TSTP Solution File: SWW653_2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW653_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.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 18:35:37 EDT 2024
% Result : Theorem 1.86s 0.66s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 94
% Syntax : Number of formulae : 476 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 1840 ( 263 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 2216 ( 852 ~;1116 |; 101 &)
% ( 81 <=>; 64 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 1722 ( 612 atm; 371 fun; 424 num; 315 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 77 ( 73 usr; 68 prp; 0-6 aty)
% Number of functors : 47 ( 41 usr; 24 con; 0-4 aty)
% Number of variables : 339 ( 327 !; 12 ?; 339 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
uf_pure1: $tType ).
tff(type_def_10,type,
uf1: $tType ).
tff(type_def_11,type,
graph1: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
uf_pure: ty ).
tff(func_def_16,type,
size1: uf_pure1 > $int ).
tff(func_def_17,type,
num1: uf_pure1 > $int ).
tff(func_def_19,type,
uf: ty ).
tff(func_def_20,type,
mk_uf1: uf_pure1 > uf1 ).
tff(func_def_21,type,
state1: uf1 > uf_pure1 ).
tff(func_def_22,type,
graph: ty ).
tff(func_def_25,type,
sK0: ( graph1 * $int * $int ) > $int ).
tff(func_def_26,type,
sK1: ( graph1 * $int * $int ) > $int ).
tff(func_def_27,type,
sK2: ( graph1 * $int * $int ) > $int ).
tff(func_def_28,type,
sK3: ( graph1 * $int * $int ) > graph1 ).
tff(func_def_29,type,
sK4: ( graph1 * $int * $int ) > graph1 ).
tff(func_def_30,type,
sK5: ( graph1 * $int * $int ) > $int ).
tff(func_def_31,type,
sK6: ( graph1 * $int * $int ) > $int ).
tff(func_def_32,type,
sK7: ( graph1 * $int * $int ) > $int ).
tff(func_def_33,type,
sK8: ( graph1 * $int * $int ) > graph1 ).
tff(func_def_34,type,
sK10: $int ).
tff(func_def_35,type,
sK11: graph1 ).
tff(func_def_36,type,
sK12: $int ).
tff(func_def_37,type,
sK13: uf_pure1 ).
tff(func_def_38,type,
sK14: $int ).
tff(func_def_39,type,
sK15: $int ).
tff(func_def_40,type,
sK16: ( $int * uf_pure1 ) > $int ).
tff(func_def_41,type,
sK17: ( $int * uf_pure1 * $int ) > $int ).
tff(func_def_42,type,
sF18: $int ).
tff(func_def_43,type,
sF19: $int ).
tff(func_def_44,type,
sF20: $int ).
tff(func_def_45,type,
sF21: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
repr1: ( uf_pure1 * $int * $int ) > $o ).
tff(pred_def_5,type,
same1: ( uf_pure1 * $int * $int ) > $o ).
tff(pred_def_6,type,
same_reprs1: ( uf_pure1 * uf_pure1 ) > $o ).
tff(pred_def_7,type,
path1: ( graph1 * $int * $int ) > $o ).
tff(pred_def_8,type,
sP9: ( graph1 * $int * $int * $int * $int * graph1 ) > $o ).
tff(f6248,plain,
$false,
inference(avatar_smt_refutation,[],[f178,f182,f186,f190,f194,f210,f221,f234,f239,f243,f248,f254,f260,f264,f269,f277,f281,f290,f294,f362,f370,f376,f449,f459,f703,f951,f1026,f1050,f1052,f1072,f1076,f1080,f1100,f1102,f1104,f1127,f1129,f1131,f1142,f1257,f1310,f1939,f2096,f2142,f2242,f3342,f3481,f3541,f4041,f4244,f4283,f4536,f4540,f4567,f4578,f4590,f4598,f4609,f4613,f4625,f4629,f4810,f4812,f4814,f4817,f4819,f4918,f4944,f4977,f5272,f5474,f5487,f5610,f5982,f6245,f6246]) ).
tff(f6246,plain,
spl22_33,
inference(avatar_contradiction_clause,[],[f6239]) ).
tff(f6239,plain,
( $false
| spl22_33 ),
inference(resolution,[],[f6237,f1071]) ).
tff(f1071,plain,
( ~ same1(sK13,0,0)
| spl22_33 ),
inference(avatar_component_clause,[],[f1070]) ).
tff(f1070,plain,
( spl22_33
<=> same1(sK13,0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
tff(f6237,plain,
! [X0: uf_pure1,X1: $int] : same1(X0,X1,X1),
inference(subsumption_resolution,[],[f583,f145]) ).
tff(f145,plain,
! [X2: $int,X0: $int,X1: uf_pure1] :
( ~ repr1(X1,X2,sK17(X0,X1,X2))
| ~ repr1(X1,X0,sK17(X0,X1,X2))
| same1(X1,X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $int,X2: $int,X1: uf_pure1] :
( same1(X1,X2,X0)
<=> ! [X3: $int] :
( repr1(X1,X0,X3)
<=> repr1(X1,X2,X3) ) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X7: $int,X6: uf_pure1,X1: $int] :
( ! [X8: $int] :
( repr1(X6,X1,X8)
<=> repr1(X6,X7,X8) )
<=> same1(X6,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f583,plain,
! [X0: uf_pure1,X1: $int] :
( repr1(X0,X1,sK17(X1,X0,X1))
| same1(X0,X1,X1) ),
inference(factoring,[],[f144]) ).
tff(f144,plain,
! [X2: $int,X0: $int,X1: uf_pure1] :
( repr1(X1,X2,sK17(X0,X1,X2))
| repr1(X1,X0,sK17(X0,X1,X2))
| same1(X1,X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
tff(f6245,plain,
spl22_19,
inference(avatar_contradiction_clause,[],[f6238]) ).
tff(f6238,plain,
( $false
| spl22_19 ),
inference(resolution,[],[f6237,f293]) ).
tff(f293,plain,
( ~ same1(sK13,sK14,sK14)
| spl22_19 ),
inference(avatar_component_clause,[],[f292]) ).
tff(f292,plain,
( spl22_19
<=> same1(sK13,sK14,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
tff(f5982,plain,
( spl22_67
| spl22_64
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f561,f241,f4808,f5980]) ).
tff(f5980,plain,
( spl22_67
<=> ! [X0: $int] :
( ( sF18 != $product(sK12,X0) )
| ( sK12 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
tff(f4808,plain,
( spl22_64
<=> ( 0 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_64])]) ).
tff(f241,plain,
( spl22_12
<=> ( $product(sK12,sK12) = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
tff(f561,plain,
( ! [X0: $int] :
( ( sF18 != $product(sK12,X0) )
| ( 0 = sK12 )
| ( sK12 = X0 ) )
| ~ spl22_12 ),
inference(superposition,[],[f537,f242]) ).
tff(f242,plain,
( ( $product(sK12,sK12) = sF18 )
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f537,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(gaussian_variable_elimination,[],[f49]) ).
tff(f49,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( $product(X0,X3) != X1 )
| ( $product(X0,X2) != X1 )
| ( 0 = X0 )
| ( X2 = X3 ) ),
introduced(theory_axiom_159,[]) ).
tff(f5610,plain,
( spl22_66
| spl22_23
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f5600,f374,f365,f258,f368,f5608]) ).
tff(f5608,plain,
( spl22_66
<=> ! [X0: $int,X1: $int] :
( $less(X0,sF18)
| $less(X1,sF18)
| ~ $less(X1,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_66])]) ).
tff(f368,plain,
( spl22_23
<=> ( 0 = sK14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
tff(f258,plain,
( spl22_13
<=> $less(sK14,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
tff(f365,plain,
( spl22_22
<=> $less(0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
tff(f374,plain,
( spl22_24
<=> $less(0,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
tff(f5600,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,sF18)
| ~ $less(X1,$uminus(X0))
| $less(X1,sF18)
| ( 0 = sK14 ) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(backward_subsumption_demodulation,[],[f3153,f1924]) ).
tff(f1924,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(X0))
| $less(X0,sF18)
| ( 0 = $uminus(X0) )
| $less(X1,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1823,f39]) ).
tff(f39,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_151,[]) ).
tff(f1823,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| ( 0 = $uminus(X0) )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1694,f381]) ).
tff(f381,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 0 = X0 )
| $less(X0,sF18) )
| ~ spl22_24 ),
inference(resolution,[],[f377,f40]) ).
tff(f40,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f377,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF18) )
| ~ spl22_24 ),
inference(resolution,[],[f375,f39]) ).
tff(f375,plain,
( $less(0,sF18)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f1694,plain,
( ! [X0: $int] :
( ~ $less(0,$uminus(X0))
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22 ),
inference(superposition,[],[f1690,f43]) ).
tff(f43,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_156,[]) ).
tff(f1690,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| ~ $less(0,X0) )
| ~ spl22_13
| ~ spl22_22 ),
inference(resolution,[],[f1684,f319]) ).
tff(f319,plain,
( ! [X0: $int] :
( ~ $less(X0,sK14)
| $less(X0,sF18) )
| ~ spl22_13 ),
inference(resolution,[],[f39,f259]) ).
tff(f259,plain,
( $less(sK14,sF18)
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f1684,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK14)
| ~ $less(0,X0) )
| ~ spl22_22 ),
inference(superposition,[],[f1621,f35]) ).
tff(f35,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f1621,plain,
( ! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),sK14)
| ~ $less(X0,X1) )
| ~ spl22_22 ),
inference(superposition,[],[f1595,f33]) ).
tff(f33,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f1595,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X0,$uminus(X1)),sK14)
| ~ $less(X0,X1) )
| ~ spl22_22 ),
inference(resolution,[],[f350,f1109]) ).
tff(f1109,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f366,f39]) ).
tff(f366,plain,
( $less(0,sK14)
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f350,plain,
! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f41,f37]) ).
tff(f37,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f41,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_153,[]) ).
tff(f3153,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$uminus(X0))
| $less(X1,sF18)
| ( $uminus(X0) = sK14 )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f3131,f39]) ).
tff(f3131,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| $less(X0,sF18)
| ( $uminus(X0) = sK14 ) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(evaluation,[],[f3106]) ).
tff(f3106,plain,
( ! [X0: $int] :
( $less($sum($uminus(X0),0),sF18)
| ( sK14 = $sum($uminus(X0),0) )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f2215,f1219]) ).
tff(f1219,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sF18)
| ( sK14 = X0 ) )
| ~ spl22_13
| ~ spl22_22 ),
inference(resolution,[],[f384,f366]) ).
tff(f384,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,sK14)
| ( sK14 = X0 )
| $less(X0,sF18)
| $less(X1,X0) )
| ~ spl22_13 ),
inference(resolution,[],[f340,f39]) ).
tff(f340,plain,
( ! [X0: $int] :
( $less(sK14,X0)
| $less(X0,sF18)
| ( sK14 = X0 ) )
| ~ spl22_13 ),
inference(resolution,[],[f319,f40]) ).
tff(f2215,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,$sum($uminus(X1),X0))
| $less(X1,sF18) )
| ~ spl22_24 ),
inference(forward_demodulation,[],[f2204,f329]) ).
tff(f329,plain,
! [X0: $int,X1: $int] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f36,f43]) ).
tff(f36,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_147,[]) ).
tff(f2204,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,$uminus($sum($uminus(X0),X1)))
| $less(X1,sF18) )
| ~ spl22_24 ),
inference(superposition,[],[f1628,f422]) ).
tff(f422,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f405]) ).
tff(f405,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f34,f37]) ).
tff(f34,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f1628,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,X0),sF18)
| ~ $less(X1,$uminus(X0)) )
| ~ spl22_24 ),
inference(superposition,[],[f1591,f43]) ).
tff(f1591,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X0,$uminus(X1)),sF18)
| ~ $less(X0,X1) )
| ~ spl22_24 ),
inference(resolution,[],[f350,f377]) ).
