TSTP Solution File: SYN229-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN229-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : 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 19:25:55 EDT 2022

% Result   : Unsatisfiable 0.15s 0.46s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f817,plain,
    $false,
    inference(avatar_sat_refutation,[],[f387,f395,f816]) ).

fof(f816,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f815]) ).

fof(f815,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f726,f812]) ).

fof(f812,plain,
    ! [X19,X20] : p1(X19,X20,a),
    inference(subsumption_resolution,[],[f702,f811]) ).

fof(f811,plain,
    ! [X1] : p1(a,X1,a),
    inference(subsumption_resolution,[],[f799,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f799,plain,
    ! [X1] :
      ( ~ m0(a,a,a)
      | p1(a,X1,a) ),
    inference(resolution,[],[f633,f120]) ).

fof(f120,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ m0(X3,X5,X10)
      | ~ p1(X3,X5,X10)
      | p1(X5,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).

fof(f633,plain,
    p1(a,a,a),
    inference(resolution,[],[f37,f104]) ).

fof(f104,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | p1(X4,X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f702,plain,
    ! [X19,X20] :
      ( p1(X19,X20,a)
      | ~ p1(a,X19,a) ),
    inference(resolution,[],[f12,f120]) ).

fof(f726,plain,
    ( ~ p1(c,b,a)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f718,f400]) ).

fof(f400,plain,
    ( ! [X0,X1] : ~ p1(X0,X1,c)
    | spl0_2 ),
    inference(resolution,[],[f386,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).

fof(f386,plain,
    ( ~ n2(c)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_2
  <=> n2(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f718,plain,
    ! [X2] :
      ( ~ p1(c,b,a)
      | p1(b,X2,c) ),
    inference(resolution,[],[f16,f120]) ).

fof(f16,axiom,
    m0(c,b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f395,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f389]) ).

fof(f389,plain,
    ( ! [X0] : ~ n0(X0,b)
    | spl0_1 ),
    inference(resolution,[],[f388,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f388,plain,
    ( ~ k1(b)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f174,f383]) ).

fof(f383,plain,
    ( ~ m2(b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl0_1
  <=> m2(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f174,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f387,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f373,f385,f382]) ).

fof(f373,plain,
    ( ~ n2(c)
    | ~ m2(b) ),
    inference(resolution,[],[f369,f255]) ).

fof(f255,axiom,
    ! [X6] :
      ( ~ n2(X6)
      | ~ m2(b)
      | l3(X6,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_217) ).

fof(f369,axiom,
    ! [X0] : ~ l3(c,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SYN229-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.30  % Computer : n025.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Tue Aug 30 21:47:15 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.15/0.43  % (18546)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.43  % (18534)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.44  % (18552)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.44  % (18538)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)
% 0.15/0.44  % (18544)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)
% 0.15/0.44  % (18546)Instruction limit reached!
% 0.15/0.44  % (18546)------------------------------
% 0.15/0.44  % (18546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45  % (18537)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.45  % (18537)Instruction limit reached!
% 0.15/0.45  % (18537)------------------------------
% 0.15/0.45  % (18537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45  % (18537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45  % (18537)Termination reason: Unknown
% 0.15/0.45  % (18537)Termination phase: Saturation
% 0.15/0.45  
% 0.15/0.45  % (18537)Memory used [KB]: 1791
% 0.15/0.45  % (18537)Time elapsed: 0.005 s
% 0.15/0.45  % (18537)Instructions burned: 3 (million)
% 0.15/0.45  % (18537)------------------------------
% 0.15/0.45  % (18537)------------------------------
% 0.15/0.45  % (18544)Instruction limit reached!
% 0.15/0.45  % (18544)------------------------------
% 0.15/0.45  % (18544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45  % (18544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45  % (18544)Termination reason: Unknown
% 0.15/0.45  % (18544)Termination phase: Finite model building preprocessing
% 0.15/0.45  
% 0.15/0.45  % (18544)Memory used [KB]: 1918
% 0.15/0.45  % (18544)Time elapsed: 0.009 s
% 0.15/0.45  % (18544)Instructions burned: 6 (million)
% 0.15/0.45  % (18544)------------------------------
% 0.15/0.45  % (18544)------------------------------
% 0.15/0.45  % (18538)Refutation not found, incomplete strategy% (18538)------------------------------
% 0.15/0.45  % (18538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45  % (18538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45  % (18538)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.45  
% 0.15/0.45  % (18538)Memory used [KB]: 6396
% 0.15/0.45  % (18538)Time elapsed: 0.103 s
% 0.15/0.45  % (18538)Instructions burned: 5 (million)
% 0.15/0.45  % (18538)------------------------------
% 0.15/0.45  % (18538)------------------------------
% 0.15/0.45  % (18536)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)
% 0.15/0.45  % (18546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45  % (18546)Termination reason: Unknown
% 0.15/0.45  % (18546)Termination phase: Saturation
% 0.15/0.45  
% 0.15/0.45  % (18546)Memory used [KB]: 6652
% 0.15/0.45  % (18546)Time elapsed: 0.008 s
% 0.15/0.45  % (18546)Instructions burned: 8 (million)
% 0.15/0.45  % (18546)------------------------------
% 0.15/0.45  % (18546)------------------------------
% 0.15/0.45  % (18536)Refutation not found, incomplete strategy% (18536)------------------------------
% 0.15/0.45  % (18536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (18549)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.46  % (18552)First to succeed.
% 0.15/0.46  % (18536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (18536)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.46  
% 0.15/0.46  % (18536)Memory used [KB]: 6140
% 0.15/0.46  % (18536)Time elapsed: 0.006 s
% 0.15/0.46  % (18536)Instructions burned: 2 (million)
% 0.15/0.46  % (18536)------------------------------
% 0.15/0.46  % (18536)------------------------------
% 0.15/0.46  % (18549)Instruction limit reached!
% 0.15/0.46  % (18549)------------------------------
% 0.15/0.46  % (18549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (18549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (18549)Termination reason: Unknown
% 0.15/0.46  % (18549)Termination phase: Saturation
% 0.15/0.46  
% 0.15/0.46  % (18549)Memory used [KB]: 1791
% 0.15/0.46  % (18549)Time elapsed: 0.005 s
% 0.15/0.46  % (18549)Instructions burned: 6 (million)
% 0.15/0.46  % (18549)------------------------------
% 0.15/0.46  % (18549)------------------------------
% 0.15/0.46  % (18554)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)
% 0.15/0.46  % (18552)Refutation found. Thanks to Tanya!
% 0.15/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46  % (18552)------------------------------
% 0.15/0.46  % (18552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (18552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (18552)Termination reason: Refutation
% 0.15/0.46  
% 0.15/0.46  % (18552)Memory used [KB]: 6780
% 0.15/0.46  % (18552)Time elapsed: 0.076 s
% 0.15/0.46  % (18552)Instructions burned: 17 (million)
% 0.15/0.46  % (18552)------------------------------
% 0.15/0.46  % (18552)------------------------------
% 0.15/0.46  % (18528)Success in time 0.147 s
%------------------------------------------------------------------------------