%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG037-2 : 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 : n013.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 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(subsumption_resolution,[],[f46,f28]) ).

fof(f28,axiom,
    product(a,additive_inverse(b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).

fof(f46,plain,
    ~ product(a,additive_inverse(b),c),
    inference(unit_resulting_resolution,[],[f30,f26,f13,f27,f19]) ).

fof(f19,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X8,X9)
      | ~ sum(X1,X3,X8)
      | sum(X6,X7,X9)
      | ~ product(X0,X3,X7)
      | ~ product(X0,X1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f27,axiom,
    product(a,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).

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

fof(f26,axiom,
    ! [X0] : product(X0,additive_identity,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).

fof(f30,plain,
    ~ sum(d,c,additive_identity),
    inference(unit_resulting_resolution,[],[f29,f16]) ).

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(f29,axiom,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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 11:50:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (7055)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (7058)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.54  % (7065)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.55  % (7058)First to succeed.
% 0.20/0.55  % (7058)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (7058)------------------------------
% 0.20/0.55  % (7058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (7058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (7058)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (7058)Memory used [KB]: 5884
% 0.20/0.55  % (7058)Time elapsed: 0.136 s
% 0.20/0.55  % (7058)Instructions burned: 4 (million)
% 0.20/0.55  % (7058)------------------------------
% 0.20/0.55  % (7058)------------------------------
% 0.20/0.55  % (7053)Success in time 0.198 s
%------------------------------------------------------------------------------