TSTP Solution File: NUM859+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM859+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:02:39 EDT 2022
% Result : Theorem 2.04s 0.66s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 242 ( 3 unt; 0 def)
% Number of atoms : 741 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 850 ( 351 ~; 394 |; 62 &)
% ( 31 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 254 ( 229 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2785,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f121,f153,f173,f358,f523,f547,f555,f610,f612,f1028,f1061,f1080,f1101,f1282,f1341,f1351,f1541,f1653,f1951,f1968,f2046,f2068,f2070,f2248,f2323,f2411,f2707,f2773,f2784]) ).
fof(f2784,plain,
( spl6_8
| spl6_11
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f2783]) ).
fof(f2783,plain,
( $false
| spl6_8
| spl6_11
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f2782,f78]) ).
fof(f78,plain,
! [X0] : lesseq(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : lesseq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).
fof(f2782,plain,
( ~ lesseq(sK1,sK1)
| spl6_8
| spl6_11
| ~ spl6_16 ),
inference(forward_demodulation,[],[f2776,f2342]) ).
fof(f2342,plain,
( max(sK1,sK2) = sK1
| spl6_8 ),
inference(unit_resulting_resolution,[],[f2334,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X1,X0) = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X1,X0) = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( max(X0,X1) = X0
| ~ lesseq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
fof(f2334,plain,
( lesseq(sK2,sK1)
| spl6_8 ),
inference(resolution,[],[f356,f77]) ).
fof(f77,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/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
fof(f356,plain,
( ~ lesseq(sK1,sK2)
| spl6_8 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl6_8
<=> lesseq(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f2776,plain,
( ~ lesseq(max(sK1,sK2),sK1)
| spl6_11
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f2774,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( model_max(X1,X0,X2)
| ~ lesseq(max(X1,X0),X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( model_max(X1,X0,X2)
| ~ lesseq(max(X1,X0),X2) )
& ( lesseq(max(X1,X0),X2)
| ~ model_max(X1,X0,X2) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( ( model_max(X2,X0,X1)
| ~ lesseq(max(X2,X0),X1) )
& ( lesseq(max(X2,X0),X1)
| ~ model_max(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( model_max(X2,X0,X1)
<=> lesseq(max(X2,X0),X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X3,X0] :
( lesseq(max(X0,X1),X3)
<=> model_max(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_2) ).
fof(f2774,plain,
( ~ model_max(sK1,sK2,sK1)
| spl6_11
| ~ spl6_16 ),
inference(forward_demodulation,[],[f542,f1056]) ).
fof(f1056,plain,
( sK3 = sK1
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1054,plain,
( spl6_16
<=> sK3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f542,plain,
( ~ model_max(sK1,sK2,sK3)
| spl6_11 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl6_11
<=> model_max(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f2773,plain,
( spl6_8
| spl6_12
| ~ spl6_13
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2772,plain,
( $false
| spl6_8
| spl6_12
| ~ spl6_13
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f2771,f2420]) ).
fof(f2420,plain,
( ~ lesseq(sK1,sK4(sK1,sK2,sK1))
| spl6_12
| ~ spl6_16 ),
inference(backward_demodulation,[],[f546,f1056]) ).
fof(f546,plain,
( ~ lesseq(sK3,sK4(sK1,sK2,sK3))
| spl6_12 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl6_12
<=> lesseq(sK3,sK4(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f2771,plain,
( lesseq(sK1,sK4(sK1,sK2,sK1))
| spl6_8
| ~ spl6_13
| ~ spl6_16 ),
inference(forward_demodulation,[],[f2767,f2342]) ).
fof(f2767,plain,
( lesseq(max(sK1,sK2),sK4(sK1,sK2,sK1))
| ~ spl6_13
| ~ spl6_16 ),
inference(resolution,[],[f2710,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ model_max(X1,X0,X2)
| lesseq(max(X1,X0),X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f2710,plain,
( model_max(sK1,sK2,sK4(sK1,sK2,sK1))
| ~ spl6_13
| ~ spl6_16 ),
inference(forward_demodulation,[],[f554,f1056]) ).
fof(f554,plain,
( model_max(sK1,sK2,sK4(sK1,sK2,sK3))
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl6_13
<=> model_max(sK1,sK2,sK4(sK1,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f2707,plain,
( spl6_4
| ~ spl6_5
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f2706]) ).
fof(f2706,plain,
( $false
| spl6_4
| ~ spl6_5
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f2695,f2684]) ).
fof(f2684,plain,
( lesseq(sK1,sK5(sK2,sK0(sK1,sK1,sK2),sK1))
| ~ spl6_5
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f2480,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ ub(X1,X0,X2)
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ( lesseq(X0,X2)
& lesseq(X1,X2) )
| ~ ub(X1,X0,X2) )
& ( ub(X1,X0,X2)
| ~ lesseq(X0,X2)
| ~ lesseq(X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ( ( lesseq(X2,X1)
& lesseq(X0,X1) )
| ~ ub(X0,X2,X1) )
& ( ub(X0,X2,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( ( lesseq(X2,X1)
& lesseq(X0,X1) )
| ~ ub(X0,X2,X1) )
& ( ub(X0,X2,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ( lesseq(X2,X1)
& lesseq(X0,X1) )
<=> ub(X0,X2,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ub(X0,X1,X2)
<=> ( lesseq(X0,X2)
& lesseq(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
fof(f2480,plain,
( ub(sK1,sK2,sK5(sK2,sK0(sK1,sK1,sK2),sK1))
| ~ spl6_5
| ~ spl6_16 ),
inference(backward_demodulation,[],[f2237,f1056]) ).
