TSTP Solution File: NUM858+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM858+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_sat --cores 0 -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 : Wed Aug 31 18:07:02 EDT 2022
% Result : Theorem 2.89s 0.74s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 248 ( 7 unt; 0 def)
% Number of atoms : 759 ( 51 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 875 ( 364 ~; 415 |; 52 &)
% ( 34 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 20 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 225 ( 205 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1349,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f97,f135,f144,f199,f309,f542,f547,f570,f575,f603,f617,f622,f661,f662,f709,f718,f727,f893,f898,f1063,f1084,f1157,f1208,f1225,f1226,f1233,f1249,f1252,f1266,f1348]) ).
fof(f1348,plain,
( ~ spl5_2
| spl5_6
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl5_2
| spl5_6
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f1342,f143]) ).
fof(f143,plain,
( ~ lesseq(sK2,sK3)
| spl5_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl5_6
<=> lesseq(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f1342,plain,
( lesseq(sK2,sK3)
| ~ spl5_2
| ~ spl5_10 ),
inference(resolution,[],[f1311,f237]) ).
fof(f237,plain,
! [X0] : ub(X0,X0,X0),
inference(resolution,[],[f159,f79]) ).
fof(f79,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(f159,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| ub(X0,X1,X1) ),
inference(resolution,[],[f61,f79]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ lesseq(X1,X2)
| ~ lesseq(X0,X2)
| ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( lesseq(X0,X2)
& lesseq(X1,X2) )
| ~ ub(X0,X1,X2) )
& ( ub(X0,X1,X2)
| ~ lesseq(X0,X2)
| ~ lesseq(X1,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( ( ( lesseq(X1,X0)
& lesseq(X2,X0) )
| ~ ub(X1,X2,X0) )
& ( ub(X1,X2,X0)
| ~ lesseq(X1,X0)
| ~ lesseq(X2,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( ( ( lesseq(X1,X0)
& lesseq(X2,X0) )
| ~ ub(X1,X2,X0) )
& ( ub(X1,X2,X0)
| ~ lesseq(X1,X0)
| ~ lesseq(X2,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ( lesseq(X1,X0)
& lesseq(X2,X0) )
<=> ub(X1,X2,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ub(X0,X1,X2)
<=> ( lesseq(X1,X2)
& lesseq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
fof(f1311,plain,
( ! [X0] :
( ~ ub(sK3,sK3,X0)
| lesseq(sK2,X0) )
| ~ spl5_2
| ~ spl5_10 ),
inference(resolution,[],[f1277,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( model_ub(X2,X0,X1)
| ~ ub(X2,X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( model_ub(X2,X0,X1)
| ~ ub(X2,X0,X1) )
& ( ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( model_ub(X2,X0,X1)
<=> ub(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3,X0] :
( model_ub(X0,X1,X3)
<=> ub(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1) ).
fof(f1277,plain,
( ! [X0] :
( ~ model_ub(sK3,sK3,X0)
| lesseq(sK2,X0) )
| ~ spl5_2
| ~ spl5_10 ),
inference(resolution,[],[f1253,f69]) ).
fof(f69,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_ub(X1,X2,X0)
| ~ model_ub(X1,X2,X4)
| lesseq(X0,X4) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X1,X2,X0)
| ~ model_ub(X1,X2,X0)
| ( ~ lesseq(X0,sK1(X0,X1,X2))
& model_ub(X1,X2,sK1(X0,X1,X2)) ) )
& ( ( model_ub(X1,X2,X0)
& ! [X4] :
( lesseq(X0,X4)
| ~ model_ub(X1,X2,X4) ) )
| ~ minsol_model_ub(X1,X2,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X0,X3)
& model_ub(X1,X2,X3) )
=> ( ~ lesseq(X0,sK1(X0,X1,X2))
& model_ub(X1,X2,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X1,X2,X0)
| ~ model_ub(X1,X2,X0)
| ? [X3] :
( ~ lesseq(X0,X3)
& model_ub(X1,X2,X3) ) )
& ( ( model_ub(X1,X2,X0)
& ! [X4] :
( lesseq(X0,X4)
| ~ model_ub(X1,X2,X4) ) )
| ~ minsol_model_ub(X1,X2,X0) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X2,X0] :
( ( minsol_model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1)
| ? [X3] :
( ~ lesseq(X1,X3)
& model_ub(X2,X0,X3) ) )
& ( ( model_ub(X2,X0,X1)
& ! [X3] :
( lesseq(X1,X3)
| ~ model_ub(X2,X0,X3) ) )
| ~ minsol_model_ub(X2,X0,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( ( minsol_model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1)
| ? [X3] :
( ~ lesseq(X1,X3)
& model_ub(X2,X0,X3) ) )
& ( ( model_ub(X2,X0,X1)
& ! [X3] :
( lesseq(X1,X3)
| ~ model_ub(X2,X0,X3) ) )
| ~ minsol_model_ub(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( minsol_model_ub(X2,X0,X1)
<=> ( model_ub(X2,X0,X1)
& ! [X3] :
( lesseq(X1,X3)
| ~ model_ub(X2,X0,X3) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( minsol_model_ub(X2,X0,X1)
<=> ( ! [X3] :
( model_ub(X2,X0,X3)
=> lesseq(X1,X3) )
& model_ub(X2,X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X3,X0] :
( ( model_ub(X0,X1,X3)
& ! [X2] :
( model_ub(X0,X1,X2)
=> lesseq(X3,X2) ) )
<=> minsol_model_ub(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f1253,plain,
( minsol_model_ub(sK3,sK3,sK2)
| ~ spl5_2
| ~ spl5_10 ),
inference(backward_demodulation,[],[f94,f308]) ).
