TSTP Solution File: NUM625+3 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 14:36:38 EDT 2024

% Result   : ContradictoryAxioms 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   18 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   13 (   4   ~;   1   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1378,plain,
    $false,
    inference(subsumption_resolution,[],[f909,f1373]) ).

fof(f1373,plain,
    xp != szmzizndt0(xQ),
    inference(forward_demodulation,[],[f771,f763]) ).

fof(f763,plain,
    xp = xx,
    inference(cnf_transformation,[],[f120]) ).

fof(f120,axiom,
    xp = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).

fof(f771,plain,
    szmzizndt0(xQ) != xx,
    inference(cnf_transformation,[],[f113]) ).

fof(f113,axiom,
    ( aElementOf0(xx,xP)
    & szmzizndt0(xQ) != xx
    & aElementOf0(xx,xQ)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).

fof(f909,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( xp = szmzizndt0(xQ)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ~ aElementOf0(X0,xQ) )
    & aElementOf0(xp,xQ) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,axiom,
    ( xp = szmzizndt0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(xp,X0) )
    & aElementOf0(xp,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 23:46:14 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (24107)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (24110)WARNING: value z3 for option sas not known
% 0.22/0.38  % (24108)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (24110)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)
% 0.22/0.38  % (24111)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (24109)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (24112)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)
% 0.22/0.38  % (24113)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)
% 0.22/0.38  % (24114)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)
% 0.22/0.40  % (24114)First to succeed.
% 0.22/0.40  % (24114)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status ContradictoryAxioms for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (24114)------------------------------
% 0.22/0.40  % (24114)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (24114)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (24114)Memory used [KB]: 1695
% 0.22/0.40  % (24114)Time elapsed: 0.019 s
% 0.22/0.40  % (24114)Instructions burned: 35 (million)
% 0.22/0.40  % (24114)------------------------------
% 0.22/0.40  % (24114)------------------------------
% 0.22/0.40  % (24107)Success in time 0.044 s
%------------------------------------------------------------------------------