TSTP Solution File: NUM916_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM916_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:38:26 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 47
% Syntax : Number of formulae : 118 ( 27 unt; 2 typ; 0 def)
% Number of atoms : 280 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 306 ( 142 ~; 132 |; 0 &)
% ( 31 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 410 ( 74 atm; 144 fun; 28 num; 164 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 34 ( 31 usr; 32 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 164 ( 158 !; 6 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f452,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f30,f34,f38,f42,f48,f52,f56,f66,f70,f82,f86,f114,f137,f147,f156,f160,f164,f176,f207,f211,f230,f234,f238,f242,f247,f305,f309,f313,f449,f451]) ).
tff(f451,plain,
~ spl2_27,
inference(avatar_contradiction_clause,[],[f450]) ).
tff(f450,plain,
( $false
| ~ spl2_27 ),
inference(equality_resolution,[],[f246]) ).
tff(f246,plain,
( ! [X0: $int] : ( sK1 != X0 )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f245,plain,
( spl2_27
<=> ! [X0: $int] : ( sK1 != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
tff(f449,plain,
( spl2_31
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f74,f68,f64,f447]) ).
tff(f447,plain,
( spl2_31
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| ~ $less(X2,X0)
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
tff(f64,plain,
( spl2_10
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f68,plain,
( spl2_11
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f74,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| ~ $less(X2,X0)
| $less(X2,X1) )
| ~ spl2_10
| ~ spl2_11 ),
inference(resolution,[],[f69,f65]) ).
tff(f65,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f69,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f313,plain,
( spl2_30
| ~ spl2_6
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f121,f112,f40,f311]) ).
tff(f311,plain,
( spl2_30
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
tff(f40,plain,
( spl2_6
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f112,plain,
( spl2_14
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
tff(f121,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) )
| ~ spl2_6
| ~ spl2_14 ),
inference(superposition,[],[f113,f41]) ).
tff(f41,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f113,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f309,plain,
( spl2_29
| ~ spl2_6
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f116,f112,f40,f307]) ).
tff(f307,plain,
( spl2_29
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
tff(f116,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) )
| ~ spl2_6
| ~ spl2_14 ),
inference(superposition,[],[f113,f41]) ).
tff(f305,plain,
( spl2_28
| ~ spl2_7
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f71,f64,f46,f303]) ).
tff(f303,plain,
( spl2_28
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
tff(f46,plain,
( spl2_7
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f71,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1))
| $less(X2,X1) )
| ~ spl2_7
| ~ spl2_10 ),
inference(resolution,[],[f65,f47]) ).
tff(f47,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f247,plain,
( spl2_27
| ~ spl2_9
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f200,f162,f54,f245]) ).
tff(f54,plain,
( spl2_9
<=> ! [X0: $int] : ( sK1 != $sum(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f162,plain,
( spl2_19
<=> ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
tff(f200,plain,
( ! [X0: $int] : ( sK1 != X0 )
| ~ spl2_9
| ~ spl2_19 ),
inference(superposition,[],[f55,f163]) ).
tff(f163,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f55,plain,
( ! [X0: $int] : ( sK1 != $sum(sK0,X0) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f242,plain,
( spl2_26
| ~ spl2_5
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f120,f112,f36,f240]) ).
tff(f240,plain,
( spl2_26
<=> ! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
tff(f36,plain,
( spl2_5
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f120,plain,
( ! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) )
| ~ spl2_5
| ~ spl2_14 ),
inference(superposition,[],[f113,f37]) ).
tff(f37,plain,
( ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f238,plain,
( spl2_25
| ~ spl2_6
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f105,f84,f40,f236]) ).
tff(f236,plain,
( spl2_25
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
tff(f84,plain,
( spl2_13
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
tff(f105,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) )
| ~ spl2_6
| ~ spl2_13 ),
inference(superposition,[],[f85,f41]) ).
tff(f85,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f84]) ).