fof(f2237,plain,
( ub(sK1,sK2,sK5(sK2,sK0(sK1,sK3,sK2),sK1))
| ~ spl6_5 ),
inference(unit_resulting_resolution,[],[f163,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ model_ub(X2,X0,X1)
| ub(X2,X0,sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ( lesseq(sK5(X0,X1,X2),X1)
& ub(X2,X0,sK5(X0,X1,X2)) )
| ~ model_ub(X2,X0,X1) )
& ( model_ub(X2,X0,X1)
| ! [X4] :
( ~ lesseq(X4,X1)
| ~ ub(X2,X0,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X3] :
( lesseq(X3,X1)
& ub(X2,X0,X3) )
=> ( lesseq(sK5(X0,X1,X2),X1)
& ub(X2,X0,sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( lesseq(X3,X1)
& ub(X2,X0,X3) )
| ~ model_ub(X2,X0,X1) )
& ( model_ub(X2,X0,X1)
| ! [X4] :
( ~ lesseq(X4,X1)
| ~ ub(X2,X0,X4) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0,X2] :
( ( ? [X3] :
( lesseq(X3,X0)
& ub(X2,X1,X3) )
| ~ model_ub(X2,X1,X0) )
& ( model_ub(X2,X1,X0)
| ! [X3] :
( ~ lesseq(X3,X0)
| ~ ub(X2,X1,X3) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ? [X3] :
( lesseq(X3,X0)
& ub(X2,X1,X3) )
<=> model_ub(X2,X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X1,X0] :
( ? [X2] :
( lesseq(X2,X3)
& ub(X0,X1,X2) )
<=> model_ub(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_2) ).
fof(f163,plain,
( model_ub(sK1,sK2,sK0(sK1,sK3,sK2))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl6_5
<=> model_ub(sK1,sK2,sK0(sK1,sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f2695,plain,
( ~ lesseq(sK1,sK5(sK2,sK0(sK1,sK1,sK2),sK1))
| spl6_4
| ~ spl6_5
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f2415,f2481,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( lesseq(X0,X1)
| ~ lesseq(X0,X2)
| ~ lesseq(X2,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( lesseq(X0,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( ( lesseq(X2,X1)
& lesseq(X0,X2) )
=> lesseq(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( ( lesseq(X0,X1)
& lesseq(X1,X2) )
=> lesseq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans) ).
fof(f2481,plain,
( lesseq(sK5(sK2,sK0(sK1,sK1,sK2),sK1),sK0(sK1,sK1,sK2))
| ~ spl6_5
| ~ spl6_16 ),
inference(backward_demodulation,[],[f2238,f1056]) ).
fof(f2238,plain,
( lesseq(sK5(sK2,sK0(sK1,sK3,sK2),sK1),sK0(sK1,sK3,sK2))
| ~ spl6_5 ),
inference(resolution,[],[f163,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ model_ub(X2,X0,X1)
| lesseq(sK5(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2415,plain,
( ~ lesseq(sK1,sK0(sK1,sK1,sK2))
| spl6_4
| ~ spl6_16 ),
inference(backward_demodulation,[],[f152,f1056]) ).
fof(f152,plain,
( ~ lesseq(sK3,sK0(sK1,sK3,sK2))
| spl6_4 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl6_4
<=> lesseq(sK3,sK0(sK1,sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f2411,plain,
( ~ spl6_2
| spl6_8
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f2410]) ).
fof(f2410,plain,
( $false
| ~ spl6_2
| spl6_8
| spl6_17 ),
inference(subsumption_resolution,[],[f2393,f78]) ).
fof(f2393,plain,
( ~ lesseq(sK1,sK1)
| ~ spl6_2
| spl6_8
| spl6_17 ),
inference(unit_resulting_resolution,[],[f1060,f2352]) ).
fof(f2352,plain,
( ! [X0] :
( lesseq(sK3,X0)
| ~ lesseq(sK1,X0) )
| ~ spl6_2
| spl6_8 ),
inference(backward_demodulation,[],[f2246,f2342]) ).
fof(f2246,plain,
( ! [X0] :
( ~ lesseq(max(sK1,sK2),X0)
| lesseq(sK3,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f1640,f74]) ).
fof(f1640,plain,
( ! [X0] :
( ~ model_max(sK1,sK2,X0)
| lesseq(sK3,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f98,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ minsol_model_max(X0,X1,X2)
| lesseq(X2,X3)
| ~ model_max(X0,X1,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| ( ~ lesseq(X2,sK4(X0,X1,X2))
& model_max(X0,X1,sK4(X0,X1,X2)) )
| ~ model_max(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ lesseq(X2,X4)
& model_max(X0,X1,X4) )
=> ( ~ lesseq(X2,sK4(X0,X1,X2))
& model_max(X0,X1,sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) )
& model_max(X0,X1,X2) )
| ~ minsol_model_max(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| ? [X4] :
( ~ lesseq(X2,X4)
& model_max(X0,X1,X4) )
| ~ model_max(X0,X1,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0,X2,X1] :
( ( ( ! [X3] :
( lesseq(X1,X3)
| ~ model_max(X0,X2,X3) )
& model_max(X0,X2,X1) )
| ~ minsol_model_max(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| ? [X3] :
( ~ lesseq(X1,X3)
& model_max(X0,X2,X3) )
| ~ model_max(X0,X2,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( ( ( ! [X3] :
( lesseq(X1,X3)
| ~ model_max(X0,X2,X3) )
& model_max(X0,X2,X1) )
| ~ minsol_model_max(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| ? [X3] :
( ~ lesseq(X1,X3)
& model_max(X0,X2,X3) )
| ~ model_max(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( lesseq(X1,X3)
| ~ model_max(X0,X2,X3) )
& model_max(X0,X2,X1) )
<=> minsol_model_max(X0,X2,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X2,X1)
<=> ( ! [X3] :
( model_max(X0,X2,X3)
=> lesseq(X1,X3) )
& model_max(X0,X2,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3,X1] :
( minsol_model_max(X0,X1,X3)
<=> ( model_max(X0,X1,X3)
& ! [X2] :
( model_max(X0,X1,X2)
=> lesseq(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f98,plain,
( minsol_model_max(sK1,sK2,sK3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl6_2
<=> minsol_model_max(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f1060,plain,
( ~ lesseq(sK3,sK1)
| spl6_17 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1058,plain,
( spl6_17
<=> lesseq(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f2323,plain,
( ~ spl6_2
| ~ spl6_8
| spl6_14 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2322,plain,
( $false
| ~ spl6_2
| ~ spl6_8
| spl6_14 ),
inference(subsumption_resolution,[],[f2303,f1023]) ).
