TSTP Solution File: ARI175_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI175_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Mon May 20 18:49:36 EDT 2024

% Result   : Theorem 166.05s 23.98s
% Output   : Refutation 166.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :  165 (   0 atm;  75 fun;  47 num;  43 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    :    9 (   0 usr;   7 con; 0-2 aty)
%            Number of variables   :   43 (  39   !;   4   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f188958,plain,
    $false,
    inference(evaluation,[],[f188952]) ).

tff(f188952,plain,
    23 != $sum(18,5),
    inference(superposition,[],[f184898,f16]) ).

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

tff(f184898,plain,
    ! [X0: $int] : ( 23 != $sum(18,$product(5,X0)) ),
    inference(evaluation,[],[f184897]) ).

tff(f184897,plain,
    ! [X0: $int] : ( 23 != $sum(5,$sum($product(5,X0),13)) ),
    inference(superposition,[],[f181677,f1715]) ).

tff(f1715,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($product(X0,X1),X2)) = $sum(X2,$product(X0,$sum(1,X1))) ),
    inference(superposition,[],[f259,f345]) ).

tff(f345,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f18,f16]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f259,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
    inference(superposition,[],[f4,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f181677,plain,
    ! [X0: $int] : ( 23 != $sum(13,$product(5,X0)) ),
    inference(evaluation,[],[f181674]) ).

tff(f181674,plain,
    ! [X0: $int] : ( 23 != $sum(5,$sum($product(5,X0),8)) ),
    inference(superposition,[],[f180642,f1707]) ).

tff(f1707,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum($product(X0,X1),X2)) = $sum($product(X0,$sum(1,X1)),X2) ),
    inference(superposition,[],[f4,f345]) ).

tff(f180642,plain,
    ! [X0: $int] : ( 23 != $sum($product(5,X0),8) ),
    inference(evaluation,[],[f179926]) ).

tff(f179926,plain,
    ! [X0: $int] : ( 23 != $sum($product(5,X0),$sum(5,3)) ),
    inference(superposition,[],[f51,f1714]) ).

tff(f1714,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum($product(X0,$sum(1,X1)),X2) = $sum($product(X0,X1),$sum(X0,X2)) ),
    inference(superposition,[],[f252,f345]) ).

tff(f252,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
    inference(superposition,[],[f4,f3]) ).

tff(f51,plain,
    ! [X0: $int] : ( 23 != $sum($product(5,X0),3) ),
    inference(superposition,[],[f41,f16]) ).

tff(f41,plain,
    ! [X0: $int,X1: $int] : ( 23 != $sum($product(5,X1),$product(3,X0)) ),
    inference(superposition,[],[f22,f3]) ).

tff(f22,plain,
    ! [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) != 23 ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) != 23 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) = 23 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] : ( $sum($product(3,X0),$product(5,X1)) = 23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI175_1 : TPTP v8.2.0. Released v5.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 12:59:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (23415)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (23418)WARNING: value z3 for option sas not known
% 0.21/0.38  % (23417)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  % (23416)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (23419)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (23418)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)
% 0.21/0.38  % (23420)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)
% 0.21/0.38  % (23421)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)
% 0.21/0.38  % (23422)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)
% 0.21/0.38  % (23417)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38  % (23416)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38  % (23416)Terminated due to inappropriate strategy.
% 0.21/0.38  % (23416)------------------------------
% 0.21/0.38  % (23416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (23417)Terminated due to inappropriate strategy.
% 0.21/0.38  % (23417)------------------------------
% 0.21/0.38  % (23417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (23416)Termination reason: Inappropriate
% 0.21/0.38  % (23417)Termination reason: Inappropriate
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (23416)Memory used [KB]: 723
% 0.21/0.38  % (23417)Memory used [KB]: 723
% 0.21/0.38  % (23416)Time elapsed: 0.002 s
% 0.21/0.38  % (23417)Time elapsed: 0.002 s
% 0.21/0.38  % (23416)Instructions burned: 2 (million)
% 0.21/0.38  % (23417)Instructions burned: 2 (million)
% 0.21/0.38  % (23419)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.38  % (23419)Terminated due to inappropriate strategy.
% 0.21/0.38  % (23419)------------------------------
% 0.21/0.38  % (23419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (23419)Termination reason: Inappropriate
% 0.21/0.38  
% 0.21/0.38  % (23419)Memory used [KB]: 723
% 0.21/0.38  % (23419)Time elapsed: 0.002 s
% 0.21/0.38  % (23419)Instructions burned: 2 (million)
% 0.21/0.38  % (23417)------------------------------
% 0.21/0.38  % (23417)------------------------------
% 0.21/0.38  % (23416)------------------------------
% 0.21/0.38  % (23416)------------------------------
% 0.21/0.38  % (23419)------------------------------
% 0.21/0.38  % (23419)------------------------------
% 0.21/0.39  % (23423)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.39  % (23424)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.39  % (23425)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.39  % (23423)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39  % (23423)Terminated due to inappropriate strategy.
% 0.21/0.39  % (23423)------------------------------
% 0.21/0.39  % (23423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39  % (23423)Termination reason: Inappropriate
% 0.21/0.39  
% 0.21/0.39  % (23423)Memory used [KB]: 723
% 0.21/0.39  % (23423)Time elapsed: 0.002 s
% 0.21/0.39  % (23423)Instructions burned: 2 (million)
% 0.21/0.39  % (23423)------------------------------
% 0.21/0.39  % (23423)------------------------------
% 0.21/0.41  % (23426)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 166.05/23.96  % (23425)First to succeed.
% 166.05/23.96  % (23425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23415"
% 166.05/23.98  % (23425)Refutation found. Thanks to Tanya!
% 166.05/23.98  % SZS status Theorem for theBenchmark
% 166.05/23.98  % SZS output start Proof for theBenchmark
% See solution above
% 166.05/23.98  % (23425)------------------------------
% 166.05/23.98  % (23425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 166.05/23.98  % (23425)Termination reason: Refutation
% 166.05/23.98  
% 166.05/23.98  % (23425)Memory used [KB]: 252883
% 166.05/23.98  % (23425)Time elapsed: 23.570 s
% 166.05/23.98  % (23425)Instructions burned: 83043 (million)
% 166.05/23.98  % (23415)Success in time 23.058 s
%------------------------------------------------------------------------------