TSTP Solution File: NUM904_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM904_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Sun May  5 08:43:04 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   29 (   0 atm;  16 fun;   8 num;   5 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    :    4 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $rat ).

tff(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_140,[]) ).

tff(f17,plain,
    0/1 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    0/1 != $sum(sK0,$uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $rat] : ( $sum(X0,$uminus(X0)) != 0/1 )
   => ( 0/1 != $sum(sK0,$uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $rat] : ( $sum(X0,$uminus(X0)) != 0/1 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_uminus_problem_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM904_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:10:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (11727)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (11730)WARNING: value z3 for option sas not known
% 0.14/0.37  % (11731)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (11732)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (11734)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (11728)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (11729)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (11733)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (11731)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37  % (11729)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37  % (11728)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37  % (11729)Terminated due to inappropriate strategy.
% 0.14/0.37  % (11729)------------------------------
% 0.14/0.37  % (11729)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (11729)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (11728)Terminated due to inappropriate strategy.
% 0.14/0.37  % (11728)------------------------------
% 0.14/0.37  % (11728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (11729)Memory used [KB]: 722
% 0.14/0.37  % (11728)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (11729)Time elapsed: 0.002 s
% 0.14/0.37  % (11728)Memory used [KB]: 722
% 0.14/0.37  % (11728)Time elapsed: 0.002 s
% 0.14/0.37  % (11728)Instructions burned: 2 (million)
% 0.14/0.37  % (11729)Instructions burned: 2 (million)
% 0.14/0.37  % (11730)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (11731)Terminated due to inappropriate strategy.
% 0.14/0.37  % (11731)------------------------------
% 0.14/0.37  % (11731)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (11731)Termination reason: Inappropriate
% 0.14/0.37  
% 0.14/0.37  % (11731)Memory used [KB]: 722
% 0.14/0.37  % (11731)Time elapsed: 0.003 s
% 0.14/0.37  % (11731)Instructions burned: 2 (million)
% 0.14/0.38  % (11729)------------------------------
% 0.14/0.38  % (11729)------------------------------
% 0.14/0.38  % (11728)------------------------------
% 0.14/0.38  % (11728)------------------------------
% 0.14/0.38  % (11731)------------------------------
% 0.14/0.38  % (11731)------------------------------
% 0.14/0.38  % (11734)First to succeed.
% 0.14/0.38  % (11733)Also succeeded, but the first one will report.
% 0.14/0.38  % (11734)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11727"
% 0.14/0.38  % (11732)Also succeeded, but the first one will report.
% 0.14/0.38  % (11734)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (11734)------------------------------
% 0.14/0.38  % (11734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (11734)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (11734)Memory used [KB]: 748
% 0.14/0.38  % (11734)Time elapsed: 0.004 s
% 0.14/0.38  % (11734)Instructions burned: 2 (million)
% 0.14/0.38  % (11727)Success in time 0.009 s
%------------------------------------------------------------------------------