TSTP Solution File: ARI343_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI343_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 : 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 : Sun May 5 04:35:50 EDT 2024
% Result : Theorem 148.39s 26.56s
% Output : Refutation 148.39s
% 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,
( $less(-128/5,$product(-271/20,$sum(1/1,16/5)))
| ( -64/5 = $sum(-3/4,$product(-271/20,16/5)) ) ),
inference(superposition,[],[f20189,f671]) ).
tff(f671,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,$sum(1/1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f18,f16]) ).
tff(f16,plain,
! [X0: $rat] : ( $product(X0,1/1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f18,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f20189,plain,
! [X0: $rat] :
( $less(-128/5,$sum(-271/20,$product(X0,16/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(evaluation,[],[f20142]) ).
tff(f20142,plain,
! [X0: $rat] :
( $less($product(-64/5,2/1),$sum(-3/4,$sum($product(X0,16/5),-64/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(superposition,[],[f895,f5363]) ).
tff(f5363,plain,
! [X0: $rat] : ( $sum(X0,X0) = $product(X0,2/1) ),
inference(evaluation,[],[f5158]) ).
tff(f5158,plain,
! [X0: $rat] : ( $product(X0,$sum(1/1,1/1)) = $sum(X0,X0) ),
inference(superposition,[],[f671,f16]) ).
tff(f895,plain,
! [X0: $rat,X1: $rat] :
( $less($sum(-64/5,X1),$sum(-3/4,$sum($product(X0,16/5),X1)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(forward_demodulation,[],[f889,f4]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f889,plain,
! [X0: $rat,X1: $rat] :
( ( -64/5 = $sum(-3/4,$product(X0,16/5)) )
| $less($sum(-64/5,X1),$sum($sum(-3/4,$product(X0,16/5)),X1)) ),
inference(resolution,[],[f151,f11]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f151,plain,
! [X0: $rat] :
( $less(-64/5,$sum(-3/4,$product(X0,16/5)))
| ( -64/5 = $sum(-3/4,$product(X0,16/5)) ) ),
inference(resolution,[],[f10,f27]) ).
tff(f27,plain,
! [X0: $rat] : ~ $less($sum(-3/4,$product(X0,16/5)),-64/5),
inference(backward_demodulation,[],[f21,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f21,plain,
! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $rat] : ~ $less($sum($product(X0,16/5),-3/4),-64/5),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $less($sum($product(X0,16/5),-3/4),-64/5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_9) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ARI343_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n010.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 : Fri May 3 21:49:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (9574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (9580)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.35 % (9579)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.35 % (9578)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.35 % (9577)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)
% 0.18/0.35 % (9576)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35 % (9581)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)
% 0.18/0.35 % (9578)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.35 % (9578)Terminated due to inappropriate strategy.
% 0.18/0.35 % (9578)------------------------------
% 0.18/0.35 % (9578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35 % (9578)Termination reason: Inappropriate
% 0.18/0.35
% 0.18/0.35 % (9578)Memory used [KB]: 719
% 0.18/0.35 % (9578)Time elapsed: 0.002 s
% 0.18/0.35 % (9578)Instructions burned: 2 (million)
% 0.18/0.35 % (9576)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.35 % (9576)Terminated due to inappropriate strategy.
% 0.18/0.35 % (9576)------------------------------
% 0.18/0.35 % (9576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35 % (9581)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.35 % (9576)Termination reason: Inappropriate
% 0.18/0.35
% 0.18/0.35 % (9576)Memory used [KB]: 718
% 0.18/0.35 % (9576)Time elapsed: 0.002 s
% 0.18/0.35 % (9576)Instructions burned: 2 (million)
% 0.18/0.35 % (9581)Terminated due to inappropriate strategy.
% 0.18/0.35 % (9581)------------------------------
% 0.18/0.35 % (9581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35 % (9581)Termination reason: Inappropriate
% 0.18/0.35
% 0.18/0.35 % (9581)Memory used [KB]: 719
% 0.18/0.35 % (9581)Time elapsed: 0.002 s
% 0.18/0.35 % (9581)Instructions burned: 2 (million)
% 0.18/0.35 % (9578)------------------------------
% 0.18/0.35 % (9578)------------------------------
% 0.18/0.35 % (9576)------------------------------
% 0.18/0.35 % (9576)------------------------------
% 0.18/0.35 % (9581)------------------------------
% 0.18/0.35 % (9581)------------------------------
% 0.18/0.35 % (9575)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.36 % (9575)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.36 % (9575)Terminated due to inappropriate strategy.
