%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n001.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 16:06:39 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f350,plain,
    $false,
    inference(subsumption_resolution,[],[f346,f35]) ).

fof(f35,plain,
    equalish(x,a),
    inference(resolution,[],[f22,f32]) ).

fof(f32,axiom,
    equalish(a,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_x_5) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ equalish(X1,X0)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f346,plain,
    ~ equalish(x,a),
    inference(resolution,[],[f174,f34]) ).

fof(f34,axiom,
    ~ equalish(add(x,b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_c_7) ).

fof(f174,plain,
    ! [X0] :
      ( equalish(add(X0,b),c)
      | ~ equalish(X0,a) ),
    inference(subsumption_resolution,[],[f154,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f154,plain,
    ! [X0] :
      ( equalish(add(X0,b),c)
      | ~ equalish(X0,a)
      | ~ defined(b) ),
    inference(resolution,[],[f54,f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ defined(X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).

fof(f54,plain,
    ! [X8] :
      ( ~ equalish(X8,add(a,b))
      | equalish(X8,c) ),
    inference(resolution,[],[f23,f33]) ).

fof(f33,axiom,
    equalish(add(a,b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_c_6) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | ~ equalish(X0,X1)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n001.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 20:56:15 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.48  % (30119)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.49  % (30127)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.50  % (30119)First to succeed.
% 0.17/0.50  % (30126)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.50  % (30119)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (30119)------------------------------
% 0.17/0.50  % (30119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (30119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (30119)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (30119)Memory used [KB]: 5500
% 0.17/0.50  % (30119)Time elapsed: 0.114 s
% 0.17/0.50  % (30119)Instructions burned: 10 (million)
% 0.17/0.50  % (30119)------------------------------
% 0.17/0.50  % (30119)------------------------------
% 0.17/0.50  % (30098)Success in time 0.174 s
%------------------------------------------------------------------------------