TSTP Solution File: LCL445-2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n014.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 08:23:45 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(resolution,[],[f34,f12]) ).

fof(f12,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f2,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_PropLog_Odeduction_0) ).

fof(f2,axiom,
    c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_conjecture_1) ).

fof(f34,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f31,f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_PropLog_Othms_OMP_0) ).

fof(f3,axiom,
    ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_conjecture_2) ).

fof(f31,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X0,X3),X0,X3),X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_PropLog_Othms__excluded__middle_0) ).

fof(f11,plain,
    ! [X0] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
      | c_in(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f8,f5]) ).

fof(f8,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1,f4]) ).

fof(f1,axiom,
    c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n014.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 17:15:03 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.tBDTo1f4ty/Vampire---4.8_27336
% 0.14/0.36  % (27541)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (27542)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.42  % (27546)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42  % (27544)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42  % (27545)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.42  % (27547)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.42  % (27543)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42  % (27548)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42  % (27548)First to succeed.
% 0.22/0.42  % (27547)Also succeeded, but the first one will report.
% 0.22/0.43  % (27545)Also succeeded, but the first one will report.
% 0.22/0.43  % (27548)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  % (27548)------------------------------
% 0.22/0.43  % (27548)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (27548)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (27548)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (27548)Memory used [KB]: 895
% 0.22/0.43  % (27548)Time elapsed: 0.004 s
% 0.22/0.43  % (27548)------------------------------
% 0.22/0.43  % (27548)------------------------------
% 0.22/0.43  % (27541)Success in time 0.062 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------