fof(f308,plain,
( sK3 = sK4
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl5_10
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f94,plain,
( minsol_model_ub(sK4,sK3,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl5_2
<=> minsol_model_ub(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f1266,plain,
( ~ spl5_10
| spl5_14 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1265,plain,
( $false
| ~ spl5_10
| spl5_14 ),
inference(subsumption_resolution,[],[f1256,f79]) ).
fof(f1256,plain,
( ~ lesseq(sK3,sK3)
| ~ spl5_10
| spl5_14 ),
inference(backward_demodulation,[],[f621,f308]) ).
fof(f621,plain,
( ~ lesseq(sK3,sK4)
| spl5_14 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f619,plain,
( spl5_14
<=> lesseq(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f1252,plain,
( spl5_3
| ~ spl5_5
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| spl5_3
| ~ spl5_5
| spl5_8 ),
inference(subsumption_resolution,[],[f1250,f1167]) ).
fof(f1167,plain,
( model_max(sK4,sK2,sK2)
| spl5_3 ),
inference(superposition,[],[f87,f1098]) ).
fof(f1098,plain,
( max(sK4,sK2) = sK2
| spl5_3 ),
inference(resolution,[],[f130,f112]) ).
fof(f112,plain,
! [X3,X4] :
( lesseq(X4,X3)
| max(X3,X4) = X4 ),
inference(resolution,[],[f84,f76]) ).
fof(f76,plain,
! [X0,X1] :
( lesseq(X0,X1)
| lesseq(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( lesseq(X0,X1)
| lesseq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
fof(f84,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X1,X0) = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X1,X0) = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(f130,plain,
( ~ lesseq(sK2,sK4)
| spl5_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl5_3
<=> lesseq(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f87,plain,
! [X2,X1] : model_max(X1,X2,max(X1,X2)),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( model_max(X1,X2,X0)
| max(X1,X2) != X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( max(X1,X2) = X0
| ~ model_max(X1,X2,X0) )
& ( model_max(X1,X2,X0)
| max(X1,X2) != X0 ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X2,X0] :
( ( max(X2,X0) = X1
| ~ model_max(X2,X0,X1) )
& ( model_max(X2,X0,X1)
| max(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( max(X2,X0) = X1
<=> model_max(X2,X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X3,X0] :
( model_max(X0,X1,X3)
<=> max(X0,X1) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1) ).
fof(f1250,plain,
( ~ model_max(sK4,sK2,sK2)
| ~ spl5_5
| spl5_8 ),
inference(forward_demodulation,[],[f198,f139]) ).
fof(f139,plain,
( sK3 = sK2
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl5_5
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f198,plain,
( ~ model_max(sK4,sK3,sK2)
| spl5_8 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl5_8
<=> model_max(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f1249,plain,
( spl5_1
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| spl5_1
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f1242,f1167]) ).
fof(f1242,plain,
( ~ model_max(sK4,sK2,sK2)
| spl5_1
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f1241,f1240]) ).
fof(f1240,plain,
( ~ minsol_model_max(sK4,sK2,sK2)
| spl5_1
| ~ spl5_5 ),
inference(forward_demodulation,[],[f91,f139]) ).
fof(f91,plain,
( ~ minsol_model_max(sK4,sK3,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl5_1
<=> minsol_model_max(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f1241,plain,
( minsol_model_max(sK4,sK2,sK2)
| ~ model_max(sK4,sK2,sK2)
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f1160,f79]) ).
fof(f1160,plain,
( ~ lesseq(sK2,sK2)
| ~ model_max(sK4,sK2,sK2)
| minsol_model_max(sK4,sK2,sK2)
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(superposition,[],[f64,f1124]) ).
fof(f1124,plain,
( sK2 = sK0(sK4,sK2,sK2)
| spl5_3
| ~ spl5_5
| ~ spl5_7 ),
inference(forward_demodulation,[],[f1123,f1098]) ).
fof(f1123,plain,
( max(sK4,sK2) = sK0(sK4,sK2,sK2)
| ~ spl5_5
| ~ spl5_7 ),
inference(resolution,[],[f1066,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ model_max(X1,X2,X0)
| max(X1,X2) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f1066,plain,
( model_max(sK4,sK2,sK0(sK4,sK2,sK2))
| ~ spl5_5
| ~ spl5_7 ),
inference(backward_demodulation,[],[f194,f139]) ).
