TSTP Solution File: DAT011_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT011_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 : n014.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 11:03:27 EDT 2024
% Result : Theorem 2.47s 0.71s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 54 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 138 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 144 ( 52 ~; 42 |; 37 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 258 ( 84 atm; 41 fun; 77 num; 56 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 7 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 53 !; 22 ?; 75 :)
% 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_7,type,
sK0: array ).
tff(func_def_8,type,
sK1: array ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(func_def_11,type,
sK4: $int ).
tff(f7593,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f254,f7592]) ).
tff(f7592,plain,
( spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f7591]) ).
tff(f7591,plain,
( $false
| spl5_5
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f7590,f120]) ).
tff(f120,plain,
( ( sK4 != $sum(1,sK3) )
| spl5_5 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f119,plain,
( spl5_5
<=> ( sK4 = $sum(1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f7590,plain,
( ( sK4 = $sum(1,sK3) )
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f7589,f27]) ).
tff(f27,plain,
~ $less(sK4,sK2),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ $less(0,read(sK0,sK4))
& ~ $less($sum(sK3,1),sK4)
& ~ $less(sK4,sK2)
& ( sK0 = write(sK1,$sum(sK3,1),3) )
& ! [X5: $int] :
( $less(0,read(sK1,X5))
| $less(sK3,X5)
| $less(X5,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f21,f23,f22]) ).
tff(f22,plain,
( ? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less($sum(X3,1),X4)
& ~ $less(X4,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X5: $int] :
( $less(0,read(X1,X5))
| $less(X3,X5)
| $less(X5,X2) ) )
=> ( ? [X4: $int] :
( ~ $less(0,read(sK0,X4))
& ~ $less($sum(sK3,1),X4)
& ~ $less(X4,sK2) )
& ( sK0 = write(sK1,$sum(sK3,1),3) )
& ! [X5: $int] :
( $less(0,read(sK1,X5))
| $less(sK3,X5)
| $less(X5,sK2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
( ? [X4: $int] :
( ~ $less(0,read(sK0,X4))
& ~ $less($sum(sK3,1),X4)
& ~ $less(X4,sK2) )
=> ( ~ $less(0,read(sK0,sK4))
& ~ $less($sum(sK3,1),sK4)
& ~ $less(sK4,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less($sum(X3,1),X4)
& ~ $less(X4,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X5: $int] :
( $less(0,read(X1,X5))
| $less(X3,X5)
| $less(X5,X2) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X0,X5))
& ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( $less(0,read(X1,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array,X1: array,X2: $int,X3: $int] :
( ? [X5: $int] :
( ~ $less(0,read(X0,X5))
& ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
& ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( $less(0,read(X1,X4))
| $less(X3,X4)
| $less(X4,X2) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( ~ $less(X3,X4)
& ~ $less(X4,X2) )
=> $less(0,read(X1,X4)) ) )
=> ! [X5: $int] :
( ( ~ $less($sum(X3,1),X5)
& ~ $less(X5,X2) )
=> $less(0,read(X0,X5)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X1,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,$sum(X3,1))
& $lesseq(X2,X5) )
=> $greater(read(X0,X5),0) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int,X3: $int] :
( ( ( write(X1,$sum(X3,1),3) = X0 )
& ! [X4: $int] :
( ( $lesseq(X4,X3)
& $lesseq(X2,X4) )
=> $greater(read(X1,X4),0) ) )
=> ! [X5: $int] :
( ( $lesseq(X5,$sum(X3,1))
& $lesseq(X2,X5) )
=> $greater(read(X0,X5),0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f7589,plain,
( $less(sK4,sK2)
| ( sK4 = $sum(1,sK3) )
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f7586,f582]) ).
tff(f582,plain,
( ~ $less(sK3,sK4)
| ~ spl5_6 ),
inference(resolution,[],[f63,f125]) ).
tff(f125,plain,
( $less(sK4,$sum(1,sK3))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f123,plain,
( spl5_6
<=> $less(sK4,$sum(1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f63,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f17,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f7586,plain,
( $less(sK3,sK4)
| $less(sK4,sK2)
| ( sK4 = $sum(1,sK3) ) ),
inference(resolution,[],[f29,f513]) ).
tff(f513,plain,
! [X0: $int] :
( $less(0,read(sK0,X0))
| $less(sK3,X0)
| $less(X0,sK2)
| ( $sum(1,sK3) = X0 ) ),
inference(superposition,[],[f25,f395]) ).
tff(f395,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(sK0,X0) )
| ( $sum(1,sK3) = X0 ) ),
inference(superposition,[],[f31,f33]) ).
tff(f33,plain,
sK0 = write(sK1,$sum(1,sK3),3),
inference(forward_demodulation,[],[f26,f6]) ).
tff(f26,plain,
sK0 = write(sK1,$sum(sK3,1),3),
inference(cnf_transformation,[],[f24]) ).
