%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG038-2 : 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_uns --cores 0 -t %d %s

% Computer : n010.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 18:14:32 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f25]) ).

fof(f25,axiom,
    ! [X0] : product(additive_identity,X0,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).

fof(f99,plain,
    ~ product(additive_identity,h(additive_identity,a),additive_identity),
    inference(resolution,[],[f90,f74]) ).

fof(f74,plain,
    ! [X13] : product(additive_identity,h(additive_identity,X13),X13),
    inference(subsumption_resolution,[],[f73,f32]) ).

fof(f32,plain,
    ! [X1] : sum(additive_inverse(X1),X1,additive_identity),
    inference(resolution,[],[f16,f13]) ).

fof(f13,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).

fof(f16,axiom,
    ! [X3,X0,X1] :
      ( ~ sum(X0,X1,X3)
      | sum(X1,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f73,plain,
    ! [X12,X13] :
      ( ~ sum(additive_inverse(X12),X12,additive_identity)
      | product(additive_identity,h(additive_identity,X13),X13) ),
    inference(resolution,[],[f57,f32]) ).

fof(f57,plain,
    ! [X6,X7,X4,X5] :
      ( ~ sum(X4,X5,X6)
      | ~ sum(X4,X5,additive_identity)
      | product(X6,h(X6,X7),X7) ),
    inference(resolution,[],[f23,f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ~ equalish(X0,additive_identity)
      | product(X0,h(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_property) ).

fof(f23,axiom,
    ! [X0,X1,X4,X5] :
      ( equalish(X4,X5)
      | ~ sum(X0,X1,X4)
      | ~ sum(X0,X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,a)
      | ~ product(X0,X1,additive_identity) ),
    inference(resolution,[],[f24,f29]) ).

fof(f29,axiom,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_additive_identity) ).

fof(f24,axiom,
    ! [X0,X1,X4,X5] :
      ( equalish(X4,X5)
      | ~ product(X0,X1,X4)
      | ~ product(X0,X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 11:49:29 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.51  % (31064)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52  % (31064)First to succeed.
% 0.18/0.53  % (31080)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.53  % (31064)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (31064)------------------------------
% 0.18/0.53  % (31064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (31064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (31064)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (31064)Memory used [KB]: 1407
% 0.18/0.53  % (31064)Time elapsed: 0.116 s
% 0.18/0.53  % (31064)Instructions burned: 5 (million)
% 0.18/0.53  % (31064)------------------------------
% 0.18/0.53  % (31064)------------------------------
% 0.18/0.53  % (31057)Success in time 0.193 s
%------------------------------------------------------------------------------