tff(f5487,plain,
( spl22_65
| ~ spl22_13
| ~ spl22_20
| ~ spl22_22
| ~ spl22_55 ),
inference(avatar_split_clause,[],[f5468,f4281,f365,f357,f258,f5472]) ).
tff(f5472,plain,
( spl22_65
<=> ! [X0: $int] :
( $less($uminus(X0),sF18)
| $less(X0,sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_65])]) ).
tff(f357,plain,
( spl22_20
<=> $less(1,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
tff(f4281,plain,
( spl22_55
<=> $less(sK12,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_55])]) ).
tff(f5468,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_20
| ~ spl22_22
| ~ spl22_55 ),
inference(resolution,[],[f4881,f4909]) ).
tff(f4909,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_20
| ~ spl22_22 ),
inference(superposition,[],[f4142,f43]) ).
tff(f4142,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| $less(X0,sK12) )
| ~ spl22_13
| ~ spl22_20
| ~ spl22_22 ),
inference(resolution,[],[f3994,f319]) ).
tff(f3994,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK14)
| $less(X0,sK12) )
| ~ spl22_20
| ~ spl22_22 ),
inference(superposition,[],[f3920,f43]) ).
tff(f3920,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| $less(X0,sK14) )
| ~ spl22_20
| ~ spl22_22 ),
inference(resolution,[],[f3703,f363]) ).
tff(f363,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sK12) )
| ~ spl22_20 ),
inference(resolution,[],[f358,f39]) ).
tff(f358,plain,
( $less(1,sK12)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f357]) ).
tff(f3703,plain,
( ! [X0: $int] :
( $less($uminus(X0),1)
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f1983,f42]) ).
tff(f42,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f1983,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum($uminus(X0),X1))
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(superposition,[],[f1850,f422]) ).
tff(f1850,plain,
( ! [X0: $int,X1: $int] :
( ~ $less($sum(X1,X0),X0)
| $less(X1,sK14) )
| ~ spl22_22 ),
inference(superposition,[],[f1687,f33]) ).
tff(f1687,plain,
( ! [X0: $int,X1: $int] :
( ~ $less($sum(X0,X1),X0)
| $less(X1,sK14) )
| ~ spl22_22 ),
inference(evaluation,[],[f1685]) ).
tff(f1685,plain,
( ! [X0: $int,X1: $int] :
( ~ $less($sum($uminus($uminus(X0)),X1),X0)
| $less(X1,sK14) )
| ~ spl22_22 ),
inference(superposition,[],[f1621,f422]) ).
tff(f4881,plain,
( ! [X0: $int] :
( ~ $less(X0,sK12)
| $less(X0,sF18) )
| ~ spl22_55 ),
inference(resolution,[],[f4282,f39]) ).
tff(f4282,plain,
( $less(sK12,sF18)
| ~ spl22_55 ),
inference(avatar_component_clause,[],[f4281]) ).
tff(f5474,plain,
( spl22_23
| spl22_65
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f5459,f374,f365,f258,f5472,f368]) ).
tff(f5459,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| ( 0 = sK14 )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(backward_subsumption_demodulation,[],[f3131,f1823]) ).
tff(f5272,plain,
( ~ spl22_54
| spl22_64
| ~ spl22_12
| spl22_21 ),
inference(avatar_split_clause,[],[f5146,f360,f241,f4808,f4278]) ).
tff(f4278,plain,
( spl22_54
<=> ( sK12 = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_54])]) ).
tff(f360,plain,
( spl22_21
<=> ( 1 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
tff(f5146,plain,
( ( sK12 != sF18 )
| ( 0 = sK12 )
| ~ spl22_12
| spl22_21 ),
inference(subsumption_resolution,[],[f5141,f4589]) ).
tff(f4589,plain,
( ( 1 != sK12 )
| spl22_21 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f5141,plain,
( ( 0 = sK12 )
| ( 1 = sK12 )
| ( sK12 != sF18 )
| ~ spl22_12 ),
inference(superposition,[],[f557,f242]) ).
tff(f557,plain,
! [X0: $int,X1: $int] :
( ( $product(X0,X1) != X0 )
| ( 1 = X1 )
| ( 0 = X0 ) ),
inference(superposition,[],[f537,f46]) ).
tff(f46,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f4977,plain,
( spl22_44
| spl22_43
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f4956,f374,f365,f258,f2137,f2140]) ).
tff(f2140,plain,
( spl22_44
<=> $less(-1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
tff(f2137,plain,
( spl22_43
<=> $less($uminus(sF18),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
tff(f4956,plain,
( $less(-1,sK14)
| $less($uminus(sF18),sF18)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f2083,f1850]) ).
tff(f2083,plain,
( ! [X0: $int] :
( $less($sum(-1,X0),sF18)
| $less($uminus(X0),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(evaluation,[],[f2067]) ).
tff(f2067,plain,
( ! [X0: $int] :
( $less($sum($uminus(1),X0),sF18)
| $less($uminus(X0),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1892,f42]) ).
tff(f1892,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(sF18,$sum($uminus(X0),X1))
| $less($sum($uminus(X1),X0),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(superposition,[],[f1884,f329]) ).
tff(f1884,plain,
( ! [X0: $int] :
( $less($uminus(X0),sF18)
| ~ $less(sF18,X0) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1846,f319]) ).
tff(f1846,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK14)
| ~ $less(sF18,X0) )
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1687,f1591]) ).
tff(f4944,plain,
( spl22_44
| spl22_43
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f4935,f374,f365,f258,f2137,f2140]) ).
tff(f4935,plain,
( $less(-1,sK14)
| $less($uminus(sF18),sF18)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f2060,f1687]) ).
tff(f2060,plain,
( ! [X0: $int] :
( $less($sum(X0,-1),sF18)
| $less($uminus(X0),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(evaluation,[],[f2047]) ).
tff(f2047,plain,
( ! [X0: $int] :
( $less($sum(X0,$uminus(1)),sF18)
| $less($uminus(X0),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1891,f312]) ).
tff(f312,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f42,f33]) ).
tff(f1891,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(sF18,$sum(X0,$uminus(X1)))
| $less($sum(X1,$uminus(X0)),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(superposition,[],[f1884,f328]) ).
tff(f328,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f36,f43]) ).
tff(f4918,plain,
( spl22_52
| ~ spl22_51
| ~ spl22_50
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(avatar_split_clause,[],[f4850,f1937,f241,f184,f4033,f4036,f4039]) ).
tff(f4039,plain,
( spl22_52
<=> $less(0,$product($uminus(sK12),$uminus(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
tff(f4036,plain,
( spl22_51
<=> $less(sK12,$uminus(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
tff(f4033,plain,
( spl22_50
<=> $less(sF18,$uminus(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_50])]) ).
tff(f184,plain,
( spl22_3
<=> $less(sF18,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
tff(f1937,plain,
( spl22_40
<=> $less(sK12,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
tff(f4850,plain,
( $less(0,$product($uminus(sK12),$uminus(sK12)))
| ~ $less(sF18,$uminus(sK12))
| ~ $less(sK12,$uminus(sK12))
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(forward_demodulation,[],[f4840,f47]) ).
tff(f47,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_157,[]) ).
tff(f4840,plain,
( ~ $less(sF18,$uminus(sK12))
| ~ $less(sK12,$uminus(sK12))
| $less($product(sK12,0),$product($uminus(sK12),$uminus(sK12)))
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(superposition,[],[f3907,f295]) ).
tff(f295,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f37,f43]) ).
tff(f3907,plain,
( ! [X0: $int] :
( $less($product(sK12,$sum(X0,sK12)),$product(X0,X0))
| ~ $less(sF18,X0)
| ~ $less(sK12,X0) )
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(subsumption_resolution,[],[f3906,f1938]) ).
tff(f1938,plain,
( ~ $less(sK12,0)
| spl22_40 ),
inference(avatar_component_clause,[],[f1937]) ).
tff(f3906,plain,
( ! [X0: $int] :
( $less(sK12,0)
| $less($product(sK12,$sum(X0,sK12)),$product(X0,X0))
| ~ $less(sK12,X0)
| ~ $less(sF18,X0) )
| spl22_3
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f3877,f185]) ).
tff(f185,plain,
( ~ $less(sF18,0)
| spl22_3 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f3877,plain,
( ! [X0: $int] :
( ~ $less(sK12,X0)
| ~ $less(sF18,X0)
| $less($product(sK12,$sum(X0,sK12)),$product(X0,X0))
| $less(sF18,0)
| $less(sK12,0) )
| ~ spl22_12 ),
inference(superposition,[],[f707,f474]) ).
tff(f474,plain,
( ! [X0: $int] : ( $product(sK12,$sum(X0,sK12)) = $sum($product(sK12,X0),sF18) )
| ~ spl22_12 ),
inference(superposition,[],[f48,f242]) ).
tff(f48,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_158,[]) ).
tff(f707,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($product(X1,X0),X2),$product(X0,X0))
| $less(X2,0)
| $less(X1,0)
| ~ $less(X2,X0)
| ~ $less(X1,X0) ),
inference(subsumption_resolution,[],[f94,f39]) ).
tff(f94,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum($product(X1,X0),X2),$product(X0,X0))
| $less(X0,0)
| $less(X1,0)
| $less(X2,0)
| ~ $less(X2,X0)
| ~ $less(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ $less(X2,X0)
| $less(X0,0)
| ( ~ $less($sum($product(X1,X0),X2),0)
& $less($sum($product(X1,X0),X2),$product(X0,X0)) )
| ~ $less(X1,X0)
| $less(X1,0)
| $less(X2,0) ),
inference(flattening,[],[f90]) ).
tff(f90,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( ~ $less($sum($product(X1,X0),X2),0)
& $less($sum($product(X1,X0),X2),$product(X0,X0)) )
| ~ $less(X2,X0)
| $less(X2,0)
| ~ $less(X1,X0)
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f72]) ).
tff(f72,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ $less(X0,0)
=> ( ( $less(X1,X0)
& ~ $less(X1,0) )
=> ( ( $less(X2,X0)
& ~ $less(X2,0) )
=> ( ~ $less($sum($product(X1,X0),X2),0)
& $less($sum($product(X1,X0),X2),$product(X0,X0)) ) ) ) ),
inference(rectify,[],[f32]) ).
tff(f32,plain,
! [X14: $int,X1: $int,X7: $int] :
( ~ $less(X14,0)
=> ( ( ~ $less(X1,0)
& $less(X1,X14) )
=> ( ( $less(X7,X14)
& ~ $less(X7,0) )
=> ( ~ $less($sum($product(X1,X14),X7),0)
& $less($sum($product(X1,X14),X7),$product(X14,X14)) ) ) ) ),
inference(theory_normalization,[],[f24]) ).
tff(f24,axiom,
! [X14: $int,X1: $int,X7: $int] :
( $lesseq(0,X14)
=> ( ( $lesseq(0,X1)
& $less(X1,X14) )
=> ( ( $less(X7,X14)
& $lesseq(0,X7) )
=> ( $lesseq(0,$sum($product(X1,X14),X7))
& $less($sum($product(X1,X14),X7),$product(X14,X14)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f4819,plain,
( spl22_15
| spl22_21
| ~ spl22_59
| ~ spl22_62 ),
inference(avatar_contradiction_clause,[],[f4818]) ).
tff(f4818,plain,
( $false
| spl22_15
| spl22_21
| ~ spl22_59
| ~ spl22_62 ),
inference(subsumption_resolution,[],[f4802,f268]) ).
tff(f268,plain,
( ~ $less(sK14,0)
| spl22_15 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f267,plain,
( spl22_15
<=> $less(sK14,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
tff(f4802,plain,
( $less(sK14,0)
| spl22_21
| ~ spl22_59
| ~ spl22_62 ),
inference(backward_demodulation,[],[f4577,f4703]) ).
