TSTP Solution File: GRP709-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n015.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 : Fri Sep  1 15:57:26 EDT 2023

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f490,plain,
    $false,
    inference(trivial_inequality_removal,[],[f468]) ).

fof(f468,plain,
    mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(op_c,mult(a,b))),
    inference(superposition,[],[f320,f317]) ).

fof(f317,plain,
    ! [X28,X27] : mult(mult(X27,X27),X28) = mult(X27,mult(X27,X28)),
    inference(forward_demodulation,[],[f277,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.LfOVtWsGgC/Vampire---4.8_32244',c06) ).

fof(f277,plain,
    ! [X28,X27] : mult(X27,mult(unit,mult(X27,X28))) = mult(mult(X27,X27),X28),
    inference(superposition,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox/tmp/tmp.LfOVtWsGgC/Vampire---4.8_32244',c07) ).

fof(f320,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(op_c,mult(a,b))),
    inference(forward_demodulation,[],[f319,f155]) ).

fof(f155,plain,
    ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0)),
    inference(superposition,[],[f107,f8]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/tmp/tmp.LfOVtWsGgC/Vampire---4.8_32244',c08) ).

fof(f107,plain,
    ! [X2,X3] : mult(op_c,mult(X2,X3)) = mult(X2,mult(X3,op_c)),
    inference(superposition,[],[f9,f8]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
    file('/export/starexec/sandbox/tmp/tmp.LfOVtWsGgC/Vampire---4.8_32244',c09) ).

fof(f319,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(a,mult(op_c,b))),
    inference(forward_demodulation,[],[f318,f270]) ).

fof(f270,plain,
    ! [X8,X9] : mult(op_c,mult(X8,mult(op_c,X9))) = mult(mult(op_c,mult(op_c,X8)),X9),
    inference(superposition,[],[f7,f8]) ).

fof(f318,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
    inference(backward_demodulation,[],[f10,f317]) ).

fof(f10,axiom,
    mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
    file('/export/starexec/sandbox/tmp/tmp.LfOVtWsGgC/Vampire---4.8_32244',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n015.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   : Wed Aug 30 17:43:42 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (32351)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32353)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42  % (32352)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42  % (32355)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42  % (32354)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.42  % (32356)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.42  % (32357)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.42  % (32358)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [4]
% 0.22/0.43  TRYING [4]
% 0.22/0.43  TRYING [3]
% 0.22/0.44  % (32357)First to succeed.
% 0.22/0.44  % (32357)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44  % (32357)------------------------------
% 0.22/0.44  % (32357)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (32357)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (32357)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (32357)Memory used [KB]: 1407
% 0.22/0.44  % (32357)Time elapsed: 0.021 s
% 0.22/0.44  % (32357)------------------------------
% 0.22/0.44  % (32357)------------------------------
% 0.22/0.44  % (32351)Success in time 0.079 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------