TSTP Solution File: SWW648_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW648_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 19:09:17 EDT 2022
% Result : Theorem 0.14s 0.55s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 68
% Syntax : Number of formulae : 122 ( 38 unt; 54 typ; 0 def)
% Number of atoms : 229 ( 206 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 255 ( 94 ~; 44 |; 92 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 38 ( 22 atm; 7 fun; 9 num; 0 var)
% Number of types : 10 ( 8 usr; 1 ari)
% Number of type conns : 61 ( 28 >; 33 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 44 usr; 20 con; 0-5 aty)
% Number of variables : 203 ( 129 !; 74 ?; 203 :)
% 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,
list_lpa1cm_a1rp: $tType ).
tff(type_def_11,type,
lpa1cm_a1rp: $tType ).
tff(type_def_12,type,
list_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_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_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_21,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_23,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_24,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_25,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_26,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_27,type,
combine: ( ty * ty * uni * uni ) > uni ).
tff(func_def_28,type,
a1: ty ).
tff(func_def_29,type,
t2tb: a > uni ).
tff(func_def_30,type,
tb2t: uni > a ).
tff(func_def_31,type,
t2tb1: list_lpa1cm_a1rp > uni ).
tff(func_def_32,type,
tb2t1: uni > list_lpa1cm_a1rp ).
tff(func_def_33,type,
t2tb2: lpa1cm_a1rp > uni ).
tff(func_def_34,type,
tb2t2: uni > lpa1cm_a1rp ).
tff(func_def_35,type,
t2tb3: list_a1 > uni ).
tff(func_def_36,type,
tb2t3: uni > list_a1 ).
tff(func_def_38,type,
sK0: ( uni * uni * ty ) > uni ).
tff(func_def_39,type,
sK1: ( uni * uni * ty ) > uni ).
tff(func_def_40,type,
sK2: list_a1 ).
tff(func_def_41,type,
sK3: list_a1 ).
tff(func_def_42,type,
sK4: list_a1 ).
tff(func_def_43,type,
sK5: a ).
tff(func_def_44,type,
sK6: list_a1 ).
tff(func_def_45,type,
sK7: list_lpa1cm_a1rp ).
tff(func_def_46,type,
sK8: a ).
tff(func_def_47,type,
sK9: list_a1 ).
tff(func_def_48,type,
sK10: list_a1 ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(f341,plain,
$false,
inference(subsumption_resolution,[],[f340,f250]) ).
tff(f250,plain,
! [X0: list_a1] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: list_a1] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X19: list_a1] : ( tb2t3(t2tb3(X19)) = X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL3) ).
tff(f340,plain,
tb2t3(t2tb3(sK3)) != sK3,
inference(forward_demodulation,[],[f339,f299]) ).
tff(f299,plain,
infix_plpl(a1,t2tb3(sK10),t2tb3(sK6)) = t2tb3(sK3),
inference(superposition,[],[f252,f268]) ).
tff(f268,plain,
sK3 = tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK6))),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
( ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK2)))
& ( sK6 = tb2t3(cons(a1,t2tb(sK8),t2tb3(sK9))) )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(sK8)),t2tb1(sK7))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) )
& ( sK3 = tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK6))) )
& ( length(a1,t2tb3(sK10)) = length(a1,t2tb3(sK4)) )
& ( sK7 = tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(sK10)))) )
& ( sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4))) )
& ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK4))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f188,f193,f192,f191,f190,f189]) ).
tff(f189,plain,
( ? [X0: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
& ? [X2: list_a1,X3: a] :
( ? [X4: list_a1,X5: list_lpa1cm_a1rp] :
( ? [X6: a,X7: list_a1] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X6)),t2tb1(X5))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X8)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = X1 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X9)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X9)))) = X5 ) ) )
& ( tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X0 )
& ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X2))) ) )
=> ( ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK2)))
& ? [X3: a,X2: list_a1] :
( ? [X5: list_lpa1cm_a1rp,X4: list_a1] :
( ? [X7: list_a1,X6: a] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X6)),t2tb1(X5))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = sK3 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X9)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X9)))) = X5 ) ) )
& ( sK2 = tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) )
& ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(X2))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f190,plain,
( ? [X3: a,X2: list_a1] :
( ? [X5: list_lpa1cm_a1rp,X4: list_a1] :
( ? [X7: list_a1,X6: a] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X6)),t2tb1(X5))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = sK3 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X9)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X9)))) = X5 ) ) )
& ( sK2 = tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) )
& ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(X2))) )
=> ( ? [X5: list_lpa1cm_a1rp,X4: list_a1] :
( ? [X7: list_a1,X6: a] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(X6)),t2tb1(X5))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = sK3 )
& ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4)) )
& ( tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(X9)))) = X5 ) ) )
& ( sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4))) )
& ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK4))) ) ),
introduced(choice_axiom,[]) ).