tff(f4703,plain,
( ( 0 = sK12 )
| spl22_21
| ~ spl22_62 ),
inference(subsumption_resolution,[],[f4700,f4589]) ).
tff(f4700,plain,
( ( 1 = sK12 )
| ( 0 = sK12 )
| ~ spl22_62 ),
inference(trivial_inequality_removal,[],[f4697]) ).
tff(f4697,plain,
( ( 1 = sK12 )
| ( 0 = sK12 )
| ( sK12 != sK12 )
| ~ spl22_62 ),
inference(superposition,[],[f557,f4624]) ).
tff(f4624,plain,
( ( sK12 = $product(sK12,sK12) )
| ~ spl22_62 ),
inference(avatar_component_clause,[],[f4623]) ).
tff(f4623,plain,
( spl22_62
<=> ( sK12 = $product(sK12,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_62])]) ).
tff(f4577,plain,
( $less(sK14,sK12)
| ~ spl22_59 ),
inference(avatar_component_clause,[],[f4576]) ).
tff(f4576,plain,
( spl22_59
<=> $less(sK14,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_59])]) ).
tff(f4817,plain,
( spl22_1
| spl22_21
| ~ spl22_62 ),
inference(avatar_contradiction_clause,[],[f4816]) ).
tff(f4816,plain,
( $false
| spl22_1
| spl22_21
| ~ spl22_62 ),
inference(evaluation,[],[f4750]) ).
tff(f4750,plain,
( ~ $less(0,1)
| spl22_1
| spl22_21
| ~ spl22_62 ),
inference(backward_demodulation,[],[f177,f4703]) ).
tff(f177,plain,
( ~ $less(sK12,1)
| spl22_1 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f176,plain,
( spl22_1
<=> $less(sK12,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
tff(f4814,plain,
( spl22_21
| ~ spl22_26
| ~ spl22_62 ),
inference(avatar_contradiction_clause,[],[f4813]) ).
tff(f4813,plain,
( $false
| spl22_21
| ~ spl22_26
| ~ spl22_62 ),
inference(evaluation,[],[f4756]) ).
tff(f4756,plain,
( $less(0,0)
| spl22_21
| ~ spl22_26
| ~ spl22_62 ),
inference(backward_demodulation,[],[f448,f4703]) ).
tff(f448,plain,
( $less(0,sK12)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f447]) ).
tff(f447,plain,
( spl22_26
<=> $less(0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
tff(f4812,plain,
( ~ spl22_20
| spl22_21
| ~ spl22_62 ),
inference(avatar_contradiction_clause,[],[f4811]) ).
tff(f4811,plain,
( $false
| ~ spl22_20
| spl22_21
| ~ spl22_62 ),
inference(evaluation,[],[f4751]) ).
tff(f4751,plain,
( $less(1,0)
| ~ spl22_20
| spl22_21
| ~ spl22_62 ),
inference(backward_demodulation,[],[f358,f4703]) ).
tff(f4810,plain,
( spl22_64
| spl22_21
| ~ spl22_62 ),
inference(avatar_split_clause,[],[f4703,f4623,f360,f4808]) ).
tff(f4629,plain,
( spl22_63
| ~ spl22_41
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4403,f4278,f2091,f4627]) ).
tff(f4627,plain,
( spl22_63
<=> $less($uminus(sK14),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_63])]) ).
tff(f2091,plain,
( spl22_41
<=> $less($uminus(sK14),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
tff(f4403,plain,
( $less($uminus(sK14),sK12)
| ~ spl22_41
| ~ spl22_54 ),
inference(backward_demodulation,[],[f2092,f4279]) ).
tff(f4279,plain,
( ( sK12 = sF18 )
| ~ spl22_54 ),
inference(avatar_component_clause,[],[f4278]) ).
tff(f2092,plain,
( $less($uminus(sK14),sF18)
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f2091]) ).
tff(f4625,plain,
( spl22_62
| ~ spl22_12
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4331,f4278,f241,f4623]) ).
tff(f4331,plain,
( ( sK12 = $product(sK12,sK12) )
| ~ spl22_12
| ~ spl22_54 ),
inference(backward_demodulation,[],[f242,f4279]) ).
tff(f4613,plain,
( ~ spl22_51
| spl22_50
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4464,f4278,f4033,f4036]) ).
tff(f4464,plain,
( ~ $less(sK12,$uminus(sK12))
| spl22_50
| ~ spl22_54 ),
inference(backward_demodulation,[],[f4034,f4279]) ).
tff(f4034,plain,
( ~ $less(sF18,$uminus(sK12))
| spl22_50 ),
inference(avatar_component_clause,[],[f4033]) ).
tff(f4609,plain,
( spl22_61
| ~ spl22_11
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4330,f4278,f237,f4607]) ).
tff(f4607,plain,
( spl22_61
<=> ( sK12 = size1(sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).
tff(f237,plain,
( spl22_11
<=> ( size1(sK13) = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
tff(f4330,plain,
( ( sK12 = size1(sK13) )
| ~ spl22_11
| ~ spl22_54 ),
inference(backward_demodulation,[],[f238,f4279]) ).
tff(f238,plain,
( ( size1(sK13) = sF18 )
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f237]) ).
tff(f4598,plain,
( spl22_60
| ~ spl22_10
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4329,f4278,f232,f4596]) ).
tff(f4596,plain,
( spl22_60
<=> ( sK12 = num1(sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).
tff(f232,plain,
( spl22_10
<=> ( num1(sK13) = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
tff(f4329,plain,
( ( sK12 = num1(sK13) )
| ~ spl22_10
| ~ spl22_54 ),
inference(backward_demodulation,[],[f233,f4279]) ).
tff(f233,plain,
( ( num1(sK13) = sF18 )
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f4590,plain,
( ~ spl22_21
| spl22_32
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4468,f4278,f1024,f360]) ).
tff(f1024,plain,
( spl22_32
<=> ( 1 = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
tff(f4468,plain,
( ( 1 != sK12 )
| spl22_32
| ~ spl22_54 ),
inference(superposition,[],[f1025,f4279]) ).
tff(f1025,plain,
( ( 1 != sF18 )
| spl22_32 ),
inference(avatar_component_clause,[],[f1024]) ).
tff(f4578,plain,
( spl22_59
| ~ spl22_13
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4333,f4278,f258,f4576]) ).
tff(f4333,plain,
( $less(sK14,sK12)
| ~ spl22_13
| ~ spl22_54 ),
inference(backward_demodulation,[],[f259,f4279]) ).
tff(f4567,plain,
( spl22_58
| ~ spl22_6
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4332,f4278,f202,f4565]) ).
tff(f4565,plain,
( spl22_58
<=> ( sK12 = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_58])]) ).
tff(f202,plain,
( spl22_6
<=> ( sF18 = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
tff(f4332,plain,
( ( sK12 = sF21 )
| ~ spl22_6
| ~ spl22_54 ),
inference(backward_demodulation,[],[f253,f4279]) ).
tff(f253,plain,
( ( sF18 = sF21 )
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f202]) ).
tff(f4540,plain,
( spl22_57
| ~ spl22_5
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4328,f4278,f192,f4538]) ).
tff(f4538,plain,
( spl22_57
<=> ( sK12 = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_57])]) ).
tff(f192,plain,
( spl22_5
<=> ( sF18 = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
tff(f4328,plain,
( ( sK12 = sF20 )
| ~ spl22_5
| ~ spl22_54 ),
inference(backward_demodulation,[],[f193,f4279]) ).
tff(f193,plain,
( ( sF18 = sF20 )
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f4536,plain,
( spl22_56
| ~ spl22_4
| ~ spl22_54 ),
inference(avatar_split_clause,[],[f4327,f4278,f188,f4534]) ).
tff(f4534,plain,
( spl22_56
<=> ( sK12 = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_56])]) ).
tff(f188,plain,
( spl22_4
<=> ( sF18 = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
tff(f4327,plain,
( ( sK12 = sF19 )
| ~ spl22_4
| ~ spl22_54 ),
inference(backward_demodulation,[],[f189,f4279]) ).
tff(f189,plain,
( ( sF18 = sF19 )
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f4283,plain,
( spl22_54
| spl22_55
| spl22_53 ),
inference(avatar_split_clause,[],[f4245,f4242,f4281,f4278]) ).
tff(f4242,plain,
( spl22_53
<=> $less(sF18,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_53])]) ).
tff(f4245,plain,
( $less(sK12,sF18)
| ( sK12 = sF18 )
| spl22_53 ),
inference(resolution,[],[f4243,f40]) ).
tff(f4243,plain,
( ~ $less(sF18,sK12)
| spl22_53 ),
inference(avatar_component_clause,[],[f4242]) ).
tff(f4244,plain,
( ~ spl22_53
| spl22_1
| ~ spl22_12
| spl22_40 ),
inference(avatar_split_clause,[],[f4228,f1937,f241,f176,f4242]) ).
tff(f4228,plain,
( ~ $less(sF18,sK12)
| spl22_1
| ~ spl22_12
| spl22_40 ),
inference(subsumption_resolution,[],[f4227,f177]) ).
tff(f4227,plain,
( $less(sK12,1)
| ~ $less(sF18,sK12)
| ~ spl22_12
| spl22_40 ),
inference(superposition,[],[f4026,f46]) ).
tff(f4026,plain,
( ! [X0: $int] :
( ~ $less(sF18,$product(sK12,X0))
| $less(sK12,X0) )
| ~ spl22_12
| spl22_40 ),
inference(superposition,[],[f3992,f44]) ).
tff(f44,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f3992,plain,
( ! [X0: $int] :
( ~ $less(sF18,$product(X0,sK12))
| $less(sK12,X0) )
| ~ spl22_12
| spl22_40 ),
inference(subsumption_resolution,[],[f523,f1938]) ).
tff(f523,plain,
( ! [X0: $int] :
( $less(sK12,X0)
| $less(sK12,0)
| ~ $less(sF18,$product(X0,sK12)) )
| ~ spl22_12 ),
inference(superposition,[],[f153,f242]) ).
tff(f153,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X2,X1),$product(X0,X1))
| $less(X2,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ $less($product(X2,X1),$product(X0,X1))
| $less(X2,X0)
| $less(X1,0) ),
inference(flattening,[],[f78]) ).
tff(f78,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X2,X1),$product(X0,X1))
| $less(X1,0)
| $less(X2,X0) ),
inference(ennf_transformation,[],[f52]) ).
tff(f52,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X0)
=> ( ~ $less(X1,0)
=> ~ $less($product(X2,X1),$product(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
! [X1: $int,X4: $int,X7: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X1: $int,X4: $int,X7: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f4041,plain,
( ~ spl22_50
| ~ spl22_51
| spl22_52
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(avatar_split_clause,[],[f3960,f1937,f241,f184,f4039,f4036,f4033]) ).
tff(f3960,plain,
( $less(0,$product($uminus(sK12),$uminus(sK12)))
| ~ $less(sK12,$uminus(sK12))
| ~ $less(sF18,$uminus(sK12))
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(forward_demodulation,[],[f3943,f47]) ).
tff(f3943,plain,
( $less($product(sK12,0),$product($uminus(sK12),$uminus(sK12)))
| ~ $less(sF18,$uminus(sK12))
| ~ $less(sK12,$uminus(sK12))
| spl22_3
| ~ spl22_12
| spl22_40 ),
inference(superposition,[],[f3907,f295]) ).
tff(f3541,plain,
( spl22_49
| spl22_48
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f3523,f1255,f447,f365,f258,f3340,f3479]) ).
tff(f3479,plain,
( spl22_49
<=> $less($uminus(sK12),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
tff(f3340,plain,
( spl22_48
<=> $less($uminus(sF18),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
tff(f1255,plain,
( spl22_38
<=> ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK12)
| ( 1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
tff(f3523,plain,
( $less($uminus(sF18),sK14)
| $less($uminus(sK12),sK14)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f3034,f1850]) ).
