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

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%------------------------------------------------------------------------------
% File     : Vampire---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 : n003.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 01:29:40 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            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 :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f213,plain,
    $false,
    inference(subsumption_resolution,[],[f212,f209]) ).

fof(f209,plain,
    ! [X21,X20] : mult(mult(X20,X20),X21) = mult(X20,mult(X20,X21)),
    inference(forward_demodulation,[],[f179,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.8GyWN7sKVL/Vampire---4.8_21124',c06) ).

fof(f179,plain,
    ! [X21,X20] : mult(X20,mult(unit,mult(X20,X21))) = mult(mult(X20,X20),X21),
    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.8GyWN7sKVL/Vampire---4.8_21124',c07) ).

fof(f212,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(op_c,mult(a,b))),
    inference(forward_demodulation,[],[f211,f123]) ).

fof(f123,plain,
    ! [X2,X3,X4] : mult(op_c,mult(X4,mult(X2,X3))) = mult(X4,mult(X2,mult(op_c,X3))),
    inference(superposition,[],[f53,f53]) ).

fof(f53,plain,
    ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0)),
    inference(superposition,[],[f11,f8]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/tmp/tmp.8GyWN7sKVL/Vampire---4.8_21124',c08) ).

fof(f11,plain,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
    inference(forward_demodulation,[],[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.8GyWN7sKVL/Vampire---4.8_21124',c09) ).

fof(f211,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(op_c,mult(a,mult(op_c,b))),
    inference(forward_demodulation,[],[f210,f176]) ).

fof(f176,plain,
    ! [X11,X12] : mult(op_c,mult(X11,mult(op_c,X12))) = mult(mult(op_c,mult(op_c,X11)),X12),
    inference(superposition,[],[f7,f8]) ).

fof(f210,plain,
    mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
    inference(backward_demodulation,[],[f10,f209]) ).

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.8GyWN7sKVL/Vampire---4.8_21124',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 23:34:10 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.8GyWN7sKVL/Vampire---4.8_21124
% 0.22/0.36  % (21237)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (21241)ott+10_5:4_av=off:bd=off:drc=off:fde=unused:sims=off_758 on Vampire---4 for (758ds/0Mi)
% 0.22/0.42  % (21239)lrs+10_15_av=off:bd=preordered:drc=off:nwc=1.1:sp=reverse_frequency:tgt=ground:stl=188_1140 on Vampire---4 for (1140ds/0Mi)
% 0.22/0.42  % (21240)dis+10_6_av=off:bd=off:drc=off:fde=none:nwc=1.2:sims=off:tgt=full_978 on Vampire---4 for (978ds/0Mi)
% 0.22/0.42  % (21242)ott+10_2:7_av=off:bd=preordered:drc=off:fde=unused:nwc=1.1:sims=off_611 on Vampire---4 for (611ds/0Mi)
% 0.22/0.42  % (21243)ott+10_4:1_av=off:drc=off:sos=on:tgt=ground_592 on Vampire---4 for (592ds/0Mi)
% 0.22/0.42  % (21238)ott+10_16_av=off:drc=off:fde=none:nwc=1.7:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42  % (21244)ott+10_4:5_av=off:bd=preordered:drc=off:fde=unused:nwc=1.3:sims=off:sp=scramble:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42  % (21243)Refutation not found, incomplete strategy% (21243)------------------------------
% 0.22/0.42  % (21243)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (21243)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (21243)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  % (21243)Memory used [KB]: 895
% 0.22/0.42  % (21243)Time elapsed: 0.003 s
% 0.22/0.42  % (21243)------------------------------
% 0.22/0.42  % (21243)------------------------------
% 0.22/0.43  % (21242)First to succeed.
% 0.22/0.43  % (21242)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (21242)------------------------------
% 0.22/0.43  % (21242)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (21242)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (21242)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (21242)Memory used [KB]: 1151
% 0.22/0.43  % (21242)Time elapsed: 0.010 s
% 0.22/0.43  % (21242)------------------------------
% 0.22/0.43  % (21242)------------------------------
% 0.22/0.43  % (21237)Success in time 0.068 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------