TSTP Solution File: ARI449_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI449_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 : n008.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 18:50:23 EDT 2024
% Result : Theorem 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 59 ( 0 atm; 14 fun; 32 num; 13 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 : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f7928,plain,
$false,
inference(evaluation,[],[f7921]) ).
tff(f7921,plain,
29.0 != $product(7.25,4.0),
inference(unit_resulting_resolution,[],[f24,f6044]) ).
tff(f6044,plain,
! [X0: $real] :
( ( $product(7.25,X0) != 29.0 )
| ( sK0 = X0 ) ),
inference(evaluation,[],[f6032]) ).
tff(f6032,plain,
! [X0: $real] :
( ( $product(7.25,X0) != 29.0 )
| ( 7.25 = 0.0 )
| ( sK0 = X0 ) ),
inference(superposition,[],[f25,f23]) ).
tff(f23,plain,
29.0 = $product(7.25,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 4.0 != sK0 )
& ( 29.0 = $product(7.25,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $real] :
( ( 4.0 != X0 )
& ( $product(7.25,X0) = 29.0 ) )
=> ( ( 4.0 != sK0 )
& ( 29.0 = $product(7.25,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $real] :
( ( 4.0 != X0 )
& ( $product(7.25,X0) = 29.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(7.25,X0) = 29.0 )
=> ( 4.0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(7.25,X0) = 29.0 )
=> ( 4.0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_product_problem_14) ).
tff(f25,plain,
! [X2: $real,X3: $real,X0: $real] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0.0 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( ( 0.0 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_151,[]) ).
tff(f24,plain,
4.0 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ARI449_1 : TPTP v8.2.0. Released v5.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 13:38:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (7827)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (7830)WARNING: value z3 for option sas not known
% 0.11/0.33 % (7831)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33 % (7831)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.33 % (7831)Terminated due to inappropriate strategy.
% 0.11/0.33 % (7831)------------------------------
% 0.11/0.33 % (7831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (7831)Termination reason: Inappropriate
% 0.11/0.33
% 0.11/0.33 % (7831)Memory used [KB]: 724
% 0.11/0.33 % (7831)Time elapsed: 0.002 s
% 0.11/0.33 % (7831)Instructions burned: 2 (million)
% 0.11/0.33 % (7830)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)
% 0.11/0.33 % (7831)------------------------------
% 0.11/0.33 % (7831)------------------------------
% 0.11/0.33 % (7832)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)
% 0.11/0.33 % (7834)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)
% 0.11/0.33 % (7833)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)
% 0.11/0.33 % (7828)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (7828)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.33 % (7828)Terminated due to inappropriate strategy.
% 0.11/0.33 % (7828)------------------------------
% 0.11/0.33 % (7828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (7828)Termination reason: Inappropriate
% 0.11/0.33
% 0.11/0.33 % (7828)Memory used [KB]: 724
% 0.11/0.33 % (7828)Time elapsed: 0.002 s
% 0.11/0.33 % (7828)Instructions burned: 2 (million)
% 0.11/0.34 % (7828)------------------------------
% 0.11/0.34 % (7828)------------------------------
% 0.11/0.34 % (7829)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (7829)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.34 % (7829)Terminated due to inappropriate strategy.
% 0.11/0.34 % (7829)------------------------------
% 0.11/0.34 % (7829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (7829)Termination reason: Inappropriate
% 0.11/0.34
% 0.11/0.34 % (7829)Memory used [KB]: 725
% 0.11/0.34 % (7829)Time elapsed: 0.002 s
% 0.11/0.34 % (7829)Instructions burned: 2 (million)
% 0.11/0.34 % (7829)------------------------------
% 0.11/0.34 % (7829)------------------------------
% 0.16/0.34 % (7835)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.16/0.34 % (7835)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.34 % (7835)Terminated due to inappropriate strategy.
% 0.16/0.34 % (7835)------------------------------
% 0.16/0.34 % (7835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (7835)Termination reason: Inappropriate
% 0.16/0.34
% 0.16/0.34 % (7835)Memory used [KB]: 724
% 0.16/0.34 % (7835)Time elapsed: 0.002 s
% 0.16/0.34 % (7835)Instructions burned: 2 (million)
% 0.16/0.34 % (7835)------------------------------
% 0.16/0.34 % (7835)------------------------------
% 0.16/0.35 % (7836)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)
% 0.16/0.36 % (7838)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.16/0.37 % (7837)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)
% 0.16/0.44 % (7836)First to succeed.
% 0.16/0.45 % (7836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7827"
% 0.16/0.45 % (7836)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (7836)------------------------------
% 0.16/0.45 % (7836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.45 % (7836)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (7836)Memory used [KB]: 1418
% 0.16/0.45 % (7836)Time elapsed: 0.111 s
% 0.16/0.45 % (7836)Instructions burned: 215 (million)
% 0.16/0.45 % (7827)Success in time 0.123 s
%------------------------------------------------------------------------------