TSTP Solution File: SWW637_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW637_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 07:01:55 EDT 2024
% Result : Theorem 0.78s 0.98s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 98
% Syntax : Number of formulae : 214 ( 17 unt; 72 typ; 0 def)
% Number of atoms : 548 ( 22 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 640 ( 234 ~; 209 |; 144 &)
% ( 15 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 246 ( 170 atm; 0 fun; 0 num; 76 var)
% Number of types : 10 ( 8 usr; 1 ari)
% Number of type conns : 112 ( 47 >; 65 *; 0 +; 0 <<)
% Number of predicates : 23 ( 19 usr; 14 prp; 0-4 aty)
% Number of functors : 58 ( 58 usr; 17 con; 0-5 aty)
% Number of variables : 211 ( 168 !; 43 ?; 211 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
a: $tType ).
tff(type_def_10,type,
tree_int: $tType ).
tff(type_def_11,type,
list_int: $tType ).
tff(type_def_12,type,
tree_a1: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_10,type,
list: ty > ty ).
tff(func_def_11,type,
nil: ty > uni ).
tff(func_def_12,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_13,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_14,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_15,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_16,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_19,type,
length: ( ty * uni ) > $int ).
tff(func_def_22,type,
tree: ty > ty ).
tff(func_def_23,type,
leaf: ( ty * uni ) > uni ).
tff(func_def_24,type,
node: ( ty * uni * uni ) > uni ).
tff(func_def_25,type,
match_tree: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_26,type,
leaf_proj_1: ( ty * uni ) > uni ).
tff(func_def_27,type,
node_proj_1: ( ty * uni ) > uni ).
tff(func_def_28,type,
node_proj_2: ( ty * uni ) > uni ).
tff(func_def_29,type,
labels: ( ty * uni ) > uni ).
tff(func_def_30,type,
ref: ty > ty ).
tff(func_def_31,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_32,type,
contents: ( ty * uni ) > uni ).
tff(func_def_33,type,
a1: ty ).
tff(func_def_34,type,
t2tb: tree_int > uni ).
tff(func_def_35,type,
tb2t: uni > tree_int ).
tff(func_def_36,type,
t2tb1: list_int > uni ).
tff(func_def_37,type,
tb2t1: uni > list_int ).
tff(func_def_38,type,
t2tb2: tree_a1 > uni ).
tff(func_def_39,type,
tb2t2: uni > tree_a1 ).
tff(func_def_40,type,
t2tb3: $int > uni ).
tff(func_def_41,type,
tb2t3: uni > $int ).
tff(func_def_43,type,
sK2: $int ).
tff(func_def_44,type,
sK3: tree_a1 ).
tff(func_def_45,type,
sK4: tree_a1 ).
tff(func_def_46,type,
sK5: $int ).
tff(func_def_47,type,
sK6: tree_int ).
tff(func_def_48,type,
sK7: $int ).
tff(func_def_49,type,
sK8: tree_int ).
tff(func_def_50,type,
sK9: $int ).
tff(func_def_51,type,
sK10: ( ty * uni * uni ) > uni ).
tff(func_def_52,type,
sK11: ( uni * ty ) > uni ).
tff(func_def_53,type,
sK12: ( uni * ty ) > uni ).
tff(func_def_54,type,
sK13: ( ty * uni ) > uni ).
tff(func_def_55,type,
sK14: ( ty * uni * uni ) > uni ).
tff(func_def_56,type,
sK15: ( ty * uni * uni ) > uni ).
tff(func_def_57,type,
sK16: ( uni * ty * uni * ty ) > uni ).
tff(func_def_58,type,
sK17: ( uni * ty * uni * ty ) > uni ).
tff(func_def_59,type,
sK18: ( uni * ty * uni * ty ) > uni ).
tff(func_def_60,type,
sK19: ( uni * ty * uni * ty ) > uni ).
tff(func_def_61,type,
sK20: ( ty * ty * uni * uni ) > uni ).
tff(func_def_62,type,
sK21: ( ty * ty * uni * uni ) > uni ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_2,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
distinct: ( ty * uni ) > $o ).
tff(pred_def_5,type,
same_shape: ( ty * ty * uni * uni ) > $o ).
tff(pred_def_7,type,
sP0: ( uni * ty ) > $o ).
tff(pred_def_8,type,
sP1: ( uni * ty * uni * ty ) > $o ).
tff(f921,plain,
$false,
inference(avatar_sat_refutation,[],[f326,f337,f348,f412,f618,f660,f689,f692,f753,f777,f778,f825,f829,f843,f896,f919]) ).
tff(f919,plain,
( ~ spl22_30
| ~ spl22_33 ),
inference(avatar_contradiction_clause,[],[f918]) ).
tff(f918,plain,
( $false
| ~ spl22_30
| ~ spl22_33 ),
inference(subsumption_resolution,[],[f917,f659]) ).
tff(f659,plain,
( $less(sK5,sK9)
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f657]) ).
tff(f657,plain,
( spl22_30
<=> $less(sK5,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
tff(f917,plain,
( ~ $less(sK5,sK9)
| ~ spl22_33 ),
inference(forward_demodulation,[],[f912,f273]) ).
tff(f273,plain,
! [X0: $int] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: $int] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X20: $int] : ( tb2t3(t2tb3(X20)) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL3) ).
tff(f912,plain,
( ~ $less(sK5,tb2t3(t2tb3(sK9)))
| ~ spl22_33 ),
inference(resolution,[],[f679,f388]) ).
tff(f388,plain,
! [X0: uni] :
( ~ mem(int,X0,labels(int,t2tb(sK6)))
| ~ $less(sK5,tb2t3(X0)) ),
inference(superposition,[],[f203,f272]) ).