fof(f194,plain,
( model_max(sK4,sK3,sK0(sK4,sK2,sK3))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl5_7
<=> model_max(sK4,sK3,sK0(sK4,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ lesseq(X1,sK0(X0,X1,X2))
| minsol_model_max(X0,X2,X1)
| ~ model_max(X0,X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ( model_max(X0,X2,X1)
& ! [X3] :
( ~ model_max(X0,X2,X3)
| lesseq(X1,X3) ) )
| ~ minsol_model_max(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| ~ model_max(X0,X2,X1)
| ( model_max(X0,X2,sK0(X0,X1,X2))
& ~ lesseq(X1,sK0(X0,X1,X2)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X4] :
( model_max(X0,X2,X4)
& ~ lesseq(X1,X4) )
=> ( model_max(X0,X2,sK0(X0,X1,X2))
& ~ lesseq(X1,sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ( model_max(X0,X2,X1)
& ! [X3] :
( ~ model_max(X0,X2,X3)
| lesseq(X1,X3) ) )
| ~ minsol_model_max(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| ~ model_max(X0,X2,X1)
| ? [X4] :
( model_max(X0,X2,X4)
& ~ lesseq(X1,X4) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ( ( model_max(X2,X1,X0)
& ! [X3] :
( ~ model_max(X2,X1,X3)
| lesseq(X0,X3) ) )
| ~ minsol_model_max(X2,X1,X0) )
& ( minsol_model_max(X2,X1,X0)
| ~ model_max(X2,X1,X0)
| ? [X3] :
( model_max(X2,X1,X3)
& ~ lesseq(X0,X3) ) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ( ( model_max(X2,X1,X0)
& ! [X3] :
( ~ model_max(X2,X1,X3)
| lesseq(X0,X3) ) )
| ~ minsol_model_max(X2,X1,X0) )
& ( minsol_model_max(X2,X1,X0)
| ~ model_max(X2,X1,X0)
| ? [X3] :
( model_max(X2,X1,X3)
& ~ lesseq(X0,X3) ) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( model_max(X2,X1,X0)
& ! [X3] :
( ~ model_max(X2,X1,X3)
| lesseq(X0,X3) ) )
<=> minsol_model_max(X2,X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ( model_max(X2,X1,X0)
& ! [X3] :
( model_max(X2,X1,X3)
=> lesseq(X0,X3) ) )
<=> minsol_model_max(X2,X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X1,X0] :
( ( ! [X2] :
( model_max(X0,X1,X2)
=> lesseq(X3,X2) )
& model_max(X0,X1,X3) )
<=> minsol_model_max(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f1233,plain,
( ~ spl5_5
| ~ spl5_9
| spl5_25 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| ~ spl5_5
| ~ spl5_9
| spl5_25 ),
inference(subsumption_resolution,[],[f1231,f1116]) ).
fof(f1116,plain,
( ub(sK4,sK2,sK2)
| ~ spl5_5
| ~ spl5_9 ),
inference(resolution,[],[f1067,f159]) ).
fof(f1067,plain,
( lesseq(sK4,sK2)
| ~ spl5_5
| ~ spl5_9 ),
inference(backward_demodulation,[],[f303,f139]) ).
fof(f303,plain,
( lesseq(sK4,sK3)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl5_9
<=> lesseq(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f1231,plain,
( ~ ub(sK4,sK2,sK2)
| spl5_25 ),
inference(resolution,[],[f1223,f83]) ).
fof(f1223,plain,
( ~ model_ub(sK4,sK2,sK2)
| spl5_25 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl5_25
<=> model_ub(sK4,sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1226,plain,
( spl5_23
| ~ spl5_5
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f1183,f567,f137,f1154]) ).
fof(f1154,plain,
( spl5_23
<=> lesseq(sK2,sK1(sK2,sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f567,plain,
( spl5_12
<=> model_ub(sK4,sK3,sK1(sK2,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f1183,plain,
( lesseq(sK2,sK1(sK2,sK4,sK2))
| ~ spl5_5
| ~ spl5_12 ),
inference(resolution,[],[f1130,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1130,plain,
( ub(sK4,sK2,sK1(sK2,sK4,sK2))
| ~ spl5_5
| ~ spl5_12 ),
inference(resolution,[],[f1070,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ model_ub(X2,X0,X1)
| ub(X2,X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f1070,plain,
( model_ub(sK4,sK2,sK1(sK2,sK4,sK2))
| ~ spl5_5
| ~ spl5_12 ),
inference(backward_demodulation,[],[f569,f139]) ).
fof(f569,plain,
( model_ub(sK4,sK3,sK1(sK2,sK4,sK3))
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1225,plain,
( ~ spl5_25
| ~ spl5_5
| spl5_11 ),
inference(avatar_split_clause,[],[f1209,f563,f137,f1221]) ).
fof(f563,plain,
( spl5_11
<=> model_ub(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f1209,plain,
( ~ model_ub(sK4,sK2,sK2)
| ~ spl5_5
| spl5_11 ),
inference(forward_demodulation,[],[f565,f139]) ).
fof(f565,plain,
( ~ model_ub(sK4,sK3,sK2)
| spl5_11 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1208,plain,
( spl5_2
| ~ spl5_5
| ~ spl5_11
| ~ spl5_22 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| spl5_2
| ~ spl5_5
| ~ spl5_11
| ~ spl5_22 ),
inference(subsumption_resolution,[],[f1206,f1087]) ).
