TSTP Solution File: DAT029_1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : DAT029_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n022.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 : Mon Jun 24 05:53:11 EDT 2024
% Result : Theorem 23.41s 3.73s
% Output : Refutation 23.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 75
% Syntax : Number of formulae : 377 ( 124 unt; 9 typ; 0 def)
% Number of atoms : 747 ( 110 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 655 ( 276 ~; 271 |; 46 &)
% ( 43 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 1758 ( 347 atm; 534 fun; 434 num; 443 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 44 ( 40 usr; 40 prp; 0-2 aty)
% Number of functors : 18 ( 7 usr; 11 con; 0-2 aty)
% Number of variables : 481 ( 457 !; 24 ?; 481 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_11,type,
sK0: collection ).
tff(func_def_12,type,
sK1: collection ).
tff(func_def_13,type,
sK2: $int ).
tff(func_def_14,type,
sK3: $int > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1099,plain,
$false,
inference(avatar_smt_refutation,[],[f64,f69,f76,f151,f157,f167,f211,f355,f367,f552,f562,f575,f587,f595,f620,f686,f695,f710,f720,f734,f739,f850,f855,f864,f882,f892,f908,f909,f990,f1000,f1044,f1052,f1053,f1064,f1088,f1098]) ).
tff(f1098,plain,
( spl4_39
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f417,f61,f1095]) ).
tff(f1095,plain,
( spl4_39
<=> $less(0,$sum($product(2,sK2),$uminus($product(5,sK3(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
tff(f61,plain,
( spl4_1
<=> in(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f417,plain,
( $less(0,$sum($product(2,sK2),$uminus($product(5,sK3(sK2)))))
| ~ spl4_1 ),
inference(resolution,[],[f45,f63]) ).
tff(f63,plain,
( in(sK2,sK0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f45,plain,
! [X3: $int] :
( ~ in(X3,sK0)
| $less(0,$sum($product(2,X3),$uminus($product(5,sK3(X3))))) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( ~ $less(2,sK2)
& in(sK2,sK0)
& ! [X3: $int] :
( ( $less(0,$sum($product(2,X3),$uminus($product(5,sK3(X3)))))
& in(sK3(X3),sK1) )
| ~ in(X3,sK0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f34,f37,f36,f35]) ).
tff(f35,plain,
( ? [X0: collection,X1: collection] :
( ? [X2: $int] :
( ~ $less(2,X2)
& in(X2,X0) )
& ! [X3: $int] :
( ? [X4: $int] :
( $less(0,$sum($product(2,X3),$uminus($product(5,X4))))
& in(X4,X1) )
| ~ in(X3,X0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,X1) ) )
=> ( ? [X2: $int] :
( ~ $less(2,X2)
& in(X2,sK0) )
& ! [X3: $int] :
( ? [X4: $int] :
( $less(0,$sum($product(2,X3),$uminus($product(5,X4))))
& in(X4,sK1) )
| ~ in(X3,sK0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
( ? [X2: $int] :
( ~ $less(2,X2)
& in(X2,sK0) )
=> ( ~ $less(2,sK2)
& in(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
! [X3: $int] :
( ? [X4: $int] :
( $less(0,$sum($product(2,X3),$uminus($product(5,X4))))
& in(X4,sK1) )
=> ( $less(0,$sum($product(2,X3),$uminus($product(5,sK3(X3)))))
& in(sK3(X3),sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f34,plain,
? [X0: collection,X1: collection] :
( ? [X2: $int] :
( ~ $less(2,X2)
& in(X2,X0) )
& ! [X3: $int] :
( ? [X4: $int] :
( $less(0,$sum($product(2,X3),$uminus($product(5,X4))))
& in(X4,X1) )
| ~ in(X3,X0) )
& ! [X5: $int] :
( $less(0,X5)
| ~ in(X5,X1) ) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
? [X0: collection,X1: collection] :
( ? [X5: $int] :
( ~ $less(2,X5)
& in(X5,X0) )
& ! [X2: $int] :
( ? [X3: $int] :
( $less(0,$sum($product(2,X2),$uminus($product(5,X3))))
& in(X3,X1) )
| ~ in(X2,X0) )
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) ) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
? [X0: collection,X1: collection] :
( ? [X5: $int] :
( ~ $less(2,X5)
& in(X5,X0) )
& ! [X2: $int] :
( ? [X3: $int] :
( $less(0,$sum($product(2,X2),$uminus($product(5,X3))))
& in(X3,X1) )
| ~ in(X2,X0) )
& ! [X4: $int] :
( $less(0,X4)
| ~ in(X4,X1) ) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,plain,
~ ! [X0: collection,X1: collection] :
( ( ! [X2: $int] :
( in(X2,X0)
=> ? [X3: $int] :
( $less(0,$sum($product(2,X2),$uminus($product(5,X3))))
& in(X3,X1) ) )
& ! [X4: $int] :
( in(X4,X1)
=> $less(0,X4) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $less(2,X5) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( $less(0,$sum($product(2,X3),$uminus($product(5,X4))))
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $less(2,X5) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( $greater($difference($product(2,X3),$product(5,X4)),0)
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,2) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: collection] :
( ( ! [X3: $int] :
( in(X3,X0)
=> ? [X4: $int] :
( $greater($difference($product(2,X3),$product(5,X4)),0)
& in(X4,X1) ) )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X5: $int] :
( in(X5,X0)
=> $greater(X5,2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1088,plain,
( spl4_38
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f975,f692,f1085]) ).
tff(f1085,plain,
( spl4_38
<=> $less($sum(-1,sK2),4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
tff(f692,plain,
( spl4_21
<=> $less(sK2,4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
tff(f975,plain,
( $less($sum(-1,sK2),4)
| ~ spl4_21 ),
inference(resolution,[],[f961,f702]) ).
tff(f702,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,4) )
| ~ spl4_21 ),
inference(resolution,[],[f694,f15]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_151,[]) ).
tff(f694,plain,
( $less(sK2,4)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f692]) ).
tff(f961,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f942]) ).
tff(f942,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f106,f541]) ).
tff(f541,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f514]) ).
tff(f514,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f10,f13]) ).
tff(f13,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f106,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f101,f9]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f101,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f18,f14]) ).
tff(f14,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f1064,plain,
( ~ spl4_37
| ~ spl4_7
| spl4_9 ),
inference(avatar_split_clause,[],[f1009,f352,f204,f1061]) ).
tff(f1061,plain,
( spl4_37
<=> $less(sK3(2),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
tff(f204,plain,
( spl4_7
<=> ( 2 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f352,plain,
( spl4_9
<=> $less(sK3(sK2),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
tff(f1009,plain,
( ~ $less(sK3(2),1)
| ~ spl4_7
| spl4_9 ),
inference(superposition,[],[f354,f206]) ).
tff(f206,plain,
( ( 2 = sK2 )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f354,plain,
( ~ $less(sK3(sK2),1)
| spl4_9 ),
inference(avatar_component_clause,[],[f352]) ).
tff(f1053,plain,
( spl4_36
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f1046,f1041,f1049]) ).
tff(f1049,plain,
( spl4_36
<=> $less(0,sK3(2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
tff(f1041,plain,
( spl4_35
<=> in(2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
tff(f1046,plain,
( $less(0,sK3(2))
| ~ spl4_35 ),
inference(resolution,[],[f1043,f70]) ).
