TSTP Solution File: SWW624_2 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW624_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 18:53:52 EDT 2024
% Result : Theorem 6.27s 1.32s
% Output : Refutation 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 32 ~; 26 |; 8 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 82 ( 14 atm; 22 fun; 34 num; 12 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 51 ( 45 usr; 14 con; 0-5 aty)
% Number of variables : 99 ( 95 !; 4 ?; 99 :)
% 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,
elt: $tType ).
tff(type_def_10,type,
list_elt: $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,
num_occ: ( ty * uni * uni ) > $int ).
tff(func_def_23,type,
reverse: ( ty * uni ) > uni ).
tff(func_def_24,type,
elt1: ty ).
tff(func_def_25,type,
t2tb: list_elt > uni ).
tff(func_def_26,type,
tb2t: uni > list_elt ).
tff(func_def_27,type,
t2tb1: elt > uni ).
tff(func_def_28,type,
tb2t1: uni > elt ).
tff(func_def_29,type,
rev_append: ( ty * uni * uni ) > uni ).
tff(func_def_30,type,
prefix: ( ty * $int * uni ) > uni ).
tff(func_def_32,type,
abs: $int > $int ).
tff(func_def_34,type,
div: ( $int * $int ) > $int ).
tff(func_def_35,type,
mod: ( $int * $int ) > $int ).
tff(func_def_36,type,
sK0: elt ).
tff(func_def_37,type,
sK1: list_elt ).
tff(func_def_38,type,
sK2: list_elt > elt ).
tff(func_def_39,type,
sK3: list_elt > elt ).
tff(func_def_40,type,
sK4: list_elt > list_elt ).
tff(func_def_41,type,
sK5: list_elt > elt ).
tff(func_def_42,type,
sK6: ( list_elt * list_elt ) > elt ).
tff(func_def_43,type,
sK7: ( list_elt * list_elt ) > elt ).
tff(func_def_44,type,
sK8: ( list_elt * elt ) > elt ).
tff(func_def_45,type,
sK9: ( list_elt * list_elt ) > elt ).
tff(func_def_46,type,
sK10: ( list_elt * list_elt ) > elt ).
tff(func_def_47,type,
sK11: ( elt * list_elt ) > elt ).
tff(func_def_48,type,
sK12: ( ty * uni * uni ) > uni ).
tff(func_def_49,type,
sK13: ( ty * uni * uni ) > uni ).
tff(func_def_50,type,
sK14: ( ty * uni * uni ) > uni ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
permut: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
le: ( elt * elt ) > $o ).
tff(pred_def_7,type,
sorted: list_elt > $o ).
tff(f16081,plain,
$false,
inference(avatar_sat_refutation,[],[f483,f488,f498,f16080]) ).
tff(f16080,plain,
( spl15_2
| ~ spl15_3 ),
inference(avatar_contradiction_clause,[],[f16079]) ).
tff(f16079,plain,
( $false
| spl15_2
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f16071,f487]) ).
tff(f487,plain,
( permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f485]) ).
tff(f485,plain,
( spl15_3
<=> permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
tff(f16071,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))
| spl15_2 ),
inference(resolution,[],[f16008,f448]) ).
tff(f448,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
| ~ permut(X0,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tff(f278,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( permut(X0,cons(X0,X1,X2),cons(X0,X1,X3))
| ~ permut(X0,X2,X3) ),
inference(ennf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: ty,X1: uni,X2: uni,X3: uni] :
( permut(X0,X2,X3)
=> permut(X0,cons(X0,X1,X2),cons(X0,X1,X3)) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X0: ty,X1: uni,X14: uni,X13: uni] :
( permut(X0,X14,X13)
=> permut(X0,cons(X0,X1,X14),cons(X0,X1,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f16008,plain,
( ~ permut(elt1,cons(elt1,t2tb1(sK0),prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
| spl15_2 ),
inference(backward_demodulation,[],[f499,f16004]) ).
tff(f16004,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni] : ( cons(X0,X3,prefix(X0,length(X1,X2),X4)) = prefix(X0,$sum(1,length(X1,X2)),cons(X0,X3,X4)) ),
inference(forward_demodulation,[],[f15908,f121]) ).
