TSTP Solution File: SWV246-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV246-2 : 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 : n010.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 18:55:57 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  11   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   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   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(resolution,[],[f36,f10]) ).

fof(f10,plain,
    ~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f7,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f36,plain,
    ! [X0] : c_in(v_Y,c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f23,f27]) ).

fof(f27,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f25,f9]) ).

fof(f9,plain,
    ~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f6,f2]) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f25,plain,
    ( c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).

fof(f19,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f18,f10]) ).

fof(f18,plain,
    ( c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f12,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f8,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_union(X6,X4,X5),X5)
      | c_in(X3,X4,X5)
      | c_in(X3,X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f23,plain,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X6,X3),X4,tc_Message_Omsg)
      | c_in(X3,c_Message_Oanalz(c_union(X4,X5,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f11,f7]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X2,X0] :
      ( c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(X0,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV246-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 19:01:28 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (20970)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47  % (20965)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)
% 0.15/0.47  % (20986)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.47  % (20976)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.47  % (20978)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47  % (20968)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47  % (20973)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)
% 0.15/0.47  % (20978)First to succeed.
% 0.15/0.47  TRYING [1]
% 0.15/0.47  TRYING [1]
% 0.15/0.47  TRYING [2]
% 0.15/0.48  TRYING [3]
% 0.15/0.48  TRYING [4]
% 0.15/0.48  % (20981)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)
% 0.15/0.48  TRYING [2]
% 0.15/0.48  % (20978)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (20978)------------------------------
% 0.15/0.48  % (20978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (20978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (20978)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (20978)Memory used [KB]: 895
% 0.15/0.48  % (20978)Time elapsed: 0.106 s
% 0.15/0.48  % (20978)Instructions burned: 3 (million)
% 0.15/0.48  % (20978)------------------------------
% 0.15/0.48  % (20978)------------------------------
% 0.15/0.48  % (20958)Success in time 0.166 s
%------------------------------------------------------------------------------