TSTP Solution File: NUM878_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM878_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 : n006.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 08:43:01 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   13 (   0 atm;   5 fun;   3 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f26,plain,
    $false,
    inference(trivial_inequality_removal,[],[f25]) ).

tff(f25,plain,
    1 != 1,
    inference(superposition,[],[f22,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f22,plain,
    ! [X0: $int] : ( $product(X0,X0) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ( $product(X0,X0) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $product(X0,X0) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $product(X0,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotent_element) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : NUM878_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 15:12:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (29436)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (29439)WARNING: value z3 for option sas not known
% 0.14/0.36  % (29438)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36  % (29437)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36  % (29439)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)
% 0.14/0.36  % (29441)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)
% 0.14/0.36  % (29443)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)
% 0.14/0.36  % (29442)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)
% 0.14/0.36  % (29438)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36  % (29438)Terminated due to inappropriate strategy.
% 0.14/0.36  % (29438)------------------------------
% 0.14/0.36  % (29438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29438)Termination reason: Inappropriate
% 0.14/0.36  
% 0.14/0.36  % (29437)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36  % (29438)Memory used [KB]: 723
% 0.14/0.36  % (29438)Time elapsed: 0.002 s
% 0.14/0.36  % (29438)Instructions burned: 2 (million)
% 0.14/0.36  % (29440)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36  % (29437)Terminated due to inappropriate strategy.
% 0.14/0.36  % (29437)------------------------------
% 0.14/0.36  % (29437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29437)Termination reason: Inappropriate
% 0.14/0.36  
% 0.14/0.36  % (29437)Memory used [KB]: 723
% 0.14/0.36  % (29437)Time elapsed: 0.002 s
% 0.14/0.36  % (29437)Instructions burned: 2 (million)
% 0.14/0.36  % (29438)------------------------------
% 0.14/0.36  % (29438)------------------------------
% 0.14/0.36  % (29437)------------------------------
% 0.14/0.36  % (29437)------------------------------
% 0.14/0.36  % (29440)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36  % (29440)Terminated due to inappropriate strategy.
% 0.14/0.36  % (29440)------------------------------
% 0.14/0.36  % (29440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29440)Termination reason: Inappropriate
% 0.14/0.36  
% 0.14/0.36  % (29440)Memory used [KB]: 723
% 0.14/0.36  % (29440)Time elapsed: 0.003 s
% 0.14/0.36  % (29440)Instructions burned: 2 (million)
% 0.14/0.36  % (29440)------------------------------
% 0.14/0.36  % (29440)------------------------------
% 0.14/0.36  % (29442)Also succeeded, but the first one will report.
% 0.14/0.36  % (29443)First to succeed.
% 0.14/0.36  % (29441)Also succeeded, but the first one will report.
% 0.14/0.36  % (29443)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29436"
% 0.14/0.36  % (29439)Also succeeded, but the first one will report.
% 0.14/0.36  % (29443)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (29443)------------------------------
% 0.14/0.36  % (29443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29443)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (29443)Memory used [KB]: 754
% 0.14/0.36  % (29443)Time elapsed: 0.003 s
% 0.14/0.36  % (29443)Instructions burned: 3 (million)
% 0.14/0.36  % (29436)Success in time 0.006 s
%------------------------------------------------------------------------------