tff(f121,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f15908,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty,X4: uni] : ( prefix(X0,$sum(length(X1,X2),1),cons(X0,X3,X4)) = cons(X0,X3,prefix(X0,length(X1,X2),X4)) ),
inference(resolution,[],[f2095,f349]) ).
tff(f349,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(rectify,[],[f105]) ).
tff(f105,plain,
! [X0: ty,X12: uni] : ~ $less(length(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length(X0,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2095,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( $less(X1,0)
| ( prefix(X0,$sum(X1,1),cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,X1,X3)) ) ),
inference(evaluation,[],[f2070]) ).
tff(f2070,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( prefix(X0,$sum(X1,1),cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum($sum(X1,1),-1),X3)) )
| $less(X1,0) ),
inference(resolution,[],[f471,f130]) ).
tff(f130,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f471,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ~ $less(0,X1)
| ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,-1),X3)) ) ),
inference(evaluation,[],[f446]) ).
tff(f446,plain,
! [X2: uni,X3: uni,X0: ty,X1: $int] :
( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: ty,X1: $int,X2: uni,X3: uni] :
( ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) )
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: ty,X1: $int,X2: uni,X3: uni] :
( $less(0,X1)
=> ( prefix(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,prefix(X0,$sum(X1,$uminus(1)),X3)) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
! [X0: ty,X24: $int,X1: uni,X12: uni] :
( $less(0,X24)
=> ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$sum(X24,$uminus(1)),X12)) ) ),
inference(theory_normalization,[],[f81]) ).
tff(f81,axiom,
! [X0: ty,X24: $int,X1: uni,X12: uni] :
( $less(0,X24)
=> ( prefix(X0,X24,cons(X0,X1,X12)) = cons(X0,X1,prefix(X0,$difference(X24,1),X12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f499,plain,
( ~ permut(elt1,prefix(elt1,$sum(1,length(elt1,t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
| spl15_2 ),
inference(forward_demodulation,[],[f482,f338]) ).
tff(f338,plain,
! [X2: uni,X0: ty,X1: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ! [X1: uni,X2: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) )
& ( 0 = length(X0,nil(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f482,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
| spl15_2 ),
inference(avatar_component_clause,[],[f480]) ).
tff(f480,plain,
( spl15_2
<=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
tff(f498,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f497]) ).
tff(f497,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f496,f348]) ).
tff(f348,plain,
! [X0: ty,X1: uni] : permut(X0,X1,X1),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: ty,X1: uni] : permut(X0,X1,X1),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0: ty,X12: uni] : permut(X0,X12,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f496,plain,
( ~ permut(elt1,nil(elt1),nil(elt1))
| spl15_1 ),
inference(forward_demodulation,[],[f495,f353]) ).
tff(f353,plain,
! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: ty,X1: uni] : ( nil(X0) = prefix(X0,0,X1) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X0: ty,X12: uni] : ( nil(X0) = prefix(X0,0,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f495,plain,
( ~ permut(elt1,prefix(elt1,0,nil(elt1)),nil(elt1))
| spl15_1 ),
inference(forward_demodulation,[],[f478,f337]) ).
tff(f337,plain,
! [X0: ty] : ( 0 = length(X0,nil(X0)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f478,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1))
| spl15_1 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f476,plain,
( spl15_1
<=> permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
tff(f488,plain,
( ~ spl15_1
| spl15_3 ),
inference(avatar_split_clause,[],[f320,f485,f476]) ).
tff(f320,plain,
( permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1))
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
( ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) )
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f224,f288]) ).
tff(f288,plain,
( ? [X0: elt,X1: list_elt] :
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
=> ( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(sK1)),t2tb(sK1)),t2tb(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f224,plain,
( ? [X0: elt,X1: list_elt] :
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1)))
& permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1)) )
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
~ ( ! [X0: elt,X1: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X1)),t2tb(X1)),t2tb(X1))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))),cons(elt1,t2tb1(X0),t2tb(X1))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(rectify,[],[f102]) ).
tff(f102,negated_conjecture,
~ ( ! [X1: elt,X2: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(negated_conjecture,[],[f101]) ).