tff(f272,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(rectify,[],[f71]) ).
tff(f71,axiom,
! [X21: uni] : ( t2tb3(tb2t3(X21)) = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3) ).
tff(f203,plain,
! [X9: $int] :
( ~ mem(int,t2tb3(X9),labels(int,t2tb(sK6)))
| ~ $less(sK5,X9) ),
inference(cnf_transformation,[],[f172]) ).
tff(f172,plain,
( ( ( ( $less(sK7,sK9)
| ~ $less(sK2,sK9) )
& mem(int,t2tb3(sK9),labels(int,node(int,t2tb(sK8),t2tb(sK6)))) )
| $less(sK7,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) )
& ! [X8: $int] :
( ( ~ $less(sK7,X8)
& $less(sK5,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(sK8))) )
& ~ $less(sK7,sK5)
& distinct(int,labels(int,t2tb(sK8)))
& same_shape(int,a1,t2tb2(sK3),t2tb(sK8))
& ! [X9: $int] :
( ( ~ $less(sK5,X9)
& $less(sK2,X9) )
| ~ mem(int,t2tb3(X9),labels(int,t2tb(sK6))) )
& ~ $less(sK5,sK2)
& distinct(int,labels(int,t2tb(sK6)))
& same_shape(int,a1,t2tb2(sK4),t2tb(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f168,f171,f170,f169]) ).
tff(f169,plain,
( ? [X0: $int,X1: tree_a1,X2: tree_a1,X3: $int,X4: tree_int] :
( ? [X5: $int,X6: tree_int] :
( ( ? [X7: $int] :
( ( $less(X5,X7)
| ~ $less(X0,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4)))) )
| $less(X5,X0)
| ~ distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4))))
| ~ same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4))) )
& ! [X8: $int] :
( ( ~ $less(X5,X8)
& $less(X3,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X6))) )
& ~ $less(X5,X3)
& distinct(int,labels(int,t2tb(X6)))
& same_shape(int,a1,t2tb2(X1),t2tb(X6)) )
& ! [X9: $int] :
( ( ~ $less(X3,X9)
& $less(X0,X9) )
| ~ mem(int,t2tb3(X9),labels(int,t2tb(X4))) )
& ~ $less(X3,X0)
& distinct(int,labels(int,t2tb(X4)))
& same_shape(int,a1,t2tb2(X2),t2tb(X4)) )
=> ( ? [X6: tree_int,X5: $int] :
( ( ? [X7: $int] :
( ( $less(X5,X7)
| ~ $less(sK2,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK6)))) )
| $less(X5,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(X6),t2tb(sK6))) )
& ! [X8: $int] :
( ( ~ $less(X5,X8)
& $less(sK5,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X6))) )
& ~ $less(X5,sK5)
& distinct(int,labels(int,t2tb(X6)))
& same_shape(int,a1,t2tb2(sK3),t2tb(X6)) )
& ! [X9: $int] :
( ( ~ $less(sK5,X9)
& $less(sK2,X9) )
| ~ mem(int,t2tb3(X9),labels(int,t2tb(sK6))) )
& ~ $less(sK5,sK2)
& distinct(int,labels(int,t2tb(sK6)))
& same_shape(int,a1,t2tb2(sK4),t2tb(sK6)) ) ),
introduced(choice_axiom,[]) ).
tff(f170,plain,
( ? [X6: tree_int,X5: $int] :
( ( ? [X7: $int] :
( ( $less(X5,X7)
| ~ $less(sK2,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK6)))) )
| $less(X5,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(X6),t2tb(sK6))) )
& ! [X8: $int] :
( ( ~ $less(X5,X8)
& $less(sK5,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X6))) )
& ~ $less(X5,sK5)
& distinct(int,labels(int,t2tb(X6)))
& same_shape(int,a1,t2tb2(sK3),t2tb(X6)) )
=> ( ( ? [X7: $int] :
( ( $less(sK7,X7)
| ~ $less(sK2,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK8),t2tb(sK6)))) )
| $less(sK7,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) )
& ! [X8: $int] :
( ( ~ $less(sK7,X8)
& $less(sK5,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(sK8))) )
& ~ $less(sK7,sK5)
& distinct(int,labels(int,t2tb(sK8)))
& same_shape(int,a1,t2tb2(sK3),t2tb(sK8)) ) ),
introduced(choice_axiom,[]) ).
tff(f171,plain,
( ? [X7: $int] :
( ( $less(sK7,X7)
| ~ $less(sK2,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK8),t2tb(sK6)))) )
=> ( ( $less(sK7,sK9)
| ~ $less(sK2,sK9) )
& mem(int,t2tb3(sK9),labels(int,node(int,t2tb(sK8),t2tb(sK6)))) ) ),
introduced(choice_axiom,[]) ).
tff(f168,plain,
? [X0: $int,X1: tree_a1,X2: tree_a1,X3: $int,X4: tree_int] :
( ? [X5: $int,X6: tree_int] :
( ( ? [X7: $int] :
( ( $less(X5,X7)
| ~ $less(X0,X7) )
& mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4)))) )
| $less(X5,X0)
| ~ distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4))))
| ~ same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4))) )
& ! [X8: $int] :
( ( ~ $less(X5,X8)
& $less(X3,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X6))) )
& ~ $less(X5,X3)
& distinct(int,labels(int,t2tb(X6)))
& same_shape(int,a1,t2tb2(X1),t2tb(X6)) )
& ! [X9: $int] :
( ( ~ $less(X3,X9)
& $less(X0,X9) )
| ~ mem(int,t2tb3(X9),labels(int,t2tb(X4))) )
& ~ $less(X3,X0)
& distinct(int,labels(int,t2tb(X4)))
& same_shape(int,a1,t2tb2(X2),t2tb(X4)) ),
inference(rectify,[],[f141]) ).
