TSTP Solution File: ARI123_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI123_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 : n029.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 04:35:25 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 46 ( 0 atm; 16 fun; 0 num; 30 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 : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 30 ( 16 !; 14 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(f29,plain,
$false,
inference(equality_resolution,[],[f27]) ).
tff(f27,plain,
! [X6: $int,X4: $int] : ( X4 != X6 ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $product(X0,X5) = X6 )
& ( $product(X1,X2) = X5 )
& ( $product(X3,X2) = X4 )
& ( $product(X0,X1) = X3 ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $product(X0,X5) = X6 )
& ( $product(X1,X2) = X5 )
& ( $product(X3,X2) = X4 )
& ( $product(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] :
( ( ( $product(X0,X5) = X6 )
& ( $product(X1,X2) = X5 )
& ( $product(X3,X2) = X4 )
& ( $product(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] :
( ( ( $product(X0,X5) = X6 )
& ( $product(X1,X2) = X5 )
& ( $product(X3,X2) = X4 )
& ( $product(X0,X1) = X3 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_product_exists) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI123_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 21:51:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (7497)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (7498)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (7498)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (7498)Terminated due to inappropriate strategy.
% 0.15/0.37 % (7498)------------------------------
% 0.15/0.37 % (7498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (7498)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (7498)Memory used [KB]: 724
% 0.15/0.37 % (7498)Time elapsed: 0.002 s
% 0.15/0.37 % (7498)Instructions burned: 2 (million)
% 0.15/0.37 % (7498)------------------------------
% 0.15/0.37 % (7498)------------------------------
% 0.15/0.37 % (7500)WARNING: value z3 for option sas not known
% 0.15/0.37 % (7499)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (7501)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (7502)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)
% 0.15/0.37 % (7500)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)
% 0.15/0.37 % (7503)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)
% 0.15/0.37 % (7504)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)
% 0.15/0.37 % (7499)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (7499)Terminated due to inappropriate strategy.
% 0.15/0.37 % (7499)------------------------------
% 0.15/0.37 % (7499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (7499)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (7499)Memory used [KB]: 724
% 0.15/0.37 % (7499)Time elapsed: 0.002 s
% 0.15/0.37 % (7499)Instructions burned: 2 (million)
% 0.15/0.37 % (7501)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.37 % (7501)Terminated due to inappropriate strategy.
% 0.15/0.37 % (7501)------------------------------
% 0.15/0.37 % (7501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (7501)Termination reason: Inappropriate
% 0.15/0.37
% 0.15/0.37 % (7501)Memory used [KB]: 724
% 0.15/0.37 % (7501)Time elapsed: 0.002 s
% 0.15/0.37 % (7501)Instructions burned: 2 (million)
% 0.15/0.38 % (7499)------------------------------
% 0.15/0.38 % (7499)------------------------------
% 0.15/0.38 % (7501)------------------------------
% 0.15/0.38 % (7501)------------------------------
% 0.15/0.38 % (7502)Also succeeded, but the first one will report.
% 0.15/0.38 % (7503)First to succeed.
% 0.15/0.38 % (7504)Also succeeded, but the first one will report.
% 0.15/0.38 % (7503)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7497"
% 0.15/0.38 % (7500)Also succeeded, but the first one will report.
% 0.15/0.38 % (7503)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (7503)------------------------------
% 0.15/0.38 % (7503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (7503)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (7503)Memory used [KB]: 734
% 0.15/0.38 % (7503)Time elapsed: 0.003 s
% 0.15/0.38 % (7503)Instructions burned: 2 (million)
% 0.15/0.38 % (7497)Success in time 0.016 s
%------------------------------------------------------------------------------