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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI175_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Fri Sep  1 13:38:08 EDT 2023

% Result   : Theorem 192.14s 28.01s
% Output   : Refutation 192.14s
% 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(f189372,plain,
    $false,
    inference(evaluation,[],[f189366]) ).

tff(f189366,plain,
    23 != $sum(18,5),
    inference(superposition,[],[f183646,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_140,[]) ).

tff(f183646,plain,
    ! [X2: $int] : ( 23 != $sum(18,$product(5,X2)) ),
    inference(evaluation,[],[f183645]) ).

tff(f183645,plain,
    ! [X2: $int] : ( 23 != $sum(5,$sum($product(5,X2),13)) ),
    inference(superposition,[],[f182125,f1704]) ).

tff(f1704,plain,
    ! [X28: $int,X29: $int,X30: $int] : ( $sum(X28,$sum($product(X28,X29),X30)) = $sum(X30,$product(X28,$sum(1,X29))) ),
    inference(superposition,[],[f258,f344]) ).

tff(f344,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_153,[]) ).

tff(f258,plain,
    ! [X8: $int,X9: $int,X7: $int] : ( $sum(X7,$sum(X8,X9)) = $sum(X9,$sum(X7,X8)) ),
    inference(superposition,[],[f4,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_138,[]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_139,[]) ).

tff(f182125,plain,
    ! [X1: $int] : ( 23 != $sum(13,$product(5,X1)) ),
    inference(evaluation,[],[f182122]) ).

tff(f182122,plain,
    ! [X1: $int] : ( 23 != $sum(5,$sum($product(5,X1),8)) ),
    inference(superposition,[],[f181096,f1696]) ).

tff(f1696,plain,
    ! [X6: $int,X4: $int,X5: $int] : ( $sum(X4,$sum($product(X4,X5),X6)) = $sum($product(X4,$sum(1,X5)),X6) ),
    inference(superposition,[],[f4,f344]) ).

tff(f181096,plain,
    ! [X388: $int] : ( 23 != $sum($product(5,X388),8) ),
    inference(evaluation,[],[f180686]) ).

tff(f180686,plain,
    ! [X388: $int] : ( 23 != $sum($product(5,X388),$sum(5,3)) ),
    inference(superposition,[],[f50,f1703]) ).

tff(f1703,plain,
    ! [X26: $int,X27: $int,X25: $int] : ( $sum($product(X25,X26),$sum(X25,X27)) = $sum($product(X25,$sum(1,X26)),X27) ),
    inference(superposition,[],[f251,f344]) ).

tff(f251,plain,
    ! [X6: $int,X4: $int,X5: $int] : ( $sum(X4,$sum(X5,X6)) = $sum($sum(X5,X4),X6) ),
    inference(superposition,[],[f4,f3]) ).

tff(f50,plain,
    ! [X0: $int] : ( 23 != $sum($product(5,X0),3) ),
    inference(superposition,[],[f40,f16]) ).

tff(f40,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/tmp/tmp.7qMtkbQ22X/Vampire---4.8_25340',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI175_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.34  % Computer : n006.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Wed Aug 30 17:58:35 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.40  % (25446)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (25447)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41  % (25448)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41  % (25450)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41  % (25449)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.41  % (25451)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.41  % (25452)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.41  % (25447)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (25447)Terminated due to inappropriate strategy.
% 0.21/0.41  % (25447)------------------------------
% 0.21/0.41  % (25447)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (25448)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (25448)Terminated due to inappropriate strategy.
% 0.21/0.41  % (25448)------------------------------
% 0.21/0.41  % (25448)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (25448)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (25453)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.41  % (25447)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (25447)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (25447)Memory used [KB]: 767
% 0.21/0.41  % (25447)Time elapsed: 0.002 s
% 0.21/0.41  % (25447)------------------------------
% 0.21/0.41  % (25447)------------------------------
% 0.21/0.41  % (25448)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (25448)Memory used [KB]: 767
% 0.21/0.41  % (25450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (25448)Time elapsed: 0.002 s
% 0.21/0.41  % (25448)------------------------------
% 0.21/0.41  % (25448)------------------------------
% 0.21/0.41  % (25450)Terminated due to inappropriate strategy.
% 0.21/0.41  % (25450)------------------------------
% 0.21/0.41  % (25450)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (25450)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (25450)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (25450)Memory used [KB]: 767
% 0.21/0.41  % (25450)Time elapsed: 0.003 s
% 0.21/0.41  % (25450)------------------------------
% 0.21/0.41  % (25450)------------------------------
% 0.21/0.41  % (25454)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.21/0.41  % (25455)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.21/0.41  % (25456)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.21/0.41  % (25454)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (25454)Terminated due to inappropriate strategy.
% 0.21/0.41  % (25454)------------------------------
% 0.21/0.41  % (25454)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (25454)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (25454)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (25454)Memory used [KB]: 767
% 0.21/0.41  % (25454)Time elapsed: 0.003 s
% 0.21/0.41  % (25454)------------------------------
% 0.21/0.41  % (25454)------------------------------
% 0.21/0.42  % (25457)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 Vampire---4 for (354ds/0Mi)
% 191.80/27.97  % (25456)First to succeed.
% 192.14/28.01  % (25456)Refutation found. Thanks to Tanya!
% 192.14/28.01  % SZS status Theorem for Vampire---4
% 192.14/28.01  % SZS output start Proof for Vampire---4
% See solution above
% 192.14/28.01  % (25456)------------------------------
% 192.14/28.01  % (25456)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 192.14/28.01  % (25456)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 192.14/28.01  % (25456)Termination reason: Refutation
% 192.14/28.01  
% 192.14/28.01  % (25456)Memory used [KB]: 1119896
% 192.14/28.01  % (25456)Time elapsed: 27.542 s
% 192.14/28.01  % (25456)------------------------------
% 192.14/28.01  % (25456)------------------------------
% 192.14/28.01  % (25446)Success in time 27.418 s
% 192.14/28.01  % Vampire---4.8 exiting
%------------------------------------------------------------------------------