TSTP Solution File: SWW670_2 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW670_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n021.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 18:54:01 EDT 2024
% Result : Theorem 15.64s 2.66s
% Output : Refutation 15.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 129 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 380 ( 152 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 392 ( 141 ~; 110 |; 80 &)
% ( 17 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 398 ( 113 atm; 54 fun; 152 num; 79 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 47 ( 42 usr; 16 con; 0-5 aty)
% Number of variables : 150 ( 126 !; 24 ?; 150 :)
% 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,
list_int: $tType ).
tff(type_def_10,type,
option_int: $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,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_11: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_21: ( ty * uni ) > uni ).
tff(func_def_18,type,
length1: ( ty * uni ) > $int ).
tff(func_def_21,type,
option: ty > ty ).
tff(func_def_22,type,
none: ty > uni ).
tff(func_def_23,type,
some: ( ty * uni ) > uni ).
tff(func_def_24,type,
match_option1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_25,type,
some_proj_11: ( ty * uni ) > uni ).
tff(func_def_26,type,
nth1: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
t2tb: option_int > uni ).
tff(func_def_29,type,
tb2t: uni > option_int ).
tff(func_def_30,type,
t2tb1: list_int > uni ).
tff(func_def_31,type,
tb2t1: uni > list_int ).
tff(func_def_32,type,
t2tb2: $int > uni ).
tff(func_def_33,type,
tb2t2: uni > $int ).
tff(func_def_34,type,
ref: ty > ty ).
tff(func_def_35,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_36,type,
contents: ( ty * uni ) > uni ).
tff(func_def_37,type,
hd: ( ty * uni ) > uni ).
tff(func_def_38,type,
tl: ( ty * uni ) > uni ).
tff(func_def_40,type,
sK0: list_int ).
tff(func_def_41,type,
sK1: list_int ).
tff(func_def_42,type,
sK2: $int ).
tff(func_def_43,type,
sK3: $int ).
tff(func_def_44,type,
sK4: $int ).
tff(func_def_45,type,
sK5: list_int ).
tff(func_def_46,type,
sK6: list_int > $int ).
tff(func_def_47,type,
sK7: ( list_int * $int ) > $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
zero_at1: ( list_int * $int ) > $o ).
tff(pred_def_5,type,
no_zero1: list_int > $o ).
tff(f34016,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f246,f247,f15434,f15437,f32794,f32795,f33061,f33063,f33257,f33265,f33983]) ).
tff(f33983,plain,
~ spl8_42,
inference(avatar_contradiction_clause,[],[f33982]) ).
tff(f33982,plain,
( $false
| ~ spl8_42 ),
inference(subsumption_resolution,[],[f33981,f172]) ).
tff(f172,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(cnf_transformation,[],[f92]) ).
tff(f92,plain,
! [X0: ty,X1: uni] : ~ $less(length1(X0,X1),0),
inference(rectify,[],[f57]) ).
tff(f57,plain,
! [X0: ty,X12: uni] : ~ $less(length1(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length1(X0,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f33981,plain,
( $less(length1(int,t2tb1(sK1)),0)
| ~ spl8_42 ),
inference(forward_demodulation,[],[f33902,f824]) ).
tff(f824,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum(X1,$uminus(X0))) = X1 ),
inference(superposition,[],[f489,f61]) ).
tff(f61,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f489,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f471]) ).
tff(f471,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f62,f65]) ).
tff(f65,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f62,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f33902,plain,
( $less($sum(length1(int,t2tb1(sK0)),$sum(length1(int,t2tb1(sK1)),$uminus(length1(int,t2tb1(sK0))))),0)
| ~ spl8_42 ),
inference(superposition,[],[f9793,f5041]) ).
tff(f5041,plain,
0 = $sum(sK2,$sum(length1(int,t2tb1(sK1)),$uminus(length1(int,t2tb1(sK0))))),
inference(superposition,[],[f478,f145]) ).
tff(f145,plain,
length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
? [X0: list_int,X1: list_int,X2: $int] :
( ? [X5: $int] :
( ( ~ no_zero1(X0)
| ( length1(int,t2tb1(X0)) != X2 ) )
& ( ~ zero_at1(X0,X2)
| ~ $less(X2,length1(int,t2tb1(X0)))
| $less(X2,0) )
& ( 0 = X5 )
& ? [X6: $int,X7: list_int] :
( ( X5 = X6 )
& ( tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 ) ) )
& ( tb2t1(nil(int)) != X1 )
& ( tb2t1(nil(int)) != X1 )
& ! [X3: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) )
| ~ $less(X3,X2)
| $less(X3,0) )
& ! [X4: $int] :
( ( tb2t(nth1(int,X4,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) )
| $less(X4,0) )
& ( length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) )
& ~ $less(X2,0) ),
inference(flattening,[],[f116]) ).
