TSTP Solution File: ROB009-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n004.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 : Thu Aug 31 14:09:16 EDT 2023

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f548,plain,
    $false,
    inference(subsumption_resolution,[],[f547,f5]) ).

fof(f5,axiom,
    a != b,
    file('/export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564',prove_result) ).

fof(f547,plain,
    a = b,
    inference(forward_demodulation,[],[f546,f324]) ).

fof(f324,plain,
    ! [X10,X11,X12] : negate(add(negate(add(X11,add(X10,X12))),negate(add(X10,negate(add(X11,X12)))))) = X10,
    inference(superposition,[],[f3,f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(forward_demodulation,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564',associativity_of_add) ).

fof(f6,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
    inference(superposition,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564',commutativity_of_add) ).

fof(f3,axiom,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564',robbins_axiom) ).

fof(f546,plain,
    b = negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c)))))),
    inference(forward_demodulation,[],[f536,f1]) ).

fof(f536,plain,
    b = negate(add(negate(add(add(a,c),b)),negate(add(a,negate(add(b,c)))))),
    inference(superposition,[],[f320,f4]) ).

fof(f4,axiom,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    file('/export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564',condition) ).

fof(f320,plain,
    ! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X0,negate(X1))))) = X0,
    inference(superposition,[],[f3,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n004.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 Aug 28 06:45:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GW5CZrjhz9/Vampire---4.8_16564
% 0.14/0.36  % (16979)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41  % (17003)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.14/0.42  % (16995)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.14/0.42  % (16990)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.14/0.42  % (17001)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.14/0.42  % (16991)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.44  % (17001)First to succeed.
% 0.21/0.44  % (17001)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44  % (17001)------------------------------
% 0.21/0.44  % (17001)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44  % (17001)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44  % (17001)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (17001)Memory used [KB]: 1407
% 0.21/0.44  % (17001)Time elapsed: 0.022 s
% 0.21/0.44  % (17001)------------------------------
% 0.21/0.44  % (17001)------------------------------
% 0.21/0.44  % (16979)Success in time 0.08 s
% 0.21/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------