tff(f70,plain,
! [X0: $int] :
( ~ in(X0,sK0)
| $less(0,sK3(X0)) ),
inference(resolution,[],[f44,f43]) ).
tff(f43,plain,
! [X5: $int] :
( ~ in(X5,sK1)
| $less(0,X5) ),
inference(cnf_transformation,[],[f38]) ).
tff(f44,plain,
! [X3: $int] :
( in(sK3(X3),sK1)
| ~ in(X3,sK0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f1043,plain,
( in(2,sK0)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f1041]) ).
tff(f1052,plain,
( spl4_36
| ~ spl4_3
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1003,f204,f73,f1049]) ).
tff(f73,plain,
( spl4_3
<=> $less(0,sK3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f1003,plain,
( $less(0,sK3(2))
| ~ spl4_3
| ~ spl4_7 ),
inference(superposition,[],[f75,f206]) ).
tff(f75,plain,
( $less(0,sK3(sK2))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f1044,plain,
( spl4_35
| ~ spl4_1
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1001,f204,f61,f1041]) ).
tff(f1001,plain,
( in(2,sK0)
| ~ spl4_1
| ~ spl4_7 ),
inference(superposition,[],[f63,f206]) ).
tff(f1000,plain,
( spl4_34
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f976,f549,f997]) ).
tff(f997,plain,
( spl4_34
<=> $less($sum(-1,sK2),3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
tff(f549,plain,
( spl4_13
<=> $less(sK2,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
tff(f976,plain,
( $less($sum(-1,sK2),3)
| ~ spl4_13 ),
inference(resolution,[],[f961,f557]) ).
tff(f557,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,3) )
| ~ spl4_13 ),
inference(resolution,[],[f551,f15]) ).
tff(f551,plain,
( $less(sK2,3)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f549]) ).
tff(f990,plain,
( spl4_33
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f977,f208,f987]) ).
tff(f987,plain,
( spl4_33
<=> $less($sum(-1,sK2),2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
tff(f208,plain,
( spl4_8
<=> $less(sK2,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f977,plain,
( $less($sum(-1,sK2),2)
| ~ spl4_8 ),
inference(resolution,[],[f961,f213]) ).
tff(f213,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,2) )
| ~ spl4_8 ),
inference(resolution,[],[f210,f15]) ).
tff(f210,plain,
( $less(sK2,2)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f909,plain,
( spl4_31
| spl4_26
| spl4_27 ),
inference(avatar_split_clause,[],[f876,f852,f847,f889]) ).
tff(f889,plain,
( spl4_31
<=> $less(0,$sum(3,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
tff(f847,plain,
( spl4_26
<=> $less($sum(3,sK3(sK2)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
tff(f852,plain,
( spl4_27
<=> $less($sum(3,sK3(sK2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
tff(f876,plain,
( $less(0,$sum(3,sK3(sK2)))
| spl4_26
| spl4_27 ),
inference(global_subsumption,[],[f874,f26,f57,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f47,f46,f45,f44,f43,f48,f49,f50,f58,f52,f51,f56,f59,f54,f46,f47,f14,f48,f43,f11,f19,f22,f23,f49,f50,f44,f70,f70,f13,f77,f77,f9,f20,f90,f92,f94,f96,f90,f18,f101,f102,f103,f105,f101,f106,f107,f106,f105,f26,f118,f119,f120,f122,f122,f124,f52,f54,f102,f130,f131,f15,f137,f138,f139,f140,f141,f142,f131,f169,f172,f173,f16,f187,f189,f193,f195,f197,f201,f12,f248,f249,f252,f253,f256,f257,f119,f306,f307,f308,f312,f313,f17,f319,f323,f325,f326,f327,f328,f329,f331,f332,f333,f334,f335,f313,f340,f341,f344,f347,f45,f138,f475,f476,f477,f482,f483,f484,f485,f486,f488,f477,f507,f506,f505,f502,f503,f10,f541,f515,f516,f540,f518,f521,f522,f523,f524,f525,f526,f527,f529,f530,f531,f532,f533,f539,f21,f598,f599,f604,f605,f608,f609,f502,f648,f647,f646,f505,f655,f660,f661,f507,f680,f679,f678,f676,f677,f51,f56,f660,f755,f761,f676,f781,f780,f779,f778,f678,f792,f797,f798,f24,f799,f801,f802,f822,f805,f807,f808,f825,f811,f812,f813,f814,f815,f816,f817,f680,f844,f843,f842,f840,f841,f849,f849,f870,f871,f872]) ).
tff(f872,plain,
( $less(1,$sum(3,sK3(sK2)))
| ( 1 = $sum(3,sK3(sK2)) )
| spl4_26 ),
inference(resolution,[],[f849,f16]) ).
tff(f871,plain,
( $less(1,$sum(3,sK3(sK2)))
| ( 1 = $sum(3,sK3(sK2)) )
| spl4_26 ),
inference(resolution,[],[f849,f16]) ).
tff(f870,plain,
( $less(0,$sum(3,sK3(sK2)))
| spl4_26 ),
inference(resolution,[],[f849,f131]) ).
tff(f849,plain,
( ~ $less($sum(3,sK3(sK2)),1)
| spl4_26 ),
inference(avatar_component_clause,[],[f847]) ).
tff(f841,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f680,f9]) ).
tff(f840,plain,
! [X0: $int] : ~ $less($sum(X0,3),X0),
inference(superposition,[],[f680,f9]) ).
tff(f842,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f832]) ).
tff(f832,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(X0,1))),
inference(resolution,[],[f680,f18]) ).
tff(f843,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f831]) ).
tff(f831,plain,
! [X0: $int] : ~ $less($sum(3,$sum(X0,1)),X0),
inference(resolution,[],[f680,f138]) ).
tff(f844,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f830]) ).
tff(f830,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(1,X0))),
inference(resolution,[],[f680,f102]) ).
tff(f817,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X2),$product(X0,X1)) ),
inference(superposition,[],[f9,f24]) ).
tff(f816,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X2),$product(X0,X1)) ),
inference(superposition,[],[f9,f24]) ).
tff(f815,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($product(X0,$sum(X1,X2)),$sum(X3,$product(X0,X2)))
| ~ $less($product(X0,X1),X3) ),
inference(superposition,[],[f17,f24]) ).
tff(f814,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,$product(X0,X2)),$product(X0,$sum(X1,X2)))
| ~ $less(X3,$product(X0,X1)) ),
inference(superposition,[],[f17,f24]) ).
tff(f813,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $sum($product(X0,X1),$sum($product(X0,X2),X3)) = $sum($product(X0,$sum(X1,X2)),X3) ),
inference(superposition,[],[f10,f24]) ).
tff(f812,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X2),$product(X0,X1)) ),
inference(superposition,[],[f24,f9]) ).
tff(f811,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X2),$product(X0,X1)) ),
inference(superposition,[],[f24,f9]) ).
tff(f825,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $sum($product(X0,$product(X1,X3)),$product(X0,$product(X1,X2))) = $product(X0,$product(X1,$sum(X3,X2))) ),
inference(forward_demodulation,[],[f824,f21]) ).
tff(f824,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),$sum(X3,X2)) = $sum($product(X0,$product(X1,X3)),$product(X0,$product(X1,X2))) ),
inference(forward_demodulation,[],[f810,f21]) ).