fof(f1087,plain,
( ~ minsol_model_ub(sK4,sK2,sK2)
| spl5_2
| ~ spl5_5 ),
inference(forward_demodulation,[],[f95,f139]) ).
fof(f95,plain,
( ~ minsol_model_ub(sK4,sK3,sK2)
| spl5_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1206,plain,
( minsol_model_ub(sK4,sK2,sK2)
| ~ spl5_5
| ~ spl5_11
| ~ spl5_22 ),
inference(subsumption_resolution,[],[f1205,f79]) ).
fof(f1205,plain,
( ~ lesseq(sK2,sK2)
| minsol_model_ub(sK4,sK2,sK2)
| ~ spl5_5
| ~ spl5_11
| ~ spl5_22 ),
inference(subsumption_resolution,[],[f1204,f1069]) ).
fof(f1069,plain,
( model_ub(sK4,sK2,sK2)
| ~ spl5_5
| ~ spl5_11 ),
inference(backward_demodulation,[],[f564,f139]) ).
fof(f564,plain,
( model_ub(sK4,sK3,sK2)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f1204,plain,
( ~ lesseq(sK2,sK2)
| minsol_model_ub(sK4,sK2,sK2)
| ~ model_ub(sK4,sK2,sK2)
| ~ spl5_22 ),
inference(superposition,[],[f72,f1152]) ).
fof(f1152,plain,
( sK2 = sK1(sK2,sK4,sK2)
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1150,plain,
( spl5_22
<=> sK2 = sK1(sK2,sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ lesseq(X0,sK1(X0,X1,X2))
| ~ model_ub(X1,X2,X0)
| minsol_model_ub(X1,X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1157,plain,
( spl5_22
| ~ spl5_23
| ~ spl5_5
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f1139,f572,f137,f1154,f1150]) ).
fof(f572,plain,
( spl5_13
<=> lesseq(sK1(sK2,sK4,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1139,plain,
( ~ lesseq(sK2,sK1(sK2,sK4,sK2))
| sK2 = sK1(sK2,sK4,sK2)
| ~ spl5_5
| ~ spl5_13 ),
inference(resolution,[],[f1071,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| X0 = X1
| ~ lesseq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| ~ lesseq(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X1,X0)
| ~ lesseq(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( lesseq(X1,X0)
& lesseq(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( lesseq(X1,X0)
& lesseq(X0,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f1071,plain,
( lesseq(sK1(sK2,sK4,sK2),sK2)
| ~ spl5_5
| ~ spl5_13 ),
inference(backward_demodulation,[],[f574,f139]) ).
fof(f574,plain,
( lesseq(sK1(sK2,sK4,sK3),sK2)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1084,plain,
( ~ spl5_3
| ~ spl5_5
| spl5_14 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1083,plain,
( $false
| ~ spl5_3
| ~ spl5_5
| spl5_14 ),
inference(subsumption_resolution,[],[f1082,f129]) ).
fof(f129,plain,
( lesseq(sK2,sK4)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1082,plain,
( ~ lesseq(sK2,sK4)
| ~ spl5_5
| spl5_14 ),
inference(forward_demodulation,[],[f621,f139]) ).
fof(f1063,plain,
( spl5_2
| ~ spl5_4
| ~ spl5_11
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| spl5_2
| ~ spl5_4
| ~ spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1061,f79]) ).
fof(f1061,plain,
( ~ lesseq(sK2,sK2)
| spl5_2
| ~ spl5_4
| ~ spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1060,f830]) ).
fof(f830,plain,
( ~ minsol_model_ub(sK2,sK3,sK2)
| spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f95,f134]) ).
fof(f134,plain,
( sK2 = sK4
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl5_4
<=> sK2 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f1060,plain,
( minsol_model_ub(sK2,sK3,sK2)
| ~ lesseq(sK2,sK2)
| ~ spl5_4
| ~ spl5_11
| ~ spl5_17 ),
inference(subsumption_resolution,[],[f1059,f831]) ).
fof(f831,plain,
( model_ub(sK2,sK3,sK2)
| ~ spl5_4
| ~ spl5_11 ),
inference(forward_demodulation,[],[f564,f134]) ).
fof(f1059,plain,
( ~ model_ub(sK2,sK3,sK2)
| minsol_model_ub(sK2,sK3,sK2)
| ~ lesseq(sK2,sK2)
| ~ spl5_17 ),
inference(superposition,[],[f72,f888]) ).
fof(f888,plain,
( sK2 = sK1(sK2,sK2,sK3)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl5_17
<=> sK2 = sK1(sK2,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f898,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_18 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| spl5_18 ),
inference(subsumption_resolution,[],[f895,f892]) ).
fof(f892,plain,
( ~ lesseq(sK2,sK1(sK2,sK2,sK3))
| spl5_18 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl5_18
<=> lesseq(sK2,sK1(sK2,sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f895,plain,
( lesseq(sK2,sK1(sK2,sK2,sK3))
| ~ spl5_4
| ~ spl5_12 ),
inference(resolution,[],[f869,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f869,plain,
( ub(sK2,sK3,sK1(sK2,sK2,sK3))
| ~ spl5_4
| ~ spl5_12 ),
inference(resolution,[],[f835,f82]) ).