tff(f116,plain,
? [X0: list_int,X1: list_int,X2: $int] :
( ? [X5: $int] :
( ( ~ no_zero1(X0)
| ( length1(int,t2tb1(X0)) != X2 ) )
& ( ~ zero_at1(X0,X2)
| ~ $less(X2,length1(int,t2tb1(X0)))
| $less(X2,0) )
& ( 0 = X5 )
& ? [X6: $int,X7: list_int] :
( ( X5 = X6 )
& ( tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 ) ) )
& ( tb2t1(nil(int)) != X1 )
& ( tb2t1(nil(int)) != X1 )
& ! [X3: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) )
| ~ $less(X3,X2)
| $less(X3,0) )
& ! [X4: $int] :
( ( tb2t(nth1(int,X4,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) )
| $less(X4,0) )
& ( length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) )
& ~ $less(X2,0) ),
inference(ennf_transformation,[],[f79]) ).
tff(f79,plain,
~ ! [X0: list_int,X1: list_int,X2: $int] :
( ( ! [X3: $int] :
( ( $less(X3,X2)
& ~ $less(X3,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(X0))) ) )
& ! [X4: $int] :
( ~ $less(X4,0)
=> ( tb2t(nth1(int,X4,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X4),t2tb1(X0))) ) )
& ( length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))) )
& ~ $less(X2,0) )
=> ( ( tb2t1(nil(int)) != X1 )
=> ( ( tb2t1(nil(int)) != X1 )
=> ! [X5: $int] :
( ? [X6: $int,X7: list_int] :
( ( X5 = X6 )
& ( tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 ) )
=> ( ( 0 = X5 )
=> ( ( no_zero1(X0)
& ( length1(int,t2tb1(X0)) = X2 ) )
| ( zero_at1(X0,X2)
& $less(X2,length1(int,t2tb1(X0)))
& ~ $less(X2,0) ) ) ) ) ) ) ),
inference(rectify,[],[f55]) ).
tff(f55,plain,
~ ! [X12: list_int,X16: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $less(X15,X14)
& ~ $less(X15,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ! [X15: $int] :
( ~ $less(X15,0)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) )
& ~ $less(X14,0) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X1: $int,X2: list_int] :
( ( X1 = X17 )
& ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 ) )
=> ( ( 0 = X17 )
=> ( ( no_zero1(X12)
& ( length1(int,t2tb1(X12)) = X14 ) )
| ( zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12)))
& ~ $less(X14,0) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f54]) ).
tff(f54,negated_conjecture,
~ ! [X12: list_int,X16: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $less(X15,X14)
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ! [X15: $int] :
( $lesseq(0,X15)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) )
& $lesseq(0,X14) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X1: $int,X2: list_int] :
( ( X1 = X17 )
& ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 ) )
=> ( ( 0 = X17 )
=> ( ( no_zero1(X12)
& ( length1(int,t2tb1(X12)) = X14 ) )
| ( zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12)))
& $lesseq(0,X14) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
! [X12: list_int,X16: list_int,X14: $int] :
( ( ! [X15: $int] :
( ( $less(X15,X14)
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ! [X15: $int] :
( $lesseq(0,X15)
=> ( tb2t(nth1(int,X15,t2tb1(X16))) = tb2t(nth1(int,$sum(X14,X15),t2tb1(X12))) ) )
& ( length1(int,t2tb1(X12)) = $sum(X14,length1(int,t2tb1(X16))) )
& $lesseq(0,X14) )
=> ( ( tb2t1(nil(int)) != X16 )
=> ( ( tb2t1(nil(int)) != X16 )
=> ! [X17: $int] :
( ? [X1: $int,X2: list_int] :
( ( X1 = X17 )
& ( tb2t1(cons(int,t2tb2(X1),t2tb1(X2))) = X16 ) )
=> ( ( 0 = X17 )
=> ( ( no_zero1(X12)
& ( length1(int,t2tb1(X12)) = X14 ) )
| ( zero_at1(X12,X14)
& $less(X14,length1(int,t2tb1(X12)))
& $lesseq(0,X14) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f478,plain,
! [X0: $int,X1: $int] : ( 0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f62,f65]) ).
tff(f9793,plain,
( ! [X0: $int] : $less($sum(length1(int,t2tb1(sK0)),X0),$sum(sK2,X0))
| ~ spl8_42 ),
inference(resolution,[],[f9673,f69]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_153,[]) ).
tff(f9673,plain,
( $less(length1(int,t2tb1(sK0)),sK2)
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f9671]) ).
tff(f9671,plain,
( spl8_42
<=> $less(length1(int,t2tb1(sK0)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
tff(f33265,plain,
( spl8_5
| spl8_42
| spl8_2 ),
inference(avatar_split_clause,[],[f33262,f230,f9671,f243]) ).
tff(f243,plain,
( spl8_5
<=> ( sK2 = length1(int,t2tb1(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
tff(f230,plain,
( spl8_2
<=> $less(sK2,length1(int,t2tb1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
tff(f33262,plain,
( $less(length1(int,t2tb1(sK0)),sK2)
| ( sK2 = length1(int,t2tb1(sK0)) )
| spl8_2 ),
inference(resolution,[],[f232,f68]) ).
tff(f68,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f232,plain,
( ~ $less(sK2,length1(int,t2tb1(sK0)))
| spl8_2 ),
inference(avatar_component_clause,[],[f230]) ).
