TSTP Solution File: NUM025-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM025-1 : 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 : n024.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 18:03:18 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(resolution,[],[f34,f15]) ).

fof(f15,axiom,
    less(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_less_than_b) ).

fof(f34,plain,
    ~ less(a,b),
    inference(resolution,[],[f33,f16]) ).

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

fof(f33,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X1,X0) ),
    inference(resolution,[],[f7,f14]) ).

fof(f14,axiom,
    ! [X0] : ~ less(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_number_less_than_itself) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM025-1 : 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 : n024.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 05:52:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (32221)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)
% 0.20/0.50  % (32223)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (32228)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (32228)First to succeed.
% 0.20/0.51  % (32228)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (32228)------------------------------
% 0.20/0.51  % (32228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (32228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (32228)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (32228)Memory used [KB]: 895
% 0.20/0.51  % (32228)Time elapsed: 0.094 s
% 0.20/0.51  % (32228)Instructions burned: 2 (million)
% 0.20/0.51  % (32228)------------------------------
% 0.20/0.51  % (32228)------------------------------
% 0.20/0.51  % (32217)Success in time 0.157 s
%------------------------------------------------------------------------------