tff(f3034,plain,
( ! [X0: $int] :
( $less($sum($uminus(sK12),X0),sF18)
| $less($uminus(X0),sK14) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f1919,f1850]) ).
tff(f1919,plain,
( ! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),sK12)
| $less($sum($uminus(X0),X1),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(superposition,[],[f1871,f329]) ).
tff(f1871,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(evaluation,[],[f1866]) ).
tff(f1866,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| ( 0 = 1 )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(backward_subsumption_demodulation,[],[f1819,f1822]) ).
tff(f1822,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| $less(X0,sF18)
| ( 0 = $uminus(X0) ) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26 ),
inference(resolution,[],[f1694,f709]) ).
tff(f709,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK12)
| ( 0 = X0 ) )
| ~ spl22_26 ),
inference(resolution,[],[f708,f40]) ).
tff(f708,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK12) )
| ~ spl22_26 ),
inference(resolution,[],[f448,f39]) ).
tff(f1819,plain,
( ! [X0: $int] :
( $less($uminus(X0),sK12)
| $less(X0,sF18)
| ( 1 = $uminus(X0) ) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_38 ),
inference(resolution,[],[f1694,f1256]) ).
tff(f1256,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 1 = X0 )
| $less(X0,sK12) )
| ~ spl22_38 ),
inference(avatar_component_clause,[],[f1255]) ).
tff(f3481,plain,
( spl22_48
| spl22_49
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f3244,f1255,f447,f365,f258,f3479,f3340]) ).
tff(f3244,plain,
( $less($uminus(sK12),sK14)
| $less($uminus(sF18),sK14)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f2622,f1687]) ).
tff(f2622,plain,
( ! [X0: $int] :
( $less($sum(X0,$uminus(sK12)),sF18)
| $less($uminus(X0),sK14) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f1918,f1687]) ).
tff(f1918,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),sK12)
| $less($sum(X0,$uminus(X1)),sF18) )
| ~ spl22_13
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(superposition,[],[f1871,f328]) ).
tff(f3342,plain,
( spl22_47
| spl22_48
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24
| ~ spl22_26
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f3243,f1255,f447,f374,f365,f258,f3340,f3337]) ).
tff(f3337,plain,
( spl22_47
<=> $less($uminus(sK12),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_47])]) ).
tff(f3243,plain,
( $less($uminus(sF18),sK14)
| $less($uminus(sK12),sF18)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f2622,f2331]) ).
tff(f2331,plain,
( ! [X0: $int,X1: $int] :
( ~ $less($sum(X0,X1),X0)
| $less(X1,sF18) )
| ~ spl22_24 ),
inference(evaluation,[],[f2329]) ).
tff(f2329,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,sF18)
| ~ $less($sum($uminus($uminus(X0)),X1),X0) )
| ~ spl22_24 ),
inference(superposition,[],[f1630,f422]) ).
tff(f1630,plain,
( ! [X0: $int,X1: $int] :
( $less($sum($uminus(X1),X0),sF18)
| ~ $less(X0,X1) )
| ~ spl22_24 ),
inference(superposition,[],[f1591,f33]) ).
tff(f2242,plain,
( spl22_45
| spl22_25
| spl22_46
| ~ spl22_20
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f2233,f374,f365,f357,f2240,f444,f2237]) ).
tff(f2237,plain,
( spl22_45
<=> $less($uminus(sF18),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
tff(f444,plain,
( spl22_25
<=> $less(1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
tff(f2240,plain,
( spl22_46
<=> ( 1 = $uminus(sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_46])]) ).
tff(f2233,plain,
( $less($uminus(sF18),sK12)
| $less(1,sK14)
| ( 1 = $uminus(sF18) )
| ~ spl22_20
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f2199,f378]) ).
tff(f378,plain,
( ! [X0: $int] :
( $less(1,X0)
| ( 1 = X0 )
| $less(X0,sK12) )
| ~ spl22_20 ),
inference(resolution,[],[f363,f40]) ).
tff(f2199,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sF18))
| $less(X0,sK14) )
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f1628,f1850]) ).
tff(f2142,plain,
( spl22_43
| spl22_44
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f2129,f374,f365,f258,f2140,f2137]) ).
tff(f2129,plain,
( $less($uminus(sF18),sF18)
| $less(-1,sK14)
| ~ spl22_13
| ~ spl22_22
| ~ spl22_24 ),
inference(resolution,[],[f2060,f1687]) ).
tff(f2096,plain,
( spl22_41
| spl22_42
| ~ spl22_13
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f2032,f365,f258,f2094,f2091]) ).
tff(f2094,plain,
( spl22_42
<=> ( sK14 = $uminus(sK14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
tff(f2032,plain,
( ( sK14 = $uminus(sK14) )
| $less($uminus(sK14),sF18)
| ~ spl22_13
| ~ spl22_22 ),
inference(subsumption_resolution,[],[f2031,f38]) ).
tff(f38,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f2031,plain,
( $less(sK14,sK14)
| $less($uminus(sK14),sF18)
| ( sK14 = $uminus(sK14) )
| ~ spl22_13
| ~ spl22_22 ),
inference(resolution,[],[f1971,f340]) ).
tff(f1971,plain,
( ! [X0: $int] :
( ~ $less(X0,$uminus(sK14))
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f1850,f1619]) ).
tff(f1619,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,X0),sK14)
| ~ $less(X1,$uminus(X0)) )
| ~ spl22_22 ),
inference(superposition,[],[f1595,f43]) ).
tff(f1939,plain,
( ~ spl22_40
| spl22_25
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(avatar_split_clause,[],[f1835,f1255,f447,f365,f444,f1937]) ).
tff(f1835,plain,
( $less(1,sK14)
| ~ $less(sK12,0)
| ~ spl22_22
| ~ spl22_26
| ~ spl22_38 ),
inference(resolution,[],[f1687,f1510]) ).
tff(f1510,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sK12)
| ~ $less(X0,0) )
| ~ spl22_26
| ~ spl22_38 ),
inference(superposition,[],[f1457,f33]) ).
tff(f1457,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sK12)
| ~ $less(X0,0) )
| ~ spl22_26
| ~ spl22_38 ),
inference(evaluation,[],[f1452]) ).
tff(f1452,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less($sum(1,X0),sK12)
| ( 0 = 1 ) )
| ~ spl22_26
| ~ spl22_38 ),
inference(backward_subsumption_demodulation,[],[f1400,f926]) ).
tff(f926,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sK12)
| ~ $less(X0,0)
| ( 0 = $sum(1,X0) ) )
| ~ spl22_26 ),
inference(superposition,[],[f734,f33]) ).
tff(f734,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sK12)
| ( 0 = $sum(X0,1) )
| ~ $less(X0,0) )
| ~ spl22_26 ),
inference(resolution,[],[f709,f50]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_169,[]) ).
tff(f1400,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sK12)
| ~ $less(X0,0)
| ( 1 = $sum(1,X0) ) )
| ~ spl22_38 ),
inference(superposition,[],[f1271,f33]) ).
tff(f1271,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sK12)
| ~ $less(X0,0)
| ( 1 = $sum(X0,1) ) )
| ~ spl22_38 ),
inference(resolution,[],[f1256,f50]) ).
tff(f1310,plain,
( spl22_25
| spl22_39
| ~ spl22_22
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f1214,f457,f365,f1308,f444]) ).
tff(f1308,plain,
( spl22_39
<=> ! [X0: $int] :
( $less(X0,sF18)
| $less(0,X0)
| ( 1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
tff(f457,plain,
( spl22_27
<=> $less(1,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
tff(f1214,plain,
( ! [X0: $int] :
( $less(X0,sF18)
| $less(1,sK14)
| ( 1 = X0 )
| $less(0,X0) )
| ~ spl22_22
| ~ spl22_27 ),
inference(evaluation,[],[f1209]) ).
tff(f1209,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 0 = 1 )
| $less(1,sK14)
| $less(X0,sF18)
| ( 1 = X0 ) )
| ~ spl22_22
| ~ spl22_27 ),
inference(resolution,[],[f1155,f571]) ).
tff(f571,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,1)
| ( 1 = X0 )
| $less(X0,sF18)
| $less(X1,X0) )
| ~ spl22_27 ),
inference(resolution,[],[f487,f39]) ).
tff(f487,plain,
( ! [X0: $int] :
( $less(1,X0)
| ( 1 = X0 )
| $less(X0,sF18) )
| ~ spl22_27 ),
inference(resolution,[],[f460,f40]) ).
tff(f460,plain,
( ! [X0: $int] :
( ~ $less(X0,1)
| $less(X0,sF18) )
| ~ spl22_27 ),
inference(resolution,[],[f458,f39]) ).
tff(f458,plain,
( $less(1,sF18)
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f457]) ).
tff(f1155,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 0 = X0 )
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f1109,f40]) ).
tff(f1257,plain,
( spl22_38
| spl22_25
| ~ spl22_20
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f1213,f365,f357,f444,f1255]) ).
tff(f1213,plain,
( ! [X0: $int] :
( $less(0,X0)
| ( 1 = X0 )
| $less(X0,sK12)
| $less(1,sK14) )
| ~ spl22_20
| ~ spl22_22 ),
inference(evaluation,[],[f1207]) ).
tff(f1207,plain,
( ! [X0: $int] :
( ( 1 = X0 )
| $less(0,X0)
| $less(X0,sK12)
| $less(1,sK14)
| ( 0 = 1 ) )
| ~ spl22_20
| ~ spl22_22 ),
inference(resolution,[],[f1155,f395]) ).
tff(f395,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,1)
| $less(X1,X0)
| $less(X0,sK12)
| ( 1 = X0 ) )
| ~ spl22_20 ),
inference(resolution,[],[f378,f39]) ).
tff(f1142,plain,
( ~ spl22_37
| ~ spl22_18
| spl22_34 ),
inference(avatar_split_clause,[],[f1138,f1074,f288,f1140]) ).
tff(f1140,plain,
( spl22_37
<=> path1(sK11,0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
tff(f288,plain,
( spl22_18
<=> ( sK14 = sK15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
tff(f1074,plain,
( spl22_34
<=> path1(sK11,0,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
tff(f1138,plain,
( ~ path1(sK11,0,sK14)
| ~ spl22_18
| spl22_34 ),
inference(forward_demodulation,[],[f1075,f289]) ).
tff(f289,plain,
( ( sK14 = sK15 )
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f288]) ).
tff(f1075,plain,
( ~ path1(sK11,0,sK15)
| spl22_34 ),
inference(avatar_component_clause,[],[f1074]) ).
tff(f1131,plain,
( ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16
| spl22_17 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
tff(f1130,plain,
( $false
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16
| spl22_17 ),
inference(subsumption_resolution,[],[f1124,f195]) ).
tff(f195,plain,
! [X4: $int] : path1(sK11,X4,X4),
inference(gaussian_variable_elimination,[],[f129]) ).
tff(f129,plain,
! [X3: $int,X4: $int] :
( ( X3 != X4 )
| path1(sK11,X3,X4) ),
inference(cnf_transformation,[],[f84]) ).