fof(f1023,plain,
( ~ lesseq(sK3,sK2)
| spl6_14 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl6_14
<=> lesseq(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f2303,plain,
( lesseq(sK3,sK2)
| ~ spl6_2
| ~ spl6_8 ),
inference(unit_resulting_resolution,[],[f78,f2066]) ).
fof(f2066,plain,
( ! [X0] :
( lesseq(sK3,X0)
| ~ lesseq(sK2,X0) )
| ~ spl6_2
| ~ spl6_8 ),
inference(backward_demodulation,[],[f1713,f2048]) ).
fof(f2048,plain,
( max(sK1,sK2) = sK2
| ~ spl6_8 ),
inference(unit_resulting_resolution,[],[f357,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X1,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( max(X1,X0) = X0
| ~ lesseq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( max(X0,X1) = X1
| ~ lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(f357,plain,
( lesseq(sK1,sK2)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f1713,plain,
( ! [X0] :
( lesseq(sK3,X0)
| ~ lesseq(max(sK1,sK2),X0) )
| ~ spl6_2 ),
inference(resolution,[],[f1640,f74]) ).
fof(f2248,plain,
( ~ spl6_3
| spl6_5
| spl6_1 ),
inference(avatar_split_clause,[],[f1626,f92,f161,f146]) ).
fof(f146,plain,
( spl6_3
<=> model_ub(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f92,plain,
( spl6_1
<=> minsol_model_ub(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f1626,plain,
( model_ub(sK1,sK2,sK0(sK1,sK3,sK2))
| ~ model_ub(sK1,sK2,sK3)
| spl6_1 ),
inference(resolution,[],[f93,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X2,X1)
| model_ub(X0,X2,sK0(X0,X1,X2))
| ~ model_ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ model_ub(X0,X2,X3)
| lesseq(X1,X3) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_ub(X0,X2,X1)
| ( model_ub(X0,X2,sK0(X0,X1,X2))
& ~ lesseq(X1,sK0(X0,X1,X2)) )
| ~ model_ub(X0,X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X4] :
( model_ub(X0,X2,X4)
& ~ lesseq(X1,X4) )
=> ( model_ub(X0,X2,sK0(X0,X1,X2))
& ~ lesseq(X1,sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ model_ub(X0,X2,X3)
| lesseq(X1,X3) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_ub(X0,X2,X1)
| ? [X4] :
( model_ub(X0,X2,X4)
& ~ lesseq(X1,X4) )
| ~ model_ub(X0,X2,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( ( ! [X3] :
( ~ model_ub(X2,X0,X3)
| lesseq(X1,X3) )
& model_ub(X2,X0,X1) )
| ~ minsol_model_ub(X2,X0,X1) )
& ( minsol_model_ub(X2,X0,X1)
| ? [X3] :
( model_ub(X2,X0,X3)
& ~ lesseq(X1,X3) )
| ~ model_ub(X2,X0,X1) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( ( ( ! [X3] :
( ~ model_ub(X2,X0,X3)
| lesseq(X1,X3) )
& model_ub(X2,X0,X1) )
| ~ minsol_model_ub(X2,X0,X1) )
& ( minsol_model_ub(X2,X0,X1)
| ? [X3] :
( model_ub(X2,X0,X3)
& ~ lesseq(X1,X3) )
| ~ model_ub(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ~ model_ub(X2,X0,X3)
| lesseq(X1,X3) )
& model_ub(X2,X0,X1) )
<=> minsol_model_ub(X2,X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( minsol_model_ub(X2,X0,X1)
<=> ( model_ub(X2,X0,X1)
& ! [X3] :
( model_ub(X2,X0,X3)
=> lesseq(X1,X3) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X3,X0] :
( ( ! [X2] :
( model_ub(X0,X1,X2)
=> lesseq(X3,X2) )
& model_ub(X0,X1,X3) )
<=> minsol_model_ub(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f93,plain,
( ~ minsol_model_ub(sK1,sK2,sK3)
| spl6_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f2070,plain,
( ~ spl6_8
| spl6_14
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| ~ spl6_8
| spl6_14
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f2053,f1023]) ).
fof(f2053,plain,
( lesseq(sK3,sK2)
| ~ spl6_8
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f1059,f357,f86]) ).
fof(f1059,plain,
( lesseq(sK3,sK1)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f2068,plain,
( spl6_6
| ~ spl6_8
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2067,plain,
( $false
| spl6_6
| ~ spl6_8
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f2065,f168]) ).
fof(f168,plain,
( ~ lesseq(sK2,sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl6_6
<=> lesseq(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f2065,plain,
( lesseq(sK2,sK3)
| ~ spl6_8
| ~ spl6_11 ),
inference(backward_demodulation,[],[f1971,f2048]) ).
fof(f1971,plain,
( lesseq(max(sK1,sK2),sK3)
| ~ spl6_11 ),
inference(resolution,[],[f541,f73]) ).
fof(f541,plain,
( model_max(sK1,sK2,sK3)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f2046,plain,
( spl6_7
| spl6_8
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2045,plain,
( $false
| spl6_7
| spl6_8
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f2043,f172]) ).
fof(f172,plain,
( ~ lesseq(sK1,sK3)
| spl6_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl6_7
<=> lesseq(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f2043,plain,
( lesseq(sK1,sK3)
| spl6_8
| ~ spl6_11 ),
inference(backward_demodulation,[],[f1971,f2032]) ).
fof(f2032,plain,
( max(sK1,sK2) = sK1
| spl6_8 ),
inference(unit_resulting_resolution,[],[f1690,f87]) ).
fof(f1690,plain,
( lesseq(sK2,sK1)
| spl6_8 ),
inference(resolution,[],[f356,f77]) ).
fof(f1968,plain,
( spl6_11
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1641,f96,f540]) ).
fof(f1641,plain,
( model_max(sK1,sK2,sK3)
| ~ spl6_2 ),
inference(resolution,[],[f98,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1951,plain,
( ~ spl6_6
| spl6_7
| ~ spl6_11
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f1950]) ).
