TSTP Solution File: NUM920_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM920_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 May 21 02:14:18 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 1 typ; 0 def)
% Number of atoms : 43 ( 5 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 32 ( 12 ~; 9 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 128 ( 37 atm; 33 fun; 25 num; 33 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 28 !; 5 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f1697,plain,
$false,
inference(resolution,[],[f1681,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f1681,plain,
$less(sK0,sK0),
inference(resolution,[],[f234,f233]) ).
tff(f233,plain,
! [X0: $int] : $less($sum(-1,X0),X0),
inference(evaluation,[],[f231]) ).
tff(f231,plain,
! [X0: $int] : $less($sum($uminus(1),X0),X0),
inference(superposition,[],[f42,f151]) ).
tff(f151,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f129]) ).
tff(f129,plain,
! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f42,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f37,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f37,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f234,plain,
! [X0: $int] :
( ~ $less($sum(-1,X0),sK0)
| $less(X0,sK0) ),
inference(evaluation,[],[f230]) ).
tff(f230,plain,
! [X0: $int] :
( $less(X0,sK0)
| ~ $less($sum($uminus(1),X0),sK0) ),
inference(superposition,[],[f32,f151]) ).
tff(f32,plain,
! [X0: $int] :
( $less($sum(1,X0),sK0)
| ~ $less(X0,sK0) ),
inference(superposition,[],[f20,f3]) ).
tff(f20,plain,
! [X1: $int] :
( $less($sum(X1,1),sK0)
| ~ $less(X1,sK0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X1: $int] :
( $less($sum(X1,1),sK0)
| ~ $less(X1,sK0) )
& $less(0,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( $less($sum(X1,1),X0)
| ~ $less(X1,X0) )
& $less(0,X0) )
=> ( ! [X1: $int] :
( $less($sum(X1,1),sK0)
| ~ $less(X1,sK0) )
& $less(0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less($sum(X1,1),X0)
| ~ $less(X1,X0) )
& $less(0,X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
~ ~ ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
~ ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM920_1 : TPTP v8.2.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 05:44:37 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (18980)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (18986)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (18984)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (18985)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (18987)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (18984)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.35 % (18984)Terminated due to inappropriate strategy.
% 0.12/0.35 % (18984)------------------------------
% 0.12/0.35 % (18984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (18987)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.35 % (18987)Terminated due to inappropriate strategy.
% 0.12/0.35 % (18987)------------------------------
% 0.12/0.35 % (18987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (18987)Termination reason: Inappropriate
% 0.12/0.35
% 0.12/0.35 % (18987)Memory used [KB]: 718
% 0.12/0.35 % (18987)Time elapsed: 0.002 s
% 0.12/0.35 % (18987)Instructions burned: 2 (million)
% 0.12/0.35 % (18984)Termination reason: Inappropriate
% 0.12/0.35
% 0.12/0.35 % (18984)Memory used [KB]: 718
% 0.12/0.35 % (18984)Time elapsed: 0.002 s
% 0.12/0.35 % (18984)Instructions burned: 2 (million)
% 0.12/0.35 % (18987)------------------------------
% 0.12/0.35 % (18987)------------------------------
% 0.12/0.35 % (18984)------------------------------
% 0.12/0.35 % (18984)------------------------------
% 0.12/0.36 % (18982)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (18982)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (18982)Terminated due to inappropriate strategy.
% 0.12/0.36 % (18982)------------------------------
% 0.12/0.36 % (18982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (18982)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (18982)Memory used [KB]: 718
% 0.12/0.36 % (18982)Time elapsed: 0.002 s
% 0.12/0.36 % (18982)Instructions burned: 2 (million)
% 0.12/0.36 % (18982)------------------------------
% 0.12/0.36 % (18982)------------------------------
% 0.12/0.36 % (18983)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.36 % (18981)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (18981)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (18981)Terminated due to inappropriate strategy.
% 0.12/0.36 % (18981)------------------------------
% 0.12/0.36 % (18981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (18981)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (18981)Memory used [KB]: 718
% 0.12/0.36 % (18981)Time elapsed: 0.002 s
% 0.12/0.36 % (18981)Instructions burned: 2 (million)
% 0.12/0.36 % (18981)------------------------------
% 0.12/0.36 % (18981)------------------------------
% 0.12/0.37 % (18988)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37 % (18988)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (18988)Terminated due to inappropriate strategy.
% 0.12/0.37 % (18988)------------------------------
% 0.12/0.37 % (18988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (18988)Termination reason: Inappropriate
% 0.12/0.37
% 0.12/0.37 % (18988)Memory used [KB]: 718
% 0.12/0.37 % (18988)Time elapsed: 0.002 s
% 0.12/0.37 % (18988)Instructions burned: 2 (million)
% 0.12/0.37 % (18988)------------------------------
% 0.12/0.37 % (18988)------------------------------
% 0.12/0.37 % (18990)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.37 % (18990)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (18990)Terminated due to inappropriate strategy.
% 0.12/0.37 % (18990)------------------------------
% 0.12/0.37 % (18990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (18990)Termination reason: Inappropriate
% 0.12/0.37 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.12/0.37
% 0.12/0.37 % (18990)Memory used [KB]: 718
% 0.12/0.37 % (18990)Time elapsed: 0.002 s
% 0.12/0.37 % (18990)Instructions burned: 2 (million)
% 0.12/0.37 % (18989)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.37 % (18990)------------------------------
% 0.12/0.37 % (18990)------------------------------
% 0.12/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.12/0.38 % (18991)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.12/0.38 % (18992)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.40 % (18983)First to succeed.
% 0.12/0.40 % (18983)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18980"
% 0.12/0.40 % (18983)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40 % (18983)------------------------------
% 0.12/0.40 % (18983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.40 % (18983)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (18983)Memory used [KB]: 1261
% 0.12/0.40 % (18983)Time elapsed: 0.041 s
% 0.12/0.40 % (18983)Instructions burned: 80 (million)
% 0.12/0.40 % (18980)Success in time 0.057 s
%------------------------------------------------------------------------------