tff(f84,plain,
? [X2: $int,X1: graph1,X0: $int] :
( ? [X5: uf_pure1] :
( ( ( size1(X5) != $sum(num1(X5),X2) )
| $less(num1(X5),1)
| ( $product(X0,X0) != size1(X5) )
| ? [X9: $int,X10: $int] :
( $less(X10,$product(X0,X0))
& ( same1(X5,X9,X10)
<~> path1(X1,X9,X10) )
& ~ $less(X9,0)
& $less(X9,$product(X0,X0))
& ~ $less(X10,0) ) )
& ! [X6: $int] :
( ~ $less(X6,$product(X0,X0))
| $less(X6,0)
| repr1(X5,X6,X6) )
& ( $product(X0,X0) = num1(X5) )
& ! [X8: $int,X7: $int] :
( $less(X8,0)
| ( repr1(X5,X8,X7)
& ( X7 = X8 )
& repr1(X5,X8,X8) )
| ~ $less(X8,$product(X0,X0))
| ~ same1(X5,X8,X7)
| ~ $less(X7,$product(X0,X0))
| $less(X7,0) )
& ( $product(X0,X0) = size1(X5) ) )
& ( 0 = X2 )
& ~ $less($product(X0,X0),0)
& ~ $less(X0,1)
& ! [X4: $int,X3: $int] :
( path1(X1,X3,X4)
<=> ( X3 = X4 ) ) ),
inference(flattening,[],[f83]) ).
tff(f83,plain,
? [X1: graph1,X0: $int,X2: $int] :
( ? [X5: uf_pure1] :
( ( ( $product(X0,X0) != size1(X5) )
| ? [X10: $int,X9: $int] :
( ( same1(X5,X9,X10)
<~> path1(X1,X9,X10) )
& ~ $less(X10,0)
& $less(X10,$product(X0,X0))
& ~ $less(X9,0)
& $less(X9,$product(X0,X0)) )
| $less(num1(X5),1)
| ( size1(X5) != $sum(num1(X5),X2) ) )
& ! [X7: $int,X8: $int] :
( ( repr1(X5,X8,X7)
& ( X7 = X8 )
& repr1(X5,X8,X8) )
| ~ same1(X5,X8,X7)
| ~ $less(X7,$product(X0,X0))
| $less(X7,0)
| ~ $less(X8,$product(X0,X0))
| $less(X8,0) )
& ( $product(X0,X0) = num1(X5) )
& ! [X6: $int] :
( repr1(X5,X6,X6)
| ~ $less(X6,$product(X0,X0))
| $less(X6,0) )
& ( $product(X0,X0) = size1(X5) ) )
& ~ $less($product(X0,X0),0)
& ~ $less(X0,1)
& ! [X4: $int,X3: $int] :
( path1(X1,X3,X4)
<=> ( X3 = X4 ) )
& ( 0 = X2 ) ),
inference(ennf_transformation,[],[f55]) ).
tff(f55,plain,
~ ! [X1: graph1,X0: $int,X2: $int] :
( ( ~ $less(X0,1)
& ! [X4: $int,X3: $int] :
( path1(X1,X3,X4)
<=> ( X3 = X4 ) )
& ( 0 = X2 ) )
=> ( ~ $less($product(X0,X0),0)
=> ! [X5: uf_pure1] :
( ( ( $product(X0,X0) = num1(X5) )
& ! [X6: $int] :
( ( $less(X6,$product(X0,X0))
& ~ $less(X6,0) )
=> repr1(X5,X6,X6) )
& ( $product(X0,X0) = size1(X5) ) )
=> ( ! [X7: $int,X8: $int] :
( ( $less(X8,$product(X0,X0))
& ~ $less(X8,0) )
=> ( ( $less(X7,$product(X0,X0))
& ~ $less(X7,0) )
=> ( same1(X5,X8,X7)
=> ( repr1(X5,X8,X7)
& ( X7 = X8 )
& repr1(X5,X8,X8) ) ) ) )
=> ( ( $product(X0,X0) = size1(X5) )
& ! [X10: $int,X9: $int] :
( ( ~ $less(X9,0)
& $less(X9,$product(X0,X0)) )
=> ( ( ~ $less(X10,0)
& $less(X10,$product(X0,X0)) )
=> ( same1(X5,X9,X10)
<=> path1(X1,X9,X10) ) ) )
& ~ $less(num1(X5),1)
& ( size1(X5) = $sum(num1(X5),X2) ) ) ) ) ) ),
inference(rectify,[],[f29]) ).
tff(f29,plain,
~ ! [X14: $int,X16: graph1,X15: $int] :
( ( ~ $less(X14,1)
& ! [X1: $int,X7: $int] :
( ( X1 = X7 )
<=> path1(X16,X1,X7) )
& ( 0 = X15 ) )
=> ( ~ $less($product(X14,X14),0)
=> ! [X6: uf_pure1] :
( ( ( size1(X6) = $product(X14,X14) )
& ( num1(X6) = $product(X14,X14) )
& ! [X1: $int] :
( ( $less(X1,$product(X14,X14))
& ~ $less(X1,0) )
=> repr1(X6,X1,X1) ) )
=> ( ! [X7: $int,X1: $int] :
( ( ~ $less(X1,0)
& $less(X1,$product(X14,X14)) )
=> ( ( $less(X7,$product(X14,X14))
& ~ $less(X7,0) )
=> ( same1(X6,X1,X7)
=> ( repr1(X6,X1,X1)
& ( X1 = X7 )
& repr1(X6,X1,X7) ) ) ) )
=> ( ! [X1: $int,X7: $int] :
( ( ~ $less(X1,0)
& $less(X1,$product(X14,X14)) )
=> ( ( ~ $less(X7,0)
& $less(X7,$product(X14,X14)) )
=> ( same1(X6,X1,X7)
<=> path1(X16,X1,X7) ) ) )
& ( size1(X6) = $sum(num1(X6),X15) )
& ( size1(X6) = $product(X14,X14) )
& ~ $less(num1(X6),1) ) ) ) ) ),
inference(theory_normalization,[],[f26]) ).
tff(f26,negated_conjecture,
~ ! [X14: $int,X16: graph1,X15: $int] :
( ( $lesseq(1,X14)
& ! [X1: $int,X7: $int] :
( ( X1 = X7 )
<=> path1(X16,X1,X7) )
& ( 0 = X15 ) )
=> ( $lesseq(0,$product(X14,X14))
=> ! [X6: uf_pure1] :
( ( ( size1(X6) = $product(X14,X14) )
& ( num1(X6) = $product(X14,X14) )
& ! [X1: $int] :
( ( $less(X1,$product(X14,X14))
& $lesseq(0,X1) )
=> repr1(X6,X1,X1) ) )
=> ( ! [X7: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(X1,$product(X14,X14)) )
=> ( ( $less(X7,$product(X14,X14))
& $lesseq(0,X7) )
=> ( same1(X6,X1,X7)
=> ( repr1(X6,X1,X1)
& ( X1 = X7 )
& repr1(X6,X1,X7) ) ) ) )
=> ( ! [X1: $int,X7: $int] :
( ( $lesseq(0,X1)
& $less(X1,$product(X14,X14)) )
=> ( ( $lesseq(0,X7)
& $less(X7,$product(X14,X14)) )
=> ( same1(X6,X1,X7)
<=> path1(X16,X1,X7) ) ) )
& ( size1(X6) = $sum(num1(X6),X15) )
& ( size1(X6) = $product(X14,X14) )
& $lesseq(1,num1(X6)) ) ) ) ) ),
inference(negated_conjecture,[],[f25]) ).
tff(f25,conjecture,
! [X14: $int,X16: graph1,X15: $int] :
( ( $lesseq(1,X14)
& ! [X1: $int,X7: $int] :
( ( X1 = X7 )
<=> path1(X16,X1,X7) )
& ( 0 = X15 ) )
=> ( $lesseq(0,$product(X14,X14))
=> ! [X6: uf_pure1] :
( ( ( size1(X6) = $product(X14,X14) )
& ( num1(X6) = $product(X14,X14) )
& ! [X1: $int] :
( ( $less(X1,$product(X14,X14))
& $lesseq(0,X1) )
=> repr1(X6,X1,X1) ) )
=> ( ! [X7: $int,X1: $int] :
( ( $lesseq(0,X1)
& $less(X1,$product(X14,X14)) )
=> ( ( $less(X7,$product(X14,X14))
& $lesseq(0,X7) )
=> ( same1(X6,X1,X7)
=> ( repr1(X6,X1,X1)
& ( X1 = X7 )
& repr1(X6,X1,X7) ) ) ) )
=> ( ! [X1: $int,X7: $int] :
( ( $lesseq(0,X1)
& $less(X1,$product(X14,X14)) )
=> ( ( $lesseq(0,X7)
& $less(X7,$product(X14,X14)) )
=> ( same1(X6,X1,X7)
<=> path1(X16,X1,X7) ) ) )
& ( size1(X6) = $sum(num1(X6),X15) )
& ( size1(X6) = $product(X14,X14) )
& $lesseq(1,num1(X6)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1124,plain,
( ~ path1(sK11,sK14,sK14)
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16
| spl22_17 ),
inference(backward_demodulation,[],[f276,f1121]) ).
tff(f1121,plain,
( ( sK14 = sK15 )
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1120,f263]) ).
tff(f263,plain,
( ~ $less(sK15,0)
| spl22_14 ),
inference(avatar_component_clause,[],[f262]) ).
tff(f262,plain,
( spl22_14
<=> $less(sK15,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
tff(f1120,plain,
( ( sK14 = sK15 )
| $less(sK15,0)
| ~ spl22_8
| ~ spl22_13
| spl22_15
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1119,f268]) ).
tff(f1119,plain,
( $less(sK14,0)
| $less(sK15,0)
| ( sK14 = sK15 )
| ~ spl22_8
| ~ spl22_13
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1118,f209]) ).
tff(f209,plain,
( $less(sK15,sF18)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f208,plain,
( spl22_8
<=> $less(sK15,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
tff(f1118,plain,
( ~ $less(sK15,sF18)
| ( sK14 = sK15 )
| $less(sK15,0)
| $less(sK14,0)
| ~ spl22_13
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1111,f259]) ).
tff(f1111,plain,
( ~ $less(sK14,sF18)
| ~ $less(sK15,sF18)
| $less(sK15,0)
| ( sK14 = sK15 )
| $less(sK14,0)
| ~ spl22_16 ),
inference(resolution,[],[f1051,f166]) ).
tff(f166,plain,
! [X8: $int,X7: $int] :
( ~ same1(sK13,X8,X7)
| ( X7 = X8 )
| ~ $less(X8,sF18)
| $less(X7,0)
| ~ $less(X7,sF18)
| $less(X8,0) ),
inference(definition_folding,[],[f124,f158,f158]) ).
tff(f158,plain,
$product(sK12,sK12) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
tff(f124,plain,
! [X8: $int,X7: $int] :
( $less(X7,0)
| ~ $less(X7,$product(sK12,sK12))
| ~ same1(sK13,X8,X7)
| ~ $less(X8,$product(sK12,sK12))
| ( X7 = X8 )
| $less(X8,0) ),
inference(cnf_transformation,[],[f84]) ).
tff(f1051,plain,
( same1(sK13,sK14,sK15)
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f272,plain,
( spl22_16
<=> same1(sK13,sK14,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
tff(f276,plain,
( ~ path1(sK11,sK14,sK15)
| spl22_17 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f275,plain,
( spl22_17
<=> path1(sK11,sK14,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
tff(f1129,plain,
( ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16
| spl22_19 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
tff(f1128,plain,
( $false
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16
| spl22_19 ),
inference(subsumption_resolution,[],[f1123,f293]) ).
tff(f1123,plain,
( same1(sK13,sK14,sK14)
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16 ),
inference(backward_demodulation,[],[f1051,f1121]) ).
tff(f1127,plain,
( spl22_18
| ~ spl22_8
| ~ spl22_13
| spl22_14
| spl22_15
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f1121,f272,f267,f262,f258,f208,f288]) ).
tff(f1104,plain,
( ~ spl22_8
| spl22_14
| ~ spl22_24
| spl22_33
| ~ spl22_35 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
tff(f1103,plain,
( $false
| ~ spl22_8
| spl22_14
| ~ spl22_24
| spl22_33
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f1093,f1071]) ).
tff(f1093,plain,
( same1(sK13,0,0)
| ~ spl22_8
| spl22_14
| ~ spl22_24
| ~ spl22_35 ),
inference(backward_demodulation,[],[f1079,f1092]) ).