fof(f1950,plain,
( $false
| ~ spl6_6
| spl6_7
| ~ spl6_11
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f1806,f78]) ).
fof(f1806,plain,
( ~ lesseq(sK1,sK1)
| ~ spl6_6
| spl6_7
| ~ spl6_11
| ~ spl6_17 ),
inference(backward_demodulation,[],[f1721,f1797]) ).
fof(f1797,plain,
( max(sK1,sK2) = sK1
| ~ spl6_6
| ~ spl6_17 ),
inference(resolution,[],[f1660,f87]) ).
fof(f1660,plain,
( lesseq(sK2,sK1)
| ~ spl6_6
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f167,f1059,f86]) ).
fof(f167,plain,
( lesseq(sK2,sK3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f1721,plain,
( ~ lesseq(sK1,max(sK1,sK2))
| spl6_7
| ~ spl6_11 ),
inference(unit_resulting_resolution,[],[f172,f1651,f86]) ).
fof(f1651,plain,
( lesseq(max(sK1,sK2),sK3)
| ~ spl6_11 ),
inference(unit_resulting_resolution,[],[f541,f73]) ).
fof(f1653,plain,
( spl6_17
| spl6_7 ),
inference(avatar_split_clause,[],[f1624,f170,f1058]) ).
fof(f1624,plain,
( lesseq(sK3,sK1)
| spl6_7 ),
inference(resolution,[],[f172,f77]) ).
fof(f1541,plain,
( spl6_4
| ~ spl6_5
| ~ spl6_15 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1540,plain,
( $false
| spl6_4
| ~ spl6_5
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f1529,f1512]) ).
fof(f1512,plain,
( lesseq(sK2,sK5(sK2,sK0(sK1,sK2,sK2),sK1))
| ~ spl6_5
| ~ spl6_15 ),
inference(unit_resulting_resolution,[],[f1467,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ ub(X1,X0,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f1467,plain,
( ub(sK1,sK2,sK5(sK2,sK0(sK1,sK2,sK2),sK1))
| ~ spl6_5
| ~ spl6_15 ),
inference(unit_resulting_resolution,[],[f1361,f80]) ).
fof(f1361,plain,
( model_ub(sK1,sK2,sK0(sK1,sK2,sK2))
| ~ spl6_5
| ~ spl6_15 ),
inference(forward_demodulation,[],[f163,f1027]) ).
fof(f1027,plain,
( sK3 = sK2
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl6_15
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f1529,plain,
( ~ lesseq(sK2,sK5(sK2,sK0(sK1,sK2,sK2),sK1))
| spl6_4
| ~ spl6_5
| ~ spl6_15 ),
inference(unit_resulting_resolution,[],[f1416,f1468,f86]) ).
fof(f1468,plain,
( lesseq(sK5(sK2,sK0(sK1,sK2,sK2),sK1),sK0(sK1,sK2,sK2))
| ~ spl6_5
| ~ spl6_15 ),
inference(resolution,[],[f1361,f81]) ).
fof(f1416,plain,
( ~ lesseq(sK2,sK0(sK1,sK2,sK2))
| spl6_4
| ~ spl6_15 ),
inference(forward_demodulation,[],[f152,f1027]) ).
fof(f1351,plain,
( ~ spl6_7
| spl6_10
| ~ spl6_13
| ~ spl6_15 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1350,plain,
( $false
| ~ spl6_7
| spl6_10
| ~ spl6_13
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f1349,f511]) ).
fof(f511,plain,
( ~ lesseq(sK2,sK4(sK1,sK2,sK2))
| spl6_10 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl6_10
<=> lesseq(sK2,sK4(sK1,sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f1349,plain,
( lesseq(sK2,sK4(sK1,sK2,sK2))
| ~ spl6_7
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f1345,f1134]) ).
fof(f1134,plain,
( max(sK1,sK2) = sK2
| ~ spl6_7
| ~ spl6_15 ),
inference(backward_demodulation,[],[f652,f1027]) ).
fof(f652,plain,
( sK3 = max(sK1,sK3)
| ~ spl6_7 ),
inference(resolution,[],[f171,f82]) ).
fof(f171,plain,
( lesseq(sK1,sK3)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f1345,plain,
( lesseq(max(sK1,sK2),sK4(sK1,sK2,sK2))
| ~ spl6_13
| ~ spl6_15 ),
inference(resolution,[],[f1288,f73]) ).
fof(f1288,plain,
( model_max(sK1,sK2,sK4(sK1,sK2,sK2))
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f554,f1027]) ).
fof(f1341,plain,
( ~ spl6_10
| spl6_12
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f1289,f1025,f544,f509]) ).
fof(f1289,plain,
( ~ lesseq(sK2,sK4(sK1,sK2,sK2))
| spl6_12
| ~ spl6_15 ),
inference(forward_demodulation,[],[f546,f1027]) ).
fof(f1282,plain,
( ~ spl6_7
| spl6_11
| ~ spl6_15 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl6_7
| spl6_11
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f1280,f78]) ).
fof(f1280,plain,
( ~ lesseq(sK2,sK2)
| ~ spl6_7
| spl6_11
| ~ spl6_15 ),
inference(forward_demodulation,[],[f1110,f1134]) ).
fof(f1110,plain,
( ~ lesseq(max(sK1,sK2),sK2)
| spl6_11
| ~ spl6_15 ),
inference(backward_demodulation,[],[f548,f1027]) ).
fof(f548,plain,
( ~ lesseq(max(sK1,sK2),sK3)
| spl6_11 ),
inference(unit_resulting_resolution,[],[f542,f74]) ).
fof(f1101,plain,
( ~ spl6_1
| spl6_8
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl6_1
| spl6_8
| spl6_17 ),
inference(subsumption_resolution,[],[f1083,f1064]) ).
fof(f1064,plain,
( ~ lesseq(sK2,sK1)
| ~ spl6_1
| spl6_17 ),
inference(unit_resulting_resolution,[],[f78,f78,f1060,f616]) ).