tff(f234,plain,
( spl2_24
| ~ spl2_6
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f101,f84,f40,f232]) ).
tff(f232,plain,
( spl2_24
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
tff(f101,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) )
| ~ spl2_6
| ~ spl2_13 ),
inference(superposition,[],[f85,f41]) ).
tff(f230,plain,
( spl2_23
| ~ spl2_6
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f88,f80,f40,f228]) ).
tff(f228,plain,
( spl2_23
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
tff(f80,plain,
( spl2_12
<=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f88,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) )
| ~ spl2_6
| ~ spl2_12 ),
inference(superposition,[],[f81,f41]) ).
tff(f81,plain,
( ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f80]) ).
tff(f211,plain,
( spl2_22
| ~ spl2_5
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f104,f84,f36,f209]) ).
tff(f209,plain,
( spl2_22
<=> ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
tff(f104,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) )
| ~ spl2_5
| ~ spl2_13 ),
inference(superposition,[],[f85,f37]) ).
tff(f207,plain,
( spl2_21
| ~ spl2_5
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f100,f84,f36,f205]) ).
tff(f205,plain,
( spl2_21
<=> ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
tff(f100,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) )
| ~ spl2_5
| ~ spl2_13 ),
inference(superposition,[],[f85,f37]) ).
tff(f176,plain,
( ~ spl2_20
| ~ spl2_5
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f108,f54,f36,f173]) ).
tff(f173,plain,
( spl2_20
<=> ( 0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
tff(f108,plain,
( ( 0 != sK1 )
| ~ spl2_5
| ~ spl2_9 ),
inference(superposition,[],[f55,f37]) ).
tff(f164,plain,
( spl2_19
| ~ spl2_5
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f131,f112,f36,f162]) ).
tff(f131,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl2_5
| ~ spl2_14 ),
inference(evaluation,[],[f115]) ).
tff(f115,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = $sum(0,X1) )
| ~ spl2_5
| ~ spl2_14 ),
inference(superposition,[],[f113,f37]) ).
tff(f160,plain,
( spl2_18
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f61,f50,f40,f158]) ).
tff(f158,plain,
( spl2_18
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
tff(f50,plain,
( spl2_8
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f61,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) )
| ~ spl2_6
| ~ spl2_8 ),
inference(superposition,[],[f51,f41]) ).
tff(f51,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f156,plain,
( spl2_17
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f58,f46,f40,f154]) ).
tff(f154,plain,
( spl2_17
<=> ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
tff(f58,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) )
| ~ spl2_6
| ~ spl2_7 ),
inference(superposition,[],[f47,f41]) ).
tff(f147,plain,
( spl2_16
| ~ spl2_2
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f57,f46,f24,f145]) ).
tff(f145,plain,
( spl2_16
<=> ! [X0: $int] : $less(X0,$sum(X0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
tff(f24,plain,
( spl2_2
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f57,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl2_2
| ~ spl2_7 ),
inference(resolution,[],[f47,f25]) ).
tff(f25,plain,
( ! [X0: $int] : ~ $less(X0,X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f137,plain,
( spl2_15
| ~ spl2_1
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f130,f112,f20,f135]) ).
tff(f135,plain,
( spl2_15
<=> ! [X0: $int,X1: $int] : ( sK1 != $sum(X0,$sum(X1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
tff(f20,plain,
( spl2_1
<=> ! [X2: $int] : ( sK1 != $sum(X2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f130,plain,
( ! [X0: $int,X1: $int] : ( sK1 != $sum(X0,$sum(X1,sK0)) )
| ~ spl2_1
| ~ spl2_14 ),
inference(superposition,[],[f21,f113]) ).
tff(f21,plain,
( ! [X2: $int] : ( sK1 != $sum(X2,sK0) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f20]) ).
