TSTP Solution File: SYN673-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN673-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n012.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 19:39:14 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   56 (  19 unt;   0 def)
%            Number of atoms       :  117 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  117 (  56   ~;  58   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  20 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f645,plain,
    $false,
    inference(avatar_sat_refutation,[],[f299,f321,f328,f644]) ).

fof(f644,plain,
    ( ~ spl9_18
    | ~ spl9_19 ),
    inference(avatar_contradiction_clause,[],[f643]) ).

fof(f643,plain,
    ( $false
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(subsumption_resolution,[],[f635,f58]) ).

fof(f58,plain,
    ~ p29(sF1,c38),
    inference(definition_folding,[],[f17,f57,f56]) ).

fof(f56,plain,
    f8(c34,c30) = sF0,
    introduced(function_definition,[]) ).

fof(f57,plain,
    f5(c33,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f17,axiom,
    ~ p29(f5(c33,f8(c34,c30)),c38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p29_17) ).

fof(f635,plain,
    ( p29(sF1,c38)
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(resolution,[],[f630,f86]) ).

fof(f86,plain,
    p10(sF7,c38),
    inference(resolution,[],[f77,f68]) ).

fof(f68,plain,
    p10(c38,sF7),
    inference(definition_folding,[],[f41,f67,f66,f65,f61,f60]) ).

fof(f60,plain,
    f19(c35,c37) = sF2,
    introduced(function_definition,[]) ).

fof(f61,plain,
    f14(sF2,c39) = sF3,
    introduced(function_definition,[]) ).

fof(f65,plain,
    f19(c35,sF3) = sF5,
    introduced(function_definition,[]) ).

fof(f66,plain,
    f17(c36,c40) = sF6,
    introduced(function_definition,[]) ).

fof(f67,plain,
    f14(sF5,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f41,axiom,
    p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_41) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ p10(X0,X1)
      | p10(X1,X0) ),
    inference(resolution,[],[f22,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

fof(f22,axiom,
    ! [X0,X19,X20] :
      ( ~ p10(X0,X20)
      | ~ p10(X0,X19)
      | p10(X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).

fof(f630,plain,
    ( ! [X3] :
        ( ~ p10(sF7,X3)
        | p29(sF1,X3) )
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(resolution,[],[f625,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

fof(f625,plain,
    ( ! [X0,X1] :
        ( ~ p4(sF1,X1)
        | p29(X1,X0)
        | ~ p10(sF7,X0) )
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(resolution,[],[f623,f38]) ).

fof(f38,axiom,
    ! [X50,X51,X49,X52] :
      ( ~ p29(X51,X52)
      | ~ p10(X52,X50)
      | ~ p4(X51,X49)
      | p29(X49,X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_38) ).

fof(f623,plain,
    ( p29(sF1,sF7)
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(resolution,[],[f610,f18]) ).

fof(f18,axiom,
    ! [X16,X17] :
      ( ~ p27(f12(c32,X17),X16)
      | p29(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_18) ).

fof(f610,plain,
    ( p27(f12(c32,sF7),sF1)
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(forward_demodulation,[],[f609,f67]) ).

fof(f609,plain,
    ( p27(f12(c32,f14(sF5,sF6)),sF1)
    | ~ spl9_18
    | ~ spl9_19 ),
    inference(subsumption_resolution,[],[f607,f302]) ).

fof(f302,plain,
    ( p28(f21(c30,c40),c31)
    | ~ spl9_19 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl9_19
  <=> p28(f21(c30,c40),c31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).

fof(f607,plain,
    ( p27(f12(c32,f14(sF5,sF6)),sF1)
    | ~ p28(f21(c30,c40),c31)
    | ~ spl9_18 ),
    inference(superposition,[],[f298,f66]) ).

fof(f298,plain,
    ( ! [X1] :
        ( p27(f12(c32,f14(sF5,f17(c36,X1))),sF1)
        | ~ p28(f21(c30,X1),c31) )
    | ~ spl9_18 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl9_18
  <=> ! [X1] :
        ( p27(f12(c32,f14(sF5,f17(c36,X1))),sF1)
        | ~ p28(f21(c30,X1),c31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).

fof(f328,plain,
    spl9_17,
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f327,plain,
    ( $false
    | spl9_17 ),
    inference(subsumption_resolution,[],[f324,f318]) ).

fof(f318,plain,
    ( ~ p29(sF1,sF3)
    | spl9_17 ),
    inference(resolution,[],[f295,f19]) ).

fof(f19,axiom,
    ! [X16,X17] :
      ( p27(f12(c32,X17),X16)
      | ~ p29(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_19) ).

fof(f295,plain,
    ( ~ p27(f12(c32,sF3),sF1)
    | spl9_17 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl9_17
  <=> p27(f12(c32,sF3),sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

fof(f324,plain,
    p29(sF1,sF3),
    inference(resolution,[],[f262,f1]) ).

fof(f262,plain,
    ! [X0] :
      ( ~ p10(X0,sF3)
      | p29(sF1,X0) ),
    inference(subsumption_resolution,[],[f260,f69]) ).