tff(f33257,plain,
( ~ spl8_4
| ~ spl8_89 ),
inference(avatar_split_clause,[],[f33237,f16179,f239]) ).
tff(f239,plain,
( spl8_4
<=> no_zero1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
tff(f16179,plain,
( spl8_89
<=> $less(sK6(sK0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_89])]) ).
tff(f33237,plain,
( ~ no_zero1(sK0)
| ~ spl8_89 ),
inference(resolution,[],[f16181,f223]) ).
tff(f223,plain,
! [X0: list_int] :
( ~ $less(sK6(X0),0)
| ~ no_zero1(X0) ),
inference(consistent_polarity_flipping,[],[f169]) ).
tff(f169,plain,
! [X0: list_int] :
( ~ $less(sK6(X0),0)
| no_zero1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: list_int] :
( no_zero1(X0)
| ? [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0) ) ),
inference(flattening,[],[f118]) ).
tff(f118,plain,
! [X0: list_int] :
( no_zero1(X0)
| ? [X1: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) )
& $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0) ) ),
inference(ennf_transformation,[],[f114]) ).
tff(f114,plain,
! [X0: list_int] :
( ! [X1: $int] :
( ( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) )
=> no_zero1(X0) ),
inference(unused_predicate_definition_removal,[],[f91]) ).
tff(f91,plain,
! [X0: list_int] :
( no_zero1(X0)
<=> ! [X1: $int] :
( ( $less(X1,length1(int,t2tb1(X0)))
& ~ $less(X1,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ) ),
inference(rectify,[],[f56]) ).
tff(f56,plain,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& ~ $less(X15,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
inference(theory_normalization,[],[f44]) ).
tff(f44,axiom,
! [X12: list_int] :
( no_zero1(X12)
<=> ! [X15: $int] :
( ( $less(X15,length1(int,t2tb1(X12)))
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f16181,plain,
( $less(sK6(sK0),0)
| ~ spl8_89 ),
inference(avatar_component_clause,[],[f16179]) ).
tff(f33063,plain,
( spl8_89
| ~ spl8_90
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f32802,f239,f16183,f16179]) ).
tff(f16183,plain,
( spl8_90
<=> $less(sK6(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_90])]) ).
tff(f32802,plain,
( ~ $less(sK6(sK0),sK2)
| $less(sK6(sK0),0)
| ~ spl8_4 ),
inference(trivial_inequality_removal,[],[f16169]) ).
tff(f16169,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(sK6(sK0),sK2)
| $less(sK6(sK0),0)
| ~ spl8_4 ),
inference(superposition,[],[f142,f10457]) ).
tff(f10457,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(sK0),t2tb1(sK0))) )
| ~ spl8_4 ),
inference(resolution,[],[f241,f221]) ).
tff(f221,plain,
! [X0: list_int] :
( ~ no_zero1(X0)
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) ) ),
inference(consistent_polarity_flipping,[],[f171]) ).
tff(f171,plain,
! [X0: list_int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) )
| no_zero1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f241,plain,
( no_zero1(sK0)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f142,plain,
! [X3: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X3,t2tb1(sK0))) )
| ~ $less(X3,sK2)
| $less(X3,0) ),
inference(cnf_transformation,[],[f117]) ).
tff(f33061,plain,
( spl8_90
| ~ spl8_4
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f33058,f243,f239,f16183]) ).
tff(f33058,plain,
( $less(sK6(sK0),sK2)
| ~ spl8_4
| ~ spl8_5 ),
inference(forward_demodulation,[],[f10459,f244]) ).
tff(f244,plain,
( ( sK2 = length1(int,t2tb1(sK0)) )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f10459,plain,
( $less(sK6(sK0),length1(int,t2tb1(sK0)))
| ~ spl8_4 ),
inference(resolution,[],[f241,f222]) ).
tff(f222,plain,
! [X0: list_int] :
( ~ no_zero1(X0)
| $less(sK6(X0),length1(int,t2tb1(X0))) ),
inference(consistent_polarity_flipping,[],[f170]) ).
tff(f170,plain,
! [X0: list_int] :
( $less(sK6(X0),length1(int,t2tb1(X0)))
| no_zero1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f32795,plain,
( spl8_1
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f20300,f5166,f226]) ).
tff(f226,plain,
( spl8_1
<=> zero_at1(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
tff(f5166,plain,
( spl8_20
<=> $less(sK7(sK0,sK2),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
tff(f20300,plain,
( ~ $less(sK7(sK0,sK2),0)
| zero_at1(sK0,sK2) ),
inference(trivial_inequality_removal,[],[f20288]) ).
tff(f20288,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(sK7(sK0,sK2),0)
| zero_at1(sK0,sK2) ),
inference(superposition,[],[f190,f9804]) ).
tff(f9804,plain,
some(int,t2tb2(0)) = nth1(int,sK2,t2tb1(sK0)),
inference(forward_demodulation,[],[f9799,f153]) ).
