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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ARI417_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:33:06 AM UTC 2026

% Result   : Theorem 0.19s 1.14s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :    5 (   4 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    :    2 (   1 avg)
%            Number arithmetic     :   16 (   0 atm;   4 fun;   8 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    ? [X0: $real] : ( $sum(41/20,-7/2) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_17) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : ( $sum(41/20,-7/2) = X0 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f14,plain,
    ! [X0: $real] : ( $sum(41/20,-7/2) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f15,plain,
    ! [X0: $real] : ( $sum(41/20,-7/2) != X0 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f16,plain,
    $false,
    inference(equality_resolution,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ARI417_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n002.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 20:52:37 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.14  % (740548)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.19/1.14  % (740661)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3613911997:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.19/1.14  % (740661)First to succeed.
% 0.19/1.14  % (740661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-740548"
% 0.19/1.14  % (740659)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2173557589:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.19/1.14  % (740662)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3325106318:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.19/1.14  % (740660)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3403737311:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/1.14  % (740663)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=554161655:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.19/1.14  % (740657)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3385845309:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/1.14  % (740658)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=686170083:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.19/1.14  % (740660)Also succeeded, but the first one will report.
% 0.19/1.14  % (740663)Also succeeded, but the first one will report.
% 0.19/1.14  % (740657)Also succeeded, but the first one will report.
% 0.19/1.14  % (740662)Also succeeded, but the first one will report.
% 0.19/1.14  % (740659)Also succeeded, but the first one will report.
% 0.19/1.14  % (740658)Also succeeded, but the first one will report.
% 0.19/1.14  % (740661)Refutation found. Thanks to Tanya!
% 0.19/1.14  % SZS status Theorem for theBenchmark
% 0.19/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.14  % (740661)------------------------------
% 0.19/1.14  % (740661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14  % (740661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14  % (740661)CaDiCaL version: 2.1.3
% 0.19/1.14  % (740661)Termination reason: Refutation
% 0.19/1.14  % (740661)Time elapsed: 0.001 s
% 0.19/1.14  % (740661)Peak memory usage: 88 MB
% 0.19/1.14  % (740661)------------------------------
% 0.19/1.14  % (740661)------------------------------
% 0.19/1.14  % (740548)Success in time 0.299 s
% 0.19/1.14  % Vampire exiting
%------------------------------------------------------------------------------