%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI269_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_uns --cores 0 -t %d %s

% Computer : n005.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 15:45:47 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   27 (   0 atm;   6 fun;  12 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $rat * $rat ) > $o ).

tff(f28,plain,
    $false,
    inference(gaussian_variable_elimination,[],[f27]) ).

tff(f27,plain,
    ! [X0: $rat] : ( $sum(X0,-11/2) != -13/2 ),
    inference(constrained_resolution,[],[f25,f21]) ).

tff(f21,plain,
    ! [X0: $rat] : ~ sQ0_eqProxy($sum(X0,-11/2),-13/2),
    inference(equality_proxy_replacement,[],[f15,f16]) ).

tff(f16,plain,
    ! [X0: $rat,X1: $rat] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f15,plain,
    ! [X0: $rat] : ( $sum(X0,-11/2) != -13/2 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ( $sum(X0,-11/2) != -13/2 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $sum(X0,-11/2) = -13/2 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $sum(X0,-11/2) = -13/2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_sum_problem_24) ).

tff(f25,plain,
    ! [X0: $rat] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI269=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:30:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (2516)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.18/0.49  % (2527)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.18/0.50  % (2530)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/42Mi)
% 0.18/0.50  % (2517)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.50  % (2519)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.50  % (2517)First to succeed.
% 0.18/0.50  % (2511)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.18/0.50  % (2519)Also succeeded, but the first one will report.
% 0.18/0.50  % (2517)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (2517)------------------------------
% 0.18/0.50  % (2517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (2517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (2517)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (2517)Memory used [KB]: 5373
% 0.18/0.50  % (2517)Time elapsed: 0.111 s
% 0.18/0.50  % (2517)Instructions burned: 1 (million)
% 0.18/0.50  % (2517)------------------------------
% 0.18/0.50  % (2517)------------------------------
% 0.18/0.50  % (2504)Success in time 0.166 s
%------------------------------------------------------------------------------