fof(f835,plain,
( model_ub(sK2,sK3,sK1(sK2,sK2,sK3))
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_demodulation,[],[f569,f134]) ).
fof(f893,plain,
( spl5_17
| ~ spl5_18
| ~ spl5_4
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f875,f572,f132,f890,f886]) ).
fof(f875,plain,
( ~ lesseq(sK2,sK1(sK2,sK2,sK3))
| sK2 = sK1(sK2,sK2,sK3)
| ~ spl5_4
| ~ spl5_13 ),
inference(resolution,[],[f836,f68]) ).
fof(f836,plain,
( lesseq(sK1(sK2,sK2,sK3),sK2)
| ~ spl5_4
| ~ spl5_13 ),
inference(forward_demodulation,[],[f574,f134]) ).
fof(f727,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl5_4
| ~ spl5_5
| spl5_8 ),
inference(subsumption_resolution,[],[f725,f109]) ).
fof(f109,plain,
! [X0] : model_max(X0,X0,X0),
inference(superposition,[],[f87,f99]) ).
fof(f99,plain,
! [X0] : max(X0,X0) = X0,
inference(resolution,[],[f60,f79]) ).
fof(f60,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X1,X0) = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( max(X1,X0) = X1
| ~ lesseq(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(f725,plain,
( ~ model_max(sK2,sK2,sK2)
| ~ spl5_4
| ~ spl5_5
| spl5_8 ),
inference(backward_demodulation,[],[f713,f139]) ).
fof(f713,plain,
( ~ model_max(sK2,sK3,sK2)
| ~ spl5_4
| spl5_8 ),
inference(forward_demodulation,[],[f198,f134]) ).
fof(f718,plain,
( ~ spl5_4
| spl5_6
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl5_4
| spl5_6
| spl5_8 ),
inference(subsumption_resolution,[],[f716,f713]) ).
fof(f716,plain,
( model_max(sK2,sK3,sK2)
| spl5_6 ),
inference(superposition,[],[f87,f674]) ).
fof(f674,plain,
( sK2 = max(sK2,sK3)
| spl5_6 ),
inference(resolution,[],[f673,f60]) ).
fof(f673,plain,
( lesseq(sK3,sK2)
| spl5_6 ),
inference(resolution,[],[f143,f76]) ).
fof(f709,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| spl5_1
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(subsumption_resolution,[],[f707,f667]) ).
fof(f667,plain,
( ~ minsol_model_max(sK2,sK3,sK2)
| spl5_1
| ~ spl5_4 ),
inference(forward_demodulation,[],[f91,f134]) ).
fof(f707,plain,
( minsol_model_max(sK2,sK3,sK2)
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(subsumption_resolution,[],[f706,f627]) ).
fof(f627,plain,
( model_max(sK2,sK3,sK2)
| ~ spl5_4
| ~ spl5_8 ),
inference(backward_demodulation,[],[f197,f134]) ).
fof(f197,plain,
( model_max(sK4,sK3,sK2)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f706,plain,
( ~ model_max(sK2,sK3,sK2)
| minsol_model_max(sK2,sK3,sK2)
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(subsumption_resolution,[],[f705,f79]) ).
fof(f705,plain,
( ~ lesseq(sK2,sK2)
| ~ model_max(sK2,sK3,sK2)
| minsol_model_max(sK2,sK3,sK2)
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(superposition,[],[f64,f693]) ).
fof(f693,plain,
( sK0(sK2,sK2,sK3) = sK2
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(forward_demodulation,[],[f692,f643]) ).
fof(f643,plain,
( sK2 = max(sK2,sK3)
| ~ spl5_4
| ~ spl5_8 ),
inference(backward_demodulation,[],[f601,f134]) ).
fof(f601,plain,
( sK2 = max(sK4,sK3)
| ~ spl5_8 ),
inference(resolution,[],[f197,f74]) ).
fof(f692,plain,
( sK0(sK2,sK2,sK3) = max(sK2,sK3)
| ~ spl5_4
| ~ spl5_7 ),
inference(resolution,[],[f664,f74]) ).
fof(f664,plain,
( model_max(sK2,sK3,sK0(sK2,sK2,sK3))
| ~ spl5_4
| ~ spl5_7 ),
inference(forward_demodulation,[],[f194,f134]) ).
fof(f662,plain,
( spl5_6
| ~ spl5_4
| spl5_11 ),
inference(avatar_split_clause,[],[f658,f563,f132,f141]) ).
fof(f658,plain,
( lesseq(sK2,sK3)
| ~ spl5_4
| spl5_11 ),
inference(resolution,[],[f654,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ub(X0,X1,X0)
| lesseq(X0,X1) ),
inference(resolution,[],[f160,f79]) ).
fof(f160,plain,
! [X2,X3,X4] :
( ~ lesseq(X2,X3)
| lesseq(X3,X4)
| ub(X2,X4,X3) ),
inference(resolution,[],[f61,f76]) ).
fof(f654,plain,
( ~ ub(sK2,sK3,sK2)
| ~ spl5_4
| spl5_11 ),
inference(resolution,[],[f641,f83]) ).