fof(f616,plain,
( ! [X2,X1] :
( ~ lesseq(sK2,X1)
| ~ lesseq(sK1,X1)
| ~ lesseq(X1,X2)
| lesseq(sK3,X2) )
| ~ spl6_1 ),
inference(resolution,[],[f538,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ub(X1,X0,X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f538,plain,
( ! [X0,X1] :
( ~ ub(sK1,sK2,X1)
| ~ lesseq(X1,X0)
| lesseq(sK3,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f525,f79]) ).
fof(f79,plain,
! [X2,X0,X1,X4] :
( model_ub(X2,X0,X1)
| ~ ub(X2,X0,X4)
| ~ lesseq(X4,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f525,plain,
( ! [X0] :
( ~ model_ub(sK1,sK2,X0)
| lesseq(sK3,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f94,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ minsol_model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X3)
| lesseq(X1,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f94,plain,
( minsol_model_ub(sK1,sK2,sK3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f1083,plain,
( lesseq(sK2,sK1)
| spl6_8 ),
inference(unit_resulting_resolution,[],[f356,f77]) ).
fof(f1080,plain,
( ~ spl6_8
| ~ spl6_1
| spl6_14 ),
inference(avatar_split_clause,[],[f1029,f1021,f92,f355]) ).
fof(f1029,plain,
( ~ lesseq(sK1,sK2)
| ~ spl6_1
| spl6_14 ),
inference(unit_resulting_resolution,[],[f78,f78,f1023,f616]) ).
fof(f1061,plain,
( spl6_16
| ~ spl6_17
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f651,f170,f1058,f1054]) ).
fof(f651,plain,
( ~ lesseq(sK3,sK1)
| sK3 = sK1
| ~ spl6_7 ),
inference(resolution,[],[f171,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| X0 = X1
| ~ lesseq(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X0)
| X0 = X1 ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ~ lesseq(X1,X0)
| ~ lesseq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( lesseq(X1,X0)
& lesseq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f1028,plain,
( ~ spl6_14
| spl6_15
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f632,f166,f1025,f1021]) ).
fof(f632,plain,
( sK3 = sK2
| ~ lesseq(sK3,sK2)
| ~ spl6_6 ),
inference(resolution,[],[f167,f85]) ).
fof(f612,plain,
( ~ spl6_3
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl6_3
| spl6_6 ),
inference(subsumption_resolution,[],[f602,f576]) ).
fof(f576,plain,
( ~ lesseq(sK2,sK5(sK2,sK3,sK1))
| ~ spl6_3
| spl6_6 ),
inference(unit_resulting_resolution,[],[f168,f529,f86]) ).
fof(f529,plain,
( lesseq(sK5(sK2,sK3,sK1),sK3)
| ~ spl6_3 ),
inference(unit_resulting_resolution,[],[f147,f81]) ).
fof(f147,plain,
( model_ub(sK1,sK2,sK3)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f602,plain,
( lesseq(sK2,sK5(sK2,sK3,sK1))
| ~ spl6_3 ),
inference(unit_resulting_resolution,[],[f535,f90]) ).
fof(f535,plain,
( ub(sK1,sK2,sK5(sK2,sK3,sK1))
| ~ spl6_3 ),
inference(resolution,[],[f147,f80]) ).
fof(f610,plain,
( ~ spl6_3
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f609,plain,
( $false
| ~ spl6_3
| spl6_7 ),
inference(subsumption_resolution,[],[f603,f577]) ).
fof(f577,plain,
( ~ lesseq(sK1,sK5(sK2,sK3,sK1))
| ~ spl6_3
| spl6_7 ),
inference(unit_resulting_resolution,[],[f172,f529,f86]) ).
fof(f603,plain,
( lesseq(sK1,sK5(sK2,sK3,sK1))
| ~ spl6_3 ),
inference(resolution,[],[f535,f89]) ).
fof(f555,plain,
( ~ spl6_11
| spl6_13
| spl6_2 ),
inference(avatar_split_clause,[],[f528,f96,f552,f540]) ).
fof(f528,plain,
( model_max(sK1,sK2,sK4(sK1,sK2,sK3))
| ~ model_max(sK1,sK2,sK3)
| spl6_2 ),
inference(resolution,[],[f97,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
| model_max(X0,X1,sK4(X0,X1,X2))
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f97,plain,
( ~ minsol_model_max(sK1,sK2,sK3)
| spl6_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f547,plain,
( ~ spl6_11
| ~ spl6_12
| spl6_2 ),
inference(avatar_split_clause,[],[f527,f96,f544,f540]) ).
fof(f527,plain,
( ~ lesseq(sK3,sK4(sK1,sK2,sK3))
| ~ model_max(sK1,sK2,sK3)
| spl6_2 ),
inference(resolution,[],[f97,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2)
| ~ lesseq(X2,sK4(X0,X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f523,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| ~ spl6_1
| spl6_3 ),
inference(subsumption_resolution,[],[f94,f156]) ).
fof(f156,plain,
( ~ minsol_model_ub(sK1,sK2,sK3)
| spl6_3 ),
inference(unit_resulting_resolution,[],[f148,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ minsol_model_ub(X0,X2,X1)
| model_ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f148,plain,
( ~ model_ub(sK1,sK2,sK3)
| spl6_3 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f358,plain,
( spl6_8
| ~ spl6_7
| spl6_3 ),
inference(avatar_split_clause,[],[f307,f146,f170,f355]) ).
fof(f307,plain,
( ~ lesseq(sK1,sK3)
| lesseq(sK1,sK2)
| spl6_3 ),
inference(resolution,[],[f295,f78]) ).
fof(f295,plain,
( ! [X0] :
( ~ lesseq(sK1,X0)
| ~ lesseq(X0,sK3)
| lesseq(X0,sK2) )
| spl6_3 ),
inference(resolution,[],[f176,f77]) ).
fof(f176,plain,
( ! [X0] :
( ~ lesseq(sK2,X0)
| ~ lesseq(sK1,X0)
| ~ lesseq(X0,sK3) )
| spl6_3 ),
inference(resolution,[],[f157,f88]) ).