% 0.18/0.36 % (9575)------------------------------
% 0.18/0.36 % (9575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.36 % (9575)Termination reason: Inappropriate
% 0.18/0.36
% 0.18/0.36 % (9575)Memory used [KB]: 718
% 0.18/0.36 % (9575)Time elapsed: 0.003 s
% 0.18/0.36 % (9575)Instructions burned: 2 (million)
% 0.18/0.36 % (9575)------------------------------
% 0.18/0.36 % (9575)------------------------------
% 0.18/0.37 % (9582)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)
% 0.18/0.37 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.18/0.37 % (9584)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)
% 0.18/0.37 % (9582)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.37 % (9582)Terminated due to inappropriate strategy.
% 0.18/0.37 % (9582)------------------------------
% 0.18/0.37 % (9582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.37 % (9582)Termination reason: Inappropriate
% 0.18/0.37
% 0.18/0.37 % (9582)Memory used [KB]: 719
% 0.18/0.37 % (9582)Time elapsed: 0.002 s
% 0.18/0.37 % (9582)Instructions burned: 2 (million)
% 0.18/0.37 % (9583)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)
% 0.18/0.37 % (9582)------------------------------
% 0.18/0.37 % (9582)------------------------------
% 0.18/0.37 % (9584)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.37 % (9584)Terminated due to inappropriate strategy.
% 0.18/0.37 % (9584)------------------------------
% 0.18/0.37 % (9584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.37 % (9584)Termination reason: Inappropriate
% 0.18/0.37
% 0.18/0.37 % (9584)Memory used [KB]: 719
% 0.18/0.37 % (9584)Time elapsed: 0.001 s
% 0.18/0.37 % (9584)Instructions burned: 2 (million)
% 0.18/0.37 % (9584)------------------------------
% 0.18/0.37 % (9584)------------------------------
% 0.18/0.37 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.18/0.37 % (9585)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)
% 0.18/0.38 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.18/0.38 % (9586)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 130.21/22.06 % (9580)Time limit reached!
% 130.21/22.06 % (9580)------------------------------
% 130.21/22.06 % (9580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.21/22.06 % (9580)Termination reason: Time limit
% 130.21/22.06 % (9580)Termination phase: Saturation
% 130.21/22.06
% 130.21/22.06 % (9580)Memory used [KB]: 190268
% 130.21/22.06 % (9580)Time elapsed: 21.700 s
% 130.21/22.06 % (9580)Instructions burned: 71481 (million)
% 130.21/22.06 % (9580)------------------------------
% 130.21/22.06 % (9580)------------------------------
% 130.21/22.08 % (9586)Time limit reached!
% 130.21/22.08 % (9586)------------------------------
% 130.21/22.08 % (9586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.21/22.08 % (9586)Termination reason: Time limit
% 130.21/22.08 % (9586)Termination phase: Saturation
% 130.21/22.08
% 130.21/22.08 % (9586)Memory used [KB]: 187675
% 130.21/22.08 % (9586)Time elapsed: 21.700 s
% 130.21/22.08 % (9586)Instructions burned: 66280 (million)
% 130.21/22.08 % (9586)------------------------------
% 130.21/22.08 % (9586)------------------------------
% 148.39/26.53 % (9579)First to succeed.
% 148.39/26.53 % (9579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9574"
% 148.39/26.56 % (9579)Refutation found. Thanks to Tanya!
% 148.39/26.56 % SZS status Theorem for theBenchmark
% 148.39/26.56 % SZS output start Proof for theBenchmark
% See solution above
% 148.39/26.56 % (9579)------------------------------
% 148.39/26.56 % (9579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 148.39/26.56 % (9579)Termination reason: Refutation
% 148.39/26.56
% 148.39/26.56 % (9579)Memory used [KB]: 347317
% 148.39/26.56 % (9579)Time elapsed: 26.174 s
% 148.39/26.56 % (9579)Instructions burned: 86834 (million)
% 148.39/26.56 % (9574)Success in time 26.217 s
%------------------------------------------------------------------------------