TSTP Solution File: NUM854+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 14:37:55 EDT 2024

% Result   : Theorem 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f355,plain,
    $false,
    inference(resolution,[],[f337,f76]) ).

fof(f76,plain,
    greater(vd508,vd509),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    greater(vd508,vd509),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).

fof(f337,plain,
    ~ greater(vd508,vd509),
    inference(resolution,[],[f101,f75]) ).

fof(f75,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( greater(X1,X2)
     => greater(vmul(X1,X0),vmul(X2,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X9,X14,X15] :
      ( greater(X14,X15)
     => greater(vmul(X14,X9),vmul(X15,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Apr 29 23:48:12 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  % (13323)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (13326)WARNING: value z3 for option sas not known
% 0.12/0.34  % (13329)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)
% 0.12/0.34  % (13328)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)
% 0.12/0.34  % (13326)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)
% 0.12/0.34  % (13330)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)
% 0.12/0.34  % (13327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34  TRYING [1]
% 0.12/0.34  TRYING [2]
% 0.12/0.35  TRYING [3]
% 0.12/0.35  % (13329)First to succeed.
% 0.12/0.35  % (13328)Also succeeded, but the first one will report.
% 0.12/0.35  % (13326)Also succeeded, but the first one will report.
% 0.12/0.35  % (13329)Refutation found. Thanks to Tanya!
% 0.12/0.35  % SZS status Theorem for theBenchmark
% 0.12/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35  % (13329)------------------------------
% 0.12/0.35  % (13329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.35  % (13329)Termination reason: Refutation
% 0.12/0.35  
% 0.12/0.35  % (13329)Memory used [KB]: 910
% 0.12/0.35  % (13329)Time elapsed: 0.009 s
% 0.12/0.35  % (13329)Instructions burned: 14 (million)
% 0.12/0.35  % (13329)------------------------------
% 0.12/0.35  % (13329)------------------------------
% 0.12/0.35  % (13323)Success in time 0.022 s
%------------------------------------------------------------------------------