tff(f101,conjecture,
( ! [X1: elt,X2: list_elt] :
( permut(elt1,prefix(elt1,length(elt1,t2tb(X2)),t2tb(X2)),t2tb(X2))
=> permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))),cons(elt1,t2tb1(X1),t2tb(X2))) )
& permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f483,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f321,f480,f476]) ).
tff(f321,plain,
( ~ permut(elt1,prefix(elt1,length(elt1,cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1))),cons(elt1,t2tb1(sK0),t2tb(sK1)))
| ~ permut(elt1,prefix(elt1,length(elt1,nil(elt1)),nil(elt1)),nil(elt1)) ),
inference(cnf_transformation,[],[f289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW624_2 : TPTP v8.2.0. Released v6.1.0.
% 0.08/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 06:46:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TF0_THM_EQU_ARI problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32631)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32632)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)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32630)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)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32629)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32634)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)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32635)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)
% 0.23/0.43 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (32633)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.44 % (32632)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.44 % (32632)Terminated due to inappropriate strategy.
% 0.23/0.44 % (32632)------------------------------
% 0.23/0.44 % (32632)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44 % (32632)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44 % (32632)Termination reason: Inappropriate
% 0.23/0.44
% 0.23/0.44 % (32632)Memory used [KB]: 928
% 0.23/0.44 % (32632)Time elapsed: 0.007 s
% 0.23/0.44 % (32632)Instructions burned: 10 (million)
% 0.23/0.44 % (32629)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.44 % (32632)------------------------------
% 0.23/0.44 % (32632)------------------------------
% 0.23/0.44 % (32629)Terminated due to inappropriate strategy.
% 0.23/0.44 % (32629)------------------------------
% 0.23/0.44 % (32629)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44 % (32629)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44 % (32629)Termination reason: Inappropriate
% 0.23/0.44
% 0.23/0.44 % (32629)Memory used [KB]: 910
% 0.23/0.44 % (32629)Time elapsed: 0.006 s
% 0.23/0.44 % (32629)Instructions burned: 10 (million)
% 0.23/0.44 % (32631)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.44 % (32631)Terminated due to inappropriate strategy.
% 0.23/0.44 % (32631)------------------------------
% 0.23/0.44 % (32631)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44 % (32631)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44 % (32631)Termination reason: Inappropriate
% 0.23/0.44
% 0.23/0.44 % (32631)Memory used [KB]: 976
% 0.23/0.44 % (32631)Time elapsed: 0.007 s
% 0.23/0.44 % (32631)Instructions burned: 12 (million)
% 0.23/0.44 % (32629)------------------------------
% 0.23/0.44 % (32629)------------------------------
% 0.23/0.44 % (32631)------------------------------
% 0.23/0.44 % (32631)------------------------------
% 0.23/0.50 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50 % (32660)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)
% 0.23/0.50 % (32635)Instruction limit reached!
% 0.23/0.50 % (32635)------------------------------
% 0.23/0.50 % (32635)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (32635)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (32635)Termination reason: Time limit
% 0.23/0.50 % (32635)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (32635)Memory used [KB]: 2233
% 0.23/0.50 % (32635)Time elapsed: 0.069 s
% 0.23/0.50 % (32635)Instructions burned: 115 (million)
% 0.23/0.50 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50 % (32658)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)
% 0.23/0.51 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51 % (32659)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.23/0.51 % (32633)Instruction limit reached!
% 0.23/0.51 % (32633)------------------------------
% 0.23/0.51 % (32633)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51 % (32633)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51 % (32633)Termination reason: Time limit
% 0.23/0.51 % (32633)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (32633)Memory used [KB]: 1982
% 0.23/0.51 % (32633)Time elapsed: 0.079 s
% 0.23/0.51 % (32633)Instructions burned: 105 (million)
% 0.23/0.52 % (32634)Instruction limit reached!
% 0.23/0.52 % (32634)------------------------------
% 0.23/0.52 % (32634)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52 % (32634)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52 % (32634)Termination reason: Time limit
% 0.23/0.52 % (32634)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (32634)Memory used [KB]: 2362
% 0.23/0.52 % (32634)Time elapsed: 0.091 s
% 0.23/0.52 % (32634)Instructions burned: 147 (million)
% 0.23/0.54 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54 % (32697)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.23/0.55 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55 % (32704)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.23/0.55 % (32704)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.55 % (32704)Terminated due to inappropriate strategy.