fof(f69,plain,
    ! [X101] :
      ( ~ p28(f21(c30,f26(c43,X101)),c31)
      | ~ p10(X101,sF3)
      | p29(sF1,X101) ),
    inference(definition_folding,[],[f53,f61,f60,f57,f56]) ).

fof(f53,axiom,
    ! [X101] :
      ( ~ p28(f21(c30,f26(c43,X101)),c31)
      | p29(f5(c33,f8(c34,c30)),X101)
      | ~ p10(X101,f14(f19(c35,c37),c39)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_53) ).

fof(f260,plain,
    ! [X0] :
      ( ~ p10(X0,sF3)
      | p28(f21(c30,f26(c43,X0)),c31)
      | p29(sF1,X0) ),
    inference(resolution,[],[f62,f37]) ).

fof(f37,axiom,
    ! [X18] :
      ( ~ p29(f24(c42,X18),c39)
      | p28(f21(c30,X18),c31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_37) ).

fof(f62,plain,
    ! [X101] :
      ( p29(f24(c42,f26(c43,X101)),c39)
      | ~ p10(X101,sF3)
      | p29(sF1,X101) ),
    inference(definition_folding,[],[f52,f57,f56,f61,f60]) ).

fof(f52,axiom,
    ! [X101] :
      ( p29(f24(c42,f26(c43,X101)),c39)
      | ~ p10(X101,f14(f19(c35,c37),c39))
      | p29(f5(c33,f8(c34,c30)),X101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).

fof(f321,plain,
    spl9_19,
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f320,plain,
    ( $false
    | spl9_19 ),
    inference(subsumption_resolution,[],[f319,f12]) ).

fof(f12,axiom,
    ! [X11] : p16(X11,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_12) ).

fof(f319,plain,
    ( ~ p16(c40,c40)
    | spl9_19 ),
    inference(resolution,[],[f303,f20]) ).

fof(f20,axiom,
    ! [X18] :
      ( p28(f21(c30,X18),c31)
      | ~ p16(X18,c40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_20) ).

fof(f303,plain,
    ( ~ p28(f21(c30,c40),c31)
    | spl9_19 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f299,plain,
    ( ~ spl9_17
    | spl9_18 ),
    inference(avatar_split_clause,[],[f289,f297,f293]) ).

fof(f289,plain,
    ! [X1] :
      ( p27(f12(c32,f14(sF5,f17(c36,X1))),sF1)
      | ~ p27(f12(c32,sF3),sF1)
      | ~ p28(f21(c30,X1),c31) ),
    inference(superposition,[],[f59,f65]) ).

fof(f59,plain,
    ! [X104,X103] :
      ( p27(f12(c32,f14(f19(c35,X103),f17(c36,X104))),sF1)
      | ~ p27(f12(c32,X103),sF1)
      | ~ p28(f21(c30,X104),c31) ),
    inference(definition_folding,[],[f55,f57,f56,f57,f56]) ).

fof(f55,axiom,
    ! [X104,X103] :
      ( ~ p28(f21(c30,X104),c31)
      | p27(f12(c32,f14(f19(c35,X103),f17(c36,X104))),f5(c33,f8(c34,c30)))
      | ~ p27(f12(c32,X103),f5(c33,f8(c34,c30))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_55) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN673-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % 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 : n012.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 22:14:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.46  % (10624)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)
% 0.20/0.46  % (10612)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.47  % (10612)Instruction limit reached!
% 0.20/0.47  % (10612)------------------------------
% 0.20/0.47  % (10612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (10612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (10612)Termination reason: Unknown
% 0.20/0.47  % (10612)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (10612)Memory used [KB]: 5500
% 0.20/0.47  % (10612)Time elapsed: 0.060 s
% 0.20/0.47  % (10612)Instructions burned: 8 (million)
% 0.20/0.47  % (10612)------------------------------
% 0.20/0.47  % (10612)------------------------------
% 0.20/0.50  % (10609)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (10623)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (10617)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  % (10616)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)
% 0.20/0.53  % (10608)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)
% 0.20/0.53  % (10607)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)
% 0.20/0.53  % (10632)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)
% 0.20/0.53  % (10615)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (10606)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)
% 0.20/0.53  % (10610)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  % (10606)Refutation not found, incomplete strategy% (10606)------------------------------
% 0.20/0.53  % (10606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10606)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (10606)Memory used [KB]: 5500
% 0.20/0.53  % (10606)Time elapsed: 0.126 s
% 0.20/0.53  % (10606)Instructions burned: 3 (million)
% 0.20/0.53  % (10606)------------------------------
% 0.20/0.53  % (10606)------------------------------
% 0.20/0.53  % (10614)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)
% 0.20/0.54  % (10619)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)
% 0.20/0.54  % (10623)First to succeed.
% 0.20/0.54  % (10623)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (10623)------------------------------
% 0.20/0.54  % (10623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (10623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (10623)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (10623)Memory used [KB]: 5884
% 0.20/0.54  % (10623)Time elapsed: 0.145 s
% 0.20/0.54  % (10623)Instructions burned: 24 (million)
% 0.20/0.54  % (10623)------------------------------
% 0.20/0.54  % (10623)------------------------------
% 0.20/0.54  % (10604)Success in time 0.189 s
%------------------------------------------------------------------------------