tff(f810,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),$sum(X3,X2)) = $sum($product($product(X0,X1),X3),$product(X0,$product(X1,X2))) ),
inference(superposition,[],[f24,f21]) ).
tff(f808,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X2,X1)) = $sum($product(X0,X2),$product(X1,X0)) ),
inference(superposition,[],[f24,f20]) ).
tff(f807,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X2,X1)) = $sum($product(X0,X2),$product(X1,X0)) ),
inference(superposition,[],[f24,f20]) ).
tff(f805,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(X1,1)) = $sum($product(X0,X1),X0) ),
inference(superposition,[],[f24,f22]) ).
tff(f822,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $sum($product(X0,$product(X1,X2)),$product(X0,$product(X1,X3))) = $product(X0,$product(X1,$sum(X2,X3))) ),
inference(forward_demodulation,[],[f821,f21]) ).
tff(f821,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),$sum(X2,X3)) = $sum($product(X0,$product(X1,X2)),$product(X0,$product(X1,X3))) ),
inference(forward_demodulation,[],[f804,f21]) ).
tff(f804,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] : ( $product($product(X0,X1),$sum(X2,X3)) = $sum($product(X0,$product(X1,X2)),$product($product(X0,X1),X3)) ),
inference(superposition,[],[f24,f21]) ).
tff(f802,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X1,X0),$product(X0,X2)) ),
inference(superposition,[],[f24,f20]) ).
tff(f801,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X1,X0),$product(X0,X2)) ),
inference(superposition,[],[f24,f20]) ).
tff(f799,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f24,f22]) ).
tff(f798,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f678,f9]) ).
tff(f797,plain,
! [X0: $int] : $less(X0,$sum(X0,3)),
inference(superposition,[],[f678,f9]) ).
tff(f792,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(3,X1)) ),
inference(resolution,[],[f678,f15]) ).
tff(f778,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,2)),$sum(X0,X1)),
inference(superposition,[],[f676,f10]) ).
tff(f779,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f769]) ).
tff(f769,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),2)),
inference(resolution,[],[f676,f18]) ).
tff(f780,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f768]) ).
tff(f768,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),2),X0),
inference(resolution,[],[f676,f138]) ).
tff(f781,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f767]) ).
tff(f767,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),2)),
inference(resolution,[],[f676,f102]) ).
tff(f761,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,2))),
inference(superposition,[],[f660,f10]) ).
tff(f755,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2)) ),
inference(resolution,[],[f660,f15]) ).
tff(f677,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f507,f9]) ).
tff(f676,plain,
! [X0: $int] : ~ $less($sum(X0,2),X0),
inference(superposition,[],[f507,f9]) ).
tff(f678,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f668]) ).
tff(f668,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(1,X0))),
inference(resolution,[],[f507,f102]) ).
tff(f679,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f667]) ).
tff(f667,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f507,f18]) ).
tff(f680,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f666]) ).
tff(f666,plain,
! [X0: $int] : ~ $less($sum(2,$sum(X0,1)),X0),
inference(resolution,[],[f507,f138]) ).
tff(f661,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f505,f9]) ).
tff(f660,plain,
! [X0: $int] : $less(X0,$sum(X0,2)),
inference(superposition,[],[f505,f9]) ).
tff(f655,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(2,X1)) ),
inference(resolution,[],[f505,f15]) ).
tff(f646,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f636]) ).
tff(f636,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(1,X0))),
inference(resolution,[],[f502,f102]) ).
tff(f647,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f635]) ).
tff(f635,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(X0,1))),
inference(resolution,[],[f502,f18]) ).
tff(f648,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f634]) ).
tff(f634,plain,
! [X0: $int] : ~ $less($sum(1,$sum(X0,1)),X0),
inference(resolution,[],[f502,f138]) ).
tff(f609,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f20,f21]) ).
tff(f608,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f20,f21]) ).
tff(f605,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f21,f20]) ).
tff(f604,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f21,f20]) ).
tff(f599,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X1,X0),X2) ),
inference(superposition,[],[f21,f20]) ).
tff(f598,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X1,X0),X2) ),
inference(superposition,[],[f21,f20]) ).
tff(f539,plain,
! [X0: $int,X1: $int] : ~ $less($sum(X0,$sum(X1,1)),$sum(X0,X1)),
inference(superposition,[],[f477,f10]) ).
tff(f533,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f138,f10]) ).
tff(f532,plain,
! [X0: $int,X1: $int] : $less($sum(X0,X1),$sum(X0,$sum(X1,1))),
inference(superposition,[],[f101,f10]) ).
tff(f531,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,$sum(X0,$sum(X1,1)))
| ~ $less($sum(X0,X1),X2) ),
inference(superposition,[],[f26,f10]) ).
tff(f530,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,$sum(X0,$sum(X1,1)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f18,f10]) ).
tff(f529,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f13,f10]) ).
tff(f527,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f9,f10]) ).
tff(f526,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f9,f10]) ).
tff(f525,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f17,f10]) ).
tff(f524,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f17,f10]) ).
tff(f523,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f10,f9]) ).
tff(f522,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f10,f9]) ).
tff(f521,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f10,f13]) ).
tff(f518,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f10,f12]) ).
tff(f540,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f517]) ).
tff(f517,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f10,f77]) ).
tff(f516,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f10,f9]) ).
tff(f515,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f10,f9]) ).
tff(f503,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f477,f9]) ).
tff(f502,plain,
! [X0: $int] : ~ $less($sum(1,X0),X0),
inference(superposition,[],[f477,f9]) ).
tff(f505,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f496]) ).
tff(f496,plain,
! [X0: $int] : $less(X0,$sum($sum(1,X0),1)),
inference(resolution,[],[f477,f102]) ).
tff(f506,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f495]) ).
tff(f495,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f477,f18]) ).
tff(f507,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f494]) ).
tff(f494,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),1),X0),
inference(resolution,[],[f477,f138]) ).
tff(f488,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,-1) ),
inference(evaluation,[],[f487]) ).
tff(f487,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,$uminus(1)) ),
inference(superposition,[],[f138,f77]) ).
tff(f486,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f138,f9]) ).
tff(f485,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f138,f9]) ).
tff(f484,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less($sum(X0,1),0) ),
inference(resolution,[],[f138,f122]) ).
tff(f483,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less($sum(X0,1),1) ),
inference(resolution,[],[f138,f313]) ).
tff(f482,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1)) ),
inference(resolution,[],[f138,f15]) ).
tff(f477,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f138,f14]) ).
tff(f476,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less(1,X0) ),
inference(resolution,[],[f138,f119]) ).
tff(f475,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f138,f26]) ).
tff(f347,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),1)
| $less(X0,0) ),
inference(resolution,[],[f313,f102]) ).
tff(f344,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),1)
| $less(X0,0) ),
inference(resolution,[],[f313,f18]) ).
tff(f341,plain,
! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,0)
| ( 0 = X0 ) ),
inference(resolution,[],[f313,f16]) ).
tff(f340,plain,
! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,0)
| ( 0 = X0 ) ),
inference(resolution,[],[f313,f16]) ).
tff(f335,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f17,f12]) ).
tff(f334,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,X0),0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f17,f77]) ).
tff(f333,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f17,f9]) ).