% 0.23/0.55 % (32704)------------------------------
% 0.23/0.55 % (32704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.55 % (32704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.55 % (32704)Termination reason: Inappropriate
% 0.23/0.55
% 0.23/0.55 % (32704)Memory used [KB]: 908
% 0.23/0.55 % (32704)Time elapsed: 0.004 s
% 0.23/0.55 % (32704)Instructions burned: 10 (million)
% 0.23/0.55 % (32704)------------------------------
% 0.23/0.55 % (32704)------------------------------
% 0.23/0.56 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.56 % (32715)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)
% 0.23/0.57 % (32659)Instruction limit reached!
% 0.23/0.57 % (32659)------------------------------
% 0.23/0.57 % (32659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.57 % (32659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.57 % (32659)Termination reason: Time limit
% 0.23/0.57 % (32659)Termination phase: Saturation
% 0.23/0.57
% 0.23/0.57 % (32659)Memory used [KB]: 2528
% 0.23/0.57 % (32659)Time elapsed: 0.068 s
% 0.23/0.57 % (32659)Instructions burned: 175 (million)
% 0.23/0.60 % (32628)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.60 % (32724)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)
% 1.98/0.64 % (32628)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.64 % (32743)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.98/0.64 % (32743)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.98/0.64 % (32743)Terminated due to inappropriate strategy.
% 1.98/0.64 % (32743)------------------------------
% 1.98/0.64 % (32743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.64 % (32743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.64 % (32743)Termination reason: Inappropriate
% 1.98/0.64
% 1.98/0.64 % (32743)Memory used [KB]: 922
% 1.98/0.64 % (32743)Time elapsed: 0.006 s
% 1.98/0.64 % (32743)Instructions burned: 10 (million)
% 1.98/0.64 % (32743)------------------------------
% 1.98/0.64 % (32743)------------------------------
% 1.98/0.65 % (32660)Instruction limit reached!
% 1.98/0.65 % (32660)------------------------------
% 1.98/0.65 % (32660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.65 % (32660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.65 % (32660)Termination reason: Time limit
% 1.98/0.65 % (32660)Termination phase: Saturation
% 1.98/0.65
% 1.98/0.65 % (32660)Memory used [KB]: 3668
% 1.98/0.65 % (32660)Time elapsed: 0.147 s
% 1.98/0.65 % (32660)Instructions burned: 270 (million)
% 2.36/0.71 % (32628)Running in auto input_syntax mode. Trying TPTP
% 2.36/0.71 % (32744)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2997ds/2892Mi)
% 2.36/0.71 % (32628)Running in auto input_syntax mode. Trying TPTP
% 2.36/0.71 % (32745)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 2.36/0.71 % (32744)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.36/0.71 % (32744)Terminated due to inappropriate strategy.
% 2.36/0.71 % (32744)------------------------------
% 2.36/0.71 % (32744)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.36/0.71 % (32744)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.36/0.71 % (32744)Termination reason: Inappropriate
% 2.36/0.71 % (32658)Instruction limit reached!
% 2.36/0.71 % (32658)------------------------------
% 2.36/0.71 % (32658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.36/0.71 % (32658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.36/0.71 % (32658)Termination reason: Time limit
% 2.36/0.71 % (32658)Termination phase: Saturation
% 2.36/0.71
% 2.36/0.71 % (32658)Memory used [KB]: 4132
% 2.36/0.71 % (32658)Time elapsed: 0.213 s
% 2.36/0.71 % (32658)Instructions burned: 404 (million)
% 2.36/0.71
% 2.36/0.71 % (32744)Memory used [KB]: 903
% 2.36/0.71 % (32744)Time elapsed: 0.007 s
% 2.36/0.71 % (32744)Instructions burned: 10 (million)
% 2.36/0.71 % (32744)------------------------------
% 2.36/0.71 % (32744)------------------------------
% 2.70/0.77 % (32628)Running in auto input_syntax mode. Trying TPTP
% 2.70/0.77 % (32747)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)
% 2.70/0.77 % (32628)Running in auto input_syntax mode. Trying TPTP
% 2.70/0.77 % (32746)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 (2996ds/1735Mi)
% 2.70/0.78 % (32747)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.70/0.78 % (32747)Terminated due to inappropriate strategy.