tff(f1092,plain,
( ( 0 = sK15 )
| ~ spl22_8
| spl22_14
| ~ spl22_24
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f1091,f263]) ).
tff(f1091,plain,
( $less(sK15,0)
| ( 0 = sK15 )
| ~ spl22_8
| ~ spl22_24
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f1090,f209]) ).
tff(f1090,plain,
( ( 0 = sK15 )
| ~ $less(sK15,sF18)
| $less(sK15,0)
| ~ spl22_24
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f1085,f375]) ).
tff(f1085,plain,
( ( 0 = sK15 )
| ~ $less(0,sF18)
| ~ $less(sK15,sF18)
| $less(sK15,0)
| ~ spl22_35 ),
inference(evaluation,[],[f1082]) ).
tff(f1082,plain,
( ~ $less(sK15,sF18)
| ( 0 = sK15 )
| $less(0,0)
| ~ $less(0,sF18)
| $less(sK15,0)
| ~ spl22_35 ),
inference(resolution,[],[f1079,f166]) ).
tff(f1079,plain,
( same1(sK13,0,sK15)
| ~ spl22_35 ),
inference(avatar_component_clause,[],[f1078]) ).
tff(f1078,plain,
( spl22_35
<=> same1(sK13,0,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
tff(f1102,plain,
( ~ spl22_8
| spl22_14
| ~ spl22_24
| spl22_34
| ~ spl22_35 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
tff(f1101,plain,
( $false
| ~ spl22_8
| spl22_14
| ~ spl22_24
| spl22_34
| ~ spl22_35 ),
inference(subsumption_resolution,[],[f1094,f195]) ).
tff(f1094,plain,
( ~ path1(sK11,0,0)
| ~ spl22_8
| spl22_14
| ~ spl22_24
| spl22_34
| ~ spl22_35 ),
inference(backward_demodulation,[],[f1075,f1092]) ).
tff(f1100,plain,
( spl22_36
| ~ spl22_8
| spl22_14
| ~ spl22_24
| ~ spl22_35 ),
inference(avatar_split_clause,[],[f1092,f1078,f374,f262,f208,f1098]) ).
tff(f1098,plain,
( spl22_36
<=> ( 0 = sK15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
tff(f1080,plain,
( spl22_35
| ~ spl22_16
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f1068,f368,f272,f1078]) ).
tff(f1068,plain,
( same1(sK13,0,sK15)
| ~ spl22_16
| ~ spl22_23 ),
inference(forward_demodulation,[],[f1051,f369]) ).
tff(f369,plain,
( ( 0 = sK14 )
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f368]) ).
tff(f1076,plain,
( ~ spl22_34
| spl22_17
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f1067,f368,f275,f1074]) ).
tff(f1067,plain,
( ~ path1(sK11,0,sK15)
| spl22_17
| ~ spl22_23 ),
inference(forward_demodulation,[],[f276,f369]) ).
tff(f1072,plain,
( ~ spl22_33
| spl22_19
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f1057,f368,f292,f1070]) ).
tff(f1057,plain,
( ~ same1(sK13,0,0)
| spl22_19
| ~ spl22_23 ),
inference(backward_demodulation,[],[f293,f369]) ).
tff(f1052,plain,
( spl22_7
| spl22_17
| spl22_16
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f278,f202,f192,f188,f272,f275,f205]) ).
tff(f205,plain,
( spl22_7
<=> $less(sF18,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
tff(f278,plain,
( path1(sK11,sK14,sK15)
| $less(sF18,1)
| same1(sK13,sK14,sK15)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f249,f253]) ).
tff(f249,plain,
( path1(sK11,sK14,sK15)
| $less(sF18,1)
| ( sF18 != sF21 )
| same1(sK13,sK14,sK15)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f228,f189]) ).
tff(f228,plain,
( ( sF18 != sF21 )
| same1(sK13,sK14,sK15)
| path1(sK11,sK14,sK15)
| $less(sF19,1)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f227,f193]) ).
tff(f227,plain,
( path1(sK11,sK14,sK15)
| ( sF20 != sF21 )
| $less(sF19,1)
| same1(sK13,sK14,sK15)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f174,f193]) ).
tff(f174,plain,
( ( sF20 != sF21 )
| $less(sF19,1)
| path1(sK11,sK14,sK15)
| ( sF18 != sF20 )
| same1(sK13,sK14,sK15) ),
inference(definition_folding,[],[f117,f168,f160,f162,f160,f162,f158]) ).
tff(f162,plain,
size1(sK13) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
tff(f160,plain,
num1(sK13) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
tff(f168,plain,
$sum(sF19,sK10) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
tff(f117,plain,
( path1(sK11,sK14,sK15)
| same1(sK13,sK14,sK15)
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f1050,plain,
( ~ spl22_13
| spl22_15
| spl22_19
| ~ spl22_31 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
tff(f1049,plain,
( $false
| ~ spl22_13
| spl22_15
| spl22_19
| ~ spl22_31 ),
inference(subsumption_resolution,[],[f1048,f268]) ).
tff(f1048,plain,
( $less(sK14,0)
| ~ spl22_13
| spl22_19
| ~ spl22_31 ),
inference(subsumption_resolution,[],[f1046,f259]) ).
tff(f1046,plain,
( ~ $less(sK14,sF18)
| $less(sK14,0)
| spl22_19
| ~ spl22_31 ),
inference(duplicate_literal_removal,[],[f1042]) ).
tff(f1042,plain,
( ~ $less(sK14,sF18)
| $less(sK14,0)
| ~ $less(sK14,sF18)
| $less(sK14,0)
| spl22_19
| ~ spl22_31 ),
inference(resolution,[],[f1022,f293]) ).
tff(f1022,plain,
( ! [X0: $int,X1: $int] :
( same1(sK13,X1,X0)
| ~ $less(X0,sF18)
| $less(X1,0)
| $less(X0,0)
| ~ $less(X1,sF18) )
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f1021]) ).
tff(f1021,plain,
( spl22_31
<=> ! [X0: $int,X1: $int] :
( same1(sK13,X1,X0)
| ~ $less(X0,sF18)
| $less(X0,0)
| $less(X1,0)
| ~ $less(X1,sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
tff(f1026,plain,
( spl22_31
| ~ spl22_32
| ~ spl22_10
| ~ spl22_11 ),
inference(avatar_split_clause,[],[f706,f237,f232,f1024,f1021]) ).
tff(f706,plain,
( ! [X0: $int,X1: $int] :
( ( 1 != sF18 )
| same1(sK13,X1,X0)
| ~ $less(X1,sF18)
| $less(X1,0)
| $less(X0,0)
| ~ $less(X0,sF18) )
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f705,f238]) ).
tff(f705,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,sF18)
| $less(X0,0)
| ( 1 != sF18 )
| $less(X1,0)
| same1(sK13,X1,X0)
| ~ $less(X1,size1(sK13)) )
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f704,f238]) ).
tff(f704,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,size1(sK13))
| $less(X0,0)
| ~ $less(X1,size1(sK13))
| same1(sK13,X1,X0)
| $less(X1,0)
| ( 1 != sF18 ) )
| ~ spl22_10 ),
inference(superposition,[],[f147,f233]) ).
tff(f147,plain,
! [X2: $int,X0: uf_pure1,X1: $int] :
( ( 1 != num1(X0) )
| ~ $less(X1,size1(X0))
| $less(X1,0)
| $less(X2,0)
| ~ $less(X2,size1(X0))
| same1(X0,X2,X1) ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: uf_pure1] :
( ( 1 != num1(X0) )
| ! [X2: $int,X1: $int] :
( $less(X2,0)
| $less(X1,0)
| ~ $less(X2,size1(X0))
| ~ $less(X1,size1(X0))
| same1(X0,X2,X1) ) ),
inference(flattening,[],[f73]) ).
tff(f73,plain,
! [X0: uf_pure1] :
( ! [X2: $int,X1: $int] :
( same1(X0,X2,X1)
| ~ $less(X1,size1(X0))
| $less(X1,0)
| ~ $less(X2,size1(X0))
| $less(X2,0) )
| ( 1 != num1(X0) ) ),
inference(ennf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: uf_pure1] :
( ( 1 = num1(X0) )
=> ! [X2: $int,X1: $int] :
( ( $less(X2,size1(X0))
& ~ $less(X2,0) )
=> ( ( $less(X1,size1(X0))
& ~ $less(X1,0) )
=> same1(X0,X2,X1) ) ) ),
inference(rectify,[],[f30]) ).
tff(f30,plain,
! [X6: uf_pure1] :
( ( num1(X6) = 1 )
=> ! [X7: $int,X1: $int] :
( ( $less(X1,size1(X6))
& ~ $less(X1,0) )
=> ( ( ~ $less(X7,0)
& $less(X7,size1(X6)) )
=> same1(X6,X1,X7) ) ) ),
inference(theory_normalization,[],[f17]) ).
tff(f17,axiom,
! [X6: uf_pure1] :
( ( num1(X6) = 1 )
=> ! [X7: $int,X1: $int] :
( ( $less(X1,size1(X6))
& $lesseq(0,X1) )
=> ( ( $lesseq(0,X7)
& $less(X7,size1(X6)) )
=> same1(X6,X1,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f951,plain,
( spl22_29
| spl22_30
| ~ spl22_13
| ~ spl22_25
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f940,f457,f444,f258,f949,f946]) ).
tff(f946,plain,
( spl22_29
<=> ! [X0: $int] :
( ~ $less(X0,1)
| $less($sum(X0,1),sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
tff(f949,plain,
( spl22_30
<=> ( 1 = sK14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
tff(f940,plain,
( ! [X0: $int] :
( ( 1 = sK14 )
| ~ $less(X0,1)
| $less($sum(X0,1),sF18) )
| ~ spl22_13
| ~ spl22_25
| ~ spl22_27 ),
inference(backward_subsumption_demodulation,[],[f634,f577]) ).
tff(f577,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sF18)
| ~ $less(X0,1)
| ( 1 = $sum(X0,1) ) )
| ~ spl22_27 ),
inference(resolution,[],[f487,f50]) ).
tff(f634,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sF18)
| ~ $less(X0,1)
| ( $sum(X0,1) = sK14 ) )
| ~ spl22_13
| ~ spl22_25 ),
inference(resolution,[],[f588,f50]) ).
tff(f588,plain,
( ! [X0: $int] :
( $less(1,X0)
| ( sK14 = X0 )
| $less(X0,sF18) )
| ~ spl22_13
| ~ spl22_25 ),
inference(resolution,[],[f384,f445]) ).
tff(f445,plain,
( $less(1,sK14)
| ~ spl22_25 ),
inference(avatar_component_clause,[],[f444]) ).
tff(f703,plain,
( spl22_26
| spl22_28
| ~ spl22_20
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f662,f365,f357,f701,f447]) ).
tff(f701,plain,
( spl22_28
<=> ! [X0: $int] :
( $less(X0,sK14)
| $less(1,X0)
| ( 0 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
tff(f662,plain,
( ! [X0: $int] :
( $less(X0,sK14)
| $less(0,sK12)
| ( 0 = X0 )
| $less(1,X0) )
| ~ spl22_20
| ~ spl22_22 ),
inference(evaluation,[],[f658]) ).
tff(f658,plain,
( ! [X0: $int] :
( ( 0 = X0 )
| $less(0,sK12)
| ( 0 = 1 )
| $less(X0,sK14)
| $less(1,X0) )
| ~ spl22_20
| ~ spl22_22 ),
inference(resolution,[],[f491,f378]) ).
tff(f491,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,0)
| $less(X1,X0)
| ( 0 = X0 )
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f379,f39]) ).
tff(f379,plain,
( ! [X0: $int] :
( $less(0,X0)
| $less(X0,sK14)
| ( 0 = X0 ) )
| ~ spl22_22 ),
inference(resolution,[],[f372,f40]) ).
