TSTP Solution File: DAT017_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT017_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 11:03:28 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 84 ( 59 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 68 ( 28 ~; 23 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 117 ( 6 atm; 19 fun; 45 num; 47 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 7 con; 0-3 aty)
% Number of variables : 62 ( 45 !; 17 ?; 62 :)
% 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_6,type,
sK0: array ).
tff(func_def_7,type,
sK1: array ).
tff(func_def_8,type,
sK2: $int ).
tff(func_def_9,type,
sK3: $int ).
tff(func_def_10,type,
sK4: $int ).
tff(f301,plain,
$false,
inference(avatar_sat_refutation,[],[f267,f277,f300]) ).
tff(f300,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f299]) ).
tff(f299,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f298,f63]) ).
tff(f63,plain,
0 = read(sK0,sK2),
inference(superposition,[],[f25,f28]) ).
tff(f28,plain,
sK0 = write(write(write(sK1,sK3,0),sK4,$sum(1,read(sK0,sK4))),sK2,0),
inference(forward_demodulation,[],[f27,f24]) ).
tff(f24,plain,
! [X5: $int] : ( read(sK0,X5) = read(sK1,X5) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ! [X5: $int] : ( read(sK0,X5) = read(sK1,X5) )
& ( sK0 = write(write(write(sK1,sK3,0),sK4,$sum(read(sK1,sK4),1)),sK2,0) )
& ( read(sK1,sK2) != read(sK1,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f19,f20]) ).
tff(f20,plain,
( ? [X0: array,X1: array,X2: $int,X3: $int,X4: $int] :
( ! [X5: $int] : ( read(X0,X5) = read(X1,X5) )
& ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 )
& ( read(X1,X2) != read(X1,X3) ) )
=> ( ! [X5: $int] : ( read(sK0,X5) = read(sK1,X5) )
& ( sK0 = write(write(write(sK1,sK3,0),sK4,$sum(read(sK1,sK4),1)),sK2,0) )
& ( read(sK1,sK2) != read(sK1,sK3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f19,plain,
? [X0: array,X1: array,X2: $int,X3: $int,X4: $int] :
( ! [X5: $int] : ( read(X0,X5) = read(X1,X5) )
& ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 )
& ( read(X1,X2) != read(X1,X3) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
? [X0: array,X1: array,X2: $int,X3: $int,X4: $int] :
( ! [X5: $int] : ( read(X0,X5) = read(X1,X5) )
& ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 )
& ( read(X1,X2) != read(X1,X3) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int,X3: $int,X4: $int] :
( ( ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 )
& ( read(X1,X2) != read(X1,X3) ) )
=> ? [X5: $int] : ( read(X0,X5) != read(X1,X5) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int,X3: $int,X4: $int] :
( ( ( write(write(write(X1,X3,0),X4,$sum(read(X1,X4),1)),X2,0) = X0 )
& ( read(X1,X2) != read(X1,X3) ) )
=> ? [X5: $int] : ( read(X0,X5) != read(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f27,plain,
sK0 = write(write(write(sK1,sK3,0),sK4,$sum(1,read(sK1,sK4))),sK2,0),
inference(forward_demodulation,[],[f23,f5]) ).
tff(f5,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f23,plain,
sK0 = write(write(write(sK1,sK3,0),sK4,$sum(read(sK1,sK4),1)),sK2,0),
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f298,plain,
( ( 0 != read(sK0,sK2) )
| ~ spl5_1 ),
inference(backward_demodulation,[],[f64,f294]) ).
tff(f294,plain,
( ( sK2 = sK3 )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f290,f64]) ).
tff(f290,plain,
( ( 0 = read(sK0,sK3) )
| ( sK2 = sK3 )
| ~ spl5_1 ),
inference(superposition,[],[f282,f25]) ).
tff(f282,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,sK3,0),X0) )
| ( sK2 = X0 ) )
| ~ spl5_1 ),
inference(duplicate_literal_removal,[],[f280]) ).
tff(f280,plain,
( ! [X0: $int] :
( ( sK2 = X0 )
| ( read(sK0,X0) = read(write(sK1,sK3,0),X0) )
| ( sK2 = X0 ) )
| ~ spl5_1 ),
inference(backward_demodulation,[],[f255,f261]) ).
tff(f261,plain,
( ( sK2 = sK4 )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f259,plain,
( spl5_1
<=> ( sK2 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f255,plain,
! [X0: $int] :
( ( read(sK0,X0) = read(write(sK1,sK3,0),X0) )
| ( sK2 = X0 )
| ( sK4 = X0 ) ),
inference(superposition,[],[f251,f26]) ).
