TSTP Solution File: RNG041-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG041-1 : 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 : n004.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 18:14:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   30 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  15   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(global_subsumption,[],[f25,f210]) ).

fof(f210,plain,
    additive_identity = a,
    inference(resolution,[],[f209,f20]) ).

fof(f20,axiom,
    ! [X10] : product(X10,multiplicative_identity,X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_identity) ).

fof(f209,plain,
    ! [X30] :
      ( ~ product(a,multiplicative_identity,X30)
      | additive_identity = X30 ),
    inference(global_subsumption,[],[f26,f208]) ).

fof(f208,plain,
    ! [X30] :
      ( ~ product(a,multiplicative_identity,X30)
      | additive_identity = X30
      | additive_identity = b ),
    inference(resolution,[],[f200,f22]) ).

fof(f22,axiom,
    ! [X10] :
      ( product(X10,h(X10),multiplicative_identity)
      | additive_identity = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f200,plain,
    ! [X50,X48,X49] :
      ( ~ product(b,X48,X49)
      | ~ product(a,X49,X50)
      | additive_identity = X50 ),
    inference(resolution,[],[f51,f24]) ).

fof(f24,axiom,
    product(a,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).

fof(f51,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ product(X7,X8,additive_identity)
      | ~ product(X8,X9,X10)
      | ~ product(X7,X10,X6)
      | additive_identity = X6 ),
    inference(resolution,[],[f32,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X2,X3,X5)
      | ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).

fof(f32,plain,
    ! [X10,X11] :
      ( ~ product(additive_identity,X10,X11)
      | additive_identity = X11 ),
    inference(resolution,[],[f18,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ product(X0,X1,X4)
      | ~ product(X0,X1,X2)
      | X2 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).

fof(f18,axiom,
    ! [X10] : product(additive_identity,X10,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).

fof(f26,axiom,
    additive_identity != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).

fof(f25,axiom,
    additive_identity != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.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   : Tue Aug 30 11:53:49 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.48  % (14608)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.48  % (14600)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (14608)First to succeed.
% 0.20/0.50  % (14600)Instruction limit reached!
% 0.20/0.50  % (14600)------------------------------
% 0.20/0.50  % (14600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (14600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (14600)Termination reason: Unknown
% 0.20/0.50  % (14600)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (14600)Memory used [KB]: 6012
% 0.20/0.50  % (14600)Time elapsed: 0.083 s
% 0.20/0.50  % (14600)Instructions burned: 7 (million)
% 0.20/0.50  % (14600)------------------------------
% 0.20/0.50  % (14600)------------------------------
% 0.20/0.50  % (14608)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (14608)------------------------------
% 0.20/0.50  % (14608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (14608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (14608)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (14608)Memory used [KB]: 10746
% 0.20/0.50  % (14608)Time elapsed: 0.081 s
% 0.20/0.50  % (14608)Instructions burned: 18 (million)
% 0.20/0.50  % (14608)------------------------------
% 0.20/0.50  % (14608)------------------------------
% 0.20/0.50  % (14589)Success in time 0.144 s
%------------------------------------------------------------------------------