%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 18:43:48 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (   8 unt;   0 def)
%            Number of atoms       :   85 (   7 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   80 (  36   ~;  38   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f378,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f90,f104,f108,f120,f308,f377]) ).

fof(f377,plain,
    ( ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f375,plain,
    ( $false
    | ~ spl0_4
    | spl0_7 ),
    inference(resolution,[],[f318,f6]) ).

fof(f6,axiom,
    ! [X0] : less_than(X0,successor(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_than_successor) ).

fof(f318,plain,
    ( ~ less_than(n,successor(n))
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f85,f49]) ).

fof(f49,plain,
    ( n = m
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_4
  <=> n = m ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f85,plain,
    ( ~ less_than(m,successor(n))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl0_7
  <=> less_than(m,successor(n)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f308,plain,
    ( ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f301,f6]) ).

fof(f301,plain,
    ( ~ less_than(n,successor(n))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f295,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).

fof(f295,plain,
    ( less_than(successor(n),n)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f75,f103]) ).

fof(f103,plain,
    ( less_than(successor(n),m)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_10
  <=> less_than(successor(n),m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f75,plain,
    ( ! [X0] :
        ( ~ less_than(X0,m)
        | less_than(X0,n) )
    | ~ spl0_3 ),
    inference(resolution,[],[f45,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ less_than(X1,X2)
      | ~ less_than(X0,X1)
      | less_than(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_than) ).

fof(f45,plain,
    ( less_than(m,n)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_3
  <=> less_than(m,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f120,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | ~ spl0_9 ),
    inference(resolution,[],[f114,f16]) ).

fof(f16,axiom,
    ~ less_than(n,m),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f114,plain,
    ( less_than(n,m)
    | ~ spl0_9 ),
    inference(superposition,[],[f6,f99]) ).

fof(f99,plain,
    ( m = successor(n)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_9
  <=> m = successor(n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f108,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | ~ spl0_8 ),
    inference(resolution,[],[f89,f52]) ).

fof(f52,plain,
    ~ less_than(m,i),
    inference(resolution,[],[f17,f10]) ).

fof(f17,axiom,
    less_than(i,m),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f89,plain,
    ( less_than(m,i)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_8
  <=> less_than(m,i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f104,plain,
    ( spl0_9
    | spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f95,f83,f101,f97]) ).

fof(f95,plain,
    ( less_than(successor(n),m)
    | m = successor(n)
    | spl0_7 ),
    inference(resolution,[],[f85,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_related) ).

fof(f90,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f79,f87,f83]) ).

fof(f79,plain,
    ( less_than(m,i)
    | ~ less_than(m,successor(n)) ),
    inference(resolution,[],[f23,f20]) ).

fof(f20,axiom,
    less_than(a(m),a(k)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

fof(f23,axiom,
    ! [X0] :
      ( ~ less_than(a(X0),a(k))
      | ~ less_than(X0,successor(n))
      | less_than(X0,i) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

fof(f50,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f41,f47,f43]) ).

fof(f41,plain,
    ( n = m
    | less_than(m,n) ),
    inference(resolution,[],[f16,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:08:27 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (22864)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)
% 0.21/0.51  % (22880)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.51  % (22864)Instruction limit reached!
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.51  % (22864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (22873)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.51  % (22864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (22864)Termination reason: Unknown
% 0.21/0.51  % (22864)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (22864)Memory used [KB]: 5884
% 0.21/0.51  % (22864)Time elapsed: 0.097 s
% 0.21/0.51  % (22852)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51  % (22864)Instructions burned: 5 (million)
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.52  % (22857)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52  % (22854)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.52  % (22865)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)
% 0.21/0.52  % (22856)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.52  % (22854)Instruction limit reached!
% 0.21/0.52  % (22854)------------------------------
% 0.21/0.52  % (22854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (22854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (22854)Termination reason: Unknown
% 0.21/0.52  % (22854)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (22854)Memory used [KB]: 5884
% 0.21/0.52  % (22854)Time elapsed: 0.110 s
% 0.21/0.52  % (22854)Instructions burned: 6 (million)
% 0.21/0.52  % (22854)------------------------------
% 0.21/0.52  % (22854)------------------------------
% 0.21/0.52  % (22855)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.52  % (22865)Instruction limit reached!
% 0.21/0.52  % (22865)------------------------------
% 0.21/0.52  % (22865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (22865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (22865)Termination reason: Unknown
% 0.21/0.52  % (22865)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (22865)Memory used [KB]: 5884
% 0.21/0.52  % (22865)Time elapsed: 0.074 s
% 0.21/0.52  % (22865)Instructions burned: 4 (million)
% 0.21/0.52  % (22865)------------------------------
% 0.21/0.52  % (22865)------------------------------
% 0.21/0.52  % (22853)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.52  % (22869)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (22881)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (22873)First to succeed.
% 0.21/0.53  % (22880)Also succeeded, but the first one will report.
% 0.21/0.53  % (22861)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)
% 0.21/0.53  % (22858)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (22863)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)
% 0.21/0.53  % (22873)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (22873)------------------------------
% 0.21/0.53  % (22873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (22873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (22873)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (22873)Memory used [KB]: 6012
% 0.21/0.53  % (22873)Time elapsed: 0.118 s
% 0.21/0.53  % (22873)Instructions burned: 8 (million)
% 0.21/0.53  % (22873)------------------------------
% 0.21/0.53  % (22873)------------------------------
% 0.21/0.53  % (22851)Success in time 0.172 s
%------------------------------------------------------------------------------