tff(f332,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f17,f9]) ).
tff(f331,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f17,f13]) ).
tff(f329,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f17,f12]) ).
tff(f328,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f17,f77]) ).
tff(f327,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f17,f9]) ).
tff(f326,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f17,f9]) ).
tff(f325,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f17,f13]) ).
tff(f323,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f17,f15]) ).
tff(f319,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,1)
| ~ $less(X1,$sum(X0,X1)) ),
inference(resolution,[],[f17,f119]) ).
tff(f313,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,1) ),
inference(superposition,[],[f119,f11]) ).
tff(f312,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less($sum(1,X0),0) ),
inference(resolution,[],[f119,f105]) ).
tff(f308,plain,
! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(1,X0),1) ),
inference(resolution,[],[f119,f131]) ).
tff(f307,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 ) ),
inference(resolution,[],[f119,f16]) ).
tff(f306,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(1,X0),X1)
| ( $sum(1,X0) = X1 ) ),
inference(resolution,[],[f119,f16]) ).
tff(f257,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f9,f12]) ).
tff(f256,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f9,f12]) ).
tff(f253,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f12,f9]) ).
tff(f252,plain,
! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f12,f9]) ).
tff(f249,plain,
! [X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f12,f19]) ).
tff(f248,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f12,f19]) ).
tff(f201,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f16,f122]) ).
tff(f197,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f16,f15]) ).
tff(f195,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f16,f26]) ).
tff(f193,plain,
! [X0: $int] :
( $less(X0,-1)
| ( -1 = X0 )
| ~ $less(X0,0) ),
inference(resolution,[],[f16,f122]) ).
tff(f189,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f16,f15]) ).
tff(f187,plain,
! [X0: $int,X1: $int] :
( $less($sum(X0,1),X1)
| ( $sum(X0,1) = X1 )
| ~ $less(X0,X1) ),
inference(resolution,[],[f16,f26]) ).
tff(f173,plain,
! [X0: $int,X1: $int] :
( $less(X0,1)
| ~ $less(X1,0)
| $less(X1,X0) ),
inference(resolution,[],[f131,f15]) ).
tff(f172,plain,
! [X0: $int] :
( $less($sum(X0,1),1)
| ~ $less(X0,0) ),
inference(resolution,[],[f131,f26]) ).
tff(f169,plain,
! [X0: $int,X1: $int] :
( $less(0,X0)
| ~ $less(X1,X0)
| $less(X1,1) ),
inference(resolution,[],[f131,f15]) ).
tff(f142,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,-1)
| $less(X0,X1)
| $less(X1,0) ),
inference(resolution,[],[f15,f105]) ).
tff(f141,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,0)
| $less(-1,X1) ),
inference(resolution,[],[f15,f105]) ).
tff(f140,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X2))
| $less(X2,X1) ),
inference(resolution,[],[f15,f102]) ).
tff(f139,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(1,X1)) ),
inference(resolution,[],[f15,f106]) ).
tff(f138,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f15,f101]) ).
tff(f137,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ),
inference(resolution,[],[f15,f18]) ).
tff(f131,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f102,f11]) ).
tff(f130,plain,
! [X0: $int] :
( $less(X0,-1)
| ~ $less($sum(1,X0),0) ),
inference(resolution,[],[f102,f122]) ).
tff(f124,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),0)
| $less(X0,-1) ),
inference(resolution,[],[f122,f18]) ).
tff(f122,plain,
! [X0: $int] :
( ~ $less(-1,X0)
| ~ $less(X0,0) ),
inference(evaluation,[],[f121]) ).
tff(f121,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f26,f77]) ).
tff(f120,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f26,f9]) ).
tff(f119,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f26,f9]) ).
tff(f118,plain,
! [X0: $int] :
( ~ $less(X0,-1)
| $less($sum(X0,1),0) ),
inference(resolution,[],[f26,f105]) ).
tff(f107,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f101,f9]) ).
tff(f105,plain,
! [X0: $int] :
( $less(X0,0)
| $less(-1,X0) ),
inference(evaluation,[],[f104]) ).
tff(f104,plain,
! [X0: $int] :
( $less(X0,0)
| $less($uminus(1),X0) ),
inference(superposition,[],[f18,f77]) ).
tff(f103,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f18,f9]) ).
tff(f102,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f18,f9]) ).
tff(f96,plain,
! [X0: $int] : ( 0 = $product(0,X0) ),
inference(superposition,[],[f23,f20]) ).
tff(f94,plain,
! [X0: $int] : ( 0 = $product(0,X0) ),
inference(superposition,[],[f23,f20]) ).
tff(f92,plain,
! [X0: $int] : ( 0 = $product(0,X0) ),
inference(superposition,[],[f20,f23]) ).
tff(f90,plain,
! [X0: $int] : ( 0 = $product(0,X0) ),
inference(superposition,[],[f20,f23]) ).
tff(f77,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f13,f19]) ).
tff(f54,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f59,plain,
! [X2: $int,X1: collection] : in(X2,add(X2,X1)),
inference(equality_resolution,[],[f55]) ).
tff(f55,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ( X0 != X2 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f56,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f51,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X9: collection,X10: $int] :
( ( ( X8 != X10 )
& in(X8,X9) )
<=> in(X8,remove(X10,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f52,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f58,plain,
! [X2: $int,X1: collection] : ~ in(X2,remove(X2,X1)),
inference(equality_resolution,[],[f53]) ).
tff(f53,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( X0 != X2 )
| ~ in(X0,remove(X2,X1)) ),
inference(cnf_transformation,[],[f40]) ).
tff(f50,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f49,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: $int,X4: collection] : ~ in(X3,remove(X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f48,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f46,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f38]) ).
tff(f47,plain,
~ $less(2,sK2),
inference(cnf_transformation,[],[f38]) ).
tff(f11,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_147,[]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f17,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_153,[]) ).
tff(f19,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_156,[]) ).
tff(f20,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f21,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f22,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f23,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_157,[]) ).
tff(f24,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_158,[]) ).
tff(f57,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f25]) ).
tff(f25,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_159,[]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_169,[]) ).
tff(f874,plain,
( $less(0,$sum(3,sK3(sK2)))
| ( 0 = $sum(3,sK3(sK2)) )
| spl4_27 ),
inference(resolution,[],[f854,f16]) ).
tff(f854,plain,
( ~ $less($sum(3,sK3(sK2)),0)
| spl4_27 ),
inference(avatar_component_clause,[],[f852]) ).
tff(f908,plain,
( spl4_32
| spl4_27 ),
inference(avatar_split_clause,[],[f873,f852,f905]) ).
tff(f905,plain,
( spl4_32
<=> $less(-1,$sum(3,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
tff(f873,plain,
( $less(-1,$sum(3,sK3(sK2)))
| spl4_27 ),
inference(resolution,[],[f854,f105]) ).
tff(f892,plain,
( spl4_31
| spl4_26 ),
inference(avatar_split_clause,[],[f870,f847,f889]) ).
tff(f882,plain,
( ~ spl4_30
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f836,f154,f879]) ).
tff(f879,plain,
( spl4_30
<=> $less($sum(3,sK3(sK2)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
tff(f154,plain,
( spl4_5
<=> $less(-1,sK3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f836,plain,
( ~ $less($sum(3,sK3(sK2)),-1)
| ~ spl4_5 ),
inference(resolution,[],[f680,f159]) ).
