TSTP Solution File: ARI448_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI448_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 : 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 : Mon May 20 18:50:23 EDT 2024
% Result : Theorem 65.52s 9.81s
% Output : Refutation 65.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 66 ( 0 atm; 17 fun; 34 num; 15 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 : 15 ( 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f295998,plain,
$false,
inference(evaluation,[],[f295988]) ).
tff(f295988,plain,
29.0 != $product(4.0,7.25),
inference(unit_resulting_resolution,[],[f24,f5810]) ).
tff(f5810,plain,
! [X0: $real] :
( ( 29.0 != $product(4.0,X0) )
| ( sK0 = X0 ) ),
inference(evaluation,[],[f5796]) ).
tff(f5796,plain,
! [X0: $real] :
( ( 29.0 != $product(4.0,X0) )
| ( 4.0 = 0.0 )
| ( sK0 = X0 ) ),
inference(superposition,[],[f25,f38]) ).
tff(f38,plain,
29.0 = $product(4.0,sK0),
inference(superposition,[],[f14,f23]) ).
tff(f23,plain,
29.0 = $product(sK0,4.0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 7.25 != sK0 )
& ( 29.0 = $product(sK0,4.0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $real] :
( ( 7.25 != X0 )
& ( $product(X0,4.0) = 29.0 ) )
=> ( ( 7.25 != sK0 )
& ( 29.0 = $product(sK0,4.0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $real] :
( ( 7.25 != X0 )
& ( $product(X0,4.0) = 29.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(X0,4.0) = 29.0 )
=> ( 7.25 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(X0,4.0) = 29.0 )
=> ( 7.25 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_13) ).
tff(f14,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
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,
7.25 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ARI448_1 : TPTP v8.2.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n029.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 13:32:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (10532)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (10535)WARNING: value z3 for option sas not known
% 0.12/0.36 % (10537)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)
% 0.12/0.36 % (10533)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (10536)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (10534)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (10535)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)
% 0.12/0.36 % (10539)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)
% 0.12/0.36 % (10536)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (10534)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (10533)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (10534)Terminated due to inappropriate strategy.
% 0.12/0.36 % (10534)------------------------------
% 0.12/0.36 % (10534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (10533)Terminated due to inappropriate strategy.
% 0.12/0.36 % (10533)------------------------------
% 0.12/0.36 % (10533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (10533)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (10533)Memory used [KB]: 724
% 0.12/0.36 % (10533)Time elapsed: 0.002 s
% 0.12/0.36 % (10533)Instructions burned: 2 (million)
% 0.12/0.36 % (10536)Terminated due to inappropriate strategy.
% 0.12/0.36 % (10536)------------------------------
% 0.12/0.36 % (10536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (10536)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (10536)Memory used [KB]: 724
% 0.12/0.36 % (10536)Time elapsed: 0.002 s
% 0.12/0.36 % (10536)Instructions burned: 2 (million)
% 0.12/0.36 % (10538)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)
% 0.12/0.36 % (10534)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (10534)Memory used [KB]: 725
% 0.12/0.36 % (10534)Time elapsed: 0.002 s
% 0.12/0.36 % (10534)Instructions burned: 2 (million)
% 0.12/0.36 % (10536)------------------------------
% 0.12/0.36 % (10536)------------------------------
% 0.12/0.36 % (10533)------------------------------
% 0.12/0.36 % (10533)------------------------------
% 0.12/0.36 % (10534)------------------------------
% 0.12/0.36 % (10534)------------------------------
% 0.12/0.37 % (10540)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.12/0.37 % (10542)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)
% 0.12/0.37 % (10541)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)
% 0.12/0.37 % (10540)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.37 % (10540)Terminated due to inappropriate strategy.
% 0.12/0.37 % (10540)------------------------------
% 0.12/0.37 % (10540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (10540)Termination reason: Inappropriate
% 0.12/0.37
% 0.12/0.37 % (10540)Memory used [KB]: 724
% 0.12/0.37 % (10540)Time elapsed: 0.002 s
% 0.12/0.37 % (10540)Instructions burned: 2 (million)
% 0.12/0.37 % (10540)------------------------------
% 0.12/0.37 % (10540)------------------------------
% 0.12/0.39 % (10543)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)
% 65.52/9.80 % (10541)First to succeed.
% 65.52/9.80 % (10541)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10532"
% 65.52/9.81 % (10541)Refutation found. Thanks to Tanya!
% 65.52/9.81 % SZS status Theorem for theBenchmark
% 65.52/9.81 % SZS output start Proof for theBenchmark
% See solution above
% 65.52/9.81 % (10541)------------------------------
% 65.52/9.81 % (10541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 65.52/9.81 % (10541)Termination reason: Refutation
% 65.52/9.81
% 65.52/9.81 % (10541)Memory used [KB]: 31665
% 65.52/9.81 % (10541)Time elapsed: 9.424 s
% 65.52/9.81 % (10541)Instructions burned: 19290 (million)
% 65.52/9.81 % (10532)Success in time 9.449 s
%------------------------------------------------------------------------------