 % (21383)Termination reason: Unknown
% 0.87/0.83 % (21383)Termination phase: Saturation
% 0.87/0.83
% 0.87/0.83 % (21383)Memory used [KB]: 1787
% 0.87/0.83 % (21383)Time elapsed: 0.064 s
% 0.87/0.83 % (21383)Instructions burned: 119 (million)
% 0.87/0.83 % (21383)------------------------------
% 0.87/0.83 % (21383)------------------------------
% 0.87/0.83 % (21397)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.87/0.84 % (21391)Instruction limit reached!
% 0.87/0.84 % (21391)------------------------------
% 0.87/0.84 % (21391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.84 % (21391)Termination reason: Unknown
% 0.87/0.84 % (21391)Termination phase: Saturation
% 0.87/0.84
% 0.87/0.84 % (21391)Memory used [KB]: 2161
% 0.87/0.84 % (21391)Time elapsed: 0.027 s
% 0.87/0.84 % (21391)Instructions burned: 47 (million)
% 0.87/0.84 % (21391)------------------------------
% 0.87/0.84 % (21391)------------------------------
% 0.87/0.84 % (21384)Instruction limit reached!
% 0.87/0.84 % (21384)------------------------------
% 0.87/0.84 % (21384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.84 % (21384)Termination reason: Unknown
% 0.87/0.84 % (21384)Termination phase: Saturation
% 0.87/0.84
% 0.87/0.84 % (21384)Memory used [KB]: 1476
% 0.87/0.84 % (21384)Time elapsed: 0.067 s
% 0.87/0.84 % (21384)Instructions burned: 144 (million)
% 0.87/0.84 % (21384)------------------------------
% 0.87/0.84 % (21384)------------------------------
% 0.87/0.84 % (21398)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.87/0.84 % (21399)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.87/0.85 % (21395)Instruction limit reached!
% 0.87/0.85 % (21395)------------------------------
% 0.87/0.85 % (21395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.85 % (21395)Termination reason: Unknown
% 0.87/0.85 % (21395)Termination phase: Saturation
% 0.87/0.85
% 0.87/0.85 % (21395)Memory used [KB]: 1526
% 0.87/0.85 % (21395)Time elapsed: 0.034 s
% 0.87/0.85 % (21395)Instructions burned: 89 (million)
% 0.87/0.85 % (21395)------------------------------
% 0.87/0.85 % (21395)------------------------------
% 1.18/0.85 % (21400)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 1.18/0.86 % (21399)Instruction limit reached!
% 1.18/0.86 % (21399)------------------------------
% 1.18/0.86 % (21399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.86 % (21399)Termination reason: Unknown
% 1.18/0.86 % (21399)Termination phase: Saturation
% 1.18/0.86
% 1.18/0.86 % (21399)Memory used [KB]: 1290
% 1.18/0.86 % (21399)Time elapsed: 0.015 s
% 1.18/0.86 % (21399)Instructions burned: 40 (million)
% 1.18/0.86 % (21399)------------------------------
% 1.18/0.86 % (21399)------------------------------
% 1.18/0.86 % (21401)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 1.18/0.87 % (21398)Instruction limit reached!
% 1.18/0.87 % (21398)------------------------------
% 1.18/0.87 % (21398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.87 % (21398)Termination reason: Unknown
% 1.18/0.87 % (21398)Termination phase: Saturation
% 1.18/0.87
% 1.18/0.87 % (21398)Memory used [KB]: 1459
% 1.18/0.87 % (21398)Time elapsed: 0.033 s
% 1.18/0.87 % (21398)Instructions burned: 71 (million)
% 1.18/0.87 % (21398)------------------------------
% 1.18/0.87 % (21398)------------------------------
% 1.18/0.87 % (21397)Instruction limit reached!
% 1.18/0.87 % (21397)------------------------------
% 1.18/0.87 % (21397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.87 % (21397)Termination reason: Unknown
% 1.18/0.87 % (21397)Termination phase: Saturation
% 1.18/0.87
% 1.18/0.87 % (21397)Memory used [KB]: 1445
% 1.18/0.87 % (21397)Time elapsed: 0.041 s
% 1.18/0.87 % (21397)Instructions burned: 164 (million)
% 1.18/0.87 % (21397)------------------------------
% 1.18/0.87 % (21397)------------------------------
% 1.18/0.87 % (21396)Instruction limit reached!
