TSTP Solution File: ARI278_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI278_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 : n014.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 18:49:55 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 44 ( 0 atm; 14 fun; 25 num; 5 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 : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f19]) ).
tff(f19,plain,
1/3 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 1/3 != sK0 )
& ( $sum(5/12,$uminus(1/12)) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) )
=> ( ( 1/3 != sK0 )
& ( $sum(5/12,$uminus(1/12)) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( $sum(5/12,$uminus(1/12)) = X0 )
=> ( 1/3 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_6) ).
tff(f20,plain,
1/3 = sK0,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
$sum(5/12,$uminus(1/12)) = sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI278_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 13:17:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (18358)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (18361)WARNING: value z3 for option sas not known
% 0.13/0.36 % (18359)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (18360)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (18361)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)
% 0.13/0.36 % (18364)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)
% 0.13/0.36 % (18362)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (18360)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (18359)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (18359)Terminated due to inappropriate strategy.
% 0.13/0.36 % (18359)------------------------------
% 0.13/0.36 % (18359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (18359)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (18359)Memory used [KB]: 723
% 0.13/0.36 % (18359)Time elapsed: 0.002 s
% 0.13/0.36 % (18359)Instructions burned: 2 (million)
% 0.13/0.36 % (18360)Terminated due to inappropriate strategy.
% 0.13/0.36 % (18360)------------------------------
% 0.13/0.36 % (18360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (18360)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (18360)Memory used [KB]: 723
% 0.13/0.36 % (18365)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)
% 0.13/0.36 % (18360)Time elapsed: 0.002 s
% 0.13/0.36 % (18360)Instructions burned: 2 (million)
% 0.13/0.36 % (18359)------------------------------
% 0.13/0.36 % (18359)------------------------------
% 0.13/0.36 % (18362)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (18362)Terminated due to inappropriate strategy.
% 0.13/0.36 % (18362)------------------------------
% 0.13/0.36 % (18362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (18362)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (18362)Memory used [KB]: 723
% 0.13/0.36 % (18362)Time elapsed: 0.002 s
% 0.13/0.36 % (18360)------------------------------
% 0.13/0.36 % (18360)------------------------------
% 0.13/0.36 % (18362)Instructions burned: 2 (million)
% 0.13/0.36 % (18362)------------------------------
% 0.13/0.36 % (18362)------------------------------
% 0.13/0.36 % (18365)First to succeed.
% 0.13/0.36 % (18364)Also succeeded, but the first one will report.
% 0.13/0.36 % (18365)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18358"
% 0.13/0.36 % (18361)Also succeeded, but the first one will report.
% 0.13/0.36 % (18365)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (18365)------------------------------
% 0.13/0.36 % (18365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (18365)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (18365)Memory used [KB]: 750
% 0.13/0.36 % (18365)Time elapsed: 0.002 s
% 0.13/0.36 % (18365)Instructions burned: 2 (million)
% 0.13/0.36 % (18358)Success in time 0.006 s
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