fof(f641,plain,
( ~ model_ub(sK2,sK3,sK2)
| ~ spl5_4
| spl5_11 ),
inference(backward_demodulation,[],[f565,f134]) ).
fof(f661,plain,
( ~ spl5_6
| ~ spl5_4
| spl5_9 ),
inference(avatar_split_clause,[],[f630,f302,f132,f141]) ).
fof(f630,plain,
( ~ lesseq(sK2,sK3)
| ~ spl5_4
| spl5_9 ),
inference(backward_demodulation,[],[f304,f134]) ).
fof(f304,plain,
( ~ lesseq(sK4,sK3)
| spl5_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f622,plain,
( spl5_10
| ~ spl5_14
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f606,f302,f619,f306]) ).
fof(f606,plain,
( ~ lesseq(sK3,sK4)
| sK3 = sK4
| ~ spl5_9 ),
inference(resolution,[],[f303,f68]) ).
fof(f617,plain,
( spl5_5
| ~ spl5_8
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f616,f302,f196,f137]) ).
fof(f616,plain,
( sK3 = sK2
| ~ spl5_8
| ~ spl5_9 ),
inference(forward_demodulation,[],[f608,f601]) ).
fof(f608,plain,
( sK3 = max(sK4,sK3)
| ~ spl5_9 ),
inference(resolution,[],[f303,f84]) ).
fof(f603,plain,
( spl5_4
| ~ spl5_8
| spl5_9 ),
inference(avatar_split_clause,[],[f602,f302,f196,f132]) ).
fof(f602,plain,
( sK2 = sK4
| ~ spl5_8
| spl5_9 ),
inference(backward_demodulation,[],[f351,f601]) ).
fof(f351,plain,
( sK4 = max(sK4,sK3)
| spl5_9 ),
inference(resolution,[],[f304,f100]) ).
fof(f100,plain,
! [X2,X1] :
( lesseq(X1,X2)
| max(X1,X2) = X1 ),
inference(resolution,[],[f60,f76]) ).
fof(f575,plain,
( ~ spl5_11
| spl5_13
| spl5_2 ),
inference(avatar_split_clause,[],[f560,f93,f572,f563]) ).
fof(f560,plain,
( lesseq(sK1(sK2,sK4,sK3),sK2)
| ~ model_ub(sK4,sK3,sK2)
| spl5_2 ),
inference(resolution,[],[f95,f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| lesseq(sK1(X2,X0,X1),X2) ),
inference(resolution,[],[f72,f76]) ).
fof(f570,plain,
( ~ spl5_11
| spl5_12
| spl5_2 ),
inference(avatar_split_clause,[],[f561,f93,f567,f563]) ).
fof(f561,plain,
( model_ub(sK4,sK3,sK1(sK2,sK4,sK3))
| ~ model_ub(sK4,sK3,sK2)
| spl5_2 ),
inference(resolution,[],[f95,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( minsol_model_ub(X1,X2,X0)
| model_ub(X1,X2,sK1(X0,X1,X2))
| ~ model_ub(X1,X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f547,plain,
( spl5_8
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f544,f89,f196]) ).
fof(f544,plain,
( model_max(sK4,sK3,sK2)
| ~ spl5_1 ),
inference(resolution,[],[f90,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ minsol_model_max(X0,X2,X1)
| model_max(X0,X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f90,plain,
( minsol_model_max(sK4,sK3,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f542,plain,
( ~ spl5_2
| spl5_3
| spl5_9 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl5_2
| spl5_3
| spl5_9 ),
inference(subsumption_resolution,[],[f540,f130]) ).
fof(f540,plain,
( lesseq(sK2,sK4)
| ~ spl5_2
| spl5_9 ),
inference(subsumption_resolution,[],[f539,f304]) ).
fof(f539,plain,
( lesseq(sK4,sK3)
| lesseq(sK2,sK4)
| ~ spl5_2 ),
inference(resolution,[],[f325,f236]) ).
fof(f236,plain,
( ! [X0] :
( ~ ub(sK4,sK3,X0)
| lesseq(sK2,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f179,f83]) ).
fof(f179,plain,
( ! [X0] :
( ~ model_ub(sK4,sK3,X0)
| lesseq(sK2,X0) )
| ~ spl5_2 ),
inference(resolution,[],[f69,f94]) ).
fof(f309,plain,
( ~ spl5_9
| spl5_10
| ~ spl5_2
| spl5_6 ),
inference(avatar_split_clause,[],[f298,f141,f93,f306,f302]) ).
fof(f298,plain,
( sK3 = sK4
| ~ lesseq(sK4,sK3)
| ~ spl5_2
| spl5_6 ),
inference(resolution,[],[f293,f68]) ).
fof(f293,plain,
( lesseq(sK3,sK4)
| ~ spl5_2
| spl5_6 ),
inference(subsumption_resolution,[],[f292,f143]) ).
fof(f292,plain,
( lesseq(sK3,sK4)
| lesseq(sK2,sK3)
| ~ spl5_2 ),
inference(resolution,[],[f239,f236]) ).
fof(f239,plain,
! [X3,X4] :
( ub(X3,X4,X4)
| lesseq(X4,X3) ),
inference(resolution,[],[f159,f76]) ).
