TSTP Solution File: ARI081_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI081_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 : n016.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 18:49:24 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 9 ~; 0 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 63 ( 0 atm; 16 fun; 37 num; 10 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 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f26,plain,
$false,
inference(trivial_inequality_removal,[],[f25]) ).
tff(f25,plain,
13 != 13,
inference(superposition,[],[f24,f22]) ).
tff(f22,plain,
sK0 = 13,
inference(evaluation,[],[f19]) ).
tff(f19,plain,
$sum(6,7) = sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK0 != sK1 )
& ( $sum(7,6) = sK1 )
& ( $sum(6,7) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( ( sK0 != sK1 )
& ( $sum(7,6) = sK1 )
& ( $sum(6,7) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communative_sum_6_7) ).
tff(f24,plain,
sK0 != 13,
inference(backward_demodulation,[],[f21,f23]) ).
tff(f23,plain,
sK1 = 13,
inference(evaluation,[],[f20]) ).
tff(f20,plain,
$sum(7,6) = sK1,
inference(cnf_transformation,[],[f18]) ).
tff(f21,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : ARI081_1 : TPTP v8.2.0. Released v5.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 13:14:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23459)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23462)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23460)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23463)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23461)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23462)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)
% 0.14/0.38 % (23465)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)
% 0.14/0.38 % (23464)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)
% 0.14/0.38 % (23466)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)
% 0.14/0.38 % (23463)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (23461)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (23460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (23460)Terminated due to inappropriate strategy.
% 0.14/0.38 % (23460)------------------------------
% 0.14/0.38 % (23460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (23460)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (23461)Terminated due to inappropriate strategy.
% 0.14/0.38 % (23461)------------------------------
% 0.14/0.38 % (23461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (23460)Memory used [KB]: 723
% 0.14/0.38 % (23460)Time elapsed: 0.003 s
% 0.14/0.38 % (23461)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (23461)Memory used [KB]: 723
% 0.14/0.38 % (23460)Instructions burned: 2 (million)
% 0.14/0.38 % (23461)Time elapsed: 0.003 s
% 0.14/0.38 % (23461)Instructions burned: 2 (million)
% 0.14/0.38 % (23463)Terminated due to inappropriate strategy.
% 0.14/0.38 % (23463)------------------------------
% 0.14/0.38 % (23463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (23463)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (23463)Memory used [KB]: 723
% 0.14/0.38 % (23463)Time elapsed: 0.003 s
% 0.14/0.38 % (23463)Instructions burned: 2 (million)
% 0.14/0.38 % (23460)------------------------------
% 0.14/0.38 % (23460)------------------------------
% 0.14/0.38 % (23461)------------------------------
% 0.14/0.38 % (23461)------------------------------
% 0.14/0.38 % (23463)------------------------------
% 0.14/0.38 % (23463)------------------------------
% 0.14/0.38 % (23464)Also succeeded, but the first one will report.
% 0.14/0.38 % (23466)Also succeeded, but the first one will report.
% 0.14/0.38 % (23465)First to succeed.
% 0.14/0.38 % (23465)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23459"
% 0.14/0.38 % (23462)Also succeeded, but the first one will report.
% 0.14/0.38 % (23465)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (23465)------------------------------
% 0.14/0.38 % (23465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (23465)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (23465)Memory used [KB]: 751
% 0.14/0.38 % (23465)Time elapsed: 0.004 s
% 0.14/0.38 % (23465)Instructions burned: 3 (million)
% 0.14/0.38 % (23459)Success in time 0.005 s
%------------------------------------------------------------------------------