% 2.70/0.78 % (32747)------------------------------
% 2.70/0.78 % (32747)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.70/0.78 % (32747)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.70/0.78 % (32747)Termination reason: Inappropriate
% 2.70/0.78
% 2.70/0.78 % (32747)Memory used [KB]: 916
% 2.70/0.78 % (32747)Time elapsed: 0.007 s
% 2.70/0.78 % (32747)Instructions burned: 10 (million)
% 2.70/0.78 % (32747)------------------------------
% 2.70/0.78 % (32747)------------------------------
% 2.70/0.84 % (32628)Running in auto input_syntax mode. Trying TPTP
% 2.70/0.84 % (32748)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2995ds/3451Mi)
% 2.70/0.85 % (32748)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.70/0.85 % (32748)Terminated due to inappropriate strategy.
% 2.70/0.85 % (32748)------------------------------
% 2.70/0.85 % (32748)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.70/0.85 % (32748)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.70/0.85 % (32748)Termination reason: Inappropriate
% 2.70/0.85
% 2.70/0.85 % (32748)Memory used [KB]: 922
% 2.70/0.85 % (32748)Time elapsed: 0.006 s
% 2.70/0.85 % (32748)Instructions burned: 10 (million)
% 2.70/0.85 % (32748)------------------------------
% 2.70/0.85 % (32748)------------------------------
% 3.36/0.91 % (32628)Running in auto input_syntax mode. Trying TPTP
% 3.36/0.91 % (32749)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2995ds/3978Mi)
% 3.79/1.03 % (32697)Instruction limit reached!
% 3.79/1.03 % (32697)------------------------------
% 3.79/1.03 % (32697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.79/1.03 % (32697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.79/1.03 % (32697)Termination reason: Time limit
% 3.79/1.03 % (32697)Termination phase: Saturation
% 3.79/1.03
% 3.79/1.03 % (32697)Memory used [KB]: 6445
% 3.79/1.03 % (32697)Time elapsed: 0.490 s
% 3.79/1.03 % (32697)Instructions burned: 900 (million)
% 4.01/1.09 % (32628)Running in auto input_syntax mode. Trying TPTP
% 4.01/1.09 % (32750)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2993ds/33091Mi)
% 5.98/1.24 % (32724)Instruction limit reached!
% 5.98/1.24 % (32724)------------------------------
% 5.98/1.24 % (32724)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.98/1.24 % (32724)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.98/1.24 % (32724)Termination reason: Time limit
% 5.98/1.24 % (32724)Termination phase: Saturation
% 5.98/1.24
% 5.98/1.24 % (32724)Memory used [KB]: 19341
% 5.98/1.24 % (32724)Time elapsed: 0.643 s
% 5.98/1.24 % (32724)Instructions burned: 1187 (million)
% 6.27/1.30 % (32628)Running in auto input_syntax mode. Trying TPTP
% 6.27/1.30 % (32751)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2991ds/9564Mi)
% 6.27/1.31 % (32745)First to succeed.
% 6.27/1.31 % (32745)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32628"
% 6.27/1.32 % (32628)Running in auto input_syntax mode. Trying TPTP
% 6.27/1.32 % (32745)Refutation found. Thanks to Tanya!
% 6.27/1.32 % SZS status Theorem for theBenchmark
% 6.27/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 6.27/1.32 % (32745)------------------------------
% 6.27/1.32 % (32745)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.27/1.32 % (32745)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.27/1.32 % (32745)Termination reason: Refutation
% 6.27/1.32
% 6.27/1.32 % (32745)Memory used [KB]: 8147
% 6.27/1.32 % (32745)Time elapsed: 0.606 s
% 6.27/1.32 % (32745)Instructions burned: 1066 (million)
% 6.27/1.32 % (32745)------------------------------
% 6.27/1.32 % (32745)------------------------------
% 6.27/1.32 % (32628)Success in time 0.936 s
%------------------------------------------------------------------------------