fof(f157,plain,
( ! [X0] :
( ~ ub(sK1,sK2,X0)
| ~ lesseq(X0,sK3) )
| spl6_3 ),
inference(resolution,[],[f148,f79]) ).
fof(f173,plain,
( ~ spl6_6
| ~ spl6_7
| spl6_3 ),
inference(avatar_split_clause,[],[f158,f146,f170,f166]) ).
fof(f158,plain,
( ~ lesseq(sK1,sK3)
| ~ lesseq(sK2,sK3)
| spl6_3 ),
inference(resolution,[],[f154,f88]) ).
fof(f154,plain,
( ~ ub(sK1,sK2,sK3)
| spl6_3 ),
inference(unit_resulting_resolution,[],[f78,f148,f79]) ).
fof(f153,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f123,f92,f150,f146]) ).
fof(f123,plain,
( ~ lesseq(sK3,sK0(sK1,sK3,sK2))
| ~ model_ub(sK1,sK2,sK3)
| spl6_1 ),
inference(resolution,[],[f93,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X1)
| ~ lesseq(X1,sK0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f121,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f68,f96,f92]) ).
fof(f68,plain,
( ~ minsol_model_max(sK1,sK2,sK3)
| ~ minsol_model_ub(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ~ minsol_model_max(sK1,sK2,sK3)
| ~ minsol_model_ub(sK1,sK2,sK3) )
& ( minsol_model_max(sK1,sK2,sK3)
| minsol_model_ub(sK1,sK2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f39,f40]) ).
fof(f40,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(sK1,sK2,sK3)
| ~ minsol_model_ub(sK1,sK2,sK3) )
& ( minsol_model_max(sK1,sK2,sK3)
| minsol_model_ub(sK1,sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,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(rectify,[],[f38]) ).
fof(f38,plain,
? [X2,X1,X0] :
( ( ~ minsol_model_max(X2,X1,X0)
| ~ minsol_model_ub(X2,X1,X0) )
& ( minsol_model_max(X2,X1,X0)
| minsol_model_ub(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
? [X2,X1,X0] :
( minsol_model_ub(X2,X1,X0)
<~> minsol_model_max(X2,X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X1,X0,X2] :
( minsol_model_ub(X2,X1,X0)
<=> minsol_model_max(X2,X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X2,X1,X0] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X2,X1,X0] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f99,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f67,f96,f92]) ).
fof(f67,plain,
( minsol_model_max(sK1,sK2,sK3)
| minsol_model_ub(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM859+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:05:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (3779)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.49 % (3778)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (3786)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.50 % (3786)Instruction limit reached!
% 0.18/0.50 % (3786)------------------------------
% 0.18/0.50 % (3786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (3795)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (3787)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (3779)Instruction limit reached!
% 0.18/0.51 % (3779)------------------------------
% 0.18/0.51 % (3779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3802)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52 % (3777)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (3794)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.52 % (3777)Refutation not found, incomplete strategy% (3777)------------------------------
% 0.18/0.52 % (3777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3777)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (3777)Memory used [KB]: 5884
% 0.18/0.52 % (3777)Time elapsed: 0.124 s
% 0.18/0.52 % (3777)Instructions burned: 2 (million)
% 0.18/0.52 % (3777)------------------------------
% 0.18/0.52 % (3777)------------------------------
% 0.18/0.52 % (3802)Refutation not found, incomplete strategy% (3802)------------------------------
% 0.18/0.52 % (3802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3776)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (3776)Instruction limit reached!
% 0.18/0.52 % (3776)------------------------------
% 0.18/0.52 % (3776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3776)Termination reason: Unknown
% 0.18/0.52 % (3776)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (3776)Memory used [KB]: 6012
% 0.18/0.52 % (3776)Time elapsed: 0.135 s
% 0.18/0.52 % (3776)Instructions burned: 3 (million)
% 0.18/0.52 % (3776)------------------------------
% 0.18/0.52 % (3776)------------------------------
% 0.18/0.52 % (3802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3802)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (3802)Memory used [KB]: 6012
% 0.18/0.52 % (3802)Time elapsed: 0.121 s
% 0.18/0.52 % (3802)Instructions burned: 2 (million)
% 0.18/0.52 % (3786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3786)Termination reason: Unknown
% 0.18/0.52 % (3786)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (3786)Memory used [KB]: 1535
% 0.18/0.52 % (3786)Time elapsed: 0.104 s
% 0.18/0.52 % (3786)Instructions burned: 17 (million)
% 0.18/0.52 % (3786)------------------------------
% 0.18/0.52 % (3786)------------------------------
% 0.18/0.52 % (3778)Instruction limit reached!
% 0.18/0.52 % (3778)------------------------------
% 0.18/0.52 % (3778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (3778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3778)Termination reason: Unknown
% 0.18/0.52 % (3778)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (3778)Memory used [KB]: 6012
% 0.18/0.52 % (3778)Time elapsed: 0.133 s
% 0.18/0.52 % (3778)Instructions burned: 14 (million)
% 0.18/0.52 % (3778)------------------------------
% 0.18/0.52 % (3778)------------------------------
% 0.18/0.52 % (3802)------------------------------
% 0.18/0.52 % (3802)------------------------------
% 0.18/0.52 % (3779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (3779)Termination reason: Unknown
% 0.18/0.52 % (3779)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (3779)Memory used [KB]: 1535
% 0.18/0.52 % (3779)Time elapsed: 0.118 s
% 0.18/0.52 % (3779)Instructions burned: 16 (million)
% 0.18/0.52 % (3779)------------------------------
% 0.18/0.52 % (3779)------------------------------
% 0.18/0.52 % (3788)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (3800)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (3774)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (3801)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (3798)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (3780)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.53 % (3796)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.53 % (3791)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53 % (3775)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.53 % (3793)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53 % (3775)Refutation not found, incomplete strategy% (3775)------------------------------
% 0.18/0.53 % (3775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (3792)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (3803)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.53 % (3785)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (3783)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53 % (3782)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.53 % (3775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (3775)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (3775)Memory used [KB]: 5884
% 0.18/0.53 % (3775)Time elapsed: 0.133 s
% 0.18/0.53 % (3775)Instructions burned: 2 (million)
% 0.18/0.53 % (3775)------------------------------
% 0.18/0.53 % (3775)------------------------------
% 0.18/0.53 % (3799)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.53 % (3790)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (3784)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.54 % (3788)Instruction limit reached!