tff(f141,plain,
? [X0: $int,X1: tree_a1,X2: tree_a1,X3: $int,X4: tree_int] :
( ? [X6: $int,X7: tree_int] :
( ( ? [X9: $int] :
( ( $less(X6,X9)
| ~ $less(X0,X9) )
& mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) )
| $less(X6,X0)
| ~ distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4))))
| ~ same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) )
& ! [X8: $int] :
( ( ~ $less(X6,X8)
& $less(X3,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X7))) )
& ~ $less(X6,X3)
& distinct(int,labels(int,t2tb(X7)))
& same_shape(int,a1,t2tb2(X1),t2tb(X7)) )
& ! [X5: $int] :
( ( ~ $less(X3,X5)
& $less(X0,X5) )
| ~ mem(int,t2tb3(X5),labels(int,t2tb(X4))) )
& ~ $less(X3,X0)
& distinct(int,labels(int,t2tb(X4)))
& same_shape(int,a1,t2tb2(X2),t2tb(X4)) ),
inference(flattening,[],[f140]) ).
tff(f140,plain,
? [X0: $int,X1: tree_a1,X2: tree_a1,X3: $int,X4: tree_int] :
( ? [X6: $int,X7: tree_int] :
( ( ? [X9: $int] :
( ( $less(X6,X9)
| ~ $less(X0,X9) )
& mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) )
| $less(X6,X0)
| ~ distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4))))
| ~ same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) )
& ! [X8: $int] :
( ( ~ $less(X6,X8)
& $less(X3,X8) )
| ~ mem(int,t2tb3(X8),labels(int,t2tb(X7))) )
& ~ $less(X6,X3)
& distinct(int,labels(int,t2tb(X7)))
& same_shape(int,a1,t2tb2(X1),t2tb(X7)) )
& ! [X5: $int] :
( ( ~ $less(X3,X5)
& $less(X0,X5) )
| ~ mem(int,t2tb3(X5),labels(int,t2tb(X4))) )
& ~ $less(X3,X0)
& distinct(int,labels(int,t2tb(X4)))
& same_shape(int,a1,t2tb2(X2),t2tb(X4)) ),
inference(ennf_transformation,[],[f95]) ).
tff(f95,plain,
~ ! [X0: $int,X1: tree_a1,X2: tree_a1,X3: $int,X4: tree_int] :
( ( ! [X5: $int] :
( mem(int,t2tb3(X5),labels(int,t2tb(X4)))
=> ( ~ $less(X3,X5)
& $less(X0,X5) ) )
& ~ $less(X3,X0)
& distinct(int,labels(int,t2tb(X4)))
& same_shape(int,a1,t2tb2(X2),t2tb(X4)) )
=> ! [X6: $int,X7: tree_int] :
( ( ! [X8: $int] :
( mem(int,t2tb3(X8),labels(int,t2tb(X7)))
=> ( ~ $less(X6,X8)
& $less(X3,X8) ) )
& ~ $less(X6,X3)
& distinct(int,labels(int,t2tb(X7)))
& same_shape(int,a1,t2tb2(X1),t2tb(X7)) )
=> ( ! [X9: $int] :
( mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4))))
=> ( ~ $less(X6,X9)
& $less(X0,X9) ) )
& ~ $less(X6,X0)
& distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4))))
& same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))) ) ) ),
inference(rectify,[],[f76]) ).
tff(f76,plain,
~ ! [X16: $int,X1: tree_a1,X2: tree_a1,X18: $int,X22: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X22)))
=> ( ~ $less(X18,X3)
& $less(X16,X3) ) )
& ~ $less(X18,X16)
& distinct(int,labels(int,t2tb(X22)))
& same_shape(int,a1,t2tb2(X2),t2tb(X22)) )
=> ! [X19: $int,X23: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X23)))
=> ( ~ $less(X19,X3)
& $less(X18,X3) ) )
& ~ $less(X19,X18)
& distinct(int,labels(int,t2tb(X23)))
& same_shape(int,a1,t2tb2(X1),t2tb(X23)) )
=> ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,node(int,t2tb(X23),t2tb(X22))))
=> ( ~ $less(X19,X3)
& $less(X16,X3) ) )
& ~ $less(X19,X16)
& distinct(int,labels(int,node(int,t2tb(X23),t2tb(X22))))
& same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X23),t2tb(X22))) ) ) ),
inference(theory_normalization,[],[f73]) ).
tff(f73,negated_conjecture,
~ ! [X16: $int,X1: tree_a1,X2: tree_a1,X18: $int,X22: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X22)))
=> ( $lesseq(X3,X18)
& $less(X16,X3) ) )
& $lesseq(X16,X18)
& distinct(int,labels(int,t2tb(X22)))
& same_shape(int,a1,t2tb2(X2),t2tb(X22)) )
=> ! [X19: $int,X23: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X23)))
=> ( $lesseq(X3,X19)
& $less(X18,X3) ) )
& $lesseq(X18,X19)
& distinct(int,labels(int,t2tb(X23)))
& same_shape(int,a1,t2tb2(X1),t2tb(X23)) )
=> ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,node(int,t2tb(X23),t2tb(X22))))
=> ( $lesseq(X3,X19)
& $less(X16,X3) ) )
& $lesseq(X16,X19)
& distinct(int,labels(int,node(int,t2tb(X23),t2tb(X22))))
& same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X23),t2tb(X22))) ) ) ),
inference(negated_conjecture,[],[f72]) ).