fof(f199,plain,
( spl5_7
| ~ spl5_8
| spl5_1 ),
inference(avatar_split_clause,[],[f188,f89,f196,f192]) ).
fof(f188,plain,
( ~ model_max(sK4,sK3,sK2)
| model_max(sK4,sK3,sK0(sK4,sK2,sK3))
| spl5_1 ),
inference(resolution,[],[f65,f91]) ).
fof(f65,plain,
! [X2,X0,X1] :
( minsol_model_max(X0,X2,X1)
| ~ model_max(X0,X2,X1)
| model_max(X0,X2,sK0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f144,plain,
( spl5_5
| ~ spl5_6
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f125,f93,f141,f137]) ).
fof(f125,plain,
( ~ lesseq(sK2,sK3)
| sK3 = sK2
| ~ spl5_2 ),
inference(resolution,[],[f68,f106]) ).
fof(f106,plain,
( lesseq(sK3,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f104,f62]) ).
fof(f104,plain,
( ub(sK4,sK3,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f102,f82]) ).
fof(f102,plain,
( model_ub(sK4,sK3,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f70,f94]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ minsol_model_ub(X1,X2,X0)
| model_ub(X1,X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f135,plain,
( ~ spl5_3
| spl5_4
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f126,f93,f132,f128]) ).
fof(f126,plain,
( sK2 = sK4
| ~ lesseq(sK2,sK4)
| ~ spl5_2 ),
inference(resolution,[],[f68,f105]) ).
fof(f105,plain,
( lesseq(sK4,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f104,f63]) ).
fof(f97,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f80,f93,f89]) ).
fof(f80,plain,
( minsol_model_ub(sK4,sK3,sK2)
| minsol_model_max(sK4,sK3,sK2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( ~ minsol_model_max(sK4,sK3,sK2)
| ~ minsol_model_ub(sK4,sK3,sK2) )
& ( minsol_model_max(sK4,sK3,sK2)
| minsol_model_ub(sK4,sK3,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f53,f54]) ).
fof(f54,plain,
( ? [X0,X1,X2] :
( ( ~ minsol_model_max(X2,X1,X0)
| ~ minsol_model_ub(X2,X1,X0) )
& ( minsol_model_max(X2,X1,X0)
| minsol_model_ub(X2,X1,X0) ) )
=> ( ( ~ minsol_model_max(sK4,sK3,sK2)
| ~ minsol_model_ub(sK4,sK3,sK2) )
& ( minsol_model_max(sK4,sK3,sK2)
| minsol_model_ub(sK4,sK3,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ( ~ 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(rectify,[],[f52]) ).
fof(f52,plain,
? [X0,X2,X1] :
( ( ~ minsol_model_max(X1,X2,X0)
| ~ minsol_model_ub(X1,X2,X0) )
& ( minsol_model_max(X1,X2,X0)
| minsol_model_ub(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
? [X0,X2,X1] :
( minsol_model_ub(X1,X2,X0)
<~> minsol_model_max(X1,X2,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X2,X0,X1] :
( minsol_model_ub(X1,X2,X0)
<=> minsol_model_max(X1,X2,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X2,X0,X1] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f96,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f81,f93,f89]) ).
fof(f81,plain,
( ~ minsol_model_ub(sK4,sK3,sK2)
| ~ minsol_model_max(sK4,sK3,sK2) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:02:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.56 % (14288)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (14279)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.58 % (14285)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (14300)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.58 % (14284)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.59 % (14283)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (14308)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.59 TRYING [1]
% 0.21/0.59 TRYING [2]
% 0.21/0.59 % (14281)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.59 % (14290)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59 % (14304)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.59 TRYING [3]
% 0.21/0.60 % (14292)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.60 % (14289)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60 % (14280)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60 % (14291)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.60 % (14280)Refutation not found, incomplete strategy% (14280)------------------------------
% 0.21/0.60 % (14280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (14280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (14280)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.60
% 0.21/0.60 % (14280)Memory used [KB]: 5500
% 0.21/0.60 % (14280)Time elapsed: 0.175 s
% 0.21/0.60 % (14280)Instructions burned: 3 (million)
% 0.21/0.60 % (14280)------------------------------
% 0.21/0.60 % (14280)------------------------------
% 0.21/0.60 TRYING [1]
% 0.21/0.60 TRYING [2]
% 1.71/0.60 TRYING [3]
% 1.71/0.60 % (14301)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.71/0.60 % (14286)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.71/0.61 % (14302)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.71/0.61 % (14294)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.71/0.61 % (14295)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.61 % (14282)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.62 % (14293)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.71/0.62 % (14303)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.62 TRYING [4]
% 1.71/0.62 % (14307)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.07/0.62 % (14287)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.07/0.63 % (14287)Instruction limit reached!
% 2.07/0.63 % (14287)------------------------------
% 2.07/0.63 % (14287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (14287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (14287)Termination reason: Unknown
% 2.07/0.63 % (14287)Termination phase: shuffling
% 2.07/0.63
% 2.07/0.63 % (14287)Memory used [KB]: 895
% 2.07/0.63 % (14287)Time elapsed: 0.003 s
% 2.07/0.63 % (14287)Instructions burned: 3 (million)
% 2.07/0.63 % (14287)------------------------------
% 2.07/0.63 % (14287)------------------------------
% 2.07/0.63 TRYING [4]
% 2.07/0.63 % (14306)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.07/0.63 % (14286)Instruction limit reached!