tff(f372,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK14) )
| ~ spl22_22 ),
inference(resolution,[],[f366,f39]) ).
tff(f459,plain,
( spl22_27
| ~ spl22_13
| ~ spl22_25 ),
inference(avatar_split_clause,[],[f452,f444,f258,f457]) ).
tff(f452,plain,
( $less(1,sF18)
| ~ spl22_13
| ~ spl22_25 ),
inference(resolution,[],[f445,f319]) ).
tff(f449,plain,
( spl22_25
| spl22_26
| ~ spl22_20
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f401,f365,f357,f447,f444]) ).
tff(f401,plain,
( $less(1,sK14)
| $less(0,sK12)
| ~ spl22_20
| ~ spl22_22 ),
inference(evaluation,[],[f397]) ).
tff(f397,plain,
( $less(0,sK12)
| ( 0 = 1 )
| $less(1,sK14)
| ~ spl22_20
| ~ spl22_22 ),
inference(resolution,[],[f378,f372]) ).
tff(f376,plain,
( spl22_24
| ~ spl22_13
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f371,f365,f258,f374]) ).
tff(f371,plain,
( $less(0,sF18)
| ~ spl22_13
| ~ spl22_22 ),
inference(resolution,[],[f366,f319]) ).
tff(f370,plain,
( spl22_22
| spl22_23
| spl22_15 ),
inference(avatar_split_clause,[],[f325,f267,f368,f365]) ).
tff(f325,plain,
( $less(0,sK14)
| ( 0 = sK14 )
| spl22_15 ),
inference(resolution,[],[f40,f268]) ).
tff(f362,plain,
( spl22_20
| spl22_21
| spl22_1 ),
inference(avatar_split_clause,[],[f324,f176,f360,f357]) ).
tff(f324,plain,
( $less(1,sK12)
| ( 1 = sK12 )
| spl22_1 ),
inference(resolution,[],[f40,f177]) ).
tff(f294,plain,
( ~ spl22_19
| spl22_16
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f284,f275,f272,f292]) ).
tff(f284,plain,
( ~ same1(sK13,sK14,sK14)
| spl22_16
| ~ spl22_17 ),
inference(backward_demodulation,[],[f273,f282]) ).
tff(f282,plain,
( ( sK14 = sK15 )
| ~ spl22_17 ),
inference(resolution,[],[f280,f130]) ).
tff(f130,plain,
! [X3: $int,X4: $int] :
( ~ path1(sK11,X3,X4)
| ( X3 = X4 ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f280,plain,
( path1(sK11,sK14,sK15)
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f273,plain,
( ~ same1(sK13,sK14,sK15)
| spl22_16 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f290,plain,
( spl22_18
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f282,f275,f288]) ).
tff(f281,plain,
( spl22_7
| spl22_17
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| spl22_16 ),
inference(avatar_split_clause,[],[f279,f272,f202,f192,f188,f275,f205]) ).
tff(f279,plain,
( $less(sF18,1)
| path1(sK11,sK14,sK15)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| spl22_16 ),
inference(subsumption_resolution,[],[f278,f273]) ).
tff(f277,plain,
( spl22_7
| ~ spl22_16
| ~ spl22_17
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f270,f202,f192,f188,f275,f272,f205]) ).
tff(f270,plain,
( ~ same1(sK13,sK14,sK15)
| ~ path1(sK11,sK14,sK15)
| $less(sF18,1)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f226,f253]) ).
tff(f226,plain,
( $less(sF18,1)
| ~ same1(sK13,sK14,sK15)
| ~ path1(sK11,sK14,sK15)
| ( sF18 != sF21 )
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f225,f193]) ).
tff(f225,plain,
( ( sF20 != sF21 )
| ~ path1(sK11,sK14,sK15)
| ~ same1(sK13,sK14,sK15)
| $less(sF18,1)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f224,f189]) ).
tff(f224,plain,
( $less(sF19,1)
| ~ same1(sK13,sK14,sK15)
| ~ path1(sK11,sK14,sK15)
| ( sF20 != sF21 )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f173,f193]) ).
tff(f173,plain,
( ~ same1(sK13,sK14,sK15)
| ~ path1(sK11,sK14,sK15)
| ( sF18 != sF20 )
| ( sF20 != sF21 )
| $less(sF19,1) ),
inference(definition_folding,[],[f118,f168,f160,f162,f160,f162,f158]) ).
tff(f118,plain,
( ~ path1(sK11,sK14,sK15)
| ~ same1(sK13,sK14,sK15)
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f269,plain,
( ~ spl22_15
| spl22_7
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f265,f202,f192,f188,f205,f267]) ).
tff(f265,plain,
( $less(sF18,1)
| ~ $less(sK14,0)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f252,f253]) ).
tff(f252,plain,
( ( sF18 != sF21 )
| $less(sF18,1)
| ~ $less(sK14,0)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f212,f189]) ).
tff(f212,plain,
( $less(sF19,1)
| ( sF18 != sF21 )
| ~ $less(sK14,0)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f211,f193]) ).
tff(f211,plain,
( ( sF20 != sF21 )
| ~ $less(sK14,0)
| $less(sF19,1)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f170,f193]) ).
tff(f170,plain,
( ( sF20 != sF21 )
| ( sF18 != sF20 )
| $less(sF19,1)
| ~ $less(sK14,0) ),
inference(definition_folding,[],[f121,f168,f160,f162,f160,f162,f158]) ).
tff(f121,plain,
( ~ $less(sK14,0)
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f264,plain,
( ~ spl22_14
| spl22_7
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f256,f202,f192,f188,f205,f262]) ).
tff(f256,plain,
( ~ $less(sK15,0)
| $less(sF18,1)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f251,f253]) ).
tff(f251,plain,
( $less(sF18,1)
| ( sF18 != sF21 )
| ~ $less(sK15,0)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f216,f189]) ).
tff(f216,plain,
( ( sF18 != sF21 )
| ~ $less(sK15,0)
| $less(sF19,1)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f215,f193]) ).
tff(f215,plain,
( ( sF20 != sF21 )
| ~ $less(sK15,0)
| $less(sF19,1)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f172,f193]) ).
tff(f172,plain,
( $less(sF19,1)
| ~ $less(sK15,0)
| ( sF20 != sF21 )
| ( sF18 != sF20 ) ),
inference(definition_folding,[],[f119,f168,f160,f162,f160,f162,f158]) ).
tff(f119,plain,
( ~ $less(sK15,0)
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f260,plain,
( spl22_7
| spl22_13
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f255,f202,f192,f188,f258,f205]) ).
tff(f255,plain,
( $less(sF18,1)
| $less(sK14,sF18)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f250,f253]) ).
tff(f250,plain,
( $less(sF18,1)
| ( sF18 != sF21 )
| $less(sK14,sF18)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f214,f189]) ).
tff(f214,plain,
( $less(sK14,sF18)
| $less(sF19,1)
| ( sF18 != sF21 )
| ~ spl22_5 ),
inference(forward_demodulation,[],[f213,f193]) ).
tff(f213,plain,
( ( sF20 != sF21 )
| $less(sF19,1)
| $less(sK14,sF18)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f171,f193]) ).
tff(f171,plain,
( ( sF20 != sF21 )
| $less(sK14,sF18)
| ( sF18 != sF20 )
| $less(sF19,1) ),
inference(definition_folding,[],[f120,f168,f160,f162,f160,f162,f158,f158]) ).
tff(f120,plain,
( $less(sK14,$product(sK12,sK12))
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f254,plain,
( spl22_6
| ~ spl22_2
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f246,f188,f180,f202]) ).
tff(f180,plain,
( spl22_2
<=> ( 0 = sK10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
tff(f246,plain,
( ( sF18 = sF21 )
| ~ spl22_2
| ~ spl22_4 ),
inference(forward_demodulation,[],[f245,f189]) ).
tff(f245,plain,
( ( sF19 = sF21 )
| ~ spl22_2 ),
inference(evaluation,[],[f244]) ).
tff(f244,plain,
( ( sF21 = $sum(sF19,0) )
| ~ spl22_2 ),
inference(forward_demodulation,[],[f168,f181]) ).
tff(f181,plain,
( ( 0 = sK10 )
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f248,plain,
( ~ spl22_2
| ~ spl22_4
| spl22_6 ),
inference(avatar_contradiction_clause,[],[f247]) ).
tff(f247,plain,
( $false
| ~ spl22_2
| ~ spl22_4
| spl22_6 ),
inference(subsumption_resolution,[],[f246,f203]) ).
tff(f203,plain,
( ( sF18 != sF21 )
| spl22_6 ),
inference(avatar_component_clause,[],[f202]) ).
tff(f243,plain,
spl22_12,
inference(avatar_split_clause,[],[f158,f241]) ).
tff(f239,plain,
( spl22_11
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f235,f192,f237]) ).
tff(f235,plain,
( ( size1(sK13) = sF18 )
| ~ spl22_5 ),
inference(forward_demodulation,[],[f162,f193]) ).
tff(f234,plain,
( spl22_10
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f230,f188,f232]) ).
tff(f230,plain,
( ( num1(sK13) = sF18 )
| ~ spl22_4 ),
inference(forward_demodulation,[],[f160,f189]) ).
tff(f221,plain,
~ spl22_9,
inference(avatar_split_clause,[],[f156,f219]) ).
tff(f219,plain,
( spl22_9
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
tff(f156,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f210,plain,
( ~ spl22_6
| spl22_7
| spl22_8
| ~ spl22_4
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f200,f192,f188,f208,f205,f202]) ).
tff(f200,plain,
( $less(sF18,1)
| ( sF18 != sF21 )
| $less(sK15,sF18)
| ~ spl22_4
| ~ spl22_5 ),
inference(forward_demodulation,[],[f199,f189]) ).
tff(f199,plain,
( ( sF18 != sF21 )
| $less(sK15,sF18)
| $less(sF19,1)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f198,f193]) ).
tff(f198,plain,
( ( sF20 != sF21 )
| $less(sK15,sF18)
| $less(sF19,1)
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f169,f193]) ).
tff(f169,plain,
( ( sF18 != sF20 )
| $less(sK15,sF18)
| $less(sF19,1)
| ( sF20 != sF21 ) ),
inference(definition_folding,[],[f122,f168,f160,f162,f160,f162,f158,f158]) ).
tff(f122,plain,
( $less(sK15,$product(sK12,sK12))
| ( $product(sK12,sK12) != size1(sK13) )
| $less(num1(sK13),1)
| ( size1(sK13) != $sum(num1(sK13),sK10) ) ),
inference(cnf_transformation,[],[f84]) ).
tff(f194,plain,
spl22_5,
inference(avatar_split_clause,[],[f163,f192]) ).
tff(f163,plain,
sF18 = sF20,
inference(definition_folding,[],[f127,f162,f158]) ).
tff(f127,plain,
$product(sK12,sK12) = size1(sK13),
inference(cnf_transformation,[],[f84]) ).
tff(f190,plain,
spl22_4,
inference(avatar_split_clause,[],[f161,f188]) ).
tff(f161,plain,
sF18 = sF19,
inference(definition_folding,[],[f128,f160,f158]) ).
tff(f128,plain,
$product(sK12,sK12) = num1(sK13),
inference(cnf_transformation,[],[f84]) ).
tff(f186,plain,
~ spl22_3,
inference(avatar_split_clause,[],[f159,f184]) ).
tff(f159,plain,
~ $less(sF18,0),
inference(definition_folding,[],[f132,f158]) ).
tff(f132,plain,
~ $less($product(sK12,sK12),0),
inference(cnf_transformation,[],[f84]) ).
tff(f182,plain,
spl22_2,
inference(avatar_split_clause,[],[f133,f180]) ).
tff(f133,plain,
0 = sK10,
inference(cnf_transformation,[],[f84]) ).
tff(f178,plain,
~ spl22_1,
inference(avatar_split_clause,[],[f131,f176]) ).
tff(f131,plain,
~ $less(sK12,1),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW653_2 : TPTP v8.2.0. Released v6.1.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.11/0.34 % Computer : n023.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Jun 19 05:52:24 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.36 This is a TF0_THM_EQU_ARI problem
% 0.11/0.36 Running first-order theorem proving
% 0.11/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26555)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26559)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26558)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26560)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26557)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26561)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.20/0.43 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26556)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.20/0.43 % (26558)Instruction limit reached!