tff(f159,plain,
( ! [X0: $int] :
( $less(X0,sK3(sK2))
| ~ $less(X0,-1) )
| ~ spl4_5 ),
inference(resolution,[],[f156,f15]) ).
tff(f156,plain,
( $less(-1,sK3(sK2))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f154]) ).
tff(f864,plain,
( spl4_28
| spl4_29
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f845,f208,f861,f857]) ).
tff(f857,plain,
( spl4_28
<=> ( 5 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
tff(f861,plain,
( spl4_29
<=> $less(sK2,5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
tff(f845,plain,
( $less(sK2,5)
| ( 5 = sK2 )
| ~ spl4_8 ),
inference(evaluation,[],[f829]) ).
tff(f829,plain,
( $less(sK2,$sum(3,2))
| ( sK2 = $sum(3,2) )
| ~ spl4_8 ),
inference(resolution,[],[f680,f214]) ).
tff(f214,plain,
( ! [X0: $int] :
( $less(sK2,X0)
| $less(X0,2)
| ( sK2 = X0 ) )
| ~ spl4_8 ),
inference(resolution,[],[f213,f16]) ).
tff(f855,plain,
( ~ spl4_27
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f837,f73,f852]) ).
tff(f837,plain,
( ~ $less($sum(3,sK3(sK2)),0)
| ~ spl4_3 ),
inference(resolution,[],[f680,f136]) ).
tff(f136,plain,
( ! [X0: $int] :
( $less(X0,sK3(sK2))
| ~ $less(X0,0) )
| ~ spl4_3 ),
inference(resolution,[],[f15,f75]) ).
tff(f850,plain,
( ~ spl4_26
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f835,f364,f847]) ).
tff(f364,plain,
( spl4_11
<=> $less(1,sK3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
tff(f835,plain,
( ~ $less($sum(3,sK3(sK2)),1)
| ~ spl4_11 ),
inference(resolution,[],[f680,f370]) ).
tff(f370,plain,
( ! [X0: $int] :
( $less(X0,sK3(sK2))
| ~ $less(X0,1) )
| ~ spl4_11 ),
inference(resolution,[],[f366,f15]) ).
tff(f366,plain,
( $less(1,sK3(sK2))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f364]) ).
tff(f739,plain,
( spl4_25
| spl4_22 ),
inference(avatar_split_clause,[],[f721,f707,f736]) ).
tff(f736,plain,
( spl4_25
<=> $less(0,$sum(2,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
tff(f707,plain,
( spl4_22
<=> $less($sum(2,sK3(sK2)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
tff(f721,plain,
( $less(0,$sum(2,sK3(sK2)))
| spl4_22 ),
inference(resolution,[],[f709,f131]) ).
tff(f709,plain,
( ~ $less($sum(2,sK3(sK2)),1)
| spl4_22 ),
inference(avatar_component_clause,[],[f707]) ).
tff(f734,plain,
( ~ spl4_24
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f672,f154,f731]) ).
tff(f731,plain,
( spl4_24
<=> $less($sum(2,sK3(sK2)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
tff(f672,plain,
( ~ $less($sum(2,sK3(sK2)),-1)
| ~ spl4_5 ),
inference(resolution,[],[f507,f159]) ).
tff(f720,plain,
( spl4_23
| spl4_19 ),
inference(avatar_split_clause,[],[f703,f683,f717]) ).
tff(f717,plain,
( spl4_23
<=> $less(-1,$sum(2,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
tff(f683,plain,
( spl4_19
<=> $less($sum(2,sK3(sK2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
tff(f703,plain,
( $less(-1,$sum(2,sK3(sK2)))
| spl4_19 ),
inference(resolution,[],[f685,f105]) ).
tff(f685,plain,
( ~ $less($sum(2,sK3(sK2)),0)
| spl4_19 ),
inference(avatar_component_clause,[],[f683]) ).
tff(f710,plain,
( ~ spl4_22
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f671,f364,f707]) ).
tff(f671,plain,
( ~ $less($sum(2,sK3(sK2)),1)
| ~ spl4_11 ),
inference(resolution,[],[f507,f370]) ).
tff(f695,plain,
( spl4_20
| spl4_21
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f681,f208,f692,f688]) ).
tff(f688,plain,
( spl4_20
<=> ( sK2 = 4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
tff(f681,plain,
( $less(sK2,4)
| ( sK2 = 4 )
| ~ spl4_8 ),
inference(evaluation,[],[f665]) ).
tff(f665,plain,
( $less(sK2,$sum(2,2))
| ( sK2 = $sum(2,2) )
| ~ spl4_8 ),
inference(resolution,[],[f507,f214]) ).
tff(f686,plain,
( ~ spl4_19
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f673,f73,f683]) ).
tff(f673,plain,
( ~ $less($sum(2,sK3(sK2)),0)
| ~ spl4_3 ),
inference(resolution,[],[f507,f136]) ).
tff(f620,plain,
( spl4_18
| spl4_16 ),
inference(avatar_split_clause,[],[f588,f584,f617]) ).
tff(f617,plain,
( spl4_18
<=> $less(0,$sum(1,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
tff(f584,plain,
( spl4_16
<=> $less($sum(1,sK3(sK2)),1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
tff(f588,plain,
( $less(0,$sum(1,sK3(sK2)))
| spl4_16 ),
inference(resolution,[],[f586,f131]) ).
tff(f586,plain,
( ~ $less($sum(1,sK3(sK2)),1)
| spl4_16 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f595,plain,
( ~ spl4_17
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f511,f154,f592]) ).
tff(f592,plain,
( spl4_17
<=> $less($sum(1,sK3(sK2)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
tff(f511,plain,
( ~ $less($sum(1,sK3(sK2)),-1)
| ~ spl4_5 ),
inference(forward_demodulation,[],[f500,f9]) ).
tff(f500,plain,
( ~ $less($sum(sK3(sK2),1),-1)
| ~ spl4_5 ),
inference(resolution,[],[f477,f159]) ).
tff(f587,plain,
( ~ spl4_16
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f510,f364,f584]) ).
tff(f510,plain,
( ~ $less($sum(1,sK3(sK2)),1)
| ~ spl4_11 ),
inference(forward_demodulation,[],[f499,f9]) ).
tff(f499,plain,
( ~ $less($sum(sK3(sK2),1),1)
| ~ spl4_11 ),
inference(resolution,[],[f477,f370]) ).
tff(f575,plain,
( spl4_15
| spl4_14 ),
inference(avatar_split_clause,[],[f563,f559,f572]) ).
tff(f572,plain,
( spl4_15
<=> $less(-1,$sum(1,sK3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
tff(f559,plain,
( spl4_14
<=> $less($sum(1,sK3(sK2)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
tff(f563,plain,
( $less(-1,$sum(1,sK3(sK2)))
| spl4_14 ),
inference(resolution,[],[f561,f105]) ).
tff(f561,plain,
( ~ $less($sum(1,sK3(sK2)),0)
| spl4_14 ),
inference(avatar_component_clause,[],[f559]) ).
tff(f562,plain,
( ~ spl4_14
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f512,f73,f559]) ).
