TSTP Solution File: DAT332_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT332_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 05:06:24 EDT 2024
% Result : Unsatisfiable 15.66s 2.64s
% Output : Refutation 15.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 77 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 119 ( 23 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 101 ( 44 ~; 43 |; 1 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 77 ( 31 atm; 0 fun; 12 num; 34 var)
% Number of types : 4 ( 2 usr; 1 ari)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Set': $tType ).
tff(type_def_6,type,
'Array[Int,Int]': $tType ).
tff(func_def_0,type,
sup: 'Set' > $int ).
tff(func_def_1,type,
arr: 'Array[Int,Int]' ).
tff(func_def_2,type,
s1: 'Set' ).
tff(func_def_3,type,
i1: $int ).
tff(func_def_4,type,
delete: ( 'Set' * $int ) > 'Set' ).
tff(func_def_5,type,
'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]': ( 'Array[Int,Int]' * $int * $int ) > 'Array[Int,Int]' ).
tff(func_def_6,type,
'const:(Int)>Array[Int,Int]': $int > 'Array[Int,Int]' ).
tff(func_def_7,type,
g: $int > $int ).
tff(func_def_8,type,
s0: 'Set' ).
tff(func_def_9,type,
'select:(Array[Int,Int]*Int)>Int': ( 'Array[Int,Int]' * $int ) > $int ).
tff(func_def_10,type,
insert: ( 'Set' * $int ) > 'Set' ).
tff(func_def_15,type,
sK0: ( 'Array[Int,Int]' * 'Array[Int,Int]' ) > $int ).
tff(pred_def_1,type,
member: ( $int * 'Set' ) > $o ).
tff(f36799,plain,
$false,
inference(avatar_sat_refutation,[],[f36197,f36367,f36795,f36798]) ).
tff(f36798,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f36797]) ).
tff(f36797,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f36796,f56]) ).
tff(f56,plain,
! [X0: $int] : $less(0,g(X0)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int] : $less(0,g(X0)),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X3: $int] : $less(0,g(X3)),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X3: $int] : $greater(g(X3),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10) ).
tff(f36796,plain,
( ~ $less(0,g(i1))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f36793,f25]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f36793,plain,
( $less(sup(s0),sup(s0))
| ~ $less(0,g(i1))
| ~ spl1_1 ),
inference(superposition,[],[f58,f36579]) ).
tff(f36579,plain,
( ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) )
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f5122,f36372]) ).
tff(f36372,plain,
( ~ member(sup(s0),s1)
| ~ spl1_1 ),
inference(resolution,[],[f36370,f63]) ).
tff(f63,plain,
! [X0: 'Set',X1: $int] :
( ~ $less(sup(X0),X1)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: 'Set',X1: $int] :
( ~ $less(sup(X0),X1)
| ~ member(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: 'Set',X1: $int] :
( member(X1,X0)
=> ~ $less(sup(X0),X1) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X1: 'Set',X0: $int] :
( member(X0,X1)
=> ~ $less(sup(X1),X0) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,axiom,
! [X1: 'Set',X0: $int] :
( member(X0,X1)
=> $lesseq(X0,sup(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f36370,plain,
( $less(sup(s1),sup(s0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f36369,f54]) ).
tff(f54,plain,
sup(s0) != sup(s1),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
sup(s0) != sup(s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f36369,plain,
( ( sup(s0) = sup(s1) )
| $less(sup(s1),sup(s0))
| ~ spl1_1 ),
inference(resolution,[],[f36192,f228]) ).
tff(f228,plain,
! [X0: $int,X1: 'Set'] :
( ~ member(X0,X1)
| ( sup(X1) = X0 )
| $less(X0,sup(X1)) ),
inference(resolution,[],[f27,f63]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f36192,plain,
( member(sup(s1),s0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f36190]) ).
tff(f36190,plain,
( spl1_1
<=> member(sup(s1),s0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f5122,plain,
( member(sup(s0),s1)
| ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) ) ),
inference(resolution,[],[f830,f57]) ).
tff(f57,plain,
! [X0: 'Set'] : member(sup(X0),X0),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0: 'Set'] : member(sup(X0),X0),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: 'Set'] : member(sup(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f830,plain,
! [X0: $int] :
( ~ member(X0,s0)
| member(X0,s1)
| ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = X0 ) ),
inference(superposition,[],[f69,f55]) ).
tff(f55,plain,
s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,g(i1))),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,g(i1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11) ).
tff(f69,plain,
! [X2: 'Set',X0: $int,X1: $int] :
( member(X0,insert(X2,X1))
| ~ member(X0,X2)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: $int,X1: $int,X2: 'Set'] :
( ( ( member(X0,insert(X2,X1))
| ~ member(X0,X2) )
& ( member(X0,X2)
| ~ member(X0,insert(X2,X1)) ) )
| ( X0 = X1 ) ),
inference(nnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $int,X1: $int,X2: 'Set'] :
( ( member(X0,insert(X2,X1))
<=> member(X0,X2) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $int,X1: $int,X2: 'Set'] :
( ( X0 != X1 )
=> ( member(X0,insert(X2,X1))
<=> member(X0,X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X2: $int,X1: 'Set'] :
( ( X0 != X2 )
=> ( member(X0,insert(X1,X2))
<=> member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f58,plain,
! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0))
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0))
| ~ $less(0,X0) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int] :
( $less(0,X0)
=> $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X3: $int] :
( $less(0,X3)
=> $less('select:(Array[Int,Int]*Int)>Int'(arr,X3),sup(s0)) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,axiom,
! [X3: $int] :
( $greater(X3,0)
=> $less('select:(Array[Int,Int]*Int)>Int'(arr,X3),sup(s0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9) ).