% 0.18/0.54 % (3788)------------------------------
% 0.18/0.54 % (3788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (3788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (3788)Termination reason: Unknown
% 0.18/0.54 % (3788)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (3788)Memory used [KB]: 6012
% 0.18/0.54 % (3788)Time elapsed: 0.107 s
% 0.18/0.54 % (3788)Instructions burned: 3 (million)
% 0.18/0.54 % (3788)------------------------------
% 0.18/0.54 % (3788)------------------------------
% 0.18/0.54 % (3793)Refutation not found, incomplete strategy% (3793)------------------------------
% 0.18/0.54 % (3793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (3784)Instruction limit reached!
% 1.52/0.54 % (3784)------------------------------
% 1.52/0.54 % (3784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (3791)Instruction limit reached!
% 1.52/0.54 % (3791)------------------------------
% 1.52/0.54 % (3791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (3785)Instruction limit reached!
% 1.52/0.54 % (3785)------------------------------
% 1.52/0.54 % (3785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3783)Refutation not found, incomplete strategy% (3783)------------------------------
% 1.52/0.55 % (3783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3789)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.55 % (3792)Instruction limit reached!
% 1.52/0.55 % (3792)------------------------------
% 1.52/0.55 % (3792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3792)Termination reason: Unknown
% 1.52/0.55 % (3792)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (3792)Memory used [KB]: 5884
% 1.52/0.55 % (3792)Time elapsed: 0.157 s
% 1.52/0.55 % (3792)Instructions burned: 3 (million)
% 1.52/0.55 % (3792)------------------------------
% 1.52/0.55 % (3792)------------------------------
% 1.52/0.55 % (3797)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.52/0.55 % (3793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3793)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.55
% 1.52/0.55 % (3793)Memory used [KB]: 5884
% 1.52/0.55 % (3793)Time elapsed: 0.151 s
% 1.52/0.55 % (3793)Instructions burned: 1 (million)
% 1.52/0.55 % (3793)------------------------------
% 1.52/0.55 % (3793)------------------------------
% 1.52/0.55 % (3785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3785)Termination reason: Unknown
% 1.52/0.55 % (3785)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (3785)Memory used [KB]: 6012
% 1.52/0.55 % (3785)Time elapsed: 0.153 s
% 1.52/0.55 % (3785)Instructions burned: 7 (million)
% 1.52/0.55 % (3785)------------------------------
% 1.52/0.55 % (3785)------------------------------
% 1.52/0.55 % (3797)Refutation not found, incomplete strategy% (3797)------------------------------
% 1.52/0.55 % (3797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3789)Instruction limit reached!
% 1.52/0.55 % (3789)------------------------------
% 1.52/0.55 % (3789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3797)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.55
% 1.52/0.55 % (3781)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.52/0.55 % (3797)Memory used [KB]: 1535
% 1.52/0.55 % (3797)Time elapsed: 0.160 s
% 1.52/0.55 % (3797)Instructions burned: 3 (million)
% 1.52/0.55 % (3797)------------------------------
% 1.52/0.55 % (3797)------------------------------
% 1.52/0.55 % (3791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3791)Termination reason: Unknown
% 1.52/0.55 % (3791)Termination phase: Finite model building preprocessing
% 1.52/0.55
% 1.52/0.55 % (3791)Memory used [KB]: 5884
% 1.52/0.55 % (3791)Time elapsed: 0.004 s
% 1.52/0.55 % (3791)Instructions burned: 3 (million)
% 1.52/0.55 % (3791)------------------------------
% 1.52/0.55 % (3791)------------------------------
% 1.52/0.55 % (3784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3784)Termination reason: Unknown
% 1.52/0.55 % (3784)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (3784)Memory used [KB]: 6012
% 1.52/0.55 % (3801)Instruction limit reached!
% 1.52/0.55 % (3801)------------------------------
% 1.52/0.55 % (3801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3801)Termination reason: Unknown
% 1.52/0.55 % (3801)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (3801)Memory used [KB]: 6268
% 1.52/0.55 % (3801)Time elapsed: 0.162 s
% 1.52/0.55 % (3801)Instructions burned: 25 (million)
% 1.52/0.55 % (3801)------------------------------
% 1.52/0.55 % (3801)------------------------------
% 1.52/0.55 % (3784)Time elapsed: 0.154 s
% 1.52/0.55 % (3784)Instructions burned: 13 (million)
% 1.52/0.55 % (3784)------------------------------
% 1.52/0.55 % (3784)------------------------------
% 1.74/0.56 % (3794)Instruction limit reached!
% 1.74/0.56 % (3794)------------------------------
% 1.74/0.56 % (3794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.56 % (3794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.56 % (3794)Termination reason: Unknown
% 1.74/0.56 % (3794)Termination phase: Saturation
% 1.74/0.56
% 1.74/0.56 % (3794)Memory used [KB]: 6140
% 1.74/0.56 % (3794)Time elapsed: 0.156 s
% 1.74/0.56 % (3794)Instructions burned: 30 (million)
% 1.74/0.56 % (3794)------------------------------
% 1.74/0.56 % (3794)------------------------------
% 1.74/0.56 % (3783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.56 % (3783)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.56
% 1.74/0.56 % (3783)Memory used [KB]: 6140
% 1.74/0.56 % (3783)Time elapsed: 0.164 s
% 1.74/0.56 % (3783)Instructions burned: 13 (million)
% 1.74/0.56 % (3783)------------------------------
% 1.74/0.56 % (3783)------------------------------
% 1.74/0.56 % (3787)Instruction limit reached!
