TSTP Solution File: ARI690_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI690_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : Mon May 20 18:50:58 EDT 2024
% Result : Theorem 0.25s 0.43s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 47 ( 0 atm; 28 fun; 13 num; 6 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 3 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
c: $int ).
tff(func_def_1,type,
d: $int ).
tff(func_def_2,type,
a: $int ).
tff(f675,plain,
$false,
inference(subsumption_resolution,[],[f674,f25]) ).
tff(f25,plain,
a != $product(2,c),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
a != $product(2,c),
inference(flattening,[],[f4]) ).
tff(f4,negated_conjecture,
( ~ a = $product(2,c) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
a = $product(2,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f674,plain,
a = $product(2,c),
inference(superposition,[],[f27,f669]) ).
tff(f669,plain,
d = c,
inference(evaluation,[],[f663]) ).
tff(f663,plain,
$sum(c,0) = $uminus($uminus(d)),
inference(superposition,[],[f386,f10]) ).
tff(f10,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f386,plain,
! [X0: $int] : ( $sum(c,$sum($uminus(d),X0)) = X0 ),
inference(evaluation,[],[f360]) ).
tff(f360,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(c,$sum($uminus(d),X0)) ),
inference(superposition,[],[f7,f26]) ).
tff(f26,plain,
0 = $sum(c,$uminus(d)),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
0 = $sum(c,$uminus(d)),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$difference(c,d) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).
tff(f7,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f27,plain,
$product(2,d) = a,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(2,d) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI690_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.39 % Computer : n024.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sun May 19 12:50:53 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % (381)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.41 % (384)WARNING: value z3 for option sas not known
% 0.16/0.41 % (383)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.41 % (382)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.41 % (385)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.41 % (384)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)
% 0.16/0.41 % (387)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)
% 0.16/0.41 % (388)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)
% 0.16/0.41 % (386)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)
% 0.16/0.41 % (383)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.41 % (382)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.41 % (385)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.41 % (382)Terminated due to inappropriate strategy.
% 0.16/0.41 % (382)------------------------------
% 0.16/0.41 % (382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (385)Terminated due to inappropriate strategy.
% 0.16/0.41 % (385)------------------------------
% 0.16/0.41 % (385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (382)Termination reason: Inappropriate
% 0.16/0.41
% 0.16/0.41 % (385)Termination reason: Inappropriate
% 0.16/0.41
% 0.16/0.41 % (382)Memory used [KB]: 724
% 0.16/0.41 % (385)Memory used [KB]: 724
% 0.16/0.41 % (382)Time elapsed: 0.002 s
% 0.16/0.41 % (385)Time elapsed: 0.002 s
% 0.16/0.41 % (382)Instructions burned: 2 (million)
% 0.16/0.41 % (385)Instructions burned: 2 (million)
% 0.16/0.41 % (383)Terminated due to inappropriate strategy.
% 0.16/0.41 % (383)------------------------------
% 0.16/0.41 % (383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.41 % (383)Termination reason: Inappropriate
% 0.16/0.41
% 0.16/0.41 % (383)Memory used [KB]: 724
% 0.16/0.41 % (383)Time elapsed: 0.003 s
% 0.16/0.41 % (383)Instructions burned: 2 (million)
% 0.16/0.41 % (382)------------------------------
% 0.16/0.41 % (382)------------------------------
% 0.16/0.41 % (385)------------------------------
% 0.16/0.41 % (385)------------------------------
% 0.16/0.41 % (383)------------------------------
% 0.16/0.41 % (383)------------------------------
% 0.25/0.43 % (391)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)
% 0.25/0.43 % (389)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.25/0.43 % (390)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)
% 0.25/0.43 % (384)First to succeed.
% 0.25/0.43 % (389)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.43 % (389)Terminated due to inappropriate strategy.
% 0.25/0.43 % (389)------------------------------
% 0.25/0.43 % (389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.25/0.43 % (389)Termination reason: Inappropriate
% 0.25/0.43
% 0.25/0.43 % (389)Memory used [KB]: 724
% 0.25/0.43 % (384)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-381"
% 0.25/0.43 % (389)Time elapsed: 0.002 s
% 0.25/0.43 % (389)Instructions burned: 2 (million)
% 0.25/0.43 % (389)------------------------------
% 0.25/0.43 % (389)------------------------------
% 0.25/0.43 % (384)Refutation found. Thanks to Tanya!
% 0.25/0.43 % SZS status Theorem for theBenchmark
% 0.25/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.43 % (384)------------------------------
% 0.25/0.43 % (384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.25/0.43 % (384)Termination reason: Refutation
% 0.25/0.43
% 0.25/0.43 % (384)Memory used [KB]: 913
% 0.25/0.43 % (384)Time elapsed: 0.020 s
% 0.25/0.43 % (384)Instructions burned: 27 (million)
% 0.25/0.43 % (381)Success in time 0.034 s
%------------------------------------------------------------------------------