% 0.20/0.43 % (26558)------------------------------
% 0.20/0.43 % (26558)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (26558)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (26558)Termination reason: Time limit
% 0.20/0.43 % (26558)Termination phase: Preprocessing 1
% 0.20/0.43
% 0.20/0.43 % (26558)Memory used [KB]: 752
% 0.20/0.43 % (26558)Time elapsed: 0.003 s
% 0.20/0.43 % (26558)Instructions burned: 2 (million)
% 0.20/0.43 % (26557)Instruction limit reached!
% 0.20/0.43 % (26557)------------------------------
% 0.20/0.43 % (26557)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (26557)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (26557)Termination reason: Time limit
% 0.20/0.43 % (26557)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (26557)Memory used [KB]: 968
% 0.20/0.43 % (26557)Time elapsed: 0.007 s
% 0.20/0.43 % (26557)Instructions burned: 8 (million)
% 0.20/0.44 % (26560)Instruction limit reached!
% 0.20/0.44 % (26560)------------------------------
% 0.20/0.44 % (26560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (26560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (26560)Termination reason: Time limit
% 0.20/0.44 % (26560)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (26560)Memory used [KB]: 1017
% 0.20/0.44 % (26560)Time elapsed: 0.011 s
% 0.20/0.44 % (26560)Instructions burned: 16 (million)
% 0.20/0.44 % (26561)Instruction limit reached!
% 0.20/0.44 % (26561)------------------------------
% 0.20/0.44 % (26561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (26561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (26561)Termination reason: Time limit
% 0.20/0.44 % (26561)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (26561)Memory used [KB]: 1257
% 0.20/0.44 % (26561)Time elapsed: 0.019 s
% 0.20/0.44 % (26561)Instructions burned: 32 (million)
% 0.20/0.45 % (26556)Instruction limit reached!
% 0.20/0.45 % (26556)------------------------------
% 0.20/0.45 % (26556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45 % (26556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45 % (26556)Termination reason: Time limit
% 0.20/0.45 % (26556)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (26556)Memory used [KB]: 1242
% 0.20/0.45 % (26556)Time elapsed: 0.021 s
% 0.20/0.45 % (26556)Instructions burned: 34 (million)
% 0.20/0.45 % (26559)Instruction limit reached!
% 0.20/0.45 % (26559)------------------------------
% 0.20/0.45 % (26559)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45 % (26559)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45 % (26559)Termination reason: Time limit
% 0.20/0.45 % (26559)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (26559)Memory used [KB]: 1439
% 0.20/0.45 % (26559)Time elapsed: 0.024 s
% 0.20/0.45 % (26559)Instructions burned: 38 (million)
% 0.20/0.48 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (26562)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.49 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (26563)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.49 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (26564)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (26564)Instruction limit reached!
% 0.20/0.49 % (26564)------------------------------
% 0.20/0.49 % (26564)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (26564)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (26564)Termination reason: Time limit
% 0.20/0.49 % (26564)Termination phase: Including theory axioms
% 0.20/0.49
% 0.20/0.49 % (26564)Memory used [KB]: 747
% 0.20/0.49 % (26564)Time elapsed: 0.002 s
% 0.20/0.49 % (26564)Instructions burned: 2 (million)
% 0.20/0.50 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (26565)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.50 % (26563)Instruction limit reached!
% 0.20/0.50 % (26563)------------------------------
% 0.20/0.50 % (26563)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (26563)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (26563)Termination reason: Time limit
% 0.20/0.50 % (26563)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (26563)Memory used [KB]: 1263
% 0.20/0.50 % (26563)Time elapsed: 0.016 s
% 0.20/0.50 % (26563)Instructions burned: 26 (million)
% 0.20/0.50 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (26567)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (26567)Instruction limit reached!
% 0.20/0.50 % (26567)------------------------------
% 0.20/0.50 % (26567)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (26567)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (26567)Termination reason: Time limit
% 0.20/0.50 % (26567)Termination phase: Naming
% 0.20/0.50
% 0.20/0.50 % (26567)Memory used [KB]: 845
% 0.20/0.50 % (26567)Time elapsed: 0.003 s
% 0.20/0.50 % (26567)Instructions burned: 3 (million)
% 0.20/0.51 % (26562)Instruction limit reached!
% 0.20/0.51 % (26562)------------------------------
% 0.20/0.51 % (26562)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51 % (26562)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51 % (26562)Termination reason: Time limit
% 0.20/0.51 % (26562)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (26562)Memory used [KB]: 1299
% 0.20/0.51 % (26562)Time elapsed: 0.023 s
% 0.20/0.51 % (26562)Instructions burned: 36 (million)
% 0.20/0.51 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (26566)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51 % (26566)Instruction limit reached!
% 0.20/0.51 % (26566)------------------------------
% 0.20/0.51 % (26566)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51 % (26566)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51 % (26566)Termination reason: Time limit
% 0.20/0.51 % (26566)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (26566)Memory used [KB]: 872
% 0.20/0.51 % (26566)Time elapsed: 0.004 s
% 0.20/0.51 % (26566)Instructions burned: 5 (million)
% 0.20/0.52 % (26565)Instruction limit reached!
% 0.20/0.52 % (26565)------------------------------
% 0.20/0.52 % (26565)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (26565)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (26565)Termination reason: Time limit
% 0.20/0.52 % (26565)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26565)Memory used [KB]: 1221
% 0.20/0.52 % (26565)Time elapsed: 0.022 s
% 0.20/0.52 % (26565)Instructions burned: 35 (million)
% 0.20/0.55 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.55 % (26568)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.56 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.56 % (26569)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.20/0.56 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.56 % (26570)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.56 % (26570)Instruction limit reached!
% 0.20/0.56 % (26570)------------------------------
% 0.20/0.56 % (26570)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (26570)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (26570)Termination reason: Time limit
% 0.20/0.56 % (26570)Termination phase: Preprocessing 1
% 0.20/0.56 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.56 % (26571)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.56
% 0.20/0.56 % (26570)Memory used [KB]: 752
% 0.20/0.56 % (26570)Time elapsed: 0.003 s
% 0.20/0.56 % (26570)Instructions burned: 2 (million)
% 0.20/0.56 % (26568)Instruction limit reached!
% 0.20/0.56 % (26568)------------------------------
% 0.20/0.56 % (26568)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (26568)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (26568)Termination reason: Time limit
% 0.20/0.56 % (26568)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26568)Memory used [KB]: 1077
% 0.20/0.56 % (26568)Time elapsed: 0.014 s
% 0.20/0.56 % (26568)Instructions burned: 22 (million)
% 0.20/0.56 % (26571)Instruction limit reached!
% 0.20/0.56 % (26571)------------------------------
% 0.20/0.56 % (26571)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (26571)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (26571)Termination reason: Time limit
% 0.20/0.56 % (26571)Termination phase: Clausification
% 0.20/0.56
% 0.20/0.56 % (26571)Memory used [KB]: 860
% 0.20/0.56 % (26571)Time elapsed: 0.003 s
% 0.20/0.56 % (26571)Instructions burned: 3 (million)
% 0.20/0.57 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.57 % (26572)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.20/0.58 % (26554)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.58 % (26573)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.59/0.58 % (26573)Instruction limit reached!
% 1.59/0.58 % (26573)------------------------------
% 1.59/0.58 % (26573)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.58 % (26573)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.58 % (26573)Termination reason: Time limit
% 1.59/0.58 % (26573)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (26573)Memory used [KB]: 1017
% 1.59/0.58 % (26573)Time elapsed: 0.011 s
% 1.59/0.58 % (26573)Instructions burned: 15 (million)
% 1.59/0.59 % (26569)Instruction limit reached!
% 1.59/0.59 % (26569)------------------------------
% 1.59/0.59 % (26569)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.59 % (26569)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.59 % (26569)Termination reason: Time limit
% 1.59/0.59 % (26569)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (26569)Memory used [KB]: 1455
% 1.59/0.59 % (26569)Time elapsed: 0.030 s
% 1.59/0.59 % (26569)Instructions burned: 51 (million)
% 1.72/0.60 % (26572)Instruction limit reached!
% 1.72/0.60 % (26572)------------------------------
% 1.72/0.60 % (26572)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.60 % (26572)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.60 % (26572)Termination reason: Time limit
% 1.72/0.60 % (26572)Termination phase: Saturation
% 1.72/0.60
% 1.72/0.60 % (26572)Memory used [KB]: 1356
% 1.72/0.60 % (26572)Time elapsed: 0.035 s
% 1.72/0.60 % (26572)Instructions burned: 49 (million)
% 1.72/0.62 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.62 % (26575)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.72/0.62 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.62 % (26574)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.72/0.62 % (26574)Instruction limit reached!
% 1.72/0.62 % (26574)------------------------------
% 1.72/0.62 % (26574)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.62 % (26574)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.62 % (26574)Termination reason: Time limit
% 1.72/0.62 % (26574)Termination phase: Preprocessing 3
% 1.72/0.62
% 1.72/0.62 % (26574)Memory used [KB]: 853
% 1.72/0.62 % (26574)Time elapsed: 0.004 s
% 1.72/0.62 % (26574)Instructions burned: 3 (million)
% 1.72/0.62 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.62 % (26576)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.72/0.63 % (26575)Instruction limit reached!
% 1.72/0.63 % (26575)------------------------------
% 1.72/0.63 % (26575)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.63 % (26575)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.63 % (26575)Termination reason: Time limit
% 1.72/0.63 % (26575)Termination phase: Saturation
% 1.72/0.63
% 1.72/0.63 % (26575)Memory used [KB]: 1031
% 1.72/0.63 % (26575)Time elapsed: 0.011 s
% 1.72/0.63 % (26575)Instructions burned: 16 (million)
% 1.72/0.63 % (26576)Instruction limit reached!
% 1.72/0.63 % (26576)------------------------------
% 1.72/0.63 % (26576)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.63 % (26576)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.63 % (26576)Termination reason: Time limit
% 1.72/0.63 % (26576)Termination phase: Saturation
% 1.72/0.63
% 1.72/0.63 % (26576)Memory used [KB]: 1051
% 1.72/0.63 % (26576)Time elapsed: 0.013 s
% 1.72/0.63 % (26576)Instructions burned: 22 (million)
% 1.86/0.64 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.64 % (26577)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.86/0.64 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.64 % (26578)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.86/0.65 % (26555)First to succeed.
% 1.86/0.66 % (26555)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26554"
% 1.86/0.66 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.66 % (26579)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.86/0.66 % (26554)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.66 % (26555)Refutation found. Thanks to Tanya!
% 1.86/0.66 % SZS status Theorem for theBenchmark
% 1.86/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.66 % (26555)------------------------------
% 1.86/0.66 % (26555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.66 % (26555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.66 % (26555)Termination reason: Refutation
% 1.86/0.66
% 1.86/0.66 % (26555)Memory used [KB]: 2947
% 1.86/0.66 % (26555)Time elapsed: 0.219 s
% 1.86/0.66 % (26555)Instructions burned: 563 (million)
% 1.86/0.66 % (26555)------------------------------
% 1.86/0.66 % (26555)------------------------------
% 1.86/0.66 % (26554)Success in time 0.282 s
%------------------------------------------------------------------------------