TSTP Solution File: LCL134-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL134-1 : 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 : n005.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 08:22:01 EDT 2023

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f243,plain,
    $false,
    inference(trivial_inequality_removal,[],[f230]) ).

fof(f230,plain,
    truth != truth,
    inference(backward_demodulation,[],[f5,f202]) ).

fof(f202,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f81,f161]) ).

fof(f161,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f6,f151]) ).

fof(f151,plain,
    ! [X2] : truth = implies(X2,X2),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.N8A37MsuqE/Vampire---4.8_28674',wajsberg_1) ).

fof(f128,plain,
    ! [X2] : truth = implies(truth,implies(X2,X2)),
    inference(superposition,[],[f81,f1]) ).

fof(f6,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.N8A37MsuqE/Vampire---4.8_28674',wajsberg_3) ).

fof(f81,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox2/tmp/tmp.N8A37MsuqE/Vampire---4.8_28674',wajsberg_2) ).

fof(f5,axiom,
    truth != implies(x,truth),
    file('/export/starexec/sandbox2/tmp/tmp.N8A37MsuqE/Vampire---4.8_28674',prove_wajsberg_lemma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LCL134-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n005.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   : Thu Aug 24 19:33:23 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.N8A37MsuqE/Vampire---4.8_28674
% 0.14/0.36  % (28837)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (28841)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42  % (28843)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.42  % (28842)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.42  % (28845)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.42  % (28839)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (28844)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)
% 0.21/0.42  % (28840)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)
% 0.21/0.42  % (28844)First to succeed.
% 0.21/0.42  % (28842)Also succeeded, but the first one will report.
% 0.21/0.43  % (28843)Also succeeded, but the first one will report.
% 0.21/0.43  % (28844)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (28844)------------------------------
% 0.21/0.43  % (28844)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (28844)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (28844)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (28844)Memory used [KB]: 1023
% 0.21/0.43  % (28844)Time elapsed: 0.009 s
% 0.21/0.43  % (28844)------------------------------
% 0.21/0.43  % (28844)------------------------------
% 0.21/0.43  % (28837)Success in time 0.069 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------