tff(f72,conjecture,
! [X16: $int,X1: tree_a1,X2: tree_a1,X18: $int,X22: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X22)))
=> ( $lesseq(X3,X18)
& $less(X16,X3) ) )
& $lesseq(X16,X18)
& distinct(int,labels(int,t2tb(X22)))
& same_shape(int,a1,t2tb2(X2),t2tb(X22)) )
=> ! [X19: $int,X23: tree_int] :
( ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,t2tb(X23)))
=> ( $lesseq(X3,X19)
& $less(X18,X3) ) )
& $lesseq(X18,X19)
& distinct(int,labels(int,t2tb(X23)))
& same_shape(int,a1,t2tb2(X1),t2tb(X23)) )
=> ( ! [X3: $int] :
( mem(int,t2tb3(X3),labels(int,node(int,t2tb(X23),t2tb(X22))))
=> ( $lesseq(X3,X19)
& $less(X16,X3) ) )
& $lesseq(X16,X19)
& distinct(int,labels(int,node(int,t2tb(X23),t2tb(X22))))
& same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X23),t2tb(X22))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_relabel) ).
tff(f679,plain,
( mem(int,t2tb3(sK9),labels(int,t2tb(sK6)))
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f677]) ).
tff(f677,plain,
( spl22_33
<=> mem(int,t2tb3(sK9),labels(int,t2tb(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
tff(f896,plain,
( ~ spl22_3
| ~ spl22_34 ),
inference(avatar_contradiction_clause,[],[f895]) ).
tff(f895,plain,
( $false
| ~ spl22_3
| ~ spl22_34 ),
inference(subsumption_resolution,[],[f894,f321]) ).
tff(f321,plain,
( $less(sK7,sK9)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f319]) ).
tff(f319,plain,
( spl22_3
<=> $less(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
tff(f894,plain,
( ~ $less(sK7,sK9)
| ~ spl22_34 ),
inference(forward_demodulation,[],[f889,f273]) ).
tff(f889,plain,
( ~ $less(sK7,tb2t3(t2tb3(sK9)))
| ~ spl22_34 ),
inference(resolution,[],[f683,f400]) ).
tff(f400,plain,
! [X0: uni] :
( ~ mem(int,X0,labels(int,t2tb(sK8)))
| ~ $less(sK7,tb2t3(X0)) ),
inference(superposition,[],[f208,f272]) ).
tff(f208,plain,
! [X8: $int] :
( ~ mem(int,t2tb3(X8),labels(int,t2tb(sK8)))
| ~ $less(sK7,X8) ),
inference(cnf_transformation,[],[f172]) ).
tff(f683,plain,
( mem(int,t2tb3(sK9),labels(int,t2tb(sK8)))
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f681]) ).
tff(f681,plain,
( spl22_34
<=> mem(int,t2tb3(sK9),labels(int,t2tb(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
tff(f843,plain,
( spl22_2
| ~ spl22_7
| ~ spl22_30 ),
inference(avatar_contradiction_clause,[],[f842]) ).
tff(f842,plain,
( $false
| spl22_2
| ~ spl22_7
| ~ spl22_30 ),
inference(subsumption_resolution,[],[f841,f317]) ).
tff(f317,plain,
( ~ $less(sK2,sK9)
| spl22_2 ),
inference(avatar_component_clause,[],[f315]) ).
tff(f315,plain,
( spl22_2
<=> $less(sK2,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
tff(f841,plain,
( $less(sK2,sK9)
| ~ spl22_7
| ~ spl22_30 ),
inference(forward_demodulation,[],[f659,f343]) ).
tff(f343,plain,
( ( sK2 = sK5 )
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f341]) ).
tff(f341,plain,
( spl22_7
<=> ( sK2 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
tff(f829,plain,
( ~ spl22_3
| ~ spl22_29 ),
inference(avatar_contradiction_clause,[],[f828]) ).
tff(f828,plain,
( $false
| ~ spl22_3
| ~ spl22_29 ),
inference(subsumption_resolution,[],[f827,f206]) ).
tff(f206,plain,
~ $less(sK7,sK5),
inference(cnf_transformation,[],[f172]) ).
tff(f827,plain,
( $less(sK7,sK5)
| ~ spl22_3
| ~ spl22_29 ),
inference(forward_demodulation,[],[f321,f655]) ).
tff(f655,plain,
( ( sK5 = sK9 )
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f653]) ).
tff(f653,plain,
( spl22_29
<=> ( sK5 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
tff(f825,plain,
( spl22_30
| ~ spl22_34 ),
inference(avatar_contradiction_clause,[],[f824]) ).
tff(f824,plain,
( $false
| spl22_30
| ~ spl22_34 ),
inference(subsumption_resolution,[],[f823,f658]) ).
tff(f658,plain,
( ~ $less(sK5,sK9)
| spl22_30 ),
inference(avatar_component_clause,[],[f657]) ).
tff(f823,plain,
( $less(sK5,sK9)
| ~ spl22_34 ),
inference(forward_demodulation,[],[f818,f273]) ).
tff(f818,plain,
( $less(sK5,tb2t3(t2tb3(sK9)))
| ~ spl22_34 ),
inference(resolution,[],[f683,f394]) ).
tff(f394,plain,
! [X0: uni] :
( ~ mem(int,X0,labels(int,t2tb(sK8)))
| $less(sK5,tb2t3(X0)) ),
inference(superposition,[],[f207,f272]) ).
tff(f207,plain,
! [X8: $int] :
( ~ mem(int,t2tb3(X8),labels(int,t2tb(sK8)))
| $less(sK5,X8) ),
inference(cnf_transformation,[],[f172]) ).
