TSTP Solution File: ARI172_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI172_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 : n008.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 10:34:43 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 170 ( 34 atm; 53 fun; 39 num; 44 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 : 14 ( 0 usr; 12 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 2 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1645,plain,
$false,
inference(resolution,[],[f746,f16]) ).
tff(f16,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-10),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int] : ~ $less($sum(X0,X0),-10),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum(X0,X0),-10),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $less($sum(X0,X0),-10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f746,plain,
! [X0: $int] : $less($sum(-10,X0),X0),
inference(evaluation,[],[f719]) ).
tff(f719,plain,
! [X0: $int] : $less($sum($uminus(10),X0),X0),
inference(superposition,[],[f241,f530]) ).
tff(f530,plain,
! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f489]) ).
tff(f489,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(f241,plain,
! [X0: $int] : $less(X0,$sum(10,X0)),
inference(evaluation,[],[f234]) ).
tff(f234,plain,
! [X0: $int] : $less(X0,$sum(9,$sum(X0,1))),
inference(resolution,[],[f226,f85]) ).
tff(f85,plain,
! [X0: $int,X1: $int] :
( ~ $less($sum(X0,1),X1)
| $less(X0,X1) ),
inference(resolution,[],[f9,f30]) ).
tff(f30,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f226,plain,
! [X0: $int] : $less(X0,$sum(9,X0)),
inference(evaluation,[],[f219]) ).
tff(f219,plain,
! [X0: $int] : $less(X0,$sum(8,$sum(X0,1))),
inference(resolution,[],[f211,f85]) ).
tff(f211,plain,
! [X0: $int] : $less(X0,$sum(8,X0)),
inference(evaluation,[],[f204]) ).
tff(f204,plain,
! [X0: $int] : $less(X0,$sum(7,$sum(X0,1))),
inference(resolution,[],[f171,f85]) ).
tff(f171,plain,
! [X0: $int] : $less(X0,$sum(7,X0)),
inference(evaluation,[],[f164]) ).
tff(f164,plain,
! [X0: $int] : $less(X0,$sum(6,$sum(X0,1))),
inference(resolution,[],[f156,f85]) ).
tff(f156,plain,
! [X0: $int] : $less(X0,$sum(6,X0)),
inference(evaluation,[],[f149]) ).
tff(f149,plain,
! [X0: $int] : $less(X0,$sum(5,$sum(X0,1))),
inference(resolution,[],[f141,f85]) ).
tff(f141,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f134]) ).
tff(f134,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(X0,1))),
inference(resolution,[],[f126,f85]) ).
tff(f126,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f119]) ).
tff(f119,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(X0,1))),
inference(resolution,[],[f111,f85]) ).
tff(f111,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f104]) ).
tff(f104,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f102,f85]) ).
tff(f102,plain,
! [X0: $int] : $less(X0,$sum(2,X0)),
inference(evaluation,[],[f94]) ).
tff(f94,plain,
! [X0: $int] : $less(X0,$sum(1,$sum(X0,1))),
inference(resolution,[],[f85,f35]) ).
tff(f35,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f30,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI172_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:33:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (31034)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31037)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (31041)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (31038)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (31039)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)
% 0.14/0.37 % (31042)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (31040)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (31037)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (31037)Terminated due to inappropriate strategy.
% 0.14/0.37 % (31037)------------------------------
% 0.14/0.37 % (31037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (31037)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (31043)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)
% 0.14/0.37 % (31037)Memory used [KB]: 716
% 0.14/0.37 % (31037)Time elapsed: 0.002 s
% 0.14/0.37 % (31037)Instructions burned: 2 (million)
% 0.14/0.37 % (31037)------------------------------
% 0.14/0.37 % (31037)------------------------------
% 0.14/0.37 % (31038)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (31038)Terminated due to inappropriate strategy.
% 0.14/0.37 % (31038)------------------------------
% 0.14/0.37 % (31038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (31038)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (31038)Memory used [KB]: 716
% 0.14/0.37 % (31038)Time elapsed: 0.002 s
% 0.14/0.37 % (31038)Instructions burned: 2 (million)
% 0.14/0.37 % (31038)------------------------------
% 0.14/0.37 % (31038)------------------------------
% 0.14/0.37 % (31040)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (31040)Terminated due to inappropriate strategy.
% 0.14/0.37 % (31040)------------------------------
% 0.14/0.37 % (31040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (31040)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (31040)Memory used [KB]: 716
% 0.14/0.37 % (31040)Time elapsed: 0.002 s
% 0.14/0.37 % (31040)Instructions burned: 2 (million)
% 0.14/0.37 % (31040)------------------------------
% 0.14/0.37 % (31040)------------------------------
% 0.14/0.37 % (31043)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (31043)Terminated due to inappropriate strategy.
% 0.14/0.37 % (31043)------------------------------
% 0.14/0.37 % (31043)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (31043)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (31043)Memory used [KB]: 716
% 0.14/0.37 % (31043)Time elapsed: 0.002 s
% 0.14/0.37 % (31043)Instructions burned: 2 (million)
% 0.14/0.37 % (31043)------------------------------
% 0.14/0.37 % (31043)------------------------------
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.39 % (31055)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)
% 0.14/0.39 % (31058)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)
% 0.14/0.39 % (31056)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)
% 0.14/0.39 % (31055)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (31057)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)
% 0.14/0.39 % (31055)Terminated due to inappropriate strategy.
% 0.14/0.39 % (31055)------------------------------
% 0.14/0.39 % (31055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (31055)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (31055)Memory used [KB]: 716
% 0.14/0.39 % (31055)Time elapsed: 0.002 s
% 0.14/0.39 % (31055)Instructions burned: 2 (million)
% 0.14/0.39 % (31055)------------------------------
% 0.14/0.39 % (31055)------------------------------
% 0.14/0.39 % (31057)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (31057)Terminated due to inappropriate strategy.
% 0.14/0.39 % (31057)------------------------------
% 0.14/0.39 % (31057)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (31057)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (31057)Memory used [KB]: 716
% 0.14/0.39 % (31057)Time elapsed: 0.002 s
% 0.14/0.39 % (31057)Instructions burned: 2 (million)
% 0.14/0.39 % (31057)------------------------------
% 0.14/0.39 % (31057)------------------------------
% 0.20/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.20/0.41 % (31041)First to succeed.
% 0.20/0.41 % (31064)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.41 % (31041)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (31041)------------------------------
% 0.20/0.41 % (31041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41 % (31041)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (31041)Memory used [KB]: 1237
% 0.20/0.41 % (31041)Time elapsed: 0.036 s
% 0.20/0.41 % (31041)Instructions burned: 60 (million)
% 0.20/0.41 % (31041)------------------------------
% 0.20/0.41 % (31041)------------------------------
% 0.20/0.41 % (31034)Success in time 0.049 s
%------------------------------------------------------------------------------