tff(f114,plain,
spl2_14,
inference(avatar_split_clause,[],[f4,f112]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f86,plain,
spl2_13,
inference(avatar_split_clause,[],[f11,f84]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f82,plain,
spl2_12,
inference(avatar_split_clause,[],[f6,f80]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f70,plain,
spl2_11,
inference(avatar_split_clause,[],[f10,f68]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f66,plain,
spl2_10,
inference(avatar_split_clause,[],[f9,f64]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f56,plain,
( spl2_9
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f43,f40,f20,f54]) ).
tff(f43,plain,
( ! [X0: $int] : ( sK1 != $sum(sK0,X0) )
| ~ spl2_1
| ~ spl2_6 ),
inference(superposition,[],[f21,f41]) ).
tff(f52,plain,
spl2_8,
inference(avatar_split_clause,[],[f14,f50]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f48,plain,
spl2_7,
inference(avatar_split_clause,[],[f12,f46]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f42,plain,
spl2_6,
inference(avatar_split_clause,[],[f3,f40]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f38,plain,
spl2_5,
inference(avatar_split_clause,[],[f7,f36]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f34,plain,
spl2_4,
inference(avatar_split_clause,[],[f13,f32]) ).
tff(f32,plain,
( spl2_4
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f30,plain,
spl2_3,
inference(avatar_split_clause,[],[f5,f28]) ).
tff(f28,plain,
( spl2_3
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f26,plain,
spl2_2,
inference(avatar_split_clause,[],[f8,f24]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f22,plain,
spl2_1,
inference(avatar_split_clause,[],[f18,f20]) ).
tff(f18,plain,
! [X2: $int] : ( sK1 != $sum(X2,sK0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X2: $int] : ( sK1 != $sum(X2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,X0) != X1 )
=> ! [X2: $int] : ( sK1 != $sum(X2,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,X0) != X1 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM916_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:41:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (26461)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26466)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_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (26464)WARNING: value z3 for option sas not known
% 0.14/0.38 % (26462)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (26465)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (26464)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_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (26467)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (26462)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (26462)Terminated due to inappropriate strategy.
% 0.14/0.38 % (26462)------------------------------
% 0.14/0.38 % (26462)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26462)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (26462)Memory used [KB]: 722
% 0.14/0.38 % (26462)Time elapsed: 0.002 s
% 0.14/0.38 % (26462)Instructions burned: 2 (million)
% 0.14/0.38 % (26462)------------------------------
% 0.14/0.38 % (26462)------------------------------
% 0.14/0.38 % (26468)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (26463)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (26465)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (26465)Terminated due to inappropriate strategy.
% 0.14/0.38 % (26465)------------------------------
% 0.14/0.38 % (26465)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26465)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (26465)Memory used [KB]: 722
% 0.14/0.38 % (26465)Time elapsed: 0.002 s
% 0.14/0.38 % (26465)Instructions burned: 2 (million)
% 0.14/0.38 % (26465)------------------------------
% 0.14/0.38 % (26465)------------------------------
% 0.14/0.38 % (26463)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (26463)Terminated due to inappropriate strategy.
% 0.14/0.38 % (26463)------------------------------
% 0.14/0.38 % (26463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26463)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (26463)Memory used [KB]: 722
% 0.14/0.38 % (26463)Time elapsed: 0.002 s
% 0.14/0.38 % (26463)Instructions burned: 2 (million)
% 0.14/0.38 % (26463)------------------------------
% 0.14/0.38 % (26463)------------------------------
% 0.14/0.38 % (26466)First to succeed.
% 0.14/0.38 % (26466)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26466)------------------------------
% 0.14/0.38 % (26466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26466)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26466)Memory used [KB]: 943
% 0.14/0.38 % (26466)Time elapsed: 0.012 s
% 0.14/0.38 % (26466)Instructions burned: 30 (million)
% 0.14/0.38 % (26466)------------------------------
% 0.14/0.38 % (26466)------------------------------
% 0.14/0.38 % (26461)Success in time 0.02 s
%------------------------------------------------------------------------------