tff(f153,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f9799,plain,
nth1(int,sK2,t2tb1(sK0)) = t2tb(tb2t(some(int,t2tb2(0)))),
inference(superposition,[],[f153,f9030]) ).
tff(f9030,plain,
tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK2,t2tb1(sK0))),
inference(forward_demodulation,[],[f5102,f846]) ).
tff(f846,plain,
some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK1)),
inference(superposition,[],[f218,f286]) ).
tff(f286,plain,
t2tb1(sK1) = cons(int,t2tb2(0),t2tb1(sK5)),
inference(superposition,[],[f157,f285]) ).
tff(f285,plain,
sK1 = tb2t1(cons(int,t2tb2(0),t2tb1(sK5))),
inference(forward_demodulation,[],[f137,f210]) ).
tff(f210,plain,
0 = sK4,
inference(definition_unfolding,[],[f138,f141]) ).
tff(f141,plain,
0 = sK3,
inference(cnf_transformation,[],[f117]) ).
tff(f138,plain,
sK3 = sK4,
inference(cnf_transformation,[],[f117]) ).
tff(f137,plain,
sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))),
inference(cnf_transformation,[],[f117]) ).
tff(f157,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f218,plain,
! [X2: uni,X3: uni,X0: ty] : ( some(X0,X2) = nth1(X0,0,cons(X0,X2,X3)) ),
inference(equality_resolution,[],[f183]) ).
tff(f183,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( 0 != X1 )
| ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) ) ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: ty,X1: $int] :
( ! [X2: uni,X3: uni] :
( ( ( nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) )
| ( 0 = X1 ) )
& ( ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) )
| ( 0 != X1 ) ) )
& ( none(X0) = nth1(X0,X1,nil(X0)) ) ),
inference(ennf_transformation,[],[f94]) ).
tff(f94,plain,
! [X0: ty,X1: $int] :
( ! [X2: uni,X3: uni] :
( ( ( 0 != X1 )
=> ( nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) ) )
& ( ( 0 = X1 )
=> ( nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) ) ) )
& ( none(X0) = nth1(X0,X1,nil(X0)) ) ),
inference(rectify,[],[f58]) ).
tff(f58,plain,
! [X0: ty,X13: $int] :
( ! [X1: uni,X2: uni] :
( ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$sum(X13,$uminus(1)),X2) ) )
& ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) ) )
& ( none(X0) = nth1(X0,X13,nil(X0)) ) ),
inference(theory_normalization,[],[f33]) ).
tff(f33,axiom,
! [X0: ty,X13: $int] :
( ! [X1: uni,X2: uni] :
( ( ( 0 != X13 )
=> ( nth1(X0,X13,cons(X0,X1,X2)) = nth1(X0,$difference(X13,1),X2) ) )
& ( ( 0 = X13 )
=> ( some(X0,X1) = nth1(X0,X13,cons(X0,X1,X2)) ) ) )
& ( none(X0) = nth1(X0,X13,nil(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f5102,plain,
tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,sK2,t2tb1(sK0))),
inference(evaluation,[],[f5074]) ).
tff(f5074,plain,
tb2t(nth1(int,0,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,0),t2tb1(sK0))),
inference(resolution,[],[f143,f66]) ).
tff(f66,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f143,plain,
! [X4: $int] :
( $less(X4,0)
| ( tb2t(nth1(int,X4,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X4),t2tb1(sK0))) ) ),
inference(cnf_transformation,[],[f117]) ).
tff(f190,plain,
! [X0: list_int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ~ $less(sK7(X0,X1),0)
| zero_at1(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tff(f127,plain,
! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
| ? [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) )
& $less(X2,X1)
& ~ $less(X2,0) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ),
inference(flattening,[],[f126]) ).
tff(f126,plain,
! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
| ? [X2: $int] :
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) )
& $less(X2,X1)
& ~ $less(X2,0) )
| ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) ) ),
inference(ennf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: list_int,X1: $int] :
( ( ! [X2: $int] :
( ( $less(X2,X1)
& ~ $less(X2,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) )
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) ) )
=> zero_at1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f100]) ).
tff(f100,plain,
! [X0: list_int,X1: $int] :
( zero_at1(X0,X1)
<=> ( ! [X2: $int] :
( ( $less(X2,X1)
& ~ $less(X2,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0))) ) )
& ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) ) ) ),
inference(rectify,[],[f59]) ).
tff(f59,plain,
! [X12: list_int,X14: $int] :
( zero_at1(X12,X14)
<=> ( ! [X15: $int] :
( ( $less(X15,X14)
& ~ $less(X15,0) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) ) ) ),
inference(theory_normalization,[],[f43]) ).
tff(f43,axiom,
! [X12: list_int,X14: $int] :
( zero_at1(X12,X14)
<=> ( ! [X15: $int] :
( ( $less(X15,X14)
& $lesseq(0,X15) )
=> ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X15,t2tb1(X12))) ) )
& ( tb2t(nth1(int,X14,t2tb1(X12))) = tb2t(some(int,t2tb2(0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f32794,plain,
( spl8_20
| ~ spl8_17
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f32753,f5160,f5150,f5166]) ).
