%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI255_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 : n012.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 15:45:45 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   56 (   0 atm;  19 fun;  19 num;  18 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   :   18 (  16   !;   2   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f41,plain,
    $false,
    inference(equality_resolution,[],[f36]) ).

tff(f36,plain,
    ! [X0: $rat] : ( 1/2 != X0 ),
    inference(superposition,[],[f31,f5]) ).

tff(f5,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f31,plain,
    ! [X4: $rat] : ( 1/2 != $sum(X4,0/1) ),
    inference(superposition,[],[f23,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_145,[]) ).

tff(f23,plain,
    ! [X0: $rat,X1: $rat] : ( 1/2 != $sum(X1,$sum(5/16,X0)) ),
    inference(superposition,[],[f22,f3]) ).

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

tff(f22,plain,
    ! [X2: $rat,X3: $rat] : ( 1/2 != $sum(X2,$sum(X3,5/16)) ),
    inference(superposition,[],[f16,f4]) ).

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

tff(f16,plain,
    ! [X0: $rat] : ( 1/2 != $sum(X0,5/16) ),
    inference(superposition,[],[f15,f3]) ).

tff(f15,plain,
    ! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ARI255=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12  % 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 : n012.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 15:29:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (4091)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50  % (4094)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50  % (4118)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.50  % (4097)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.18/0.50  % (4111)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 (2999ds/46Mi)
% 0.18/0.50  % (4103)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 (2999ds/50Mi)
% 0.18/0.51  % (4111)First to succeed.
% 0.18/0.51  % (4111)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (4111)------------------------------
% 0.18/0.51  % (4111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (4111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (4111)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (4111)Memory used [KB]: 1023
% 0.18/0.51  % (4111)Time elapsed: 0.080 s
% 0.18/0.51  % (4111)Instructions burned: 2 (million)
% 0.18/0.51  % (4111)------------------------------
% 0.18/0.51  % (4111)------------------------------
% 0.18/0.51  % (4088)Success in time 0.17 s
%------------------------------------------------------------------------------