TSTP Solution File: NUM865_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM865_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 : n022.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 08:42:59 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 37 ( 8 ~; 0 |; 26 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 81 ( 0 atm; 42 fun; 0 num; 39 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 : 8 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 18 !; 21 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: $int ).
tff(func_def_9,type,
sK5: $int ).
tff(func_def_10,type,
sK6: $int ).
tff(f594,plain,
$false,
inference(trivial_inequality_removal,[],[f593]) ).
tff(f593,plain,
sK4 != sK4,
inference(superposition,[],[f23,f572]) ).
tff(f572,plain,
sK4 = sK6,
inference(backward_demodulation,[],[f22,f571]) ).
tff(f571,plain,
sK4 = $sum(sK0,sK5),
inference(forward_demodulation,[],[f561,f20]) ).
tff(f20,plain,
sK4 = $sum(sK3,sK2),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK4 != sK6 )
& ( sK6 = $sum(sK0,sK5) )
& ( sK5 = $sum(sK1,sK2) )
& ( sK4 = $sum(sK3,sK2) )
& ( sK3 = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( ( sK4 != sK6 )
& ( sK6 = $sum(sK0,sK5) )
& ( sK5 = $sum(sK1,sK2) )
& ( sK4 = $sum(sK3,sK2) )
& ( sK3 = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_sum_forall) ).
tff(f561,plain,
$sum(sK0,sK5) = $sum(sK3,sK2),
inference(superposition,[],[f462,f21]) ).
tff(f21,plain,
sK5 = $sum(sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
tff(f462,plain,
! [X0: $int] : ( $sum(sK3,X0) = $sum(sK0,$sum(sK1,X0)) ),
inference(superposition,[],[f4,f19]) ).
tff(f19,plain,
sK3 = $sum(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f22,plain,
sK6 = $sum(sK0,sK5),
inference(cnf_transformation,[],[f18]) ).
tff(f23,plain,
sK4 != sK6,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM865_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 : n022.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 : Fri May 3 14:58:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28827)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28830)WARNING: value z3 for option sas not known
% 0.14/0.37 % (28829)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (28831)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (28830)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)
% 0.14/0.37 % (28828)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (28832)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)
% 0.14/0.37 % (28833)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)
% 0.14/0.37 % (28829)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (28831)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (28829)Terminated due to inappropriate strategy.
% 0.14/0.37 % (28829)------------------------------
% 0.14/0.37 % (28829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28829)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (28829)Memory used [KB]: 725
% 0.14/0.37 % (28829)Time elapsed: 0.002 s
% 0.14/0.37 % (28829)Instructions burned: 2 (million)
% 0.14/0.37 % (28831)Terminated due to inappropriate strategy.
% 0.14/0.37 % (28831)------------------------------
% 0.14/0.37 % (28831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28828)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (28834)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)
% 0.14/0.37 % (28831)Termination reason: Inappropriate
% 0.14/0.37 % (28828)Terminated due to inappropriate strategy.
% 0.14/0.37 % (28828)------------------------------
% 0.14/0.37 % (28828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28828)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (28828)Memory used [KB]: 724
% 0.14/0.37 % (28828)Time elapsed: 0.002 s
% 0.14/0.37 % (28828)Instructions burned: 2 (million)
% 0.14/0.37
% 0.14/0.37 % (28831)Memory used [KB]: 724
% 0.14/0.37 % (28831)Time elapsed: 0.002 s
% 0.14/0.37 % (28831)Instructions burned: 2 (million)
% 0.14/0.37 % (28829)------------------------------
% 0.14/0.37 % (28829)------------------------------
% 0.14/0.37 % (28828)------------------------------
% 0.14/0.37 % (28828)------------------------------
% 0.14/0.37 % (28831)------------------------------
% 0.14/0.37 % (28831)------------------------------
% 0.14/0.38 % (28833)First to succeed.
% 0.14/0.38 % (28833)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28827"
% 0.14/0.38 % (28835)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.38 % (28836)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)
% 0.14/0.38 % (28835)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (28837)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)
% 0.14/0.38 % (28835)Terminated due to inappropriate strategy.
% 0.14/0.38 % (28835)------------------------------
% 0.14/0.38 % (28835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (28835)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (28835)Memory used [KB]: 724
% 0.14/0.38 % (28835)Time elapsed: 0.002 s
% 0.14/0.38 % (28835)Instructions burned: 2 (million)
% 0.14/0.39 % (28833)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (28833)------------------------------
% 0.14/0.39 % (28833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (28833)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (28833)Memory used [KB]: 1031
% 0.14/0.39 % (28833)Time elapsed: 0.018 s
% 0.14/0.39 % (28833)Instructions burned: 27 (million)
% 0.14/0.39 % (28827)Success in time 0.022 s
%------------------------------------------------------------------------------