tff(f5150,plain,
( spl8_17
<=> ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
tff(f5160,plain,
( spl8_19
<=> $less(sK7(sK0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
tff(f32753,plain,
( $less(sK7(sK0,sK2),0)
| ~ spl8_17
| ~ spl8_19 ),
inference(subsumption_resolution,[],[f32752,f5162]) ).
tff(f5162,plain,
( $less(sK7(sK0,sK2),sK2)
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f5160]) ).
tff(f32752,plain,
( ~ $less(sK7(sK0,sK2),sK2)
| $less(sK7(sK0,sK2),0)
| ~ spl8_17 ),
inference(trivial_inequality_removal,[],[f32744]) ).
tff(f32744,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ~ $less(sK7(sK0,sK2),sK2)
| $less(sK7(sK0,sK2),0)
| ~ spl8_17 ),
inference(superposition,[],[f142,f5152]) ).
tff(f5152,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f5150]) ).
tff(f15437,plain,
( spl8_17
| spl8_1 ),
inference(avatar_split_clause,[],[f15436,f226,f5150]) ).
tff(f15436,plain,
( ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) )
| spl8_1 ),
inference(trivial_inequality_removal,[],[f15435]) ).
tff(f15435,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) )
| spl8_1 ),
inference(forward_demodulation,[],[f5148,f846]) ).
tff(f5148,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) )
| spl8_1 ),
inference(subsumption_resolution,[],[f5144,f228]) ).
tff(f228,plain,
( ~ zero_at1(sK0,sK2)
| spl8_1 ),
inference(avatar_component_clause,[],[f226]) ).
tff(f5144,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(sK0,sK2),t2tb1(sK0))) )
| zero_at1(sK0,sK2) ),
inference(superposition,[],[f192,f5102]) ).
tff(f192,plain,
! [X0: list_int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| ( tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) )
| zero_at1(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tff(f15434,plain,
( spl8_19
| spl8_1 ),
inference(avatar_split_clause,[],[f15433,f226,f5160]) ).
tff(f15433,plain,
( $less(sK7(sK0,sK2),sK2)
| spl8_1 ),
inference(trivial_inequality_removal,[],[f15432]) ).
tff(f15432,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) )
| $less(sK7(sK0,sK2),sK2)
| spl8_1 ),
inference(forward_demodulation,[],[f5158,f846]) ).
tff(f5158,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) )
| $less(sK7(sK0,sK2),sK2)
| spl8_1 ),
inference(subsumption_resolution,[],[f5145,f228]) ).
tff(f5145,plain,
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK1))) )
| $less(sK7(sK0,sK2),sK2)
| zero_at1(sK0,sK2) ),
inference(superposition,[],[f191,f5102]) ).
tff(f191,plain,
! [X0: list_int,X1: $int] :
( ( tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))) )
| $less(sK7(X0,X1),X1)
| zero_at1(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tff(f247,plain,
~ spl8_3,
inference(avatar_split_clause,[],[f144,f234]) ).
tff(f234,plain,
( spl8_3
<=> $less(sK2,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f144,plain,
~ $less(sK2,0),
inference(cnf_transformation,[],[f117]) ).
tff(f246,plain,
( spl8_4
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f220,f243,f239]) ).
tff(f220,plain,
( ( sK2 != length1(int,t2tb1(sK0)) )
| no_zero1(sK0) ),
inference(consistent_polarity_flipping,[],[f139]) ).
tff(f139,plain,
( ( sK2 != length1(int,t2tb1(sK0)) )
| ~ no_zero1(sK0) ),
inference(cnf_transformation,[],[f117]) ).
tff(f237,plain,
( ~ spl8_1
| ~ spl8_2
| spl8_3 ),
inference(avatar_split_clause,[],[f140,f234,f230,f226]) ).
tff(f140,plain,
( $less(sK2,0)
| ~ $less(sK2,length1(int,t2tb1(sK0)))
| ~ zero_at1(sK0,sK2) ),
inference(cnf_transformation,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW670_2 : TPTP v8.2.0. Released v6.1.0.
% 0.11/0.12 % Command : run_vampire %s %d SAT
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 07:10:09 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.19/0.35 This is a TF0_THM_EQU_ARI problem
% 0.19/0.35 Running first-order model finding
% 0.19/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (981)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (979)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (980)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (978)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (976)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.19/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (977)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.20/0.42 % (979)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.42 % (979)Terminated due to inappropriate strategy.
% 0.20/0.42 % (979)------------------------------
% 0.20/0.42 % (979)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (979)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (979)Termination reason: Inappropriate
% 0.20/0.42
% 0.20/0.42 % (979)Memory used [KB]: 783
% 0.20/0.42 % (979)Time elapsed: 0.004 s
% 0.20/0.42 % (979)Instructions burned: 5 (million)
% 0.20/0.42 % (978)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.42 % (978)Terminated due to inappropriate strategy.
% 0.20/0.42 % (978)------------------------------
% 0.20/0.42 % (978)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (976)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.42 % (976)Terminated due to inappropriate strategy.
