%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n010.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 18:15:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f88,plain,
    $false,
    inference(trivial_inequality_removal,[],[f87]) ).

fof(f87,plain,
    additive_identity != additive_identity,
    inference(superposition,[],[f18,f86]) ).

fof(f86,plain,
    additive_identity = sF0,
    inference(superposition,[],[f17,f58]) ).

fof(f58,plain,
    ! [X3] : additive_identity = add(X3,X3),
    inference(superposition,[],[f2,f51]) ).

fof(f51,plain,
    ! [X2] : additive_inverse(X2) = X2,
    inference(forward_demodulation,[],[f50,f6]) ).

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

fof(f50,plain,
    ! [X2] : additive_inverse(X2) = additive_inverse(additive_inverse(X2)),
    inference(forward_demodulation,[],[f49,f15]) ).

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

fof(f49,plain,
    ! [X2] : additive_inverse(X2) = additive_inverse(additive_inverse(multiply(X2,X2))),
    inference(forward_demodulation,[],[f42,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(f42,plain,
    ! [X2] : additive_inverse(X2) = additive_inverse(multiply(additive_inverse(X2),X2)),
    inference(superposition,[],[f10,f15]) ).

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

fof(f17,plain,
    add(a,a) = sF0,
    introduced(function_definition,[]) ).

fof(f18,plain,
    additive_identity != sF0,
    inference(definition_folding,[],[f16,f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.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 11:34:59 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (341)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (333)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (341)First to succeed.
% 0.19/0.50  % (330)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (341)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (341)------------------------------
% 0.19/0.51  % (341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (341)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (341)Memory used [KB]: 5373
% 0.19/0.51  % (341)Time elapsed: 0.109 s
% 0.19/0.51  % (341)Instructions burned: 3 (million)
% 0.19/0.51  % (341)------------------------------
% 0.19/0.51  % (341)------------------------------
% 0.19/0.51  % (327)Success in time 0.158 s
%------------------------------------------------------------------------------