tff(f191,plain,
( ? [X5: list_lpa1cm_a1rp,X4: list_a1] :
( ? [X7: list_a1,X6: a] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(X6)),t2tb1(X5))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = sK3 )
& ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4)) )
& ( tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(X9)))) = X5 ) ) )
=> ( ? [X7: list_a1,X6: a] :
( ( sK6 = tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(X6)),t2tb1(sK7))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK6))) = sK3 )
& ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4)) )
& ( tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(X9)))) = sK7 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f192,plain,
( ? [X7: list_a1,X6: a] :
( ( sK6 = tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(X6)),t2tb1(sK7))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) )
=> ( ( sK6 = tb2t3(cons(a1,t2tb(sK8),t2tb3(sK9))) )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(sK8)),t2tb1(sK7))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f193,plain,
( ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK6))) = sK3 )
& ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4)) )
& ( tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(X9)))) = sK7 ) )
=> ( ( sK3 = tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK6))) )
& ( length(a1,t2tb3(sK10)) = length(a1,t2tb3(sK4)) )
& ( sK7 = tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(sK10)))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f188,plain,
? [X0: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
& ? [X2: list_a1,X3: a] :
( ? [X4: list_a1,X5: list_lpa1cm_a1rp] :
( ? [X6: a,X7: list_a1] :
( ( tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X4 )
& ! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(X7))) != X1 )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X6)),t2tb1(X5))) != tb2t1(combine(a1,a1,t2tb3(X0),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X8)) ) ) )
& ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X4))) = X1 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X9)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X9)))) = X5 ) ) )
& ( tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X0 )
& ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X2))) ) ),
inference(rectify,[],[f145]) ).
tff(f145,plain,
? [X1: list_a1,X0: list_a1] :
( ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1)))
& ? [X2: list_a1,X3: a] :
( ? [X5: list_a1,X4: list_lpa1cm_a1rp] :
( ? [X7: a,X8: list_a1] :
( ( tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5 )
& ! [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X0 )
| ( tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X9)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X7)),t2tb1(X4))) )
| ( length(a1,t2tb3(X1)) != length(a1,t2tb3(X9)) ) ) )
& ? [X6: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X0 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X6)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X6)))) = X4 ) ) )
& ( tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X1 )
& ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X2))) ) ),
inference(flattening,[],[f144]) ).
tff(f144,plain,
? [X1: list_a1,X0: list_a1] :
( ? [X2: list_a1,X3: a] :
( ? [X5: list_a1,X4: list_lpa1cm_a1rp] :
( ? [X7: a,X8: list_a1] :
( ( tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5 )
& ! [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) != X0 )
| ( tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X9)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X7)),t2tb1(X4))) )
| ( length(a1,t2tb3(X1)) != length(a1,t2tb3(X9)) ) ) )
& ? [X6: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X0 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X6)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X6)))) = X4 ) ) )
& ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X2)))
& ( tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X1 ) )
& ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
~ ! [X1: list_a1,X0: list_a1] :
( ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1)))
=> ! [X2: list_a1,X3: a] :
( ( tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X1 )
=> ( ~ $less(length(a1,t2tb3(X0)),length(a1,t2tb3(X2)))
=> ! [X4: list_lpa1cm_a1rp,X5: list_a1] :
( ? [X6: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X6),t2tb3(X5))) = X0 )
& ( length(a1,t2tb3(X2)) = length(a1,t2tb3(X6)) )
& ( tb2t1(combine(a1,a1,t2tb3(X2),reverse(a1,t2tb3(X6)))) = X4 ) )
=> ! [X8: list_a1,X7: a] :
( ( tb2t3(cons(a1,t2tb(X7),t2tb3(X8))) = X5 )
=> ? [X9: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X0 )
& ( length(a1,t2tb3(X1)) = length(a1,t2tb3(X9)) )
& ( tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X9)))) = tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X3),t2tb(X7)),t2tb1(X4))) ) ) ) ) ) ) ),
inference(rectify,[],[f62]) ).
