TSTP Solution File: ARI076_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI076_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 : n024.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 10:34:33 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   46 (   0 atm;  17 fun;  15 num;  14 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    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  12   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f613,plain,
    $false,
    inference(equality_resolution,[],[f612]) ).

tff(f612,plain,
    ! [X0: $int] : ( 3 != X0 ),
    inference(evaluation,[],[f606]) ).

tff(f606,plain,
    ! [X0: $int] : ( 3 != $sum(X0,0) ),
    inference(superposition,[],[f580,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f580,plain,
    ! [X0: $int,X1: $int] : ( 3 != $sum(X0,$sum(X1,-2)) ),
    inference(superposition,[],[f16,f4]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f16,plain,
    ! [X0: $int] : ( $sum(X0,-2) != 3 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ( $sum(X0,-2) != 3 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $sum(X0,-2) = 3 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $sum(X0,-2) = 3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_n2_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI076_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 05:35:51 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (24554)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (24557)WARNING: value z3 for option sas not known
% 0.15/0.38  % (24558)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (24555)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (24560)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)
% 0.15/0.38  % (24559)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)
% 0.15/0.38  % (24557)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)
% 0.15/0.38  % (24561)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)
% 0.15/0.38  % (24556)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (24558)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (24555)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (24558)Terminated due to inappropriate strategy.
% 0.15/0.38  % (24558)------------------------------
% 0.15/0.38  % (24558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (24558)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (24558)Memory used [KB]: 720
% 0.15/0.38  % (24558)Time elapsed: 0.002 s
% 0.15/0.38  % (24558)Instructions burned: 2 (million)
% 0.15/0.38  % (24555)Terminated due to inappropriate strategy.
% 0.15/0.38  % (24555)------------------------------
% 0.15/0.38  % (24555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (24558)------------------------------
% 0.15/0.38  % (24558)------------------------------
% 0.15/0.38  % (24555)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (24555)Memory used [KB]: 720
% 0.15/0.38  % (24555)Time elapsed: 0.002 s
% 0.15/0.38  % (24555)Instructions burned: 2 (million)
% 0.15/0.38  % (24555)------------------------------
% 0.15/0.38  % (24555)------------------------------
% 0.15/0.38  % (24556)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (24556)Terminated due to inappropriate strategy.
% 0.15/0.38  % (24556)------------------------------
% 0.15/0.38  % (24556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (24556)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (24556)Memory used [KB]: 721
% 0.15/0.38  % (24556)Time elapsed: 0.002 s
% 0.15/0.38  % (24556)Instructions burned: 2 (million)
% 0.15/0.38  % (24556)------------------------------
% 0.15/0.38  % (24556)------------------------------
% 0.15/0.39  % (24560)First to succeed.
% 0.15/0.39  % (24557)Also succeeded, but the first one will report.
% 0.15/0.39  % (24560)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (24560)------------------------------
% 0.15/0.39  % (24560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (24560)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (24560)Memory used [KB]: 930
% 0.15/0.39  % (24560)Time elapsed: 0.014 s
% 0.15/0.39  % (24560)Instructions burned: 19 (million)
% 0.15/0.39  % (24560)------------------------------
% 0.15/0.39  % (24560)------------------------------
% 0.15/0.39  % (24554)Success in time 0.028 s
%------------------------------------------------------------------------------