TSTP Solution File: RNG023-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG023-6 : 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 : n027.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 18:15:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(trivial_inequality_removal,[],[f28]) ).

fof(f28,plain,
    additive_identity != additive_identity,
    inference(superposition,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).

fof(f18,plain,
    additive_identity != add(multiply(x,multiply(x,y)),additive_inverse(multiply(x,multiply(x,y)))),
    inference(forward_demodulation,[],[f17,f13]) ).

fof(f13,axiom,
    ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).

fof(f17,plain,
    additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
    inference(definition_unfolding,[],[f16,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).

fof(f16,axiom,
    additive_identity != associator(x,x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_alternative) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG023-6 : 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_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.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 12:03:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (27892)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.46  % (27892)First to succeed.
% 0.19/0.46  % (27892)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (27892)------------------------------
% 0.19/0.46  % (27892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (27892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (27892)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (27892)Memory used [KB]: 895
% 0.19/0.46  % (27892)Time elapsed: 0.064 s
% 0.19/0.46  % (27892)Instructions burned: 2 (million)
% 0.19/0.46  % (27892)------------------------------
% 0.19/0.46  % (27892)------------------------------
% 0.19/0.46  % (27882)Success in time 0.118 s
%------------------------------------------------------------------------------