tff(f62,plain,
~ ! [X7: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X7)),length(a1,t2tb3(X1)))
=> ! [X3: list_a1,X2: a] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1 )
=> ( ~ $less(length(a1,t2tb3(X7)),length(a1,t2tb3(X3)))
=> ! [X21: list_lpa1cm_a1rp,X22: list_a1] :
( ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X7 )
& ( length(a1,t2tb3(X3)) = length(a1,t2tb3(X23)) )
& ( tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X23)))) = X21 ) )
=> ! [X17: a,X18: list_a1] :
( ( tb2t3(cons(a1,t2tb(X17),t2tb3(X18))) = X22 )
=> ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X18))) = X7 )
& ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X17)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X23)))) )
& ( length(a1,t2tb3(X1)) = length(a1,t2tb3(X23)) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f59]) ).
tff(f59,negated_conjecture,
~ ! [X7: list_a1,X1: list_a1] :
( $lesseq(length(a1,t2tb3(X1)),length(a1,t2tb3(X7)))
=> ! [X3: list_a1,X2: a] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1 )
=> ( $lesseq(length(a1,t2tb3(X3)),length(a1,t2tb3(X7)))
=> ! [X21: list_lpa1cm_a1rp,X22: list_a1] :
( ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X7 )
& ( length(a1,t2tb3(X3)) = length(a1,t2tb3(X23)) )
& ( tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X23)))) = X21 ) )
=> ! [X17: a,X18: list_a1] :
( ( tb2t3(cons(a1,t2tb(X17),t2tb3(X18))) = X22 )
=> ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X18))) = X7 )
& ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X17)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X23)))) )
& ( length(a1,t2tb3(X1)) = length(a1,t2tb3(X23)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f58]) ).
tff(f58,conjecture,
! [X7: list_a1,X1: list_a1] :
( $lesseq(length(a1,t2tb3(X1)),length(a1,t2tb3(X7)))
=> ! [X3: list_a1,X2: a] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1 )
=> ( $lesseq(length(a1,t2tb3(X3)),length(a1,t2tb3(X7)))
=> ! [X21: list_lpa1cm_a1rp,X22: list_a1] :
( ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X22))) = X7 )
& ( length(a1,t2tb3(X3)) = length(a1,t2tb3(X23)) )
& ( tb2t1(combine(a1,a1,t2tb3(X3),reverse(a1,t2tb3(X23)))) = X21 ) )
=> ! [X17: a,X18: list_a1] :
( ( tb2t3(cons(a1,t2tb(X17),t2tb3(X18))) = X22 )
=> ? [X23: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X23),t2tb3(X18))) = X7 )
& ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(X2),t2tb(X17)),t2tb1(X21))) = tb2t1(combine(a1,a1,t2tb3(X1),reverse(a1,t2tb3(X23)))) )
& ( length(a1,t2tb3(X1)) = length(a1,t2tb3(X23)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_convolution_rec) ).
tff(f252,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X20: uni] : ( t2tb3(tb2t3(X20)) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3) ).
tff(f339,plain,
sK3 != tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK6))),
inference(forward_demodulation,[],[f338,f225]) ).
tff(f225,plain,
! [X0: uni,X1: ty] : ( reverse(X1,reverse(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: uni,X1: ty] : ( reverse(X1,reverse(X1,X0)) = X0 ),
inference(rectify,[],[f110]) ).
tff(f110,plain,
! [X1: uni,X0: ty] : ( reverse(X0,reverse(X0,X1)) = X1 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X0: ty,X12: uni] : ( reverse(X0,reverse(X0,X12)) = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_reverse) ).
tff(f338,plain,
tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK10))),t2tb3(sK6))) != sK3,
inference(forward_demodulation,[],[f337,f301]) ).
tff(f301,plain,
t2tb3(sK6) = cons(a1,t2tb(sK8),t2tb3(sK9)),
inference(superposition,[],[f252,f270]) ).
tff(f270,plain,
sK6 = tb2t3(cons(a1,t2tb(sK8),t2tb3(sK9))),
inference(cnf_transformation,[],[f194]) ).
