TSTP Solution File: DAT074_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT074_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 Apr 30 11:03:59 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 58 ( 30 unt; 12 typ; 0 def)
% Number of atoms : 112 ( 24 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 115 ( 49 ~; 42 |; 12 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 243 ( 75 atm; 29 fun; 60 num; 79 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 11 >; 14 *; 0 +; 0 <<)
% Number of predicates : 8 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 8 usr; 8 con; 0-3 aty)
% Number of variables : 86 ( 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK0: ( array * array ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * array * $int ) > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(f533,plain,
$false,
inference(evaluation,[],[f530]) ).
tff(f530,plain,
~ $less(0,$sum(7,1)),
inference(resolution,[],[f511,f379]) ).
tff(f379,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f374]) ).
tff(f374,plain,
! [X0: $int] : $less(X0,$sum($sum(6,X0),1)),
inference(resolution,[],[f353,f26]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f353,plain,
! [X0: $int] : ~ $less($sum(6,X0),X0),
inference(resolution,[],[f325,f108]) ).
tff(f108,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f23,f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f325,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f320]) ).
tff(f320,plain,
! [X0: $int] : $less(X0,$sum($sum(5,X0),1)),
inference(resolution,[],[f311,f26]) ).
tff(f311,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(resolution,[],[f287,f108]) ).
tff(f287,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f282]) ).
tff(f282,plain,
! [X0: $int] : $less(X0,$sum($sum(4,X0),1)),
inference(resolution,[],[f271,f26]) ).
tff(f271,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(resolution,[],[f226,f108]) ).
tff(f226,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f221]) ).
tff(f221,plain,
! [X0: $int] : $less(X0,$sum($sum(3,X0),1)),
inference(resolution,[],[f212,f26]) ).
tff(f212,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(resolution,[],[f159,f108]) ).
tff(f159,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f154]) ).
tff(f154,plain,
! [X0: $int] : $less(X0,$sum($sum(2,X0),1)),
inference(resolution,[],[f145,f26]) ).
tff(f145,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(resolution,[],[f127,f108]) ).
tff(f127,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f123]) ).
tff(f123,plain,
! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
inference(resolution,[],[f115,f26]) ).
tff(f115,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f108,f80]) ).
tff(f80,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f26,f22]) ).
tff(f511,plain,
! [X0: $int] :
( ~ $less(1,X0)
| ~ $less(0,X0) ),
inference(evaluation,[],[f481]) ).
tff(f481,plain,
! [X0: $int] :
( ~ $less(0,X0)
| ~ $less($sum(0,1),X0)
| ( 0 = $sum(0,1) ) ),
inference(resolution,[],[f443,f115]) ).
tff(f443,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| ~ $less(0,X1)
| ~ $less(X0,X1)
| ( 0 = X0 ) ),
inference(resolution,[],[f441,f22]) ).
tff(f441,plain,
! [X2: $int,X3: $int,X1: $int] :
( $less(X1,0)
| $less(X2,0)
| ~ $less(X1,X3)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(subsumption_resolution,[],[f440,f53]) ).
tff(f53,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int] : ( read(init(X0),X1) = X0 ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: $int,X1: $int] : ( read(init(X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f440,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( read(init(X0),X1) != X0 )
| $less(X2,0)
| $less(X1,0)
| ~ $less(X1,X3)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(forward_demodulation,[],[f439,f53]) ).
tff(f439,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( read(init(X0),X1) != read(init(X0),X2) )
| $less(X2,0)
| $less(X1,0)
| ~ $less(X1,X3)
| ~ $less(X2,X3)
| ( X1 = X2 ) ),
inference(resolution,[],[f55,f52]) ).
tff(f52,plain,
! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(flattening,[],[f29]) ).
