%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI076_1 : TPTP v8.1.0. Released v5.0.0.
% 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 15:47:23 EDT 2022

% Result   : Theorem 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   52 (   0 atm;  18 fun;  17 num;  17 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  15   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f142,plain,
    $false,
    inference(equality_resolution,[],[f109]) ).

tff(f109,plain,
    ! [X0: $int] : ( 3 != X0 ),
    inference(superposition,[],[f88,f5]) ).

tff(f5,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f88,plain,
    ! [X8: $int] : ( 3 != $sum(X8,0) ),
    inference(superposition,[],[f64,f7]) ).

tff(f7,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    introduced(theory_axiom_145,[]) ).

tff(f64,plain,
    ! [X0: $int,X1: $int] : ( 3 != $sum(X1,$sum(-2,X0)) ),
    inference(superposition,[],[f57,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f57,plain,
    ! [X0: $int,X1: $int] : ( 3 != $sum(X0,$sum(X1,-2)) ),
    inference(superposition,[],[f16,f4]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f16,plain,
    ! [X0: $int] : ( $sum(X0,-2) != 3 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ( $sum(X0,-2) != 3 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $sum(X0,-2) = 3 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $sum(X0,-2) = 3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_what_n2_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : ARI076=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 29 15:22:30 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.22/0.51  % (9688)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.22/0.51  % (9696)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 (3000ds/100Mi)
% 0.22/0.52  % (9696)First to succeed.
% 0.22/0.53  % (9679)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.22/0.53  % (9682)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.22/0.53  % (9704)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.22/0.53  % (9696)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Theorem for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (9696)------------------------------
% 0.22/0.53  % (9696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (9696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (9696)Termination reason: Refutation
% 0.22/0.53  
% 0.22/0.53  % (9696)Memory used [KB]: 1023
% 0.22/0.53  % (9696)Time elapsed: 0.095 s
% 0.22/0.53  % (9696)Instructions burned: 7 (million)
% 0.22/0.53  % (9696)------------------------------
% 0.22/0.53  % (9696)------------------------------
% 0.22/0.53  % (9676)Success in time 0.16 s
%------------------------------------------------------------------------------