tff(f337,plain,
tb2t3(infix_plpl(a1,reverse(a1,reverse(a1,t2tb3(sK10))),cons(a1,t2tb(sK8),t2tb3(sK9)))) != sK3,
inference(forward_demodulation,[],[f336,f241]) ).
tff(f241,plain,
! [X2: uni,X3: ty,X0: uni,X1: uni] : ( infix_plpl(X3,reverse(X3,cons(X3,X2,X1)),X0) = infix_plpl(X3,reverse(X3,X1),cons(X3,X2,X0)) ),
inference(cnf_transformation,[],[f179]) ).
tff(f179,plain,
! [X0: uni,X1: uni,X2: uni,X3: ty] : ( infix_plpl(X3,reverse(X3,cons(X3,X2,X1)),X0) = infix_plpl(X3,reverse(X3,X1),cons(X3,X2,X0)) ),
inference(rectify,[],[f123]) ).
tff(f123,plain,
! [X2: uni,X1: uni,X0: uni,X3: ty] : ( infix_plpl(X3,reverse(X3,X1),cons(X3,X0,X2)) = infix_plpl(X3,reverse(X3,cons(X3,X0,X1)),X2) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X1: uni,X14: uni,X13: uni,X0: ty] : ( infix_plpl(X0,reverse(X0,cons(X0,X1,X14)),X13) = infix_plpl(X0,reverse(X0,X14),cons(X0,X1,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_append) ).
tff(f336,plain,
tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))),t2tb3(sK9))) != sK3,
inference(subsumption_resolution,[],[f335,f311]) ).
tff(f311,plain,
length(a1,t2tb3(sK2)) = $sum(1,length(a1,t2tb3(sK4))),
inference(superposition,[],[f244,f284]) ).
tff(f284,plain,
cons(a1,t2tb(sK5),t2tb3(sK4)) = t2tb3(sK2),
inference(superposition,[],[f252,f265]) ).
tff(f265,plain,
sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4))),
inference(cnf_transformation,[],[f194]) ).
tff(f244,plain,
! [X2: uni,X0: ty,X1: uni] : ( length(X0,cons(X0,X2,X1)) = $sum(1,length(X0,X1)) ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: ty] :
( ( 0 = length(X0,nil(X0)) )
& ! [X1: uni,X2: uni] : ( length(X0,cons(X0,X2,X1)) = $sum(1,length(X0,X1)) ) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ( 0 = length(X0,nil(X0)) )
& ! [X2: uni,X1: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def) ).
tff(f335,plain,
( ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,t2tb3(sK4))) )
| ( tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))),t2tb3(sK9))) != sK3 ) ),
inference(forward_demodulation,[],[f334,f267]) ).
tff(f267,plain,
length(a1,t2tb3(sK10)) = length(a1,t2tb3(sK4)),
inference(cnf_transformation,[],[f194]) ).
tff(f334,plain,
( ( $sum(1,length(a1,t2tb3(sK10))) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))),t2tb3(sK9))) != sK3 ) ),
inference(forward_demodulation,[],[f333,f233]) ).
tff(f233,plain,
! [X0: ty,X1: uni] : ( length(X0,reverse(X0,X1)) = length(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: ty,X1: uni] : ( length(X0,reverse(X0,X1)) = length(X0,X1) ),
inference(rectify,[],[f109]) ).
tff(f109,plain,
! [X1: ty,X0: uni] : ( length(X1,reverse(X1,X0)) = length(X1,X0) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X12: uni,X0: ty] : ( length(X0,X12) = length(X0,reverse(X0,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reverse_length) ).
tff(f333,plain,
( ( $sum(1,length(a1,reverse(a1,t2tb3(sK10)))) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))),t2tb3(sK9))) != sK3 ) ),
inference(forward_demodulation,[],[f332,f244]) ).
tff(f332,plain,
( ( length(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,reverse(a1,cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10)))),t2tb3(sK9))) != sK3 ) ),
inference(equality_resolution,[],[f294]) ).
tff(f294,plain,
! [X0: uni] :
( ( tb2t1(combine(a1,a1,t2tb3(sK2),cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10))))) != tb2t1(combine(a1,a1,t2tb3(sK2),X0)) )
| ( tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK9))) != sK3 )
| ( length(a1,t2tb3(sK2)) != length(a1,X0) ) ),
inference(forward_demodulation,[],[f291,f233]) ).