% 2.07/0.63 % (14286)------------------------------
% 2.07/0.63 % (14286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63 % (14286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63 % (14286)Termination reason: Unknown
% 2.07/0.63 % (14286)Termination phase: Saturation
% 2.07/0.63
% 2.07/0.63 % (14286)Memory used [KB]: 5500
% 2.07/0.63 % (14286)Time elapsed: 0.160 s
% 2.07/0.63 % (14286)Instructions burned: 7 (million)
% 2.07/0.63 % (14286)------------------------------
% 2.07/0.63 % (14286)------------------------------
% 2.07/0.63 % (14305)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.07/0.63 % (14299)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.07/0.63 % (14296)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.07/0.63 % (14298)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.63 % (14297)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.64 TRYING [1]
% 2.07/0.64 TRYING [2]
% 2.07/0.65 TRYING [3]
% 2.33/0.66 TRYING [4]
% 2.33/0.66 % (14288)Instruction limit reached!
% 2.33/0.66 % (14288)------------------------------
% 2.33/0.66 % (14288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.66 % (14288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.66 % (14288)Termination reason: Unknown
% 2.33/0.66 % (14288)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (14288)Memory used [KB]: 1407
% 2.33/0.66 % (14288)Time elapsed: 0.217 s
% 2.33/0.66 % (14288)Instructions burned: 51 (million)
% 2.33/0.66 % (14288)------------------------------
% 2.33/0.66 % (14288)------------------------------
% 2.33/0.66 TRYING [5]
% 2.33/0.66 % (14284)Instruction limit reached!
% 2.33/0.66 % (14284)------------------------------
% 2.33/0.66 % (14284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.66 % (14284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.66 % (14284)Termination reason: Unknown
% 2.33/0.66 % (14284)Termination phase: Saturation
% 2.33/0.66
% 2.33/0.66 % (14284)Memory used [KB]: 5756
% 2.33/0.66 % (14284)Time elapsed: 0.220 s
% 2.33/0.66 % (14284)Instructions burned: 48 (million)
% 2.33/0.66 % (14284)------------------------------
% 2.33/0.66 % (14284)------------------------------
% 2.33/0.68 TRYING [5]
% 2.33/0.68 % (14285)Instruction limit reached!
% 2.33/0.68 % (14285)------------------------------
% 2.33/0.68 % (14285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68 % (14285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68 % (14285)Termination reason: Unknown
% 2.33/0.68 % (14285)Termination phase: Finite model building constraint generation
% 2.33/0.68
% 2.33/0.68 % (14285)Memory used [KB]: 7675
% 2.33/0.68 % (14285)Time elapsed: 0.262 s
% 2.33/0.68 % (14285)Instructions burned: 53 (million)
% 2.33/0.68 % (14285)------------------------------
% 2.33/0.68 % (14285)------------------------------
% 2.33/0.70 TRYING [5]
% 2.33/0.72 % (14300)First to succeed.
% 2.33/0.72 % (14281)Instruction limit reached!
% 2.33/0.72 % (14281)------------------------------
% 2.33/0.72 % (14281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (14281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (14281)Termination reason: Unknown
% 2.33/0.72 % (14281)Termination phase: Saturation
% 2.33/0.72
% 2.33/0.72 % (14281)Memory used [KB]: 1407
% 2.33/0.72 % (14281)Time elapsed: 0.294 s
% 2.33/0.72 % (14281)Instructions burned: 37 (million)
% 2.33/0.72 % (14281)------------------------------
% 2.33/0.72 % (14281)------------------------------
% 2.33/0.73 % (14296)Instruction limit reached!
% 2.33/0.73 % (14296)------------------------------
% 2.33/0.73 % (14296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.73 % (14296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.73 % (14296)Termination reason: Unknown
% 2.33/0.73 % (14296)Termination phase: Finite model building constraint generation
% 2.33/0.73
% 2.33/0.73 % (14296)Memory used [KB]: 7803
% 2.33/0.73 % (14296)Time elapsed: 0.288 s
% 2.33/0.73 % (14296)Instructions burned: 59 (million)
% 2.33/0.73 % (14296)------------------------------
% 2.33/0.73 % (14296)------------------------------
% 2.89/0.74 % (14300)Refutation found. Thanks to Tanya!
% 2.89/0.74 % SZS status Theorem for theBenchmark
% 2.89/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/0.75 % (14300)------------------------------
% 2.89/0.75 % (14300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.75 % (14300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.75 % (14300)Termination reason: Refutation
% 2.89/0.75
% 2.89/0.75 % (14300)Memory used [KB]: 6012
% 2.89/0.75 % (14300)Time elapsed: 0.286 s
% 2.89/0.75 % (14300)Instructions burned: 65 (million)
% 2.89/0.75 % (14300)------------------------------
% 2.89/0.75 % (14300)------------------------------
% 2.89/0.75 % (14278)Success in time 0.378 s
%------------------------------------------------------------------------------