TSTP Solution File: NUM866_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM866_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 : n009.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 : Tue Apr 30 14:38:17 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 18 ( 0 atm; 7 fun; 7 num; 4 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 : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f19,plain,
$false,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
sK0 != $sum(sK0,0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
sK0 != $sum(sK0,0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] : ( $sum(X0,0) != X0 )
=> ( sK0 != $sum(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] : ( $sum(X0,0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] : ( $sum(X0,0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_0_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM866_1 : TPTP v8.1.2. Released v5.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:23:41 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % (9617)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (9620)WARNING: value z3 for option sas not known
% 0.16/0.33 % (9620)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)
% 0.16/0.33 % (9619)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (9619)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (9619)Terminated due to inappropriate strategy.
% 0.16/0.33 % (9619)------------------------------
% 0.16/0.33 % (9619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (9619)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (9619)Memory used [KB]: 722
% 0.16/0.33 % (9619)Time elapsed: 0.002 s
% 0.16/0.33 % (9619)Instructions burned: 2 (million)
% 0.16/0.33 % (9619)------------------------------
% 0.16/0.33 % (9619)------------------------------
% 0.16/0.33 % (9621)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (9623)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)
% 0.16/0.33 % (9624)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)
% 0.16/0.33 % (9618)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (9622)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)
% 0.16/0.33 % (9621)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (9621)Terminated due to inappropriate strategy.
% 0.16/0.33 % (9621)------------------------------
% 0.16/0.33 % (9621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (9621)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (9621)Memory used [KB]: 722
% 0.16/0.33 % (9621)Time elapsed: 0.002 s
% 0.16/0.33 % (9621)Instructions burned: 2 (million)
% 0.16/0.33 % (9621)------------------------------
% 0.16/0.33 % (9621)------------------------------
% 0.16/0.33 % (9623)First to succeed.
% 0.16/0.33 % (9618)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.33 % (9618)Terminated due to inappropriate strategy.
% 0.16/0.33 % (9618)------------------------------
% 0.16/0.33 % (9618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (9618)Termination reason: Inappropriate
% 0.16/0.33
% 0.16/0.33 % (9618)Memory used [KB]: 722
% 0.16/0.33 % (9618)Time elapsed: 0.002 s
% 0.16/0.33 % (9618)Instructions burned: 2 (million)
% 0.16/0.33 % (9618)------------------------------
% 0.16/0.33 % (9618)------------------------------
% 0.16/0.33 % (9620)Also succeeded, but the first one will report.
% 0.16/0.33 % (9624)Also succeeded, but the first one will report.
% 0.16/0.33 % (9623)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (9623)------------------------------
% 0.16/0.33 % (9623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (9623)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (9623)Memory used [KB]: 732
% 0.16/0.33 % (9623)Time elapsed: 0.002 s
% 0.16/0.33 % (9623)Instructions burned: 2 (million)
% 0.16/0.33 % (9623)------------------------------
% 0.16/0.33 % (9623)------------------------------
% 0.16/0.33 % (9617)Success in time 0.014 s
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