%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : BOO006-2 : 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 : n020.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 15:49:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f233,plain,
    $false,
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    additive_identity != additive_identity,
    inference(superposition,[],[f41,f151]) ).

fof(f151,plain,
    ! [X1] : additive_identity = multiply(additive_identity,X1),
    inference(forward_demodulation,[],[f137,f10]) ).

fof(f10,axiom,
    ! [X0] : additive_identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).

fof(f137,plain,
    ! [X1] : multiply(inverse(X1),X1) = multiply(additive_identity,X1),
    inference(superposition,[],[f113,f13]) ).

fof(f13,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).

fof(f113,plain,
    ! [X18,X19] : multiply(add(inverse(X18),X19),X18) = multiply(X19,X18),
    inference(forward_demodulation,[],[f91,f14]) ).

fof(f14,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).

fof(f91,plain,
    ! [X18,X19] : multiply(add(inverse(X18),X19),X18) = add(additive_identity,multiply(X19,X18)),
    inference(superposition,[],[f5,f10]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).

fof(f41,plain,
    additive_identity != multiply(additive_identity,a),
    inference(superposition,[],[f15,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f15,axiom,
    additive_identity != multiply(a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:06:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (19380)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (19380)First to succeed.
% 0.19/0.49  % (19372)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  % (19371)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (19380)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (19380)------------------------------
% 0.19/0.50  % (19380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (19380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (19380)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (19380)Memory used [KB]: 1151
% 0.19/0.50  % (19380)Time elapsed: 0.094 s
% 0.19/0.50  % (19380)Instructions burned: 13 (million)
% 0.19/0.50  % (19380)------------------------------
% 0.19/0.50  % (19380)------------------------------
% 0.19/0.50  % (19360)Success in time 0.154 s
%------------------------------------------------------------------------------