tff(f778,plain,
( spl22_33
| spl22_34
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f727,f334,f681,f677]) ).
tff(f334,plain,
( spl22_6
<=> mem(int,t2tb3(sK9),infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
tff(f727,plain,
( mem(int,t2tb3(sK9),labels(int,t2tb(sK8)))
| mem(int,t2tb3(sK9),labels(int,t2tb(sK6)))
| ~ spl22_6 ),
inference(resolution,[],[f336,f233]) ).
tff(f233,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ~ mem(X0,X1,infix_plpl(X0,X2,X3))
| mem(X0,X1,X2)
| mem(X0,X1,X3) ),
inference(cnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( ( mem(X0,X1,infix_plpl(X0,X2,X3))
| ( ~ mem(X0,X1,X3)
& ~ mem(X0,X1,X2) ) )
& ( mem(X0,X1,X3)
| mem(X0,X1,X2)
| ~ mem(X0,X1,infix_plpl(X0,X2,X3)) ) ),
inference(flattening,[],[f187]) ).
tff(f187,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( ( mem(X0,X1,infix_plpl(X0,X2,X3))
| ( ~ mem(X0,X1,X3)
& ~ mem(X0,X1,X2) ) )
& ( mem(X0,X1,X3)
| mem(X0,X1,X2)
| ~ mem(X0,X1,infix_plpl(X0,X2,X3)) ) ),
inference(nnf_transformation,[],[f105]) ).
tff(f105,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( mem(X0,X1,infix_plpl(X0,X2,X3))
<=> ( mem(X0,X1,X3)
| mem(X0,X1,X2) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X0: ty,X1: uni,X12: uni,X11: uni] :
( mem(X0,X1,infix_plpl(X0,X12,X11))
<=> ( mem(X0,X1,X11)
| mem(X0,X1,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_append) ).
tff(f336,plain,
( mem(int,t2tb3(sK9),infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f334]) ).
tff(f777,plain,
( spl22_2
| ~ spl22_33 ),
inference(avatar_contradiction_clause,[],[f776]) ).
tff(f776,plain,
( $false
| spl22_2
| ~ spl22_33 ),
inference(subsumption_resolution,[],[f775,f317]) ).
tff(f775,plain,
( $less(sK2,sK9)
| ~ spl22_33 ),
inference(forward_demodulation,[],[f770,f273]) ).
tff(f770,plain,
( $less(sK2,tb2t3(t2tb3(sK9)))
| ~ spl22_33 ),
inference(resolution,[],[f679,f383]) ).
tff(f383,plain,
! [X0: uni] :
( ~ mem(int,X0,labels(int,t2tb(sK6)))
| $less(sK2,tb2t3(X0)) ),
inference(superposition,[],[f202,f272]) ).
tff(f202,plain,
! [X9: $int] :
( ~ mem(int,t2tb3(X9),labels(int,t2tb(sK6)))
| $less(sK2,X9) ),
inference(cnf_transformation,[],[f172]) ).
tff(f753,plain,
( ~ spl22_30
| spl22_2
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f746,f345,f315,f657]) ).
tff(f345,plain,
( spl22_8
<=> $less(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
tff(f746,plain,
( ~ $less(sK5,sK9)
| spl22_2
| ~ spl22_8 ),
inference(resolution,[],[f695,f347]) ).
tff(f347,plain,
( $less(sK2,sK5)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f345]) ).
tff(f695,plain,
( ! [X0: $int] :
( ~ $less(sK2,X0)
| ~ $less(X0,sK9) )
| spl22_2 ),
inference(resolution,[],[f317,f83]) ).
tff(f83,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f692,plain,
( ~ spl22_5
| ~ spl22_11 ),
inference(avatar_contradiction_clause,[],[f691]) ).
tff(f691,plain,
( $false
| ~ spl22_5
| ~ spl22_11 ),
inference(subsumption_resolution,[],[f690,f201]) ).
tff(f201,plain,
~ $less(sK5,sK2),
inference(cnf_transformation,[],[f172]) ).
tff(f690,plain,
( $less(sK5,sK2)
| ~ spl22_5
| ~ spl22_11 ),
inference(forward_demodulation,[],[f332,f366]) ).
tff(f366,plain,
( ( sK5 = sK7 )
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f364]) ).
tff(f364,plain,
( spl22_11
<=> ( sK5 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
tff(f332,plain,
( $less(sK7,sK2)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f330]) ).
tff(f330,plain,
( spl22_5
<=> $less(sK7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
tff(f689,plain,
( spl22_11
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f502,f330,f364]) ).
tff(f502,plain,
( ~ $less(sK7,sK2)
| ( sK5 = sK7 ) ),
inference(resolution,[],[f373,f206]) ).
tff(f373,plain,
! [X0: $int] :
( $less(X0,sK5)
| ~ $less(X0,sK2)
| ( sK5 = X0 ) ),
inference(resolution,[],[f339,f84]) ).
tff(f84,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f339,plain,
! [X0: $int] :
( ~ $less(sK5,X0)
| ~ $less(X0,sK2) ),
inference(resolution,[],[f201,f83]) ).
tff(f660,plain,
( spl22_29
| spl22_30
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f650,f319,f657,f653]) ).
tff(f650,plain,
( $less(sK5,sK9)
| ( sK5 = sK9 )
| ~ spl22_3 ),
inference(resolution,[],[f645,f84]) ).
tff(f645,plain,
( ~ $less(sK9,sK5)
| ~ spl22_3 ),
inference(resolution,[],[f321,f350]) ).
tff(f350,plain,
! [X0: $int] :
( ~ $less(sK7,X0)
| ~ $less(X0,sK5) ),
inference(resolution,[],[f206,f83]) ).
