%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n002.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 18:03:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  13   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f183,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f16]) ).

fof(f16,axiom,
    less(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_less_than_c) ).

fof(f179,plain,
    ~ less(b,c),
    inference(resolution,[],[f176,f17]) ).

fof(f17,axiom,
    ~ less(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_greater_equal_a) ).

fof(f176,plain,
    ! [X0] :
      ( less(X0,a)
      | ~ less(X0,c) ),
    inference(resolution,[],[f63,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
      | ~ less(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_lemma) ).

fof(f63,plain,
    ! [X3,X4] :
      ( ~ equalish(add(successor(X3),X4),c)
      | less(X4,a) ),
    inference(resolution,[],[f56,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(add(successor(X0),X1),X2)
      | less(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',smaller_number) ).

fof(f56,plain,
    ! [X0] :
      ( equalish(X0,a)
      | ~ equalish(X0,c) ),
    inference(resolution,[],[f53,f15]) ).

fof(f15,axiom,
    ! [X3,X4,X5] :
      ( ~ equalish(X4,X5)
      | equalish(X3,X5)
      | ~ equalish(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f53,plain,
    equalish(c,a),
    inference(subsumption_resolution,[],[f51,f17]) ).

fof(f51,plain,
    ( less(b,a)
    | equalish(c,a) ),
    inference(resolution,[],[f39,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ less(c,X0)
      | less(b,X0) ),
    inference(resolution,[],[f7,f16]) ).

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

fof(f39,plain,
    ( less(c,a)
    | equalish(c,a) ),
    inference(resolution,[],[f10,f18]) ).

fof(f18,axiom,
    divides(c,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impossible_c_divides_a) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.13  % 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 : n002.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 06:01:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (22248)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)
% 0.19/0.50  % (22256)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (22270)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (22248)First to succeed.
% 0.19/0.51  % (22250)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22248)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (22248)------------------------------
% 0.19/0.51  % (22248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22248)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (22248)Memory used [KB]: 1023
% 0.19/0.51  % (22248)Time elapsed: 0.103 s
% 0.19/0.51  % (22248)Instructions burned: 6 (million)
% 0.19/0.51  % (22248)------------------------------
% 0.19/0.51  % (22248)------------------------------
% 0.19/0.51  % (22245)Success in time 0.166 s
%------------------------------------------------------------------------------