tff(f31,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,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/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f25,plain,
! [X5: $int] :
( $less(0,read(sK1,X5))
| $less(sK3,X5)
| $less(X5,sK2) ),
inference(cnf_transformation,[],[f24]) ).
tff(f29,plain,
~ $less(0,read(sK0,sK4)),
inference(cnf_transformation,[],[f24]) ).
tff(f254,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f253]) ).
tff(f253,plain,
( $false
| ~ spl5_5 ),
inference(evaluation,[],[f252]) ).
tff(f252,plain,
( ~ $less(0,3)
| ~ spl5_5 ),
inference(forward_demodulation,[],[f29,f251]) ).
tff(f251,plain,
( ( 3 = read(sK0,sK4) )
| ~ spl5_5 ),
inference(backward_demodulation,[],[f72,f121]) ).
tff(f121,plain,
( ( sK4 = $sum(1,sK3) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f72,plain,
3 = read(sK0,$sum(1,sK3)),
inference(superposition,[],[f30,f33]) ).
tff(f30,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/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f126,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f103,f123,f119]) ).
tff(f103,plain,
( $less(sK4,$sum(1,sK3))
| ( sK4 = $sum(1,sK3) ) ),
inference(resolution,[],[f13,f32]) ).
tff(f32,plain,
~ $less($sum(1,sK3),sK4),
inference(forward_demodulation,[],[f28,f6]) ).
tff(f28,plain,
~ $less($sum(sK3,1),sK4),
inference(cnf_transformation,[],[f24]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : DAT011_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.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 : Mon Apr 29 22:05:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (20985)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (20992)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)
% 0.15/0.39 % (20990)WARNING: value z3 for option sas not known
% 0.15/0.39 % (20994)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)
% 0.15/0.39 % (20988)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (20988)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (20989)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (20991)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (20988)Terminated due to inappropriate strategy.
% 0.15/0.39 % (20988)------------------------------
% 0.15/0.39 % (20988)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (20988)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (20988)Memory used [KB]: 744
% 0.15/0.39 % (20988)Time elapsed: 0.004 s
% 0.15/0.39 % (20988)Instructions burned: 2 (million)
% 0.15/0.39 % (20988)------------------------------
% 0.15/0.39 % (20988)------------------------------
% 0.15/0.39 % (20993)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)
% 0.15/0.39 % (20990)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)
% 0.15/0.39 % (20989)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (20989)Terminated due to inappropriate strategy.
% 0.15/0.39 % (20989)------------------------------
% 0.15/0.39 % (20989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (20989)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (20989)Memory used [KB]: 744
% 0.15/0.39 % (20989)Time elapsed: 0.004 s
% 0.15/0.39 % (20991)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.39 % (20989)Instructions burned: 2 (million)
% 0.15/0.39 % (20991)Terminated due to inappropriate strategy.
% 0.15/0.39 % (20991)------------------------------
% 0.15/0.39 % (20991)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (20991)Termination reason: Inappropriate
% 0.15/0.39
% 0.15/0.39 % (20991)Memory used [KB]: 744
% 0.15/0.39 % (20991)Time elapsed: 0.003 s
% 0.15/0.39 % (20991)Instructions burned: 2 (million)
% 0.15/0.39 % (20991)------------------------------
% 0.15/0.39 % (20991)------------------------------
% 0.15/0.39 % (20989)------------------------------
% 0.15/0.39 % (20989)------------------------------
% 0.15/0.42 % (20997)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)
% 0.22/0.42 % (20998)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)
% 0.22/0.43 % (20996)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.43 % (20996)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (20996)Terminated due to inappropriate strategy.
% 0.22/0.43 % (20996)------------------------------
% 0.22/0.43 % (20996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (20996)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (20996)Memory used [KB]: 744
% 0.22/0.43 % (20996)Time elapsed: 0.004 s
% 0.22/0.43 % (20996)Instructions burned: 2 (million)
% 0.22/0.43 % (20996)------------------------------
% 0.22/0.43 % (20996)------------------------------
% 0.22/0.46 % (20999)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)
% 2.47/0.71 % (20998)First to succeed.
% 2.47/0.71 % (20998)Refutation found. Thanks to Tanya!
% 2.47/0.71 % SZS status Theorem for theBenchmark
% 2.47/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.71 % (20998)------------------------------
% 2.47/0.71 % (20998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.47/0.71 % (20998)Termination reason: Refutation
% 2.47/0.71
% 2.47/0.71 % (20998)Memory used [KB]: 2462
% 2.47/0.71 % (20998)Time elapsed: 0.292 s
% 2.47/0.71 % (20998)Instructions burned: 673 (million)
% 2.47/0.71 % (20998)------------------------------
% 2.47/0.71 % (20998)------------------------------
% 2.47/0.71 % (20985)Success in time 0.343 s
%------------------------------------------------------------------------------