tff(f512,plain,
( ~ $less($sum(1,sK3(sK2)),0)
| ~ spl4_3 ),
inference(forward_demodulation,[],[f501,f9]) ).
tff(f501,plain,
( ~ $less($sum(sK3(sK2),1),0)
| ~ spl4_3 ),
inference(resolution,[],[f477,f136]) ).
tff(f552,plain,
( spl4_12
| spl4_13
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f508,f208,f549,f545]) ).
tff(f545,plain,
( spl4_12
<=> ( sK2 = 3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
tff(f508,plain,
( $less(sK2,3)
| ( sK2 = 3 )
| ~ spl4_8 ),
inference(evaluation,[],[f493]) ).
tff(f493,plain,
( $less(sK2,$sum(2,1))
| ( sK2 = $sum(2,1) )
| ~ spl4_8 ),
inference(resolution,[],[f477,f214]) ).
tff(f367,plain,
( spl4_10
| spl4_11
| spl4_9 ),
inference(avatar_split_clause,[],[f357,f352,f364,f360]) ).
tff(f360,plain,
( spl4_10
<=> ( 1 = sK3(sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
tff(f357,plain,
( $less(1,sK3(sK2))
| ( 1 = sK3(sK2) )
| spl4_9 ),
inference(resolution,[],[f354,f16]) ).
tff(f355,plain,
( ~ spl4_9
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f338,f73,f352]) ).
tff(f338,plain,
( ~ $less(sK3(sK2),1)
| ~ spl4_3 ),
inference(resolution,[],[f313,f75]) ).
tff(f211,plain,
( spl4_7
| spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f190,f66,f208,f204]) ).
tff(f66,plain,
( spl4_2
<=> $less(2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f190,plain,
( $less(sK2,2)
| ( 2 = sK2 )
| spl4_2 ),
inference(resolution,[],[f16,f68]) ).
tff(f68,plain,
( ~ $less(2,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f167,plain,
( ~ spl4_6
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f160,f154,f164]) ).
tff(f164,plain,
( spl4_6
<=> $less(sK3(sK2),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f160,plain,
( ~ $less(sK3(sK2),-1)
| ~ spl4_5 ),
inference(resolution,[],[f159,f14]) ).
tff(f157,plain,
( spl4_5
| spl4_4 ),
inference(avatar_split_clause,[],[f152,f148,f154]) ).
tff(f148,plain,
( spl4_4
<=> $less(sK3(sK2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f152,plain,
( $less(-1,sK3(sK2))
| spl4_4 ),
inference(resolution,[],[f150,f105]) ).
tff(f150,plain,
( ~ $less(sK3(sK2),0)
| spl4_4 ),
inference(avatar_component_clause,[],[f148]) ).
tff(f151,plain,
( ~ spl4_4
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f143,f73,f148]) ).
tff(f143,plain,
( ~ $less(sK3(sK2),0)
| ~ spl4_3 ),
inference(resolution,[],[f136,f14]) ).
tff(f76,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f71,f61,f73]) ).
tff(f71,plain,
( $less(0,sK3(sK2))
| ~ spl4_1 ),
inference(resolution,[],[f70,f63]) ).
tff(f69,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f47,f66]) ).
tff(f64,plain,
spl4_1,
inference(avatar_split_clause,[],[f46,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : DAT029_1 : TPTP v8.2.0. Released v5.0.0.
% 0.08/0.13 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jun 22 06:53:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TF0_THM_EQU_ARI problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16722)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16720)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16724)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16725)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16723)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16719)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.43 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (16721)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.43 % (16719)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (16722)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (16722)Terminated due to inappropriate strategy.
% 0.21/0.43 % (16722)------------------------------
% 0.21/0.43 % (16722)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (16722)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (16722)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (16722)Memory used [KB]: 688
% 0.21/0.43 % (16722)Time elapsed: 0.003 s
% 0.21/0.43 % (16722)Instructions burned: 2 (million)
% 0.21/0.43 % (16719)Terminated due to inappropriate strategy.
% 0.21/0.43 % (16719)------------------------------
% 0.21/0.43 % (16719)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (16719)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (16719)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (16719)Memory used [KB]: 689
% 0.21/0.43 % (16719)Time elapsed: 0.003 s
% 0.21/0.43 % (16719)Instructions burned: 2 (million)
% 0.21/0.43 % (16721)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.43 % (16721)Terminated due to inappropriate strategy.
% 0.21/0.43 % (16721)------------------------------
% 0.21/0.43 % (16721)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (16721)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (16721)Termination reason: Inappropriate
% 0.21/0.43
% 0.21/0.43 % (16721)Memory used [KB]: 688
% 0.21/0.43 % (16721)Time elapsed: 0.002 s
% 0.21/0.43 % (16721)Instructions burned: 2 (million)
% 0.21/0.43 % (16722)------------------------------
% 0.21/0.43 % (16722)------------------------------
% 0.21/0.43 % (16719)------------------------------
% 0.21/0.43 % (16719)------------------------------
% 0.21/0.43 % (16721)------------------------------
% 0.21/0.43 % (16721)------------------------------
% 0.21/0.48 % (16725)Instruction limit reached!
% 0.21/0.48 % (16725)------------------------------
% 0.21/0.48 % (16725)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (16725)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (16725)Termination reason: Time limit
% 0.21/0.48 % (16725)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (16725)Memory used [KB]: 1400
% 0.21/0.48 % (16725)Time elapsed: 0.052 s
% 0.21/0.48 % (16725)Instructions burned: 118 (million)
% 0.21/0.48 % (16723)Instruction limit reached!
% 0.21/0.48 % (16723)------------------------------
% 0.21/0.48 % (16723)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (16723)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (16723)Termination reason: Time limit
% 0.21/0.48 % (16723)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (16723)Memory used [KB]: 1671
% 0.21/0.48 % (16723)Time elapsed: 0.053 s
% 0.21/0.48 % (16723)Instructions burned: 106 (million)
% 0.21/0.48 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (16727)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.21/0.48 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (16728)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.21/0.48 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (16726)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.50 % (16724)Instruction limit reached!
% 0.21/0.50 % (16724)------------------------------
% 0.21/0.50 % (16724)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (16724)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (16724)Termination reason: Time limit
% 0.21/0.50 % (16724)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (16724)Memory used [KB]: 1999
% 0.21/0.50 % (16724)Time elapsed: 0.079 s
% 0.21/0.50 % (16724)Instructions burned: 146 (million)
% 0.21/0.51 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (16729)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.21/0.51 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (16730)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2999ds/7859Mi)
% 0.21/0.51 % (16730)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.51 % (16730)Terminated due to inappropriate strategy.
% 0.21/0.51 % (16730)------------------------------
% 0.21/0.51 % (16730)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51 % (16730)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51 % (16730)Termination reason: Inappropriate
% 0.21/0.51
% 0.21/0.51 % (16730)Memory used [KB]: 688
% 0.21/0.51 % (16730)Time elapsed: 0.002 s
% 0.21/0.51 % (16730)Instructions burned: 2 (million)
% 0.21/0.51 % (16730)------------------------------
% 0.21/0.51 % (16730)------------------------------
% 0.21/0.53 % (16727)Instruction limit reached!