tff(f26,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f251,plain,
! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK1,sK3,0),sK4,$sum(1,read(sK0,sK4))),X0) )
| ( sK2 = X0 ) ),
inference(superposition,[],[f26,f28]) ).
tff(f64,plain,
0 != read(sK0,sK3),
inference(backward_demodulation,[],[f30,f63]) ).
tff(f30,plain,
read(sK0,sK3) != read(sK0,sK2),
inference(forward_demodulation,[],[f29,f24]) ).
tff(f29,plain,
read(sK1,sK2) != read(sK0,sK3),
inference(forward_demodulation,[],[f22,f24]) ).
tff(f22,plain,
read(sK1,sK2) != read(sK1,sK3),
inference(cnf_transformation,[],[f21]) ).
tff(f277,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f276]) ).
tff(f276,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f272,f10]) ).
tff(f10,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f272,plain,
( $less(read(sK0,sK4),read(sK0,sK4))
| ~ spl5_2 ),
inference(superposition,[],[f44,f265]) ).
tff(f265,plain,
( ( read(sK0,sK4) = $sum(1,read(sK0,sK4)) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f263,plain,
( spl5_2
<=> ( read(sK0,sK4) = $sum(1,read(sK0,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f44,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f43,f5]) ).
tff(f43,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f14,f10]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f267,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f256,f263,f259]) ).
tff(f256,plain,
( ( read(sK0,sK4) = $sum(1,read(sK0,sK4)) )
| ( sK2 = sK4 ) ),
inference(superposition,[],[f25,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT017_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 22:30:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3393)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (3396)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3394)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3397)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3399)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 % (3395)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 % (3400)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 % (3396)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 % (3398)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 % (3397)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (3395)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (3394)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (3397)Terminated due to inappropriate strategy.
% 0.15/0.38 % (3397)------------------------------
% 0.15/0.38 % (3397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (3395)Terminated due to inappropriate strategy.
% 0.15/0.38 % (3395)------------------------------
% 0.15/0.38 % (3395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (3395)Termination reason: Inappropriate
% 0.15/0.38 % (3394)Terminated due to inappropriate strategy.
% 0.15/0.38 % (3394)------------------------------
% 0.15/0.38 % (3394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (3397)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (3394)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (3397)Memory used [KB]: 741
% 0.15/0.38 % (3395)Memory used [KB]: 741
% 0.15/0.38 % (3394)Memory used [KB]: 741
% 0.15/0.38 % (3397)Time elapsed: 0.002 s
% 0.15/0.38 % (3395)Time elapsed: 0.003 s
% 0.15/0.38 % (3394)Time elapsed: 0.003 s
% 0.15/0.38 % (3397)Instructions burned: 2 (million)
% 0.15/0.38 % (3394)Instructions burned: 2 (million)
% 0.15/0.38 % (3395)Instructions burned: 2 (million)
% 0.15/0.38 % (3397)------------------------------
% 0.15/0.38 % (3397)------------------------------
% 0.15/0.38 % (3394)------------------------------
% 0.15/0.38 % (3394)------------------------------
% 0.15/0.38 % (3395)------------------------------
% 0.15/0.38 % (3395)------------------------------
% 0.15/0.39 % (3401)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.15/0.39 % (3402)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)
% 0.15/0.39 % (3403)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)
% 0.15/0.39 % (3401)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (3401)Terminated due to inappropriate strategy.
% 0.15/0.39 % (3401)------------------------------
% 0.15/0.39 % (3401)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (3401)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (3401)Memory used [KB]: 741
% 0.15/0.39 % (3401)Time elapsed: 0.002 s
% 0.15/0.39 % (3401)Instructions burned: 2 (million)
% 0.15/0.39 % (3401)------------------------------
% 0.15/0.39 % (3401)------------------------------
% 0.15/0.40 % (3403)First to succeed.
% 0.15/0.41 % (3403)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (3403)------------------------------
% 0.15/0.41 % (3403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41 % (3403)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (3403)Memory used [KB]: 884
% 0.15/0.41 % (3403)Time elapsed: 0.013 s
% 0.15/0.41 % (3403)Instructions burned: 17 (million)
% 0.15/0.41 % (3403)------------------------------
% 0.15/0.41 % (3403)------------------------------
% 0.15/0.41 % (3393)Success in time 0.046 s
%------------------------------------------------------------------------------