tff(f291,plain,
! [X0: uni] :
( ( tb2t3(infix_plpl(a1,reverse(a1,X0),t2tb3(sK9))) != sK3 )
| ( tb2t1(combine(a1,a1,t2tb3(sK2),cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10))))) != tb2t1(combine(a1,a1,t2tb3(sK2),X0)) )
| ( length(a1,t2tb3(sK2)) != length(a1,reverse(a1,X0)) ) ),
inference(superposition,[],[f288,f225]) ).
tff(f288,plain,
! [X0: uni] :
( ( tb2t1(combine(a1,a1,t2tb3(sK2),cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10))))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,X0))) )
| ( tb2t3(infix_plpl(a1,X0,t2tb3(sK9))) != sK3 )
| ( length(a1,t2tb3(sK2)) != length(a1,X0) ) ),
inference(superposition,[],[f286,f252]) ).
tff(f286,plain,
! [X8: list_a1] :
( ( tb2t1(combine(a1,a1,t2tb3(sK2),cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10))))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 ) ),
inference(backward_demodulation,[],[f282,f284]) ).
tff(f282,plain,
! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) )
| ( tb2t1(combine(a1,a1,cons(a1,t2tb(sK5),t2tb3(sK4)),cons(a1,t2tb(sK8),reverse(a1,t2tb3(sK10))))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) ) ),
inference(forward_demodulation,[],[f281,f258]) ).
tff(f258,plain,
! [X2: ty,X3: uni,X1: ty,X6: uni,X4: uni,X5: uni] : ( combine(X1,X2,cons(X2,X6,X5),cons(X1,X4,X3)) = cons(tuple2(X2,X1),tuple21(X2,X1,X6,X4),combine(X1,X2,X5,X3)) ),
inference(cnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: uni,X1: ty,X2: ty] :
( ( nil(tuple2(X2,X1)) = combine(X1,X2,X0,nil(X1)) )
& ! [X3: uni,X4: uni] :
( ! [X5: uni,X6: uni] : ( combine(X1,X2,cons(X2,X6,X5),cons(X1,X4,X3)) = cons(tuple2(X2,X1),tuple21(X2,X1,X6,X4),combine(X1,X2,X5,X3)) )
& ( nil(tuple2(X2,X1)) = combine(X1,X2,nil(X2),cons(X1,X4,X3)) ) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
! [X1: uni,X2: ty,X0: ty] :
( ( nil(tuple2(X0,X2)) = combine(X2,X0,X1,nil(X2)) )
& ! [X3: uni,X4: uni] :
( ! [X6: uni,X5: uni] : ( cons(tuple2(X0,X2),tuple21(X0,X2,X5,X4),combine(X2,X0,X6,X3)) = combine(X2,X0,cons(X0,X5,X6),cons(X2,X4,X3)) )
& ( combine(X2,X0,nil(X0),cons(X2,X4,X3)) = nil(tuple2(X0,X2)) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X0: ty,X1: uni,X16: ty] :
( ( combine(X16,X0,X1,nil(X16)) = nil(tuple2(X0,X16)) )
& ! [X3: uni,X2: uni] :
( ( nil(tuple2(X0,X16)) = combine(X16,X0,nil(X0),cons(X16,X2,X3)) )
& ! [X17: uni,X18: uni] : ( combine(X16,X0,cons(X0,X17,X18),cons(X16,X2,X3)) = cons(tuple2(X0,X16),tuple21(X0,X16,X17,X2),combine(X16,X0,X18,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',combine_def) ).
tff(f281,plain,
! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) )
| ( tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(sK8)),combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(sK10))))) ) ),
inference(forward_demodulation,[],[f280,f261]) ).
tff(f261,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f51]) ).
tff(f51,axiom,
! [X20: uni] : ( t2tb1(tb2t1(X20)) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1) ).
tff(f280,plain,
! [X8: list_a1] :
( ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) != tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(sK8)),t2tb1(tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(sK10))))))) ) ),
inference(forward_demodulation,[],[f269,f266]) ).
tff(f266,plain,
sK7 = tb2t1(combine(a1,a1,t2tb3(sK4),reverse(a1,t2tb3(sK10)))),
inference(cnf_transformation,[],[f194]) ).
tff(f269,plain,
! [X8: list_a1] :
( ( tb2t3(infix_plpl(a1,t2tb3(X8),t2tb3(sK9))) != sK3 )
| ( length(a1,t2tb3(X8)) != length(a1,t2tb3(sK2)) )
| ( tb2t1(cons(tuple2(a1,a1),tuple21(a1,a1,t2tb(sK5),t2tb(sK8)),t2tb1(sK7))) != tb2t1(combine(a1,a1,t2tb3(sK2),reverse(a1,t2tb3(X8)))) ) ),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW648=2 : TPTP v8.1.0. Released v6.1.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 21:10:14 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (8044)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.46 % (8053)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.14/0.46 % (8044)Instruction limit reached!
