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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 : n008.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 17:20:37 EDT 2023

% Result   : Unsatisfiable 0.22s 0.42s
% 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 :   12 (   7   ~;   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   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,plain,
    $false,
    inference(subsumption_resolution,[],[f23,f8]) ).

fof(f8,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,[],[f4,f2]) ).

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/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_conjecture_1) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),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/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_PropLog_Odeduction_0) ).

fof(f23,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(subsumption_resolution,[],[f22,f3]) ).

fof(f3,axiom,
    ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_conjecture_2) ).

fof(f22,plain,
    ( c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ 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,[],[f17,f5]) ).

fof(f5,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(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_PropLog_Othms_OMP_0) ).

fof(f17,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,[],[f12,f7]) ).

fof(f7,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,[],[f4,f1]) ).

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/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_conjecture_0) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X2,X1),c_PropLog_Othms(X3,X1),tc_PropLog_Opl(X1))
      | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),X2,X1),X2,X1),c_PropLog_Othms(X3,X1),tc_PropLog_Opl(X1)) ),
    inference(resolution,[],[f5,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/sandbox2/tmp/tmp.BDitzlHQlm/Vampire---4.8_21014',cls_PropLog_Othms__excluded__middle_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL445-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 30 14:47:32 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.42  % (21343)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (21358)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  % (21359)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42  % (21360)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42  % (21361)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42  TRYING [2]
% 0.22/0.42  % (21363)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.42  % (21362)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.42  % (21364)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42  % (21362)First to succeed.
% 0.22/0.42  TRYING [3]
% 0.22/0.42  Detected minimum model sizes of [1,1]
% 0.22/0.42  Detected maximum model sizes of [max,1]
% 0.22/0.42  TRYING [1,1]
% 0.22/0.42  Detected minimum model sizes of [1,1]
% 0.22/0.42  Detected maximum model sizes of [max,1]
% 0.22/0.42  TRYING [1,1]
% 0.22/0.42  % (21363)Also succeeded, but the first one will report.
% 0.22/0.42  TRYING [2,1]
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2,1]
% 0.22/0.42  TRYING [2]
% 0.22/0.42  % (21360)Also succeeded, but the first one will report.
% 0.22/0.42  % (21362)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42  % (21362)------------------------------
% 0.22/0.42  % (21362)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (21362)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (21362)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (21362)Memory used [KB]: 895
% 0.22/0.42  % (21362)Time elapsed: 0.003 s
% 0.22/0.42  % (21362)------------------------------
% 0.22/0.42  % (21362)------------------------------
% 0.22/0.42  % (21343)Success in time 0.061 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------