%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG024-6 : 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 : n011.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 0.16s 0.43s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   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   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f6]) ).

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

fof(f21,plain,
    additive_identity != add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y)))),
    inference(forward_demodulation,[],[f20,f10]) ).

fof(f10,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).

fof(f20,plain,
    additive_identity != add(additive_inverse(multiply(x,multiply(y,y))),multiply(x,multiply(y,y))),
    inference(forward_demodulation,[],[f19,f12]) ).

fof(f12,axiom,
    ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_alternative) ).

fof(f19,plain,
    additive_identity != add(additive_inverse(multiply(x,multiply(y,y))),multiply(multiply(x,y),y)),
    inference(forward_demodulation,[],[f17,f10]) ).

fof(f17,plain,
    additive_identity != add(multiply(multiply(x,y),y),additive_inverse(multiply(x,multiply(y,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,y,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_alternative) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG024-6 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 11:44:55 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.41  % (5609)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)
% 0.16/0.42  % (5617)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)
% 0.16/0.43  % (5617)First to succeed.
% 0.16/0.43  % (5617)Refutation found. Thanks to Tanya!
% 0.16/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.43  % (5617)------------------------------
% 0.16/0.43  % (5617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.43  % (5617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.43  % (5617)Termination reason: Refutation
% 0.16/0.43  
% 0.16/0.43  % (5617)Memory used [KB]: 5373
% 0.16/0.43  % (5617)Time elapsed: 0.003 s
% 0.16/0.43  % (5617)Instructions burned: 1 (million)
% 0.16/0.43  % (5617)------------------------------
% 0.16/0.43  % (5617)------------------------------
% 0.16/0.43  % (5593)Success in time 0.108 s
%------------------------------------------------------------------------------