% 0.14/0.46 % (8044)------------------------------
% 0.14/0.46 % (8044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (8044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (8044)Termination reason: Unknown
% 0.14/0.46 % (8044)Termination phase: Property scanning
% 0.14/0.46
% 0.14/0.46 % (8044)Memory used [KB]: 1023
% 0.14/0.46 % (8044)Time elapsed: 0.004 s
% 0.14/0.46 % (8044)Instructions burned: 2 (million)
% 0.14/0.46 % (8044)------------------------------
% 0.14/0.46 % (8044)------------------------------
% 0.14/0.46 % (8036)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.14/0.47 % (8035)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.14/0.48 % (8052)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48 % (8043)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.49 % (8032)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.49 % (8032)Instruction limit reached!
% 0.14/0.49 % (8032)------------------------------
% 0.14/0.49 % (8032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (8032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (8032)Termination reason: Unknown
% 0.14/0.49 % (8032)Termination phase: Property scanning
% 0.14/0.49
% 0.14/0.49 % (8032)Memory used [KB]: 1023
% 0.14/0.49 % (8032)Time elapsed: 0.002 s
% 0.14/0.49 % (8032)Instructions burned: 2 (million)
% 0.14/0.49 % (8032)------------------------------
% 0.14/0.49 % (8032)------------------------------
% 0.14/0.50 % (8030)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.50 % (8033)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.50 % (8031)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.51 % (8046)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.51 % (8055)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.51 % (8031)Instruction limit reached!
% 0.14/0.51 % (8031)------------------------------
% 0.14/0.51 % (8031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (8031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (8031)Termination reason: Unknown
% 0.14/0.51 % (8031)Termination phase: Saturation
% 0.14/0.51
% 0.14/0.51 % (8031)Memory used [KB]: 5628
% 0.14/0.51 % (8031)Time elapsed: 0.006 s
% 0.14/0.51 % (8031)Instructions burned: 8 (million)
% 0.14/0.51 % (8031)------------------------------
% 0.14/0.51 % (8031)------------------------------
% 0.14/0.51 % (8034)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.51 % (8054)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.14/0.51 % (8029)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.14/0.51 % (8048)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.51 % (8045)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.51 % (8048)Instruction limit reached!
% 0.14/0.51 % (8048)------------------------------
% 0.14/0.51 % (8048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (8048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (8048)Termination reason: Unknown
% 0.14/0.51 % (8048)Termination phase: Preprocessing 1
% 0.14/0.51
% 0.14/0.51 % (8045)Instruction limit reached!
% 0.14/0.51 % (8045)------------------------------
% 0.14/0.51 % (8045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (8045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (8048)Memory used [KB]: 1023
% 0.14/0.51 % (8045)Termination reason: Unknown
% 0.14/0.51 % (8048)Time elapsed: 0.003 s
% 0.14/0.51 % (8045)Termination phase: Property scanning
% 0.14/0.51 % (8048)Instructions burned: 3 (million)
% 0.14/0.51
% 0.14/0.51 % (8048)------------------------------
% 0.14/0.51 % (8048)------------------------------
% 0.14/0.51 % (8045)Memory used [KB]: 1023
% 0.14/0.51 % (8045)Time elapsed: 0.002 s
% 0.14/0.51 % (8045)Instructions burned: 2 (million)
% 0.14/0.51 % (8045)------------------------------
% 0.14/0.51 % (8045)------------------------------
% 0.14/0.52 % (8037)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.14/0.52 % (8040)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.52 % (8051)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.52 % (8040)Instruction limit reached!