% 0.21/0.53 % (16727)------------------------------
% 0.21/0.53 % (16727)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (16727)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (16727)Termination reason: Time limit
% 0.21/0.53 % (16727)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (16727)Memory used [KB]: 1414
% 0.21/0.53 % (16727)Time elapsed: 0.050 s
% 0.21/0.53 % (16727)Instructions burned: 175 (million)
% 0.21/0.54 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (16731)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 0.21/0.55 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55 % (16732)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 0.21/0.57 % (16718)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57 % (16733)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 0.21/0.57 % (16733)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.57 % (16733)Terminated due to inappropriate strategy.
% 0.21/0.57 % (16733)------------------------------
% 0.21/0.57 % (16733)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57 % (16733)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57 % (16733)Termination reason: Inappropriate
% 0.21/0.57
% 0.21/0.57 % (16733)Memory used [KB]: 685
% 0.21/0.57 % (16733)Time elapsed: 0.002 s
% 0.21/0.57 % (16733)Instructions burned: 2 (million)
% 0.21/0.57 % (16733)------------------------------
% 0.21/0.57 % (16733)------------------------------
% 0.21/0.58 % (16728)Instruction limit reached!
% 0.21/0.58 % (16728)------------------------------
% 0.21/0.58 % (16728)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58 % (16728)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58 % (16728)Termination reason: Time limit
% 0.21/0.58 % (16728)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (16728)Memory used [KB]: 2940
% 0.21/0.58 % (16728)Time elapsed: 0.094 s
% 0.21/0.58 % (16728)Instructions burned: 271 (million)
% 1.71/0.60 % (16718)Running in auto input_syntax mode. Trying TPTP
% 1.71/0.60 % (16734)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2998ds/2892Mi)
% 1.71/0.60 % (16734)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.71/0.60 % (16734)Terminated due to inappropriate strategy.
% 1.71/0.60 % (16734)------------------------------
% 1.71/0.60 % (16734)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.71/0.60 % (16734)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.71/0.60 % (16734)Termination reason: Inappropriate
% 1.71/0.60
% 1.71/0.60 % (16734)Memory used [KB]: 687
% 1.71/0.60 % (16734)Time elapsed: 0.002 s
% 1.71/0.60 % (16734)Instructions burned: 2 (million)
% 1.71/0.60 % (16734)------------------------------
% 1.71/0.60 % (16734)------------------------------
% 1.71/0.61 % (16718)Running in auto input_syntax mode. Trying TPTP
% 1.71/0.61 % (16735)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2998ds/1693Mi)
% 1.84/0.62 % (16726)Instruction limit reached!
% 1.84/0.62 % (16726)------------------------------
% 1.84/0.62 % (16726)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.84/0.62 % (16726)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.84/0.62 % (16726)Termination reason: Time limit
% 1.84/0.62 % (16726)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (16726)Memory used [KB]: 3359
% 1.84/0.62 % (16726)Time elapsed: 0.139 s
% 1.84/0.62 % (16726)Instructions burned: 404 (million)
% 1.91/0.64 % (16718)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.64 % (16736)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2997ds/1735Mi)
% 1.91/0.66 % (16718)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.66 % (16737)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2997ds/131798Mi)
% 1.91/0.66 % (16737)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.91/0.66 % (16737)Terminated due to inappropriate strategy.
% 1.91/0.66 % (16737)------------------------------
% 1.91/0.66 % (16737)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.66 % (16737)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.66 % (16737)Termination reason: Inappropriate
% 1.91/0.66
% 1.91/0.66 % (16737)Memory used [KB]: 688
% 1.91/0.66 % (16737)Time elapsed: 0.002 s
% 1.91/0.66 % (16737)Instructions burned: 2 (million)
% 1.91/0.66 % (16737)------------------------------
% 1.91/0.66 % (16737)------------------------------
% 1.91/0.69 % (16718)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.69 % (16738)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2997ds/3451Mi)
% 1.91/0.69 % (16738)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.91/0.69 % (16738)Terminated due to inappropriate strategy.
% 1.91/0.69 % (16738)------------------------------
% 1.91/0.69 % (16738)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.69 % (16738)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.69 % (16738)Termination reason: Inappropriate
% 1.91/0.69
% 1.91/0.69 % (16738)Memory used [KB]: 685
% 1.91/0.69 % (16738)Time elapsed: 0.002 s
% 1.91/0.69 % (16738)Instructions burned: 2 (million)
% 1.91/0.69 % (16738)------------------------------
% 1.91/0.69 % (16738)------------------------------
% 2.41/0.73 % (16718)Running in auto input_syntax mode. Trying TPTP
% 2.41/0.73 % (16739)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2996ds/3978Mi)
% 2.75/0.82 % (16729)Instruction limit reached!
% 2.75/0.82 % (16729)------------------------------
% 2.75/0.82 % (16729)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.82 % (16729)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.82 % (16729)Termination reason: Time limit
% 2.75/0.82 % (16729)Termination phase: Saturation
% 2.75/0.82
% 2.75/0.82 % (16729)Memory used [KB]: 5820
% 2.75/0.82 % (16729)Time elapsed: 0.329 s
% 2.75/0.82 % (16729)Instructions burned: 903 (million)
% 2.75/0.85 % (16718)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.85 % (16740)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2995ds/33091Mi)
% 3.34/0.92 % (16732)Instruction limit reached!
% 3.34/0.92 % (16732)------------------------------
% 3.34/0.92 % (16732)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.34/0.92 % (16732)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.34/0.92 % (16732)Termination reason: Time limit
% 3.34/0.92 % (16732)Termination phase: Saturation
% 3.34/0.92
% 3.34/0.92 % (16732)Memory used [KB]: 12842
% 3.34/0.92 % (16732)Time elapsed: 0.378 s
% 3.34/0.92 % (16732)Instructions burned: 1188 (million)
% 3.39/0.96 % (16718)Running in auto input_syntax mode. Trying TPTP
% 3.39/0.96 % (16741)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2994ds/9564Mi)
% 3.84/1.15 % (16736)Instruction limit reached!
% 3.84/1.15 % (16736)------------------------------
% 3.84/1.15 % (16736)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.84/1.15 % (16736)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.84/1.15 % (16736)Termination reason: Time limit
% 3.84/1.15 % (16736)Termination phase: Saturation
% 3.84/1.15
% 3.84/1.15 % (16736)Memory used [KB]: 12286
% 3.84/1.15 % (16736)Time elapsed: 0.536 s
% 3.84/1.15 % (16736)Instructions burned: 1738 (million)
% 3.84/1.16 % (16735)Instruction limit reached!
% 3.84/1.16 % (16735)------------------------------
% 3.84/1.16 % (16735)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.84/1.16 % (16735)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.84/1.16 % (16735)Termination reason: Time limit
% 3.84/1.16 % (16735)Termination phase: Saturation
% 3.84/1.16
% 3.84/1.16 % (16735)Memory used [KB]: 8223
% 3.84/1.16 % (16735)Time elapsed: 0.574 s
% 3.84/1.16 % (16735)Instructions burned: 1695 (million)
% 5.77/1.18 % (16718)Running in auto input_syntax mode. Trying TPTP
% 5.77/1.18 % (16742)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2992ds/50409Mi)
% 5.77/1.18 % (16742)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.77/1.18 % (16742)Terminated due to inappropriate strategy.