tff(f618,plain,
spl22_4,
inference(avatar_split_clause,[],[f617,f323]) ).
tff(f323,plain,
( spl22_4
<=> distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
tff(f617,plain,
distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6)))),
inference(subsumption_resolution,[],[f616,f205]) ).
tff(f205,plain,
distinct(int,labels(int,t2tb(sK8))),
inference(cnf_transformation,[],[f172]) ).
tff(f616,plain,
( distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| ~ distinct(int,labels(int,t2tb(sK8))) ),
inference(subsumption_resolution,[],[f609,f200]) ).
tff(f200,plain,
distinct(int,labels(int,t2tb(sK6))),
inference(cnf_transformation,[],[f172]) ).
tff(f609,plain,
( distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| ~ distinct(int,labels(int,t2tb(sK6)))
| ~ distinct(int,labels(int,t2tb(sK8))) ),
inference(duplicate_literal_removal,[],[f605]) ).
tff(f605,plain,
( distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| ~ distinct(int,labels(int,t2tb(sK6)))
| distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| ~ distinct(int,labels(int,t2tb(sK8))) ),
inference(resolution,[],[f472,f469]) ).
tff(f469,plain,
! [X0: uni] :
( ~ $less(sK5,tb2t3(sK10(int,X0,labels(int,t2tb(sK6)))))
| distinct(int,infix_plpl(int,X0,labels(int,t2tb(sK6))))
| ~ distinct(int,X0) ),
inference(subsumption_resolution,[],[f467,f200]) ).
tff(f467,plain,
! [X0: uni] :
( ~ $less(sK5,tb2t3(sK10(int,X0,labels(int,t2tb(sK6)))))
| distinct(int,infix_plpl(int,X0,labels(int,t2tb(sK6))))
| ~ distinct(int,labels(int,t2tb(sK6)))
| ~ distinct(int,X0) ),
inference(resolution,[],[f388,f221]) ).
tff(f221,plain,
! [X2: uni,X0: ty,X1: uni] :
( mem(X0,sK10(X0,X1,X2),X2)
| distinct(X0,infix_plpl(X0,X1,X2))
| ~ distinct(X0,X2)
| ~ distinct(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: ty,X1: uni,X2: uni] :
( distinct(X0,infix_plpl(X0,X1,X2))
| ( mem(X0,sK10(X0,X1,X2),X2)
& mem(X0,sK10(X0,X1,X2),X1)
& sort(X0,sK10(X0,X1,X2)) )
| ~ distinct(X0,X2)
| ~ distinct(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f145,f176]) ).
tff(f176,plain,
! [X0: ty,X1: uni,X2: uni] :
( ? [X3: uni] :
( mem(X0,X3,X2)
& mem(X0,X3,X1)
& sort(X0,X3) )
=> ( mem(X0,sK10(X0,X1,X2),X2)
& mem(X0,sK10(X0,X1,X2),X1)
& sort(X0,sK10(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f145,plain,
! [X0: ty,X1: uni,X2: uni] :
( distinct(X0,infix_plpl(X0,X1,X2))
| ? [X3: uni] :
( mem(X0,X3,X2)
& mem(X0,X3,X1)
& sort(X0,X3) )
| ~ distinct(X0,X2)
| ~ distinct(X0,X1) ),
inference(flattening,[],[f144]) ).
tff(f144,plain,
! [X0: ty,X1: uni,X2: uni] :
( distinct(X0,infix_plpl(X0,X1,X2))
| ? [X3: uni] :
( mem(X0,X3,X2)
& mem(X0,X3,X1)
& sort(X0,X3) )
| ~ distinct(X0,X2)
| ~ distinct(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: ty,X1: uni,X2: uni] :
( distinct(X0,X1)
=> ( distinct(X0,X2)
=> ( ! [X3: uni] :
( sort(X0,X3)
=> ( mem(X0,X3,X1)
=> ~ mem(X0,X3,X2) ) )
=> distinct(X0,infix_plpl(X0,X1,X2)) ) ) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X0: ty,X12: uni,X11: uni] :
( distinct(X0,X12)
=> ( distinct(X0,X11)
=> ( ! [X1: uni] :
( sort(X0,X1)
=> ( mem(X0,X1,X12)
=> ~ mem(X0,X1,X11) ) )
=> distinct(X0,infix_plpl(X0,X12,X11)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_append) ).
tff(f472,plain,
! [X0: uni] :
( $less(sK5,tb2t3(sK10(int,labels(int,t2tb(sK8)),X0)))
| distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),X0))
| ~ distinct(int,X0) ),
inference(subsumption_resolution,[],[f470,f205]) ).
tff(f470,plain,
! [X0: uni] :
( $less(sK5,tb2t3(sK10(int,labels(int,t2tb(sK8)),X0)))
| distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),X0))
| ~ distinct(int,X0)
| ~ distinct(int,labels(int,t2tb(sK8))) ),
inference(resolution,[],[f394,f220]) ).
tff(f220,plain,
! [X2: uni,X0: ty,X1: uni] :
( mem(X0,sK10(X0,X1,X2),X1)
| distinct(X0,infix_plpl(X0,X1,X2))
| ~ distinct(X0,X2)
| ~ distinct(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tff(f412,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f411]) ).
tff(f411,plain,
( $false
| spl22_1 ),
inference(subsumption_resolution,[],[f410,f204]) ).
tff(f204,plain,
same_shape(int,a1,t2tb2(sK3),t2tb(sK8)),
inference(cnf_transformation,[],[f172]) ).
tff(f410,plain,
( ~ same_shape(int,a1,t2tb2(sK3),t2tb(sK8))
| spl22_1 ),
inference(subsumption_resolution,[],[f408,f199]) ).
