TSTP Solution File: GRP704-12 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% 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 : n021.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 01:29:39 EDT 2023

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f182,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f42]) ).

fof(f42,plain,
    ! [X0,X1] : mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1),
    inference(backward_demodulation,[],[f10,f40]) ).

fof(f40,plain,
    op_c = op_d,
    inference(forward_demodulation,[],[f33,f15]) ).

fof(f15,plain,
    ! [X2] : ld(unit,X2) = X2,
    inference(superposition,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f06) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f01) ).

fof(f33,plain,
    op_d = ld(unit,op_c),
    inference(superposition,[],[f11,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f05) ).

fof(f11,axiom,
    ! [X0] : op_d = ld(X0,mult(op_c,X0)),
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f11) ).

fof(f10,axiom,
    ! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f10) ).

fof(f179,plain,
    mult(x4,mult(op_d,x5)) != mult(mult(x4,op_d),x5),
    inference(backward_demodulation,[],[f14,f175]) ).

fof(f175,plain,
    op_d = op_f,
    inference(forward_demodulation,[],[f174,f1]) ).

fof(f174,plain,
    ! [X4] : op_f = mult(X4,ld(X4,op_d)),
    inference(forward_demodulation,[],[f152,f6]) ).

fof(f152,plain,
    ! [X4] : op_f = mult(X4,mult(unit,ld(X4,op_d))),
    inference(superposition,[],[f44,f5]) ).

fof(f44,plain,
    ! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_d))),
    inference(backward_demodulation,[],[f13,f40]) ).

fof(f13,axiom,
    ! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',f13) ).

fof(f14,axiom,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
    file('/export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% 0.15/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 29 00:04:29 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.tCNdF4DkuN/Vampire---4.8_24532
% 0.15/0.38  % (24797)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (24800)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.44  % (24801)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.44  % (24802)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.22/0.44  % (24803)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.22/0.44  % (24798)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.44  % (24799)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.44  % (24798)First to succeed.
% 0.22/0.45  % (24798)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45  % (24798)------------------------------
% 0.22/0.45  % (24798)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45  % (24798)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45  % (24798)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (24798)Memory used [KB]: 1023
% 0.22/0.45  % (24798)Time elapsed: 0.009 s
% 0.22/0.45  % (24798)------------------------------
% 0.22/0.45  % (24798)------------------------------
% 0.22/0.45  % (24797)Success in time 0.069 s
% 0.22/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------