% 0.20/0.42 % (976)------------------------------
% 0.20/0.42 % (976)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (979)------------------------------
% 0.20/0.42 % (979)------------------------------
% 0.20/0.42 % (976)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (976)Termination reason: Inappropriate
% 0.20/0.42
% 0.20/0.42 % (976)Memory used [KB]: 797
% 0.20/0.42 % (976)Time elapsed: 0.004 s
% 0.20/0.42 % (976)Instructions burned: 6 (million)
% 0.20/0.42 % (978)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (978)Termination reason: Inappropriate
% 0.20/0.42
% 0.20/0.42 % (978)Memory used [KB]: 786
% 0.20/0.42 % (978)Time elapsed: 0.004 s
% 0.20/0.42 % (978)Instructions burned: 6 (million)
% 0.20/0.42 % (976)------------------------------
% 0.20/0.42 % (976)------------------------------
% 0.20/0.42 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (982)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.20/0.42 % (978)------------------------------
% 0.20/0.42 % (978)------------------------------
% 0.20/0.47 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (983)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.20/0.47 % (982)Instruction limit reached!
% 0.20/0.47 % (982)------------------------------
% 0.20/0.47 % (982)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (982)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (982)Termination reason: Time limit
% 0.20/0.47 % (982)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (982)Memory used [KB]: 1874
% 0.20/0.47 % (982)Time elapsed: 0.048 s
% 0.20/0.47 % (982)Instructions burned: 115 (million)
% 0.20/0.48 % (980)Instruction limit reached!
% 0.20/0.48 % (980)------------------------------
% 0.20/0.48 % (980)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (980)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (980)Termination reason: Time limit
% 0.20/0.48 % (980)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (980)Memory used [KB]: 1893
% 0.20/0.48 % (980)Time elapsed: 0.062 s
% 0.20/0.48 % (980)Instructions burned: 105 (million)
% 0.20/0.48 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (984)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.20/0.48 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (985)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.20/0.50 % (981)Instruction limit reached!
% 0.20/0.50 % (981)------------------------------
% 0.20/0.50 % (981)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (981)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (981)Termination reason: Time limit
% 0.20/0.50 % (981)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (981)Memory used [KB]: 1935
% 0.20/0.50 % (981)Time elapsed: 0.086 s
% 0.20/0.50 % (981)Instructions burned: 146 (million)
% 0.20/0.53 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (986)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.20/0.54 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54 % (987)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.20/0.55 % (987)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (987)Terminated due to inappropriate strategy.
% 0.20/0.55 % (987)------------------------------
% 0.20/0.55 % (987)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.55 % (987)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.55 % (987)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (987)Memory used [KB]: 785
% 0.20/0.55 % (987)Time elapsed: 0.004 s
% 0.20/0.55 % (987)Instructions burned: 5 (million)
% 0.20/0.55 % (987)------------------------------
% 0.20/0.55 % (987)------------------------------
% 0.20/0.55 % (975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.55 % (988)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 0.20/0.57 % (984)Instruction limit reached!
% 0.20/0.57 % (984)------------------------------
% 0.20/0.57 % (984)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.57 % (984)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.57 % (984)Termination reason: Time limit
% 0.20/0.57 % (984)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (984)Memory used [KB]: 2079
% 0.20/0.57 % (984)Time elapsed: 0.089 s
% 0.20/0.57 % (984)Instructions burned: 176 (million)
% 1.70/0.61 % (975)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.61 % (989)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.70/0.63 % (985)Instruction limit reached!
% 1.70/0.63 % (985)------------------------------
% 1.70/0.63 % (985)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.63 % (985)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.63 % (985)Termination reason: Time limit
% 1.70/0.63 % (985)Termination phase: Saturation
% 1.70/0.63
% 1.70/0.63 % (985)Memory used [KB]: 3215
% 1.70/0.63 % (985)Time elapsed: 0.171 s
% 1.70/0.63 % (985)Instructions burned: 271 (million)
% 1.70/0.63 % (975)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.63 % (990)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.97/0.64 % (990)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.97/0.64 % (990)Terminated due to inappropriate strategy.
% 1.97/0.64 % (990)------------------------------
% 1.97/0.64 % (990)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.97/0.64 % (990)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.97/0.64 % (990)Termination reason: Inappropriate
% 1.97/0.64
% 1.97/0.64 % (990)Memory used [KB]: 782
% 1.97/0.64 % (990)Time elapsed: 0.004 s
% 1.97/0.64 % (990)Instructions burned: 5 (million)
% 1.97/0.64 % (990)------------------------------
% 1.97/0.64 % (990)------------------------------
% 2.06/0.64 % (983)Instruction limit reached!
% 2.06/0.64 % (983)------------------------------
% 2.06/0.64 % (983)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.64 % (983)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.64 % (983)Termination reason: Time limit
% 2.06/0.64 % (983)Termination phase: Saturation
% 2.06/0.64
% 2.06/0.64 % (983)Memory used [KB]: 3860
% 2.06/0.64 % (983)Time elapsed: 0.179 s
% 2.06/0.64 % (983)Instructions burned: 404 (million)
% 2.06/0.68 % (975)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.68 % (991)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2997ds/2892Mi)
% 2.06/0.69 % (991)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.06/0.69 % (991)Terminated due to inappropriate strategy.