% 0.14/0.52 % (8040)------------------------------
% 0.14/0.52 % (8040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (8040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (8040)Termination reason: Unknown
% 0.14/0.52 % (8040)Termination phase: Preprocessing 1
% 0.14/0.52
% 0.14/0.52 % (8040)Memory used [KB]: 1023
% 0.14/0.52 % (8040)Time elapsed: 0.003 s
% 0.14/0.52 % (8040)Instructions burned: 4 (million)
% 0.14/0.52 % (8040)------------------------------
% 0.14/0.52 % (8040)------------------------------
% 0.14/0.52 % (8041)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.52 % (8050)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.14/0.52 % (8041)Instruction limit reached!
% 0.14/0.52 % (8041)------------------------------
% 0.14/0.52 % (8041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (8041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (8041)Termination reason: Unknown
% 0.14/0.52 % (8041)Termination phase: shuffling
% 0.14/0.52
% 0.14/0.52 % (8041)Memory used [KB]: 1023
% 0.14/0.52 % (8041)Time elapsed: 0.002 s
% 0.14/0.52 % (8041)Instructions burned: 2 (million)
% 0.14/0.52 % (8041)------------------------------
% 0.14/0.52 % (8041)------------------------------
% 0.14/0.52 % (8035)Instruction limit reached!
% 0.14/0.52 % (8035)------------------------------
% 0.14/0.52 % (8035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (8035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (8035)Termination reason: Unknown
% 0.14/0.52 % (8035)Termination phase: Saturation
% 0.14/0.52
% 0.14/0.52 % (8035)Memory used [KB]: 6268
% 0.14/0.52 % (8035)Time elapsed: 0.147 s
% 0.14/0.52 % (8035)Instructions burned: 32 (million)
% 0.14/0.52 % (8035)------------------------------
% 0.14/0.52 % (8035)------------------------------
% 0.14/0.52 % (8049)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.52 % (8030)First to succeed.
% 0.14/0.52 % (8047)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.53 % (8042)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.14/0.53 % (8038)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.53 % (8038)Instruction limit reached!
% 0.14/0.53 % (8038)------------------------------
% 0.14/0.53 % (8038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (8038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (8038)Termination reason: Unknown
% 0.14/0.53 % (8038)Termination phase: Property scanning
% 0.14/0.53
% 0.14/0.53 % (8038)Memory used [KB]: 1023
% 0.14/0.53 % (8038)Time elapsed: 0.002 s
% 0.14/0.53 % (8038)Instructions burned: 2 (million)
% 0.14/0.53 % (8038)------------------------------
% 0.14/0.53 % (8038)------------------------------
% 0.14/0.53 % (8058)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.14/0.53 % (8036)Instruction limit reached!
% 0.14/0.53 % (8036)------------------------------
% 0.14/0.53 % (8036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (8036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (8036)Termination reason: Unknown
% 0.14/0.53 % (8036)Termination phase: Saturation
% 0.14/0.53
% 0.14/0.53 % (8036)Memory used [KB]: 6268
% 0.14/0.53 % (8036)Time elapsed: 0.130 s
% 0.14/0.53 % (8036)Instructions burned: 36 (million)
% 0.14/0.53 % (8036)------------------------------
% 0.14/0.53 % (8036)------------------------------
% 0.14/0.53 % (8039)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.14/0.54 % (8034)Instruction limit reached!
% 0.14/0.54 % (8034)------------------------------
% 0.14/0.54 % (8034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (8034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (8034)Termination reason: Unknown
% 0.14/0.54 % (8034)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (8034)Memory used [KB]: 5756
% 0.14/0.54 % (8034)Time elapsed: 0.171 s
% 0.14/0.54 % (8034)Instructions burned: 15 (million)
% 0.14/0.54 % (8034)------------------------------
% 0.14/0.54 % (8034)------------------------------
% 0.14/0.54 % (8057)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.14/0.54 % (8056)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.14/0.55 % (8030)Refutation found. Thanks to Tanya!
% 0.14/0.55 % SZS status Theorem for theBenchmark
% 0.14/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.55 % (8030)------------------------------
% 0.14/0.55 % (8030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (8030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (8030)Termination reason: Refutation
% 0.14/0.55
% 0.14/0.55 % (8030)Memory used [KB]: 5884
% 0.14/0.55 % (8030)Time elapsed: 0.147 s
% 0.14/0.55 % (8030)Instructions burned: 16 (million)
% 0.14/0.55 % (8030)------------------------------
% 0.14/0.55 % (8030)------------------------------
% 0.14/0.55 % (8028)Success in time 0.24 s
%------------------------------------------------------------------------------