TSTP Solution File: ARI494_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI494_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 : n010.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 : Mon May 20 18:50:27 EDT 2024
% Result : Theorem 155.23s 28.18s
% Output : Refutation 155.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 168 ( 15 atm; 63 fun; 60 num; 30 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 : 9 ( 0 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 28 !; 2 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(f690134,plain,
$false,
inference(evaluation,[],[f690133]) ).
tff(f690133,plain,
( $less(-25.6,$product(-13.55,$sum(1.0,3.2)))
| ( -12.8 = $sum(-0.75,$product(-13.55,3.2)) ) ),
inference(superposition,[],[f20189,f671]) ).
tff(f671,plain,
! [X0: $real,X1: $real] : ( $product(X0,$sum(1.0,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
tff(f16,plain,
! [X0: $real] : ( $product(X0,1.0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
! [X2: $real,X0: $real,X1: $real] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f20189,plain,
! [X0: $real] :
( $less(-25.6,$sum(-13.55,$product(X0,3.2)))
| ( -12.8 = $sum(-0.75,$product(X0,3.2)) ) ),
inference(evaluation,[],[f20142]) ).
tff(f20142,plain,
! [X0: $real] :
( $less($product(-12.8,2.0),$sum(-0.75,$sum($product(X0,3.2),-12.8)))
| ( -12.8 = $sum(-0.75,$product(X0,3.2)) ) ),
inference(superposition,[],[f895,f5363]) ).
tff(f5363,plain,
! [X0: $real] : ( $sum(X0,X0) = $product(X0,2.0) ),
inference(evaluation,[],[f5158]) ).
tff(f5158,plain,
! [X0: $real] : ( $product(X0,$sum(1.0,1.0)) = $sum(X0,X0) ),
inference(superposition,[],[f671,f16]) ).
tff(f895,plain,
! [X0: $real,X1: $real] :
( $less($sum(-12.8,X1),$sum(-0.75,$sum($product(X0,3.2),X1)))
| ( -12.8 = $sum(-0.75,$product(X0,3.2)) ) ),
inference(forward_demodulation,[],[f889,f4]) ).
tff(f4,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f889,plain,
! [X0: $real,X1: $real] :
( ( -12.8 = $sum(-0.75,$product(X0,3.2)) )
| $less($sum(-12.8,X1),$sum($sum(-0.75,$product(X0,3.2)),X1)) ),
inference(resolution,[],[f151,f11]) ).
tff(f11,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f151,plain,
! [X0: $real] :
( $less(-12.8,$sum(-0.75,$product(X0,3.2)))
| ( -12.8 = $sum(-0.75,$product(X0,3.2)) ) ),
inference(resolution,[],[f10,f27]) ).
tff(f27,plain,
! [X0: $real] : ~ $less($sum(-0.75,$product(X0,3.2)),-12.8),
inference(backward_demodulation,[],[f21,f3]) ).
tff(f3,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f21,plain,
! [X0: $real] : ~ $less($sum($product(X0,3.2),-0.75),-12.8),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $real] : ~ $less($sum($product(X0,3.2),-0.75),-12.8),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $less($sum($product(X0,3.2),-0.75),-12.8),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $real] : $less($sum($product(X0,3.2),-0.75),-12.8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_9) ).
tff(f10,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI494_1 : TPTP v8.2.0. Released v5.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n010.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 : Sun May 19 13:29:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (24104)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24105)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (24106)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (24107)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)
% 0.22/0.38 % (24110)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (24108)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (24109)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (24111)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)
% 0.22/0.38 % (24105)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (24106)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (24105)Terminated due to inappropriate strategy.
% 0.22/0.38 % (24105)------------------------------
% 0.22/0.38 % (24105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24105)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (24105)Memory used [KB]: 718
% 0.22/0.38 % (24105)Time elapsed: 0.002 s
% 0.22/0.38 % (24105)Instructions burned: 2 (million)
% 0.22/0.38 % (24106)Terminated due to inappropriate strategy.
% 0.22/0.38 % (24106)------------------------------
% 0.22/0.38 % (24106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24108)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (24108)Terminated due to inappropriate strategy.
