TSTP Solution File: LCL434-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL434-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 : Wed Aug 31 17:42:30 EDT 2022

% Result   : Unsatisfiable 1.16s 0.52s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   33 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1412,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1395,f1400,f1411]) ).

fof(f1411,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1409,f1390]) ).

fof(f1390,plain,
    ( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1388,plain,
    ( spl0_1
  <=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1409,plain,
    ~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1403,f10]) ).

fof(f10,axiom,
    ! [X1,X8,X7] :
      ( c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,X8,tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f1403,plain,
    ~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1373,f1375]) ).

fof(f1375,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1373,axiom,
    ! [X59,X1,X8,X7] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

fof(f1400,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1397,f1372]) ).

fof(f1372,axiom,
    ! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

fof(f1397,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ spl0_2 ),
    inference(superposition,[],[f1375,f1394]) ).

fof(f1394,plain,
    ( v_pa = v_p
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f1392,plain,
    ( spl0_2
  <=> v_pa = v_p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1395,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1383,f1392,f1388]) ).

fof(f1383,plain,
    ( v_pa = v_p
    | c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f187,f1374]) ).

fof(f1374,axiom,
    c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f187,axiom,
    ! [X1,X19,X4,X12] :
      ( ~ c_in(X4,c_insert(X12,X19,X1),X1)
      | c_in(X4,X19,X1)
      | X4 = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LCL434-1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 02:09:29 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.18/0.51  % (13658)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.16/0.51  % (13660)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.16/0.51  % (13654)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.16/0.51  % (13675)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.16/0.51  % (13661)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.16/0.52  % (13679)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.16/0.52  % (13658)First to succeed.
% 1.16/0.52  % (13671)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.16/0.52  % (13658)Refutation found. Thanks to Tanya!
% 1.16/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.16/0.52  % (13658)------------------------------
% 1.16/0.52  % (13658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.16/0.52  % (13658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.16/0.52  % (13658)Termination reason: Refutation
% 1.16/0.52  
% 1.16/0.52  % (13658)Memory used [KB]: 6908
% 1.16/0.52  % (13658)Time elapsed: 0.113 s
% 1.16/0.52  % (13658)Instructions burned: 6 (million)
% 1.16/0.52  % (13658)------------------------------
% 1.16/0.52  % (13658)------------------------------
% 1.16/0.52  % (13641)Success in time 0.189 s
%------------------------------------------------------------------------------