tff(f199,plain,
same_shape(int,a1,t2tb2(sK4),t2tb(sK6)),
inference(cnf_transformation,[],[f172]) ).
tff(f408,plain,
( ~ same_shape(int,a1,t2tb2(sK4),t2tb(sK6))
| ~ same_shape(int,a1,t2tb2(sK3),t2tb(sK8))
| spl22_1 ),
inference(resolution,[],[f313,f254]) ).
tff(f254,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni,X5: uni] :
( same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))
| ~ same_shape(X1,X0,X3,X5)
| ~ same_shape(X1,X0,X2,X4) ),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))
| ~ same_shape(X1,X0,X3,X5)
| ~ same_shape(X1,X0,X2,X4) ),
inference(flattening,[],[f154]) ).
tff(f154,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))
| ~ same_shape(X1,X0,X3,X5)
| ~ same_shape(X1,X0,X2,X4) ),
inference(ennf_transformation,[],[f107]) ).
tff(f107,plain,
! [X0: ty,X1: ty,X2: uni,X3: uni,X4: uni,X5: uni] :
( same_shape(X1,X0,X2,X4)
=> ( same_shape(X1,X0,X3,X5)
=> same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) ) ),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X0: ty,X17: ty,X12: uni,X18: uni,X11: uni,X19: uni] :
( same_shape(X17,X0,X12,X11)
=> ( same_shape(X17,X0,X18,X19)
=> same_shape(X17,X0,node(X0,X12,X18),node(X17,X11,X19)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_shape_Node) ).
tff(f313,plain,
( ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6)))
| spl22_1 ),
inference(avatar_component_clause,[],[f311]) ).
tff(f311,plain,
( spl22_1
<=> same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
tff(f348,plain,
( spl22_7
| spl22_8 ),
inference(avatar_split_clause,[],[f338,f345,f341]) ).
tff(f338,plain,
( $less(sK2,sK5)
| ( sK2 = sK5 ) ),
inference(resolution,[],[f201,f84]) ).
tff(f337,plain,
( ~ spl22_1
| spl22_5
| spl22_6
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f328,f323,f334,f330,f311]) ).
tff(f328,plain,
( ~ distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| mem(int,t2tb3(sK9),infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| $less(sK7,sK2)
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(forward_demodulation,[],[f327,f259]) ).
tff(f259,plain,
! [X2: uni,X0: ty,X1: uni] : ( labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: ty] :
( ! [X1: uni,X2: uni] : ( labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) )
& ! [X3: uni] : ( cons(X0,X3,nil(X0)) = labels(X0,leaf(X0,X3)) ) ),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X0: ty] :
( ! [X1: uni,X2: uni] : ( labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)) )
& ! [X1: uni] : ( cons(X0,X1,nil(X0)) = labels(X0,leaf(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',labels_def) ).
tff(f327,plain,
( mem(int,t2tb3(sK9),infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| $less(sK7,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(forward_demodulation,[],[f209,f259]) ).
tff(f209,plain,
( mem(int,t2tb3(sK9),labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| $less(sK7,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(cnf_transformation,[],[f172]) ).
tff(f326,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f309,f323,f319,f315,f311]) ).
tff(f309,plain,
( ~ distinct(int,infix_plpl(int,labels(int,t2tb(sK8)),labels(int,t2tb(sK6))))
| $less(sK7,sK9)
| ~ $less(sK2,sK9)
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(forward_demodulation,[],[f308,f259]) ).
tff(f308,plain,
( $less(sK7,sK9)
| ~ $less(sK2,sK9)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(subsumption_resolution,[],[f210,f83]) ).
tff(f210,plain,
( $less(sK7,sK9)
| ~ $less(sK2,sK9)
| $less(sK7,sK2)
| ~ distinct(int,labels(int,node(int,t2tb(sK8),t2tb(sK6))))
| ~ same_shape(int,a1,node(a1,t2tb2(sK3),t2tb2(sK4)),node(int,t2tb(sK8),t2tb(sK6))) ),
inference(cnf_transformation,[],[f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW637_2 : TPTP v8.2.0. Released v6.1.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 20:09:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.93 % (19389)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.93 % (19386)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.93 % (19388)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.74/0.93 % (19387)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.74/0.93 % (19390)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.93 % (19391)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.93 % (19392)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.74/0.93 % (19393)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.78/0.95 % (19386)Instruction limit reached!
% 0.78/0.95 % (19386)------------------------------
% 0.78/0.95 % (19386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (19386)Termination reason: Unknown
% 0.78/0.95 % (19386)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (19386)Memory used [KB]: 1353
% 0.78/0.95 % (19386)Time elapsed: 0.019 s
% 0.78/0.95 % (19386)Instructions burned: 35 (million)
% 0.78/0.95 % (19386)------------------------------
% 0.78/0.95 % (19386)------------------------------
% 0.78/0.95 % (19389)Instruction limit reached!
% 0.78/0.95 % (19389)------------------------------
% 0.78/0.95 % (19389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (19389)Termination reason: Unknown
% 0.78/0.95 % (19389)Termination phase: Saturation
% 0.78/0.95 % (19390)Instruction limit reached!