tff(f36795,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f36794]) ).
tff(f36794,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f36790,f36372]) ).
tff(f36790,plain,
( member(sup(s0),s1)
| ~ spl1_1 ),
inference(superposition,[],[f118,f36579]) ).
tff(f118,plain,
member('select:(Array[Int,Int]*Int)>Int'(arr,g(i1)),s1),
inference(superposition,[],[f59,f55]) ).
tff(f59,plain,
! [X0: $int,X1: 'Set'] : member(X0,insert(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: 'Set'] : member(X0,insert(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f36367,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f36366]) ).
tff(f36366,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f36365,f54]) ).
tff(f36365,plain,
( ( sup(s0) = sup(s1) )
| ~ spl1_2 ),
inference(forward_demodulation,[],[f36364,f36196]) ).
tff(f36196,plain,
( ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f36194]) ).
tff(f36194,plain,
( spl1_2
<=> ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f36364,plain,
( ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) )
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f5122,f36245]) ).
tff(f36245,plain,
( ~ member(sup(s0),s1)
| ~ spl1_2 ),
inference(resolution,[],[f36243,f63]) ).
tff(f36243,plain,
( $less(sup(s1),sup(s0))
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f36241,f56]) ).
tff(f36241,plain,
( $less(sup(s1),sup(s0))
| ~ $less(0,g(i1))
| ~ spl1_2 ),
inference(superposition,[],[f58,f36196]) ).
tff(f36197,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f4932,f36194,f36190]) ).
tff(f4932,plain,
( ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) )
| member(sup(s1),s0) ),
inference(forward_demodulation,[],[f4930,f55]) ).
tff(f4930,plain,
( member(sup(s1),s0)
| ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)))) ) ),
inference(superposition,[],[f765,f55]) ).
tff(f765,plain,
! [X0: 'Set',X1: $int] :
( member(sup(insert(X0,X1)),X0)
| ( sup(insert(X0,X1)) = X1 ) ),
inference(resolution,[],[f68,f57]) ).
tff(f68,plain,
! [X2: 'Set',X0: $int,X1: $int] :
( ~ member(X0,insert(X2,X1))
| member(X0,X2)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT332_1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:56:46 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (16559)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (16562)WARNING: value z3 for option sas not known
% 0.15/0.38 % (16561)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (16560)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (16563)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (16562)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (16564)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_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (16565)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (16566)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (16561)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (16560)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (16563)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (16560)Terminated due to inappropriate strategy.
% 0.15/0.38 % (16560)------------------------------
% 0.15/0.38 % (16560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (16560)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (16560)Memory used [KB]: 734
% 0.15/0.38 % (16560)Time elapsed: 0.003 s
% 0.15/0.38 % (16561)Terminated due to inappropriate strategy.
% 0.15/0.38 % (16561)------------------------------
% 0.15/0.38 % (16561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (16560)Instructions burned: 3 (million)
% 0.15/0.38 % (16563)Terminated due to inappropriate strategy.
% 0.15/0.38 % (16563)------------------------------
% 0.15/0.38 % (16563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (16561)Termination reason: Inappropriate
% 0.15/0.38 % (16563)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (16563)Memory used [KB]: 734
% 0.15/0.38 % (16561)Memory used [KB]: 734
% 0.15/0.38 % (16563)Time elapsed: 0.003 s
% 0.15/0.38 % (16561)Time elapsed: 0.003 s
% 0.15/0.38 % (16563)Instructions burned: 3 (million)
% 0.15/0.38 % (16561)Instructions burned: 3 (million)
% 0.15/0.38 % (16560)------------------------------
% 0.15/0.38 % (16560)------------------------------
% 0.15/0.38 % (16563)------------------------------
% 0.15/0.38 % (16563)------------------------------
% 0.15/0.38 % (16561)------------------------------
% 0.15/0.38 % (16561)------------------------------
% 0.15/0.40 % (16567)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.40 % (16568)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.15/0.40 % (16569)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.15/0.40 % (16567)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (16567)Terminated due to inappropriate strategy.
% 0.15/0.40 % (16567)------------------------------
% 0.15/0.40 % (16567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (16567)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (16567)Memory used [KB]: 733
% 0.15/0.40 % (16567)Time elapsed: 0.002 s
% 0.15/0.40 % (16567)Instructions burned: 3 (million)
% 0.15/0.40 % (16567)------------------------------
% 0.15/0.40 % (16567)------------------------------
% 0.21/0.42 % (16570)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 15.66/2.62 % (16562)First to succeed.
% 15.66/2.62 % (16562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16559"
% 15.66/2.64 % (16562)Refutation found. Thanks to Tanya!
% 15.66/2.64 % SZS status Unsatisfiable for theBenchmark
% 15.66/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 15.66/2.64 % (16562)------------------------------
% 15.66/2.64 % (16562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.66/2.64 % (16562)Termination reason: Refutation
% 15.66/2.64
% 15.66/2.64 % (16562)Memory used [KB]: 82725
% 15.66/2.64 % (16562)Time elapsed: 2.244 s
% 15.66/2.64 % (16562)Instructions burned: 4039 (million)
% 15.66/2.64 % (16559)Success in time 2.258 s
%------------------------------------------------------------------------------