%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT004-4 : 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_sat --cores 0 -t %d %s

% Computer : n009.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 15:51:14 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f17]) ).

fof(f17,axiom,
    h != g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).

fof(f104,plain,
    h = g,
    inference(equality_resolution,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( compose(X0,a) != compose(h,a)
      | g = X0 ),
    inference(superposition,[],[f20,f86]) ).

fof(f86,plain,
    compose(g,a) = compose(h,a),
    inference(equality_resolution,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( compose(h,compose(a,b)) != compose(X0,compose(X1,b))
      | compose(X0,X1) = compose(g,a) ),
    inference(superposition,[],[f39,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f39,plain,
    ! [X0] :
      ( compose(X0,b) != compose(h,compose(a,b))
      | compose(g,a) = X0 ),
    inference(superposition,[],[f28,f16]) ).

fof(f16,axiom,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).

fof(f28,plain,
    ! [X10,X11,X9] :
      ( compose(X9,compose(X10,b)) != compose(X11,b)
      | compose(X9,X10) = X11 ),
    inference(superposition,[],[f18,f9]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( compose(X0,b) != compose(X2,b)
      | X0 = X2 ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( compose(X0,b) != X1
      | compose(X2,b) != X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).

fof(f20,plain,
    ! [X2,X0] :
      ( compose(X0,a) != compose(X2,a)
      | X0 = X2 ),
    inference(equality_resolution,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( compose(X0,a) != X1
      | compose(X2,a) != X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CAT004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 16:13:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (6295)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49  % (6303)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.49  % (6303)First to succeed.
% 0.19/0.51  % (6303)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  % (6303)------------------------------
% 0.19/0.51  % (6303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (6303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (6303)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (6303)Memory used [KB]: 5500
% 0.19/0.51  % (6303)Time elapsed: 0.090 s
% 0.19/0.51  % (6303)Instructions burned: 7 (million)
% 0.19/0.51  % (6303)------------------------------
% 0.19/0.51  % (6303)------------------------------
% 0.19/0.51  % (6279)Success in time 0.161 s
%------------------------------------------------------------------------------