tff(f29,plain,
~ ~ ! [X0: $int,X1: $int] : distinct(init(X0),X1),
inference(rectify,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X5: $int,X1: $int] : distinct(init(X5),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
tff(f55,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ~ distinct(X0,X1)
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1) )
| ~ distinct(X0,X1) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( read(X0,X3) != read(X0,X2) )
| $less(X2,0)
| $less(X3,0)
| ~ $less(X3,X1)
| ~ $less(X2,X1) )
| ~ distinct(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: array,X1: $int] :
( distinct(X0,X1)
=> ! [X2: $int,X3: $int] :
( ( ~ $less(X2,0)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X2,X1) )
=> ( ( read(X0,X3) = read(X0,X2) )
=> ( X2 = X3 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
tff(f34,plain,
! [X0: array,X1: $int] :
( distinct(X0,X1)
<=> ! [X2: $int,X3: $int] :
( ( ~ $less(X2,0)
& ~ $less(X3,0)
& $less(X3,X1)
& $less(X2,X1) )
=> ( ( read(X0,X3) = read(X0,X2) )
=> ( X2 = X3 ) ) ) ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
! [X0: array,X5: $int] :
( distinct(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( ~ $less(X1,0)
& ~ $less(X3,0)
& $less(X3,X5)
& $less(X1,X5) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X0: array,X5: $int] :
( distinct(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( $greatereq(X1,0)
& $greatereq(X3,0)
& $greater(X5,X3)
& $greater(X5,X1) )
=> ( ( read(X0,X3) = read(X0,X1) )
=> ( X1 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : DAT074_1 : TPTP v8.1.2. Released v6.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 22:03:17 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (22499)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (22502)WARNING: value z3 for option sas not known
% 0.15/0.33 % (22500)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (22504)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)
% 0.15/0.33 % (22505)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)
% 0.15/0.33 % (22501)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (22503)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (22506)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)
% 0.15/0.33 % (22502)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)
% 0.15/0.33 % (22500)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (22501)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (22503)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.33 % (22501)Terminated due to inappropriate strategy.
% 0.15/0.33 % (22501)------------------------------
% 0.15/0.33 % (22501)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (22503)Terminated due to inappropriate strategy.
% 0.15/0.33 % (22503)------------------------------
% 0.15/0.33 % (22503)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (22503)Termination reason: Inappropriate
% 0.15/0.33
% 0.15/0.33 % (22503)Memory used [KB]: 800
% 0.15/0.33 % (22503)Time elapsed: 0.002 s
% 0.15/0.33 % (22503)Instructions burned: 3 (million)
% 0.15/0.33 % (22500)Terminated due to inappropriate strategy.
% 0.15/0.33 % (22500)------------------------------
% 0.15/0.33 % (22500)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (22503)------------------------------
% 0.15/0.33 % (22503)------------------------------
% 0.15/0.33 % (22500)Termination reason: Inappropriate
% 0.15/0.33
% 0.15/0.33 % (22500)Memory used [KB]: 800
% 0.15/0.33 % (22500)Time elapsed: 0.002 s
% 0.15/0.33 % (22500)Instructions burned: 3 (million)
% 0.15/0.33 % (22500)------------------------------
% 0.15/0.33 % (22500)------------------------------
% 0.15/0.33 % (22501)Termination reason: Inappropriate
% 0.15/0.33
% 0.15/0.33 % (22501)Memory used [KB]: 800
% 0.15/0.33 % (22501)Time elapsed: 0.003 s
% 0.15/0.33 % (22501)Instructions burned: 3 (million)
% 0.15/0.33 % (22501)------------------------------
% 0.15/0.33 % (22501)------------------------------
% 0.15/0.34 % (22507)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.34 % (22508)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)
% 0.15/0.34 % (22509)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)
% 0.15/0.34 % (22507)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.34 % (22507)Terminated due to inappropriate strategy.
% 0.15/0.34 % (22507)------------------------------
% 0.15/0.34 % (22507)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34 % (22507)Termination reason: Inappropriate
% 0.15/0.34
% 0.15/0.34 % (22507)Memory used [KB]: 799
% 0.15/0.34 % (22507)Time elapsed: 0.003 s
% 0.15/0.34 % (22507)Instructions burned: 3 (million)
% 0.15/0.34 % (22507)------------------------------
% 0.15/0.34 % (22507)------------------------------
% 0.15/0.36 % (22509)First to succeed.
% 0.15/0.36 % (22510)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)
% 0.15/0.36 % (22509)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Theorem for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (22509)------------------------------
% 0.15/0.36 % (22509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.36 % (22509)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (22509)Memory used [KB]: 1032
% 0.15/0.36 % (22509)Time elapsed: 0.017 s
% 0.15/0.36 % (22509)Instructions burned: 29 (million)
% 0.15/0.36 % (22509)------------------------------
% 0.15/0.36 % (22509)------------------------------
% 0.15/0.36 % (22499)Success in time 0.047 s
%------------------------------------------------------------------------------