TSTP Solution File: NUM838+2 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 18:06:55 EDT 2022

% Result   : Theorem 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   23 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f251,plain,
    $false,
    inference(subsumption_resolution,[],[f250,f152]) ).

fof(f152,plain,
    ~ greater(sF4,sF5),
    inference(definition_folding,[],[f133,f151,f150]) ).

fof(f150,plain,
    vplus(vd301,vd303) = sF4,
    introduced(function_definition,[]) ).

fof(f151,plain,
    vplus(vd302,vd303) = sF5,
    introduced(function_definition,[]) ).

fof(f133,plain,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).

fof(f250,plain,
    greater(sF4,sF5),
    inference(forward_demodulation,[],[f244,f150]) ).

fof(f244,plain,
    greater(vplus(vd301,vd303),sF5),
    inference(superposition,[],[f167,f151]) ).

fof(f167,plain,
    ! [X0] : greater(vplus(vd301,X0),vplus(vd302,X0)),
    inference(resolution,[],[f116,f117]) ).

fof(f117,plain,
    greater(vd301,vd302),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X2,X1)
      | greater(vplus(X2,X0),vplus(X1,X0)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X2,X1)
      | greater(vplus(X2,X0),vplus(X1,X0)) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0,X2] :
      ( ~ greater(X2,X0)
      | greater(vplus(X2,X1),vplus(X0,X1)) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X2,X1,X0] :
      ( greater(X2,X0)
     => greater(vplus(X2,X1),vplus(X0,X1)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X6,X0,X5] :
      ( greater(X5,X6)
     => greater(vplus(X5,X0),vplus(X6,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 09:04:40 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.48  % (8567)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49  % (8577)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.49  % (8568)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50  % (8557)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50  % (8560)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51  % (8557)First to succeed.
% 0.17/0.51  % (8562)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (8556)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52  % (8557)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Theorem for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (8557)------------------------------
% 0.17/0.52  % (8557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (8557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (8557)Termination reason: Refutation
% 0.17/0.52  
% 0.17/0.52  % (8557)Memory used [KB]: 5500
% 0.17/0.52  % (8557)Time elapsed: 0.115 s
% 0.17/0.52  % (8557)Instructions burned: 7 (million)
% 0.17/0.52  % (8557)------------------------------
% 0.17/0.52  % (8557)------------------------------
% 0.17/0.52  % (8552)Success in time 0.185 s
%------------------------------------------------------------------------------