TSTP Solution File: SET864-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET864-2 : 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_sat --cores 0 -t %d %s

% Computer : n018.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 18:25:58 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   22 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f3]) ).

fof(f3,axiom,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f14,plain,
    ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(resolution,[],[f13,f4]) ).

fof(f4,axiom,
    ! [X4] :
      ( c_in(v_x(X4),v_S,tc_set(t_a))
      | ~ c_in(X4,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f13,plain,
    ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
    inference(subsumption_resolution,[],[f12,f7]) ).

fof(f7,plain,
    c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
    inference(resolution,[],[f6,f3]) ).

fof(f6,axiom,
    ! [X4] :
      ( ~ c_in(X4,v_S,tc_set(t_a))
      | v_x(X4) != X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f12,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
    inference(resolution,[],[f11,f9]) ).

fof(f9,plain,
    c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
    inference(resolution,[],[f5,f3]) ).

fof(f5,axiom,
    ! [X4] :
      ( ~ c_in(X4,v_S,tc_set(t_a))
      | c_lessequals(X4,v_x(X4),tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f11,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
      | c_Union(v_c,t_a) = X0
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,X1,tc_set(X2))
      | ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
      | c_Union(X3,X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:30:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (18365)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (18342)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (18364)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  TRYING [4]
% 0.20/0.51  % (18354)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (18348)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  TRYING [5]
% 0.20/0.52  % (18343)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (18356)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (18344)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (18344)First to succeed.
% 0.20/0.52  % (18343)Refutation not found, incomplete strategy% (18343)------------------------------
% 0.20/0.52  % (18343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18343)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (18343)Memory used [KB]: 5373
% 0.20/0.52  % (18343)Time elapsed: 0.108 s
% 0.20/0.52  % (18343)Instructions burned: 2 (million)
% 0.20/0.52  % (18343)------------------------------
% 0.20/0.52  % (18343)------------------------------
% 0.20/0.53  % (18356)Also succeeded, but the first one will report.
% 0.20/0.53  % (18347)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (18344)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (18344)------------------------------
% 0.20/0.53  % (18344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18344)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (18344)Memory used [KB]: 895
% 0.20/0.53  % (18344)Time elapsed: 0.117 s
% 0.20/0.53  % (18344)Instructions burned: 2 (million)
% 0.20/0.53  % (18344)------------------------------
% 0.20/0.53  % (18344)------------------------------
% 0.20/0.53  % (18340)Success in time 0.173 s
%------------------------------------------------------------------------------