% 5.77/1.18 % (16742)------------------------------
% 5.77/1.18 % (16742)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.77/1.18 % (16742)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.77/1.18 % (16742)Termination reason: Inappropriate
% 5.77/1.18
% 5.77/1.18 % (16742)Memory used [KB]: 687
% 5.77/1.18 % (16742)Time elapsed: 0.001 s
% 5.77/1.18 % (16742)Instructions burned: 2 (million)
% 5.77/1.18 % (16742)------------------------------
% 5.77/1.18 % (16742)------------------------------
% 5.90/1.21 % (16718)Running in auto input_syntax mode. Trying TPTP
% 5.90/1.21 % (16744)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2991ds/11327Mi)
% 5.90/1.22 % (16718)Running in auto input_syntax mode. Trying TPTP
% 5.90/1.22 % (16743)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2992ds/10852Mi)
% 6.09/1.25 % (16731)Instruction limit reached!
% 6.09/1.25 % (16731)------------------------------
% 6.09/1.25 % (16731)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.09/1.25 % (16731)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.09/1.25 % (16731)Termination reason: Time limit
% 6.09/1.25 % (16731)Termination phase: Saturation
% 6.09/1.25
% 6.09/1.25 % (16731)Memory used [KB]: 12017
% 6.09/1.25 % (16731)Time elapsed: 0.713 s
% 6.09/1.25 % (16731)Instructions burned: 2145 (million)
% 6.09/1.28 % (16718)Running in auto input_syntax mode. Trying TPTP
% 6.09/1.28 % (16745)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2991ds/17908Mi)
% 6.09/1.28 % (16745)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.09/1.28 % (16745)Terminated due to inappropriate strategy.
% 6.09/1.28 % (16745)------------------------------
% 6.09/1.28 % (16745)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.09/1.28 % (16745)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.09/1.28 % (16745)Termination reason: Inappropriate
% 6.09/1.28
% 6.09/1.28 % (16745)Memory used [KB]: 688
% 6.09/1.28 % (16745)Time elapsed: 0.001 s
% 6.09/1.28 % (16745)Instructions burned: 2 (million)
% 6.09/1.28 % (16745)------------------------------
% 6.09/1.28 % (16745)------------------------------
% 6.52/1.31 % (16718)Running in auto input_syntax mode. Trying TPTP
% 6.52/1.31 % (16746)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2990ds/22636Mi)
% 10.30/1.85 % (16739)Instruction limit reached!
% 10.30/1.85 % (16739)------------------------------
% 10.30/1.85 % (16739)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.30/1.85 % (16739)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.30/1.85 % (16739)Termination reason: Time limit
% 10.30/1.85 % (16739)Termination phase: Saturation
% 10.30/1.85
% 10.30/1.85 % (16739)Memory used [KB]: 18073
% 10.30/1.85 % (16739)Time elapsed: 1.129 s
% 10.30/1.85 % (16739)Instructions burned: 3979 (million)
% 10.30/1.89 % (16718)Running in auto input_syntax mode. Trying TPTP
% 10.30/1.89 % (16747)fmb+10_1:1_i=30223_0 on theBenchmark for (2985ds/30223Mi)
% 10.30/1.89 % (16747)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.30/1.89 % (16747)Terminated due to inappropriate strategy.
% 10.30/1.89 % (16747)------------------------------
% 10.30/1.89 % (16747)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.30/1.89 % (16747)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.30/1.89 % (16747)Termination reason: Inappropriate
% 10.30/1.89
% 10.30/1.89 % (16747)Memory used [KB]: 687
% 10.30/1.89 % (16747)Time elapsed: 0.002 s
% 10.30/1.89 % (16747)Instructions burned: 2 (million)
% 10.30/1.89 % (16747)------------------------------
% 10.30/1.89 % (16747)------------------------------
% 10.91/1.92 % (16718)Running in auto input_syntax mode. Trying TPTP
% 10.91/1.92 % (16748)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2984ds/37350Mi)
% 20.68/3.38 % (16741)Instruction limit reached!
% 20.68/3.38 % (16741)------------------------------
% 20.68/3.38 % (16741)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.68/3.38 % (16741)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.68/3.38 % (16741)Termination reason: Time limit
% 20.68/3.38 % (16741)Termination phase: Saturation
% 20.68/3.38
% 20.68/3.38 % (16741)Memory used [KB]: 32235
% 20.68/3.38 % (16741)Time elapsed: 2.425 s
% 20.68/3.38 % (16741)Instructions burned: 9564 (million)
% 21.34/3.41 % (16718)Running in auto input_syntax mode. Trying TPTP
% 21.34/3.41 % (16749)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:i=80557_0 on theBenchmark for (2969ds/80557Mi)
% 21.90/3.59 % (16743)Instruction limit reached!
% 21.90/3.59 % (16743)------------------------------
% 21.90/3.59 % (16743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.90/3.59 % (16743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.90/3.59 % (16743)Termination reason: Time limit
% 21.90/3.59 % (16743)Termination phase: Saturation
% 21.90/3.59
% 21.90/3.59 % (16743)Memory used [KB]: 34656
% 21.90/3.59 % (16743)Time elapsed: 2.370 s
% 21.90/3.59 % (16743)Instructions burned: 10855 (million)
% 22.86/3.63 % (16718)Running in auto input_syntax mode. Trying TPTP
% 22.86/3.63 % (16750)fmb+10_1:1_sil=128000:fmbss=21:newcnf=on:i=44200:gsp=on_0 on theBenchmark for (2967ds/44200Mi)
% 22.86/3.63 % (16750)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.86/3.63 % (16750)Terminated due to inappropriate strategy.
% 22.86/3.63 % (16750)------------------------------
% 22.86/3.63 % (16750)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.86/3.63 % (16750)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.86/3.63 % (16750)Termination reason: Inappropriate
% 22.86/3.63
% 22.86/3.63 % (16750)Memory used [KB]: 685
% 22.86/3.63 % (16750)Time elapsed: 0.002 s
% 22.86/3.63 % (16750)Instructions burned: 2 (million)
% 22.86/3.63 % (16750)------------------------------
% 22.86/3.63 % (16750)------------------------------
% 22.86/3.66 % (16718)Running in auto input_syntax mode. Trying TPTP
% 22.86/3.66 % (16751)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity:i=55207_0 on theBenchmark for (2967ds/55207Mi)
% 23.41/3.73 % (16751)First to succeed.
% 23.41/3.73 % (16751)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16718"
% 23.41/3.73 % (16718)Running in auto input_syntax mode. Trying TPTP
% 23.41/3.73 % (16751)Refutation found. Thanks to Tanya!
% 23.41/3.73 % SZS status Theorem for theBenchmark
% 23.41/3.73 % SZS output start Proof for theBenchmark
% See solution above
% 23.41/3.73 % (16751)------------------------------
% 23.41/3.73 % (16751)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.41/3.73 % (16751)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.41/3.73 % (16751)Termination reason: Refutation
% 23.41/3.73
% 23.41/3.73 % (16751)Memory used [KB]: 1219
% 23.41/3.73 % (16751)Time elapsed: 0.072 s
% 23.41/3.73 % (16751)Instructions burned: 217 (million)
% 23.41/3.73 % (16751)------------------------------
% 23.41/3.73 % (16751)------------------------------
% 23.41/3.73 % (16718)Success in time 3.36 s
%------------------------------------------------------------------------------