TSTP Solution File: SYN328-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 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 19:26:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  19   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f157,plain,
    $false,
    inference(subsumption_resolution,[],[f151,f144]) ).

fof(f144,plain,
    ! [X2] : g(X2),
    inference(resolution,[],[f140,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | g(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f140,plain,
    ! [X8] : h(y(X8)),
    inference(resolution,[],[f129,f124]) ).

fof(f124,plain,
    ! [X2] : g(y(X2)),
    inference(subsumption_resolution,[],[f123,f116]) ).

fof(f116,plain,
    ! [X2] : f(X2),
    inference(subsumption_resolution,[],[f114,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ g(y(X0))
      | f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f114,plain,
    ! [X2] :
      ( f(X2)
      | g(y(X2)) ),
    inference(resolution,[],[f109,f6]) ).

fof(f109,plain,
    ! [X1] :
      ( h(y(y(X1)))
      | f(X1) ),
    inference(resolution,[],[f95,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | h(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f95,plain,
    ! [X1] :
      ( h(y(y(y(X1))))
      | f(X1) ),
    inference(subsumption_resolution,[],[f93,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( g(y(y(X0)))
      | f(X0) ),
    inference(subsumption_resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( f(y(X0))
      | f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f14,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | g(y(y(X0)))
      | f(X0) ),
    inference(resolution,[],[f12,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | ~ f(X0)
      | g(y(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f12,plain,
    ! [X0] :
      ( f(y(y(X0)))
      | f(X0) ),
    inference(resolution,[],[f5,f3]) ).

fof(f5,axiom,
    ! [X0] :
      ( g(X0)
      | f(y(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f93,plain,
    ! [X1] :
      ( h(y(y(y(X1))))
      | f(X1)
      | ~ g(y(y(X1))) ),
    inference(resolution,[],[f54,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | h(y(X0))
      | ~ g(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f54,plain,
    ! [X1] :
      ( f(y(y(y(X1))))
      | f(X1) ),
    inference(resolution,[],[f32,f3]) ).

fof(f32,plain,
    ! [X1] :
      ( g(X1)
      | f(y(y(X1))) ),
    inference(resolution,[],[f24,f6]) ).

fof(f24,plain,
    ! [X0] :
      ( h(X0)
      | f(y(X0)) ),
    inference(resolution,[],[f23,f10]) ).

fof(f23,plain,
    ! [X0] :
      ( h(X0)
      | f(X0) ),
    inference(subsumption_resolution,[],[f21,f3]) ).

fof(f21,plain,
    ! [X0] :
      ( h(X0)
      | g(y(X0))
      | f(X0) ),
    inference(resolution,[],[f9,f2]) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | h(X0)
      | g(y(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f123,plain,
    ! [X2] :
      ( ~ f(X2)
      | g(y(X2)) ),
    inference(resolution,[],[f116,f1]) ).

fof(f129,plain,
    ! [X1] :
      ( ~ g(X1)
      | h(X1) ),
    inference(resolution,[],[f122,f10]) ).

fof(f122,plain,
    ! [X1] :
      ( h(y(X1))
      | ~ g(X1) ),
    inference(resolution,[],[f116,f4]) ).

fof(f151,plain,
    ! [X3] : ~ g(z(X3)),
    inference(subsumption_resolution,[],[f149,f116]) ).

fof(f149,plain,
    ! [X3] :
      ( ~ g(z(X3))
      | ~ f(z(X3)) ),
    inference(resolution,[],[f143,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ h(z(X0))
      | ~ f(z(X0))
      | ~ g(z(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f143,plain,
    ! [X1] : h(X1),
    inference(resolution,[],[f140,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % 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 : n025.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 21:52:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (28330)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)
% 0.19/0.49  % (28346)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.49  % (28330)Instruction limit reached!
% 0.19/0.49  % (28330)------------------------------
% 0.19/0.49  % (28330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (28338)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (28330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (28330)Termination reason: Unknown
% 0.19/0.49  % (28330)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (28330)Memory used [KB]: 5756
% 0.19/0.49  % (28330)Time elapsed: 0.090 s
% 0.19/0.49  % (28330)Instructions burned: 3 (million)
% 0.19/0.49  % (28330)------------------------------
% 0.19/0.49  % (28330)------------------------------
% 0.19/0.50  % (28338)Instruction limit reached!
% 0.19/0.50  % (28338)------------------------------
% 0.19/0.50  % (28338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (28338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (28338)Termination reason: Unknown
% 0.19/0.50  % (28338)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (28338)Memory used [KB]: 5756
% 0.19/0.50  % (28338)Time elapsed: 0.099 s
% 0.19/0.50  % (28338)Instructions burned: 2 (million)
% 0.19/0.50  % (28338)------------------------------
% 0.19/0.50  % (28338)------------------------------
% 0.19/0.50  % (28331)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  % (28346)First to succeed.
% 0.19/0.50  % (28346)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (28346)------------------------------
% 0.19/0.50  % (28346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (28346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (28346)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (28346)Memory used [KB]: 5756
% 0.19/0.50  % (28346)Time elapsed: 0.103 s
% 0.19/0.50  % (28346)Instructions burned: 4 (million)
% 0.19/0.50  % (28346)------------------------------
% 0.19/0.50  % (28346)------------------------------
% 0.19/0.50  % (28321)Success in time 0.154 s
%------------------------------------------------------------------------------