% 2.06/0.69 % (991)------------------------------
% 2.06/0.69 % (991)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.69 % (991)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.69 % (991)Termination reason: Inappropriate
% 2.06/0.69
% 2.06/0.69 % (991)Memory used [KB]: 785
% 2.06/0.69 % (991)Time elapsed: 0.004 s
% 2.06/0.69 % (991)Instructions burned: 5 (million)
% 2.06/0.69 % (991)------------------------------
% 2.06/0.69 % (991)------------------------------
% 2.06/0.69 % (975)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.69 % (994)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 2.37/0.70 % (975)Running in auto input_syntax mode. Trying TPTP
% 2.37/0.70 % (995)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2997ds/1735Mi)
% 2.37/0.75 % (975)Running in auto input_syntax mode. Trying TPTP
% 2.37/0.75 % (996)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2996ds/131798Mi)
% 2.37/0.75 % (996)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.37/0.75 % (996)Terminated due to inappropriate strategy.
% 2.37/0.75 % (996)------------------------------
% 2.37/0.75 % (996)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.37/0.75 % (996)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.37/0.75 % (996)Termination reason: Inappropriate
% 2.37/0.75
% 2.37/0.75 % (996)Memory used [KB]: 791
% 2.37/0.75 % (996)Time elapsed: 0.004 s
% 2.37/0.75 % (996)Instructions burned: 5 (million)
% 2.37/0.75 % (996)------------------------------
% 2.37/0.75 % (996)------------------------------
% 2.65/0.81 % (975)Running in auto input_syntax mode. Trying TPTP
% 2.65/0.81 % (997)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2996ds/3451Mi)
% 2.65/0.81 % (997)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.65/0.81 % (997)Terminated due to inappropriate strategy.
% 2.65/0.81 % (997)------------------------------
% 2.65/0.81 % (997)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.65/0.81 % (997)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.65/0.81 % (997)Termination reason: Inappropriate
% 2.65/0.81
% 2.65/0.81 % (997)Memory used [KB]: 782
% 2.65/0.81 % (997)Time elapsed: 0.005 s
% 2.65/0.81 % (997)Instructions burned: 5 (million)
% 2.65/0.81 % (997)------------------------------
% 2.65/0.81 % (997)------------------------------
% 3.09/0.85 % (986)Instruction limit reached!
% 3.09/0.85 % (986)------------------------------
% 3.09/0.85 % (986)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.09/0.85 % (986)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.09/0.85 % (986)Termination reason: Time limit
% 3.09/0.85 % (986)Termination phase: Saturation
% 3.09/0.85
% 3.09/0.85 % (986)Memory used [KB]: 7344
% 3.09/0.85 % (986)Time elapsed: 0.350 s
% 3.09/0.85 % (986)Instructions burned: 900 (million)
% 3.09/0.87 % (975)Running in auto input_syntax mode. Trying TPTP
% 3.09/0.87 % (998)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2995ds/3978Mi)
% 3.21/0.90 % (975)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.90 % (999)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2995ds/33091Mi)
% 6.01/1.22 % (989)Instruction limit reached!
% 6.01/1.22 % (989)------------------------------
% 6.01/1.22 % (989)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.01/1.22 % (989)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.01/1.22 % (989)Termination reason: Time limit
% 6.01/1.22 % (989)Termination phase: Saturation
% 6.01/1.22
% 6.01/1.22 % (989)Memory used [KB]: 6687
% 6.01/1.22 % (989)Time elapsed: 0.640 s
% 6.01/1.22 % (989)Instructions burned: 1187 (million)
% 6.20/1.28 % (975)Running in auto input_syntax mode. Trying TPTP
% 6.20/1.28 % (1000)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2991ds/9564Mi)
% 7.81/1.51 % (994)Instruction limit reached!
% 7.81/1.51 % (994)------------------------------
% 7.81/1.51 % (994)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.81/1.51 % (994)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.81/1.51 % (994)Termination reason: Time limit
% 7.81/1.51 % (994)Termination phase: Saturation
% 7.81/1.51
% 7.81/1.51 % (994)Memory used [KB]: 9205
% 7.81/1.51 % (994)Time elapsed: 0.841 s
% 7.81/1.51 % (994)Instructions burned: 1694 (million)
% 7.98/1.54 % (975)Running in auto input_syntax mode. Trying TPTP
% 7.98/1.54 % (1001)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2988ds/50409Mi)
% 7.98/1.55 % (1001)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.98/1.55 % (1001)Terminated due to inappropriate strategy.
% 7.98/1.55 % (1001)------------------------------
% 7.98/1.55 % (1001)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.98/1.55 % (1001)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.98/1.55 % (1001)Termination reason: Inappropriate
% 7.98/1.55
% 7.98/1.55 % (1001)Memory used [KB]: 786
% 7.98/1.55 % (1001)Time elapsed: 0.003 s
% 7.98/1.55 % (1001)Instructions burned: 6 (million)
% 7.98/1.55 % (1001)------------------------------
% 7.98/1.55 % (1001)------------------------------
% 7.98/1.58 % (975)Running in auto input_syntax mode. Trying TPTP
% 7.98/1.58 % (1002)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2988ds/10852Mi)
% 8.45/1.63 % (995)Instruction limit reached!
