TSTP Solution File: SYN556-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN556-1 : 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_uns --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 19:27:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   47 (  21 unt;   0 def)
%            Number of atoms       :   89 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   85 (  43   ~;  40   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-3 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214,plain,
    $false,
    inference(avatar_sat_refutation,[],[f148,f150,f213]) ).

fof(f213,plain,
    ~ spl8_2,
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f210,f22]) ).

fof(f22,plain,
    ~ p3(c9,sF7),
    inference(definition_folding,[],[f9,f21,f20,f15,f14,f19]) ).

fof(f19,plain,
    f8(c11,c10) = sF5,
    introduced(function_definition,[]) ).

fof(f14,plain,
    f7(c12) = sF1,
    introduced(function_definition,[]) ).

fof(f15,plain,
    sF2 = f6(sF1),
    introduced(function_definition,[]) ).

fof(f20,plain,
    sF6 = f5(sF5,sF2),
    introduced(function_definition,[]) ).

fof(f21,plain,
    sF7 = f4(c10,sF6,c11),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).

fof(f210,plain,
    ( p3(c9,sF7)
    | ~ spl8_2 ),
    inference(resolution,[],[f191,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X1] : p3(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).

fof(f7,axiom,
    ! [X1,X8,X9] :
      ( ~ p3(X1,X9)
      | ~ p3(X1,X8)
      | p3(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).

fof(f191,plain,
    ( p3(sF7,c9)
    | ~ spl8_2 ),
    inference(resolution,[],[f183,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ p3(sF4,X0)
      | p3(X0,c9) ),
    inference(resolution,[],[f65,f7]) ).

fof(f65,plain,
    p3(sF4,c9),
    inference(resolution,[],[f43,f18]) ).

fof(f18,plain,
    p3(c9,sF4),
    inference(definition_folding,[],[f8,f17,f16,f15,f14,f13]) ).

fof(f13,plain,
    f8(c11,c13) = sF0,
    introduced(function_definition,[]) ).

fof(f16,plain,
    f5(sF0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f17,plain,
    f4(c13,sF3,c11) = sF4,
    introduced(function_definition,[]) ).

fof(f8,axiom,
    p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

fof(f183,plain,
    ( p3(sF4,sF7)
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f182,f2]) ).

fof(f182,plain,
    ( ~ p3(c11,c11)
    | p3(sF4,sF7)
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f181,f99]) ).

fof(f99,plain,
    ( p2(sF3,sF6)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl8_2
  <=> p2(sF3,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f181,plain,
    ( ~ p2(sF3,sF6)
    | p3(sF4,sF7)
    | ~ p3(c11,c11) ),
    inference(subsumption_resolution,[],[f180,f36]) ).

fof(f36,plain,
    p2(c13,c10),
    inference(resolution,[],[f29,f3]) ).

fof(f3,axiom,
    p2(c10,c13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f6,axiom,
    ! [X0,X6,X7] :
      ( ~ p2(X0,X7)
      | ~ p2(X0,X6)
      | p2(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f180,plain,
    ( ~ p2(c13,c10)
    | ~ p2(sF3,sF6)
    | p3(sF4,sF7)
    | ~ p3(c11,c11) ),
    inference(superposition,[],[f60,f21]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( p3(sF4,f4(X0,X1,X2))
      | ~ p3(c11,X2)
      | ~ p2(c13,X0)
      | ~ p2(sF3,X1) ),
    inference(superposition,[],[f12,f17]) ).

fof(f12,axiom,
    ! [X21,X18,X19,X22,X23,X20] :
      ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
      | ~ p2(X19,X22)
      | ~ p3(X20,X23)
      | ~ p2(X18,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).

fof(f150,plain,
    spl8_1,
    inference(avatar_split_clause,[],[f149,f93]) ).

fof(f93,plain,
    ( spl8_1
  <=> p2(sF0,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f149,plain,
    p2(sF0,sF5),
    inference(subsumption_resolution,[],[f143,f36]) ).

fof(f143,plain,
    ( p2(sF0,sF5)
    | ~ p2(c13,c10) ),
    inference(subsumption_resolution,[],[f142,f2]) ).

fof(f142,plain,
    ( ~ p3(c11,c11)
    | p2(sF0,sF5)
    | ~ p2(c13,c10) ),
    inference(superposition,[],[f53,f19]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( p2(sF0,f8(X0,X1))
      | ~ p3(c11,X0)
      | ~ p2(c13,X1) ),
    inference(superposition,[],[f11,f13]) ).

fof(f11,axiom,
    ! [X16,X14,X17,X15] :
      ( p2(f8(X14,X15),f8(X16,X17))
      | ~ p3(X14,X16)
      | ~ p2(X15,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f148,plain,
    ( spl8_2
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f147,f93,f97]) ).

fof(f147,plain,
    ( ~ p2(sF0,sF5)
    | p2(sF3,sF6) ),
    inference(subsumption_resolution,[],[f130,f1]) ).

fof(f130,plain,
    ( ~ p2(sF2,sF2)
    | p2(sF3,sF6)
    | ~ p2(sF0,sF5) ),
    inference(superposition,[],[f50,f16]) ).

fof(f50,plain,
    ! [X2,X3] :
      ( p2(f5(X2,X3),sF6)
      | ~ p2(X3,sF2)
      | ~ p2(X2,sF5) ),
    inference(superposition,[],[f10,f20]) ).

fof(f10,axiom,
    ! [X10,X11,X12,X13] :
      ( p2(f5(X10,X11),f5(X12,X13))
      | ~ p2(X11,X13)
      | ~ p2(X10,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN556-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 22:06:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  % (1056)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (1072)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.51  % (1052)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (1045)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (1064)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51  % (1058)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51  % (1059)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (1060)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (1045)First to succeed.
% 0.19/0.51  % (1059)Instruction limit reached!
% 0.19/0.51  % (1059)------------------------------
% 0.19/0.51  % (1059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (1059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (1059)Termination reason: Unknown
% 0.19/0.51  % (1059)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (1059)Memory used [KB]: 5884
% 0.19/0.51  % (1059)Time elapsed: 0.108 s
% 0.19/0.51  % (1059)Instructions burned: 5 (million)
% 0.19/0.51  % (1059)------------------------------
% 0.19/0.51  % (1059)------------------------------
% 0.19/0.52  % (1064)Instruction limit reached!
% 0.19/0.52  % (1064)------------------------------
% 0.19/0.52  % (1064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1062)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (1061)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (1062)Instruction limit reached!
% 0.19/0.52  % (1062)------------------------------
% 0.19/0.52  % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1062)Termination reason: Unknown
% 0.19/0.52  % (1062)Termination phase: Finite model building constraint generation
% 0.19/0.52  
% 0.19/0.52  % (1062)Memory used [KB]: 6140
% 0.19/0.52  % (1062)Time elapsed: 0.113 s
% 0.19/0.52  % (1062)Instructions burned: 8 (million)
% 0.19/0.52  % (1062)------------------------------
% 0.19/0.52  % (1062)------------------------------
% 0.19/0.53  % (1045)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (1045)------------------------------
% 0.19/0.53  % (1045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1045)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (1045)Memory used [KB]: 6012
% 0.19/0.53  % (1045)Time elapsed: 0.103 s
% 0.19/0.53  % (1045)Instructions burned: 10 (million)
% 0.19/0.53  % (1045)------------------------------
% 0.19/0.53  % (1045)------------------------------
% 0.19/0.53  % (1044)Success in time 0.175 s
%------------------------------------------------------------------------------