% 1.74/0.56 % (3787)------------------------------
% 1.74/0.56 % (3787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.56 % (3787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.56 % (3787)Termination reason: Unknown
% 1.74/0.56 % (3787)Termination phase: Saturation
% 1.74/0.56
% 1.74/0.56 % (3787)Memory used [KB]: 6396
% 1.74/0.56 % (3787)Time elapsed: 0.158 s
% 1.74/0.56 % (3787)Instructions burned: 52 (million)
% 1.74/0.56 % (3787)------------------------------
% 1.74/0.56 % (3787)------------------------------
% 1.74/0.57 % (3789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57 % (3789)Termination reason: Unknown
% 1.74/0.57 % (3789)Termination phase: Saturation
% 1.74/0.57
% 1.74/0.57 % (3789)Memory used [KB]: 6012
% 1.74/0.57 % (3789)Time elapsed: 0.159 s
% 1.74/0.57 % (3789)Instructions burned: 7 (million)
% 1.74/0.57 % (3789)------------------------------
% 1.74/0.57 % (3789)------------------------------
% 1.74/0.57 % (3803)Instruction limit reached!
% 1.74/0.57 % (3803)------------------------------
% 1.74/0.57 % (3803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.57 % (3803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.57 % (3803)Termination reason: Unknown
% 1.74/0.57 % (3803)Termination phase: Saturation
% 1.74/0.57
% 1.74/0.57 % (3803)Memory used [KB]: 6140
% 1.74/0.57 % (3803)Time elapsed: 0.157 s
% 1.74/0.57 % (3803)Instructions burned: 24 (million)
% 1.74/0.57 % (3803)------------------------------
% 1.74/0.57 % (3803)------------------------------
% 1.74/0.59 % (3780)Instruction limit reached!
% 1.74/0.59 % (3780)------------------------------
% 1.74/0.59 % (3780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (3780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (3780)Termination reason: Unknown
% 1.74/0.59 % (3780)Termination phase: Saturation
% 1.74/0.59
% 1.74/0.59 % (3780)Memory used [KB]: 6140
% 1.74/0.59 % (3780)Time elapsed: 0.174 s
% 1.74/0.59 % (3780)Instructions burned: 41 (million)
% 1.74/0.59 % (3780)------------------------------
% 1.74/0.59 % (3780)------------------------------
% 1.74/0.62 % (3781)Instruction limit reached!
% 1.74/0.62 % (3781)------------------------------
% 1.74/0.62 % (3781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 % (3781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (3781)Termination reason: Unknown
% 1.74/0.62 % (3781)Termination phase: Saturation
% 1.74/0.62
% 1.74/0.62 % (3781)Memory used [KB]: 6524
% 1.74/0.62 % (3781)Time elapsed: 0.232 s
% 1.74/0.62 % (3781)Instructions burned: 40 (million)
% 1.74/0.62 % (3781)------------------------------
% 1.74/0.62 % (3781)------------------------------
% 1.74/0.62 % (3782)Instruction limit reached!
% 1.74/0.62 % (3782)------------------------------
% 1.74/0.62 % (3782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 % (3782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (3782)Termination reason: Unknown
% 1.74/0.62 % (3782)Termination phase: Saturation
% 1.74/0.62
% 1.74/0.62 % (3782)Memory used [KB]: 6524
% 1.74/0.62 % (3782)Time elapsed: 0.233 s
% 1.74/0.62 % (3782)Instructions burned: 49 (million)
% 1.74/0.62 % (3782)------------------------------
% 1.74/0.62 % (3782)------------------------------
% 1.74/0.62 % (3790)Instruction limit reached!
% 1.74/0.62 % (3790)------------------------------
% 1.74/0.62 % (3790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 % (3790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (3790)Termination reason: Unknown
% 1.74/0.62 % (3790)Termination phase: Saturation
% 1.74/0.62
% 1.74/0.62 % (3790)Memory used [KB]: 6652
% 1.74/0.62 % (3790)Time elapsed: 0.240 s
% 1.74/0.62 % (3790)Instructions burned: 50 (million)
% 1.74/0.62 % (3790)------------------------------
% 1.74/0.62 % (3790)------------------------------
% 2.04/0.62 % (3798)Instruction limit reached!
% 2.04/0.62 % (3798)------------------------------
% 2.04/0.62 % (3798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (3798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (3798)Termination reason: Unknown
% 2.04/0.62 % (3798)Termination phase: Saturation
% 2.04/0.62
% 2.04/0.62 % (3798)Memory used [KB]: 6268
% 2.04/0.62 % (3798)Time elapsed: 0.224 s
% 2.04/0.62 % (3798)Instructions burned: 51 (million)
% 2.04/0.62 % (3798)------------------------------
% 2.04/0.62 % (3798)------------------------------
% 2.04/0.64 % (3805)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.04/0.64 % (3806)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.04/0.64 % (3807)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.04/0.65 % (3808)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.04/0.66 % (3809)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.04/0.66 % (3796)Instruction limit reached!
% 2.04/0.66 % (3796)------------------------------
% 2.04/0.66 % (3796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.66 % (3796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.66 % (3796)Termination reason: Unknown
% 2.04/0.66 % (3796)Termination phase: Saturation
% 2.04/0.66
% 2.04/0.66 % (3796)Memory used [KB]: 7675
% 2.04/0.66 % (3796)Time elapsed: 0.227 s
% 2.04/0.66 % (3796)Instructions burned: 82 (million)
% 2.04/0.66 % (3796)------------------------------
% 2.04/0.66 % (3796)------------------------------
% 2.04/0.66 % (3795)First to succeed.
% 2.04/0.66 % (3811)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.04/0.66 % (3810)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.04/0.66 % (3795)Refutation found. Thanks to Tanya!
% 2.04/0.66 % SZS status Theorem for theBenchmark
% 2.04/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.66 % (3795)------------------------------
% 2.04/0.66 % (3795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.66 % (3795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.66 % (3795)Termination reason: Refutation
% 2.04/0.66
% 2.04/0.66 % (3795)Memory used [KB]: 6652
% 2.04/0.66 % (3795)Time elapsed: 0.271 s
% 2.04/0.66 % (3795)Instructions burned: 81 (million)
% 2.04/0.66 % (3795)------------------------------
% 2.04/0.66 % (3795)------------------------------
% 2.04/0.66 % (3773)Success in time 0.328 s
%------------------------------------------------------------------------------