% 0.22/0.38 % (24108)------------------------------
% 0.22/0.38 % (24108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24106)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (24106)Memory used [KB]: 718
% 0.22/0.38 % (24106)Time elapsed: 0.002 s
% 0.22/0.38 % (24106)Instructions burned: 2 (million)
% 0.22/0.38 % (24108)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (24108)Memory used [KB]: 719
% 0.22/0.38 % (24108)Time elapsed: 0.002 s
% 0.22/0.38 % (24108)Instructions burned: 2 (million)
% 0.22/0.38 % (24111)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (24111)Terminated due to inappropriate strategy.
% 0.22/0.38 % (24111)------------------------------
% 0.22/0.38 % (24111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24105)------------------------------
% 0.22/0.38 % (24105)------------------------------
% 0.22/0.38 % (24111)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (24111)Memory used [KB]: 719
% 0.22/0.38 % (24111)Time elapsed: 0.002 s
% 0.22/0.38 % (24111)Instructions burned: 2 (million)
% 0.22/0.38 % (24106)------------------------------
% 0.22/0.38 % (24106)------------------------------
% 0.22/0.38 % (24108)------------------------------
% 0.22/0.38 % (24108)------------------------------
% 0.22/0.38 % (24111)------------------------------
% 0.22/0.38 % (24111)------------------------------
% 0.22/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.40 % (24112)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)
% 0.22/0.40 % (24114)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)
% 0.22/0.40 % (24113)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)
% 0.22/0.40 % (24115)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)
% 0.22/0.40 % (24112)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (24114)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (24114)Terminated due to inappropriate strategy.
% 0.22/0.40 % (24114)------------------------------
% 0.22/0.40 % (24114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (24112)Terminated due to inappropriate strategy.
% 0.22/0.40 % (24112)------------------------------
% 0.22/0.40 % (24112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (24112)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (24112)Memory used [KB]: 719
% 0.22/0.40 % (24112)Time elapsed: 0.002 s
% 0.22/0.40 % (24112)Instructions burned: 2 (million)
% 0.22/0.40 % (24114)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (24114)Memory used [KB]: 719
% 0.22/0.40 % (24114)Time elapsed: 0.002 s
% 0.22/0.40 % (24114)Instructions burned: 2 (million)
% 0.22/0.40 % (24112)------------------------------
% 0.22/0.40 % (24112)------------------------------
% 0.22/0.40 % (24114)------------------------------
% 0.22/0.40 % (24114)------------------------------
% 0.22/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.41 % (24116)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 130.52/22.08 % (24110)Time limit reached!
% 130.52/22.08 % (24110)------------------------------
% 130.52/22.08 % (24110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.52/22.08 % (24110)Termination reason: Time limit
% 130.52/22.08 % (24110)Termination phase: Saturation
% 130.52/22.08
% 130.52/22.08 % (24110)Memory used [KB]: 205359
% 130.52/22.08 % (24110)Time elapsed: 21.700 s
% 130.52/22.08 % (24110)Instructions burned: 76839 (million)
% 130.52/22.08 % (24110)------------------------------
% 130.52/22.08 % (24110)------------------------------
% 130.79/22.10 % (24116)Time limit reached!
% 130.79/22.10 % (24116)------------------------------
% 130.79/22.10 % (24116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.79/22.10 % (24116)Termination reason: Time limit
% 130.79/22.10 % (24116)Termination phase: Saturation
% 130.79/22.10
% 130.79/22.10 % (24116)Memory used [KB]: 198424
% 130.79/22.10 % (24116)Time elapsed: 21.700 s
% 130.79/22.10 % (24116)Instructions burned: 71723 (million)
% 130.79/22.10 % (24116)------------------------------
% 130.79/22.10 % (24116)------------------------------
% 155.04/28.14 % (24109)First to succeed.
% 155.04/28.14 % (24109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24104"
% 155.23/28.18 % (24109)Refutation found. Thanks to Tanya!
% 155.23/28.18 % SZS status Theorem for theBenchmark
% 155.23/28.18 % SZS output start Proof for theBenchmark
% See solution above
% 155.23/28.18 % (24109)------------------------------
% 155.23/28.18 % (24109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 155.23/28.18 % (24109)Termination reason: Refutation
% 155.23/28.18
% 155.23/28.18 % (24109)Memory used [KB]: 347317
% 155.23/28.18 % (24109)Time elapsed: 27.762 s
% 155.23/28.18 % (24109)Instructions burned: 87328 (million)
% 155.23/28.18 % (24104)Success in time 27.819 s
%------------------------------------------------------------------------------