%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG007-4 : 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 : n009.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 18:14:18 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f16,f45]) ).

fof(f45,plain,
    ! [X0] : additive_identity = add(X0,X0),
    inference(backward_demodulation,[],[f17,f42]) ).

fof(f42,plain,
    ! [X0] : additive_inverse(X0) = X0,
    inference(forward_demodulation,[],[f41,f15]) ).

fof(f15,axiom,
    ! [X0] : multiply(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).

fof(f41,plain,
    ! [X0] : additive_inverse(X0) = multiply(X0,X0),
    inference(forward_demodulation,[],[f40,f6]) ).

fof(f6,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).

fof(f40,plain,
    ! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
    inference(forward_demodulation,[],[f36,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse2) ).

fof(f36,plain,
    ! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
    inference(superposition,[],[f15,f10]) ).

fof(f10,axiom,
    ! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse1) ).

fof(f17,plain,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    inference(backward_demodulation,[],[f2,f13]) ).

fof(f13,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutative_addition) ).

fof(f2,axiom,
    ! [X0] : additive_identity = add(additive_inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).

fof(f16,axiom,
    additive_identity != add(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 11:39:50 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.47  % (32544)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.47  % (32525)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47  % (32525)First to succeed.
% 0.18/0.47  % (32525)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (32525)------------------------------
% 0.18/0.48  % (32525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (32525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (32525)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (32525)Memory used [KB]: 5500
% 0.18/0.48  % (32525)Time elapsed: 0.081 s
% 0.18/0.48  % (32525)Instructions burned: 3 (million)
% 0.18/0.48  % (32525)------------------------------
% 0.18/0.48  % (32525)------------------------------
% 0.18/0.48  % (32518)Success in time 0.139 s
%------------------------------------------------------------------------------