% 8.45/1.63 % (995)------------------------------
% 8.45/1.63 % (995)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.45/1.63 % (995)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.45/1.63 % (995)Termination reason: Time limit
% 8.45/1.63 % (995)Termination phase: Saturation
% 8.45/1.63
% 8.45/1.63 % (995)Memory used [KB]: 19715
% 8.45/1.63 % (995)Time elapsed: 0.958 s
% 8.45/1.63 % (995)Instructions burned: 1735 (million)
% 8.45/1.63 % (988)Instruction limit reached!
% 8.45/1.63 % (988)------------------------------
% 8.45/1.63 % (988)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.45/1.63 % (988)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.45/1.63 % (988)Termination reason: Time limit
% 8.45/1.63 % (988)Termination phase: Saturation
% 8.45/1.63
% 8.45/1.63 % (988)Memory used [KB]: 10912
% 8.45/1.63 % (988)Time elapsed: 1.103 s
% 8.45/1.63 % (988)Instructions burned: 2146 (million)
% 8.45/1.68 % (975)Running in auto input_syntax mode. Trying TPTP
% 8.45/1.68 % (1003)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2987ds/11327Mi)
% 8.45/1.69 % (975)Running in auto input_syntax mode. Trying TPTP
% 8.45/1.69 % (1004)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2987ds/17908Mi)
% 8.45/1.70 % (1004)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.45/1.70 % (1004)Terminated due to inappropriate strategy.
% 8.45/1.70 % (1004)------------------------------
% 8.45/1.70 % (1004)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.45/1.70 % (1004)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.45/1.70 % (1004)Termination reason: Inappropriate
% 8.45/1.70
% 8.45/1.70 % (1004)Memory used [KB]: 786
% 8.45/1.70 % (1004)Time elapsed: 0.004 s
% 8.45/1.70 % (1004)Instructions burned: 6 (million)
% 8.45/1.70 % (1004)------------------------------
% 8.45/1.70 % (1004)------------------------------
% 9.39/1.75 % (975)Running in auto input_syntax mode. Trying TPTP
% 9.39/1.75 % (1005)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2986ds/22636Mi)
% 15.07/2.53 % (998)Instruction limit reached!
% 15.07/2.53 % (998)------------------------------
% 15.07/2.53 % (998)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.07/2.53 % (998)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.07/2.53 % (998)Termination reason: Time limit
% 15.07/2.53 % (998)Termination phase: Saturation
% 15.07/2.53
% 15.07/2.53 % (998)Memory used [KB]: 13083
% 15.07/2.53 % (998)Time elapsed: 1.659 s
% 15.07/2.53 % (998)Instructions burned: 3980 (million)
% 15.07/2.57 % (975)Running in auto input_syntax mode. Trying TPTP
% 15.07/2.57 % (1006)fmb+10_1:1_i=30223_0 on theBenchmark for (2978ds/30223Mi)
% 15.07/2.57 % (1006)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 15.07/2.57 % (1006)Terminated due to inappropriate strategy.
% 15.07/2.57 % (1006)------------------------------
% 15.07/2.57 % (1006)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.07/2.57 % (1006)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.07/2.57 % (1006)Termination reason: Inappropriate
% 15.07/2.57
% 15.07/2.57 % (1006)Memory used [KB]: 785
% 15.07/2.57 % (1006)Time elapsed: 0.002 s
% 15.07/2.57 % (1006)Instructions burned: 5 (million)
% 15.07/2.57 % (1006)------------------------------
% 15.07/2.57 % (1006)------------------------------
% 15.64/2.60 % (975)Running in auto input_syntax mode. Trying TPTP
% 15.64/2.60 % (1007)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2978ds/37350Mi)
% 15.64/2.66 % (1003)First to succeed.
% 15.64/2.66 % (1003)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-975"
% 15.64/2.66 % (975)Running in auto input_syntax mode. Trying TPTP
% 15.64/2.66 % (1003)Refutation found. Thanks to Tanya!
% 15.64/2.66 % SZS status Theorem for theBenchmark
% 15.64/2.66 % SZS output start Proof for theBenchmark
% See solution above
% 15.64/2.66 % (1003)------------------------------
% 15.64/2.66 % (1003)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.64/2.66 % (1003)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.64/2.66 % (1003)Termination reason: Refutation
% 15.64/2.66
% 15.64/2.66 % (1003)Memory used [KB]: 10734
% 15.64/2.66 % (1003)Time elapsed: 0.982 s
% 15.64/2.66 % (1003)Instructions burned: 2137 (million)
% 15.64/2.66 % (1003)------------------------------
% 15.64/2.66 % (1003)------------------------------
% 15.64/2.66 % (975)Success in time 2.29 s
%------------------------------------------------------------------------------