% 0.78/0.95 % (19390)------------------------------
% 0.78/0.95 % (19390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (19390)Termination reason: Unknown
% 0.78/0.95 % (19390)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (19390)Memory used [KB]: 1399
% 0.78/0.95 % (19390)Time elapsed: 0.019 s
% 0.78/0.95 % (19390)Instructions burned: 35 (million)
% 0.78/0.95 % (19390)------------------------------
% 0.78/0.95 % (19390)------------------------------
% 0.78/0.95
% 0.78/0.95 % (19389)Memory used [KB]: 1505
% 0.78/0.95 % (19389)Time elapsed: 0.019 s
% 0.78/0.95 % (19389)Instructions burned: 33 (million)
% 0.78/0.95 % (19389)------------------------------
% 0.78/0.95 % (19389)------------------------------
% 0.78/0.95 % (19394)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.78/0.95 % (19396)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.78/0.95 % (19395)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.78/0.95 % (19391)Instruction limit reached!
% 0.78/0.95 % (19391)------------------------------
% 0.78/0.95 % (19391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (19391)Termination reason: Unknown
% 0.78/0.95 % (19391)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (19391)Memory used [KB]: 1508
% 0.78/0.95 % (19391)Time elapsed: 0.023 s
% 0.78/0.95 % (19391)Instructions burned: 46 (million)
% 0.78/0.95 % (19391)------------------------------
% 0.78/0.95 % (19391)------------------------------
% 0.78/0.95 % (19387)Instruction limit reached!
% 0.78/0.95 % (19387)------------------------------
% 0.78/0.95 % (19387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.95 % (19387)Termination reason: Unknown
% 0.78/0.95 % (19387)Termination phase: Saturation
% 0.78/0.95
% 0.78/0.95 % (19387)Memory used [KB]: 1438
% 0.78/0.95 % (19387)Time elapsed: 0.025 s
% 0.78/0.95 % (19387)Instructions burned: 51 (million)
% 0.78/0.95 % (19387)------------------------------
% 0.78/0.95 % (19387)------------------------------
% 0.78/0.95 % (19397)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.78/0.96 % (19398)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.78/0.96 % (19393)Instruction limit reached!
% 0.78/0.96 % (19393)------------------------------
% 0.78/0.96 % (19393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.96 % (19393)Termination reason: Unknown
% 0.78/0.96 % (19393)Termination phase: Saturation
% 0.78/0.96
% 0.78/0.96 % (19393)Memory used [KB]: 1381
% 0.78/0.96 % (19393)Time elapsed: 0.029 s
% 0.78/0.96 % (19393)Instructions burned: 57 (million)
% 0.78/0.96 % (19393)------------------------------
% 0.78/0.96 % (19393)------------------------------
% 0.78/0.96 % (19399)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.78/0.97 % (19388)Instruction limit reached!
% 0.78/0.97 % (19388)------------------------------
% 0.78/0.97 % (19388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.97 % (19388)Termination reason: Unknown
% 0.78/0.97 % (19388)Termination phase: Saturation
% 0.78/0.97
% 0.78/0.97 % (19388)Memory used [KB]: 1412
% 0.78/0.97 % (19388)Time elapsed: 0.039 s
% 0.78/0.97 % (19388)Instructions burned: 79 (million)
% 0.78/0.97 % (19388)------------------------------
% 0.78/0.97 % (19388)------------------------------
% 0.78/0.97 % (19400)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.78/0.97 % (19392)Instruction limit reached!
% 0.78/0.97 % (19392)------------------------------
% 0.78/0.97 % (19392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.97 % (19392)Termination reason: Unknown
% 0.78/0.97 % (19392)Termination phase: Saturation
% 0.78/0.97
% 0.78/0.97 % (19392)Memory used [KB]: 1816
% 0.78/0.97 % (19392)Time elapsed: 0.046 s
% 0.78/0.97 % (19392)Instructions burned: 83 (million)
% 0.78/0.97 % (19392)------------------------------
% 0.78/0.97 % (19392)------------------------------
% 0.78/0.98 % (19395)Instruction limit reached!
% 0.78/0.98 % (19395)------------------------------
% 0.78/0.98 % (19395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.98 % (19395)Termination reason: Unknown
% 0.78/0.98 % (19395)Termination phase: Saturation
% 0.78/0.98
% 0.78/0.98 % (19395)Memory used [KB]: 1575
% 0.78/0.98 % (19395)Time elapsed: 0.027 s
% 0.78/0.98 % (19395)Instructions burned: 52 (million)
% 0.78/0.98 % (19395)------------------------------
% 0.78/0.98 % (19395)------------------------------
% 0.78/0.98 % (19401)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.78/0.98 % (19398)First to succeed.
% 0.78/0.98 % (19402)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.78/0.98 % (19394)Instruction limit reached!
% 0.78/0.98 % (19394)------------------------------
% 0.78/0.98 % (19394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.98 % (19394)Termination reason: Unknown
% 0.78/0.98 % (19394)Termination phase: Saturation
% 0.78/0.98
% 0.78/0.98 % (19394)Memory used [KB]: 1692
% 0.78/0.98 % (19394)Time elapsed: 0.032 s
% 0.78/0.98 % (19394)Instructions burned: 55 (million)
% 0.78/0.98 % (19394)------------------------------
% 0.78/0.98 % (19394)------------------------------
% 0.78/0.98 % (19398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19385"
% 0.78/0.98 % (19397)Instruction limit reached!
% 0.78/0.98 % (19397)------------------------------
% 0.78/0.98 % (19397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.98 % (19398)Refutation found. Thanks to Tanya!
% 0.78/0.98 % SZS status Theorem for theBenchmark
% 0.78/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.98 % (19398)------------------------------
% 0.78/0.98 % (19398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.98 % (19398)Termination reason: Refutation
% 0.78/0.98
% 0.78/0.98 % (19398)Memory used [KB]: 1477
% 0.78/0.98 % (19398)Time elapsed: 0.050 s
% 0.78/0.98 % (19398)Instructions burned: 45 (million)
% 0.78/0.98 % (19385)Success in time 0.622 s
% 0.78/0.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------