TSTP Solution File: SWV251-2 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV251-2 : 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 : 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 18:55:59 EDT 2022

% Result   : Unsatisfiable 1.39s 0.52s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   39 (  24 unt;   0 def)
%            Number of atoms       :   56 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  17   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(avatar_sat_refutation,[],[f91,f288,f300]) ).

fof(f300,plain,
    ~ spl6_11,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | ~ spl6_11 ),
    inference(subsumption_resolution,[],[f298,f19]) ).

fof(f19,plain,
    ~ c_in(v_x,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f13,f18,f17,f15,f14]) ).

fof(f14,plain,
    c_Message_Oanalz(v_G) = sF0,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Osynth(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f17,plain,
    c_union(sF1,v_H,tc_Message_Omsg) = sF2,
    introduced(function_definition,[]) ).

fof(f18,plain,
    c_Message_Oanalz(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f13,axiom,
    ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f298,plain,
    ( c_in(v_x,sF3,tc_Message_Omsg)
    | ~ spl6_11 ),
    inference(resolution,[],[f290,f22]) ).

fof(f22,plain,
    c_in(v_x,sF5,tc_Message_Omsg),
    inference(definition_folding,[],[f12,f21,f20]) ).

fof(f20,plain,
    c_insert(v_X,v_H,tc_Message_Omsg) = sF4,
    introduced(function_definition,[]) ).

fof(f21,plain,
    c_Message_Oanalz(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f12,axiom,
    c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f290,plain,
    ( ! [X0] :
        ( ~ c_in(X0,sF5,tc_Message_Omsg)
        | c_in(X0,sF3,tc_Message_Omsg) )
    | ~ spl6_11 ),
    inference(resolution,[],[f86,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X7,X4] :
      ( ~ c_lessequals(X3,X2,tc_set(X4))
      | c_in(X7,X2,X4)
      | ~ c_in(X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f86,plain,
    ( c_lessequals(sF5,sF3,tc_set(tc_Message_Omsg))
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl6_11
  <=> c_lessequals(sF5,sF3,tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f288,plain,
    spl6_12,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl6_12 ),
    inference(subsumption_resolution,[],[f280,f90]) ).

fof(f90,plain,
    ( ~ c_lessequals(sF4,sF2,tc_set(tc_Message_Omsg))
    | spl6_12 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl6_12
  <=> c_lessequals(sF4,sF2,tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f280,plain,
    c_lessequals(sF4,sF2,tc_set(tc_Message_Omsg)),
    inference(superposition,[],[f96,f274]) ).

fof(f274,plain,
    c_union(sF1,sF4,tc_Message_Omsg) = sF2,
    inference(forward_demodulation,[],[f273,f17]) ).

fof(f273,plain,
    c_union(sF1,v_H,tc_Message_Omsg) = c_union(sF1,sF4,tc_Message_Omsg),
    inference(forward_demodulation,[],[f271,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X4] : c_union(X3,c_minus(X2,X3,tc_set(X4)),X4) = c_union(X3,X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).

fof(f271,plain,
    c_union(sF1,sF4,tc_Message_Omsg) = c_union(sF1,c_minus(v_H,sF1,tc_set(tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f3,f262]) ).

fof(f262,plain,
    c_minus(v_H,sF1,tc_set(tc_Message_Omsg)) = c_minus(sF4,sF1,tc_set(tc_Message_Omsg)),
    inference(superposition,[],[f162,f20]) ).

fof(f162,plain,
    ! [X0] : c_minus(X0,sF1,tc_set(tc_Message_Omsg)) = c_minus(c_insert(v_X,X0,tc_Message_Omsg),sF1,tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f7,f16]) ).

fof(f16,plain,
    c_in(v_X,sF1,tc_Message_Omsg),
    inference(definition_folding,[],[f11,f15,f14]) ).

fof(f11,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f7,axiom,
    ! [X2,X3,X6,X4] :
      ( ~ c_in(X6,X2,X4)
      | c_minus(c_insert(X6,X3,X4),X2,tc_set(X4)) = c_minus(X3,X2,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).

fof(f96,plain,
    ! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    inference(resolution,[],[f5,f10]) ).

fof(f10,axiom,
    ! [X3,X4] : c_lessequals(X3,X3,tc_set(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(c_union(X3,X2,X4),X5,tc_set(X4))
      | c_lessequals(X2,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).

fof(f91,plain,
    ( spl6_11
    | ~ spl6_12 ),
    inference(avatar_split_clause,[],[f72,f88,f84]) ).

fof(f72,plain,
    ( ~ c_lessequals(sF4,sF2,tc_set(tc_Message_Omsg))
    | c_lessequals(sF5,sF3,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[],[f25,f18]) ).

fof(f25,plain,
    ! [X2] :
      ( c_lessequals(sF5,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(sF4,X2,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[],[f1,f21]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 19:18:30 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.50  % (25693)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (25685)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (25674)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)
% 0.20/0.51  % (25677)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)
% 0.20/0.51  % (25688)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (25673)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)
% 0.20/0.51  % (25697)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (25673)Refutation not found, incomplete strategy% (25673)------------------------------
% 0.20/0.51  % (25673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25673)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (25673)Memory used [KB]: 5373
% 0.20/0.51  % (25673)Time elapsed: 0.113 s
% 0.20/0.51  % (25673)Instructions burned: 1 (million)
% 0.20/0.51  % (25673)------------------------------
% 0.20/0.51  % (25673)------------------------------
% 0.20/0.51  % (25675)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (25684)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  % (25685)First to succeed.
% 1.39/0.52  % (25699)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)
% 1.39/0.52  % (25680)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.52  % (25701)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.39/0.52  % (25676)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.52  % (25680)Instruction limit reached!
% 1.39/0.52  % (25680)------------------------------
% 1.39/0.52  % (25680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.52  % (25680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.52  % (25680)Termination reason: Unknown
% 1.39/0.52  % (25680)Termination phase: Saturation
% 1.39/0.52  
% 1.39/0.52  % (25680)Memory used [KB]: 5373
% 1.39/0.52  % (25680)Time elapsed: 0.127 s
% 1.39/0.52  % (25680)Instructions burned: 3 (million)
% 1.39/0.52  % (25680)------------------------------
% 1.39/0.52  % (25680)------------------------------
% 1.39/0.52  % (25698)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)
% 1.39/0.52  % (25685)Refutation found. Thanks to Tanya!
% 1.39/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.39/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.52  % (25685)------------------------------
% 1.39/0.52  % (25685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.52  % (25685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.52  % (25685)Termination reason: Refutation
% 1.39/0.52  
% 1.39/0.52  % (25685)Memory used [KB]: 5628
% 1.39/0.52  % (25685)Time elapsed: 0.121 s
% 1.39/0.52  % (25685)Instructions burned: 13 (million)
% 1.39/0.52  % (25685)------------------------------
% 1.39/0.52  % (25685)------------------------------
% 1.39/0.52  % (25671)Success in time 0.18 s
%------------------------------------------------------------------------------