TSTP Solution File: ARI620_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI620_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 10:35:43 EDT 2024
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 108 ( 30 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 116 ( 37 ~; 37 |; 32 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 149 ( 18 atm; 24 fun; 77 num; 30 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 21 !; 9 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK1: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(pred_def_4,type,
sP0: $int > $o ).
tff(f10407,plain,
$false,
inference(subsumption_resolution,[],[f10406,f42]) ).
tff(f42,plain,
~ sP0(8),
inference(unit_resulting_resolution,[],[f38,f37]) ).
tff(f37,plain,
! [X0: $int] :
( ~ sP0(X0)
| pow2(X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ~ pow2(8)
& ! [X0: $int] :
( ( pow2(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ pow2(X0) ) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ pow2(8)
& ! [X0: $int] :
( pow2(X0)
<=> sP0(X0) ) ),
inference(definition_folding,[],[f22,f23]) ).
tff(f23,plain,
! [X0: $int] :
( sP0(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f22,plain,
( ~ pow2(8)
& ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 ) ) )
=> pow2(8) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( 1 = X0 ) ) )
=> pow2(8) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( 1 = X0 ) ) )
=> pow2(8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pow_of_2_8) ).
tff(f38,plain,
~ pow2(8),
inference(cnf_transformation,[],[f30]) ).
tff(f10406,plain,
sP0(8),
inference(evaluation,[],[f10404]) ).
tff(f10404,plain,
( sP0($product(2,4))
| $less($product(2,4),2) ),
inference(resolution,[],[f10396,f40]) ).
tff(f40,plain,
! [X1: $int] :
( ~ pow2(X1)
| sP0($product(2,X1))
| $less($product(2,X1),2) ),
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: $int] :
( sP0(X0)
| ~ pow2(X1)
| ( $product(2,X1) != X0 )
| $less(X0,2) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( pow2(sK1(X0))
& ( $product(2,sK1(X0)) = X0 )
& ~ $less(X0,2) )
| ( 1 = X0 )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
tff(f28,plain,
! [X0: $int] :
( ? [X2: $int] :
( pow2(X2)
& ( $product(2,X2) = X0 ) )
=> ( pow2(sK1(X0))
& ( $product(2,sK1(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X2: $int] :
( pow2(X2)
& ( $product(2,X2) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 )
| ~ sP0(X0) ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 )
| ~ sP0(X0) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( 1 = X0 )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f10396,plain,
pow2(4),
inference(unit_resulting_resolution,[],[f10395,f37]) ).
tff(f10395,plain,
sP0(4),
inference(evaluation,[],[f10393]) ).
tff(f10393,plain,
( sP0($product(2,2))
| $less($product(2,2),2) ),
inference(resolution,[],[f10385,f40]) ).
tff(f10385,plain,
pow2(2),
inference(unit_resulting_resolution,[],[f10384,f37]) ).
tff(f10384,plain,
sP0(2),
inference(evaluation,[],[f10383]) ).
tff(f10383,plain,
( sP0($product(2,1))
| $less($product(2,1),2) ),
inference(resolution,[],[f40,f43]) ).
tff(f43,plain,
pow2(1),
inference(unit_resulting_resolution,[],[f41,f37]) ).
tff(f41,plain,
sP0(1),
inference(equality_resolution,[],[f34]) ).
tff(f34,plain,
! [X0: $int] :
( sP0(X0)
| ( 1 != X0 ) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ARI620_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 05:33:06 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (14502)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (14505)WARNING: value z3 for option sas not known
% 0.13/0.36 % (14504)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (14506)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (14504)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (14504)Terminated due to inappropriate strategy.
% 0.13/0.36 % (14504)------------------------------
% 0.13/0.36 % (14504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (14504)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (14504)Memory used [KB]: 728
% 0.13/0.36 % (14504)Time elapsed: 0.002 s
% 0.13/0.36 % (14504)Instructions burned: 2 (million)
% 0.13/0.36 % (14504)------------------------------
% 0.13/0.36 % (14504)------------------------------
% 0.13/0.36 % (14509)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)
% 0.13/0.36 % (14507)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)
% 0.13/0.36 % (14505)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)
% 0.13/0.36 % (14506)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (14506)Terminated due to inappropriate strategy.
% 0.13/0.36 % (14506)------------------------------
% 0.13/0.36 % (14506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (14506)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (14506)Memory used [KB]: 728
% 0.13/0.36 % (14506)Time elapsed: 0.002 s
% 0.13/0.36 % (14506)Instructions burned: 2 (million)
% 0.13/0.36 % (14506)------------------------------
% 0.13/0.36 % (14506)------------------------------
% 0.13/0.36 % (14508)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)
% 0.13/0.36 % (14503)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (14503)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (14503)Terminated due to inappropriate strategy.
% 0.13/0.37 % (14503)------------------------------
% 0.13/0.37 % (14503)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (14503)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (14503)Memory used [KB]: 728
% 0.13/0.37 % (14503)Time elapsed: 0.003 s
% 0.13/0.37 % (14503)Instructions burned: 2 (million)
% 0.13/0.37 % (14503)------------------------------
% 0.13/0.37 % (14503)------------------------------
% 0.13/0.38 % (14510)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.38 % (14511)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)
% 0.13/0.38 % (14510)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (14510)Terminated due to inappropriate strategy.
% 0.13/0.38 % (14510)------------------------------
% 0.13/0.38 % (14510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (14510)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (14510)Memory used [KB]: 727
% 0.13/0.38 % (14510)Time elapsed: 0.002 s
% 0.13/0.38 % (14510)Instructions burned: 2 (million)
% 0.13/0.38 % (14510)------------------------------
% 0.13/0.38 % (14510)------------------------------
% 0.13/0.38 % (14512)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)
% 0.13/0.39 % (14513)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)
% 0.18/0.52 % (14511)First to succeed.
% 0.18/0.52 % (14511)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (14511)------------------------------
% 0.18/0.52 % (14511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.52 % (14511)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (14511)Memory used [KB]: 1751
% 0.18/0.52 % (14511)Time elapsed: 0.141 s
% 0.18/0.52 % (14511)Instructions burned: 324 (million)
% 0.18/0.52 % (14511)------------------------------
% 0.18/0.52 % (14511)------------------------------
% 0.18/0.52 % (14502)Success in time 0.168 s
%------------------------------------------------------------------------------