% 1.18/0.87 % (21396)------------------------------
% 1.18/0.87 % (21396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.87 % (21396)Termination reason: Unknown
% 1.18/0.87 % (21396)Termination phase: Saturation
% 1.18/0.88
% 1.18/0.88 % (21396)Memory used [KB]: 1646
% 1.18/0.88 % (21396)Time elapsed: 0.046 s
% 1.18/0.88 % (21396)Instructions burned: 109 (million)
% 1.18/0.88 % (21396)------------------------------
% 1.18/0.88 % (21396)------------------------------
% 1.18/0.88 % (21402)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.18/0.88 % (21403)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.18/0.88 % (21402)Refutation not found, incomplete strategy% (21402)------------------------------
% 1.18/0.88 % (21402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.88 % (21402)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.88
% 1.18/0.88 % (21402)Memory used [KB]: 972
% 1.18/0.88 % (21402)Time elapsed: 0.001 s
% 1.18/0.88 % (21402)Instructions burned: 3 (million)
% 1.18/0.88 % (21402)------------------------------
% 1.18/0.88 % (21402)------------------------------
% 1.18/0.88 % (21405)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.18/0.88 % (21404)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.18/0.88 % (21404)Refutation not found, incomplete strategy% (21404)------------------------------
% 1.18/0.88 % (21404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.88 % (21404)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.88
% 1.18/0.88 % (21404)Memory used [KB]: 975
% 1.18/0.88 % (21404)Time elapsed: 0.003 s
% 1.18/0.88 % (21404)Instructions burned: 3 (million)
% 1.18/0.88 % (21404)------------------------------
% 1.18/0.88 % (21404)------------------------------
% 1.18/0.88 % (21382)Instruction limit reached!
% 1.18/0.88 % (21382)------------------------------
% 1.18/0.88 % (21382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.88 % (21382)Termination reason: Unknown
% 1.18/0.88 % (21382)Termination phase: Saturation
% 1.18/0.88
% 1.18/0.88 % (21382)Memory used [KB]: 1787
% 1.18/0.88 % (21382)Time elapsed: 0.126 s
% 1.18/0.88 % (21382)Instructions burned: 244 (million)
% 1.18/0.88 % (21382)------------------------------
% 1.18/0.88 % (21382)------------------------------
% 1.18/0.89 % (21407)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.18/0.89 % (21403)Instruction limit reached!
% 1.18/0.89 % (21403)------------------------------
% 1.18/0.89 % (21403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.89 % (21403)Termination reason: Unknown
% 1.18/0.89 % (21403)Termination phase: Saturation
% 1.18/0.89
% 1.18/0.89 % (21403)Memory used [KB]: 1557
% 1.18/0.89 % (21406)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.18/0.89 % (21403)Time elapsed: 0.014 s
% 1.18/0.89 % (21403)Instructions burned: 38 (million)
% 1.18/0.89 % (21403)------------------------------
% 1.18/0.89 % (21403)------------------------------
% 1.18/0.89 % (21408)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.18/0.89 % (21405)Instruction limit reached!
% 1.18/0.89 % (21405)------------------------------
% 1.18/0.89 % (21405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.89 % (21405)Termination reason: Unknown
% 1.18/0.89 % (21405)Termination phase: Saturation
% 1.18/0.89
% 1.18/0.89 % (21405)Memory used [KB]: 1413
% 1.18/0.89 % (21405)Time elapsed: 0.017 s
% 1.18/0.89 % (21405)Instructions burned: 47 (million)
% 1.18/0.89 % (21405)------------------------------
% 1.18/0.89 % (21405)------------------------------
% 1.18/0.90 % (21409)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2994ds/82Mi)
% 1.18/0.90 % (21406)Instruction limit reached!
% 1.18/0.90 % (21406)------------------------------
% 1.18/0.90 % (21406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.90 % (21406)Termination reason: Unknown
% 1.18/0.90 % (21406)Termination phase: Saturation
% 1.18/0.90
% 1.18/0.90 % (21406)Memory used [KB]: 1136
% 1.18/0.90 % (21406)Time elapsed: 0.036 s
% 1.18/0.90 % (21406)Instructions burned: 35 (million)
% 1.18/0.90 % (21406)------------------------------
% 1.18/0.90 % (21406)------------------------------
% 1.18/0.90 % (21410)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.18/0.91 % (21388)First to succeed.
% 1.18/0.91 % (21388)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21366"
% 1.18/0.91 % (21408)Instruction limit reached!
% 1.18/0.91 % (21408)------------------------------
% 1.18/0.91 % (21408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.91 % (21408)Termination reason: Unknown
% 1.18/0.91 % (21408)Termination phase: Saturation
% 1.18/0.91
% 1.18/0.91 % (21408)Memory used [KB]: 1215
% 1.18/0.91 % (21408)Time elapsed: 0.018 s
% 1.18/0.91 % (21408)Instructions burned: 56 (million)
% 1.18/0.91 % (21408)------------------------------
% 1.18/0.91 % (21408)------------------------------
% 1.18/0.91 % (21388)Refutation found. Thanks to Tanya!
% 1.18/0.91 % SZS status Theorem for theBenchmark
% 1.18/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.91 % (21388)------------------------------
% 1.18/0.91 % (21388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.18/0.91 % (21388)Termination reason: Refutation
% 1.18/0.91
% 1.18/0.91 % (21388)Memory used [KB]: 2138
% 1.18/0.91 % (21388)Time elapsed: 0.131 s
% 1.18/0.91 % (21388)Instructions burned: 356 (million)
% 1.18/0.91 % (21366)Success in time 0.542 s
% 1.18/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------